TSTP Solution File: SET733+4 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET733+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n018.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 : Thu Aug 31 15:26:12 EDT 2023
% Result : Theorem 19.54s 3.47s
% Output : Proof 84.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET733+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34 % Computer : n018.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 11:49:15 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.25/1.19 Prover 4: Preprocessing ...
% 3.25/1.19 Prover 1: Preprocessing ...
% 3.87/1.22 Prover 2: Preprocessing ...
% 3.87/1.22 Prover 6: Preprocessing ...
% 3.87/1.22 Prover 3: Preprocessing ...
% 3.87/1.22 Prover 5: Preprocessing ...
% 3.87/1.22 Prover 0: Preprocessing ...
% 8.95/2.00 Prover 5: Proving ...
% 8.95/2.01 Prover 2: Proving ...
% 8.95/2.06 Prover 6: Proving ...
% 10.15/2.15 Prover 3: Constructing countermodel ...
% 10.15/2.16 Prover 1: Constructing countermodel ...
% 13.75/2.71 Prover 4: Constructing countermodel ...
% 14.66/2.77 Prover 0: Proving ...
% 19.54/3.47 Prover 0: proved (2837ms)
% 19.54/3.47
% 19.54/3.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.54/3.47
% 19.54/3.47 Prover 3: stopped
% 19.54/3.47 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.54/3.47 Prover 5: stopped
% 19.54/3.48 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 19.54/3.48 Prover 6: stopped
% 19.93/3.48 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.93/3.49 Prover 2: stopped
% 19.93/3.49 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 19.93/3.49 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 19.93/3.52 Prover 7: Preprocessing ...
% 19.93/3.54 Prover 8: Preprocessing ...
% 19.93/3.55 Prover 10: Preprocessing ...
% 19.93/3.56 Prover 13: Preprocessing ...
% 19.93/3.57 Prover 11: Preprocessing ...
% 20.94/3.62 Prover 7: Warning: ignoring some quantifiers
% 21.01/3.63 Prover 7: Constructing countermodel ...
% 21.01/3.66 Prover 10: Warning: ignoring some quantifiers
% 21.01/3.69 Prover 10: Constructing countermodel ...
% 21.60/3.73 Prover 8: Warning: ignoring some quantifiers
% 21.60/3.74 Prover 13: Warning: ignoring some quantifiers
% 21.60/3.74 Prover 8: Constructing countermodel ...
% 21.60/3.76 Prover 13: Constructing countermodel ...
% 22.17/3.80 Prover 10: gave up
% 22.17/3.82 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 23.01/3.89 Prover 16: Preprocessing ...
% 23.22/4.04 Prover 16: Warning: ignoring some quantifiers
% 24.16/4.05 Prover 16: Constructing countermodel ...
% 25.36/4.22 Prover 11: Constructing countermodel ...
% 62.83/9.18 Prover 13: stopped
% 62.83/9.19 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 63.57/9.25 Prover 19: Preprocessing ...
% 65.86/9.63 Prover 19: Warning: ignoring some quantifiers
% 66.56/9.66 Prover 19: Constructing countermodel ...
% 77.15/11.09 Prover 16: stopped
% 81.51/11.59 Prover 4: Found proof (size 22419)
% 81.51/11.59 Prover 4: proved (10959ms)
% 81.51/11.59 Prover 7: stopped
% 81.51/11.59 Prover 11: stopped
% 81.51/11.59 Prover 8: stopped
% 81.51/11.59 Prover 1: stopped
% 81.51/11.59 Prover 19: stopped
% 81.51/11.60
% 81.51/11.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 81.51/11.60
% 82.05/11.74 % SZS output start Proof for theBenchmark
% 82.05/11.74 Assumptions after simplification:
% 82.05/11.74 ---------------------------------
% 82.05/11.74
% 82.05/11.74 (compose_function)
% 82.05/11.78 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 82.05/11.78 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 82.05/11.78 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 82.35/11.78 ~ (apply(v1, v5, v9) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) |
% 82.35/11.78 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any]
% 82.35/11.78 : ((apply(v0, v9, v6) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10
% 82.35/11.78 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 =
% 82.35/11.78 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 82.35/11.78 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 82.35/11.78 int] : ! [v9: $i] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) =
% 82.35/11.78 v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ~ $i(v9)
% 82.35/11.78 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 82.35/11.78 $i(v0) | ? [v10: any] : ? [v11: any] : ((apply(v1, v5, v9) = v11 &
% 82.35/11.78 member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4)
% 82.35/11.78 = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & !
% 82.35/11.78 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 82.35/11.78 : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 82.35/11.78 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 82.35/11.78 ~ (member(v9, v3) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 82.35/11.78 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any] :
% 82.35/11.78 ((apply(v1, v5, v9) = v10 & apply(v0, v9, v6) = v11 & ( ~ (v11 = 0) | ~
% 82.35/11.78 (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11
% 82.35/11.78 = 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 82.35/11.78 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 82.35/11.78 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) |
% 82.35/11.78 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 82.35/11.78 $i(v0) | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ?
% 82.35/11.78 [v12: int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 82.35/11.78 apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10, v3) = 0)
% 82.35/11.78 | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 =
% 82.35/11.78 0))))))
% 82.35/11.78
% 82.35/11.78 (identity)
% 82.35/11.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 82.35/11.79 (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 82.35/11.79 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0:
% 82.35/11.79 $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ~
% 82.35/11.79 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & apply(v0,
% 82.35/11.79 v3, v3) = v4 & member(v3, v1) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i]
% 82.35/11.79 : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | ~
% 82.35/11.79 $i(v2) | ~ $i(v1) | ~ $i(v0) | apply(v0, v2, v2) = 0)
% 82.35/11.79
% 82.35/11.79 (injective)
% 82.35/11.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 82.35/11.80 $i] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0)
% 82.35/11.80 | ~ (apply(v0, v3, v5) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 82.35/11.80 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 82.35/11.80 (member(v5, v2) = v8 & member(v4, v1) = v7 & member(v3, v1) = v6 & ( ~ (v8 =
% 82.35/11.80 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 82.35/11.80 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 | ~
% 82.35/11.80 (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3,
% 82.35/11.80 v1) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 82.35/11.80 ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : (apply(v0, v3, v5) =
% 82.35/11.80 v8 & member(v5, v2) = v7 & member(v4, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 =
% 82.35/11.80 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 82.35/11.80 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v3 | ~ (injective(v0, v1, v2) =
% 82.35/11.80 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ~ $i(v5) | ~
% 82.35/11.80 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ?
% 82.35/11.80 [v7: any] : ? [v8: any] : (apply(v0, v4, v5) = v8 & member(v5, v2) = v7 &
% 82.35/11.80 member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & !
% 82.35/11.80 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 82.35/11.80 : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~
% 82.35/11.80 (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 82.35/11.80 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 82.35/11.80 (apply(v0, v4, v5) = v7 & apply(v0, v3, v5) = v6 & ( ~ (v7 = 0) | ~ (v6 =
% 82.35/11.80 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 =
% 82.35/11.80 0 | ~ (injective(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 82.35/11.80 [v4: $i] : ? [v5: $i] : ? [v6: $i] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0
% 82.35/11.80 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 &
% 82.35/11.80 member(v4, v1) = 0 & $i(v6) & $i(v5) & $i(v4)))
% 82.35/11.80
% 82.35/11.80 (maps)
% 82.35/11.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 82.35/11.80 $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~
% 82.35/11.80 (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 82.35/11.80 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 82.35/11.80 (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 =
% 82.35/11.80 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 82.35/11.80 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0,
% 82.35/11.81 v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ~
% 82.35/11.81 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6:
% 82.35/11.81 any] : ? [v7: any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5,
% 82.35/11.81 v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 =
% 82.35/11.81 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 82.35/11.81 [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0,
% 82.35/11.81 v3, v4) = 0) | ~ (member(v5, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 82.35/11.81 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 82.35/11.81 ? [v8: any] : (apply(v0, v3, v5) = v8 & member(v4, v2) = v7 & member(v3, v1)
% 82.35/11.81 = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1:
% 82.35/11.81 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 82.35/11.81 (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) |
% 82.35/11.81 ~ (member(v3, v1) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 82.35/11.81 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 &
% 82.35/11.81 apply(v0, v3, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : !
% 82.35/11.81 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) |
% 82.35/11.81 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 82.35/11.81 : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int]
% 82.35/11.81 : ? [v12: $i] : ? [v13: int] : ($i(v12) & $i(v6) & $i(v5) & $i(v4) & ((v13
% 82.35/11.81 = 0 & member(v12, v1) = 0 & ! [v14: $i] : ( ~ (apply(v0, v12, v14) =
% 82.35/11.81 0) | ~ $i(v14) | ? [v15: int] : ( ~ (v15 = 0) & member(v14, v2)
% 82.35/11.81 = v15)) & ! [v14: $i] : ( ~ (member(v14, v2) = 0) | ~ $i(v14) |
% 82.35/11.81 ? [v15: int] : ( ~ (v15 = 0) & apply(v0, v12, v14) = v15))) | (v11 =
% 82.35/11.81 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4,
% 82.35/11.81 v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5,
% 82.35/11.81 v2) = 0 & member(v4, v1) = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 82.35/11.81 [v2: $i] : ! [v3: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0)
% 82.35/11.81 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0,
% 82.35/11.81 v3, v4) = 0 & member(v4, v2) = 0 & $i(v4)))
% 82.35/11.81
% 82.35/11.81 (thII24)
% 82.35/11.81 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 82.35/11.81 int] : ( ~ (v5 = 0) & injective(v0, v2, v3) = v5 & identity(v4, v2) = 0 &
% 82.35/11.81 compose_function(v1, v0, v2, v3, v2) = v4 & maps(v1, v3, v2) = 0 & maps(v0,
% 82.35/11.81 v2, v3) = 0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 82.35/11.81
% 82.35/11.81 (function-axioms)
% 82.35/11.82 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 82.35/11.82 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 |
% 82.35/11.82 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~
% 82.35/11.82 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 82.35/11.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 82.35/11.82 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5,
% 82.35/11.82 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 82.35/11.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 82.35/11.82 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5,
% 82.35/11.82 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 82.35/11.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 82.35/11.82 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5,
% 82.35/11.82 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 82.35/11.82 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 82.35/11.82 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~
% 82.35/11.82 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 82.35/11.82 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 82.35/11.82 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~
% 82.35/11.82 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 82.35/11.82 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 82.35/11.82 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5,
% 82.35/11.82 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 82.35/11.82 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~
% 82.35/11.82 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 82.35/11.82 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~
% 82.35/11.82 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 82.35/11.82 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) |
% 82.35/11.82 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 82.35/11.82 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 |
% 82.35/11.82 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & !
% 82.35/11.82 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 82.35/11.82 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~
% 82.35/11.82 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 82.35/11.82 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 82.35/11.82 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0:
% 82.35/11.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 82.35/11.82 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) =
% 82.35/11.82 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 82.35/11.82 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) |
% 82.35/11.82 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 82.35/11.82 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~
% 82.35/11.82 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 82.35/11.82 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) &
% 82.35/11.82 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 82.35/11.82 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 82.35/11.82 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 82.35/11.82 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0:
% 82.35/11.82 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 82.35/11.82 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : !
% 82.35/11.82 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~
% 82.35/11.82 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 82.35/11.82 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) =
% 82.35/11.82 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 82.35/11.82 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~
% 82.35/11.82 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 82.35/11.82 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3,
% 82.35/11.82 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 82.35/11.82 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 82.35/11.82 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 82.35/11.82 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) =
% 82.35/11.82 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) =
% 82.35/11.82 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 82.35/11.82 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : !
% 82.35/11.82 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~
% 82.35/11.82 (power_set(v2) = v0))
% 82.35/11.82
% 82.35/11.82 Further assumptions not needed in the proof:
% 82.35/11.82 --------------------------------------------
% 82.35/11.82 compose_predicate, decreasing_function, difference, empty_set, equal_maps,
% 82.35/11.82 equal_set, image2, image3, increasing_function, intersection, inverse_function,
% 82.35/11.82 inverse_image2, inverse_image3, inverse_predicate, isomorphism, one_to_one,
% 82.35/11.82 power_set, product, singleton, subset, sum, surjective, union, unordered_pair
% 82.35/11.82
% 82.35/11.82 Those formulas are unsatisfiable:
% 82.35/11.82 ---------------------------------
% 82.35/11.82
% 82.35/11.82 Begin of proof
% 82.35/11.82 |
% 82.35/11.82 | ALPHA: (maps) implies:
% 82.35/11.82 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (maps(v0,
% 82.35/11.82 | v1, v2) = 0) | ~ (member(v3, v1) = 0) | ~ $i(v3) | ~ $i(v2) |
% 82.35/11.82 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0, v3, v4) = 0 &
% 82.35/11.82 | member(v4, v2) = 0 & $i(v4)))
% 82.35/11.83 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 82.35/11.83 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2)
% 82.35/11.83 | = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ~
% 82.35/11.83 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 82.35/11.83 | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 & apply(v0, v3,
% 82.35/11.83 | v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 82.35/11.83 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 82.35/11.83 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 82.35/11.83 | v5) = 0) | ~ (member(v4, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 82.35/11.83 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 82.35/11.83 | any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5, v2) = v7
% 82.35/11.83 | & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 82.35/11.83 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 82.35/11.83 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 82.35/11.83 | v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) |
% 82.35/11.83 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 82.35/11.83 | any] : ? [v8: any] : (member(v5, v2) = v8 & member(v4, v2) = v7 &
% 82.35/11.83 | member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 82.35/11.83 |
% 82.35/11.83 | ALPHA: (compose_function) implies:
% 82.35/11.83 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 82.35/11.83 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (compose_function(v0, v1,
% 82.35/11.83 | v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ~ $i(v6) | ~
% 82.35/11.83 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 82.35/11.83 | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ? [v12:
% 82.35/11.83 | int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 82.35/11.83 | apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10,
% 82.35/11.83 | v3) = 0) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~
% 82.35/11.83 | (v9 = 0) | ~ (v8 = 0))))))
% 82.35/11.83 |
% 82.35/11.83 | ALPHA: (identity) implies:
% 82.35/11.83 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) |
% 82.35/11.83 | ~ (member(v2, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 82.35/11.83 | apply(v0, v2, v2) = 0)
% 82.35/11.83 |
% 82.35/11.83 | ALPHA: (injective) implies:
% 82.35/11.83 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 82.35/11.83 | (injective(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ?
% 82.35/11.83 | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ( ~ (v5 = v4) & apply(v0, v5,
% 82.35/11.83 | v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5,
% 82.35/11.83 | v1) = 0 & member(v4, v1) = 0 & $i(v6) & $i(v5) & $i(v4)))
% 82.35/11.83 |
% 82.35/11.83 | ALPHA: (function-axioms) implies:
% 82.35/11.83 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 82.35/11.83 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2)
% 82.35/11.83 | = v0))
% 82.35/11.83 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 82.35/11.84 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 82.35/11.84 | (apply(v4, v3, v2) = v0))
% 82.35/11.84 |
% 82.35/11.84 | DELTA: instantiating (thII24) with fresh symbols all_32_0, all_32_1, all_32_2,
% 82.35/11.84 | all_32_3, all_32_4, all_32_5 gives:
% 82.35/11.84 | (10) ~ (all_32_0 = 0) & injective(all_32_5, all_32_3, all_32_2) = all_32_0
% 82.35/11.84 | & identity(all_32_1, all_32_3) = 0 & compose_function(all_32_4,
% 82.35/11.84 | all_32_5, all_32_3, all_32_2, all_32_3) = all_32_1 & maps(all_32_4,
% 82.35/11.84 | all_32_2, all_32_3) = 0 & maps(all_32_5, all_32_3, all_32_2) = 0 &
% 82.35/11.84 | $i(all_32_1) & $i(all_32_2) & $i(all_32_3) & $i(all_32_4) &
% 82.35/11.84 | $i(all_32_5)
% 82.35/11.84 |
% 82.35/11.84 | ALPHA: (10) implies:
% 82.35/11.84 | (11) ~ (all_32_0 = 0)
% 82.35/11.84 | (12) $i(all_32_5)
% 82.35/11.84 | (13) $i(all_32_4)
% 82.35/11.84 | (14) $i(all_32_3)
% 82.35/11.84 | (15) $i(all_32_2)
% 82.35/11.84 | (16) $i(all_32_1)
% 82.35/11.84 | (17) maps(all_32_5, all_32_3, all_32_2) = 0
% 82.35/11.84 | (18) maps(all_32_4, all_32_2, all_32_3) = 0
% 82.35/11.84 | (19) compose_function(all_32_4, all_32_5, all_32_3, all_32_2, all_32_3) =
% 82.35/11.84 | all_32_1
% 82.35/11.84 | (20) identity(all_32_1, all_32_3) = 0
% 82.35/11.84 | (21) injective(all_32_5, all_32_3, all_32_2) = all_32_0
% 82.35/11.84 |
% 82.35/11.84 | GROUND_INST: instantiating (7) with all_32_5, all_32_3, all_32_2, all_32_0,
% 82.35/11.84 | simplifying with (12), (14), (15), (21) gives:
% 82.35/11.84 | (22) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0)
% 82.35/11.84 | & apply(all_32_5, v1, v2) = 0 & apply(all_32_5, v0, v2) = 0 &
% 82.35/11.84 | member(v2, all_32_2) = 0 & member(v1, all_32_3) = 0 & member(v0,
% 82.35/11.84 | all_32_3) = 0 & $i(v2) & $i(v1) & $i(v0))
% 82.35/11.84 |
% 82.35/11.84 | BETA: splitting (22) gives:
% 82.35/11.84 |
% 82.35/11.84 | Case 1:
% 82.35/11.84 | |
% 82.35/11.84 | | (23) all_32_0 = 0
% 82.35/11.84 | |
% 82.35/11.84 | | REDUCE: (11), (23) imply:
% 82.35/11.84 | | (24) $false
% 82.35/11.84 | |
% 82.35/11.84 | | CLOSE: (24) is inconsistent.
% 82.35/11.84 | |
% 82.35/11.84 | Case 2:
% 82.35/11.84 | |
% 82.35/11.84 | | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) &
% 82.35/11.84 | | apply(all_32_5, v1, v2) = 0 & apply(all_32_5, v0, v2) = 0 &
% 82.35/11.84 | | member(v2, all_32_2) = 0 & member(v1, all_32_3) = 0 & member(v0,
% 82.35/11.84 | | all_32_3) = 0 & $i(v2) & $i(v1) & $i(v0))
% 82.35/11.84 | |
% 82.35/11.84 | | DELTA: instantiating (25) with fresh symbols all_48_0, all_48_1, all_48_2
% 82.35/11.84 | | gives:
% 82.35/11.84 | | (26) ~ (all_48_1 = all_48_2) & apply(all_32_5, all_48_1, all_48_0) = 0 &
% 82.35/11.84 | | apply(all_32_5, all_48_2, all_48_0) = 0 & member(all_48_0, all_32_2)
% 82.35/11.84 | | = 0 & member(all_48_1, all_32_3) = 0 & member(all_48_2, all_32_3) =
% 82.35/11.85 | | 0 & $i(all_48_0) & $i(all_48_1) & $i(all_48_2)
% 82.35/11.85 | |
% 82.35/11.85 | | ALPHA: (26) implies:
% 82.35/11.85 | | (27) ~ (all_48_1 = all_48_2)
% 82.35/11.85 | | (28) $i(all_48_2)
% 82.35/11.85 | | (29) $i(all_48_1)
% 82.35/11.85 | | (30) $i(all_48_0)
% 82.35/11.85 | | (31) member(all_48_2, all_32_3) = 0
% 82.35/11.85 | | (32) member(all_48_1, all_32_3) = 0
% 82.35/11.85 | | (33) member(all_48_0, all_32_2) = 0
% 82.35/11.85 | | (34) apply(all_32_5, all_48_2, all_48_0) = 0
% 82.35/11.85 | | (35) apply(all_32_5, all_48_1, all_48_0) = 0
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (1) with all_32_5, all_32_3, all_32_2, all_48_2,
% 82.35/11.85 | | simplifying with (12), (14), (15), (17), (28), (31) gives:
% 82.35/11.85 | | (36) ? [v0: $i] : (apply(all_32_5, all_48_2, v0) = 0 & member(v0,
% 82.35/11.85 | | all_32_2) = 0 & $i(v0))
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (6) with all_32_1, all_32_3, all_48_2,
% 82.35/11.85 | | simplifying with (14), (16), (20), (28), (31) gives:
% 82.35/11.85 | | (37) apply(all_32_1, all_48_2, all_48_2) = 0
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (1) with all_32_5, all_32_3, all_32_2, all_48_1,
% 82.35/11.85 | | simplifying with (12), (14), (15), (17), (29), (32) gives:
% 82.35/11.85 | | (38) ? [v0: $i] : (apply(all_32_5, all_48_1, v0) = 0 & member(v0,
% 82.35/11.85 | | all_32_2) = 0 & $i(v0))
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (6) with all_32_1, all_32_3, all_48_1,
% 82.35/11.85 | | simplifying with (14), (16), (20), (29), (32) gives:
% 82.35/11.85 | | (39) apply(all_32_1, all_48_1, all_48_1) = 0
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3, all_48_0,
% 82.35/11.85 | | all_48_2, all_48_1, simplifying with (13), (14), (15), (18),
% 82.35/11.85 | | (28), (29), (30), (31), (32), (33) gives:
% 82.35/11.85 | | (40) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 82.35/11.85 | | all_48_0, all_48_1) = v1 & apply(all_32_4, all_48_0, all_48_2) =
% 82.35/11.85 | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.35/11.85 | |
% 82.35/11.85 | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3, all_48_0,
% 82.35/11.85 | | all_48_1, all_48_2, simplifying with (13), (14), (15), (18),
% 82.35/11.85 | | (28), (29), (30), (31), (32), (33) gives:
% 82.35/11.86 | | (41) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 82.35/11.86 | | all_48_0, all_48_1) = v0 & apply(all_32_4, all_48_0, all_48_2) =
% 82.35/11.86 | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.35/11.86 | |
% 82.35/11.86 | | GROUND_INST: instantiating (1) with all_32_4, all_32_2, all_32_3, all_48_0,
% 82.35/11.86 | | simplifying with (13), (14), (15), (18), (30), (33) gives:
% 82.35/11.86 | | (42) ? [v0: $i] : (apply(all_32_4, all_48_0, v0) = 0 & member(v0,
% 82.35/11.86 | | all_32_3) = 0 & $i(v0))
% 82.35/11.86 | |
% 82.35/11.86 | | DELTA: instantiating (42) with fresh symbol all_56_0 gives:
% 82.35/11.86 | | (43) apply(all_32_4, all_48_0, all_56_0) = 0 & member(all_56_0, all_32_3)
% 82.35/11.86 | | = 0 & $i(all_56_0)
% 82.35/11.86 | |
% 82.35/11.86 | | ALPHA: (43) implies:
% 82.35/11.86 | | (44) $i(all_56_0)
% 82.35/11.86 | | (45) member(all_56_0, all_32_3) = 0
% 82.35/11.86 | | (46) apply(all_32_4, all_48_0, all_56_0) = 0
% 82.35/11.86 | |
% 82.35/11.86 | | DELTA: instantiating (38) with fresh symbol all_58_0 gives:
% 82.35/11.86 | | (47) apply(all_32_5, all_48_1, all_58_0) = 0 & member(all_58_0, all_32_2)
% 82.35/11.86 | | = 0 & $i(all_58_0)
% 82.35/11.86 | |
% 82.35/11.86 | | ALPHA: (47) implies:
% 82.35/11.86 | | (48) $i(all_58_0)
% 82.35/11.86 | | (49) member(all_58_0, all_32_2) = 0
% 82.35/11.86 | | (50) apply(all_32_5, all_48_1, all_58_0) = 0
% 82.35/11.86 | |
% 82.35/11.86 | | DELTA: instantiating (36) with fresh symbol all_60_0 gives:
% 82.35/11.86 | | (51) apply(all_32_5, all_48_2, all_60_0) = 0 & member(all_60_0, all_32_2)
% 82.35/11.86 | | = 0 & $i(all_60_0)
% 82.35/11.86 | |
% 82.35/11.86 | | ALPHA: (51) implies:
% 82.35/11.86 | | (52) $i(all_60_0)
% 82.35/11.86 | | (53) member(all_60_0, all_32_2) = 0
% 82.35/11.86 | | (54) apply(all_32_5, all_48_2, all_60_0) = 0
% 82.35/11.86 | |
% 82.35/11.86 | | BETA: splitting (41) gives:
% 82.35/11.86 | |
% 82.35/11.86 | | Case 1:
% 82.35/11.86 | | |
% 82.35/11.86 | | | (55) all_48_1 = all_48_2
% 82.35/11.86 | | |
% 82.35/11.86 | | | REDUCE: (27), (55) imply:
% 82.35/11.86 | | | (56) $false
% 82.35/11.86 | | |
% 82.35/11.86 | | | CLOSE: (56) is inconsistent.
% 82.35/11.86 | | |
% 82.35/11.86 | | Case 2:
% 82.35/11.86 | | |
% 82.35/11.86 | | | (57) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0, all_48_1)
% 82.35/11.86 | | | = v0 & apply(all_32_4, all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) |
% 82.35/11.86 | | | ~ (v0 = 0)))
% 82.35/11.86 | | |
% 82.35/11.86 | | | DELTA: instantiating (57) with fresh symbols all_71_0, all_71_1 gives:
% 82.35/11.86 | | | (58) apply(all_32_4, all_48_0, all_48_1) = all_71_1 & apply(all_32_4,
% 82.35/11.86 | | | all_48_0, all_48_2) = all_71_0 & ( ~ (all_71_0 = 0) | ~
% 82.35/11.86 | | | (all_71_1 = 0))
% 82.35/11.86 | | |
% 82.35/11.86 | | | ALPHA: (58) implies:
% 82.35/11.86 | | | (59) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 82.35/11.86 | | | (60) apply(all_32_4, all_48_0, all_48_1) = all_71_1
% 82.35/11.86 | | | (61) ~ (all_71_0 = 0) | ~ (all_71_1 = 0)
% 82.35/11.86 | | |
% 82.35/11.86 | | | BETA: splitting (40) gives:
% 82.35/11.86 | | |
% 82.35/11.86 | | | Case 1:
% 82.35/11.86 | | | |
% 82.35/11.86 | | | | (62) all_48_1 = all_48_2
% 82.35/11.86 | | | |
% 82.35/11.86 | | | | REDUCE: (27), (62) imply:
% 82.35/11.86 | | | | (63) $false
% 82.35/11.86 | | | |
% 82.35/11.86 | | | | CLOSE: (63) is inconsistent.
% 82.35/11.86 | | | |
% 82.35/11.86 | | | Case 2:
% 82.35/11.86 | | | |
% 82.35/11.86 | | | | (64) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 82.35/11.86 | | | | all_48_1) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0 &
% 82.35/11.86 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.35/11.87 | | | |
% 82.35/11.87 | | | | DELTA: instantiating (64) with fresh symbols all_76_0, all_76_1 gives:
% 82.35/11.87 | | | | (65) apply(all_32_4, all_48_0, all_48_1) = all_76_0 & apply(all_32_4,
% 82.35/11.87 | | | | all_48_0, all_48_2) = all_76_1 & ( ~ (all_76_0 = 0) | ~
% 82.35/11.87 | | | | (all_76_1 = 0))
% 82.35/11.87 | | | |
% 82.35/11.87 | | | | ALPHA: (65) implies:
% 82.35/11.87 | | | | (66) apply(all_32_4, all_48_0, all_48_2) = all_76_1
% 82.35/11.87 | | | | (67) apply(all_32_4, all_48_0, all_48_1) = all_76_0
% 82.35/11.87 | | | |
% 82.35/11.87 | | | | GROUND_INST: instantiating (9) with all_71_0, all_76_1, all_48_2,
% 82.35/11.87 | | | | all_48_0, all_32_4, simplifying with (59), (66) gives:
% 82.35/11.87 | | | | (68) all_76_1 = all_71_0
% 82.35/11.87 | | | |
% 82.35/11.87 | | | | GROUND_INST: instantiating (9) with all_71_1, all_76_0, all_48_1,
% 82.35/11.87 | | | | all_48_0, all_32_4, simplifying with (60), (67) gives:
% 82.35/11.87 | | | | (69) all_76_0 = all_71_1
% 82.35/11.87 | | | |
% 82.35/11.87 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.35/11.87 | | | | all_48_0, all_48_1, all_56_0, simplifying with (13), (14),
% 82.35/11.87 | | | | (15), (18), (29), (30), (32), (33), (44), (45) gives:
% 82.35/11.87 | | | | (70) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.35/11.87 | | | | (apply(all_32_4, all_48_0, all_56_0) = v1 & apply(all_32_4,
% 82.35/11.87 | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.35/11.87 | | | |
% 82.76/11.87 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.87 | | | | all_48_0, all_56_0, all_48_1, simplifying with (13), (14),
% 82.76/11.87 | | | | (15), (18), (29), (30), (32), (33), (44), (45) gives:
% 82.76/11.87 | | | | (71) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.76/11.87 | | | | (apply(all_32_4, all_48_0, all_56_0) = v0 & apply(all_32_4,
% 82.76/11.87 | | | | all_48_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.87 | | | |
% 82.76/11.87 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.87 | | | | all_48_0, all_48_2, all_56_0, simplifying with (13), (14),
% 82.76/11.87 | | | | (15), (18), (28), (30), (31), (33), (44), (45) gives:
% 82.76/11.87 | | | | (72) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.76/11.87 | | | | (apply(all_32_4, all_48_0, all_56_0) = v1 & apply(all_32_4,
% 82.76/11.87 | | | | all_48_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.87 | | | |
% 82.76/11.87 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.87 | | | | all_48_0, all_56_0, all_48_2, simplifying with (13), (14),
% 82.76/11.87 | | | | (15), (18), (28), (30), (31), (33), (44), (45) gives:
% 82.76/11.88 | | | | (73) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_4, all_48_0, all_56_0) = v0 & apply(all_32_4,
% 82.76/11.88 | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (1) with all_32_5, all_32_3, all_32_2,
% 82.76/11.88 | | | | all_56_0, simplifying with (12), (14), (15), (17), (44),
% 82.76/11.88 | | | | (45) gives:
% 82.76/11.88 | | | | (74) ? [v0: $i] : (apply(all_32_5, all_56_0, v0) = 0 & member(v0,
% 82.76/11.88 | | | | all_32_2) = 0 & $i(v0))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.88 | | | | all_58_0, all_56_0, all_48_1, simplifying with (13), (14),
% 82.76/11.88 | | | | (15), (18), (29), (32), (44), (45), (48), (49) gives:
% 82.76/11.88 | | | | (75) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_4, all_58_0, all_56_0) = v0 & apply(all_32_4,
% 82.76/11.88 | | | | all_58_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.88 | | | | all_58_0, all_56_0, all_48_2, simplifying with (13), (14),
% 82.76/11.88 | | | | (15), (18), (28), (31), (44), (45), (48), (49) gives:
% 82.76/11.88 | | | | (76) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_4, all_58_0, all_56_0) = v0 & apply(all_32_4,
% 82.76/11.88 | | | | all_58_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.88 | | | | all_58_0, all_48_1, all_56_0, simplifying with (13), (14),
% 82.76/11.88 | | | | (15), (18), (29), (32), (44), (45), (48), (49) gives:
% 82.76/11.88 | | | | (77) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_4, all_58_0, all_56_0) = v1 & apply(all_32_4,
% 82.76/11.88 | | | | all_58_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.76/11.88 | | | | all_58_0, all_48_2, all_56_0, simplifying with (13), (14),
% 82.76/11.88 | | | | (15), (18), (28), (31), (44), (45), (48), (49) gives:
% 82.76/11.88 | | | | (78) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_4, all_58_0, all_56_0) = v1 & apply(all_32_4,
% 82.76/11.88 | | | | all_58_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (1) with all_32_4, all_32_2, all_32_3,
% 82.76/11.88 | | | | all_58_0, simplifying with (13), (14), (15), (18), (48),
% 82.76/11.88 | | | | (49) gives:
% 82.76/11.88 | | | | (79) ? [v0: $i] : (apply(all_32_4, all_58_0, v0) = 0 & member(v0,
% 82.76/11.88 | | | | all_32_3) = 0 & $i(v0))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3, all_32_2,
% 82.76/11.88 | | | | all_48_1, all_58_0, all_48_0, simplifying with (12), (14),
% 82.76/11.88 | | | | (15), (17), (29), (30), (35), (48), (49) gives:
% 82.76/11.88 | | | | (80) all_58_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 82.76/11.88 | | | | : (apply(all_32_5, all_48_1, all_58_0) = v2 & member(all_48_0,
% 82.76/11.88 | | | | all_32_2) = v1 & member(all_48_1, all_32_3) = v0 & ( ~ (v2 =
% 82.76/11.88 | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.88 | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3, all_32_2,
% 82.76/11.88 | | | | all_48_1, all_48_0, all_58_0, simplifying with (12), (14),
% 82.76/11.88 | | | | (15), (17), (29), (30), (32), (33), (48), (49) gives:
% 82.76/11.88 | | | | (81) all_58_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.76/11.88 | | | | (apply(all_32_5, all_48_1, all_58_0) = v1 & apply(all_32_5,
% 82.76/11.88 | | | | all_48_1, all_48_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.76/11.88 | | | |
% 82.76/11.89 | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3, all_32_2,
% 82.76/11.89 | | | | all_56_0, all_58_0, all_48_0, simplifying with (12), (14),
% 82.76/11.89 | | | | (15), (17), (30), (33), (44), (45), (48), (49) gives:
% 82.76/11.89 | | | | (82) all_58_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.76/11.89 | | | | (apply(all_32_5, all_56_0, all_58_0) = v0 & apply(all_32_5,
% 82.76/11.89 | | | | all_56_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_60_0, all_56_0, all_48_1, simplifying with (13), (14),
% 82.84/11.89 | | | | (15), (18), (29), (32), (44), (45), (52), (53) gives:
% 82.84/11.89 | | | | (83) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.84/11.89 | | | | (apply(all_32_4, all_60_0, all_56_0) = v0 & apply(all_32_4,
% 82.84/11.89 | | | | all_60_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_60_0, all_56_0, all_48_2, simplifying with (13), (14),
% 82.84/11.89 | | | | (15), (18), (28), (31), (44), (45), (52), (53) gives:
% 82.84/11.89 | | | | (84) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.84/11.89 | | | | (apply(all_32_4, all_60_0, all_56_0) = v0 & apply(all_32_4,
% 82.84/11.89 | | | | all_60_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_60_0, all_48_1, all_56_0, simplifying with (13), (14),
% 82.84/11.89 | | | | (15), (18), (29), (32), (44), (45), (52), (53) gives:
% 82.84/11.89 | | | | (85) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.84/11.89 | | | | (apply(all_32_4, all_60_0, all_56_0) = v1 & apply(all_32_4,
% 82.84/11.89 | | | | all_60_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_60_0, all_48_2, all_56_0, simplifying with (13), (14),
% 82.84/11.89 | | | | (15), (18), (28), (31), (44), (45), (52), (53) gives:
% 82.84/11.89 | | | | (86) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.84/11.89 | | | | (apply(all_32_4, all_60_0, all_56_0) = v1 & apply(all_32_4,
% 82.84/11.89 | | | | all_60_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (1) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_60_0, simplifying with (13), (14), (15), (18), (52),
% 82.84/11.89 | | | | (53) gives:
% 82.84/11.89 | | | | (87) ? [v0: $i] : (apply(all_32_4, all_60_0, v0) = 0 & member(v0,
% 82.84/11.89 | | | | all_32_3) = 0 & $i(v0))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3, all_32_2,
% 82.84/11.89 | | | | all_48_2, all_60_0, all_48_0, simplifying with (12), (14),
% 82.84/11.89 | | | | (15), (17), (28), (30), (34), (52), (53) gives:
% 82.84/11.89 | | | | (88) all_60_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 82.84/11.89 | | | | : (apply(all_32_5, all_48_2, all_60_0) = v2 & member(all_48_0,
% 82.84/11.89 | | | | all_32_2) = v1 & member(all_48_2, all_32_3) = v0 & ( ~ (v2 =
% 82.84/11.89 | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3, all_32_2,
% 82.84/11.89 | | | | all_56_0, all_48_0, all_60_0, simplifying with (12), (14),
% 82.84/11.89 | | | | (15), (17), (30), (33), (44), (45), (52), (53) gives:
% 82.84/11.89 | | | | (89) all_60_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.84/11.89 | | | | (apply(all_32_5, all_56_0, all_60_0) = v1 & apply(all_32_5,
% 82.84/11.89 | | | | all_56_0, all_48_0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3, all_32_2,
% 82.84/11.89 | | | | all_48_2, all_58_0, all_60_0, simplifying with (12), (14),
% 82.84/11.89 | | | | (15), (17), (28), (48), (49), (52), (54) gives:
% 82.84/11.89 | | | | (90) all_60_0 = all_58_0 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 82.84/11.89 | | | | : (apply(all_32_5, all_48_2, all_58_0) = v2 & member(all_60_0,
% 82.84/11.89 | | | | all_32_2) = v1 & member(all_48_2, all_32_3) = v0 & ( ~ (v2 =
% 82.84/11.89 | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.89 | | | |
% 82.84/11.89 | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2, all_32_3,
% 82.84/11.89 | | | | all_48_0, all_48_1, all_56_0, simplifying with (13), (14),
% 82.84/11.89 | | | | (15), (18), (29), (30), (32), (44), (46) gives:
% 82.84/11.90 | | | | (91) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 82.84/11.90 | | | | : (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_56_0,
% 82.84/11.90 | | | | all_32_3) = v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 =
% 82.84/11.90 | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2, all_32_3,
% 82.84/11.90 | | | | all_48_0, all_48_2, all_56_0, simplifying with (13), (14),
% 82.84/11.90 | | | | (15), (18), (28), (30), (31), (44), (46) gives:
% 82.84/11.90 | | | | (92) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any]
% 82.84/11.90 | | | | : (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_56_0,
% 82.84/11.90 | | | | all_32_3) = v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 =
% 82.84/11.90 | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | GROUND_INST: instantiating (5) with all_32_4, all_32_5, all_32_3,
% 82.84/11.90 | | | | all_32_2, all_32_3, all_48_2, all_48_2, all_32_1,
% 82.84/11.90 | | | | simplifying with (12), (13), (14), (15), (19), (28), (37)
% 82.84/11.90 | | | | gives:
% 82.84/11.90 | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: int] : ?
% 82.84/11.90 | | | | [v4: int] : ? [v5: int] : ($i(v2) & ((v5 = 0 & v4 = 0 & v3 = 0
% 82.84/11.90 | | | | & apply(all_32_4, v2, all_48_2) = 0 & apply(all_32_5,
% 82.84/11.90 | | | | all_48_2, v2) = 0 & member(v2, all_32_2) = 0) |
% 82.84/11.90 | | | | (member(all_48_2, all_32_3) = v1 & member(all_48_2,
% 82.84/11.90 | | | | all_32_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | GROUND_INST: instantiating (5) with all_32_4, all_32_5, all_32_3,
% 82.84/11.90 | | | | all_32_2, all_32_3, all_48_1, all_48_1, all_32_1,
% 82.84/11.90 | | | | simplifying with (12), (13), (14), (15), (19), (29), (39)
% 82.84/11.90 | | | | gives:
% 82.84/11.90 | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: int] : ?
% 82.84/11.90 | | | | [v4: int] : ? [v5: int] : ($i(v2) & ((v5 = 0 & v4 = 0 & v3 = 0
% 82.84/11.90 | | | | & apply(all_32_4, v2, all_48_1) = 0 & apply(all_32_5,
% 82.84/11.90 | | | | all_48_1, v2) = 0 & member(v2, all_32_2) = 0) |
% 82.84/11.90 | | | | (member(all_48_1, all_32_3) = v1 & member(all_48_1,
% 82.84/11.90 | | | | all_32_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | DELTA: instantiating (79) with fresh symbol all_88_0 gives:
% 82.84/11.90 | | | | (95) apply(all_32_4, all_58_0, all_88_0) = 0 & member(all_88_0,
% 82.84/11.90 | | | | all_32_3) = 0 & $i(all_88_0)
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | ALPHA: (95) implies:
% 82.84/11.90 | | | | (96) $i(all_88_0)
% 82.84/11.90 | | | | (97) member(all_88_0, all_32_3) = 0
% 82.84/11.90 | | | | (98) apply(all_32_4, all_58_0, all_88_0) = 0
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | DELTA: instantiating (87) with fresh symbol all_90_0 gives:
% 82.84/11.90 | | | | (99) apply(all_32_4, all_60_0, all_90_0) = 0 & member(all_90_0,
% 82.84/11.90 | | | | all_32_3) = 0 & $i(all_90_0)
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | ALPHA: (99) implies:
% 82.84/11.90 | | | | (100) $i(all_90_0)
% 82.84/11.90 | | | | (101) member(all_90_0, all_32_3) = 0
% 82.84/11.90 | | | | (102) apply(all_32_4, all_60_0, all_90_0) = 0
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | DELTA: instantiating (74) with fresh symbol all_92_0 gives:
% 82.84/11.90 | | | | (103) apply(all_32_5, all_56_0, all_92_0) = 0 & member(all_92_0,
% 82.84/11.90 | | | | all_32_2) = 0 & $i(all_92_0)
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | ALPHA: (103) implies:
% 82.84/11.90 | | | | (104) $i(all_92_0)
% 82.84/11.90 | | | | (105) member(all_92_0, all_32_2) = 0
% 82.84/11.90 | | | | (106) apply(all_32_5, all_56_0, all_92_0) = 0
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | DELTA: instantiating (94) with fresh symbols all_94_0, all_94_1,
% 82.84/11.90 | | | | all_94_2, all_94_3, all_94_4, all_94_5 gives:
% 82.84/11.90 | | | | (107) $i(all_94_3) & ((all_94_0 = 0 & all_94_1 = 0 & all_94_2 = 0 &
% 82.84/11.90 | | | | apply(all_32_4, all_94_3, all_48_1) = 0 & apply(all_32_5,
% 82.84/11.90 | | | | all_48_1, all_94_3) = 0 & member(all_94_3, all_32_2) = 0)
% 82.84/11.90 | | | | | (member(all_48_1, all_32_3) = all_94_4 & member(all_48_1,
% 82.84/11.90 | | | | all_32_3) = all_94_5 & ( ~ (all_94_4 = 0) | ~ (all_94_5
% 82.84/11.90 | | | | = 0))))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | ALPHA: (107) implies:
% 82.84/11.90 | | | | (108) $i(all_94_3)
% 82.84/11.90 | | | | (109) (all_94_0 = 0 & all_94_1 = 0 & all_94_2 = 0 & apply(all_32_4,
% 82.84/11.90 | | | | all_94_3, all_48_1) = 0 & apply(all_32_5, all_48_1,
% 82.84/11.90 | | | | all_94_3) = 0 & member(all_94_3, all_32_2) = 0) |
% 82.84/11.90 | | | | (member(all_48_1, all_32_3) = all_94_4 & member(all_48_1,
% 82.84/11.90 | | | | all_32_3) = all_94_5 & ( ~ (all_94_4 = 0) | ~ (all_94_5 =
% 82.84/11.90 | | | | 0)))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | DELTA: instantiating (93) with fresh symbols all_96_0, all_96_1,
% 82.84/11.90 | | | | all_96_2, all_96_3, all_96_4, all_96_5 gives:
% 82.84/11.90 | | | | (110) $i(all_96_3) & ((all_96_0 = 0 & all_96_1 = 0 & all_96_2 = 0 &
% 82.84/11.90 | | | | apply(all_32_4, all_96_3, all_48_2) = 0 & apply(all_32_5,
% 82.84/11.90 | | | | all_48_2, all_96_3) = 0 & member(all_96_3, all_32_2) = 0)
% 82.84/11.90 | | | | | (member(all_48_2, all_32_3) = all_96_4 & member(all_48_2,
% 82.84/11.90 | | | | all_32_3) = all_96_5 & ( ~ (all_96_4 = 0) | ~ (all_96_5
% 82.84/11.90 | | | | = 0))))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | ALPHA: (110) implies:
% 82.84/11.90 | | | | (111) $i(all_96_3)
% 82.84/11.90 | | | | (112) (all_96_0 = 0 & all_96_1 = 0 & all_96_2 = 0 & apply(all_32_4,
% 82.84/11.90 | | | | all_96_3, all_48_2) = 0 & apply(all_32_5, all_48_2,
% 82.84/11.90 | | | | all_96_3) = 0 & member(all_96_3, all_32_2) = 0) |
% 82.84/11.90 | | | | (member(all_48_2, all_32_3) = all_96_4 & member(all_48_2,
% 82.84/11.90 | | | | all_32_3) = all_96_5 & ( ~ (all_96_4 = 0) | ~ (all_96_5 =
% 82.84/11.90 | | | | 0)))
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | BETA: splitting (80) gives:
% 82.84/11.90 | | | |
% 82.84/11.90 | | | | Case 1:
% 82.84/11.90 | | | | |
% 82.84/11.90 | | | | | (113) all_58_0 = all_48_0
% 82.84/11.90 | | | | |
% 82.84/11.90 | | | | | REDUCE: (98), (113) imply:
% 82.84/11.90 | | | | | (114) apply(all_32_4, all_48_0, all_88_0) = 0
% 82.84/11.90 | | | | |
% 82.84/11.90 | | | | | BETA: splitting (112) gives:
% 82.84/11.90 | | | | |
% 82.84/11.90 | | | | | Case 1:
% 82.84/11.90 | | | | | |
% 82.84/11.90 | | | | | | (115) all_96_0 = 0 & all_96_1 = 0 & all_96_2 = 0 &
% 82.84/11.90 | | | | | | apply(all_32_4, all_96_3, all_48_2) = 0 & apply(all_32_5,
% 82.84/11.90 | | | | | | all_48_2, all_96_3) = 0 & member(all_96_3, all_32_2) = 0
% 82.84/11.90 | | | | | |
% 82.84/11.90 | | | | | | ALPHA: (115) implies:
% 82.84/11.90 | | | | | | (116) member(all_96_3, all_32_2) = 0
% 82.84/11.90 | | | | | | (117) apply(all_32_5, all_48_2, all_96_3) = 0
% 82.84/11.90 | | | | | | (118) apply(all_32_4, all_96_3, all_48_2) = 0
% 82.84/11.90 | | | | | |
% 82.84/11.91 | | | | | | BETA: splitting (109) gives:
% 82.84/11.91 | | | | | |
% 82.84/11.91 | | | | | | Case 1:
% 82.84/11.91 | | | | | | |
% 82.84/11.91 | | | | | | | (119) all_94_0 = 0 & all_94_1 = 0 & all_94_2 = 0 &
% 82.84/11.91 | | | | | | | apply(all_32_4, all_94_3, all_48_1) = 0 & apply(all_32_5,
% 82.84/11.91 | | | | | | | all_48_1, all_94_3) = 0 & member(all_94_3, all_32_2) =
% 82.84/11.91 | | | | | | | 0
% 82.84/11.91 | | | | | | |
% 82.84/11.91 | | | | | | | ALPHA: (119) implies:
% 82.84/11.91 | | | | | | | (120) member(all_94_3, all_32_2) = 0
% 82.84/11.91 | | | | | | | (121) apply(all_32_5, all_48_1, all_94_3) = 0
% 82.84/11.91 | | | | | | | (122) apply(all_32_4, all_94_3, all_48_1) = 0
% 82.84/11.91 | | | | | | |
% 82.84/11.91 | | | | | | | BETA: splitting (90) gives:
% 82.84/11.91 | | | | | | |
% 82.84/11.91 | | | | | | | Case 1:
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | (123) all_60_0 = all_58_0
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | COMBINE_EQS: (113), (123) imply:
% 82.84/11.91 | | | | | | | | (124) all_60_0 = all_48_0
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | REDUCE: (102), (124) imply:
% 82.84/11.91 | | | | | | | | (125) apply(all_32_4, all_48_0, all_90_0) = 0
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_56_0, all_88_0, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (30), (33), (44),
% 82.84/11.91 | | | | | | | | (45), (96), (97) gives:
% 82.84/11.91 | | | | | | | | (126) all_88_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 82.84/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_88_0) = v1 &
% 82.84/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_56_0) = v0 & ( ~ (v1 =
% 82.84/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_48_1, all_88_0, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (29), (30), (32),
% 82.84/11.91 | | | | | | | | (33), (96), (97) gives:
% 82.84/11.91 | | | | | | | | (127) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.84/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_88_0) = v1 &
% 82.84/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = v0 & ( ~ (v1 =
% 82.84/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_88_0, all_48_2, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (28), (30), (31),
% 82.84/11.91 | | | | | | | | (33), (96), (97) gives:
% 82.84/11.91 | | | | | | | | (128) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.84/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_88_0) = v0 &
% 82.84/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = v1 & ( ~ (v1 =
% 82.84/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_48_1, all_90_0, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (29), (30), (32),
% 82.84/11.91 | | | | | | | | (33), (100), (101) gives:
% 82.84/11.91 | | | | | | | | (129) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.84/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_90_0) = v1 &
% 82.84/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = v0 & ( ~ (v1 =
% 82.84/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_90_0, all_48_1, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (29), (30), (32),
% 82.84/11.91 | | | | | | | | (33), (100), (101) gives:
% 82.84/11.91 | | | | | | | | (130) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 82.84/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_90_0) = v0 &
% 82.84/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = v1 & ( ~ (v1 =
% 82.84/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.84/11.91 | | | | | | | |
% 82.84/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.84/11.91 | | | | | | | | all_32_3, all_48_0, all_48_2, all_90_0, simplifying
% 82.84/11.91 | | | | | | | | with (13), (14), (15), (18), (28), (30), (31),
% 82.84/11.91 | | | | | | | | (33), (100), (101) gives:
% 82.97/11.91 | | | | | | | | (131) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.97/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_90_0) = v1 &
% 82.97/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = v0 & ( ~ (v1 =
% 82.97/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.91 | | | | | | | |
% 82.97/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.97/11.91 | | | | | | | | all_32_3, all_48_0, all_90_0, all_48_2, simplifying
% 82.97/11.91 | | | | | | | | with (13), (14), (15), (18), (28), (30), (31),
% 82.97/11.91 | | | | | | | | (33), (100), (101) gives:
% 82.97/11.91 | | | | | | | | (132) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 82.97/11.91 | | | | | | | | (apply(all_32_4, all_48_0, all_90_0) = v0 &
% 82.97/11.91 | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = v1 & ( ~ (v1 =
% 82.97/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.91 | | | | | | | |
% 82.97/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 82.97/11.91 | | | | | | | | all_32_3, all_92_0, all_56_0, all_88_0, simplifying
% 82.97/11.91 | | | | | | | | with (13), (14), (15), (18), (44), (45), (96),
% 82.97/11.91 | | | | | | | | (97), (104), (105) gives:
% 82.97/11.91 | | | | | | | | (133) all_88_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.91 | | | | | | | | (apply(all_32_4, all_92_0, all_88_0) = v1 &
% 82.97/11.91 | | | | | | | | apply(all_32_4, all_92_0, all_56_0) = v0 & ( ~ (v1 =
% 82.97/11.91 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.91 | | | | | | | |
% 82.97/11.91 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.91 | | | | | | | | all_32_2, all_56_0, all_48_0, all_92_0, simplifying
% 82.97/11.91 | | | | | | | | with (12), (14), (15), (17), (30), (33), (44),
% 82.97/11.91 | | | | | | | | (45), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (134) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_56_0, all_92_0) = v1 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_56_0, all_48_0) = v0 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_56_0, all_92_0, all_48_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (30), (33), (44),
% 82.97/11.92 | | | | | | | | (45), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (135) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_56_0, all_92_0) = v0 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_56_0, all_48_0) = v1 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_48_1, all_48_0, all_92_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (29), (30), (32),
% 82.97/11.92 | | | | | | | | (33), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (136) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_48_1, all_92_0) = v1 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = v0 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_48_1, all_92_0, all_48_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (29), (30), (32),
% 82.97/11.92 | | | | | | | | (33), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (137) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_48_1, all_92_0) = v0 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = v1 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_48_2, all_48_0, all_92_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (28), (30), (31),
% 82.97/11.92 | | | | | | | | (33), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (138) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_48_2, all_92_0) = v1 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = v0 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_48_2, all_92_0, all_48_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (28), (30), (31),
% 82.97/11.92 | | | | | | | | (33), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (139) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_48_2, all_92_0) = v0 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = v1 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_90_0, all_48_0, all_92_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (30), (33), (100),
% 82.97/11.92 | | | | | | | | (101), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (140) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_90_0, all_92_0) = v1 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = v0 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_90_0, all_92_0, all_48_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (30), (33), (100),
% 82.97/11.92 | | | | | | | | (101), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (141) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_90_0, all_92_0) = v0 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = v1 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_88_0, all_48_0, all_92_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (30), (33), (96),
% 82.97/11.92 | | | | | | | | (97), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (142) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_88_0, all_92_0) = v1 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = v0 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 82.97/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 82.97/11.92 | | | | | | | | all_32_2, all_88_0, all_92_0, all_48_0, simplifying
% 82.97/11.92 | | | | | | | | with (12), (14), (15), (17), (30), (33), (96),
% 82.97/11.92 | | | | | | | | (97), (104), (105) gives:
% 82.97/11.92 | | | | | | | | (143) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 82.97/11.92 | | | | | | | | (apply(all_32_5, all_88_0, all_92_0) = v0 &
% 82.97/11.92 | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = v1 & ( ~ (v1 =
% 82.97/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 82.97/11.92 | | | | | | | |
% 83.02/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.92 | | | | | | | | all_32_3, all_94_3, all_48_1, all_56_0, simplifying
% 83.02/11.92 | | | | | | | | with (13), (14), (15), (18), (29), (32), (44),
% 83.02/11.92 | | | | | | | | (45), (108), (120) gives:
% 83.02/11.92 | | | | | | | | (144) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.92 | | | | | | | | (apply(all_32_4, all_94_3, all_56_0) = v1 &
% 83.02/11.92 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v0 & ( ~ (v1 =
% 83.02/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.92 | | | | | | | |
% 83.02/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.92 | | | | | | | | all_32_3, all_94_3, all_48_2, all_56_0, simplifying
% 83.02/11.92 | | | | | | | | with (13), (14), (15), (18), (28), (31), (44),
% 83.02/11.92 | | | | | | | | (45), (108), (120) gives:
% 83.02/11.92 | | | | | | | | (145) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.92 | | | | | | | | (apply(all_32_4, all_94_3, all_56_0) = v1 &
% 83.02/11.92 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.92 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.92 | | | | | | | |
% 83.02/11.92 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.92 | | | | | | | | all_32_3, all_94_3, all_88_0, all_56_0, simplifying
% 83.02/11.92 | | | | | | | | with (13), (14), (15), (18), (44), (45), (96),
% 83.02/11.92 | | | | | | | | (97), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (146) all_88_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_88_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_56_0) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_56_0, all_48_1, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (29), (32), (44),
% 83.02/11.93 | | | | | | | | (45), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (147) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_56_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_2, all_48_1, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (29), (31),
% 83.02/11.93 | | | | | | | | (32), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (148) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_48_1) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_90_0, all_48_1, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (29), (32), (100),
% 83.02/11.93 | | | | | | | | (101), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (149) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_90_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_88_0, all_48_1, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (29), (32), (96),
% 83.02/11.93 | | | | | | | | (97), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (150) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_88_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_56_0, all_48_2, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (31), (44),
% 83.02/11.93 | | | | | | | | (45), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (151) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_56_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_1, all_48_2, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (29), (31),
% 83.02/11.93 | | | | | | | | (32), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (152) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_48_1) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_90_0, all_48_2, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (31), (100),
% 83.02/11.93 | | | | | | | | (101), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (153) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_90_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_88_0, all_48_2, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (31), (96),
% 83.02/11.93 | | | | | | | | (97), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (154) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_88_0) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_1, all_90_0, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (29), (32), (100),
% 83.02/11.93 | | | | | | | | (101), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (155) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_90_0) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_2, all_90_0, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (31), (100),
% 83.02/11.93 | | | | | | | | (101), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (156) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_90_0) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_1, all_88_0, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (29), (32), (96),
% 83.02/11.93 | | | | | | | | (97), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (157) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_88_0) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.93 | | | | | | | | all_32_3, all_94_3, all_48_2, all_88_0, simplifying
% 83.02/11.93 | | | | | | | | with (13), (14), (15), (18), (28), (31), (96),
% 83.02/11.93 | | | | | | | | (97), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (158) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_4, all_94_3, all_88_0) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.93 | | | | | | | | all_32_2, all_48_1, all_94_3, all_48_0, simplifying
% 83.02/11.93 | | | | | | | | with (12), (14), (15), (17), (29), (30), (32),
% 83.02/11.93 | | | | | | | | (33), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (159) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.02/11.93 | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = v1 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.93 | | | | | | | |
% 83.02/11.93 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.93 | | | | | | | | all_32_2, all_48_2, all_48_0, all_94_3, simplifying
% 83.02/11.93 | | | | | | | | with (12), (14), (15), (17), (28), (30), (31),
% 83.02/11.93 | | | | | | | | (33), (108), (120) gives:
% 83.02/11.93 | | | | | | | | (160) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.93 | | | | | | | | (apply(all_32_5, all_48_2, all_94_3) = v1 &
% 83.02/11.93 | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = v0 & ( ~ (v1 =
% 83.02/11.93 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_48_2, all_94_3, all_48_0, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (28), (30), (31),
% 83.02/11.94 | | | | | | | | (33), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (161) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_48_2, all_94_3) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_56_0, all_92_0, all_94_3, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (44), (45), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (162) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_56_0, all_94_3) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_56_0, all_94_3, all_92_0, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (44), (45), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (163) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_56_0, all_94_3) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_48_1, all_92_0, all_94_3, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (29), (32), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (164) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_48_1, all_94_3) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_48_1, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_48_1, all_94_3, all_92_0, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (29), (32), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (165) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_48_1, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_90_0, all_92_0, all_94_3, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (100), (101), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (166) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_90_0, all_94_3) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_90_0, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_90_0, all_94_3, all_92_0, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (100), (101), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (167) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_90_0, all_94_3) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_90_0, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_88_0, all_92_0, all_94_3, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (96), (97), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (168) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_88_0, all_94_3) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_88_0, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.94 | | | | | | | | all_32_2, all_88_0, all_94_3, all_92_0, simplifying
% 83.02/11.94 | | | | | | | | with (12), (14), (15), (17), (96), (97), (104),
% 83.02/11.94 | | | | | | | | (105), (108), (120) gives:
% 83.02/11.94 | | | | | | | | (169) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_5, all_88_0, all_94_3) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_5, all_88_0, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_48_2, all_56_0, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (28), (31), (44),
% 83.02/11.94 | | | | | | | | (45), (111), (116) gives:
% 83.02/11.94 | | | | | | | | (170) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_4, all_96_3, all_56_0) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_90_0, all_56_0, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (44), (45), (100),
% 83.02/11.94 | | | | | | | | (101), (111), (116) gives:
% 83.02/11.94 | | | | | | | | (171) all_90_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_4, all_96_3, all_90_0) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_88_0, all_56_0, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (44), (45), (96),
% 83.02/11.94 | | | | | | | | (97), (111), (116) gives:
% 83.02/11.94 | | | | | | | | (172) all_88_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_4, all_96_3, all_88_0) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_48_2, all_48_1, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (28), (29), (31),
% 83.02/11.94 | | | | | | | | (32), (111), (116) gives:
% 83.02/11.94 | | | | | | | | (173) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_4, all_96_3, all_48_1) = v1 &
% 83.02/11.94 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_56_0, all_48_2, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (28), (31), (44),
% 83.02/11.94 | | | | | | | | (45), (111), (116) gives:
% 83.02/11.94 | | | | | | | | (174) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.94 | | | | | | | | (apply(all_32_4, all_96_3, all_56_0) = v0 &
% 83.02/11.94 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.94 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.94 | | | | | | | |
% 83.02/11.94 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.94 | | | | | | | | all_32_3, all_96_3, all_48_1, all_48_2, simplifying
% 83.02/11.94 | | | | | | | | with (13), (14), (15), (18), (28), (29), (31),
% 83.02/11.94 | | | | | | | | (32), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (175) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_48_1) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_90_0, all_48_2, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (28), (31), (100),
% 83.02/11.95 | | | | | | | | (101), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (176) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_90_0) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_88_0, all_48_2, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (28), (31), (96),
% 83.02/11.95 | | | | | | | | (97), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (177) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_88_0) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_56_0, all_90_0, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (44), (45), (100),
% 83.02/11.95 | | | | | | | | (101), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (178) all_90_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_90_0) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_48_2, all_90_0, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (28), (31), (100),
% 83.02/11.95 | | | | | | | | (101), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (179) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_90_0) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_56_0, all_88_0, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (44), (45), (96),
% 83.02/11.95 | | | | | | | | (97), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (180) all_88_0 = all_56_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_88_0) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_4, all_32_2,
% 83.02/11.95 | | | | | | | | all_32_3, all_96_3, all_48_2, all_88_0, simplifying
% 83.02/11.95 | | | | | | | | with (13), (14), (15), (18), (28), (31), (96),
% 83.02/11.95 | | | | | | | | (97), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (181) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_4, all_96_3, all_88_0) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_48_2, all_96_3, all_48_0, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (28), (30), (31),
% 83.02/11.95 | | | | | | | | (33), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (182) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_48_2, all_96_3) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_88_0, all_96_3, all_48_0, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (30), (33), (96),
% 83.02/11.95 | | | | | | | | (97), (111), (116) gives:
% 83.02/11.95 | | | | | | | | (183) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_88_0, all_96_3) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_56_0, all_94_3, all_96_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (44), (45), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (184) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_56_0, all_96_3) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_56_0, all_94_3) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_56_0, all_96_3, all_94_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (44), (45), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (185) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_56_0, all_96_3) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_56_0, all_94_3) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_48_1, all_94_3, all_96_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (29), (32), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (186) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_48_1, all_96_3) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_48_1, all_94_3) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_48_1, all_96_3, all_94_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (29), (32), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (187) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_48_1, all_96_3) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_48_1, all_94_3) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_48_2, all_94_3, all_96_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (28), (31), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (188) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_48_2, all_96_3) = v1 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = v0 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_48_2, all_96_3, all_94_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (28), (31), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.95 | | | | | | | | (189) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.95 | | | | | | | | (apply(all_32_5, all_48_2, all_96_3) = v0 &
% 83.02/11.95 | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = v1 & ( ~ (v1 =
% 83.02/11.95 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.95 | | | | | | | |
% 83.02/11.95 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.95 | | | | | | | | all_32_2, all_90_0, all_94_3, all_96_3, simplifying
% 83.02/11.95 | | | | | | | | with (12), (14), (15), (17), (100), (101), (108),
% 83.02/11.95 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.96 | | | | | | | | (190) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_90_0, all_96_3) = v1 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_90_0, all_94_3) = v0 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_90_0, all_96_3, all_94_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (100), (101), (108),
% 83.02/11.96 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.96 | | | | | | | | (191) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_90_0, all_96_3) = v0 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_90_0, all_94_3) = v1 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_88_0, all_94_3, all_96_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (96), (97), (108),
% 83.02/11.96 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.96 | | | | | | | | (192) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_88_0, all_96_3) = v1 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_88_0, all_94_3) = v0 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_88_0, all_96_3, all_94_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (96), (97), (108),
% 83.02/11.96 | | | | | | | | (111), (116), (120) gives:
% 83.02/11.96 | | | | | | | | (193) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_88_0, all_96_3) = v0 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_88_0, all_94_3) = v1 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_56_0, all_92_0, all_96_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (44), (45), (104),
% 83.02/11.96 | | | | | | | | (105), (111), (116) gives:
% 83.02/11.96 | | | | | | | | (194) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_56_0, all_96_3) = v1 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_56_0, all_96_3, all_92_0, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (44), (45), (104),
% 83.02/11.96 | | | | | | | | (105), (111), (116) gives:
% 83.02/11.96 | | | | | | | | (195) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_56_0, all_96_3) = v0 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_2, all_92_0, all_96_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (28), (31), (104),
% 83.02/11.96 | | | | | | | | (105), (111), (116) gives:
% 83.02/11.96 | | | | | | | | (196) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_48_2, all_96_3) = v1 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_48_2, all_92_0) = v0 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_88_0, all_96_3, all_92_0, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (96), (97), (104),
% 83.02/11.96 | | | | | | | | (105), (111), (116) gives:
% 83.02/11.96 | | | | | | | | (197) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] :
% 83.02/11.96 | | | | | | | | (apply(all_32_5, all_88_0, all_96_3) = v0 &
% 83.02/11.96 | | | | | | | | apply(all_32_5, all_88_0, all_92_0) = v1 & ( ~ (v1 =
% 83.02/11.96 | | | | | | | | 0) | ~ (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_2, all_48_0, all_96_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (28), (30), (33),
% 83.02/11.96 | | | | | | | | (111), (117) gives:
% 83.02/11.96 | | | | | | | | (198) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_48_2, all_48_0) = v2 &
% 83.02/11.96 | | | | | | | | member(all_96_3, all_32_2) = v1 & member(all_48_2,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_2, all_94_3, all_96_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (28), (108), (111),
% 83.02/11.96 | | | | | | | | (117), (120) gives:
% 83.02/11.96 | | | | | | | | (199) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_48_2, all_94_3) = v2 &
% 83.02/11.96 | | | | | | | | member(all_96_3, all_32_2) = v1 & member(all_48_2,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (4) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_1, all_94_3, all_48_0, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (29), (30), (35),
% 83.02/11.96 | | | | | | | | (108), (121) gives:
% 83.02/11.96 | | | | | | | | (200) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (member(all_94_3, all_32_2) = v1 &
% 83.02/11.96 | | | | | | | | member(all_48_0, all_32_2) = v2 & member(all_48_1,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_1, all_48_0, all_94_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (29), (30), (33),
% 83.02/11.96 | | | | | | | | (108), (121) gives:
% 83.02/11.96 | | | | | | | | (201) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_48_1, all_48_0) = v2 &
% 83.02/11.96 | | | | | | | | member(all_94_3, all_32_2) = v1 & member(all_48_1,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_1, all_96_3, all_94_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (29), (108), (111),
% 83.02/11.96 | | | | | | | | (116), (121) gives:
% 83.02/11.96 | | | | | | | | (202) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_48_1, all_96_3) = v2 &
% 83.02/11.96 | | | | | | | | member(all_94_3, all_32_2) = v1 & member(all_48_1,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_48_1, all_92_0, all_94_3, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (29), (104), (105),
% 83.02/11.96 | | | | | | | | (108), (121) gives:
% 83.02/11.96 | | | | | | | | (203) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_48_1, all_92_0) = v2 &
% 83.02/11.96 | | | | | | | | member(all_94_3, all_32_2) = v1 & member(all_48_1,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.96 | | | | | | | |
% 83.02/11.96 | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 83.02/11.96 | | | | | | | | all_32_2, all_56_0, all_48_0, all_92_0, simplifying
% 83.02/11.96 | | | | | | | | with (12), (14), (15), (17), (30), (33), (44),
% 83.02/11.96 | | | | | | | | (104), (106) gives:
% 83.02/11.96 | | | | | | | | (204) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.96 | | | | | | | | [v2: any] : (apply(all_32_5, all_56_0, all_48_0) = v2 &
% 83.02/11.96 | | | | | | | | member(all_92_0, all_32_2) = v1 & member(all_56_0,
% 83.02/11.96 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.96 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (4) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_48_0, all_56_0, all_90_0, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (30), (44), (46),
% 83.02/11.97 | | | | | | | | (100), (125) gives:
% 83.02/11.97 | | | | | | | | (205) all_90_0 = all_56_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (member(all_90_0, all_32_3) = v2 &
% 83.02/11.97 | | | | | | | | member(all_56_0, all_32_3) = v1 & member(all_48_0,
% 83.02/11.97 | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_48_0, all_56_0, all_90_0, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (30), (44), (45),
% 83.02/11.97 | | | | | | | | (100), (125) gives:
% 83.02/11.97 | | | | | | | | (206) all_90_0 = all_56_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_48_0, all_56_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 83.02/11.97 | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_48_0, all_48_1, all_90_0, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (29), (30), (32),
% 83.02/11.97 | | | | | | | | (100), (125) gives:
% 83.02/11.97 | | | | | | | | (207) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_48_0, all_48_1) = v2 &
% 83.02/11.97 | | | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 83.02/11.97 | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_48_0, all_48_2, all_90_0, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (28), (30), (31),
% 83.02/11.97 | | | | | | | | (100), (125) gives:
% 83.02/11.97 | | | | | | | | (208) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_48_0, all_48_2) = v2 &
% 83.02/11.97 | | | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 83.02/11.97 | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_48_0, all_88_0, all_90_0, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (30), (96), (97),
% 83.02/11.97 | | | | | | | | (100), (125) gives:
% 83.02/11.97 | | | | | | | | (209) all_90_0 = all_88_0 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_48_0, all_88_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 83.02/11.97 | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_94_3, all_88_0, all_48_1, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (29), (96), (97),
% 83.02/11.97 | | | | | | | | (108), (122) gives:
% 83.02/11.97 | | | | | | | | (210) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_94_3, all_88_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_94_3, all_32_2) = v0 & member(all_48_1,
% 83.02/11.97 | | | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_96_3, all_56_0, all_48_2, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (28), (44), (45),
% 83.02/11.97 | | | | | | | | (111), (118) gives:
% 83.02/11.97 | | | | | | | | (211) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_96_3, all_56_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_96_3, all_32_2) = v0 & member(all_48_2,
% 83.02/11.97 | | | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_96_3, all_48_1, all_48_2, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (28), (29), (32),
% 83.02/11.97 | | | | | | | | (111), (118) gives:
% 83.02/11.97 | | | | | | | | (212) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_96_3, all_48_1) = v2 &
% 83.02/11.97 | | | | | | | | member(all_96_3, all_32_2) = v0 & member(all_48_2,
% 83.02/11.97 | | | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_96_3, all_90_0, all_48_2, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (28), (100), (101),
% 83.02/11.97 | | | | | | | | (111), (118) gives:
% 83.02/11.97 | | | | | | | | (213) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_96_3, all_90_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_96_3, all_32_2) = v0 & member(all_48_2,
% 83.02/11.97 | | | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | GROUND_INST: instantiating (3) with all_32_4, all_32_2,
% 83.02/11.97 | | | | | | | | all_32_3, all_96_3, all_88_0, all_48_2, simplifying
% 83.02/11.97 | | | | | | | | with (13), (14), (15), (18), (28), (96), (97),
% 83.02/11.97 | | | | | | | | (111), (118) gives:
% 83.02/11.97 | | | | | | | | (214) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ?
% 83.02/11.97 | | | | | | | | [v2: any] : (apply(all_32_4, all_96_3, all_88_0) = v2 &
% 83.02/11.97 | | | | | | | | member(all_96_3, all_32_2) = v0 & member(all_48_2,
% 83.02/11.97 | | | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/11.97 | | | | | | | | (v0 = 0)))
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | BETA: splitting (209) gives:
% 83.02/11.97 | | | | | | | |
% 83.02/11.97 | | | | | | | | Case 1:
% 83.02/11.97 | | | | | | | | |
% 83.02/11.97 | | | | | | | | | (215) all_90_0 = all_88_0
% 83.02/11.97 | | | | | | | | |
% 83.02/11.97 | | | | | | | | | BETA: splitting (200) gives:
% 83.02/11.97 | | | | | | | | |
% 83.02/11.97 | | | | | | | | | Case 1:
% 83.02/11.97 | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | (216) all_94_3 = all_48_0
% 83.02/11.97 | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | REDUCE: (122), (216) imply:
% 83.02/11.97 | | | | | | | | | | (217) apply(all_32_4, all_48_0, all_48_1) = 0
% 83.02/11.97 | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | BETA: splitting (206) gives:
% 83.02/11.97 | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | Case 1:
% 83.02/11.97 | | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | | (218) all_90_0 = all_56_0
% 83.02/11.97 | | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | | COMBINE_EQS: (215), (218) imply:
% 83.02/11.97 | | | | | | | | | | | (219) all_88_0 = all_56_0
% 83.02/11.97 | | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (60), (61),
% 83.02/11.97 | | | | | | | | | | | (70), (71), (72), (73), (75), (76), (77), (78),
% 83.02/11.97 | | | | | | | | | | | (83), (84), (85), (86), (91), (92), (106), (113),
% 83.02/11.97 | | | | | | | | | | | (117), (118), (124), (127), (128), (129), (130),
% 83.02/11.97 | | | | | | | | | | | (131), (132), (134), (135), (136), (137), (140),
% 83.02/11.97 | | | | | | | | | | | (141), (142), (143), (144), (145), (147), (149),
% 83.02/11.97 | | | | | | | | | | | (150), (151), (153), (154), (155), (156), (157),
% 83.02/11.97 | | | | | | | | | | | (158), (162), (163), (164), (165), (166), (167),
% 83.02/11.97 | | | | | | | | | | | (168), (169), (174), (183), (184), (185), (186),
% 83.02/11.97 | | | | | | | | | | | (187), (188), (189), (190), (191), (192), (193),
% 83.02/11.97 | | | | | | | | | | | (196), (204), (207), (208), (210), (212), (216),
% 83.02/11.97 | | | | | | | | | | | (217), (218), (219) are inconsistent by sub-proof
% 83.02/11.97 | | | | | | | | | | | #6.
% 83.02/11.97 | | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | Case 2:
% 83.02/11.97 | | | | | | | | | | |
% 83.02/11.97 | | | | | | | | | | | (220) ~ (all_90_0 = all_56_0)
% 83.02/11.98 | | | | | | | | | | | (221) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/11.98 | | | | | | | | | | | (apply(all_32_4, all_48_0, all_56_0) = v2 &
% 83.02/11.98 | | | | | | | | | | | member(all_90_0, all_32_3) = v1 &
% 83.02/11.98 | | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 83.02/11.98 | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | DELTA: instantiating (221) with fresh symbols all_144_0,
% 83.02/11.98 | | | | | | | | | | | all_144_1, all_144_2 gives:
% 83.02/11.98 | | | | | | | | | | | (222) apply(all_32_4, all_48_0, all_56_0) = all_144_0 &
% 83.02/11.98 | | | | | | | | | | | member(all_90_0, all_32_3) = all_144_1 &
% 83.02/11.98 | | | | | | | | | | | member(all_48_0, all_32_2) = all_144_2 & ( ~
% 83.02/11.98 | | | | | | | | | | | (all_144_0 = 0) | ~ (all_144_1 = 0) | ~
% 83.02/11.98 | | | | | | | | | | | (all_144_2 = 0))
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | ALPHA: (222) implies:
% 83.02/11.98 | | | | | | | | | | | (223) member(all_48_0, all_32_2) = all_144_2
% 83.02/11.98 | | | | | | | | | | | (224) member(all_90_0, all_32_3) = all_144_1
% 83.02/11.98 | | | | | | | | | | | (225) apply(all_32_4, all_48_0, all_56_0) = all_144_0
% 83.02/11.98 | | | | | | | | | | | (226) ~ (all_144_0 = 0) | ~ (all_144_1 = 0) | ~
% 83.02/11.98 | | | | | | | | | | | (all_144_2 = 0)
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | REDUCE: (215), (220) imply:
% 83.02/11.98 | | | | | | | | | | | (227) ~ (all_88_0 = all_56_0)
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | REDUCE: (215), (224) imply:
% 83.02/11.98 | | | | | | | | | | | (228) member(all_88_0, all_32_3) = all_144_1
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | BETA: splitting (133) gives:
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | (229) all_88_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | REDUCE: (227), (229) imply:
% 83.02/11.98 | | | | | | | | | | | | (230) $false
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_144_2, all_32_2,
% 83.02/11.98 | | | | | | | | | | | | all_48_0, simplifying with (33), (223) gives:
% 83.02/11.98 | | | | | | | | | | | | (231) all_144_2 = 0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_144_1, all_32_3,
% 83.02/11.98 | | | | | | | | | | | | all_88_0, simplifying with (97), (228) gives:
% 83.02/11.98 | | | | | | | | | | | | (232) all_144_1 = 0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_144_0, all_56_0,
% 83.02/11.98 | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (46), (225)
% 83.02/11.98 | | | | | | | | | | | | gives:
% 83.02/11.98 | | | | | | | | | | | | (233) all_144_0 = 0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | BETA: splitting (226) gives:
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | (234) ~ (all_144_0 = 0)
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | REDUCE: (233), (234) imply:
% 83.02/11.98 | | | | | | | | | | | | | (235) $false
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | (236) ~ (all_144_1 = 0) | ~ (all_144_2 = 0)
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | (237) ~ (all_144_1 = 0)
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | REDUCE: (232), (237) imply:
% 83.02/11.98 | | | | | | | | | | | | | | (238) $false
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | CLOSE: (238) is inconsistent.
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | (239) ~ (all_144_2 = 0)
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | REDUCE: (231), (239) imply:
% 83.02/11.98 | | | | | | | | | | | | | | (240) $false
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | CLOSE: (240) is inconsistent.
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | End of split
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | End of split
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | End of split
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | End of split
% 83.02/11.98 | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | (241) ~ (all_94_3 = all_48_0)
% 83.02/11.98 | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | BETA: splitting (126) gives:
% 83.02/11.98 | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | (242) all_88_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | COMBINE_EQS: (215), (242) imply:
% 83.02/11.98 | | | | | | | | | | | (243) all_90_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.98 | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (117),
% 83.02/11.98 | | | | | | | | | | | (118), (121), (124), (128), (131), (132), (135),
% 83.02/11.98 | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (159),
% 83.02/11.98 | | | | | | | | | | | (160), (161), (170), (173), (174), (175), (176),
% 83.02/11.98 | | | | | | | | | | | (177), (179), (181), (182), (186), (187), (188),
% 83.02/11.98 | | | | | | | | | | | (189), (194), (195), (196), (197), (198), (203),
% 83.02/11.98 | | | | | | | | | | | (204), (211), (213), (214), (241), (242), (243)
% 83.02/11.98 | | | | | | | | | | | are inconsistent by sub-proof #2.
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | (244) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/11.98 | | | | | | | | | | | all_48_0, all_88_0) = v1 & apply(all_32_4,
% 83.02/11.98 | | | | | | | | | | | all_48_0, all_56_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/11.98 | | | | | | | | | | | (v0 = 0)))
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | DELTA: instantiating (244) with fresh symbols all_146_0,
% 83.02/11.98 | | | | | | | | | | | all_146_1 gives:
% 83.02/11.98 | | | | | | | | | | | (245) apply(all_32_4, all_48_0, all_88_0) = all_146_0 &
% 83.02/11.98 | | | | | | | | | | | apply(all_32_4, all_48_0, all_56_0) = all_146_1 &
% 83.02/11.98 | | | | | | | | | | | ( ~ (all_146_0 = 0) | ~ (all_146_1 = 0))
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | ALPHA: (245) implies:
% 83.02/11.98 | | | | | | | | | | | (246) apply(all_32_4, all_48_0, all_88_0) = all_146_0
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | BETA: splitting (198) gives:
% 83.02/11.98 | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | (247) all_96_3 = all_48_0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | REDUCE: (118), (247) imply:
% 83.02/11.98 | | | | | | | | | | | | (248) apply(all_32_4, all_48_0, all_48_2) = 0
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | BETA: splitting (172) gives:
% 83.02/11.98 | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | (249) all_88_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | COMBINE_EQS: (215), (249) imply:
% 83.02/11.98 | | | | | | | | | | | | | (250) all_90_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.98 | | | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (121),
% 83.02/11.98 | | | | | | | | | | | | | (124), (128), (131), (132), (135), (138), (139),
% 83.02/11.98 | | | | | | | | | | | | | (140), (141), (142), (143), (159), (170), (173),
% 83.02/11.98 | | | | | | | | | | | | | (174), (175), (176), (177), (179), (181), (186),
% 83.02/11.98 | | | | | | | | | | | | | (187), (188), (189), (194), (195), (196), (197),
% 83.02/11.98 | | | | | | | | | | | | | (203), (204), (211), (213), (214), (241), (247),
% 83.02/11.98 | | | | | | | | | | | | | (248), (249), (250) are inconsistent by sub-proof
% 83.02/11.98 | | | | | | | | | | | | | #4.
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | Case 2:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | (251) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/11.98 | | | | | | | | | | | | | all_96_3, all_88_0) = v0 & apply(all_32_4,
% 83.02/11.98 | | | | | | | | | | | | | all_96_3, all_56_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/11.98 | | | | | | | | | | | | | (v0 = 0)))
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | DELTA: instantiating (251) with fresh symbols all_180_0,
% 83.02/11.98 | | | | | | | | | | | | | all_180_1 gives:
% 83.02/11.98 | | | | | | | | | | | | | (252) apply(all_32_4, all_96_3, all_88_0) = all_180_1 &
% 83.02/11.98 | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = all_180_0 &
% 83.02/11.98 | | | | | | | | | | | | | ( ~ (all_180_0 = 0) | ~ (all_180_1 = 0))
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | ALPHA: (252) implies:
% 83.02/11.98 | | | | | | | | | | | | | (253) apply(all_32_4, all_96_3, all_56_0) = all_180_0
% 83.02/11.98 | | | | | | | | | | | | | (254) apply(all_32_4, all_96_3, all_88_0) = all_180_1
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | REDUCE: (247), (254) imply:
% 83.02/11.98 | | | | | | | | | | | | | (255) apply(all_32_4, all_48_0, all_88_0) = all_180_1
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | REDUCE: (247), (253) imply:
% 83.02/11.98 | | | | | | | | | | | | | (256) apply(all_32_4, all_48_0, all_56_0) = all_180_0
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | BETA: splitting (171) gives:
% 83.02/11.98 | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | Case 1:
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | (257) all_90_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.98 | | | | | | | | | | | | | | COMBINE_EQS: (215), (257) imply:
% 83.02/11.98 | | | | | | | | | | | | | | (258) all_88_0 = all_56_0
% 83.02/11.98 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.99 | | | | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (117),
% 83.02/11.99 | | | | | | | | | | | | | | (118), (121), (124), (128), (131), (132), (135),
% 83.02/11.99 | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (159),
% 83.02/11.99 | | | | | | | | | | | | | | (160), (161), (170), (173), (174), (175), (176),
% 83.02/11.99 | | | | | | | | | | | | | | (177), (179), (181), (182), (186), (187), (188),
% 83.02/11.99 | | | | | | | | | | | | | | (189), (194), (195), (196), (197), (198), (203),
% 83.02/11.99 | | | | | | | | | | | | | | (204), (211), (213), (214), (241), (257), (258)
% 83.02/11.99 | | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | Case 2:
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | (259) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | all_96_3, all_90_0) = v0 & apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | all_96_3, all_56_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/11.99 | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | DELTA: instantiating (259) with fresh symbols all_185_0,
% 83.02/11.99 | | | | | | | | | | | | | | all_185_1 gives:
% 83.02/11.99 | | | | | | | | | | | | | | (260) apply(all_32_4, all_96_3, all_90_0) = all_185_1 &
% 83.02/11.99 | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = all_185_0 &
% 83.02/11.99 | | | | | | | | | | | | | | ( ~ (all_185_0 = 0) | ~ (all_185_1 = 0))
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | ALPHA: (260) implies:
% 83.02/11.99 | | | | | | | | | | | | | | (261) apply(all_32_4, all_96_3, all_56_0) = all_185_0
% 83.02/11.99 | | | | | | | | | | | | | | (262) apply(all_32_4, all_96_3, all_90_0) = all_185_1
% 83.02/11.99 | | | | | | | | | | | | | | (263) ~ (all_185_0 = 0) | ~ (all_185_1 = 0)
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | REDUCE: (215), (247), (262) imply:
% 83.02/11.99 | | | | | | | | | | | | | | (264) apply(all_32_4, all_48_0, all_88_0) = all_185_1
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | REDUCE: (247), (261) imply:
% 83.02/11.99 | | | | | | | | | | | | | | (265) apply(all_32_4, all_48_0, all_56_0) = all_185_0
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 83.02/11.99 | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | Case 1:
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | (266) all_90_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | COMBINE_EQS: (215), (266) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | (267) all_88_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.99 | | | | | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (117),
% 83.02/11.99 | | | | | | | | | | | | | | | (118), (121), (124), (128), (131), (132), (135),
% 83.02/11.99 | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (159),
% 83.02/11.99 | | | | | | | | | | | | | | | (160), (161), (170), (173), (174), (175), (176),
% 83.02/11.99 | | | | | | | | | | | | | | | (177), (179), (181), (182), (186), (187), (188),
% 83.02/11.99 | | | | | | | | | | | | | | | (189), (194), (195), (196), (197), (198), (203),
% 83.02/11.99 | | | | | | | | | | | | | | | (204), (211), (213), (214), (241), (266), (267)
% 83.02/11.99 | | | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | Case 2:
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | (268) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | | all_96_3, all_90_0) = v1 & apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | | all_96_3, all_56_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/11.99 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | DELTA: instantiating (268) with fresh symbols all_190_0,
% 83.02/11.99 | | | | | | | | | | | | | | | all_190_1 gives:
% 83.02/11.99 | | | | | | | | | | | | | | | (269) apply(all_32_4, all_96_3, all_90_0) = all_190_0 &
% 83.02/11.99 | | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = all_190_1 &
% 83.02/11.99 | | | | | | | | | | | | | | | ( ~ (all_190_0 = 0) | ~ (all_190_1 = 0))
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 83.02/11.99 | | | | | | | | | | | | | | | (270) apply(all_32_4, all_96_3, all_56_0) = all_190_1
% 83.02/11.99 | | | | | | | | | | | | | | | (271) apply(all_32_4, all_96_3, all_90_0) = all_190_0
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | REDUCE: (215), (247), (271) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | (272) apply(all_32_4, all_48_0, all_88_0) = all_190_0
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | REDUCE: (247), (270) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | (273) apply(all_32_4, all_48_0, all_56_0) = all_190_1
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 83.02/11.99 | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | Case 1:
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | (274) all_88_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (274) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | (275) all_90_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.99 | | | | | | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (121),
% 83.02/11.99 | | | | | | | | | | | | | | | | (124), (128), (131), (132), (135), (138), (139),
% 83.02/11.99 | | | | | | | | | | | | | | | | (140), (141), (142), (143), (159), (170), (173),
% 83.02/11.99 | | | | | | | | | | | | | | | | (174), (175), (176), (177), (179), (181), (186),
% 83.02/11.99 | | | | | | | | | | | | | | | | (187), (188), (189), (194), (195), (196), (197),
% 83.02/11.99 | | | | | | | | | | | | | | | | (203), (204), (211), (213), (214), (241), (247),
% 83.02/11.99 | | | | | | | | | | | | | | | | (248), (274), (275) are inconsistent by sub-proof
% 83.02/11.99 | | | | | | | | | | | | | | | | #4.
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | Case 2:
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | (276) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | | | all_96_3, all_88_0) = v1 & apply(all_32_4,
% 83.02/11.99 | | | | | | | | | | | | | | | | all_96_3, all_56_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/11.99 | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | DELTA: instantiating (276) with fresh symbols all_195_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | all_195_1 gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | (277) apply(all_32_4, all_96_3, all_88_0) = all_195_0 &
% 83.02/11.99 | | | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_56_0) = all_195_1 &
% 83.02/11.99 | | | | | | | | | | | | | | | | ( ~ (all_195_0 = 0) | ~ (all_195_1 = 0))
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 83.02/11.99 | | | | | | | | | | | | | | | | (278) apply(all_32_4, all_96_3, all_56_0) = all_195_1
% 83.02/11.99 | | | | | | | | | | | | | | | | (279) apply(all_32_4, all_96_3, all_88_0) = all_195_0
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | REDUCE: (247), (279) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | (280) apply(all_32_4, all_48_0, all_88_0) = all_195_0
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | REDUCE: (247), (278) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | (281) apply(all_32_4, all_48_0, all_56_0) = all_195_1
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | Case 1:
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | (282) all_90_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (282) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (283) all_88_0 = all_56_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (72), (73),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (76), (78), (84), (86), (92), (106), (113), (117),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (118), (121), (124), (128), (131), (132), (135),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (138), (139), (140), (141), (142), (143), (159),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (160), (161), (170), (173), (174), (175), (176),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (177), (179), (181), (182), (186), (187), (188),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (189), (194), (195), (196), (197), (198), (203),
% 83.02/11.99 | | | | | | | | | | | | | | | | | (204), (211), (213), (214), (241), (282), (283)
% 83.02/11.99 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | Case 2:
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_190_1, all_56_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (46), (273)
% 83.02/11.99 | | | | | | | | | | | | | | | | | gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (284) all_190_1 = 0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_185_0, all_190_1,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (265), (273) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (285) all_190_1 = all_185_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_190_1, all_195_1,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (273), (281) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (286) all_195_1 = all_190_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_180_0, all_195_1,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (256), (281) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (287) all_195_1 = all_180_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_185_1, all_88_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (114), (264)
% 83.02/11.99 | | | | | | | | | | | | | | | | | gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (288) all_185_1 = 0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_146_0, all_185_1,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_88_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (246), (264) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (289) all_185_1 = all_146_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_190_0, all_195_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_88_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (272), (280) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (290) all_195_0 = all_190_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_185_1, all_195_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_88_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (264), (280) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (291) all_195_0 = all_185_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_180_1, all_195_0,
% 83.02/11.99 | | | | | | | | | | | | | | | | | all_88_0, all_48_0, all_32_4, simplifying with
% 83.02/11.99 | | | | | | | | | | | | | | | | | (255), (280) gives:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (292) all_195_0 = all_180_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (292) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (293) all_190_0 = all_180_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (291) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (294) all_190_0 = all_185_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (287) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (295) all_190_1 = all_180_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (296) all_190_1 = all_180_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (293), (294) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (297) all_185_1 = all_180_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | SIMP: (297) implies:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (298) all_185_1 = all_180_1
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (285) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (299) all_185_0 = 0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (296) imply:
% 83.02/11.99 | | | | | | | | | | | | | | | | | (300) all_185_0 = all_180_0
% 83.02/11.99 | | | | | | | | | | | | | | | | |
% 83.02/11.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (300) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | (301) all_180_0 = 0
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (298) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | (302) all_180_1 = all_146_0
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (288), (298) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | (303) all_180_1 = 0
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (303) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | (304) all_146_0 = 0
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | (305) ~ (all_185_0 = 0)
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | REDUCE: (299), (305) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | | (306) $false
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | CLOSE: (306) is inconsistent.
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | (307) ~ (all_185_1 = 0)
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | REDUCE: (288), (307) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | | | | (308) $false
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 83.02/12.00 | | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | (309) ~ (all_96_3 = all_48_0)
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | REF_CLOSE: (9), (34), (117), (160), (161), (182), (241),
% 83.02/12.00 | | | | | | | | | | | | (309) are inconsistent by sub-proof #3.
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | End of split
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | | (310) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.00 | | | | | | | | | (apply(all_32_4, all_48_0, all_88_0) = v2 &
% 83.02/12.00 | | | | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 83.02/12.00 | | | | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_136_0,
% 83.02/12.00 | | | | | | | | | all_136_1, all_136_2 gives:
% 83.02/12.00 | | | | | | | | | (311) apply(all_32_4, all_48_0, all_88_0) = all_136_0 &
% 83.02/12.00 | | | | | | | | | member(all_90_0, all_32_3) = all_136_1 &
% 83.02/12.00 | | | | | | | | | member(all_48_0, all_32_2) = all_136_2 & ( ~
% 83.02/12.00 | | | | | | | | | (all_136_0 = 0) | ~ (all_136_1 = 0) | ~
% 83.02/12.00 | | | | | | | | | (all_136_2 = 0))
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | | ALPHA: (311) implies:
% 83.02/12.00 | | | | | | | | | (312) apply(all_32_4, all_48_0, all_88_0) = all_136_0
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | | BETA: splitting (198) gives:
% 83.02/12.00 | | | | | | | | |
% 83.02/12.00 | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | (313) all_96_3 = all_48_0
% 83.02/12.00 | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | REDUCE: (118), (313) imply:
% 83.02/12.00 | | | | | | | | | | (314) apply(all_32_4, all_48_0, all_48_2) = 0
% 83.02/12.00 | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | BETA: splitting (159) gives:
% 83.02/12.00 | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | (315) all_94_3 = all_48_0
% 83.02/12.00 | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | REDUCE: (122), (315) imply:
% 83.02/12.00 | | | | | | | | | | | (316) apply(all_32_4, all_48_0, all_48_1) = 0
% 83.02/12.00 | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | BETA: splitting (152) gives:
% 83.02/12.00 | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | (317) all_48_1 = all_48_2
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | REDUCE: (27), (317) imply:
% 83.02/12.00 | | | | | | | | | | | | (318) $false
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | (319) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | all_94_3, all_48_1) = v0 & apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | all_94_3, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | DELTA: instantiating (319) with fresh symbols all_155_0,
% 83.02/12.00 | | | | | | | | | | | | all_155_1 gives:
% 83.02/12.00 | | | | | | | | | | | | (320) apply(all_32_4, all_94_3, all_48_1) = all_155_1 &
% 83.02/12.00 | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_155_0 &
% 83.02/12.00 | | | | | | | | | | | | ( ~ (all_155_0 = 0) | ~ (all_155_1 = 0))
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | ALPHA: (320) implies:
% 83.02/12.00 | | | | | | | | | | | | (321) apply(all_32_4, all_94_3, all_48_2) = all_155_0
% 83.02/12.00 | | | | | | | | | | | | (322) apply(all_32_4, all_94_3, all_48_1) = all_155_1
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | REDUCE: (315), (322) imply:
% 83.02/12.00 | | | | | | | | | | | | (323) apply(all_32_4, all_48_0, all_48_1) = all_155_1
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | REDUCE: (315), (321) imply:
% 83.02/12.00 | | | | | | | | | | | | (324) apply(all_32_4, all_48_0, all_48_2) = all_155_0
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | BETA: splitting (148) gives:
% 83.02/12.00 | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | (325) all_48_1 = all_48_2
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | REDUCE: (27), (325) imply:
% 83.02/12.00 | | | | | | | | | | | | | (326) $false
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | (327) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | all_94_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | DELTA: instantiating (327) with fresh symbols all_160_0,
% 83.02/12.00 | | | | | | | | | | | | | all_160_1 gives:
% 83.02/12.00 | | | | | | | | | | | | | (328) apply(all_32_4, all_94_3, all_48_1) = all_160_0 &
% 83.02/12.00 | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_160_1 &
% 83.02/12.00 | | | | | | | | | | | | | ( ~ (all_160_0 = 0) | ~ (all_160_1 = 0))
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | ALPHA: (328) implies:
% 83.02/12.00 | | | | | | | | | | | | | (329) apply(all_32_4, all_94_3, all_48_2) = all_160_1
% 83.02/12.00 | | | | | | | | | | | | | (330) apply(all_32_4, all_94_3, all_48_1) = all_160_0
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | REDUCE: (315), (330) imply:
% 83.02/12.00 | | | | | | | | | | | | | (331) apply(all_32_4, all_48_0, all_48_1) = all_160_0
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | REDUCE: (315), (329) imply:
% 83.02/12.00 | | | | | | | | | | | | | (332) apply(all_32_4, all_48_0, all_48_2) = all_160_1
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | BETA: splitting (144) gives:
% 83.02/12.00 | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | (333) all_56_0 = all_48_1
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.00 | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.00 | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.00 | | | | | | | | | | | | | | (332), (333) are inconsistent by sub-proof #1.
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | (334) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | all_94_3, all_56_0) = v1 & apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | DELTA: instantiating (334) with fresh symbols all_190_0,
% 83.02/12.00 | | | | | | | | | | | | | | all_190_1 gives:
% 83.02/12.00 | | | | | | | | | | | | | | (335) apply(all_32_4, all_94_3, all_56_0) = all_190_0 &
% 83.02/12.00 | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_190_1 &
% 83.02/12.00 | | | | | | | | | | | | | | ( ~ (all_190_0 = 0) | ~ (all_190_1 = 0))
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | ALPHA: (335) implies:
% 83.02/12.00 | | | | | | | | | | | | | | (336) apply(all_32_4, all_94_3, all_48_1) = all_190_1
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | REDUCE: (315), (336) imply:
% 83.02/12.00 | | | | | | | | | | | | | | (337) apply(all_32_4, all_48_0, all_48_1) = all_190_1
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 83.02/12.00 | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | (338) all_56_0 = all_48_1
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.00 | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.00 | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.00 | | | | | | | | | | | | | | | (332), (338) are inconsistent by sub-proof #1.
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | (339) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | | all_94_3, all_56_0) = v0 & apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | DELTA: instantiating (339) with fresh symbols all_196_0,
% 83.02/12.00 | | | | | | | | | | | | | | | all_196_1 gives:
% 83.02/12.00 | | | | | | | | | | | | | | | (340) apply(all_32_4, all_94_3, all_56_0) = all_196_1 &
% 83.02/12.00 | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_196_0 &
% 83.02/12.00 | | | | | | | | | | | | | | | ( ~ (all_196_0 = 0) | ~ (all_196_1 = 0))
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 83.02/12.00 | | | | | | | | | | | | | | | (341) apply(all_32_4, all_94_3, all_48_1) = all_196_0
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | REDUCE: (315), (341) imply:
% 83.02/12.00 | | | | | | | | | | | | | | | (342) apply(all_32_4, all_48_0, all_48_1) = all_196_0
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 83.02/12.00 | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | Case 1:
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | (343) all_56_0 = all_48_1
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.00 | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.00 | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.00 | | | | | | | | | | | | | | | | (332), (343) are inconsistent by sub-proof #1.
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | Case 2:
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | (344) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | | | all_58_0, all_56_0) = v1 & apply(all_32_4,
% 83.02/12.00 | | | | | | | | | | | | | | | | all_58_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.00 | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | DELTA: instantiating (344) with fresh symbols all_202_0,
% 83.02/12.00 | | | | | | | | | | | | | | | | all_202_1 gives:
% 83.02/12.00 | | | | | | | | | | | | | | | | (345) apply(all_32_4, all_58_0, all_56_0) = all_202_0 &
% 83.02/12.00 | | | | | | | | | | | | | | | | apply(all_32_4, all_58_0, all_48_1) = all_202_1 &
% 83.02/12.00 | | | | | | | | | | | | | | | | ( ~ (all_202_0 = 0) | ~ (all_202_1 = 0))
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 83.02/12.00 | | | | | | | | | | | | | | | | (346) apply(all_32_4, all_58_0, all_48_1) = all_202_1
% 83.02/12.00 | | | | | | | | | | | | | | | |
% 83.02/12.00 | | | | | | | | | | | | | | | | REDUCE: (113), (346) imply:
% 83.02/12.01 | | | | | | | | | | | | | | | | (347) apply(all_32_4, all_48_0, all_48_1) = all_202_1
% 83.02/12.01 | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | (348) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | (332), (348) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | (349) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | all_48_0, all_56_0) = v1 & apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | DELTA: instantiating (349) with fresh symbols all_208_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | all_208_1 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | (350) apply(all_32_4, all_48_0, all_56_0) = all_208_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_208_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | ( ~ (all_208_0 = 0) | ~ (all_208_1 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | (351) apply(all_32_4, all_48_0, all_48_1) = all_208_1
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (352) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (332), (352) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (353) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | all_48_0, all_56_0) = v0 & apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | all_48_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | DELTA: instantiating (353) with fresh symbols all_214_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | all_214_1 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (354) apply(all_32_4, all_48_0, all_56_0) = all_214_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_214_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | ( ~ (all_214_0 = 0) | ~ (all_214_1 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | (355) apply(all_32_4, all_48_0, all_48_1) = all_214_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (356) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (332), (356) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (357) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | all_58_0, all_56_0) = v0 & apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | all_58_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (357) with fresh symbols all_220_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | all_220_1 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (358) apply(all_32_4, all_58_0, all_56_0) = all_220_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_58_0, all_48_1) = all_220_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | ( ~ (all_220_0 = 0) | ~ (all_220_1 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (359) apply(all_32_4, all_58_0, all_48_1) = all_220_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | REDUCE: (113), (359) imply:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | (360) apply(all_32_4, all_48_0, all_48_1) = all_220_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (361) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (332), (361) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (362) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (apply(all_32_4, all_48_0, all_48_1) = v2 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | member(all_56_0, all_32_3) = v1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (362) with fresh symbols all_226_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | all_226_1, all_226_2 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (363) apply(all_32_4, all_48_0, all_48_1) = all_226_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | member(all_56_0, all_32_3) = all_226_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | member(all_48_0, all_32_2) = all_226_2 & ( ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (all_226_0 = 0) | ~ (all_226_1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (all_226_2 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | (364) apply(all_32_4, all_48_0, all_48_1) = all_226_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (365) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (332), (365) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (366) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | all_60_0, all_56_0) = v1 & apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | all_60_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (366) with fresh symbols all_237_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | all_237_1 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (367) apply(all_32_4, all_60_0, all_56_0) = all_237_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_237_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_237_0 = 0) | ~ (all_237_1 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (368) apply(all_32_4, all_60_0, all_48_1) = all_237_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (368) imply:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | (369) apply(all_32_4, all_48_0, all_48_1) = all_237_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (370) all_56_0 = all_48_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (59), (60), (61), (72), (73), (76),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (78), (84), (86), (92), (113), (124), (145),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (151), (314), (315), (316), (323), (324), (331),
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (332), (370) are inconsistent by sub-proof #1.
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (371) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_60_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (371) with fresh symbols all_243_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_243_1 gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (372) apply(all_32_4, all_60_0, all_56_0) = all_243_1 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_243_0 &
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_243_0 = 0) | ~ (all_243_1 = 0))
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (373) apply(all_32_4, all_60_0, all_48_1) = all_243_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (373) imply:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (374) apply(all_32_4, all_48_0, all_48_1) = all_243_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_71_0, all_155_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (59), (324) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (375) all_155_0 = all_71_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_155_0, all_160_1,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (324), (332) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (376) all_160_1 = all_155_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_160_1, all_48_2,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (314), (332)
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (377) all_160_1 = 0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_71_1, all_190_1,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (60), (337) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (378) all_190_1 = all_71_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_155_1, all_190_1,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (323), (337) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (379) all_190_1 = all_155_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_190_1, all_48_1,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (316), (337)
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (380) all_190_1 = 0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_190_1, all_196_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (337), (342) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (381) all_196_0 = all_190_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_202_1, all_214_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (347), (355) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (382) all_214_0 = all_202_1
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_196_0, all_214_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (342), (355) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (383) all_214_0 = all_196_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_214_0, all_220_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (355), (360) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (384) all_220_0 = all_214_0
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_214_0, all_226_0,
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (355), (364) gives:
% 83.02/12.01 | | | | | | | | | | | | | | | | | | | | | | (385) all_226_0 = all_214_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_220_0, all_237_1,
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (360), (369) gives:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (386) all_237_1 = all_220_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_208_1, all_237_1,
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (351), (369) gives:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (387) all_237_1 = all_208_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_226_0, all_243_0,
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (364), (374) gives:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (388) all_243_0 = all_226_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_160_0, all_243_0,
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (331), (374) gives:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (389) all_243_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (389) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (390) all_226_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (390) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (391) all_226_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (387) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (392) all_220_0 = all_208_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (392) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (393) all_220_0 = all_208_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (391) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (394) all_214_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (394) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (395) all_214_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (393) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (396) all_214_0 = all_208_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (396) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (397) all_214_0 = all_208_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (397) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (398) all_208_1 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (397) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (399) all_208_1 = all_196_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (397) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (400) all_208_1 = all_202_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (400) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (401) all_202_1 = all_196_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (400) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (402) all_202_1 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (402) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (403) all_196_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (403) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (404) all_196_0 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (404) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (405) all_190_1 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (405) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (406) all_190_1 = all_160_0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (406) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (407) all_160_0 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (406) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (408) all_160_0 = all_155_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (406) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (409) all_160_0 = all_71_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (409) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (410) all_155_1 = all_71_1
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (411) all_155_1 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (377) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (412) all_155_0 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (412) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (413) all_155_0 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (413) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (414) all_71_0 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (414) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (415) all_71_0 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (411) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (416) all_71_1 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (416) implies:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | (417) all_71_1 = 0
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | (418) ~ (all_71_0 = 0)
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (415), (418) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | (419) $false
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | (420) ~ (all_71_1 = 0)
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (417), (420) imply:
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | (421) $false
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (421) is inconsistent.
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | End of split
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | Case 2:
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | (422) ~ (all_94_3 = all_48_0)
% 83.02/12.02 | | | | | | | | | | | (423) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.02 | | | | | | | | | | | all_48_1, all_94_3) = v0 & apply(all_32_5,
% 83.02/12.02 | | | | | | | | | | | all_48_1, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.02 | | | | | | | | | | | (v0 = 0)))
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | DELTA: instantiating (423) with fresh symbols all_152_0,
% 83.02/12.02 | | | | | | | | | | | all_152_1 gives:
% 83.02/12.02 | | | | | | | | | | | (424) apply(all_32_5, all_48_1, all_94_3) = all_152_1 &
% 83.02/12.02 | | | | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = all_152_0 &
% 83.02/12.02 | | | | | | | | | | | ( ~ (all_152_0 = 0) | ~ (all_152_1 = 0))
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | ALPHA: (424) implies:
% 83.02/12.02 | | | | | | | | | | | (425) apply(all_32_5, all_48_1, all_48_0) = all_152_0
% 83.02/12.02 | | | | | | | | | | | (426) apply(all_32_5, all_48_1, all_94_3) = all_152_1
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | BETA: splitting (201) gives:
% 83.02/12.02 | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | Case 1:
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | (427) all_94_3 = all_48_0
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | REDUCE: (422), (427) imply:
% 83.02/12.02 | | | | | | | | | | | | (428) $false
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | CLOSE: (428) is inconsistent.
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | Case 2:
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | (429) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.02 | | | | | | | | | | | | (apply(all_32_5, all_48_1, all_48_0) = v2 &
% 83.02/12.02 | | | | | | | | | | | | member(all_94_3, all_32_2) = v1 &
% 83.02/12.02 | | | | | | | | | | | | member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) |
% 83.02/12.02 | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | DELTA: instantiating (429) with fresh symbols all_168_0,
% 83.02/12.02 | | | | | | | | | | | | all_168_1, all_168_2 gives:
% 83.02/12.02 | | | | | | | | | | | | (430) apply(all_32_5, all_48_1, all_48_0) = all_168_0 &
% 83.02/12.02 | | | | | | | | | | | | member(all_94_3, all_32_2) = all_168_1 &
% 83.02/12.02 | | | | | | | | | | | | member(all_48_1, all_32_3) = all_168_2 & ( ~
% 83.02/12.02 | | | | | | | | | | | | (all_168_0 = 0) | ~ (all_168_1 = 0) | ~
% 83.02/12.02 | | | | | | | | | | | | (all_168_2 = 0))
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | ALPHA: (430) implies:
% 83.02/12.02 | | | | | | | | | | | | (431) apply(all_32_5, all_48_1, all_48_0) = all_168_0
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | BETA: splitting (202) gives:
% 83.02/12.02 | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | Case 1:
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | (432) all_96_3 = all_94_3
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | COMBINE_EQS: (313), (432) imply:
% 83.02/12.02 | | | | | | | | | | | | | (433) all_94_3 = all_48_0
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | SIMP: (433) implies:
% 83.02/12.02 | | | | | | | | | | | | | (434) all_94_3 = all_48_0
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | REDUCE: (422), (434) imply:
% 83.02/12.02 | | | | | | | | | | | | | (435) $false
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | CLOSE: (435) is inconsistent.
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | Case 2:
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | (436) ~ (all_96_3 = all_94_3)
% 83.02/12.02 | | | | | | | | | | | | | (437) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.02 | | | | | | | | | | | | | (apply(all_32_5, all_48_1, all_96_3) = v2 &
% 83.02/12.02 | | | | | | | | | | | | | member(all_94_3, all_32_2) = v1 &
% 83.02/12.02 | | | | | | | | | | | | | member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) |
% 83.02/12.02 | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | DELTA: instantiating (437) with fresh symbols all_174_0,
% 83.02/12.02 | | | | | | | | | | | | | all_174_1, all_174_2 gives:
% 83.02/12.02 | | | | | | | | | | | | | (438) apply(all_32_5, all_48_1, all_96_3) = all_174_0 &
% 83.02/12.02 | | | | | | | | | | | | | member(all_94_3, all_32_2) = all_174_1 &
% 83.02/12.02 | | | | | | | | | | | | | member(all_48_1, all_32_3) = all_174_2 & ( ~
% 83.02/12.02 | | | | | | | | | | | | | (all_174_0 = 0) | ~ (all_174_1 = 0) | ~
% 83.02/12.02 | | | | | | | | | | | | | (all_174_2 = 0))
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | ALPHA: (438) implies:
% 83.02/12.02 | | | | | | | | | | | | | (439) apply(all_32_5, all_48_1, all_96_3) = all_174_0
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | REDUCE: (313), (436) imply:
% 83.02/12.02 | | | | | | | | | | | | | (440) ~ (all_94_3 = all_48_0)
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | REDUCE: (313), (439) imply:
% 83.02/12.02 | | | | | | | | | | | | | (441) apply(all_32_5, all_48_1, all_48_0) = all_174_0
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | BETA: splitting (186) gives:
% 83.02/12.02 | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | Case 1:
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | (442) all_96_3 = all_94_3
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | COMBINE_EQS: (313), (442) imply:
% 83.02/12.02 | | | | | | | | | | | | | | (443) all_94_3 = all_48_0
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | REDUCE: (422), (443) imply:
% 83.02/12.02 | | | | | | | | | | | | | | (444) $false
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | CLOSE: (444) is inconsistent.
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | Case 2:
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | (445) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.02 | | | | | | | | | | | | | | all_48_1, all_96_3) = v1 & apply(all_32_5,
% 83.02/12.02 | | | | | | | | | | | | | | all_48_1, all_94_3) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.02 | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | DELTA: instantiating (445) with fresh symbols all_265_0,
% 83.02/12.02 | | | | | | | | | | | | | | all_265_1 gives:
% 83.02/12.02 | | | | | | | | | | | | | | (446) apply(all_32_5, all_48_1, all_96_3) = all_265_0 &
% 83.02/12.02 | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_94_3) = all_265_1 &
% 83.02/12.02 | | | | | | | | | | | | | | ( ~ (all_265_0 = 0) | ~ (all_265_1 = 0))
% 83.02/12.02 | | | | | | | | | | | | | |
% 83.02/12.02 | | | | | | | | | | | | | | ALPHA: (446) implies:
% 83.02/12.02 | | | | | | | | | | | | | | (447) apply(all_32_5, all_48_1, all_94_3) = all_265_1
% 83.02/12.03 | | | | | | | | | | | | | | (448) apply(all_32_5, all_48_1, all_96_3) = all_265_0
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | REDUCE: (313), (448) imply:
% 83.02/12.03 | | | | | | | | | | | | | | (449) apply(all_32_5, all_48_1, all_48_0) = all_265_0
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | (450) all_96_3 = all_94_3
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (313), (450) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (451) all_94_3 = all_48_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | REDUCE: (422), (451) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (452) $false
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | CLOSE: (452) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | (453) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_1, all_96_3) = v0 & apply(all_32_5,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_1, all_94_3) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.03 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | DELTA: instantiating (453) with fresh symbols all_295_0,
% 83.02/12.03 | | | | | | | | | | | | | | | all_295_1 gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (454) apply(all_32_5, all_48_1, all_96_3) = all_295_1 &
% 83.02/12.03 | | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_94_3) = all_295_0 &
% 83.02/12.03 | | | | | | | | | | | | | | | ( ~ (all_295_0 = 0) | ~ (all_295_1 = 0))
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 83.02/12.03 | | | | | | | | | | | | | | | (455) apply(all_32_5, all_48_1, all_94_3) = all_295_0
% 83.02/12.03 | | | | | | | | | | | | | | | (456) apply(all_32_5, all_48_1, all_96_3) = all_295_1
% 83.02/12.03 | | | | | | | | | | | | | | | (457) ~ (all_295_0 = 0) | ~ (all_295_1 = 0)
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | REDUCE: (313), (456) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (458) apply(all_32_5, all_48_1, all_48_0) = all_295_1
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_295_1, all_48_0,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_1, all_32_5, simplifying with (35), (458)
% 83.02/12.03 | | | | | | | | | | | | | | | gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (459) all_295_1 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_265_0, all_295_1,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (449), (458) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (460) all_295_1 = all_265_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_174_0, all_295_1,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (441), (458) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (461) all_295_1 = all_174_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_168_0, all_295_1,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (431), (458) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (462) all_295_1 = all_168_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_152_0, all_295_1,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (425), (458) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (463) all_295_1 = all_152_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_265_1, all_94_3,
% 83.02/12.03 | | | | | | | | | | | | | | | all_48_1, all_32_5, simplifying with (121), (447)
% 83.02/12.03 | | | | | | | | | | | | | | | gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (464) all_265_1 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_265_1, all_295_0,
% 83.02/12.03 | | | | | | | | | | | | | | | all_94_3, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (447), (455) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (465) all_295_0 = all_265_1
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_152_1, all_295_0,
% 83.02/12.03 | | | | | | | | | | | | | | | all_94_3, all_48_1, all_32_5, simplifying with
% 83.02/12.03 | | | | | | | | | | | | | | | (426), (455) gives:
% 83.02/12.03 | | | | | | | | | | | | | | | (466) all_295_0 = all_152_1
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (465), (466) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (467) all_265_1 = all_152_1
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | SIMP: (467) implies:
% 83.02/12.03 | | | | | | | | | | | | | | | (468) all_265_1 = all_152_1
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (460), (463) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (469) all_265_0 = all_152_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (460), (462) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (470) all_265_0 = all_168_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (459), (460) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (471) all_265_0 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (460), (461) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (472) all_265_0 = all_174_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (469), (472) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (473) all_174_0 = all_152_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (471), (472) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (474) all_174_0 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (470), (472) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (475) all_174_0 = all_168_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (464), (468) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (476) all_152_1 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | SIMP: (476) implies:
% 83.02/12.03 | | | | | | | | | | | | | | | (477) all_152_1 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (474), (475) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (478) all_168_0 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (473), (475) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (479) all_168_0 = all_152_0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (478), (479) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (480) all_152_0 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (466), (477) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | (481) all_295_0 = 0
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | (482) ~ (all_295_0 = 0)
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | REDUCE: (481), (482) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | | (483) $false
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | CLOSE: (483) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | (484) ~ (all_295_1 = 0)
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | REDUCE: (459), (484) imply:
% 83.02/12.03 | | | | | | | | | | | | | | | | (485) $false
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | | CLOSE: (485) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | End of split
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | (486) ~ (all_96_3 = all_48_0)
% 83.02/12.03 | | | | | | | | | | (487) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.03 | | | | | | | | | | (apply(all_32_5, all_48_2, all_48_0) = v2 &
% 83.02/12.03 | | | | | | | | | | member(all_96_3, all_32_2) = v1 &
% 83.02/12.03 | | | | | | | | | | member(all_48_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 83.02/12.03 | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | DELTA: instantiating (487) with fresh symbols all_142_0,
% 83.02/12.03 | | | | | | | | | | all_142_1, all_142_2 gives:
% 83.02/12.03 | | | | | | | | | | (488) apply(all_32_5, all_48_2, all_48_0) = all_142_0 &
% 83.02/12.03 | | | | | | | | | | member(all_96_3, all_32_2) = all_142_1 &
% 83.02/12.03 | | | | | | | | | | member(all_48_2, all_32_3) = all_142_2 & ( ~
% 83.02/12.03 | | | | | | | | | | (all_142_0 = 0) | ~ (all_142_1 = 0) | ~
% 83.02/12.03 | | | | | | | | | | (all_142_2 = 0))
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | ALPHA: (488) implies:
% 83.02/12.03 | | | | | | | | | | (489) member(all_48_2, all_32_3) = all_142_2
% 83.02/12.03 | | | | | | | | | | (490) member(all_96_3, all_32_2) = all_142_1
% 83.02/12.03 | | | | | | | | | | (491) apply(all_32_5, all_48_2, all_48_0) = all_142_0
% 83.02/12.03 | | | | | | | | | | (492) ~ (all_142_0 = 0) | ~ (all_142_1 = 0) | ~
% 83.02/12.03 | | | | | | | | | | (all_142_2 = 0)
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | BETA: splitting (201) gives:
% 83.02/12.03 | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | (493) all_94_3 = all_48_0
% 83.02/12.03 | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | REDUCE: (122), (493) imply:
% 83.02/12.03 | | | | | | | | | | | (494) apply(all_32_4, all_48_0, all_48_1) = 0
% 83.02/12.03 | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | BETA: splitting (189) gives:
% 83.02/12.03 | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | (495) all_96_3 = all_94_3
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | COMBINE_EQS: (493), (495) imply:
% 83.02/12.03 | | | | | | | | | | | | (496) all_96_3 = all_48_0
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | REDUCE: (486), (496) imply:
% 83.02/12.03 | | | | | | | | | | | | (497) $false
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | CLOSE: (497) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | (498) ~ (all_96_3 = all_94_3)
% 83.02/12.03 | | | | | | | | | | | | (499) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.03 | | | | | | | | | | | | all_48_2, all_96_3) = v0 & apply(all_32_5,
% 83.02/12.03 | | | | | | | | | | | | all_48_2, all_94_3) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.03 | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | DELTA: instantiating (499) with fresh symbols all_152_0,
% 83.02/12.03 | | | | | | | | | | | | all_152_1 gives:
% 83.02/12.03 | | | | | | | | | | | | (500) apply(all_32_5, all_48_2, all_96_3) = all_152_1 &
% 83.02/12.03 | | | | | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = all_152_0 &
% 83.02/12.03 | | | | | | | | | | | | ( ~ (all_152_0 = 0) | ~ (all_152_1 = 0))
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | ALPHA: (500) implies:
% 83.02/12.03 | | | | | | | | | | | | (501) apply(all_32_5, all_48_2, all_94_3) = all_152_0
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | REDUCE: (493), (501) imply:
% 83.02/12.03 | | | | | | | | | | | | (502) apply(all_32_5, all_48_2, all_48_0) = all_152_0
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | BETA: splitting (212) gives:
% 83.02/12.03 | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | (503) all_48_1 = all_48_2
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | REDUCE: (27), (503) imply:
% 83.02/12.03 | | | | | | | | | | | | | (504) $false
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | CLOSE: (504) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | (505) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.03 | | | | | | | | | | | | | (apply(all_32_4, all_96_3, all_48_1) = v2 &
% 83.02/12.03 | | | | | | | | | | | | | member(all_96_3, all_32_2) = v0 &
% 83.02/12.03 | | | | | | | | | | | | | member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) |
% 83.02/12.03 | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | DELTA: instantiating (505) with fresh symbols all_167_0,
% 83.02/12.03 | | | | | | | | | | | | | all_167_1, all_167_2 gives:
% 83.02/12.03 | | | | | | | | | | | | | (506) apply(all_32_4, all_96_3, all_48_1) = all_167_0 &
% 83.02/12.03 | | | | | | | | | | | | | member(all_96_3, all_32_2) = all_167_2 &
% 83.02/12.03 | | | | | | | | | | | | | member(all_48_2, all_32_3) = all_167_1 & ( ~
% 83.02/12.03 | | | | | | | | | | | | | (all_167_0 = 0) | ~ (all_167_1 = 0) | ~
% 83.02/12.03 | | | | | | | | | | | | | (all_167_2 = 0))
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | ALPHA: (506) implies:
% 83.02/12.03 | | | | | | | | | | | | | (507) member(all_48_2, all_32_3) = all_167_1
% 83.02/12.03 | | | | | | | | | | | | | (508) member(all_96_3, all_32_2) = all_167_2
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 83.02/12.03 | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | Case 1:
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | (509) all_96_3 = all_94_3
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | COMBINE_EQS: (493), (509) imply:
% 83.02/12.03 | | | | | | | | | | | | | | (510) all_96_3 = all_48_0
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | REDUCE: (486), (510) imply:
% 83.02/12.03 | | | | | | | | | | | | | | (511) $false
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | | CLOSE: (511) is inconsistent.
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.03 | | | | | | | | | | | | | Case 2:
% 83.02/12.03 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | (512) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.04 | | | | | | | | | | | | | | (apply(all_32_5, all_48_2, all_94_3) = v2 &
% 83.02/12.04 | | | | | | | | | | | | | | member(all_96_3, all_32_2) = v1 &
% 83.02/12.04 | | | | | | | | | | | | | | member(all_48_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 83.02/12.04 | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.04 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | DELTA: instantiating (512) with fresh symbols all_231_0,
% 83.02/12.04 | | | | | | | | | | | | | | all_231_1, all_231_2 gives:
% 83.02/12.04 | | | | | | | | | | | | | | (513) apply(all_32_5, all_48_2, all_94_3) = all_231_0 &
% 83.02/12.04 | | | | | | | | | | | | | | member(all_96_3, all_32_2) = all_231_1 &
% 83.02/12.04 | | | | | | | | | | | | | | member(all_48_2, all_32_3) = all_231_2 & ( ~
% 83.02/12.04 | | | | | | | | | | | | | | (all_231_0 = 0) | ~ (all_231_1 = 0) | ~
% 83.02/12.04 | | | | | | | | | | | | | | (all_231_2 = 0))
% 83.02/12.04 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | ALPHA: (513) implies:
% 83.02/12.04 | | | | | | | | | | | | | | (514) member(all_48_2, all_32_3) = all_231_2
% 83.02/12.04 | | | | | | | | | | | | | | (515) member(all_96_3, all_32_2) = all_231_1
% 83.02/12.04 | | | | | | | | | | | | | | (516) apply(all_32_5, all_48_2, all_94_3) = all_231_0
% 83.02/12.04 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | REDUCE: (493), (516) imply:
% 83.02/12.04 | | | | | | | | | | | | | | (517) apply(all_32_5, all_48_2, all_48_0) = all_231_0
% 83.02/12.04 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 83.02/12.04 | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | (518) all_96_3 = all_94_3
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | COMBINE_EQS: (493), (518) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | (519) all_96_3 = all_48_0
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | REDUCE: (486), (519) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | (520) $false
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | CLOSE: (520) is inconsistent.
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | Case 2:
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | (521) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.04 | | | | | | | | | | | | | | | all_48_2, all_96_3) = v1 & apply(all_32_5,
% 83.02/12.04 | | | | | | | | | | | | | | | all_48_2, all_94_3) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.04 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | DELTA: instantiating (521) with fresh symbols all_237_0,
% 83.02/12.04 | | | | | | | | | | | | | | | all_237_1 gives:
% 83.02/12.04 | | | | | | | | | | | | | | | (522) apply(all_32_5, all_48_2, all_96_3) = all_237_0 &
% 83.02/12.04 | | | | | | | | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = all_237_1 &
% 83.02/12.04 | | | | | | | | | | | | | | | ( ~ (all_237_0 = 0) | ~ (all_237_1 = 0))
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | ALPHA: (522) implies:
% 83.02/12.04 | | | | | | | | | | | | | | | (523) apply(all_32_5, all_48_2, all_94_3) = all_237_1
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | REDUCE: (493), (523) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | (524) apply(all_32_5, all_48_2, all_48_0) = all_237_1
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 83.02/12.04 | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | (525) all_90_0 = all_56_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | (526) all_88_0 = all_56_0
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (27), (34), (35), (46), (59), (60), (61),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (70), (71), (72), (73), (75), (76), (77), (78),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (83), (84), (85), (86), (91), (92), (106), (113),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (117), (118), (124), (127), (128), (129), (130),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (131), (132), (134), (135), (136), (137), (140),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (141), (142), (143), (144), (145), (147), (149),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (150), (151), (153), (154), (155), (156), (157),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (158), (162), (163), (164), (165), (166), (167),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (168), (169), (174), (183), (184), (185), (186),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (187), (188), (189), (190), (191), (192), (193),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (196), (204), (207), (208), (210), (212), (493),
% 83.02/12.04 | | | | | | | | | | | | | | | | | (494), (525), (526) are inconsistent by sub-proof
% 83.02/12.04 | | | | | | | | | | | | | | | | | #6.
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | (527) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.04 | | | | | | | | | | | | | | | | | all_94_3, all_88_0) = v0 & apply(all_32_4,
% 83.02/12.04 | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.04 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | DELTA: instantiating (527) with fresh symbols all_241_0,
% 83.02/12.04 | | | | | | | | | | | | | | | | | all_241_1 gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | | (528) apply(all_32_4, all_94_3, all_88_0) = all_241_1 &
% 83.02/12.04 | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_56_0) = all_241_0 &
% 83.02/12.04 | | | | | | | | | | | | | | | | | ( ~ (all_241_0 = 0) | ~ (all_241_1 = 0))
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 83.02/12.04 | | | | | | | | | | | | | | | | | (529) apply(all_32_4, all_94_3, all_56_0) = all_241_0
% 83.02/12.04 | | | | | | | | | | | | | | | | | (530) apply(all_32_4, all_94_3, all_88_0) = all_241_1
% 83.02/12.04 | | | | | | | | | | | | | | | | | (531) ~ (all_241_0 = 0) | ~ (all_241_1 = 0)
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | REDUCE: (493), (530) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | (532) apply(all_32_4, all_48_0, all_88_0) = all_241_1
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | REDUCE: (493), (529) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | (533) apply(all_32_4, all_48_0, all_56_0) = all_241_0
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (534) all_96_3 = all_94_3
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (534) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (535) all_96_3 = all_48_0
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | REDUCE: (486), (535) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (536) $false
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | CLOSE: (536) is inconsistent.
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_241_0, all_56_0,
% 83.02/12.04 | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (46), (533)
% 83.02/12.04 | | | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (537) all_241_0 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_241_1, all_88_0,
% 83.02/12.04 | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (114), (532)
% 83.02/12.04 | | | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (538) all_241_1 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_136_0, all_241_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | | | all_88_0, all_48_0, all_32_4, simplifying with
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (312), (532) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (539) all_241_1 = all_136_0
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (539) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | (540) all_136_0 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | (541) ~ (all_241_0 = 0)
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | REDUCE: (537), (541) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | (542) $false
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | (543) ~ (all_241_1 = 0)
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | REDUCE: (538), (543) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | (544) $false
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent.
% 83.02/12.04 | | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | | End of split
% 83.02/12.04 | | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | | End of split
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | End of split
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | Case 2:
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_231_2, all_32_3,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_48_2, simplifying with (31), (514) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (545) all_231_2 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_167_1, all_231_2,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_32_3, all_48_2, simplifying with (507), (514)
% 83.02/12.04 | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (546) all_231_2 = all_167_1
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_142_2, all_231_2,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_32_3, all_48_2, simplifying with (489), (514)
% 83.02/12.04 | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (547) all_231_2 = all_142_2
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_231_1, all_32_2,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_96_3, simplifying with (116), (515) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (548) all_231_1 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_167_2, all_231_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_32_2, all_96_3, simplifying with (508), (515)
% 83.02/12.04 | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (549) all_231_1 = all_167_2
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_142_1, all_231_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_32_2, all_96_3, simplifying with (490), (515)
% 83.02/12.04 | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (550) all_231_1 = all_142_1
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_152_0, all_48_0,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_48_2, all_32_5, simplifying with (34), (502)
% 83.02/12.04 | | | | | | | | | | | | | | | | gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (551) all_152_0 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_231_0, all_237_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.02/12.04 | | | | | | | | | | | | | | | | (517), (524) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (552) all_237_1 = all_231_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_152_0, all_237_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.02/12.04 | | | | | | | | | | | | | | | | (502), (524) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (553) all_237_1 = all_152_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_142_0, all_237_1,
% 83.02/12.04 | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.02/12.04 | | | | | | | | | | | | | | | | (491), (524) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | | (554) all_237_1 = all_142_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (554) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (555) all_231_0 = all_142_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (553) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (556) all_231_0 = all_152_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (556) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (557) all_152_0 = all_142_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | SIMP: (557) implies:
% 83.02/12.04 | | | | | | | | | | | | | | | | (558) all_152_0 = all_142_0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (549) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (559) all_167_2 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (550) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (560) all_167_2 = all_142_1
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (546) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (561) all_167_1 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (547) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (562) all_167_1 = all_142_2
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (562) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (563) all_142_2 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (560) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (564) all_142_1 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | SIMP: (564) implies:
% 83.02/12.04 | | | | | | | | | | | | | | | | (565) all_142_1 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (558) imply:
% 83.02/12.04 | | | | | | | | | | | | | | | | (566) all_142_0 = 0
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 83.02/12.04 | | | | | | | | | | | | | | | |
% 83.02/12.04 | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.04 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | (567) ~ (all_142_0 = 0)
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | REDUCE: (566), (567) imply:
% 83.02/12.05 | | | | | | | | | | | | | | | | | (568) $false
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | CLOSE: (568) is inconsistent.
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | (569) ~ (all_142_1 = 0) | ~ (all_142_2 = 0)
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | BETA: splitting (569) gives:
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | (570) ~ (all_142_1 = 0)
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | REDUCE: (565), (570) imply:
% 83.02/12.05 | | | | | | | | | | | | | | | | | | (571) $false
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent.
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | (572) ~ (all_142_2 = 0)
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | REDUCE: (563), (572) imply:
% 83.02/12.05 | | | | | | | | | | | | | | | | | | (573) $false
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | | CLOSE: (573) is inconsistent.
% 83.02/12.05 | | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | (574) ~ (all_94_3 = all_48_0)
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | REF_CLOSE: (9), (34), (117), (160), (161), (182), (486),
% 83.02/12.05 | | | | | | | | | | | (574) are inconsistent by sub-proof #3.
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | End of split
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | (575) ~ (all_60_0 = all_58_0)
% 83.02/12.05 | | | | | | | | (576) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.05 | | | | | | | | (apply(all_32_5, all_48_2, all_58_0) = v2 &
% 83.02/12.05 | | | | | | | | member(all_60_0, all_32_2) = v1 & member(all_48_2,
% 83.02/12.05 | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.05 | | | | | | | | (v0 = 0)))
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | DELTA: instantiating (576) with fresh symbols all_114_0,
% 83.02/12.05 | | | | | | | | all_114_1, all_114_2 gives:
% 83.02/12.05 | | | | | | | | (577) apply(all_32_5, all_48_2, all_58_0) = all_114_0 &
% 83.02/12.05 | | | | | | | | member(all_60_0, all_32_2) = all_114_1 &
% 83.02/12.05 | | | | | | | | member(all_48_2, all_32_3) = all_114_2 & ( ~ (all_114_0
% 83.02/12.05 | | | | | | | | = 0) | ~ (all_114_1 = 0) | ~ (all_114_2 = 0))
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | ALPHA: (577) implies:
% 83.02/12.05 | | | | | | | | (578) member(all_48_2, all_32_3) = all_114_2
% 83.02/12.05 | | | | | | | | (579) member(all_60_0, all_32_2) = all_114_1
% 83.02/12.05 | | | | | | | | (580) apply(all_32_5, all_48_2, all_58_0) = all_114_0
% 83.02/12.05 | | | | | | | | (581) ~ (all_114_0 = 0) | ~ (all_114_1 = 0) | ~ (all_114_2
% 83.02/12.05 | | | | | | | | = 0)
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | REDUCE: (113), (575) imply:
% 83.02/12.05 | | | | | | | | (582) ~ (all_60_0 = all_48_0)
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | REDUCE: (113), (580) imply:
% 83.02/12.05 | | | | | | | | (583) apply(all_32_5, all_48_2, all_48_0) = all_114_0
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | BETA: splitting (88) gives:
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | (584) all_60_0 = all_48_0
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | REDUCE: (582), (584) imply:
% 83.02/12.05 | | | | | | | | | (585) $false
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | CLOSE: (585) is inconsistent.
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | (586) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.05 | | | | | | | | | (apply(all_32_5, all_48_2, all_60_0) = v2 &
% 83.02/12.05 | | | | | | | | | member(all_48_0, all_32_2) = v1 & member(all_48_2,
% 83.02/12.05 | | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.05 | | | | | | | | | (v0 = 0)))
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | DELTA: instantiating (586) with fresh symbols all_120_0,
% 83.02/12.05 | | | | | | | | | all_120_1, all_120_2 gives:
% 83.02/12.05 | | | | | | | | | (587) apply(all_32_5, all_48_2, all_60_0) = all_120_0 &
% 83.02/12.05 | | | | | | | | | member(all_48_0, all_32_2) = all_120_1 &
% 83.02/12.05 | | | | | | | | | member(all_48_2, all_32_3) = all_120_2 & ( ~
% 83.02/12.05 | | | | | | | | | (all_120_0 = 0) | ~ (all_120_1 = 0) | ~
% 83.02/12.05 | | | | | | | | | (all_120_2 = 0))
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | ALPHA: (587) implies:
% 83.02/12.05 | | | | | | | | | (588) member(all_48_2, all_32_3) = all_120_2
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | BETA: splitting (89) gives:
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | (589) all_60_0 = all_48_0
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | REDUCE: (582), (589) imply:
% 83.02/12.05 | | | | | | | | | | (590) $false
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | CLOSE: (590) is inconsistent.
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_120_2, all_32_3,
% 83.02/12.05 | | | | | | | | | | all_48_2, simplifying with (31), (588) gives:
% 83.02/12.05 | | | | | | | | | | (591) all_120_2 = 0
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | GROUND_INST: instantiating (8) with all_114_2, all_120_2,
% 83.02/12.05 | | | | | | | | | | all_32_3, all_48_2, simplifying with (578), (588)
% 83.02/12.05 | | | | | | | | | | gives:
% 83.02/12.05 | | | | | | | | | | (592) all_120_2 = all_114_2
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_114_1, all_32_2,
% 83.02/12.05 | | | | | | | | | | all_60_0, simplifying with (53), (579) gives:
% 83.02/12.05 | | | | | | | | | | (593) all_114_1 = 0
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_114_0, all_48_0,
% 83.02/12.05 | | | | | | | | | | all_48_2, all_32_5, simplifying with (34), (583)
% 83.02/12.05 | | | | | | | | | | gives:
% 83.02/12.05 | | | | | | | | | | (594) all_114_0 = 0
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | COMBINE_EQS: (591), (592) imply:
% 83.02/12.05 | | | | | | | | | | (595) all_114_2 = 0
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | BETA: splitting (581) gives:
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | (596) ~ (all_114_0 = 0)
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | REDUCE: (594), (596) imply:
% 83.02/12.05 | | | | | | | | | | | (597) $false
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | CLOSE: (597) is inconsistent.
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | (598) ~ (all_114_1 = 0) | ~ (all_114_2 = 0)
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | BETA: splitting (598) gives:
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | (599) ~ (all_114_1 = 0)
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | REDUCE: (593), (599) imply:
% 83.02/12.05 | | | | | | | | | | | | (600) $false
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | CLOSE: (600) is inconsistent.
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | (601) ~ (all_114_2 = 0)
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | REDUCE: (595), (601) imply:
% 83.02/12.05 | | | | | | | | | | | | (602) $false
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | | CLOSE: (602) is inconsistent.
% 83.02/12.05 | | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | | |
% 83.02/12.05 | | | | | | | | | End of split
% 83.02/12.05 | | | | | | | | |
% 83.02/12.05 | | | | | | | | End of split
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | End of split
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | Case 2:
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | (603) member(all_48_1, all_32_3) = all_94_4 & member(all_48_1,
% 83.02/12.05 | | | | | | | all_32_3) = all_94_5 & ( ~ (all_94_4 = 0) | ~
% 83.02/12.05 | | | | | | | (all_94_5 = 0))
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | ALPHA: (603) implies:
% 83.02/12.05 | | | | | | | (604) member(all_48_1, all_32_3) = all_94_5
% 83.02/12.05 | | | | | | | (605) member(all_48_1, all_32_3) = all_94_4
% 83.02/12.05 | | | | | | | (606) ~ (all_94_4 = 0) | ~ (all_94_5 = 0)
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | GROUND_INST: instantiating (8) with 0, all_94_4, all_32_3,
% 83.02/12.05 | | | | | | | all_48_1, simplifying with (32), (605) gives:
% 83.02/12.05 | | | | | | | (607) all_94_4 = 0
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | GROUND_INST: instantiating (8) with all_94_5, all_94_4, all_32_3,
% 83.02/12.05 | | | | | | | all_48_1, simplifying with (604), (605) gives:
% 83.02/12.05 | | | | | | | (608) all_94_4 = all_94_5
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | COMBINE_EQS: (607), (608) imply:
% 83.02/12.05 | | | | | | | (609) all_94_5 = 0
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | BETA: splitting (606) gives:
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | Case 1:
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | (610) ~ (all_94_4 = 0)
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | REDUCE: (607), (610) imply:
% 83.02/12.05 | | | | | | | | (611) $false
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | CLOSE: (611) is inconsistent.
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | Case 2:
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | (612) ~ (all_94_5 = 0)
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | REDUCE: (609), (612) imply:
% 83.02/12.05 | | | | | | | | (613) $false
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | | CLOSE: (613) is inconsistent.
% 83.02/12.05 | | | | | | | |
% 83.02/12.05 | | | | | | | End of split
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | End of split
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | Case 2:
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | (614) member(all_48_2, all_32_3) = all_96_4 & member(all_48_2,
% 83.02/12.05 | | | | | | all_32_3) = all_96_5 & ( ~ (all_96_4 = 0) | ~ (all_96_5
% 83.02/12.05 | | | | | | = 0))
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | ALPHA: (614) implies:
% 83.02/12.05 | | | | | | (615) member(all_48_2, all_32_3) = all_96_5
% 83.02/12.05 | | | | | | (616) member(all_48_2, all_32_3) = all_96_4
% 83.02/12.05 | | | | | | (617) ~ (all_96_4 = 0) | ~ (all_96_5 = 0)
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | GROUND_INST: instantiating (8) with 0, all_96_4, all_32_3, all_48_2,
% 83.02/12.05 | | | | | | simplifying with (31), (616) gives:
% 83.02/12.05 | | | | | | (618) all_96_4 = 0
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | GROUND_INST: instantiating (8) with all_96_5, all_96_4, all_32_3,
% 83.02/12.05 | | | | | | all_48_2, simplifying with (615), (616) gives:
% 83.02/12.05 | | | | | | (619) all_96_4 = all_96_5
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | COMBINE_EQS: (618), (619) imply:
% 83.02/12.05 | | | | | | (620) all_96_5 = 0
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | BETA: splitting (617) gives:
% 83.02/12.05 | | | | | |
% 83.02/12.05 | | | | | | Case 1:
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | (621) ~ (all_96_4 = 0)
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | REDUCE: (618), (621) imply:
% 83.02/12.05 | | | | | | | (622) $false
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | CLOSE: (622) is inconsistent.
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | Case 2:
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | (623) ~ (all_96_5 = 0)
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | REDUCE: (620), (623) imply:
% 83.02/12.05 | | | | | | | (624) $false
% 83.02/12.05 | | | | | | |
% 83.02/12.05 | | | | | | | CLOSE: (624) is inconsistent.
% 83.02/12.05 | | | | | | |
% 83.02/12.06 | | | | | | End of split
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | End of split
% 83.02/12.06 | | | | |
% 83.02/12.06 | | | | Case 2:
% 83.02/12.06 | | | | |
% 83.02/12.06 | | | | | (625) ~ (all_58_0 = all_48_0)
% 83.02/12.06 | | | | |
% 83.02/12.06 | | | | | BETA: splitting (81) gives:
% 83.02/12.06 | | | | |
% 83.02/12.06 | | | | | Case 1:
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | (626) all_58_0 = all_48_0
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | REDUCE: (625), (626) imply:
% 83.02/12.06 | | | | | | (627) $false
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | CLOSE: (627) is inconsistent.
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | Case 2:
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | (628) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_1,
% 83.02/12.06 | | | | | | all_58_0) = v1 & apply(all_32_5, all_48_1, all_48_0) =
% 83.02/12.06 | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | DELTA: instantiating (628) with fresh symbols all_108_0, all_108_1
% 83.02/12.06 | | | | | | gives:
% 83.02/12.06 | | | | | | (629) apply(all_32_5, all_48_1, all_58_0) = all_108_0 &
% 83.02/12.06 | | | | | | apply(all_32_5, all_48_1, all_48_0) = all_108_1 & ( ~
% 83.02/12.06 | | | | | | (all_108_0 = 0) | ~ (all_108_1 = 0))
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | ALPHA: (629) implies:
% 83.02/12.06 | | | | | | (630) apply(all_32_5, all_48_1, all_48_0) = all_108_1
% 83.02/12.06 | | | | | | (631) apply(all_32_5, all_48_1, all_58_0) = all_108_0
% 83.02/12.06 | | | | | | (632) ~ (all_108_0 = 0) | ~ (all_108_1 = 0)
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | BETA: splitting (82) gives:
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | | Case 1:
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | (633) all_58_0 = all_48_0
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | REDUCE: (625), (633) imply:
% 83.02/12.06 | | | | | | | (634) $false
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | CLOSE: (634) is inconsistent.
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | Case 2:
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | GROUND_INST: instantiating (9) with 0, all_108_1, all_48_0,
% 83.02/12.06 | | | | | | | all_48_1, all_32_5, simplifying with (35), (630)
% 83.02/12.06 | | | | | | | gives:
% 83.02/12.06 | | | | | | | (635) all_108_1 = 0
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | GROUND_INST: instantiating (9) with 0, all_108_0, all_58_0,
% 83.02/12.06 | | | | | | | all_48_1, all_32_5, simplifying with (50), (631)
% 83.02/12.06 | | | | | | | gives:
% 83.02/12.06 | | | | | | | (636) all_108_0 = 0
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | BETA: splitting (632) gives:
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | | Case 1:
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | (637) ~ (all_108_0 = 0)
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | REDUCE: (636), (637) imply:
% 83.02/12.06 | | | | | | | | (638) $false
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | CLOSE: (638) is inconsistent.
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | Case 2:
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | (639) ~ (all_108_1 = 0)
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | REDUCE: (635), (639) imply:
% 83.02/12.06 | | | | | | | | (640) $false
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | | CLOSE: (640) is inconsistent.
% 83.02/12.06 | | | | | | | |
% 83.02/12.06 | | | | | | | End of split
% 83.02/12.06 | | | | | | |
% 83.02/12.06 | | | | | | End of split
% 83.02/12.06 | | | | | |
% 83.02/12.06 | | | | | End of split
% 83.02/12.06 | | | | |
% 83.02/12.06 | | | | End of split
% 83.02/12.06 | | | |
% 83.02/12.06 | | | End of split
% 83.02/12.06 | | |
% 83.02/12.06 | | End of split
% 83.02/12.06 | |
% 83.02/12.06 | End of split
% 83.02/12.06 |
% 83.02/12.06 End of proof
% 83.02/12.06
% 83.02/12.06 Sub-proof #1 shows that the following formulas are inconsistent:
% 83.02/12.06 ----------------------------------------------------------------
% 83.02/12.06 (1) apply(all_32_4, all_48_0, all_48_1) = all_71_1
% 83.02/12.06 (2) apply(all_32_4, all_48_0, all_48_1) = all_155_1
% 83.02/12.06 (3) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_94_3, all_56_0) = v1 & apply(all_32_4, all_94_3, all_48_2) = v0 &
% 83.02/12.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (4) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_2) = v1 &
% 83.02/12.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (5) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_2) = v0 &
% 83.02/12.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (6) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_2) = v1 &
% 83.02/12.06 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (7) apply(all_32_4, all_48_0, all_48_2) = 0
% 83.02/12.06 (8) all_60_0 = all_48_0
% 83.02/12.06 (9) ~ (all_48_1 = all_48_2)
% 83.02/12.06 (10) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.02/12.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (11) apply(all_32_4, all_48_0, all_48_2) = all_155_0
% 83.02/12.06 (12) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 83.02/12.06 (13) apply(all_32_4, all_48_0, all_48_1) = 0
% 83.02/12.06 (14) apply(all_32_4, all_48_0, all_48_2) = all_160_1
% 83.02/12.06 (15) all_58_0 = all_48_0
% 83.02/12.06 (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.02/12.06 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.02/12.06 (apply(v4, v3, v2) = v0))
% 83.02/12.06 (17) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.06 (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_56_0, all_32_3) =
% 83.02/12.06 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.06 (v0 = 0)))
% 83.02/12.06 (18) all_94_3 = all_48_0
% 83.02/12.06 (19) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_94_3, all_56_0) = v0 & apply(all_32_4, all_94_3, all_48_2) = v1
% 83.02/12.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (20) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_2) = v0
% 83.02/12.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (21) all_56_0 = all_48_1
% 83.02/12.06 (22) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.06 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.06 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.06 (23) ~ (all_71_0 = 0) | ~ (all_71_1 = 0)
% 83.02/12.06 (24) apply(all_32_4, all_48_0, all_48_1) = all_160_0
% 83.02/12.06
% 83.02/12.06 Begin of proof
% 83.02/12.06 |
% 83.02/12.06 | BETA: splitting (5) gives:
% 83.02/12.06 |
% 83.02/12.06 | Case 1:
% 83.02/12.06 | |
% 83.02/12.06 | | (25) all_56_0 = all_48_2
% 83.02/12.06 | |
% 83.02/12.06 | | COMBINE_EQS: (21), (25) imply:
% 83.02/12.06 | | (26) all_48_1 = all_48_2
% 83.02/12.06 | |
% 83.02/12.06 | | SIMP: (26) implies:
% 83.02/12.06 | | (27) all_48_1 = all_48_2
% 83.02/12.06 | |
% 83.02/12.06 | | REDUCE: (9), (27) imply:
% 83.02/12.06 | | (28) $false
% 83.02/12.06 | |
% 83.02/12.06 | | CLOSE: (28) is inconsistent.
% 83.02/12.06 | |
% 83.02/12.06 | Case 2:
% 83.02/12.06 | |
% 83.02/12.06 | | (29) ~ (all_56_0 = all_48_2)
% 83.02/12.06 | | (30) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0, all_56_0) =
% 83.02/12.06 | | v1 & apply(all_32_4, all_58_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.06 | | (v0 = 0)))
% 83.02/12.06 | |
% 83.02/12.06 | | DELTA: instantiating (30) with fresh symbols all_200_0, all_200_1 gives:
% 83.02/12.06 | | (31) apply(all_32_4, all_58_0, all_56_0) = all_200_0 & apply(all_32_4,
% 83.02/12.06 | | all_58_0, all_48_2) = all_200_1 & ( ~ (all_200_0 = 0) | ~
% 83.02/12.06 | | (all_200_1 = 0))
% 83.02/12.06 | |
% 83.02/12.06 | | ALPHA: (31) implies:
% 83.02/12.06 | | (32) apply(all_32_4, all_58_0, all_48_2) = all_200_1
% 83.02/12.06 | | (33) apply(all_32_4, all_58_0, all_56_0) = all_200_0
% 83.02/12.06 | |
% 83.02/12.06 | | REDUCE: (15), (21), (33) imply:
% 83.02/12.06 | | (34) apply(all_32_4, all_48_0, all_48_1) = all_200_0
% 83.02/12.06 | |
% 83.02/12.06 | | REDUCE: (15), (32) imply:
% 83.02/12.06 | | (35) apply(all_32_4, all_48_0, all_48_2) = all_200_1
% 83.02/12.06 | |
% 83.02/12.06 | | BETA: splitting (22) gives:
% 83.02/12.06 | |
% 83.02/12.06 | | Case 1:
% 83.02/12.06 | | |
% 83.02/12.07 | | | (36) all_56_0 = all_48_2
% 83.02/12.07 | | |
% 83.02/12.07 | | | COMBINE_EQS: (21), (36) imply:
% 83.02/12.07 | | | (37) all_48_1 = all_48_2
% 83.02/12.07 | | |
% 83.02/12.07 | | | SIMP: (37) implies:
% 83.02/12.07 | | | (38) all_48_1 = all_48_2
% 83.02/12.07 | | |
% 83.02/12.07 | | | REDUCE: (9), (38) imply:
% 83.02/12.07 | | | (39) $false
% 83.02/12.07 | | |
% 83.02/12.07 | | | CLOSE: (39) is inconsistent.
% 83.02/12.07 | | |
% 83.02/12.07 | | Case 2:
% 83.02/12.07 | | |
% 83.02/12.07 | | | (40) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0, all_56_0)
% 83.02/12.07 | | | = v0 & apply(all_32_4, all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) |
% 83.02/12.07 | | | ~ (v0 = 0)))
% 83.02/12.07 | | |
% 83.02/12.07 | | | DELTA: instantiating (40) with fresh symbols all_216_0, all_216_1 gives:
% 83.02/12.07 | | | (41) apply(all_32_4, all_48_0, all_56_0) = all_216_1 & apply(all_32_4,
% 83.02/12.07 | | | all_48_0, all_48_2) = all_216_0 & ( ~ (all_216_0 = 0) | ~
% 83.02/12.07 | | | (all_216_1 = 0))
% 83.02/12.07 | | |
% 83.02/12.07 | | | ALPHA: (41) implies:
% 83.02/12.07 | | | (42) apply(all_32_4, all_48_0, all_48_2) = all_216_0
% 83.02/12.07 | | | (43) apply(all_32_4, all_48_0, all_56_0) = all_216_1
% 83.02/12.07 | | |
% 83.02/12.07 | | | REDUCE: (21), (43) imply:
% 83.02/12.07 | | | (44) apply(all_32_4, all_48_0, all_48_1) = all_216_1
% 83.02/12.07 | | |
% 83.02/12.07 | | | BETA: splitting (4) gives:
% 83.02/12.07 | | |
% 83.02/12.07 | | | Case 1:
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | (45) all_56_0 = all_48_2
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | COMBINE_EQS: (21), (45) imply:
% 83.02/12.07 | | | | (46) all_48_1 = all_48_2
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | SIMP: (46) implies:
% 83.02/12.07 | | | | (47) all_48_1 = all_48_2
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | REDUCE: (9), (47) imply:
% 83.02/12.07 | | | | (48) $false
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | CLOSE: (48) is inconsistent.
% 83.02/12.07 | | | |
% 83.02/12.07 | | | Case 2:
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | (49) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0,
% 83.02/12.07 | | | | all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_2) = v1 &
% 83.02/12.07 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | DELTA: instantiating (49) with fresh symbols all_222_0, all_222_1 gives:
% 83.02/12.07 | | | | (50) apply(all_32_4, all_58_0, all_56_0) = all_222_1 &
% 83.02/12.07 | | | | apply(all_32_4, all_58_0, all_48_2) = all_222_0 & ( ~ (all_222_0
% 83.02/12.07 | | | | = 0) | ~ (all_222_1 = 0))
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | ALPHA: (50) implies:
% 83.02/12.07 | | | | (51) apply(all_32_4, all_58_0, all_48_2) = all_222_0
% 83.02/12.07 | | | | (52) apply(all_32_4, all_58_0, all_56_0) = all_222_1
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | REDUCE: (15), (21), (52) imply:
% 83.02/12.07 | | | | (53) apply(all_32_4, all_48_0, all_48_1) = all_222_1
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | REDUCE: (15), (51) imply:
% 83.02/12.07 | | | | (54) apply(all_32_4, all_48_0, all_48_2) = all_222_0
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | BETA: splitting (17) gives:
% 83.02/12.07 | | | |
% 83.02/12.07 | | | | Case 1:
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | (55) all_56_0 = all_48_2
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | COMBINE_EQS: (21), (55) imply:
% 83.02/12.07 | | | | | (56) all_48_1 = all_48_2
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | SIMP: (56) implies:
% 83.02/12.07 | | | | | (57) all_48_1 = all_48_2
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | REDUCE: (9), (57) imply:
% 83.02/12.07 | | | | | (58) $false
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | CLOSE: (58) is inconsistent.
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | Case 2:
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | (59) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_4,
% 83.02/12.07 | | | | | all_48_0, all_48_2) = v2 & member(all_56_0, all_32_3) = v1
% 83.02/12.07 | | | | | & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 =
% 83.02/12.07 | | | | | 0) | ~ (v0 = 0)))
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | DELTA: instantiating (59) with fresh symbols all_240_0, all_240_1,
% 83.02/12.07 | | | | | all_240_2 gives:
% 83.02/12.07 | | | | | (60) apply(all_32_4, all_48_0, all_48_2) = all_240_0 &
% 83.02/12.07 | | | | | member(all_56_0, all_32_3) = all_240_1 & member(all_48_0,
% 83.02/12.07 | | | | | all_32_2) = all_240_2 & ( ~ (all_240_0 = 0) | ~ (all_240_1
% 83.02/12.07 | | | | | = 0) | ~ (all_240_2 = 0))
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | ALPHA: (60) implies:
% 83.02/12.07 | | | | | (61) apply(all_32_4, all_48_0, all_48_2) = all_240_0
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | BETA: splitting (10) gives:
% 83.02/12.07 | | | | |
% 83.02/12.07 | | | | | Case 1:
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | (62) all_56_0 = all_48_2
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | COMBINE_EQS: (21), (62) imply:
% 83.02/12.07 | | | | | | (63) all_48_1 = all_48_2
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | SIMP: (63) implies:
% 83.02/12.07 | | | | | | (64) all_48_1 = all_48_2
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | REDUCE: (9), (64) imply:
% 83.02/12.07 | | | | | | (65) $false
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | CLOSE: (65) is inconsistent.
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | Case 2:
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | (66) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 83.02/12.07 | | | | | | all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_2) =
% 83.02/12.07 | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | DELTA: instantiating (66) with fresh symbols all_270_0, all_270_1
% 83.02/12.07 | | | | | | gives:
% 83.02/12.07 | | | | | | (67) apply(all_32_4, all_48_0, all_56_0) = all_270_0 &
% 83.02/12.07 | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_270_1 & ( ~
% 83.02/12.07 | | | | | | (all_270_0 = 0) | ~ (all_270_1 = 0))
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | ALPHA: (67) implies:
% 83.02/12.07 | | | | | | (68) apply(all_32_4, all_48_0, all_48_2) = all_270_1
% 83.02/12.07 | | | | | | (69) apply(all_32_4, all_48_0, all_56_0) = all_270_0
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | REDUCE: (21), (69) imply:
% 83.02/12.07 | | | | | | (70) apply(all_32_4, all_48_0, all_48_1) = all_270_0
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | BETA: splitting (3) gives:
% 83.02/12.07 | | | | | |
% 83.02/12.07 | | | | | | Case 1:
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | (71) all_56_0 = all_48_2
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | COMBINE_EQS: (21), (71) imply:
% 83.02/12.07 | | | | | | | (72) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | SIMP: (72) implies:
% 83.02/12.07 | | | | | | | (73) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | REDUCE: (9), (73) imply:
% 83.02/12.07 | | | | | | | (74) $false
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | CLOSE: (74) is inconsistent.
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | Case 2:
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | (75) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_94_3,
% 83.02/12.07 | | | | | | | all_56_0) = v1 & apply(all_32_4, all_94_3, all_48_2) =
% 83.02/12.07 | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | DELTA: instantiating (75) with fresh symbols all_288_0, all_288_1
% 83.02/12.07 | | | | | | | gives:
% 83.02/12.07 | | | | | | | (76) apply(all_32_4, all_94_3, all_56_0) = all_288_0 &
% 83.02/12.07 | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_288_1 & ( ~
% 83.02/12.07 | | | | | | | (all_288_0 = 0) | ~ (all_288_1 = 0))
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | ALPHA: (76) implies:
% 83.02/12.07 | | | | | | | (77) apply(all_32_4, all_94_3, all_48_2) = all_288_1
% 83.02/12.07 | | | | | | | (78) apply(all_32_4, all_94_3, all_56_0) = all_288_0
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | REDUCE: (18), (21), (78) imply:
% 83.02/12.07 | | | | | | | (79) apply(all_32_4, all_48_0, all_48_1) = all_288_0
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | REDUCE: (18), (77) imply:
% 83.02/12.07 | | | | | | | (80) apply(all_32_4, all_48_0, all_48_2) = all_288_1
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | BETA: splitting (19) gives:
% 83.02/12.07 | | | | | | |
% 83.02/12.07 | | | | | | | Case 1:
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | (81) all_56_0 = all_48_2
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | COMBINE_EQS: (21), (81) imply:
% 83.02/12.07 | | | | | | | | (82) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | SIMP: (82) implies:
% 83.02/12.07 | | | | | | | | (83) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | REDUCE: (9), (83) imply:
% 83.02/12.07 | | | | | | | | (84) $false
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | CLOSE: (84) is inconsistent.
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | Case 2:
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | (85) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_94_3,
% 83.02/12.07 | | | | | | | | all_56_0) = v0 & apply(all_32_4, all_94_3, all_48_2)
% 83.02/12.07 | | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | DELTA: instantiating (85) with fresh symbols all_294_0,
% 83.02/12.07 | | | | | | | | all_294_1 gives:
% 83.02/12.07 | | | | | | | | (86) apply(all_32_4, all_94_3, all_56_0) = all_294_1 &
% 83.02/12.07 | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_294_0 & ( ~
% 83.02/12.07 | | | | | | | | (all_294_0 = 0) | ~ (all_294_1 = 0))
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | ALPHA: (86) implies:
% 83.02/12.07 | | | | | | | | (87) apply(all_32_4, all_94_3, all_48_2) = all_294_0
% 83.02/12.07 | | | | | | | | (88) apply(all_32_4, all_94_3, all_56_0) = all_294_1
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | REDUCE: (18), (21), (88) imply:
% 83.02/12.07 | | | | | | | | (89) apply(all_32_4, all_48_0, all_48_1) = all_294_1
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | REDUCE: (18), (87) imply:
% 83.02/12.07 | | | | | | | | (90) apply(all_32_4, all_48_0, all_48_2) = all_294_0
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | BETA: splitting (20) gives:
% 83.02/12.07 | | | | | | | |
% 83.02/12.07 | | | | | | | | Case 1:
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | (91) all_56_0 = all_48_2
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | COMBINE_EQS: (21), (91) imply:
% 83.02/12.07 | | | | | | | | | (92) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | SIMP: (92) implies:
% 83.02/12.07 | | | | | | | | | (93) all_48_1 = all_48_2
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | REDUCE: (9), (93) imply:
% 83.02/12.07 | | | | | | | | | (94) $false
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | CLOSE: (94) is inconsistent.
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | Case 2:
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | (95) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.07 | | | | | | | | | all_60_0, all_56_0) = v1 & apply(all_32_4,
% 83.02/12.07 | | | | | | | | | all_60_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 83.02/12.07 | | | | | | | | | 0)))
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | DELTA: instantiating (95) with fresh symbols all_344_0,
% 83.02/12.07 | | | | | | | | | all_344_1 gives:
% 83.02/12.07 | | | | | | | | | (96) apply(all_32_4, all_60_0, all_56_0) = all_344_0 &
% 83.02/12.07 | | | | | | | | | apply(all_32_4, all_60_0, all_48_2) = all_344_1 & ( ~
% 83.02/12.07 | | | | | | | | | (all_344_0 = 0) | ~ (all_344_1 = 0))
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | ALPHA: (96) implies:
% 83.02/12.07 | | | | | | | | | (97) apply(all_32_4, all_60_0, all_48_2) = all_344_1
% 83.02/12.07 | | | | | | | | | (98) apply(all_32_4, all_60_0, all_56_0) = all_344_0
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | REDUCE: (8), (21), (98) imply:
% 83.02/12.07 | | | | | | | | | (99) apply(all_32_4, all_48_0, all_48_1) = all_344_0
% 83.02/12.07 | | | | | | | | |
% 83.02/12.07 | | | | | | | | | REDUCE: (8), (97) imply:
% 83.02/12.08 | | | | | | | | | (100) apply(all_32_4, all_48_0, all_48_2) = all_344_1
% 83.02/12.08 | | | | | | | | |
% 83.02/12.08 | | | | | | | | | BETA: splitting (6) gives:
% 83.02/12.08 | | | | | | | | |
% 83.02/12.08 | | | | | | | | | Case 1:
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | (101) all_56_0 = all_48_2
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (21), (101) imply:
% 83.02/12.08 | | | | | | | | | | (102) all_48_1 = all_48_2
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (102) implies:
% 83.02/12.08 | | | | | | | | | | (103) all_48_1 = all_48_2
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | REDUCE: (9), (103) imply:
% 83.02/12.08 | | | | | | | | | | (104) $false
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | CLOSE: (104) is inconsistent.
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | Case 2:
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | (105) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.08 | | | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 83.02/12.08 | | | | | | | | | | all_60_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.08 | | | | | | | | | | (v0 = 0)))
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | DELTA: instantiating (105) with fresh symbols all_356_0,
% 83.02/12.08 | | | | | | | | | | all_356_1 gives:
% 83.02/12.08 | | | | | | | | | | (106) apply(all_32_4, all_60_0, all_56_0) = all_356_1 &
% 83.02/12.08 | | | | | | | | | | apply(all_32_4, all_60_0, all_48_2) = all_356_0 & (
% 83.02/12.08 | | | | | | | | | | ~ (all_356_0 = 0) | ~ (all_356_1 = 0))
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | ALPHA: (106) implies:
% 83.02/12.08 | | | | | | | | | | (107) apply(all_32_4, all_60_0, all_48_2) = all_356_0
% 83.02/12.08 | | | | | | | | | | (108) apply(all_32_4, all_60_0, all_56_0) = all_356_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | REDUCE: (8), (21), (108) imply:
% 83.02/12.08 | | | | | | | | | | (109) apply(all_32_4, all_48_0, all_48_1) = all_356_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | REDUCE: (8), (107) imply:
% 83.02/12.08 | | | | | | | | | | (110) apply(all_32_4, all_48_0, all_48_2) = all_356_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_71_0, all_240_0,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (12), (61) gives:
% 83.02/12.08 | | | | | | | | | | (111) all_240_0 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_200_1, all_270_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (35), (68) gives:
% 83.02/12.08 | | | | | | | | | | (112) all_270_1 = all_200_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_155_0, all_288_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (11), (80) gives:
% 83.02/12.08 | | | | | | | | | | (113) all_288_1 = all_155_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_294_0, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (90), (100) gives:
% 83.02/12.08 | | | | | | | | | | (114) all_344_1 = all_294_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_288_1, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (80), (100) gives:
% 83.02/12.08 | | | | | | | | | | (115) all_344_1 = all_288_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_240_0, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (61), (100) gives:
% 83.02/12.08 | | | | | | | | | | (116) all_344_1 = all_240_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_222_0, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (54), (100) gives:
% 83.02/12.08 | | | | | | | | | | (117) all_344_1 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_216_0, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (42), (100) gives:
% 83.02/12.08 | | | | | | | | | | (118) all_344_1 = all_216_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_200_1, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (35), (100) gives:
% 83.02/12.08 | | | | | | | | | | (119) all_344_1 = all_200_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_160_1, all_344_1,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (14), (100) gives:
% 83.02/12.08 | | | | | | | | | | (120) all_344_1 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_270_1, all_356_0,
% 83.02/12.08 | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (68), (110) gives:
% 83.02/12.08 | | | | | | | | | | (121) all_356_0 = all_270_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_356_0, all_48_2,
% 83.02/12.08 | | | | | | | | | | all_48_0, all_32_4, simplifying with (7), (110)
% 83.02/12.08 | | | | | | | | | | gives:
% 83.02/12.08 | | | | | | | | | | (122) all_356_0 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_200_0, all_216_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (34), (44) gives:
% 83.02/12.08 | | | | | | | | | | (123) all_216_1 = all_200_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_155_1, all_216_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (2), (44) gives:
% 83.02/12.08 | | | | | | | | | | (124) all_216_1 = all_155_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with 0, all_216_1, all_48_1,
% 83.02/12.08 | | | | | | | | | | all_48_0, all_32_4, simplifying with (13), (44)
% 83.02/12.08 | | | | | | | | | | gives:
% 83.02/12.08 | | | | | | | | | | (125) all_216_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_71_1, all_270_0,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (1), (70) gives:
% 83.02/12.08 | | | | | | | | | | (126) all_270_0 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_270_0, all_294_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (70), (89) gives:
% 83.02/12.08 | | | | | | | | | | (127) all_294_1 = all_270_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_222_1, all_294_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (53), (89) gives:
% 83.02/12.08 | | | | | | | | | | (128) all_294_1 = all_222_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_200_0, all_294_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (34), (89) gives:
% 83.02/12.08 | | | | | | | | | | (129) all_294_1 = all_200_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_288_0, all_344_0,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (79), (99) gives:
% 83.02/12.08 | | | | | | | | | | (130) all_344_0 = all_288_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_200_0, all_344_0,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (34), (99) gives:
% 83.02/12.08 | | | | | | | | | | (131) all_344_0 = all_200_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_344_0, all_356_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (99), (109) gives:
% 83.02/12.08 | | | | | | | | | | (132) all_356_1 = all_344_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | GROUND_INST: instantiating (16) with all_160_0, all_356_1,
% 83.02/12.08 | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 83.02/12.08 | | | | | | | | | | (24), (109) gives:
% 83.02/12.08 | | | | | | | | | | (133) all_356_1 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (121), (122) imply:
% 83.02/12.08 | | | | | | | | | | (134) all_270_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (134) implies:
% 83.02/12.08 | | | | | | | | | | (135) all_270_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (132), (133) imply:
% 83.02/12.08 | | | | | | | | | | (136) all_344_0 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (136) implies:
% 83.02/12.08 | | | | | | | | | | (137) all_344_0 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (130), (137) imply:
% 83.02/12.08 | | | | | | | | | | (138) all_288_0 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (130), (131) imply:
% 83.02/12.08 | | | | | | | | | | (139) all_288_0 = all_200_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (118) imply:
% 83.02/12.08 | | | | | | | | | | (140) all_294_0 = all_216_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (116) imply:
% 83.02/12.08 | | | | | | | | | | (141) all_294_0 = all_240_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (117) imply:
% 83.02/12.08 | | | | | | | | | | (142) all_294_0 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (120) imply:
% 83.02/12.08 | | | | | | | | | | (143) all_294_0 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (119) imply:
% 83.02/12.08 | | | | | | | | | | (144) all_294_0 = all_200_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (114), (115) imply:
% 83.02/12.08 | | | | | | | | | | (145) all_294_0 = all_288_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (142), (145) imply:
% 83.02/12.08 | | | | | | | | | | (146) all_288_1 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (146) implies:
% 83.02/12.08 | | | | | | | | | | (147) all_288_1 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (141), (142) imply:
% 83.02/12.08 | | | | | | | | | | (148) all_240_0 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (148) implies:
% 83.02/12.08 | | | | | | | | | | (149) all_240_0 = all_222_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (140), (142) imply:
% 83.02/12.08 | | | | | | | | | | (150) all_222_0 = all_216_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (142), (144) imply:
% 83.02/12.08 | | | | | | | | | | (151) all_222_0 = all_200_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (142), (143) imply:
% 83.02/12.08 | | | | | | | | | | (152) all_222_0 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (127), (128) imply:
% 83.02/12.08 | | | | | | | | | | (153) all_270_0 = all_222_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (153) implies:
% 83.02/12.08 | | | | | | | | | | (154) all_270_0 = all_222_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (128), (129) imply:
% 83.02/12.08 | | | | | | | | | | (155) all_222_1 = all_200_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (138), (139) imply:
% 83.02/12.08 | | | | | | | | | | (156) all_200_0 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (156) implies:
% 83.02/12.08 | | | | | | | | | | (157) all_200_0 = all_160_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (113), (147) imply:
% 83.02/12.08 | | | | | | | | | | (158) all_222_0 = all_155_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (158) implies:
% 83.02/12.08 | | | | | | | | | | (159) all_222_0 = all_155_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (126), (154) imply:
% 83.02/12.08 | | | | | | | | | | (160) all_222_1 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (160) implies:
% 83.02/12.08 | | | | | | | | | | (161) all_222_1 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (112), (135) imply:
% 83.02/12.08 | | | | | | | | | | (162) all_200_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (162) implies:
% 83.02/12.08 | | | | | | | | | | (163) all_200_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (111), (149) imply:
% 83.02/12.08 | | | | | | | | | | (164) all_222_0 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (164) implies:
% 83.02/12.08 | | | | | | | | | | (165) all_222_0 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (150), (151) imply:
% 83.02/12.08 | | | | | | | | | | (166) all_216_0 = all_200_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (150), (159) imply:
% 83.02/12.08 | | | | | | | | | | (167) all_216_0 = all_155_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (150), (165) imply:
% 83.02/12.08 | | | | | | | | | | (168) all_216_0 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (150), (152) imply:
% 83.02/12.08 | | | | | | | | | | (169) all_216_0 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (155), (161) imply:
% 83.02/12.08 | | | | | | | | | | (170) all_200_0 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (170) implies:
% 83.02/12.08 | | | | | | | | | | (171) all_200_0 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (166), (169) imply:
% 83.02/12.08 | | | | | | | | | | (172) all_200_1 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (172) implies:
% 83.02/12.08 | | | | | | | | | | (173) all_200_1 = all_160_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (167), (169) imply:
% 83.02/12.08 | | | | | | | | | | (174) all_160_1 = all_155_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (168), (169) imply:
% 83.02/12.08 | | | | | | | | | | (175) all_160_1 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (124), (125) imply:
% 83.02/12.08 | | | | | | | | | | (176) all_155_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (123), (124) imply:
% 83.02/12.08 | | | | | | | | | | (177) all_200_0 = all_155_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (177) implies:
% 83.02/12.08 | | | | | | | | | | (178) all_200_0 = all_155_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (157), (171) imply:
% 83.02/12.08 | | | | | | | | | | (179) all_160_0 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (157), (178) imply:
% 83.02/12.08 | | | | | | | | | | (180) all_160_0 = all_155_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (163), (173) imply:
% 83.02/12.08 | | | | | | | | | | (181) all_160_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (181) implies:
% 83.02/12.08 | | | | | | | | | | (182) all_160_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (179), (180) imply:
% 83.02/12.08 | | | | | | | | | | (183) all_155_1 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | SIMP: (183) implies:
% 83.02/12.08 | | | | | | | | | | (184) all_155_1 = all_71_1
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (174), (175) imply:
% 83.02/12.08 | | | | | | | | | | (185) all_155_0 = all_71_0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (174), (182) imply:
% 83.02/12.08 | | | | | | | | | | (186) all_155_0 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (185), (186) imply:
% 83.02/12.08 | | | | | | | | | | (187) all_71_0 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | COMBINE_EQS: (176), (184) imply:
% 83.02/12.08 | | | | | | | | | | (188) all_71_1 = 0
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | BETA: splitting (23) gives:
% 83.02/12.08 | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | Case 1:
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | | (189) ~ (all_71_0 = 0)
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | | REDUCE: (187), (189) imply:
% 83.02/12.08 | | | | | | | | | | | (190) $false
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | Case 2:
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | | (191) ~ (all_71_1 = 0)
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.08 | | | | | | | | | | | REDUCE: (188), (191) imply:
% 83.02/12.08 | | | | | | | | | | | (192) $false
% 83.02/12.08 | | | | | | | | | | |
% 83.02/12.09 | | | | | | | | | | | CLOSE: (192) is inconsistent.
% 83.02/12.09 | | | | | | | | | | |
% 83.02/12.09 | | | | | | | | | | End of split
% 83.02/12.09 | | | | | | | | | |
% 83.02/12.09 | | | | | | | | | End of split
% 83.02/12.09 | | | | | | | | |
% 83.02/12.09 | | | | | | | | End of split
% 83.02/12.09 | | | | | | | |
% 83.02/12.09 | | | | | | | End of split
% 83.02/12.09 | | | | | | |
% 83.02/12.09 | | | | | | End of split
% 83.02/12.09 | | | | | |
% 83.02/12.09 | | | | | End of split
% 83.02/12.09 | | | | |
% 83.02/12.09 | | | | End of split
% 83.02/12.09 | | | |
% 83.02/12.09 | | | End of split
% 83.02/12.09 | | |
% 83.02/12.09 | | End of split
% 83.02/12.09 | |
% 83.02/12.09 | End of split
% 83.02/12.09 |
% 83.02/12.09 End of proof
% 83.02/12.09
% 83.02/12.09 Sub-proof #2 shows that the following formulas are inconsistent:
% 83.02/12.09 ----------------------------------------------------------------
% 83.02/12.09 (1) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_1, all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (2) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_96_3, all_90_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (3) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.09 (apply(all_32_4, all_96_3, all_88_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.09 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.09 (v0 = 0)))
% 83.02/12.09 (4) apply(all_32_5, all_56_0, all_92_0) = 0
% 83.02/12.09 (5) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_2, all_96_3) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (6) apply(all_32_5, all_48_1, all_48_0) = 0
% 83.02/12.09 (7) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_88_0, all_96_3) = v0 & apply(all_32_5, all_88_0, all_92_0) = v1 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (8) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_2, all_92_0) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (9) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_2, all_92_0) = v1 & apply(all_32_5, all_48_2, all_48_0) = v0 &
% 83.02/12.09 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (10) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.09 (apply(all_32_5, all_56_0, all_48_0) = v2 & member(all_92_0, all_32_2) =
% 83.02/12.09 v1 & member(all_56_0, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.09 (v0 = 0)))
% 83.02/12.09 (11) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_96_3, all_56_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (12) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_96_3, all_90_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (13) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_48_0, all_88_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (14) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_2) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (15) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.09 (apply(all_32_4, all_96_3, all_56_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.09 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.09 (v0 = 0)))
% 83.02/12.09 (16) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_56_0, all_92_0) = v0 & apply(all_32_5, all_56_0, all_48_0) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (17) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_92_0) = v0
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (18) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_2) = v0
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (19) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_2) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (20) apply(all_32_5, all_48_2, all_96_3) = 0
% 83.02/12.09 (21) all_60_0 = all_48_0
% 83.02/12.09 (22) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.09 (apply(all_32_5, all_48_2, all_48_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.09 v1 & member(all_48_2, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.09 (v0 = 0)))
% 83.02/12.09 (23) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_48_2, all_96_3) = v0 & apply(all_32_5, all_48_2, all_94_3) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (24) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.09 all_96_3, all_88_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (25) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_56_0, all_96_3) = v0 & apply(all_32_5, all_56_0, all_92_0) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (26) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_88_0, all_92_0) = v1 & apply(all_32_5, all_88_0, all_48_0) = v0
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (27) apply(all_32_4, all_48_0, all_56_0) = 0
% 83.02/12.09 (28) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.09 all_90_0, all_92_0) = v0 & apply(all_32_5, all_90_0, all_48_0) = v1
% 83.02/12.09 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.09 (29) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_94_3) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (30) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_48_0, all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (31) ~ (all_48_1 = all_48_2)
% 83.02/12.10 (32) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_96_3, all_88_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (33) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (34) apply(all_32_5, all_48_1, all_94_3) = 0
% 83.02/12.10 (35) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.10 (apply(all_32_4, all_96_3, all_90_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.10 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.10 (v0 = 0)))
% 83.02/12.10 (36) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_90_0, all_92_0) = v1 & apply(all_32_5, all_90_0, all_48_0) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (37) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_96_3, all_48_1) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (38) all_88_0 = all_56_0
% 83.02/12.10 (39) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 83.02/12.10 (40) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_2, all_94_3) = v1 & apply(all_32_5, all_48_2, all_48_0) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (41) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_2, all_94_3) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (42) all_58_0 = all_48_0
% 83.02/12.10 (43) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.02/12.10 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.02/12.10 (apply(v4, v3, v2) = v0))
% 83.02/12.10 (44) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_48_0, all_90_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (45) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.10 (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_56_0, all_32_3) =
% 83.02/12.10 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.10 (v0 = 0)))
% 83.02/12.10 (46) ~ (all_94_3 = all_48_0)
% 83.02/12.10 (47) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_1, all_96_3) = v0 & apply(all_32_5, all_48_1, all_94_3) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (48) apply(all_32_5, all_48_2, all_48_0) = 0
% 83.02/12.10 (49) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_96_3, all_56_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (50) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_96_3, all_48_1) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (51) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_88_0, all_92_0) = v0 & apply(all_32_5, all_88_0, all_48_0) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (52) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_1, all_94_3) = v0 & apply(all_32_5, all_48_1, all_48_0) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (53) apply(all_32_4, all_96_3, all_48_2) = 0
% 83.02/12.10 (54) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_2) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (55) all_90_0 = all_56_0
% 83.02/12.10 (56) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.10 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (57) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.10 (apply(all_32_5, all_48_1, all_92_0) = v2 & member(all_94_3, all_32_2) =
% 83.02/12.10 v1 & member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.10 (v0 = 0)))
% 83.02/12.10 (58) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_56_0, all_96_3) = v1 & apply(all_32_5, all_56_0, all_92_0) = v0
% 83.02/12.10 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10
% 83.02/12.10 Begin of proof
% 83.02/12.10 |
% 83.02/12.10 | BETA: splitting (22) gives:
% 83.02/12.10 |
% 83.02/12.10 | Case 1:
% 83.02/12.10 | |
% 83.02/12.10 | | (59) all_96_3 = all_48_0
% 83.02/12.10 | |
% 83.02/12.10 | | REDUCE: (53), (59) imply:
% 83.02/12.10 | | (60) apply(all_32_4, all_48_0, all_48_2) = 0
% 83.02/12.10 | |
% 83.02/12.10 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 83.02/12.10 | | (14), (15), (16), (17), (18), (19), (21), (23), (24), (25), (26),
% 83.02/12.10 | | (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 83.02/12.10 | | (38), (39), (42), (43), (44), (45), (46), (47), (48), (49), (50),
% 83.02/12.10 | | (51), (52), (54), (55), (56), (57), (58), (59), (60) are
% 83.02/12.10 | | inconsistent by sub-proof #4.
% 83.02/12.10 | |
% 83.02/12.10 | Case 2:
% 83.02/12.10 | |
% 83.02/12.10 | | (61) ~ (all_96_3 = all_48_0)
% 83.02/12.10 | |
% 83.02/12.10 | | REF_CLOSE: (5), (20), (40), (41), (43), (46), (48), (61) are inconsistent by
% 83.02/12.10 | | sub-proof #3.
% 83.02/12.10 | |
% 83.02/12.10 | End of split
% 83.02/12.10 |
% 83.02/12.10 End of proof
% 83.02/12.10
% 83.02/12.10 Sub-proof #3 shows that the following formulas are inconsistent:
% 83.02/12.10 ----------------------------------------------------------------
% 83.02/12.10 (1) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_2, all_96_3) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 &
% 83.02/12.10 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.10 (2) ~ (all_96_3 = all_48_0)
% 83.02/12.10 (3) apply(all_32_5, all_48_2, all_96_3) = 0
% 83.02/12.10 (4) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.10 all_48_2, all_94_3) = v1 & apply(all_32_5, all_48_2, all_48_0) = v0 &
% 83.02/12.10 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (5) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_48_2, all_94_3) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.02/12.11 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.02/12.11 (apply(v4, v3, v2) = v0))
% 83.02/12.11 (7) ~ (all_94_3 = all_48_0)
% 83.02/12.11 (8) apply(all_32_5, all_48_2, all_48_0) = 0
% 83.02/12.11
% 83.02/12.11 Begin of proof
% 83.02/12.11 |
% 83.02/12.11 | BETA: splitting (1) gives:
% 83.02/12.11 |
% 83.02/12.11 | Case 1:
% 83.02/12.11 | |
% 83.02/12.11 | | (9) all_96_3 = all_48_0
% 83.02/12.11 | |
% 83.02/12.11 | | REDUCE: (2), (9) imply:
% 83.02/12.11 | | (10) $false
% 83.02/12.11 | |
% 83.02/12.11 | | CLOSE: (10) is inconsistent.
% 83.02/12.11 | |
% 83.02/12.11 | Case 2:
% 83.02/12.11 | |
% 83.02/12.11 | | (11) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2, all_96_3) =
% 83.02/12.11 | | v0 & apply(all_32_5, all_48_2, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.11 | | (v0 = 0)))
% 83.02/12.11 | |
% 83.02/12.11 | | DELTA: instantiating (11) with fresh symbols all_181_0, all_181_1 gives:
% 83.02/12.11 | | (12) apply(all_32_5, all_48_2, all_96_3) = all_181_1 & apply(all_32_5,
% 83.02/12.11 | | all_48_2, all_48_0) = all_181_0 & ( ~ (all_181_0 = 0) | ~
% 83.02/12.11 | | (all_181_1 = 0))
% 83.02/12.11 | |
% 83.02/12.11 | | ALPHA: (12) implies:
% 83.02/12.11 | | (13) apply(all_32_5, all_48_2, all_48_0) = all_181_0
% 83.02/12.11 | | (14) apply(all_32_5, all_48_2, all_96_3) = all_181_1
% 83.02/12.11 | | (15) ~ (all_181_0 = 0) | ~ (all_181_1 = 0)
% 83.02/12.11 | |
% 83.02/12.11 | | BETA: splitting (5) gives:
% 83.02/12.11 | |
% 83.02/12.11 | | Case 1:
% 83.02/12.11 | | |
% 83.02/12.11 | | | (16) all_94_3 = all_48_0
% 83.02/12.11 | | |
% 83.02/12.11 | | | REDUCE: (7), (16) imply:
% 83.02/12.11 | | | (17) $false
% 83.02/12.11 | | |
% 83.02/12.11 | | | CLOSE: (17) is inconsistent.
% 83.02/12.11 | | |
% 83.02/12.11 | | Case 2:
% 83.02/12.11 | | |
% 83.02/12.11 | | | (18) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2, all_94_3)
% 83.02/12.11 | | | = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 & ( ~ (v1 = 0) |
% 83.02/12.11 | | | ~ (v0 = 0)))
% 83.02/12.11 | | |
% 83.02/12.11 | | | DELTA: instantiating (18) with fresh symbols all_222_0, all_222_1 gives:
% 83.02/12.11 | | | (19) apply(all_32_5, all_48_2, all_94_3) = all_222_1 & apply(all_32_5,
% 83.02/12.11 | | | all_48_2, all_48_0) = all_222_0 & ( ~ (all_222_0 = 0) | ~
% 83.02/12.11 | | | (all_222_1 = 0))
% 83.02/12.11 | | |
% 83.02/12.11 | | | ALPHA: (19) implies:
% 83.02/12.11 | | | (20) apply(all_32_5, all_48_2, all_48_0) = all_222_0
% 83.02/12.11 | | |
% 83.02/12.11 | | | BETA: splitting (4) gives:
% 83.02/12.11 | | |
% 83.02/12.11 | | | Case 1:
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | (21) all_94_3 = all_48_0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | REDUCE: (7), (21) imply:
% 83.02/12.11 | | | | (22) $false
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | CLOSE: (22) is inconsistent.
% 83.02/12.11 | | | |
% 83.02/12.11 | | | Case 2:
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | (23) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2,
% 83.02/12.11 | | | | all_94_3) = v1 & apply(all_32_5, all_48_2, all_48_0) = v0 &
% 83.02/12.11 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | DELTA: instantiating (23) with fresh symbols all_227_0, all_227_1 gives:
% 83.02/12.11 | | | | (24) apply(all_32_5, all_48_2, all_94_3) = all_227_0 &
% 83.02/12.11 | | | | apply(all_32_5, all_48_2, all_48_0) = all_227_1 & ( ~ (all_227_0
% 83.02/12.11 | | | | = 0) | ~ (all_227_1 = 0))
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | ALPHA: (24) implies:
% 83.02/12.11 | | | | (25) apply(all_32_5, all_48_2, all_48_0) = all_227_1
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | GROUND_INST: instantiating (6) with 0, all_222_0, all_48_0, all_48_2,
% 83.02/12.11 | | | | all_32_5, simplifying with (8), (20) gives:
% 83.02/12.11 | | | | (26) all_222_0 = 0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | GROUND_INST: instantiating (6) with all_222_0, all_227_1, all_48_0,
% 83.02/12.11 | | | | all_48_2, all_32_5, simplifying with (20), (25) gives:
% 83.02/12.11 | | | | (27) all_227_1 = all_222_0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | GROUND_INST: instantiating (6) with all_181_0, all_227_1, all_48_0,
% 83.02/12.11 | | | | all_48_2, all_32_5, simplifying with (13), (25) gives:
% 83.02/12.11 | | | | (28) all_227_1 = all_181_0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | GROUND_INST: instantiating (6) with 0, all_181_1, all_96_3, all_48_2,
% 83.02/12.11 | | | | all_32_5, simplifying with (3), (14) gives:
% 83.02/12.11 | | | | (29) all_181_1 = 0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | COMBINE_EQS: (27), (28) imply:
% 83.02/12.11 | | | | (30) all_222_0 = all_181_0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | SIMP: (30) implies:
% 83.02/12.11 | | | | (31) all_222_0 = all_181_0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | COMBINE_EQS: (26), (31) imply:
% 83.02/12.11 | | | | (32) all_181_0 = 0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | SIMP: (32) implies:
% 83.02/12.11 | | | | (33) all_181_0 = 0
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | BETA: splitting (15) gives:
% 83.02/12.11 | | | |
% 83.02/12.11 | | | | Case 1:
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | (34) ~ (all_181_0 = 0)
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | REDUCE: (33), (34) imply:
% 83.02/12.11 | | | | | (35) $false
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | CLOSE: (35) is inconsistent.
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | Case 2:
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | (36) ~ (all_181_1 = 0)
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | REDUCE: (29), (36) imply:
% 83.02/12.11 | | | | | (37) $false
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | | CLOSE: (37) is inconsistent.
% 83.02/12.11 | | | | |
% 83.02/12.11 | | | | End of split
% 83.02/12.11 | | | |
% 83.02/12.11 | | | End of split
% 83.02/12.11 | | |
% 83.02/12.11 | | End of split
% 83.02/12.11 | |
% 83.02/12.11 | End of split
% 83.02/12.11 |
% 83.02/12.11 End of proof
% 83.02/12.11
% 83.02/12.11 Sub-proof #4 shows that the following formulas are inconsistent:
% 83.02/12.11 ----------------------------------------------------------------
% 83.02/12.11 (1) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_48_1, all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (2) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.11 all_96_3, all_90_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (3) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.11 (apply(all_32_4, all_96_3, all_88_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.11 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.11 (v0 = 0)))
% 83.02/12.11 (4) apply(all_32_5, all_56_0, all_92_0) = 0
% 83.02/12.11 (5) apply(all_32_5, all_48_1, all_48_0) = 0
% 83.02/12.11 (6) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_88_0, all_96_3) = v0 & apply(all_32_5, all_88_0, all_92_0) = v1 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (7) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_48_2, all_92_0) = v0 & apply(all_32_5, all_48_2, all_48_0) = v1 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (8) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_48_2, all_92_0) = v1 & apply(all_32_5, all_48_2, all_48_0) = v0 &
% 83.02/12.11 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (9) all_96_3 = all_48_0
% 83.02/12.11 (10) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.11 (apply(all_32_5, all_56_0, all_48_0) = v2 & member(all_92_0, all_32_2) =
% 83.02/12.11 v1 & member(all_56_0, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.11 (v0 = 0)))
% 83.02/12.11 (11) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.11 all_96_3, all_56_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.11 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (12) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.11 all_96_3, all_90_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.11 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (13) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.11 all_48_0, all_88_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.11 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (14) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.11 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_2) = v1
% 83.02/12.11 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.11 (15) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.11 (apply(all_32_4, all_96_3, all_56_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.11 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.11 (v0 = 0)))
% 83.02/12.11 (16) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.11 all_56_0, all_92_0) = v0 & apply(all_32_5, all_56_0, all_48_0) = v1
% 83.02/12.11 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (17) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_92_0) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (18) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (19) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_2) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (20) apply(all_32_4, all_48_0, all_48_2) = 0
% 83.02/12.12 (21) all_60_0 = all_48_0
% 83.02/12.12 (22) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_48_2, all_96_3) = v0 & apply(all_32_5, all_48_2, all_94_3) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (23) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_96_3, all_88_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (24) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_56_0, all_96_3) = v0 & apply(all_32_5, all_56_0, all_92_0) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (25) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_88_0, all_92_0) = v1 & apply(all_32_5, all_88_0, all_48_0) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (26) apply(all_32_4, all_48_0, all_56_0) = 0
% 83.02/12.12 (27) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_90_0, all_92_0) = v0 & apply(all_32_5, all_90_0, all_48_0) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (28) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_94_3) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (29) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_48_0, all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (30) ~ (all_48_1 = all_48_2)
% 83.02/12.12 (31) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_96_3, all_88_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (32) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (33) apply(all_32_5, all_48_1, all_94_3) = 0
% 83.02/12.12 (34) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.12 (apply(all_32_4, all_96_3, all_90_0) = v2 & member(all_96_3, all_32_2) =
% 83.02/12.12 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.12 (v0 = 0)))
% 83.02/12.12 (35) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_90_0, all_92_0) = v1 & apply(all_32_5, all_90_0, all_48_0) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (36) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_96_3, all_48_1) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (37) all_88_0 = all_56_0
% 83.02/12.12 (38) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 83.02/12.12 (39) all_58_0 = all_48_0
% 83.02/12.12 (40) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.02/12.12 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.02/12.12 (apply(v4, v3, v2) = v0))
% 83.02/12.12 (41) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_48_0, all_90_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (42) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.12 (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_56_0, all_32_3) =
% 83.02/12.12 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.12 (v0 = 0)))
% 83.02/12.12 (43) ~ (all_94_3 = all_48_0)
% 83.02/12.12 (44) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_48_1, all_96_3) = v0 & apply(all_32_5, all_48_1, all_94_3) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (45) apply(all_32_5, all_48_2, all_48_0) = 0
% 83.02/12.12 (46) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_96_3, all_56_0) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (47) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_96_3, all_48_1) = v1 & apply(all_32_4, all_96_3, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (48) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_88_0, all_92_0) = v0 & apply(all_32_5, all_88_0, all_48_0) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (49) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.12 all_48_1, all_94_3) = v0 & apply(all_32_5, all_48_1, all_48_0) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (50) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_2) = v0
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (51) all_90_0 = all_56_0
% 83.02/12.12 (52) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.02/12.12 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.02/12.12 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.12 (53) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.12 (apply(all_32_5, all_48_1, all_92_0) = v2 & member(all_94_3, all_32_2) =
% 83.02/12.12 v1 & member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.02/12.12 (v0 = 0)))
% 83.02/12.13 (54) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.13 all_56_0, all_96_3) = v1 & apply(all_32_5, all_56_0, all_92_0) = v0
% 83.02/12.13 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.13
% 83.02/12.13 Begin of proof
% 83.02/12.13 |
% 83.02/12.13 | BETA: splitting (47) gives:
% 83.02/12.13 |
% 83.02/12.13 | Case 1:
% 83.02/12.13 | |
% 83.02/12.13 | | (55) all_48_1 = all_48_2
% 83.02/12.13 | |
% 83.02/12.13 | | REDUCE: (30), (55) imply:
% 83.02/12.13 | | (56) $false
% 83.02/12.13 | |
% 83.02/12.13 | | CLOSE: (56) is inconsistent.
% 83.02/12.13 | |
% 83.02/12.13 | Case 2:
% 83.02/12.13 | |
% 83.02/12.13 | | (57) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_96_3, all_48_1) =
% 83.02/12.13 | | v1 & apply(all_32_4, all_96_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.13 | | (v0 = 0)))
% 83.02/12.13 | |
% 83.02/12.13 | | DELTA: instantiating (57) with fresh symbols all_168_0, all_168_1 gives:
% 83.02/12.13 | | (58) apply(all_32_4, all_96_3, all_48_1) = all_168_0 & apply(all_32_4,
% 83.02/12.13 | | all_96_3, all_48_2) = all_168_1 & ( ~ (all_168_0 = 0) | ~
% 83.02/12.13 | | (all_168_1 = 0))
% 83.02/12.13 | |
% 83.02/12.13 | | ALPHA: (58) implies:
% 83.02/12.13 | | (59) apply(all_32_4, all_96_3, all_48_2) = all_168_1
% 83.02/12.13 | |
% 83.02/12.13 | | REDUCE: (9), (59) imply:
% 83.02/12.13 | | (60) apply(all_32_4, all_48_0, all_48_2) = all_168_1
% 83.02/12.13 | |
% 83.02/12.13 | | BETA: splitting (36) gives:
% 83.02/12.13 | |
% 83.02/12.13 | | Case 1:
% 83.02/12.13 | | |
% 83.02/12.13 | | | (61) all_48_1 = all_48_2
% 83.02/12.13 | | |
% 83.02/12.13 | | | REDUCE: (30), (61) imply:
% 83.02/12.13 | | | (62) $false
% 83.02/12.13 | | |
% 83.02/12.13 | | | CLOSE: (62) is inconsistent.
% 83.02/12.13 | | |
% 83.02/12.13 | | Case 2:
% 83.02/12.13 | | |
% 83.02/12.13 | | | (63) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_96_3, all_48_1)
% 83.02/12.13 | | | = v0 & apply(all_32_4, all_96_3, all_48_2) = v1 & ( ~ (v1 = 0) |
% 83.02/12.13 | | | ~ (v0 = 0)))
% 83.02/12.13 | | |
% 83.02/12.13 | | | DELTA: instantiating (63) with fresh symbols all_173_0, all_173_1 gives:
% 83.02/12.13 | | | (64) apply(all_32_4, all_96_3, all_48_1) = all_173_1 & apply(all_32_4,
% 83.02/12.13 | | | all_96_3, all_48_2) = all_173_0 & ( ~ (all_173_0 = 0) | ~
% 83.02/12.13 | | | (all_173_1 = 0))
% 83.02/12.13 | | |
% 83.02/12.13 | | | ALPHA: (64) implies:
% 83.02/12.13 | | | (65) apply(all_32_4, all_96_3, all_48_2) = all_173_0
% 83.02/12.13 | | |
% 83.02/12.13 | | | REDUCE: (9), (65) imply:
% 83.02/12.13 | | | (66) apply(all_32_4, all_48_0, all_48_2) = all_173_0
% 83.02/12.13 | | |
% 83.02/12.13 | | | BETA: splitting (15) gives:
% 83.02/12.13 | | |
% 83.02/12.13 | | | Case 1:
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | (67) all_56_0 = all_48_2
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | COMBINE_EQS: (37), (67) imply:
% 83.02/12.13 | | | | (68) all_88_0 = all_48_2
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | COMBINE_EQS: (51), (67) imply:
% 83.02/12.13 | | | | (69) all_90_0 = all_48_2
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | REDUCE: (4), (67) imply:
% 83.02/12.13 | | | | (70) apply(all_32_5, all_48_2, all_92_0) = 0
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | BETA: splitting (6) gives:
% 83.02/12.13 | | | |
% 83.02/12.13 | | | | Case 1:
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | (71) all_96_3 = all_92_0
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | COMBINE_EQS: (9), (71) imply:
% 83.02/12.13 | | | | | (72) all_92_0 = all_48_0
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | SIMP: (72) implies:
% 83.02/12.13 | | | | | (73) all_92_0 = all_48_0
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53), (73) are
% 83.02/12.13 | | | | | inconsistent by sub-proof #5.
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | Case 2:
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | (74) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_88_0,
% 83.02/12.13 | | | | | all_96_3) = v0 & apply(all_32_5, all_88_0, all_92_0) = v1
% 83.02/12.13 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | DELTA: instantiating (74) with fresh symbols all_200_0, all_200_1
% 83.02/12.13 | | | | | gives:
% 83.02/12.13 | | | | | (75) apply(all_32_5, all_88_0, all_96_3) = all_200_1 &
% 83.02/12.13 | | | | | apply(all_32_5, all_88_0, all_92_0) = all_200_0 & ( ~
% 83.02/12.13 | | | | | (all_200_0 = 0) | ~ (all_200_1 = 0))
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | ALPHA: (75) implies:
% 83.02/12.13 | | | | | (76) apply(all_32_5, all_88_0, all_92_0) = all_200_0
% 83.02/12.13 | | | | | (77) apply(all_32_5, all_88_0, all_96_3) = all_200_1
% 83.02/12.13 | | | | | (78) ~ (all_200_0 = 0) | ~ (all_200_1 = 0)
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | REDUCE: (9), (68), (77) imply:
% 83.02/12.13 | | | | | (79) apply(all_32_5, all_48_2, all_48_0) = all_200_1
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | REDUCE: (68), (76) imply:
% 83.02/12.13 | | | | | (80) apply(all_32_5, all_48_2, all_92_0) = all_200_0
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | BETA: splitting (10) gives:
% 83.02/12.13 | | | | |
% 83.02/12.13 | | | | | Case 1:
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | (81) all_92_0 = all_48_0
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53), (81)
% 83.02/12.13 | | | | | | are inconsistent by sub-proof #5.
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | Case 2:
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | (82) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.02/12.13 | | | | | | (apply(all_32_5, all_56_0, all_48_0) = v2 & member(all_92_0,
% 83.02/12.13 | | | | | | all_32_2) = v1 & member(all_56_0, all_32_3) = v0 & ( ~
% 83.02/12.13 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | DELTA: instantiating (82) with fresh symbols all_206_0, all_206_1,
% 83.02/12.13 | | | | | | all_206_2 gives:
% 83.02/12.13 | | | | | | (83) apply(all_32_5, all_56_0, all_48_0) = all_206_0 &
% 83.02/12.13 | | | | | | member(all_92_0, all_32_2) = all_206_1 & member(all_56_0,
% 83.02/12.13 | | | | | | all_32_3) = all_206_2 & ( ~ (all_206_0 = 0) | ~
% 83.02/12.13 | | | | | | (all_206_1 = 0) | ~ (all_206_2 = 0))
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | ALPHA: (83) implies:
% 83.02/12.13 | | | | | | (84) apply(all_32_5, all_56_0, all_48_0) = all_206_0
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | REDUCE: (67), (84) imply:
% 83.02/12.13 | | | | | | (85) apply(all_32_5, all_48_2, all_48_0) = all_206_0
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | BETA: splitting (8) gives:
% 83.02/12.13 | | | | | |
% 83.02/12.13 | | | | | | Case 1:
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | (86) all_92_0 = all_48_0
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53), (86)
% 83.02/12.13 | | | | | | | are inconsistent by sub-proof #5.
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | Case 2:
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | (87) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2,
% 83.02/12.13 | | | | | | | all_92_0) = v1 & apply(all_32_5, all_48_2, all_48_0) =
% 83.02/12.13 | | | | | | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | DELTA: instantiating (87) with fresh symbols all_265_0, all_265_1
% 83.02/12.13 | | | | | | | gives:
% 83.02/12.13 | | | | | | | (88) apply(all_32_5, all_48_2, all_92_0) = all_265_0 &
% 83.02/12.13 | | | | | | | apply(all_32_5, all_48_2, all_48_0) = all_265_1 & ( ~
% 83.02/12.13 | | | | | | | (all_265_0 = 0) | ~ (all_265_1 = 0))
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | ALPHA: (88) implies:
% 83.02/12.13 | | | | | | | (89) apply(all_32_5, all_48_2, all_48_0) = all_265_1
% 83.02/12.13 | | | | | | | (90) apply(all_32_5, all_48_2, all_92_0) = all_265_0
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | BETA: splitting (25) gives:
% 83.02/12.13 | | | | | | |
% 83.02/12.13 | | | | | | | Case 1:
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | (91) all_92_0 = all_48_0
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.13 | | | | | | | | (91) are inconsistent by sub-proof #5.
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | Case 2:
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | (92) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_88_0,
% 83.02/12.13 | | | | | | | | all_92_0) = v1 & apply(all_32_5, all_88_0, all_48_0)
% 83.02/12.13 | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | DELTA: instantiating (92) with fresh symbols all_293_0,
% 83.02/12.13 | | | | | | | | all_293_1 gives:
% 83.02/12.13 | | | | | | | | (93) apply(all_32_5, all_88_0, all_92_0) = all_293_0 &
% 83.02/12.13 | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = all_293_1 & ( ~
% 83.02/12.13 | | | | | | | | (all_293_0 = 0) | ~ (all_293_1 = 0))
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | ALPHA: (93) implies:
% 83.02/12.13 | | | | | | | | (94) apply(all_32_5, all_88_0, all_48_0) = all_293_1
% 83.02/12.13 | | | | | | | | (95) apply(all_32_5, all_88_0, all_92_0) = all_293_0
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | REDUCE: (68), (95) imply:
% 83.02/12.13 | | | | | | | | (96) apply(all_32_5, all_48_2, all_92_0) = all_293_0
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | REDUCE: (68), (94) imply:
% 83.02/12.13 | | | | | | | | (97) apply(all_32_5, all_48_2, all_48_0) = all_293_1
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | BETA: splitting (16) gives:
% 83.02/12.13 | | | | | | | |
% 83.02/12.13 | | | | | | | | Case 1:
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | (98) all_92_0 = all_48_0
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.13 | | | | | | | | | (98) are inconsistent by sub-proof #5.
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | Case 2:
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | (99) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.13 | | | | | | | | | all_56_0, all_92_0) = v0 & apply(all_32_5,
% 83.02/12.13 | | | | | | | | | all_56_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 83.02/12.13 | | | | | | | | | 0)))
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | DELTA: instantiating (99) with fresh symbols all_299_0,
% 83.02/12.13 | | | | | | | | | all_299_1 gives:
% 83.02/12.13 | | | | | | | | | (100) apply(all_32_5, all_56_0, all_92_0) = all_299_1 &
% 83.02/12.13 | | | | | | | | | apply(all_32_5, all_56_0, all_48_0) = all_299_0 & ( ~
% 83.02/12.13 | | | | | | | | | (all_299_0 = 0) | ~ (all_299_1 = 0))
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | ALPHA: (100) implies:
% 83.02/12.13 | | | | | | | | | (101) apply(all_32_5, all_56_0, all_48_0) = all_299_0
% 83.02/12.13 | | | | | | | | | (102) apply(all_32_5, all_56_0, all_92_0) = all_299_1
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | REDUCE: (67), (102) imply:
% 83.02/12.13 | | | | | | | | | (103) apply(all_32_5, all_48_2, all_92_0) = all_299_1
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | REDUCE: (67), (101) imply:
% 83.02/12.13 | | | | | | | | | (104) apply(all_32_5, all_48_2, all_48_0) = all_299_0
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | BETA: splitting (17) gives:
% 83.02/12.13 | | | | | | | | |
% 83.02/12.13 | | | | | | | | | Case 1:
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.13 | | | | | | | | | | (105) all_96_3 = all_92_0
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.13 | | | | | | | | | | COMBINE_EQS: (9), (105) imply:
% 83.02/12.13 | | | | | | | | | | (106) all_92_0 = all_48_0
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.13 | | | | | | | | | | SIMP: (106) implies:
% 83.02/12.13 | | | | | | | | | | (107) all_92_0 = all_48_0
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.13 | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.13 | | | | | | | | | | (107) are inconsistent by sub-proof #5.
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.13 | | | | | | | | | Case 2:
% 83.02/12.13 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | (108) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | all_48_2, all_96_3) = v1 & apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | all_48_2, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.14 | | | | | | | | | | (v0 = 0)))
% 83.02/12.14 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | DELTA: instantiating (108) with fresh symbols all_305_0,
% 83.02/12.14 | | | | | | | | | | all_305_1 gives:
% 83.02/12.14 | | | | | | | | | | (109) apply(all_32_5, all_48_2, all_96_3) = all_305_0 &
% 83.02/12.14 | | | | | | | | | | apply(all_32_5, all_48_2, all_92_0) = all_305_1 & (
% 83.02/12.14 | | | | | | | | | | ~ (all_305_0 = 0) | ~ (all_305_1 = 0))
% 83.02/12.14 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | ALPHA: (109) implies:
% 83.02/12.14 | | | | | | | | | | (110) apply(all_32_5, all_48_2, all_92_0) = all_305_1
% 83.02/12.14 | | | | | | | | | | (111) apply(all_32_5, all_48_2, all_96_3) = all_305_0
% 83.02/12.14 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | REDUCE: (9), (111) imply:
% 83.02/12.14 | | | | | | | | | | (112) apply(all_32_5, all_48_2, all_48_0) = all_305_0
% 83.02/12.14 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | BETA: splitting (54) gives:
% 83.02/12.14 | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | Case 1:
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | (113) all_96_3 = all_92_0
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | COMBINE_EQS: (9), (113) imply:
% 83.02/12.14 | | | | | | | | | | | (114) all_92_0 = all_48_0
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | SIMP: (114) implies:
% 83.02/12.14 | | | | | | | | | | | (115) all_92_0 = all_48_0
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.14 | | | | | | | | | | | (115) are inconsistent by sub-proof #5.
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | Case 2:
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | (116) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | | all_56_0, all_96_3) = v1 & apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | | all_56_0, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.14 | | | | | | | | | | | (v0 = 0)))
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | DELTA: instantiating (116) with fresh symbols all_323_0,
% 83.02/12.14 | | | | | | | | | | | all_323_1 gives:
% 83.02/12.14 | | | | | | | | | | | (117) apply(all_32_5, all_56_0, all_96_3) = all_323_0 &
% 83.02/12.14 | | | | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = all_323_1 &
% 83.02/12.14 | | | | | | | | | | | ( ~ (all_323_0 = 0) | ~ (all_323_1 = 0))
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | ALPHA: (117) implies:
% 83.02/12.14 | | | | | | | | | | | (118) apply(all_32_5, all_56_0, all_92_0) = all_323_1
% 83.02/12.14 | | | | | | | | | | | (119) apply(all_32_5, all_56_0, all_96_3) = all_323_0
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | REDUCE: (9), (67), (119) imply:
% 83.02/12.14 | | | | | | | | | | | (120) apply(all_32_5, all_48_2, all_48_0) = all_323_0
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | REDUCE: (67), (118) imply:
% 83.02/12.14 | | | | | | | | | | | (121) apply(all_32_5, all_48_2, all_92_0) = all_323_1
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | BETA: splitting (35) gives:
% 83.02/12.14 | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | Case 1:
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | (122) all_92_0 = all_48_0
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.14 | | | | | | | | | | | | (122) are inconsistent by sub-proof #5.
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | Case 2:
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | (123) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | | | all_90_0, all_92_0) = v1 & apply(all_32_5,
% 83.02/12.14 | | | | | | | | | | | | all_90_0, all_48_0) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.14 | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | DELTA: instantiating (123) with fresh symbols all_329_0,
% 83.02/12.14 | | | | | | | | | | | | all_329_1 gives:
% 83.02/12.14 | | | | | | | | | | | | (124) apply(all_32_5, all_90_0, all_92_0) = all_329_0 &
% 83.02/12.14 | | | | | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = all_329_1 &
% 83.02/12.14 | | | | | | | | | | | | ( ~ (all_329_0 = 0) | ~ (all_329_1 = 0))
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | ALPHA: (124) implies:
% 83.02/12.14 | | | | | | | | | | | | (125) apply(all_32_5, all_90_0, all_48_0) = all_329_1
% 83.02/12.14 | | | | | | | | | | | | (126) apply(all_32_5, all_90_0, all_92_0) = all_329_0
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | REDUCE: (69), (126) imply:
% 83.02/12.14 | | | | | | | | | | | | (127) apply(all_32_5, all_48_2, all_92_0) = all_329_0
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | REDUCE: (69), (125) imply:
% 83.02/12.14 | | | | | | | | | | | | (128) apply(all_32_5, all_48_2, all_48_0) = all_329_1
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | BETA: splitting (27) gives:
% 83.02/12.14 | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | Case 1:
% 83.02/12.14 | | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | | (129) all_92_0 = all_48_0
% 83.02/12.14 | | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.14 | | | | | | | | | | | | | (129) are inconsistent by sub-proof #5.
% 83.02/12.14 | | | | | | | | | | | | |
% 83.02/12.14 | | | | | | | | | | | | Case 2:
% 83.02/12.14 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | (130) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | all_90_0, all_92_0) = v0 & apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | all_90_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.15 | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | DELTA: instantiating (130) with fresh symbols all_341_0,
% 83.02/12.15 | | | | | | | | | | | | | all_341_1 gives:
% 83.02/12.15 | | | | | | | | | | | | | (131) apply(all_32_5, all_90_0, all_92_0) = all_341_1 &
% 83.02/12.15 | | | | | | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = all_341_0 &
% 83.02/12.15 | | | | | | | | | | | | | ( ~ (all_341_0 = 0) | ~ (all_341_1 = 0))
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | ALPHA: (131) implies:
% 83.02/12.15 | | | | | | | | | | | | | (132) apply(all_32_5, all_90_0, all_48_0) = all_341_0
% 83.02/12.15 | | | | | | | | | | | | | (133) apply(all_32_5, all_90_0, all_92_0) = all_341_1
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | REDUCE: (69), (133) imply:
% 83.02/12.15 | | | | | | | | | | | | | (134) apply(all_32_5, all_48_2, all_92_0) = all_341_1
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | REDUCE: (69), (132) imply:
% 83.02/12.15 | | | | | | | | | | | | | (135) apply(all_32_5, all_48_2, all_48_0) = all_341_0
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | BETA: splitting (7) gives:
% 83.02/12.15 | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | Case 1:
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | (136) all_92_0 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.15 | | | | | | | | | | | | | | (136) are inconsistent by sub-proof #5.
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | Case 2:
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | (137) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | all_48_2, all_92_0) = v0 & apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | all_48_2, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.15 | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | DELTA: instantiating (137) with fresh symbols all_347_0,
% 83.02/12.15 | | | | | | | | | | | | | | all_347_1 gives:
% 83.02/12.15 | | | | | | | | | | | | | | (138) apply(all_32_5, all_48_2, all_92_0) = all_347_1 &
% 83.02/12.15 | | | | | | | | | | | | | | apply(all_32_5, all_48_2, all_48_0) = all_347_0 &
% 83.02/12.15 | | | | | | | | | | | | | | ( ~ (all_347_0 = 0) | ~ (all_347_1 = 0))
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | ALPHA: (138) implies:
% 83.02/12.15 | | | | | | | | | | | | | | (139) apply(all_32_5, all_48_2, all_48_0) = all_347_0
% 83.02/12.15 | | | | | | | | | | | | | | (140) apply(all_32_5, all_48_2, all_92_0) = all_347_1
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 83.02/12.15 | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | Case 1:
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | (141) all_96_3 = all_94_3
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | COMBINE_EQS: (9), (141) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | (142) all_94_3 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | SIMP: (142) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | (143) all_94_3 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | REDUCE: (43), (143) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | (144) $false
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | CLOSE: (144) is inconsistent.
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | Case 2:
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | (145) ~ (all_96_3 = all_94_3)
% 83.02/12.15 | | | | | | | | | | | | | | | (146) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | all_48_2, all_96_3) = v0 & apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | all_48_2, all_94_3) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.15 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | DELTA: instantiating (146) with fresh symbols all_353_0,
% 83.02/12.15 | | | | | | | | | | | | | | | all_353_1 gives:
% 83.02/12.15 | | | | | | | | | | | | | | | (147) apply(all_32_5, all_48_2, all_96_3) = all_353_1 &
% 83.02/12.15 | | | | | | | | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = all_353_0 &
% 83.02/12.15 | | | | | | | | | | | | | | | ( ~ (all_353_0 = 0) | ~ (all_353_1 = 0))
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | (148) apply(all_32_5, all_48_2, all_96_3) = all_353_1
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | REDUCE: (9), (145) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | (149) ~ (all_94_3 = all_48_0)
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | REDUCE: (9), (148) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | (150) apply(all_32_5, all_48_2, all_48_0) = all_353_1
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 83.02/12.15 | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | Case 1:
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | (151) all_96_3 = all_94_3
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (151) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | (152) all_94_3 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | SIMP: (152) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | | (153) all_94_3 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | REDUCE: (43), (153) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | (154) $false
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | Case 2:
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | (155) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | | all_48_2, all_96_3) = v1 & apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | | all_48_2, all_94_3) = v0 & ( ~ (v1 = 0) | ~
% 83.02/12.15 | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | DELTA: instantiating (155) with fresh symbols all_359_0,
% 83.02/12.15 | | | | | | | | | | | | | | | | all_359_1 gives:
% 83.02/12.15 | | | | | | | | | | | | | | | | (156) apply(all_32_5, all_48_2, all_96_3) = all_359_0 &
% 83.02/12.15 | | | | | | | | | | | | | | | | apply(all_32_5, all_48_2, all_94_3) = all_359_1 &
% 83.02/12.15 | | | | | | | | | | | | | | | | ( ~ (all_359_0 = 0) | ~ (all_359_1 = 0))
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | | (157) apply(all_32_5, all_48_2, all_96_3) = all_359_0
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | REDUCE: (9), (157) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | (158) apply(all_32_5, all_48_2, all_48_0) = all_359_0
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 83.02/12.15 | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | (159) all_96_3 = all_92_0
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (159) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (160) all_92_0 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | SIMP: (160) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (161) all_92_0 = all_48_0
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.02/12.15 | | | | | | | | | | | | | | | | | (161) are inconsistent by sub-proof #5.
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | Case 2:
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | (162) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | | | all_56_0, all_96_3) = v0 & apply(all_32_5,
% 83.02/12.15 | | | | | | | | | | | | | | | | | all_56_0, all_92_0) = v1 & ( ~ (v1 = 0) | ~
% 83.02/12.15 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_377_0,
% 83.02/12.15 | | | | | | | | | | | | | | | | | all_377_1 gives:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (163) apply(all_32_5, all_56_0, all_96_3) = all_377_1 &
% 83.02/12.15 | | | | | | | | | | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = all_377_0 &
% 83.02/12.15 | | | | | | | | | | | | | | | | | ( ~ (all_377_0 = 0) | ~ (all_377_1 = 0))
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (164) apply(all_32_5, all_56_0, all_92_0) = all_377_0
% 83.02/12.15 | | | | | | | | | | | | | | | | | (165) apply(all_32_5, all_56_0, all_96_3) = all_377_1
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | REDUCE: (9), (67), (165) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (166) apply(all_32_5, all_48_2, all_48_0) = all_377_1
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | REDUCE: (67), (164) imply:
% 83.02/12.15 | | | | | | | | | | | | | | | | | (167) apply(all_32_5, all_48_2, all_92_0) = all_377_0
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 83.02/12.15 | | | | | | | | | | | | | | | | |
% 83.02/12.15 | | | | | | | | | | | | | | | | | Case 1:
% 83.02/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (168) all_92_0 = all_48_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (33), (40), (43), (44), (49), (53),
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (168) are inconsistent by sub-proof #5.
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (169) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_88_0, all_92_0) = v0 & apply(all_32_5,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_88_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | DELTA: instantiating (169) with fresh symbols all_383_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_383_1 gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (170) apply(all_32_5, all_88_0, all_92_0) = all_383_1 &
% 83.97/12.15 | | | | | | | | | | | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = all_383_0 &
% 83.97/12.15 | | | | | | | | | | | | | | | | | | ( ~ (all_383_0 = 0) | ~ (all_383_1 = 0))
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (171) apply(all_32_5, all_88_0, all_48_0) = all_383_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (172) apply(all_32_5, all_88_0, all_92_0) = all_383_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | REDUCE: (68), (172) imply:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (173) apply(all_32_5, all_48_2, all_92_0) = all_383_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | REDUCE: (68), (171) imply:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (174) apply(all_32_5, all_48_2, all_48_0) = all_383_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with 0, all_293_1, all_48_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_2, all_32_5, simplifying with (45), (97)
% 83.97/12.15 | | | | | | | | | | | | | | | | | | gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (175) all_293_1 = 0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_293_1, all_299_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (97), (104) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (176) all_299_0 = all_293_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_200_1, all_299_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (79), (104) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (177) all_299_0 = all_200_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_305_0, all_323_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (112), (120) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (178) all_323_0 = all_305_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_293_1, all_323_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (97), (120) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (179) all_323_0 = all_293_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_265_1, all_347_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (89), (139) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (180) all_347_0 = all_265_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_329_1, all_359_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (128), (158) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (181) all_359_0 = all_329_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_323_0, all_359_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (120), (158) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (182) all_359_0 = all_323_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_353_1, all_377_1,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (150), (166) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (183) all_377_1 = all_353_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_299_0, all_377_1,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (104), (166) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (184) all_377_1 = all_299_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_206_0, all_377_1,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (85), (166) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (185) all_377_1 = all_206_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_359_0, all_383_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (158), (174) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (186) all_383_0 = all_359_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_347_0, all_383_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (139), (174) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (187) all_383_0 = all_347_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_341_0, all_383_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (135), (174) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (188) all_383_0 = all_341_0
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_305_1, all_329_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (110), (127) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (189) all_329_0 = all_305_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_299_1, all_329_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (103), (127) gives:
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (190) all_329_0 = all_299_1
% 83.97/12.15 | | | | | | | | | | | | | | | | | |
% 83.97/12.15 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_293_0, all_329_0,
% 83.97/12.15 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.15 | | | | | | | | | | | | | | | | | | (96), (127) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (191) all_329_0 = all_293_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_341_1, all_347_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (134), (140) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (192) all_347_1 = all_341_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_323_1, all_347_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (121), (140) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (193) all_347_1 = all_323_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_293_0, all_347_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (96), (140) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (194) all_347_1 = all_293_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_200_0, all_347_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (80), (140) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (195) all_347_1 = all_200_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_305_1, all_377_0,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (110), (167) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (196) all_377_0 = all_305_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with 0, all_377_0, all_92_0,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_48_2, all_32_5, simplifying with (70), (167)
% 83.97/12.16 | | | | | | | | | | | | | | | | | | gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (197) all_377_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_341_1, all_383_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (134), (173) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (198) all_383_1 = all_341_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_265_0, all_383_1,
% 83.97/12.16 | | | | | | | | | | | | | | | | | | all_92_0, all_48_2, all_32_5, simplifying with
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (90), (173) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (199) all_383_1 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (188) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (200) all_359_0 = all_341_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (200) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (201) all_359_0 = all_341_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (188) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (202) all_347_0 = all_341_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (202) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (203) all_347_0 = all_341_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (199) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (204) all_341_1 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (204) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (205) all_341_1 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (196), (197) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (206) all_305_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (207) all_305_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (183), (184) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (208) all_353_1 = all_299_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (183), (185) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (209) all_353_1 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (181), (182) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (210) all_329_1 = all_323_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (181), (201) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (211) all_341_0 = all_329_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (212) all_341_0 = all_329_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (209) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (213) all_299_0 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (213) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (214) all_299_0 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (203) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (215) all_341_0 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (215) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (216) all_341_0 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (195) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (217) all_323_1 = all_200_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (218) all_323_1 = all_293_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (193) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (219) all_341_1 = all_323_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (220) all_341_1 = all_323_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (216) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (221) all_329_1 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (221) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (222) all_329_1 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (220) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (223) all_323_1 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (223) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (224) all_323_1 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (191) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (225) all_299_1 = all_293_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (189), (190) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (226) all_305_1 = all_299_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (227) all_305_1 = all_299_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (210), (222) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (228) all_323_0 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (229) all_323_0 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (179) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (230) all_305_0 = all_293_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (229) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (231) all_305_0 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (224) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (232) all_293_0 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (232) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (233) all_293_0 = all_265_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (224) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (234) all_265_0 = all_200_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (230), (231) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (235) all_293_1 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (235) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (236) all_293_1 = all_265_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (227) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (237) all_299_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (237) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (238) all_299_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (177), (214) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (239) all_206_0 = all_200_1
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (214) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (240) all_293_1 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (241) all_293_1 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (225), (238) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (242) all_293_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (242) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (243) all_293_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (243) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (244) all_265_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (244) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (245) all_265_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (175), (236) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (246) all_265_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (241) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (247) all_265_1 = all_206_0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (234), (245) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (248) all_200_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (247) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (249) all_206_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (250) all_206_0 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (250) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (251) all_200_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | (252) all_200_1 = 0
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | (253) ~ (all_200_0 = 0)
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | REDUCE: (248), (253) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | (254) $false
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | CLOSE: (254) is inconsistent.
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | (255) ~ (all_200_1 = 0)
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | REDUCE: (252), (255) imply:
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | (256) $false
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 83.97/12.16 | | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | | |
% 83.97/12.16 | | | | | | | | | End of split
% 83.97/12.16 | | | | | | | | |
% 83.97/12.16 | | | | | | | | End of split
% 83.97/12.16 | | | | | | | |
% 83.97/12.16 | | | | | | | End of split
% 83.97/12.16 | | | | | | |
% 83.97/12.16 | | | | | | End of split
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | End of split
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | End of split
% 83.97/12.16 | | | |
% 83.97/12.16 | | | Case 2:
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | (257) ~ (all_56_0 = all_48_2)
% 83.97/12.16 | | | | (258) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_4,
% 83.97/12.16 | | | | all_96_3, all_56_0) = v2 & member(all_96_3, all_32_2) = v0
% 83.97/12.16 | | | | & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 =
% 83.97/12.16 | | | | 0) | ~ (v0 = 0)))
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | DELTA: instantiating (258) with fresh symbols all_179_0, all_179_1,
% 83.97/12.16 | | | | all_179_2 gives:
% 83.97/12.16 | | | | (259) apply(all_32_4, all_96_3, all_56_0) = all_179_0 &
% 83.97/12.16 | | | | member(all_96_3, all_32_2) = all_179_2 & member(all_48_2,
% 83.97/12.16 | | | | all_32_3) = all_179_1 & ( ~ (all_179_0 = 0) | ~ (all_179_1 =
% 83.97/12.16 | | | | 0) | ~ (all_179_2 = 0))
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | ALPHA: (259) implies:
% 83.97/12.16 | | | | (260) apply(all_32_4, all_96_3, all_56_0) = all_179_0
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | REDUCE: (9), (260) imply:
% 83.97/12.16 | | | | (261) apply(all_32_4, all_48_0, all_56_0) = all_179_0
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | BETA: splitting (31) gives:
% 83.97/12.16 | | | |
% 83.97/12.16 | | | | Case 1:
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | (262) all_88_0 = all_48_2
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | COMBINE_EQS: (37), (262) imply:
% 83.97/12.16 | | | | | (263) all_56_0 = all_48_2
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | SIMP: (263) implies:
% 83.97/12.16 | | | | | (264) all_56_0 = all_48_2
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | REDUCE: (257), (264) imply:
% 83.97/12.16 | | | | | (265) $false
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | CLOSE: (265) is inconsistent.
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | Case 2:
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | (266) ~ (all_88_0 = all_48_2)
% 83.97/12.16 | | | | | (267) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_96_3,
% 83.97/12.16 | | | | | all_88_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.97/12.16 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | DELTA: instantiating (267) with fresh symbols all_194_0, all_194_1
% 83.97/12.16 | | | | | gives:
% 83.97/12.16 | | | | | (268) apply(all_32_4, all_96_3, all_88_0) = all_194_1 &
% 83.97/12.16 | | | | | apply(all_32_4, all_96_3, all_48_2) = all_194_0 & ( ~
% 83.97/12.16 | | | | | (all_194_0 = 0) | ~ (all_194_1 = 0))
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | ALPHA: (268) implies:
% 83.97/12.16 | | | | | (269) apply(all_32_4, all_96_3, all_48_2) = all_194_0
% 83.97/12.16 | | | | | (270) apply(all_32_4, all_96_3, all_88_0) = all_194_1
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | REDUCE: (9), (37), (270) imply:
% 83.97/12.16 | | | | | (271) apply(all_32_4, all_48_0, all_56_0) = all_194_1
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | REDUCE: (9), (269) imply:
% 83.97/12.16 | | | | | (272) apply(all_32_4, all_48_0, all_48_2) = all_194_0
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | BETA: splitting (3) gives:
% 83.97/12.16 | | | | |
% 83.97/12.16 | | | | | Case 1:
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | (273) all_88_0 = all_48_2
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | COMBINE_EQS: (37), (273) imply:
% 83.97/12.16 | | | | | | (274) all_56_0 = all_48_2
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | SIMP: (274) implies:
% 83.97/12.16 | | | | | | (275) all_56_0 = all_48_2
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | REDUCE: (257), (275) imply:
% 83.97/12.16 | | | | | | (276) $false
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | CLOSE: (276) is inconsistent.
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | Case 2:
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | (277) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.16 | | | | | | (apply(all_32_4, all_96_3, all_88_0) = v2 &
% 83.97/12.16 | | | | | | member(all_96_3, all_32_2) = v0 & member(all_48_2,
% 83.97/12.16 | | | | | | all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 83.97/12.16 | | | | | | 0)))
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | DELTA: instantiating (277) with fresh symbols all_200_0, all_200_1,
% 83.97/12.16 | | | | | | all_200_2 gives:
% 83.97/12.16 | | | | | | (278) apply(all_32_4, all_96_3, all_88_0) = all_200_0 &
% 83.97/12.16 | | | | | | member(all_96_3, all_32_2) = all_200_2 & member(all_48_2,
% 83.97/12.16 | | | | | | all_32_3) = all_200_1 & ( ~ (all_200_0 = 0) | ~
% 83.97/12.16 | | | | | | (all_200_1 = 0) | ~ (all_200_2 = 0))
% 83.97/12.16 | | | | | |
% 83.97/12.16 | | | | | | ALPHA: (278) implies:
% 83.97/12.17 | | | | | | (279) apply(all_32_4, all_96_3, all_88_0) = all_200_0
% 83.97/12.17 | | | | | |
% 83.97/12.17 | | | | | | REDUCE: (9), (37), (279) imply:
% 83.97/12.17 | | | | | | (280) apply(all_32_4, all_48_0, all_56_0) = all_200_0
% 83.97/12.17 | | | | | |
% 83.97/12.17 | | | | | | BETA: splitting (11) gives:
% 83.97/12.17 | | | | | |
% 83.97/12.17 | | | | | | Case 1:
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | (281) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | REDUCE: (257), (281) imply:
% 83.97/12.17 | | | | | | | (282) $false
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | CLOSE: (282) is inconsistent.
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | Case 2:
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | (283) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_96_3,
% 83.97/12.17 | | | | | | | all_56_0) = v0 & apply(all_32_4, all_96_3, all_48_2)
% 83.97/12.17 | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | DELTA: instantiating (283) with fresh symbols all_206_0, all_206_1
% 83.97/12.17 | | | | | | | gives:
% 83.97/12.17 | | | | | | | (284) apply(all_32_4, all_96_3, all_56_0) = all_206_1 &
% 83.97/12.17 | | | | | | | apply(all_32_4, all_96_3, all_48_2) = all_206_0 & ( ~
% 83.97/12.17 | | | | | | | (all_206_0 = 0) | ~ (all_206_1 = 0))
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | ALPHA: (284) implies:
% 83.97/12.17 | | | | | | | (285) apply(all_32_4, all_96_3, all_48_2) = all_206_0
% 83.97/12.17 | | | | | | | (286) apply(all_32_4, all_96_3, all_56_0) = all_206_1
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | REDUCE: (9), (286) imply:
% 83.97/12.17 | | | | | | | (287) apply(all_32_4, all_48_0, all_56_0) = all_206_1
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | REDUCE: (9), (285) imply:
% 83.97/12.17 | | | | | | | (288) apply(all_32_4, all_48_0, all_48_2) = all_206_0
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | BETA: splitting (14) gives:
% 83.97/12.17 | | | | | | |
% 83.97/12.17 | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | (289) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | REDUCE: (257), (289) imply:
% 83.97/12.17 | | | | | | | | (290) $false
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | CLOSE: (290) is inconsistent.
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | (291) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | all_58_0, all_56_0) = v0 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | all_58_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 83.97/12.17 | | | | | | | | 0)))
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | DELTA: instantiating (291) with fresh symbols all_212_0,
% 83.97/12.17 | | | | | | | | all_212_1 gives:
% 83.97/12.17 | | | | | | | | (292) apply(all_32_4, all_58_0, all_56_0) = all_212_1 &
% 83.97/12.17 | | | | | | | | apply(all_32_4, all_58_0, all_48_2) = all_212_0 & ( ~
% 83.97/12.17 | | | | | | | | (all_212_0 = 0) | ~ (all_212_1 = 0))
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | ALPHA: (292) implies:
% 83.97/12.17 | | | | | | | | (293) apply(all_32_4, all_58_0, all_48_2) = all_212_0
% 83.97/12.17 | | | | | | | | (294) apply(all_32_4, all_58_0, all_56_0) = all_212_1
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | REDUCE: (39), (294) imply:
% 83.97/12.17 | | | | | | | | (295) apply(all_32_4, all_48_0, all_56_0) = all_212_1
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | REDUCE: (39), (293) imply:
% 83.97/12.17 | | | | | | | | (296) apply(all_32_4, all_48_0, all_48_2) = all_212_0
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | BETA: splitting (46) gives:
% 83.97/12.17 | | | | | | | |
% 83.97/12.17 | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | (297) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | REDUCE: (257), (297) imply:
% 83.97/12.17 | | | | | | | | | (298) $false
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | CLOSE: (298) is inconsistent.
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | (299) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | | all_96_3, all_56_0) = v1 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | | all_96_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0
% 83.97/12.17 | | | | | | | | | = 0)))
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | DELTA: instantiating (299) with fresh symbols all_218_0,
% 83.97/12.17 | | | | | | | | | all_218_1 gives:
% 83.97/12.17 | | | | | | | | | (300) apply(all_32_4, all_96_3, all_56_0) = all_218_0 &
% 83.97/12.17 | | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = all_218_1 & ( ~
% 83.97/12.17 | | | | | | | | | (all_218_0 = 0) | ~ (all_218_1 = 0))
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | ALPHA: (300) implies:
% 83.97/12.17 | | | | | | | | | (301) apply(all_32_4, all_96_3, all_48_2) = all_218_1
% 83.97/12.17 | | | | | | | | | (302) apply(all_32_4, all_96_3, all_56_0) = all_218_0
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | REDUCE: (9), (302) imply:
% 83.97/12.17 | | | | | | | | | (303) apply(all_32_4, all_48_0, all_56_0) = all_218_0
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | REDUCE: (9), (301) imply:
% 83.97/12.17 | | | | | | | | | (304) apply(all_32_4, all_48_0, all_48_2) = all_218_1
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | BETA: splitting (42) gives:
% 83.97/12.17 | | | | | | | | |
% 83.97/12.17 | | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | (305) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | REDUCE: (257), (305) imply:
% 83.97/12.17 | | | | | | | | | | (306) $false
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | CLOSE: (306) is inconsistent.
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | (307) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.17 | | | | | | | | | | (apply(all_32_4, all_48_0, all_48_2) = v2 &
% 83.97/12.17 | | | | | | | | | | member(all_56_0, all_32_3) = v1 &
% 83.97/12.17 | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 83.97/12.17 | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | DELTA: instantiating (307) with fresh symbols all_239_0,
% 83.97/12.17 | | | | | | | | | | all_239_1, all_239_2 gives:
% 83.97/12.17 | | | | | | | | | | (308) apply(all_32_4, all_48_0, all_48_2) = all_239_0 &
% 83.97/12.17 | | | | | | | | | | member(all_56_0, all_32_3) = all_239_1 &
% 83.97/12.17 | | | | | | | | | | member(all_48_0, all_32_2) = all_239_2 & ( ~
% 83.97/12.17 | | | | | | | | | | (all_239_0 = 0) | ~ (all_239_1 = 0) | ~
% 83.97/12.17 | | | | | | | | | | (all_239_2 = 0))
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | ALPHA: (308) implies:
% 83.97/12.17 | | | | | | | | | | (309) apply(all_32_4, all_48_0, all_48_2) = all_239_0
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | BETA: splitting (13) gives:
% 83.97/12.17 | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | (310) all_88_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | COMBINE_EQS: (37), (310) imply:
% 83.97/12.17 | | | | | | | | | | | (311) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | SIMP: (311) implies:
% 83.97/12.17 | | | | | | | | | | | (312) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | REDUCE: (257), (312) imply:
% 83.97/12.17 | | | | | | | | | | | (313) $false
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | CLOSE: (313) is inconsistent.
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | (314) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | all_48_0, all_88_0) = v0 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.17 | | | | | | | | | | | (v0 = 0)))
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | DELTA: instantiating (314) with fresh symbols all_245_0,
% 83.97/12.17 | | | | | | | | | | | all_245_1 gives:
% 83.97/12.17 | | | | | | | | | | | (315) apply(all_32_4, all_48_0, all_88_0) = all_245_1 &
% 83.97/12.17 | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_245_0 &
% 83.97/12.17 | | | | | | | | | | | ( ~ (all_245_0 = 0) | ~ (all_245_1 = 0))
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | ALPHA: (315) implies:
% 83.97/12.17 | | | | | | | | | | | (316) apply(all_32_4, all_48_0, all_48_2) = all_245_0
% 83.97/12.17 | | | | | | | | | | | (317) apply(all_32_4, all_48_0, all_88_0) = all_245_1
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | REDUCE: (37), (317) imply:
% 83.97/12.17 | | | | | | | | | | | (318) apply(all_32_4, all_48_0, all_56_0) = all_245_1
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | BETA: splitting (18) gives:
% 83.97/12.17 | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | (319) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | REDUCE: (257), (319) imply:
% 83.97/12.17 | | | | | | | | | | | | (320) $false
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | (321) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | all_58_0, all_56_0) = v1 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | all_58_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.17 | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | DELTA: instantiating (321) with fresh symbols all_256_0,
% 83.97/12.17 | | | | | | | | | | | | all_256_1 gives:
% 83.97/12.17 | | | | | | | | | | | | (322) apply(all_32_4, all_58_0, all_56_0) = all_256_0 &
% 83.97/12.17 | | | | | | | | | | | | apply(all_32_4, all_58_0, all_48_2) = all_256_1 &
% 83.97/12.17 | | | | | | | | | | | | ( ~ (all_256_0 = 0) | ~ (all_256_1 = 0))
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | ALPHA: (322) implies:
% 83.97/12.17 | | | | | | | | | | | | (323) apply(all_32_4, all_58_0, all_48_2) = all_256_1
% 83.97/12.17 | | | | | | | | | | | | (324) apply(all_32_4, all_58_0, all_56_0) = all_256_0
% 83.97/12.17 | | | | | | | | | | | | (325) ~ (all_256_0 = 0) | ~ (all_256_1 = 0)
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | REDUCE: (39), (324) imply:
% 83.97/12.17 | | | | | | | | | | | | (326) apply(all_32_4, all_48_0, all_56_0) = all_256_0
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | REDUCE: (39), (323) imply:
% 83.97/12.17 | | | | | | | | | | | | (327) apply(all_32_4, all_48_0, all_48_2) = all_256_1
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | BETA: splitting (50) gives:
% 83.97/12.17 | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | (328) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | REDUCE: (257), (328) imply:
% 83.97/12.17 | | | | | | | | | | | | | (329) $false
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | CLOSE: (329) is inconsistent.
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | (330) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | | all_60_0, all_56_0) = v1 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | | all_60_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.17 | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | DELTA: instantiating (330) with fresh symbols all_262_0,
% 83.97/12.17 | | | | | | | | | | | | | all_262_1 gives:
% 83.97/12.17 | | | | | | | | | | | | | (331) apply(all_32_4, all_60_0, all_56_0) = all_262_0 &
% 83.97/12.17 | | | | | | | | | | | | | apply(all_32_4, all_60_0, all_48_2) = all_262_1 &
% 83.97/12.17 | | | | | | | | | | | | | ( ~ (all_262_0 = 0) | ~ (all_262_1 = 0))
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | ALPHA: (331) implies:
% 83.97/12.17 | | | | | | | | | | | | | (332) apply(all_32_4, all_60_0, all_48_2) = all_262_1
% 83.97/12.17 | | | | | | | | | | | | | (333) apply(all_32_4, all_60_0, all_56_0) = all_262_0
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | REDUCE: (21), (333) imply:
% 83.97/12.17 | | | | | | | | | | | | | (334) apply(all_32_4, all_48_0, all_56_0) = all_262_0
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | REDUCE: (21), (332) imply:
% 83.97/12.17 | | | | | | | | | | | | | (335) apply(all_32_4, all_48_0, all_48_2) = all_262_1
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | BETA: splitting (19) gives:
% 83.97/12.17 | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | Case 1:
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | (336) all_56_0 = all_48_2
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | REDUCE: (257), (336) imply:
% 83.97/12.17 | | | | | | | | | | | | | | (337) $false
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | Case 2:
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | (338) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 83.97/12.17 | | | | | | | | | | | | | | all_60_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.17 | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | DELTA: instantiating (338) with fresh symbols all_320_0,
% 83.97/12.17 | | | | | | | | | | | | | | all_320_1 gives:
% 83.97/12.17 | | | | | | | | | | | | | | (339) apply(all_32_4, all_60_0, all_56_0) = all_320_1 &
% 83.97/12.17 | | | | | | | | | | | | | | apply(all_32_4, all_60_0, all_48_2) = all_320_0 &
% 83.97/12.17 | | | | | | | | | | | | | | ( ~ (all_320_0 = 0) | ~ (all_320_1 = 0))
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | ALPHA: (339) implies:
% 83.97/12.17 | | | | | | | | | | | | | | (340) apply(all_32_4, all_60_0, all_48_2) = all_320_0
% 83.97/12.17 | | | | | | | | | | | | | | (341) apply(all_32_4, all_60_0, all_56_0) = all_320_1
% 83.97/12.17 | | | | | | | | | | | | | |
% 83.97/12.17 | | | | | | | | | | | | | | REDUCE: (21), (341) imply:
% 83.97/12.18 | | | | | | | | | | | | | | (342) apply(all_32_4, all_48_0, all_56_0) = all_320_1
% 83.97/12.18 | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | REDUCE: (21), (340) imply:
% 83.97/12.18 | | | | | | | | | | | | | | (343) apply(all_32_4, all_48_0, all_48_2) = all_320_0
% 83.97/12.18 | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 83.97/12.18 | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | (344) all_90_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | COMBINE_EQS: (51), (344) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | (345) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | REDUCE: (257), (345) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | (346) $false
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | CLOSE: (346) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | (347) ~ (all_90_0 = all_48_2)
% 83.97/12.18 | | | | | | | | | | | | | | | (348) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | all_48_0, all_90_0) = v0 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | DELTA: instantiating (348) with fresh symbols all_326_0,
% 83.97/12.18 | | | | | | | | | | | | | | | all_326_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | (349) apply(all_32_4, all_48_0, all_90_0) = all_326_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_326_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | ( ~ (all_326_0 = 0) | ~ (all_326_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | (350) apply(all_32_4, all_48_0, all_48_2) = all_326_0
% 83.97/12.18 | | | | | | | | | | | | | | | (351) apply(all_32_4, all_48_0, all_90_0) = all_326_1
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | REDUCE: (51), (351) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | (352) apply(all_32_4, all_48_0, all_56_0) = all_326_1
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 83.97/12.18 | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | (353) all_90_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (353) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | (354) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | REDUCE: (257), (354) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | (355) $false
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | CLOSE: (355) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | (356) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | all_48_0, all_90_0) = v1 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | all_48_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | DELTA: instantiating (356) with fresh symbols all_338_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | all_338_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | (357) apply(all_32_4, all_48_0, all_90_0) = all_338_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_338_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | | ( ~ (all_338_0 = 0) | ~ (all_338_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | (358) apply(all_32_4, all_48_0, all_48_2) = all_338_1
% 83.97/12.18 | | | | | | | | | | | | | | | | (359) apply(all_32_4, all_48_0, all_90_0) = all_338_0
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | REDUCE: (51), (359) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | (360) apply(all_32_4, all_48_0, all_56_0) = all_338_0
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | (361) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | REDUCE: (257), (361) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | (362) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | (363) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | all_48_0, all_56_0) = v0 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | DELTA: instantiating (363) with fresh symbols all_344_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | all_344_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | (364) apply(all_32_4, all_48_0, all_56_0) = all_344_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_344_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | ( ~ (all_344_0 = 0) | ~ (all_344_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | (365) apply(all_32_4, all_48_0, all_48_2) = all_344_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | (366) apply(all_32_4, all_48_0, all_56_0) = all_344_1
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (367) all_88_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (367) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (368) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | SIMP: (368) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (369) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | REDUCE: (257), (369) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (370) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (371) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | all_96_3, all_88_0) = v1 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | all_96_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | DELTA: instantiating (371) with fresh symbols all_356_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | all_356_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (372) apply(all_32_4, all_96_3, all_88_0) = all_356_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = all_356_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | ( ~ (all_356_0 = 0) | ~ (all_356_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (373) apply(all_32_4, all_96_3, all_48_2) = all_356_1
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (374) apply(all_32_4, all_96_3, all_88_0) = all_356_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | REDUCE: (9), (37), (374) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (375) apply(all_32_4, all_48_0, all_56_0) = all_356_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | REDUCE: (9), (373) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | (376) apply(all_32_4, all_48_0, all_48_2) = all_356_1
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (377) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | REDUCE: (257), (377) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (378) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (379) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | all_48_0, all_56_0) = v1 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | all_48_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (379) with fresh symbols all_362_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | all_362_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (380) apply(all_32_4, all_48_0, all_56_0) = all_362_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_362_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | ( ~ (all_362_0 = 0) | ~ (all_362_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (381) apply(all_32_4, all_48_0, all_48_2) = all_362_1
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | (382) apply(all_32_4, all_48_0, all_56_0) = all_362_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (383) all_90_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (383) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (384) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (384) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (385) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (386) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (apply(all_32_4, all_96_3, all_90_0) = v2 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | member(all_96_3, all_32_2) = v0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (386) with fresh symbols all_368_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | all_368_1, all_368_2 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (387) apply(all_32_4, all_96_3, all_90_0) = all_368_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | member(all_96_3, all_32_2) = all_368_2 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | member(all_48_2, all_32_3) = all_368_1 & ( ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (all_368_0 = 0) | ~ (all_368_1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (all_368_2 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (388) apply(all_32_4, all_96_3, all_90_0) = all_368_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (51), (388) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | (389) apply(all_32_4, all_48_0, all_56_0) = all_368_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (390) all_90_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (390) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (391) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (391) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (392) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (393) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | all_96_3, all_90_0) = v1 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | all_96_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (393) with fresh symbols all_374_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | all_374_1 gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (394) apply(all_32_4, all_96_3, all_90_0) = all_374_0 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = all_374_1 &
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_374_0 = 0) | ~ (all_374_1 = 0))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (395) apply(all_32_4, all_96_3, all_48_2) = all_374_1
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (396) apply(all_32_4, all_96_3, all_90_0) = all_374_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (51), (396) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (397) apply(all_32_4, all_48_0, all_56_0) = all_374_0
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (395) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | (398) apply(all_32_4, all_48_0, all_48_2) = all_374_1
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | (399) all_90_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (399) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | (400) all_56_0 = all_48_2
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (400) imply:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | (401) $false
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (401) is inconsistent.
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | (402) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | all_96_3, all_90_0) = v0 & apply(all_32_4,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | all_96_3, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (402) with fresh symbols all_380_0,
% 83.97/12.18 | | | | | | | | | | | | | | | | | | | | | | all_380_1 gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (403) apply(all_32_4, all_96_3, all_90_0) = all_380_1 &
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_96_3, all_48_2) = all_380_0 &
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_380_0 = 0) | ~ (all_380_1 = 0))
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (403) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (404) apply(all_32_4, all_96_3, all_48_2) = all_380_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (405) apply(all_32_4, all_96_3, all_90_0) = all_380_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (51), (405) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (406) apply(all_32_4, all_48_0, all_56_0) = all_380_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (404) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (407) apply(all_32_4, all_48_0, all_48_2) = all_380_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with 0, all_206_0, all_48_2,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (20), (288)
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (408) all_206_0 = 0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_71_0, all_212_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (38), (296) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (409) all_212_0 = all_71_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_206_0, all_218_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (288), (304) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (410) all_218_1 = all_206_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_212_0, all_239_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (296), (309) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (411) all_239_0 = all_212_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_239_0, all_256_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (309), (327) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (412) all_256_1 = all_239_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_194_0, all_256_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (272), (327) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (413) all_256_1 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_256_1, all_262_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (327), (335) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (414) all_262_1 = all_256_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_338_1, all_344_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (358), (365) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (415) all_344_0 = all_338_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_326_0, all_344_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (350), (365) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (416) all_344_0 = all_326_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_344_0, all_356_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (365), (376) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (417) all_356_1 = all_344_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_245_0, all_356_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (316), (376) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (418) all_356_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_344_0, all_362_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (365), (381) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (419) all_362_1 = all_344_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_320_0, all_362_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (343), (381) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (420) all_362_1 = all_320_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_262_1, all_362_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (335), (381) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (421) all_362_1 = all_262_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_239_0, all_374_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (309), (398) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (422) all_374_1 = all_239_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_206_0, all_374_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (288), (398) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (423) all_374_1 = all_206_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_173_0, all_374_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (66), (398) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (424) all_374_1 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_218_1, all_380_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (304), (407) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (425) all_380_0 = all_218_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_168_1, all_380_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (60), (407) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (426) all_380_0 = all_168_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_212_1, all_218_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (295), (303) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (427) all_218_0 = all_212_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with 0, all_262_0, all_56_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (26), (334)
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (428) all_262_0 = 0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_218_0, all_262_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (303), (334) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (429) all_262_0 = all_218_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_206_1, all_262_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (287), (334) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (430) all_262_0 = all_206_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_256_0, all_320_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (326), (342) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (431) all_320_1 = all_256_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_218_0, all_326_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (303), (352) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (432) all_326_1 = all_218_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_326_1, all_338_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (352), (360) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (433) all_338_0 = all_326_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_320_1, all_344_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (342), (366) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (434) all_344_1 = all_320_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_245_1, all_344_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (318), (366) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (435) all_344_1 = all_245_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_320_1, all_356_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (342), (375) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (436) all_356_0 = all_320_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_320_1, all_362_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (342), (382) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (437) all_362_0 = all_320_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_262_0, all_362_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (334), (382) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (438) all_362_0 = all_262_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_194_1, all_362_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (271), (382) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (439) all_362_0 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_356_0, all_368_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (375), (389) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (440) all_368_0 = all_356_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_368_0, all_374_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (389), (397) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (441) all_374_0 = all_368_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_179_0, all_374_0,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (261), (397) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (442) all_374_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_338_0, all_380_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (360), (406) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (443) all_380_1 = all_338_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_200_0, all_380_1,
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (280), (406) gives:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (444) all_380_1 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (426) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (445) all_218_1 = all_168_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (445) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (446) all_218_1 = all_168_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (444) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (447) all_338_0 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (448) all_338_0 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (442) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (449) all_368_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (449) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (450) all_368_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (424) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (451) all_206_0 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (452) all_206_0 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (424) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (453) all_239_0 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (453) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (454) all_239_0 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (450) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (455) all_356_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (456) all_356_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (439) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (457) all_262_0 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (458) all_262_0 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (439) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (459) all_320_1 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (460) all_320_1 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (421) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (461) all_320_0 = all_262_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (420) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (462) all_344_0 = all_320_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (463) all_344_0 = all_320_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (456) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (464) all_320_1 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (465) all_320_1 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (417), (418) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (466) all_344_0 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (467) all_344_0 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (468) all_338_1 = all_326_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (463) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (469) all_338_1 = all_320_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (467) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (470) all_338_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (435) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (471) all_320_1 = all_245_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (472) all_320_1 = all_245_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (448) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (473) all_326_1 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (474) all_326_1 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (470) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (475) all_326_0 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (469) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (476) all_326_0 = all_320_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (476) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (477) all_320_0 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (477) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (478) all_320_0 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (474) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (479) all_218_0 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (479) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (480) all_218_0 = all_200_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (478) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (481) all_262_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (481) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (482) all_262_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (472) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (483) all_256_0 = all_245_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (460) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (484) all_256_0 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (465) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (485) all_256_0 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (430) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (486) all_206_1 = 0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (458) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (487) all_206_1 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (430) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (488) all_218_0 = all_206_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (488) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (489) all_218_0 = all_206_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (482) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (490) all_256_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (491) all_256_1 = all_245_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (485) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (492) all_245_1 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (484) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (493) all_245_1 = all_194_1
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (491) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (494) all_245_0 = all_239_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (491) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (495) all_245_0 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (495) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (496) all_239_0 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (496) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (497) all_239_0 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (493) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (498) all_194_1 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (499) all_194_1 = all_179_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (497) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (500) all_194_0 = all_173_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (497) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (501) all_212_0 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (501) implies:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (502) all_212_0 = all_194_0
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (489) imply:
% 83.97/12.19 | | | | | | | | | | | | | | | | | | | | | | (503) all_212_1 = all_206_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (480) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (504) all_212_1 = all_200_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (446) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (505) all_206_0 = all_168_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (505) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (506) all_206_0 = all_168_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (502) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (507) all_194_0 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (507) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (508) all_194_0 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (504) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (509) all_206_1 = all_200_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (509) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (510) all_206_1 = all_200_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (506) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (511) all_168_1 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (506) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (512) all_173_0 = all_168_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (512) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (513) all_173_0 = all_168_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (510) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (514) all_200_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (510) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (515) all_200_0 = all_194_1
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (515) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (516) all_194_1 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (516) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (517) all_194_1 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (508) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (518) all_173_0 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (518) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (519) all_173_0 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (517) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (520) all_179_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (521) all_179_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (519) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (522) all_168_1 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | SIMP: (522) implies:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (523) all_168_1 = all_71_0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (523) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (524) all_71_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (524) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (525) all_194_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (521) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (526) all_245_1 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (525) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (527) all_245_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (527) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (528) all_256_1 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (526) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | (529) all_256_0 = 0
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | (530) ~ (all_256_0 = 0)
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (530) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | (531) $false
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (531) is inconsistent.
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | (532) ~ (all_256_1 = 0)
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (532) imply:
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | (533) $false
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (533) is inconsistent.
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | | |
% 83.97/12.20 | | | | | | | | | End of split
% 83.97/12.20 | | | | | | | | |
% 83.97/12.20 | | | | | | | | End of split
% 83.97/12.20 | | | | | | | |
% 83.97/12.20 | | | | | | | End of split
% 83.97/12.20 | | | | | | |
% 83.97/12.20 | | | | | | End of split
% 83.97/12.20 | | | | | |
% 83.97/12.20 | | | | | End of split
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | End of split
% 83.97/12.20 | | | |
% 83.97/12.20 | | | End of split
% 83.97/12.20 | | |
% 83.97/12.20 | | End of split
% 83.97/12.20 | |
% 83.97/12.20 | End of split
% 83.97/12.20 |
% 83.97/12.20 End of proof
% 83.97/12.20
% 83.97/12.20 Sub-proof #5 shows that the following formulas are inconsistent:
% 83.97/12.20 ----------------------------------------------------------------
% 83.97/12.20 (1) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.20 all_48_1, all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.97/12.20 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.20 (2) apply(all_32_5, all_48_1, all_48_0) = 0
% 83.97/12.20 (3) all_96_3 = all_48_0
% 83.97/12.20 (4) apply(all_32_5, all_48_1, all_94_3) = 0
% 83.97/12.20 (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.97/12.20 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.97/12.20 (apply(v4, v3, v2) = v0))
% 83.97/12.20 (6) all_92_0 = all_48_0
% 83.97/12.20 (7) ~ (all_94_3 = all_48_0)
% 83.97/12.20 (8) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.20 all_48_1, all_96_3) = v0 & apply(all_32_5, all_48_1, all_94_3) = v1 &
% 83.97/12.20 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.20 (9) all_94_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.20 all_48_1, all_94_3) = v0 & apply(all_32_5, all_48_1, all_48_0) = v1 &
% 83.97/12.20 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.20 (10) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.20 (apply(all_32_5, all_48_1, all_92_0) = v2 & member(all_94_3, all_32_2) =
% 83.97/12.20 v1 & member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.20 (v0 = 0)))
% 83.97/12.20
% 83.97/12.20 Begin of proof
% 83.97/12.20 |
% 83.97/12.20 | BETA: splitting (10) gives:
% 83.97/12.20 |
% 83.97/12.20 | Case 1:
% 83.97/12.20 | |
% 83.97/12.20 | | (11) all_94_3 = all_92_0
% 83.97/12.20 | |
% 83.97/12.20 | | COMBINE_EQS: (6), (11) imply:
% 83.97/12.20 | | (12) all_94_3 = all_48_0
% 83.97/12.20 | |
% 83.97/12.20 | | REDUCE: (7), (12) imply:
% 83.97/12.20 | | (13) $false
% 83.97/12.20 | |
% 83.97/12.20 | | CLOSE: (13) is inconsistent.
% 83.97/12.20 | |
% 83.97/12.20 | Case 2:
% 83.97/12.20 | |
% 83.97/12.20 | | (14) ~ (all_94_3 = all_92_0)
% 83.97/12.20 | | (15) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_5,
% 83.97/12.20 | | all_48_1, all_92_0) = v2 & member(all_94_3, all_32_2) = v1 &
% 83.97/12.20 | | member(all_48_1, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.20 | | (v0 = 0)))
% 83.97/12.20 | |
% 83.97/12.20 | | DELTA: instantiating (15) with fresh symbols all_245_0, all_245_1, all_245_2
% 83.97/12.20 | | gives:
% 83.97/12.20 | | (16) apply(all_32_5, all_48_1, all_92_0) = all_245_0 & member(all_94_3,
% 83.97/12.20 | | all_32_2) = all_245_1 & member(all_48_1, all_32_3) = all_245_2 & (
% 83.97/12.20 | | ~ (all_245_0 = 0) | ~ (all_245_1 = 0) | ~ (all_245_2 = 0))
% 83.97/12.20 | |
% 83.97/12.20 | | ALPHA: (16) implies:
% 83.97/12.20 | | (17) apply(all_32_5, all_48_1, all_92_0) = all_245_0
% 83.97/12.20 | |
% 83.97/12.20 | | REDUCE: (6), (17) imply:
% 83.97/12.20 | | (18) apply(all_32_5, all_48_1, all_48_0) = all_245_0
% 83.97/12.20 | |
% 83.97/12.20 | | BETA: splitting (9) gives:
% 83.97/12.20 | |
% 83.97/12.20 | | Case 1:
% 83.97/12.20 | | |
% 83.97/12.20 | | | (19) all_94_3 = all_48_0
% 83.97/12.20 | | |
% 83.97/12.20 | | | REDUCE: (7), (19) imply:
% 83.97/12.20 | | | (20) $false
% 83.97/12.20 | | |
% 83.97/12.20 | | | CLOSE: (20) is inconsistent.
% 83.97/12.20 | | |
% 83.97/12.20 | | Case 2:
% 83.97/12.20 | | |
% 83.97/12.20 | | | (21) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_1, all_94_3)
% 83.97/12.20 | | | = v0 & apply(all_32_5, all_48_1, all_48_0) = v1 & ( ~ (v1 = 0) |
% 83.97/12.20 | | | ~ (v0 = 0)))
% 83.97/12.20 | | |
% 83.97/12.20 | | | DELTA: instantiating (21) with fresh symbols all_299_0, all_299_1 gives:
% 83.97/12.20 | | | (22) apply(all_32_5, all_48_1, all_94_3) = all_299_1 & apply(all_32_5,
% 83.97/12.20 | | | all_48_1, all_48_0) = all_299_0 & ( ~ (all_299_0 = 0) | ~
% 83.97/12.20 | | | (all_299_1 = 0))
% 83.97/12.20 | | |
% 83.97/12.20 | | | ALPHA: (22) implies:
% 83.97/12.20 | | | (23) apply(all_32_5, all_48_1, all_48_0) = all_299_0
% 83.97/12.20 | | | (24) apply(all_32_5, all_48_1, all_94_3) = all_299_1
% 83.97/12.20 | | | (25) ~ (all_299_0 = 0) | ~ (all_299_1 = 0)
% 83.97/12.20 | | |
% 83.97/12.20 | | | BETA: splitting (1) gives:
% 83.97/12.20 | | |
% 83.97/12.20 | | | Case 1:
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | (26) all_96_3 = all_94_3
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | COMBINE_EQS: (3), (26) imply:
% 83.97/12.20 | | | | (27) all_94_3 = all_48_0
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | SIMP: (27) implies:
% 83.97/12.20 | | | | (28) all_94_3 = all_48_0
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | REDUCE: (7), (28) imply:
% 83.97/12.20 | | | | (29) $false
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | CLOSE: (29) is inconsistent.
% 83.97/12.20 | | | |
% 83.97/12.20 | | | Case 2:
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | (30) ~ (all_96_3 = all_94_3)
% 83.97/12.20 | | | | (31) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_1,
% 83.97/12.20 | | | | all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.97/12.20 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | DELTA: instantiating (31) with fresh symbols all_317_0, all_317_1 gives:
% 83.97/12.20 | | | | (32) apply(all_32_5, all_48_1, all_96_3) = all_317_0 &
% 83.97/12.20 | | | | apply(all_32_5, all_48_1, all_94_3) = all_317_1 & ( ~ (all_317_0
% 83.97/12.20 | | | | = 0) | ~ (all_317_1 = 0))
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | ALPHA: (32) implies:
% 83.97/12.20 | | | | (33) apply(all_32_5, all_48_1, all_94_3) = all_317_1
% 83.97/12.20 | | | | (34) apply(all_32_5, all_48_1, all_96_3) = all_317_0
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | REDUCE: (3), (30) imply:
% 83.97/12.20 | | | | (35) ~ (all_94_3 = all_48_0)
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | REDUCE: (3), (34) imply:
% 83.97/12.20 | | | | (36) apply(all_32_5, all_48_1, all_48_0) = all_317_0
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | BETA: splitting (8) gives:
% 83.97/12.20 | | | |
% 83.97/12.20 | | | | Case 1:
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | (37) all_96_3 = all_94_3
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | COMBINE_EQS: (3), (37) imply:
% 83.97/12.20 | | | | | (38) all_94_3 = all_48_0
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | SIMP: (38) implies:
% 83.97/12.20 | | | | | (39) all_94_3 = all_48_0
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | REDUCE: (7), (39) imply:
% 83.97/12.20 | | | | | (40) $false
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | CLOSE: (40) is inconsistent.
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | Case 2:
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | (41) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_1,
% 83.97/12.20 | | | | | all_96_3) = v0 & apply(all_32_5, all_48_1, all_94_3) = v1
% 83.97/12.20 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | DELTA: instantiating (41) with fresh symbols all_323_0, all_323_1
% 83.97/12.20 | | | | | gives:
% 83.97/12.20 | | | | | (42) apply(all_32_5, all_48_1, all_96_3) = all_323_1 &
% 83.97/12.20 | | | | | apply(all_32_5, all_48_1, all_94_3) = all_323_0 & ( ~
% 83.97/12.20 | | | | | (all_323_0 = 0) | ~ (all_323_1 = 0))
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | ALPHA: (42) implies:
% 83.97/12.20 | | | | | (43) apply(all_32_5, all_48_1, all_94_3) = all_323_0
% 83.97/12.20 | | | | | (44) apply(all_32_5, all_48_1, all_96_3) = all_323_1
% 83.97/12.20 | | | | |
% 83.97/12.20 | | | | | REDUCE: (3), (44) imply:
% 83.97/12.20 | | | | | (45) apply(all_32_5, all_48_1, all_48_0) = all_323_1
% 83.97/12.20 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with 0, all_299_0, all_48_0, all_48_1,
% 83.97/12.21 | | | | | all_32_5, simplifying with (2), (23) gives:
% 83.97/12.21 | | | | | (46) all_299_0 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with all_299_0, all_317_0, all_48_0,
% 83.97/12.21 | | | | | all_48_1, all_32_5, simplifying with (23), (36) gives:
% 83.97/12.21 | | | | | (47) all_317_0 = all_299_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with all_317_0, all_323_1, all_48_0,
% 83.97/12.21 | | | | | all_48_1, all_32_5, simplifying with (36), (45) gives:
% 83.97/12.21 | | | | | (48) all_323_1 = all_317_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with all_245_0, all_323_1, all_48_0,
% 83.97/12.21 | | | | | all_48_1, all_32_5, simplifying with (18), (45) gives:
% 83.97/12.21 | | | | | (49) all_323_1 = all_245_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with all_299_1, all_317_1, all_94_3,
% 83.97/12.21 | | | | | all_48_1, all_32_5, simplifying with (24), (33) gives:
% 83.97/12.21 | | | | | (50) all_317_1 = all_299_1
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with 0, all_323_0, all_94_3, all_48_1,
% 83.97/12.21 | | | | | all_32_5, simplifying with (4), (43) gives:
% 83.97/12.21 | | | | | (51) all_323_0 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | GROUND_INST: instantiating (5) with all_317_1, all_323_0, all_94_3,
% 83.97/12.21 | | | | | all_48_1, all_32_5, simplifying with (33), (43) gives:
% 83.97/12.21 | | | | | (52) all_323_0 = all_317_1
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | COMBINE_EQS: (51), (52) imply:
% 83.97/12.21 | | | | | (53) all_317_1 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | SIMP: (53) implies:
% 83.97/12.21 | | | | | (54) all_317_1 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | COMBINE_EQS: (48), (49) imply:
% 83.97/12.21 | | | | | (55) all_317_0 = all_245_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | SIMP: (55) implies:
% 83.97/12.21 | | | | | (56) all_317_0 = all_245_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | COMBINE_EQS: (47), (56) imply:
% 83.97/12.21 | | | | | (57) all_299_0 = all_245_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | SIMP: (57) implies:
% 83.97/12.21 | | | | | (58) all_299_0 = all_245_0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | COMBINE_EQS: (50), (54) imply:
% 83.97/12.21 | | | | | (59) all_299_1 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | SIMP: (59) implies:
% 83.97/12.21 | | | | | (60) all_299_1 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | COMBINE_EQS: (46), (58) imply:
% 83.97/12.21 | | | | | (61) all_245_0 = 0
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | BETA: splitting (25) gives:
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | | Case 1:
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | (62) ~ (all_299_0 = 0)
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | REDUCE: (46), (62) imply:
% 83.97/12.21 | | | | | | (63) $false
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | CLOSE: (63) is inconsistent.
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | Case 2:
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | (64) ~ (all_299_1 = 0)
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | REDUCE: (60), (64) imply:
% 83.97/12.21 | | | | | | (65) $false
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | | CLOSE: (65) is inconsistent.
% 83.97/12.21 | | | | | |
% 83.97/12.21 | | | | | End of split
% 83.97/12.21 | | | | |
% 83.97/12.21 | | | | End of split
% 83.97/12.21 | | | |
% 83.97/12.21 | | | End of split
% 83.97/12.21 | | |
% 83.97/12.21 | | End of split
% 83.97/12.21 | |
% 83.97/12.21 | End of split
% 83.97/12.21 |
% 83.97/12.21 End of proof
% 83.97/12.21
% 83.97/12.21 Sub-proof #6 shows that the following formulas are inconsistent:
% 83.97/12.21 ----------------------------------------------------------------
% 83.97/12.21 (1) apply(all_32_4, all_48_0, all_48_1) = all_71_1
% 83.97/12.21 (2) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_94_3, all_56_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (3) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_48_1, all_92_0) = v1 & apply(all_32_5, all_48_1, all_48_0) = v0 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (4) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_48_1, all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (5) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_1) = v1 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (6) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_88_0, all_94_3) = v1 & apply(all_32_5, all_88_0, all_92_0) = v0 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (7) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.21 (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_90_0, all_32_3) =
% 83.97/12.21 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.21 (v0 = 0)))
% 83.97/12.21 (8) apply(all_32_5, all_56_0, all_92_0) = 0
% 83.97/12.21 (9) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_1) = v0 &
% 83.97/12.21 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (10) apply(all_32_5, all_48_1, all_48_0) = 0
% 83.97/12.21 (11) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.21 (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_90_0, all_32_3) =
% 83.97/12.21 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.21 (v0 = 0)))
% 83.97/12.21 (12) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_90_0, all_96_3) = v0 & apply(all_32_5, all_90_0, all_94_3) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (13) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_1) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (14) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.21 (apply(all_32_5, all_56_0, all_48_0) = v2 & member(all_92_0, all_32_2) =
% 83.97/12.21 v1 & member(all_56_0, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.21 (v0 = 0)))
% 83.97/12.21 (15) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_48_1, all_94_3) = v0 & apply(all_32_5, all_48_1, all_92_0) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (16) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_94_3, all_56_0) = v1 & apply(all_32_4, all_94_3, all_48_2) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (17) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_94_3, all_56_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (18) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.21 (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_56_0, all_32_3) =
% 83.97/12.21 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.21 (v0 = 0)))
% 83.97/12.21 (19) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_1) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (20) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_96_3, all_56_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (21) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_48_0, all_88_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (22) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_56_0, all_94_3) = v1 & apply(all_32_5, all_56_0, all_92_0) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (23) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.21 all_90_0, all_94_3) = v1 & apply(all_32_5, all_90_0, all_92_0) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (24) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_94_3, all_90_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (25) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_94_3, all_90_0) = v0 & apply(all_32_4, all_94_3, all_48_2) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.21 (26) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.21 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_2) = v1
% 83.97/12.21 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (27) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_56_0, all_92_0) = v0 & apply(all_32_5, all_56_0, all_48_0) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (28) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_92_0) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (29) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_2) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (30) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_2) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (31) apply(all_32_5, all_48_2, all_96_3) = 0
% 83.97/12.22 (32) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_94_3, all_88_0) = v0 & apply(all_32_4, all_94_3, all_48_2) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (33) all_60_0 = all_48_0
% 83.97/12.22 (34) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_48_2, all_96_3) = v0 & apply(all_32_5, all_48_2, all_94_3) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (35) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.22 (apply(all_32_4, all_96_3, all_48_1) = v2 & member(all_96_3, all_32_2) =
% 83.97/12.22 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.22 (v0 = 0)))
% 83.97/12.22 (36) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_56_0, all_92_0) = v1 & apply(all_32_5, all_56_0, all_48_0) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (37) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_1) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (38) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_90_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (39) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_48_1, all_94_3) = v1 & apply(all_32_5, all_48_1, all_92_0) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (40) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_88_0, all_92_0) = v1 & apply(all_32_5, all_88_0, all_48_0) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (41) apply(all_32_4, all_48_0, all_56_0) = 0
% 83.97/12.22 (42) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_90_0, all_92_0) = v0 & apply(all_32_5, all_90_0, all_48_0) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (43) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_94_3) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (44) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (45) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_88_0, all_96_3) = v1 & apply(all_32_5, all_88_0, all_94_3) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (46) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_88_0, all_94_3) = v0 & apply(all_32_5, all_88_0, all_92_0) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (47) ~ (all_48_1 = all_48_2)
% 83.97/12.22 (48) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (49) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_90_0, all_92_0) = v1 & apply(all_32_5, all_90_0, all_48_0) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (50) all_88_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_94_3, all_88_0) = v1 & apply(all_32_4, all_94_3, all_48_2) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (51) all_96_3 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_88_0, all_96_3) = v0 & apply(all_32_5, all_88_0, all_48_0) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (52) all_88_0 = all_56_0
% 83.97/12.22 (53) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (54) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 83.97/12.22 (55) apply(all_32_4, all_48_0, all_48_1) = 0
% 83.97/12.22 (56) all_58_0 = all_48_0
% 83.97/12.22 (57) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 83.97/12.22 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 83.97/12.22 (apply(v4, v3, v2) = v0))
% 83.97/12.22 (58) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_90_0) = v1 & apply(all_32_4, all_48_0, all_48_2) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (59) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 83.97/12.22 (apply(all_32_4, all_48_0, all_48_2) = v2 & member(all_56_0, all_32_3) =
% 83.97/12.22 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 83.97/12.22 (v0 = 0)))
% 83.97/12.22 (60) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_48_0, all_88_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (61) all_94_3 = all_48_0
% 83.97/12.22 (62) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_56_0, all_94_3) = v0 & apply(all_32_5, all_56_0, all_92_0) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (63) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.22 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_1) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (64) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_56_0, all_96_3) = v0 & apply(all_32_5, all_56_0, all_94_3) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.22 (65) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 83.97/12.22 all_48_1, all_96_3) = v0 & apply(all_32_5, all_48_1, all_94_3) = v1
% 83.97/12.22 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 83.97/12.23 (66) apply(all_32_5, all_48_2, all_48_0) = 0
% 83.97/12.23 (67) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 83.97/12.23 all_94_3, all_56_0) = v0 & apply(all_32_4, all_94_3, all_48_2) = v1
% 83.97/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (68) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_88_0, all_96_3) = v0 & apply(all_32_5, all_88_0, all_94_3) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (69) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_94_3, all_88_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (70) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_94_3, all_90_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (71) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_88_0, all_92_0) = v0 & apply(all_32_5, all_88_0, all_48_0) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (72) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.23 (apply(all_32_4, all_94_3, all_88_0) = v2 & member(all_94_3, all_32_2) =
% 84.30/12.23 v0 & member(all_48_1, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 84.30/12.23 (v0 = 0)))
% 84.30/12.23 (73) all_90_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_94_3, all_90_0) = v1 & apply(all_32_4, all_94_3, all_48_2) = v0
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (74) all_92_0 = all_48_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_48_1, all_92_0) = v0 & apply(all_32_5, all_48_1, all_48_0) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (75) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_56_0, all_96_3) = v1 & apply(all_32_5, all_56_0, all_94_3) = v0
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (76) apply(all_32_4, all_96_3, all_48_2) = 0
% 84.30/12.23 (77) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_2) = v0
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (78) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_90_0, all_96_3) = v1 & apply(all_32_5, all_90_0, all_94_3) = v0
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (79) all_94_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.23 all_90_0, all_94_3) = v0 & apply(all_32_5, all_90_0, all_92_0) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (80) all_90_0 = all_56_0
% 84.30/12.23 (81) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_94_3, all_88_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (82) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.23 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1
% 84.30/12.23 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 (83) ~ (all_71_0 = 0) | ~ (all_71_1 = 0)
% 84.30/12.23
% 84.30/12.23 Begin of proof
% 84.30/12.23 |
% 84.30/12.23 | BETA: splitting (34) gives:
% 84.30/12.23 |
% 84.30/12.23 | Case 1:
% 84.30/12.23 | |
% 84.30/12.23 | | (84) all_96_3 = all_94_3
% 84.30/12.23 | |
% 84.30/12.23 | | COMBINE_EQS: (61), (84) imply:
% 84.30/12.23 | | (85) all_96_3 = all_48_0
% 84.30/12.23 | |
% 84.30/12.23 | | REDUCE: (76), (85) imply:
% 84.30/12.23 | | (86) apply(all_32_4, all_48_0, all_48_2) = 0
% 84.30/12.23 | |
% 84.30/12.23 | | BETA: splitting (26) gives:
% 84.30/12.23 | |
% 84.30/12.23 | | Case 1:
% 84.30/12.23 | | |
% 84.30/12.23 | | | (87) all_56_0 = all_48_2
% 84.30/12.23 | | |
% 84.30/12.23 | | | COMBINE_EQS: (52), (87) imply:
% 84.30/12.23 | | | (88) all_88_0 = all_48_2
% 84.30/12.23 | | |
% 84.30/12.23 | | | COMBINE_EQS: (80), (87) imply:
% 84.30/12.23 | | | (89) all_90_0 = all_48_2
% 84.30/12.23 | | |
% 84.30/12.23 | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19), (24), (33),
% 84.30/12.23 | | | (35), (37), (38), (47), (53), (54), (55), (56), (57), (60),
% 84.30/12.23 | | | (61), (63), (69), (70), (81), (83), (85), (86), (87), (88),
% 84.30/12.23 | | | (89) are inconsistent by sub-proof #8.
% 84.30/12.23 | | |
% 84.30/12.23 | | Case 2:
% 84.30/12.23 | | |
% 84.30/12.23 | | | (90) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0, all_56_0)
% 84.30/12.23 | | | = v0 & apply(all_32_4, all_58_0, all_48_2) = v1 & ( ~ (v1 = 0) |
% 84.30/12.23 | | | ~ (v0 = 0)))
% 84.30/12.23 | | |
% 84.30/12.23 | | | DELTA: instantiating (90) with fresh symbols all_168_0, all_168_1 gives:
% 84.30/12.23 | | | (91) apply(all_32_4, all_58_0, all_56_0) = all_168_1 & apply(all_32_4,
% 84.30/12.23 | | | all_58_0, all_48_2) = all_168_0 & ( ~ (all_168_0 = 0) | ~
% 84.30/12.23 | | | (all_168_1 = 0))
% 84.30/12.23 | | |
% 84.30/12.23 | | | ALPHA: (91) implies:
% 84.30/12.23 | | | (92) apply(all_32_4, all_58_0, all_48_2) = all_168_0
% 84.30/12.23 | | |
% 84.30/12.23 | | | REDUCE: (56), (92) imply:
% 84.30/12.23 | | | (93) apply(all_32_4, all_48_0, all_48_2) = all_168_0
% 84.30/12.23 | | |
% 84.30/12.23 | | | BETA: splitting (44) gives:
% 84.30/12.23 | | |
% 84.30/12.23 | | | Case 1:
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | (94) all_90_0 = all_48_2
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | COMBINE_EQS: (80), (94) imply:
% 84.30/12.23 | | | | (95) all_56_0 = all_48_2
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | SIMP: (95) implies:
% 84.30/12.23 | | | | (96) all_56_0 = all_48_2
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | COMBINE_EQS: (52), (96) imply:
% 84.30/12.23 | | | | (97) all_88_0 = all_48_2
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19), (24), (33),
% 84.30/12.23 | | | | (35), (37), (38), (47), (53), (54), (55), (56), (57), (60),
% 84.30/12.23 | | | | (61), (63), (69), (70), (81), (83), (85), (86), (94), (96),
% 84.30/12.23 | | | | (97) are inconsistent by sub-proof #8.
% 84.30/12.23 | | | |
% 84.30/12.23 | | | Case 2:
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | (98) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 84.30/12.23 | | | | all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_2) = v1 &
% 84.30/12.23 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | DELTA: instantiating (98) with fresh symbols all_174_0, all_174_1 gives:
% 84.30/12.23 | | | | (99) apply(all_32_4, all_48_0, all_90_0) = all_174_1 &
% 84.30/12.23 | | | | apply(all_32_4, all_48_0, all_48_2) = all_174_0 & ( ~ (all_174_0
% 84.30/12.23 | | | | = 0) | ~ (all_174_1 = 0))
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | ALPHA: (99) implies:
% 84.30/12.23 | | | | (100) apply(all_32_4, all_48_0, all_48_2) = all_174_0
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | BETA: splitting (77) gives:
% 84.30/12.23 | | | |
% 84.30/12.23 | | | | Case 1:
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | (101) all_56_0 = all_48_2
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | COMBINE_EQS: (52), (101) imply:
% 84.30/12.23 | | | | | (102) all_88_0 = all_48_2
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | COMBINE_EQS: (80), (101) imply:
% 84.30/12.23 | | | | | (103) all_90_0 = all_48_2
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19), (24),
% 84.30/12.23 | | | | | (33), (35), (37), (38), (47), (53), (54), (55), (56), (57),
% 84.30/12.23 | | | | | (60), (61), (63), (69), (70), (81), (83), (85), (86),
% 84.30/12.23 | | | | | (101), (102), (103) are inconsistent by sub-proof #8.
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | Case 2:
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | (104) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_60_0,
% 84.30/12.23 | | | | | all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_2) = v0
% 84.30/12.23 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | DELTA: instantiating (104) with fresh symbols all_189_0, all_189_1
% 84.30/12.23 | | | | | gives:
% 84.30/12.23 | | | | | (105) apply(all_32_4, all_60_0, all_56_0) = all_189_0 &
% 84.30/12.23 | | | | | apply(all_32_4, all_60_0, all_48_2) = all_189_1 & ( ~
% 84.30/12.23 | | | | | (all_189_0 = 0) | ~ (all_189_1 = 0))
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | ALPHA: (105) implies:
% 84.30/12.23 | | | | | (106) apply(all_32_4, all_60_0, all_48_2) = all_189_1
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | REDUCE: (33), (106) imply:
% 84.30/12.23 | | | | | (107) apply(all_32_4, all_48_0, all_48_2) = all_189_1
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | BETA: splitting (11) gives:
% 84.30/12.23 | | | | |
% 84.30/12.23 | | | | | Case 1:
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | | (108) all_90_0 = all_48_2
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | | COMBINE_EQS: (80), (108) imply:
% 84.30/12.23 | | | | | | (109) all_56_0 = all_48_2
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | | SIMP: (109) implies:
% 84.30/12.23 | | | | | | (110) all_56_0 = all_48_2
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | | COMBINE_EQS: (52), (110) imply:
% 84.30/12.23 | | | | | | (111) all_88_0 = all_48_2
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19), (24),
% 84.30/12.23 | | | | | | (33), (35), (37), (38), (47), (53), (54), (55), (56),
% 84.30/12.23 | | | | | | (57), (60), (61), (63), (69), (70), (81), (83), (85),
% 84.30/12.23 | | | | | | (86), (108), (110), (111) are inconsistent by sub-proof
% 84.30/12.23 | | | | | | #8.
% 84.30/12.23 | | | | | |
% 84.30/12.23 | | | | | Case 2:
% 84.30/12.23 | | | | | |
% 84.30/12.24 | | | | | | (112) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.24 | | | | | | (apply(all_32_4, all_48_0, all_48_2) = v2 &
% 84.30/12.24 | | | | | | member(all_90_0, all_32_3) = v1 & member(all_48_0,
% 84.30/12.24 | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 84.30/12.24 | | | | | | 0)))
% 84.30/12.24 | | | | | |
% 84.30/12.24 | | | | | | DELTA: instantiating (112) with fresh symbols all_195_0, all_195_1,
% 84.30/12.24 | | | | | | all_195_2 gives:
% 84.30/12.24 | | | | | | (113) apply(all_32_4, all_48_0, all_48_2) = all_195_0 &
% 84.30/12.24 | | | | | | member(all_90_0, all_32_3) = all_195_1 & member(all_48_0,
% 84.30/12.24 | | | | | | all_32_2) = all_195_2 & ( ~ (all_195_0 = 0) | ~
% 84.30/12.24 | | | | | | (all_195_1 = 0) | ~ (all_195_2 = 0))
% 84.30/12.24 | | | | | |
% 84.30/12.24 | | | | | | ALPHA: (113) implies:
% 84.30/12.24 | | | | | | (114) apply(all_32_4, all_48_0, all_48_2) = all_195_0
% 84.30/12.24 | | | | | |
% 84.30/12.24 | | | | | | BETA: splitting (29) gives:
% 84.30/12.24 | | | | | |
% 84.30/12.24 | | | | | | Case 1:
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | (115) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | COMBINE_EQS: (52), (115) imply:
% 84.30/12.24 | | | | | | | (116) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | COMBINE_EQS: (80), (115) imply:
% 84.30/12.24 | | | | | | | (117) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19), (24),
% 84.30/12.24 | | | | | | | (33), (35), (37), (38), (47), (53), (54), (55), (56),
% 84.30/12.24 | | | | | | | (57), (60), (61), (63), (69), (70), (81), (83), (85),
% 84.30/12.24 | | | | | | | (86), (115), (116), (117) are inconsistent by sub-proof
% 84.30/12.24 | | | | | | | #8.
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | Case 2:
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | (118) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0,
% 84.30/12.24 | | | | | | | all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_2)
% 84.30/12.24 | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | DELTA: instantiating (118) with fresh symbols all_201_0, all_201_1
% 84.30/12.24 | | | | | | | gives:
% 84.30/12.24 | | | | | | | (119) apply(all_32_4, all_58_0, all_56_0) = all_201_0 &
% 84.30/12.24 | | | | | | | apply(all_32_4, all_58_0, all_48_2) = all_201_1 & ( ~
% 84.30/12.24 | | | | | | | (all_201_0 = 0) | ~ (all_201_1 = 0))
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | ALPHA: (119) implies:
% 84.30/12.24 | | | | | | | (120) apply(all_32_4, all_58_0, all_48_2) = all_201_1
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | REDUCE: (56), (120) imply:
% 84.30/12.24 | | | | | | | (121) apply(all_32_4, all_48_0, all_48_2) = all_201_1
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | BETA: splitting (30) gives:
% 84.30/12.24 | | | | | | |
% 84.30/12.24 | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | (122) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | COMBINE_EQS: (52), (122) imply:
% 84.30/12.24 | | | | | | | | (123) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | COMBINE_EQS: (80), (122) imply:
% 84.30/12.24 | | | | | | | | (124) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54), (55),
% 84.30/12.24 | | | | | | | | (56), (57), (60), (61), (63), (69), (70), (81), (83),
% 84.30/12.24 | | | | | | | | (85), (86), (122), (123), (124) are inconsistent by
% 84.30/12.24 | | | | | | | | sub-proof #8.
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | (125) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.24 | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 84.30/12.24 | | | | | | | | all_60_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 84.30/12.24 | | | | | | | | 0)))
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | DELTA: instantiating (125) with fresh symbols all_207_0,
% 84.30/12.24 | | | | | | | | all_207_1 gives:
% 84.30/12.24 | | | | | | | | (126) apply(all_32_4, all_60_0, all_56_0) = all_207_1 &
% 84.30/12.24 | | | | | | | | apply(all_32_4, all_60_0, all_48_2) = all_207_0 & ( ~
% 84.30/12.24 | | | | | | | | (all_207_0 = 0) | ~ (all_207_1 = 0))
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | ALPHA: (126) implies:
% 84.30/12.24 | | | | | | | | (127) apply(all_32_4, all_60_0, all_48_2) = all_207_0
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | REDUCE: (33), (127) imply:
% 84.30/12.24 | | | | | | | | (128) apply(all_32_4, all_48_0, all_48_2) = all_207_0
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | BETA: splitting (50) gives:
% 84.30/12.24 | | | | | | | |
% 84.30/12.24 | | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | (129) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | COMBINE_EQS: (52), (129) imply:
% 84.30/12.24 | | | | | | | | | (130) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | SIMP: (130) implies:
% 84.30/12.24 | | | | | | | | | (131) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | COMBINE_EQS: (80), (131) imply:
% 84.30/12.24 | | | | | | | | | (132) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.24 | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.24 | | | | | | | | | (81), (83), (85), (86), (129), (131), (132) are
% 84.30/12.24 | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | (133) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.24 | | | | | | | | | all_94_3, all_88_0) = v1 & apply(all_32_4,
% 84.30/12.24 | | | | | | | | | all_94_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~ (v0
% 84.30/12.24 | | | | | | | | | = 0)))
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | DELTA: instantiating (133) with fresh symbols all_213_0,
% 84.30/12.24 | | | | | | | | | all_213_1 gives:
% 84.30/12.24 | | | | | | | | | (134) apply(all_32_4, all_94_3, all_88_0) = all_213_0 &
% 84.30/12.24 | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_213_1 & ( ~
% 84.30/12.24 | | | | | | | | | (all_213_0 = 0) | ~ (all_213_1 = 0))
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | ALPHA: (134) implies:
% 84.30/12.24 | | | | | | | | | (135) apply(all_32_4, all_94_3, all_48_2) = all_213_1
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | REDUCE: (61), (135) imply:
% 84.30/12.24 | | | | | | | | | (136) apply(all_32_4, all_48_0, all_48_2) = all_213_1
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | BETA: splitting (82) gives:
% 84.30/12.24 | | | | | | | | |
% 84.30/12.24 | | | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | (137) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | COMBINE_EQS: (52), (137) imply:
% 84.30/12.24 | | | | | | | | | | (138) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | COMBINE_EQS: (80), (137) imply:
% 84.30/12.24 | | | | | | | | | | (139) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.24 | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.24 | | | | | | | | | | (81), (83), (85), (86), (137), (138), (139) are
% 84.30/12.24 | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | (140) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | all_48_0, all_56_0) = v0 & apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.24 | | | | | | | | | | (v0 = 0)))
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | DELTA: instantiating (140) with fresh symbols all_219_0,
% 84.30/12.24 | | | | | | | | | | all_219_1 gives:
% 84.30/12.24 | | | | | | | | | | (141) apply(all_32_4, all_48_0, all_56_0) = all_219_1 &
% 84.30/12.24 | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_219_0 & (
% 84.30/12.24 | | | | | | | | | | ~ (all_219_0 = 0) | ~ (all_219_1 = 0))
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | ALPHA: (141) implies:
% 84.30/12.24 | | | | | | | | | | (142) apply(all_32_4, all_48_0, all_48_2) = all_219_0
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | BETA: splitting (73) gives:
% 84.30/12.24 | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | (143) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | COMBINE_EQS: (80), (143) imply:
% 84.30/12.24 | | | | | | | | | | | (144) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | SIMP: (144) implies:
% 84.30/12.24 | | | | | | | | | | | (145) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | COMBINE_EQS: (52), (145) imply:
% 84.30/12.24 | | | | | | | | | | | (146) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.24 | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.24 | | | | | | | | | | | (81), (83), (85), (86), (143), (145), (146) are
% 84.30/12.24 | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | (147) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | | all_94_3, all_90_0) = v1 & apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | | all_94_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.24 | | | | | | | | | | | (v0 = 0)))
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | DELTA: instantiating (147) with fresh symbols all_225_0,
% 84.30/12.24 | | | | | | | | | | | all_225_1 gives:
% 84.30/12.24 | | | | | | | | | | | (148) apply(all_32_4, all_94_3, all_90_0) = all_225_0 &
% 84.30/12.24 | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_225_1 &
% 84.30/12.24 | | | | | | | | | | | ( ~ (all_225_0 = 0) | ~ (all_225_1 = 0))
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | ALPHA: (148) implies:
% 84.30/12.24 | | | | | | | | | | | (149) apply(all_32_4, all_94_3, all_48_2) = all_225_1
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | REDUCE: (61), (149) imply:
% 84.30/12.24 | | | | | | | | | | | (150) apply(all_32_4, all_48_0, all_48_2) = all_225_1
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | BETA: splitting (59) gives:
% 84.30/12.24 | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | (151) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | COMBINE_EQS: (52), (151) imply:
% 84.30/12.24 | | | | | | | | | | | | (152) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | COMBINE_EQS: (80), (151) imply:
% 84.30/12.24 | | | | | | | | | | | | (153) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.24 | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.24 | | | | | | | | | | | | (81), (83), (85), (86), (151), (152), (153) are
% 84.30/12.24 | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | (154) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.24 | | | | | | | | | | | | (apply(all_32_4, all_48_0, all_48_2) = v2 &
% 84.30/12.24 | | | | | | | | | | | | member(all_56_0, all_32_3) = v1 &
% 84.30/12.24 | | | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 84.30/12.24 | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | DELTA: instantiating (154) with fresh symbols all_231_0,
% 84.30/12.24 | | | | | | | | | | | | all_231_1, all_231_2 gives:
% 84.30/12.24 | | | | | | | | | | | | (155) apply(all_32_4, all_48_0, all_48_2) = all_231_0 &
% 84.30/12.24 | | | | | | | | | | | | member(all_56_0, all_32_3) = all_231_1 &
% 84.30/12.24 | | | | | | | | | | | | member(all_48_0, all_32_2) = all_231_2 & ( ~
% 84.30/12.24 | | | | | | | | | | | | (all_231_0 = 0) | ~ (all_231_1 = 0) | ~
% 84.30/12.24 | | | | | | | | | | | | (all_231_2 = 0))
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | ALPHA: (155) implies:
% 84.30/12.24 | | | | | | | | | | | | (156) apply(all_32_4, all_48_0, all_48_2) = all_231_0
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | BETA: splitting (58) gives:
% 84.30/12.24 | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | Case 1:
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | (157) all_90_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | COMBINE_EQS: (80), (157) imply:
% 84.30/12.24 | | | | | | | | | | | | | (158) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | SIMP: (158) implies:
% 84.30/12.24 | | | | | | | | | | | | | (159) all_56_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | COMBINE_EQS: (52), (159) imply:
% 84.30/12.24 | | | | | | | | | | | | | (160) all_88_0 = all_48_2
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.24 | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.24 | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.24 | | | | | | | | | | | | | (81), (83), (85), (86), (157), (159), (160) are
% 84.30/12.24 | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | Case 2:
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | (161) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | | | | all_48_0, all_90_0) = v1 & apply(all_32_4,
% 84.30/12.24 | | | | | | | | | | | | | all_48_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.24 | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | DELTA: instantiating (161) with fresh symbols all_237_0,
% 84.30/12.24 | | | | | | | | | | | | | all_237_1 gives:
% 84.30/12.24 | | | | | | | | | | | | | (162) apply(all_32_4, all_48_0, all_90_0) = all_237_0 &
% 84.30/12.24 | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_237_1 &
% 84.30/12.24 | | | | | | | | | | | | | ( ~ (all_237_0 = 0) | ~ (all_237_1 = 0))
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.24 | | | | | | | | | | | | | ALPHA: (162) implies:
% 84.30/12.24 | | | | | | | | | | | | | (163) apply(all_32_4, all_48_0, all_48_2) = all_237_1
% 84.30/12.24 | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | BETA: splitting (25) gives:
% 84.30/12.25 | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | (164) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | COMBINE_EQS: (80), (164) imply:
% 84.30/12.25 | | | | | | | | | | | | | | (165) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | SIMP: (165) implies:
% 84.30/12.25 | | | | | | | | | | | | | | (166) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | COMBINE_EQS: (52), (166) imply:
% 84.30/12.25 | | | | | | | | | | | | | | (167) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | (81), (83), (85), (86), (164), (166), (167) are
% 84.30/12.25 | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | (168) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | all_94_3, all_90_0) = v0 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | all_94_3, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | DELTA: instantiating (168) with fresh symbols all_243_0,
% 84.30/12.25 | | | | | | | | | | | | | | all_243_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | (169) apply(all_32_4, all_94_3, all_90_0) = all_243_1 &
% 84.30/12.25 | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_243_0 &
% 84.30/12.25 | | | | | | | | | | | | | | ( ~ (all_243_0 = 0) | ~ (all_243_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | ALPHA: (169) implies:
% 84.30/12.25 | | | | | | | | | | | | | | (170) apply(all_32_4, all_94_3, all_48_2) = all_243_0
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | REDUCE: (61), (170) imply:
% 84.30/12.25 | | | | | | | | | | | | | | (171) apply(all_32_4, all_48_0, all_48_2) = all_243_0
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 84.30/12.25 | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | (172) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | COMBINE_EQS: (52), (172) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | (173) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | COMBINE_EQS: (80), (172) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | (174) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | | (81), (83), (85), (86), (172), (173), (174) are
% 84.30/12.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | (175) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | all_94_3, all_56_0) = v0 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | all_94_3, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | DELTA: instantiating (175) with fresh symbols all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | all_249_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | | (176) apply(all_32_4, all_94_3, all_56_0) = all_249_1 &
% 84.30/12.25 | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_249_0 &
% 84.30/12.25 | | | | | | | | | | | | | | | ( ~ (all_249_0 = 0) | ~ (all_249_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | (177) apply(all_32_4, all_94_3, all_48_2) = all_249_0
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | REDUCE: (61), (177) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | (178) apply(all_32_4, all_48_0, all_48_2) = all_249_0
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 84.30/12.25 | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | (179) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (179) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | (180) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | SIMP: (180) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | (181) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (181) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | (182) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | | | (81), (83), (85), (86), (179), (181), (182) are
% 84.30/12.25 | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | (183) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | all_48_0, all_88_0) = v0 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | all_48_0, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | DELTA: instantiating (183) with fresh symbols all_255_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | all_255_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | (184) apply(all_32_4, all_48_0, all_88_0) = all_255_1 &
% 84.30/12.25 | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_255_0 &
% 84.30/12.25 | | | | | | | | | | | | | | | | ( ~ (all_255_0 = 0) | ~ (all_255_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | (185) apply(all_32_4, all_48_0, all_48_2) = all_255_0
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | (186) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (186) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (187) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (188) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (188) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (189) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | | | | (81), (83), (85), (86), (186), (188), (189) are
% 84.30/12.25 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | (190) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | all_94_3, all_88_0) = v0 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | all_94_3, all_48_2) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_261_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | all_261_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (191) apply(all_32_4, all_94_3, all_88_0) = all_261_1 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_261_0 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | ( ~ (all_261_0 = 0) | ~ (all_261_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (192) apply(all_32_4, all_94_3, all_48_2) = all_261_0
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | REDUCE: (61), (192) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | (193) apply(all_32_4, all_48_0, all_48_2) = all_261_0
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (194) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (194) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (195) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (194) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (196) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (81), (83), (85), (86), (194), (195), (196) are
% 84.30/12.25 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (197) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | all_48_0, all_56_0) = v1 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | all_48_0, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (197) with fresh symbols all_267_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | all_267_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (198) apply(all_32_4, all_48_0, all_56_0) = all_267_0 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_2) = all_267_1 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | | ( ~ (all_267_0 = 0) | ~ (all_267_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | (199) apply(all_32_4, all_48_0, all_48_2) = all_267_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (200) all_56_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (200) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (201) all_88_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (200) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (202) all_90_0 = all_48_2
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (7), (9), (13), (17), (18), (19),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (24), (33), (35), (37), (38), (47), (53), (54),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (55), (56), (57), (60), (61), (63), (69), (70),
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (81), (83), (85), (86), (200), (201), (202) are
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (203) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v1 & apply(all_32_4,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_94_3, all_48_2) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (203) with fresh symbols all_273_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_273_1 gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (204) apply(all_32_4, all_94_3, all_56_0) = all_273_0 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_2) = all_273_1 &
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | ( ~ (all_273_0 = 0) | ~ (all_273_1 = 0))
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (205) apply(all_32_4, all_94_3, all_48_2) = all_273_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | REDUCE: (61), (205) imply:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (206) apply(all_32_4, all_48_0, all_48_2) = all_273_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_168_0, all_48_2,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (86), (93)
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (207) all_168_0 = 0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_71_0, all_189_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (54), (107) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (208) all_189_1 = all_71_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_168_0, all_189_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (93), (107) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (209) all_189_1 = all_168_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_207_0, all_213_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (128), (136) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (210) all_213_1 = all_207_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_213_1, all_231_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (136), (156) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (211) all_231_0 = all_213_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_225_1, all_237_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (150), (163) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (212) all_237_1 = all_225_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_243_0, all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (171), (178) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (213) all_249_0 = all_243_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_225_1, all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (150), (178) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (214) all_249_0 = all_225_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_219_0, all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (142), (178) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (215) all_249_0 = all_219_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_207_0, all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (128), (178) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (216) all_249_0 = all_207_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_189_1, all_249_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (107), (178) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (217) all_249_0 = all_189_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_243_0, all_255_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (171), (185) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (218) all_255_0 = all_243_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_237_1, all_261_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (163), (193) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (219) all_261_0 = all_237_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_174_0, all_261_0,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (100), (193) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (220) all_261_0 = all_174_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_231_0, all_267_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (156), (199) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (221) all_267_1 = all_231_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_195_0, all_267_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (114), (199) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (222) all_267_1 = all_195_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_255_0, all_273_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (185), (206) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (223) all_273_1 = all_255_0
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_201_1, all_273_1,
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (121), (206) gives:
% 84.30/12.25 | | | | | | | | | | | | | | | | | | | (224) all_273_1 = all_201_1
% 84.30/12.25 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_71_1, 0, all_48_1,
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (1), (55)
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | gives:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (225) all_71_1 = 0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (224) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (226) all_255_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (227) all_255_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (222) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (228) all_231_0 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (229) all_231_0 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (220) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (230) all_237_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (230) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (231) all_237_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (227) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (232) all_243_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (232) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (233) all_243_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (216) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (234) all_219_0 = all_207_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (215) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (235) all_243_0 = all_219_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (235) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (236) all_243_0 = all_219_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (217) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (237) all_219_0 = all_189_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (215) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (238) all_225_1 = all_219_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (238) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (239) all_225_1 = all_219_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (236) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (240) all_219_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (241) all_219_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (231) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (242) all_225_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (242) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (243) all_225_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (229) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (244) all_213_1 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (244) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (245) all_213_1 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (243) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (246) all_219_0 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (247) all_219_0 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (234), (241) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (248) all_207_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (248) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (249) all_207_0 = all_201_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (247) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (250) all_201_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (241) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (251) all_201_1 = all_189_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (210), (245) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (252) all_207_0 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (252) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (253) all_207_0 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (253) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (254) all_201_1 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (255) all_201_1 = all_195_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (255) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (256) all_195_0 = all_189_1
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (255) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (257) all_195_0 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (257) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (258) all_189_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (259) all_189_1 = all_174_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (259) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (260) all_174_0 = all_71_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (209), (259) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (261) all_174_0 = all_168_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (262) all_168_0 = all_71_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | SIMP: (262) implies:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (263) all_168_0 = all_71_0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (263) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | (264) all_71_0 = 0
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | (265) ~ (all_71_0 = 0)
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (264), (265) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | (266) $false
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | (267) ~ (all_71_1 = 0)
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (267) imply:
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | (268) $false
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | | |
% 84.30/12.26 | | | | | | | | | End of split
% 84.30/12.26 | | | | | | | | |
% 84.30/12.26 | | | | | | | | End of split
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | End of split
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | End of split
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | End of split
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | End of split
% 84.30/12.26 | | | |
% 84.30/12.26 | | | End of split
% 84.30/12.26 | | |
% 84.30/12.26 | | End of split
% 84.30/12.26 | |
% 84.30/12.26 | Case 2:
% 84.30/12.26 | |
% 84.30/12.26 | | (269) ~ (all_96_3 = all_94_3)
% 84.30/12.26 | | (270) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2, all_96_3)
% 84.30/12.26 | | = v0 & apply(all_32_5, all_48_2, all_94_3) = v1 & ( ~ (v1 = 0) |
% 84.30/12.26 | | ~ (v0 = 0)))
% 84.30/12.26 | |
% 84.30/12.26 | | DELTA: instantiating (270) with fresh symbols all_148_0, all_148_1 gives:
% 84.30/12.26 | | (271) apply(all_32_5, all_48_2, all_96_3) = all_148_1 & apply(all_32_5,
% 84.30/12.26 | | all_48_2, all_94_3) = all_148_0 & ( ~ (all_148_0 = 0) | ~
% 84.30/12.26 | | (all_148_1 = 0))
% 84.30/12.26 | |
% 84.30/12.26 | | ALPHA: (271) implies:
% 84.30/12.26 | | (272) apply(all_32_5, all_48_2, all_94_3) = all_148_0
% 84.30/12.26 | |
% 84.30/12.26 | | REDUCE: (61), (269) imply:
% 84.30/12.26 | | (273) ~ (all_96_3 = all_48_0)
% 84.30/12.26 | |
% 84.30/12.26 | | REDUCE: (61), (272) imply:
% 84.30/12.26 | | (274) apply(all_32_5, all_48_2, all_48_0) = all_148_0
% 84.30/12.26 | |
% 84.30/12.26 | | BETA: splitting (72) gives:
% 84.30/12.26 | |
% 84.30/12.26 | | Case 1:
% 84.30/12.26 | | |
% 84.30/12.26 | | | (275) all_88_0 = all_48_1
% 84.30/12.26 | | |
% 84.30/12.26 | | | COMBINE_EQS: (52), (275) imply:
% 84.30/12.26 | | | (276) all_56_0 = all_48_1
% 84.30/12.26 | | |
% 84.30/12.26 | | | SIMP: (276) implies:
% 84.30/12.26 | | | (277) all_56_0 = all_48_1
% 84.30/12.26 | | |
% 84.30/12.26 | | | COMBINE_EQS: (80), (277) imply:
% 84.30/12.26 | | | (278) all_90_0 = all_48_1
% 84.30/12.26 | | |
% 84.30/12.26 | | | REDUCE: (8), (277) imply:
% 84.30/12.26 | | | (279) apply(all_32_5, all_48_1, all_92_0) = 0
% 84.30/12.26 | | |
% 84.30/12.26 | | | BETA: splitting (4) gives:
% 84.30/12.26 | | |
% 84.30/12.26 | | | Case 1:
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | (280) all_96_3 = all_94_3
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | COMBINE_EQS: (61), (280) imply:
% 84.30/12.26 | | | | (281) all_96_3 = all_48_0
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | REDUCE: (273), (281) imply:
% 84.30/12.26 | | | | (282) $false
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | CLOSE: (282) is inconsistent.
% 84.30/12.26 | | | |
% 84.30/12.26 | | | Case 2:
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | (283) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_1,
% 84.30/12.26 | | | | all_96_3) = v1 & apply(all_32_5, all_48_1, all_94_3) = v0 &
% 84.30/12.26 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | DELTA: instantiating (283) with fresh symbols all_167_0, all_167_1
% 84.30/12.26 | | | | gives:
% 84.30/12.26 | | | | (284) apply(all_32_5, all_48_1, all_96_3) = all_167_0 &
% 84.30/12.26 | | | | apply(all_32_5, all_48_1, all_94_3) = all_167_1 & ( ~
% 84.30/12.26 | | | | (all_167_0 = 0) | ~ (all_167_1 = 0))
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | ALPHA: (284) implies:
% 84.30/12.26 | | | | (285) apply(all_32_5, all_48_1, all_94_3) = all_167_1
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | REDUCE: (61), (285) imply:
% 84.30/12.26 | | | | (286) apply(all_32_5, all_48_1, all_48_0) = all_167_1
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | BETA: splitting (45) gives:
% 84.30/12.26 | | | |
% 84.30/12.26 | | | | Case 1:
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | (287) all_96_3 = all_94_3
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | COMBINE_EQS: (61), (287) imply:
% 84.30/12.26 | | | | | (288) all_96_3 = all_48_0
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | REDUCE: (273), (288) imply:
% 84.30/12.26 | | | | | (289) $false
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | CLOSE: (289) is inconsistent.
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | Case 2:
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | (290) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_88_0,
% 84.30/12.26 | | | | | all_96_3) = v1 & apply(all_32_5, all_88_0, all_94_3) = v0
% 84.30/12.26 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | DELTA: instantiating (290) with fresh symbols all_192_0, all_192_1
% 84.30/12.26 | | | | | gives:
% 84.30/12.26 | | | | | (291) apply(all_32_5, all_88_0, all_96_3) = all_192_0 &
% 84.30/12.26 | | | | | apply(all_32_5, all_88_0, all_94_3) = all_192_1 & ( ~
% 84.30/12.26 | | | | | (all_192_0 = 0) | ~ (all_192_1 = 0))
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | ALPHA: (291) implies:
% 84.30/12.26 | | | | | (292) apply(all_32_5, all_88_0, all_94_3) = all_192_1
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | REDUCE: (61), (275), (292) imply:
% 84.30/12.26 | | | | | (293) apply(all_32_5, all_48_1, all_48_0) = all_192_1
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | BETA: splitting (68) gives:
% 84.30/12.26 | | | | |
% 84.30/12.26 | | | | | Case 1:
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | (294) all_96_3 = all_94_3
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | COMBINE_EQS: (61), (294) imply:
% 84.30/12.26 | | | | | | (295) all_96_3 = all_48_0
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | REDUCE: (273), (295) imply:
% 84.30/12.26 | | | | | | (296) $false
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | CLOSE: (296) is inconsistent.
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | Case 2:
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | (297) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_88_0,
% 84.30/12.26 | | | | | | all_96_3) = v0 & apply(all_32_5, all_88_0, all_94_3) =
% 84.30/12.26 | | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | DELTA: instantiating (297) with fresh symbols all_197_0, all_197_1
% 84.30/12.26 | | | | | | gives:
% 84.30/12.26 | | | | | | (298) apply(all_32_5, all_88_0, all_96_3) = all_197_1 &
% 84.30/12.26 | | | | | | apply(all_32_5, all_88_0, all_94_3) = all_197_0 & ( ~
% 84.30/12.26 | | | | | | (all_197_0 = 0) | ~ (all_197_1 = 0))
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | ALPHA: (298) implies:
% 84.30/12.26 | | | | | | (299) apply(all_32_5, all_88_0, all_94_3) = all_197_0
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | REDUCE: (61), (275), (299) imply:
% 84.30/12.26 | | | | | | (300) apply(all_32_5, all_48_1, all_48_0) = all_197_0
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | BETA: splitting (12) gives:
% 84.30/12.26 | | | | | |
% 84.30/12.26 | | | | | | Case 1:
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | (301) all_96_3 = all_94_3
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | COMBINE_EQS: (61), (301) imply:
% 84.30/12.26 | | | | | | | (302) all_96_3 = all_48_0
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | REDUCE: (273), (302) imply:
% 84.30/12.26 | | | | | | | (303) $false
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | CLOSE: (303) is inconsistent.
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | Case 2:
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | (304) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_90_0,
% 84.30/12.26 | | | | | | | all_96_3) = v0 & apply(all_32_5, all_90_0, all_94_3)
% 84.30/12.26 | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | DELTA: instantiating (304) with fresh symbols all_202_0, all_202_1
% 84.30/12.26 | | | | | | | gives:
% 84.30/12.26 | | | | | | | (305) apply(all_32_5, all_90_0, all_96_3) = all_202_1 &
% 84.30/12.26 | | | | | | | apply(all_32_5, all_90_0, all_94_3) = all_202_0 & ( ~
% 84.30/12.26 | | | | | | | (all_202_0 = 0) | ~ (all_202_1 = 0))
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | ALPHA: (305) implies:
% 84.30/12.26 | | | | | | | (306) apply(all_32_5, all_90_0, all_94_3) = all_202_0
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | REDUCE: (61), (278), (306) imply:
% 84.30/12.26 | | | | | | | (307) apply(all_32_5, all_48_1, all_48_0) = all_202_0
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | BETA: splitting (78) gives:
% 84.30/12.26 | | | | | | |
% 84.30/12.26 | | | | | | | Case 1:
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | (308) all_96_3 = all_94_3
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | COMBINE_EQS: (61), (308) imply:
% 84.30/12.26 | | | | | | | | (309) all_96_3 = all_48_0
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | REDUCE: (273), (309) imply:
% 84.30/12.26 | | | | | | | | (310) $false
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | CLOSE: (310) is inconsistent.
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | Case 2:
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | (311) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.26 | | | | | | | | all_90_0, all_96_3) = v1 & apply(all_32_5,
% 84.30/12.26 | | | | | | | | all_90_0, all_94_3) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 84.30/12.26 | | | | | | | | 0)))
% 84.30/12.26 | | | | | | | |
% 84.30/12.26 | | | | | | | | DELTA: instantiating (311) with fresh symbols all_207_0,
% 84.30/12.26 | | | | | | | | all_207_1 gives:
% 84.30/12.26 | | | | | | | | (312) apply(all_32_5, all_90_0, all_96_3) = all_207_0 &
% 84.30/12.27 | | | | | | | | apply(all_32_5, all_90_0, all_94_3) = all_207_1 & ( ~
% 84.30/12.27 | | | | | | | | (all_207_0 = 0) | ~ (all_207_1 = 0))
% 84.30/12.27 | | | | | | | |
% 84.30/12.27 | | | | | | | | ALPHA: (312) implies:
% 84.30/12.27 | | | | | | | | (313) apply(all_32_5, all_90_0, all_94_3) = all_207_1
% 84.30/12.27 | | | | | | | |
% 84.30/12.27 | | | | | | | | REDUCE: (61), (278), (313) imply:
% 84.30/12.27 | | | | | | | | (314) apply(all_32_5, all_48_1, all_48_0) = all_207_1
% 84.30/12.27 | | | | | | | |
% 84.30/12.27 | | | | | | | | BETA: splitting (75) gives:
% 84.30/12.27 | | | | | | | |
% 84.30/12.27 | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | (315) all_96_3 = all_94_3
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | COMBINE_EQS: (61), (315) imply:
% 84.30/12.27 | | | | | | | | | (316) all_96_3 = all_48_0
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | REDUCE: (273), (316) imply:
% 84.30/12.27 | | | | | | | | | (317) $false
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | CLOSE: (317) is inconsistent.
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | (318) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | all_56_0, all_96_3) = v1 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | all_56_0, all_94_3) = v0 & ( ~ (v1 = 0) | ~ (v0
% 84.30/12.27 | | | | | | | | | = 0)))
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | DELTA: instantiating (318) with fresh symbols all_212_0,
% 84.30/12.27 | | | | | | | | | all_212_1 gives:
% 84.30/12.27 | | | | | | | | | (319) apply(all_32_5, all_56_0, all_96_3) = all_212_0 &
% 84.30/12.27 | | | | | | | | | apply(all_32_5, all_56_0, all_94_3) = all_212_1 & ( ~
% 84.30/12.27 | | | | | | | | | (all_212_0 = 0) | ~ (all_212_1 = 0))
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | ALPHA: (319) implies:
% 84.30/12.27 | | | | | | | | | (320) apply(all_32_5, all_56_0, all_94_3) = all_212_1
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | REDUCE: (61), (277), (320) imply:
% 84.30/12.27 | | | | | | | | | (321) apply(all_32_5, all_48_1, all_48_0) = all_212_1
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | BETA: splitting (51) gives:
% 84.30/12.27 | | | | | | | | |
% 84.30/12.27 | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | (322) all_96_3 = all_48_0
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | REDUCE: (273), (322) imply:
% 84.30/12.27 | | | | | | | | | | (323) $false
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | CLOSE: (323) is inconsistent.
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | (324) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | all_88_0, all_96_3) = v0 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | all_88_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | DELTA: instantiating (324) with fresh symbols all_217_0,
% 84.30/12.27 | | | | | | | | | | all_217_1 gives:
% 84.30/12.27 | | | | | | | | | | (325) apply(all_32_5, all_88_0, all_96_3) = all_217_1 &
% 84.30/12.27 | | | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = all_217_0 & (
% 84.30/12.27 | | | | | | | | | | ~ (all_217_0 = 0) | ~ (all_217_1 = 0))
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | ALPHA: (325) implies:
% 84.30/12.27 | | | | | | | | | | (326) apply(all_32_5, all_88_0, all_48_0) = all_217_0
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | REDUCE: (275), (326) imply:
% 84.30/12.27 | | | | | | | | | | (327) apply(all_32_5, all_48_1, all_48_0) = all_217_0
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | BETA: splitting (64) gives:
% 84.30/12.27 | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | (328) all_96_3 = all_94_3
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | COMBINE_EQS: (61), (328) imply:
% 84.30/12.27 | | | | | | | | | | | (329) all_96_3 = all_48_0
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | REDUCE: (273), (329) imply:
% 84.30/12.27 | | | | | | | | | | | (330) $false
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | (331) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | all_56_0, all_96_3) = v0 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | all_56_0, all_94_3) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | DELTA: instantiating (331) with fresh symbols all_222_0,
% 84.30/12.27 | | | | | | | | | | | all_222_1 gives:
% 84.30/12.27 | | | | | | | | | | | (332) apply(all_32_5, all_56_0, all_96_3) = all_222_1 &
% 84.30/12.27 | | | | | | | | | | | apply(all_32_5, all_56_0, all_94_3) = all_222_0 &
% 84.30/12.27 | | | | | | | | | | | ( ~ (all_222_0 = 0) | ~ (all_222_1 = 0))
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | ALPHA: (332) implies:
% 84.30/12.27 | | | | | | | | | | | (333) apply(all_32_5, all_56_0, all_94_3) = all_222_0
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | REDUCE: (61), (277), (333) imply:
% 84.30/12.27 | | | | | | | | | | | (334) apply(all_32_5, all_48_1, all_48_0) = all_222_0
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | BETA: splitting (46) gives:
% 84.30/12.27 | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | (335) all_94_3 = all_92_0
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | COMBINE_EQS: (61), (335) imply:
% 84.30/12.27 | | | | | | | | | | | | (336) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | SIMP: (336) implies:
% 84.30/12.27 | | | | | | | | | | | | (337) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | (273), (274), (277), (337) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | (338) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | all_88_0, all_94_3) = v0 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | all_88_0, all_92_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | DELTA: instantiating (338) with fresh symbols all_306_0,
% 84.30/12.27 | | | | | | | | | | | | all_306_1 gives:
% 84.30/12.27 | | | | | | | | | | | | (339) apply(all_32_5, all_88_0, all_94_3) = all_306_1 &
% 84.30/12.27 | | | | | | | | | | | | apply(all_32_5, all_88_0, all_92_0) = all_306_0 &
% 84.30/12.27 | | | | | | | | | | | | ( ~ (all_306_0 = 0) | ~ (all_306_1 = 0))
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | ALPHA: (339) implies:
% 84.30/12.27 | | | | | | | | | | | | (340) apply(all_32_5, all_88_0, all_94_3) = all_306_1
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | REDUCE: (61), (275), (340) imply:
% 84.30/12.27 | | | | | | | | | | | | (341) apply(all_32_5, all_48_1, all_48_0) = all_306_1
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | BETA: splitting (23) gives:
% 84.30/12.27 | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | (342) all_94_3 = all_92_0
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | COMBINE_EQS: (61), (342) imply:
% 84.30/12.27 | | | | | | | | | | | | | (343) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | SIMP: (343) implies:
% 84.30/12.27 | | | | | | | | | | | | | (344) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | (273), (274), (277), (344) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | (345) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | all_90_0, all_94_3) = v1 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | all_90_0, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | DELTA: instantiating (345) with fresh symbols all_342_0,
% 84.30/12.27 | | | | | | | | | | | | | all_342_1 gives:
% 84.30/12.27 | | | | | | | | | | | | | (346) apply(all_32_5, all_90_0, all_94_3) = all_342_0 &
% 84.30/12.27 | | | | | | | | | | | | | apply(all_32_5, all_90_0, all_92_0) = all_342_1 &
% 84.30/12.27 | | | | | | | | | | | | | ( ~ (all_342_0 = 0) | ~ (all_342_1 = 0))
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | ALPHA: (346) implies:
% 84.30/12.27 | | | | | | | | | | | | | (347) apply(all_32_5, all_90_0, all_94_3) = all_342_0
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | REDUCE: (61), (278), (347) imply:
% 84.30/12.27 | | | | | | | | | | | | | (348) apply(all_32_5, all_48_1, all_48_0) = all_342_0
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | BETA: splitting (74) gives:
% 84.30/12.27 | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | (349) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | | (273), (274), (277), (349) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | (350) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | all_48_1, all_92_0) = v0 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | all_48_1, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | DELTA: instantiating (350) with fresh symbols all_348_0,
% 84.30/12.27 | | | | | | | | | | | | | | all_348_1 gives:
% 84.30/12.27 | | | | | | | | | | | | | | (351) apply(all_32_5, all_48_1, all_92_0) = all_348_1 &
% 84.30/12.27 | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = all_348_0 &
% 84.30/12.27 | | | | | | | | | | | | | | ( ~ (all_348_0 = 0) | ~ (all_348_1 = 0))
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | ALPHA: (351) implies:
% 84.30/12.27 | | | | | | | | | | | | | | (352) apply(all_32_5, all_48_1, all_48_0) = all_348_0
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 84.30/12.27 | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | (353) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | | | (273), (274), (277), (353) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | (354) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | all_56_0, all_92_0) = v1 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | all_56_0, all_48_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | DELTA: instantiating (354) with fresh symbols all_359_0,
% 84.30/12.27 | | | | | | | | | | | | | | | all_359_1 gives:
% 84.30/12.27 | | | | | | | | | | | | | | | (355) apply(all_32_5, all_56_0, all_92_0) = all_359_0 &
% 84.30/12.27 | | | | | | | | | | | | | | | apply(all_32_5, all_56_0, all_48_0) = all_359_1 &
% 84.30/12.27 | | | | | | | | | | | | | | | ( ~ (all_359_0 = 0) | ~ (all_359_1 = 0))
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 84.30/12.27 | | | | | | | | | | | | | | | (356) apply(all_32_5, all_56_0, all_48_0) = all_359_1
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | REDUCE: (277), (356) imply:
% 84.30/12.27 | | | | | | | | | | | | | | | (357) apply(all_32_5, all_48_1, all_48_0) = all_359_1
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 84.30/12.27 | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | (358) all_94_3 = all_92_0
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (358) imply:
% 84.30/12.27 | | | | | | | | | | | | | | | | (359) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 84.30/12.27 | | | | | | | | | | | | | | | | (360) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | | | | (273), (274), (277), (360) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | (361) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | | all_88_0, all_94_3) = v1 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | | all_88_0, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | DELTA: instantiating (361) with fresh symbols all_383_0,
% 84.30/12.27 | | | | | | | | | | | | | | | | all_383_1 gives:
% 84.30/12.27 | | | | | | | | | | | | | | | | (362) apply(all_32_5, all_88_0, all_94_3) = all_383_0 &
% 84.30/12.27 | | | | | | | | | | | | | | | | apply(all_32_5, all_88_0, all_92_0) = all_383_1 &
% 84.30/12.27 | | | | | | | | | | | | | | | | ( ~ (all_383_0 = 0) | ~ (all_383_1 = 0))
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 84.30/12.27 | | | | | | | | | | | | | | | | (363) apply(all_32_5, all_88_0, all_94_3) = all_383_0
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | REDUCE: (61), (275), (363) imply:
% 84.30/12.27 | | | | | | | | | | | | | | | | (364) apply(all_32_5, all_48_1, all_48_0) = all_383_0
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 84.30/12.27 | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | (365) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | | | | | (273), (274), (277), (365) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | (366) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | | | all_88_0, all_92_0) = v0 & apply(all_32_5,
% 84.30/12.27 | | | | | | | | | | | | | | | | | all_88_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.27 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | DELTA: instantiating (366) with fresh symbols all_425_0,
% 84.30/12.27 | | | | | | | | | | | | | | | | | all_425_1 gives:
% 84.30/12.27 | | | | | | | | | | | | | | | | | (367) apply(all_32_5, all_88_0, all_92_0) = all_425_1 &
% 84.30/12.27 | | | | | | | | | | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = all_425_0 &
% 84.30/12.27 | | | | | | | | | | | | | | | | | ( ~ (all_425_0 = 0) | ~ (all_425_1 = 0))
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 84.30/12.27 | | | | | | | | | | | | | | | | | (368) apply(all_32_5, all_88_0, all_48_0) = all_425_0
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | REDUCE: (275), (368) imply:
% 84.30/12.27 | | | | | | | | | | | | | | | | | (369) apply(all_32_5, all_48_1, all_48_0) = all_425_0
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 84.30/12.27 | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.27 | | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | | (370) all_92_0 = all_48_0
% 84.30/12.27 | | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.27 | | | | | | | | | | | | | | | | | | (273), (274), (277), (370) are inconsistent by
% 84.30/12.27 | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.27 | | | | | | | | | | | | | | | | | |
% 84.30/12.27 | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.27 | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | (371) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | all_48_1, all_92_0) = v1 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | all_48_1, all_48_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | DELTA: instantiating (371) with fresh symbols all_431_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | all_431_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | (372) apply(all_32_5, all_48_1, all_92_0) = all_431_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_48_0) = all_431_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | ( ~ (all_431_0 = 0) | ~ (all_431_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | (373) apply(all_32_5, all_48_1, all_48_0) = all_431_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (374) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (273), (274), (277), (374) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (375) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | all_56_0, all_92_0) = v0 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (375) with fresh symbols all_443_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | all_443_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (376) apply(all_32_5, all_56_0, all_92_0) = all_443_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_56_0, all_48_0) = all_443_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | ( ~ (all_443_0 = 0) | ~ (all_443_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (377) apply(all_32_5, all_56_0, all_48_0) = all_443_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | REDUCE: (277), (377) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | (378) apply(all_32_5, all_48_1, all_48_0) = all_443_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (379) all_94_3 = all_92_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (379) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (380) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | SIMP: (380) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (381) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (381) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (382) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | all_90_0, all_94_3) = v0 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | all_90_0, all_92_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (382) with fresh symbols all_449_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | all_449_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (383) apply(all_32_5, all_90_0, all_94_3) = all_449_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_90_0, all_92_0) = all_449_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | ( ~ (all_449_0 = 0) | ~ (all_449_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (383) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (384) apply(all_32_5, all_90_0, all_94_3) = all_449_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (278), (384) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | (385) apply(all_32_5, all_48_1, all_48_0) = all_449_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (386) all_96_3 = all_94_3
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (386) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (387) all_96_3 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (387) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (388) $false
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (389) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | all_48_1, all_96_3) = v0 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | all_48_1, all_94_3) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_467_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | all_467_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (390) apply(all_32_5, all_48_1, all_96_3) = all_467_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_94_3) = all_467_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_467_0 = 0) | ~ (all_467_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (391) apply(all_32_5, all_48_1, all_94_3) = all_467_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (391) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | (392) apply(all_32_5, all_48_1, all_48_0) = all_467_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (393) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (393) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (394) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_5, all_56_0, all_48_0) = v2 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | member(all_92_0, all_32_2) = v1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | member(all_56_0, all_32_3) = v0 & ( ~ (v2 = 0) |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_473_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | all_473_1, all_473_2 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (395) apply(all_32_5, all_56_0, all_48_0) = all_473_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | member(all_92_0, all_32_2) = all_473_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | member(all_56_0, all_32_3) = all_473_2 & ( ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (all_473_0 = 0) | ~ (all_473_1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (all_473_2 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (396) apply(all_32_5, all_56_0, all_48_0) = all_473_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (396) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | (397) apply(all_32_5, all_48_1, all_48_0) = all_473_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (398) all_94_3 = all_92_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (398) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (399) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (399) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (400) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (400) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (401) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_94_3) = v0 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_92_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (401) with fresh symbols all_479_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | all_479_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (402) apply(all_32_5, all_48_1, all_94_3) = all_479_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_92_0) = all_479_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_479_0 = 0) | ~ (all_479_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (403) apply(all_32_5, all_48_1, all_92_0) = all_479_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (404) apply(all_32_5, all_48_1, all_94_3) = all_479_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (405) ~ (all_479_0 = 0) | ~ (all_479_1 = 0)
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (404) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | (406) apply(all_32_5, all_48_1, all_48_0) = all_479_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (407) all_94_3 = all_92_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (407) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (408) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (408) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (409) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (409) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (410) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_94_3) = v0 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_92_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (410) with fresh symbols all_491_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | all_491_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (411) apply(all_32_5, all_56_0, all_94_3) = all_491_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = all_491_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_491_0 = 0) | ~ (all_491_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (411) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (412) apply(all_32_5, all_56_0, all_92_0) = all_491_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (413) apply(all_32_5, all_56_0, all_94_3) = all_491_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (277), (413) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (414) apply(all_32_5, all_48_1, all_48_0) = all_491_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (412) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | (415) apply(all_32_5, all_48_1, all_92_0) = all_491_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (416) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (417) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_88_0, all_92_0) = v1 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_88_0, all_48_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (417) with fresh symbols all_497_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_497_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (418) apply(all_32_5, all_88_0, all_92_0) = all_497_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_88_0, all_48_0) = all_497_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_497_0 = 0) | ~ (all_497_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (419) apply(all_32_5, all_88_0, all_48_0) = all_497_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (420) apply(all_32_5, all_88_0, all_92_0) = all_497_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (420) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (421) apply(all_32_5, all_48_1, all_92_0) = all_497_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (419) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | (422) apply(all_32_5, all_48_1, all_48_0) = all_497_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (423) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (424) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, all_92_0) = v1 & apply(all_32_5,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, all_48_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (424) with fresh symbols all_503_0,
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_503_1 gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (425) apply(all_32_5, all_90_0, all_92_0) = all_503_0 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = all_503_1 &
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_503_0 = 0) | ~ (all_503_1 = 0))
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (426) apply(all_32_5, all_90_0, all_48_0) = all_503_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (427) apply(all_32_5, all_90_0, all_92_0) = all_503_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (427) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (428) apply(all_32_5, all_48_1, all_92_0) = all_503_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (426) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (429) apply(all_32_5, all_48_1, all_48_0) = all_503_1
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_94_3 = all_92_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (430) imply:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (431) implies:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_92_0 = all_48_0
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (432) are inconsistent by
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_94_3) = v1 & apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (433) with fresh symbols all_509_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_509_1 gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) apply(all_32_5, all_48_1, all_94_3) = all_509_0 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_48_1, all_92_0) = all_509_1 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_509_0 = 0) | ~ (all_509_1 = 0))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) apply(all_32_5, all_48_1, all_92_0) = all_509_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) apply(all_32_5, all_48_1, all_94_3) = all_509_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (436) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) apply(all_32_5, all_48_1, all_48_0) = all_509_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_92_0 = all_48_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (438) are inconsistent by
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, all_92_0) = v0 & apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_90_0, all_48_0) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (439) with fresh symbols all_521_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_521_1 gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) apply(all_32_5, all_90_0, all_92_0) = all_521_1 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_90_0, all_48_0) = all_521_0 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_521_0 = 0) | ~ (all_521_1 = 0))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) apply(all_32_5, all_90_0, all_48_0) = all_521_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) apply(all_32_5, all_90_0, all_92_0) = all_521_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (442) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) apply(all_32_5, all_48_1, all_92_0) = all_521_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (278), (441) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) apply(all_32_5, all_48_1, all_48_0) = all_521_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_94_3 = all_92_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (445) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_92_0 = all_48_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (446) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_92_0 = all_48_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (31), (43), (47), (57), (61), (66),
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (274), (277), (447) are inconsistent by
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_94_3) = v1 & apply(all_32_5,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_0, all_92_0) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (448) with fresh symbols all_527_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_527_1 gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) apply(all_32_5, all_56_0, all_94_3) = all_527_0 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_56_0, all_92_0) = all_527_1 &
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_527_0 = 0) | ~ (all_527_1 = 0))
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (449) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) apply(all_32_5, all_56_0, all_92_0) = all_527_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) apply(all_32_5, all_56_0, all_94_3) = all_527_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (277), (451) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) apply(all_32_5, all_48_1, all_48_0) = all_527_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (450) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) apply(all_32_5, all_48_1, all_92_0) = all_527_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_88_0 = all_48_2
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (454) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_48_1 = all_48_2
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_48_1 = all_48_2
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (456) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) $false
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (457) is inconsistent.
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_202_0, all_207_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307), (314) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_207_1 = all_202_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_207_1, all_212_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314), (321) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_212_1 = all_207_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_212_1, all_217_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321), (327) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_217_0 = all_212_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_217_0, all_222_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327), (334) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_222_0 = all_217_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_192_1, all_306_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293), (341) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_306_1 = all_192_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_222_0, all_342_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334), (348) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_342_0 = all_222_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_306_1, all_348_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341), (352) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_348_0 = all_306_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_342_0, all_383_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348), (364) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_383_0 = all_342_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_383_0, all_425_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (369) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_425_0 = all_383_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_425_0, all_443_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369), (378) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_443_0 = all_425_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_443_0, all_449_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378), (385) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_449_1 = all_443_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_449_1, all_467_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385), (392) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_467_0 = all_449_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_431_1, all_473_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (397) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_473_0 = all_431_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_383_0, all_473_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (397) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_473_0 = all_383_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_167_1, all_473_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286), (397) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_473_0 = all_167_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_467_0, all_479_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (406) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_479_1 = all_467_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_479_1, all_491_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406), (414) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_491_1 = all_479_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_491_1, all_497_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (422) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_497_1 = all_491_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_497_1, all_503_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422), (429) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_503_1 = all_497_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_207_1, all_509_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314), (437) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_509_0 = all_207_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_197_0, all_509_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300), (437) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_509_0 = all_197_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_192_1, all_509_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293), (437) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_509_0 = all_192_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_503_1, all_521_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429), (444) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_521_0 = all_503_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_359_1, all_521_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (444) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_521_0 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_527_0, all_48_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_32_5, simplifying with (10), (452)
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_527_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_348_0, all_527_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (452) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_527_0 = all_348_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_479_0, all_491_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403), (415) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_491_0 = all_479_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_491_0, all_497_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415), (421) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_497_0 = all_491_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_497_0, all_503_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421), (428) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_503_0 = all_497_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_503_0, all_509_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428), (435) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_509_1 = all_503_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_509_1, all_521_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (443) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_521_1 = all_509_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_521_1, all_527_1,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_92_0, all_48_1, all_32_5, simplifying with
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443), (453) gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_527_1 = all_521_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_527_1, all_92_0,
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, all_32_5, simplifying with (279), (453)
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_527_1 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (483) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_348_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (491) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_348_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (490) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_521_1 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_521_1 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (481) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_503_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (495) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_503_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (494) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_509_1 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (497) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_509_1 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (478) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_207_1 = all_197_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (499) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_207_1 = all_197_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (479) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_197_0 = all_192_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (498) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_503_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (502) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_503_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (503) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_497_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (504) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_497_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (496) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_497_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (506) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_497_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (505) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_491_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (508) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_491_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (507) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_491_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (510) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_491_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (509) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_479_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (512) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_479_0 = 0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (511) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_479_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (514) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_479_1 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (515) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_467_0 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (516) implies:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_467_0 = all_359_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (472) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_431_1 = all_167_1
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (471) imply:
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_431_1 = all_383_0
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (517) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_449_1 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_449_1 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (521) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_443_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (522) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_443_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (523) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_425_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (524) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_425_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (519) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_383_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (526) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_383_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (525) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_383_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (528) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_383_0 = all_359_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (529) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_359_1 = all_342_0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (529) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_359_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (530), (531) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_342_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (532) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_342_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (492) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_306_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (534) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_306_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (533) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_222_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (536) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_222_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (535) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_192_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (538) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_192_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (537) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_217_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (540) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_217_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (541) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_212_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (542) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_212_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (543) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_207_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (544) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) all_207_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (500) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_202_0 = all_197_0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (545) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_202_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (547) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_197_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (548) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_197_0 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (549) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_192_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (550) implies:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) all_192_1 = all_167_1
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (551) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_167_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (552) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_359_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (553) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_479_1 = 0
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) ~ (all_479_0 = 0)
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (513), (555) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) $false
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent.
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) ~ (all_479_1 = 0)
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (557) imply:
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) $false
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (558) is inconsistent.
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | | |
% 84.30/12.30 | | | | | | | | | End of split
% 84.30/12.30 | | | | | | | | |
% 84.30/12.30 | | | | | | | | End of split
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | End of split
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | End of split
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | End of split
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | End of split
% 84.30/12.30 | | | |
% 84.30/12.30 | | | End of split
% 84.30/12.30 | | |
% 84.30/12.30 | | Case 2:
% 84.30/12.30 | | |
% 84.30/12.30 | | | (559) ~ (all_88_0 = all_48_1)
% 84.30/12.30 | | | (560) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_4,
% 84.30/12.30 | | | all_94_3, all_88_0) = v2 & member(all_94_3, all_32_2) = v0 &
% 84.30/12.30 | | | member(all_48_1, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 84.30/12.30 | | | ~ (v0 = 0)))
% 84.30/12.30 | | |
% 84.30/12.30 | | | DELTA: instantiating (560) with fresh symbols all_164_0, all_164_1,
% 84.30/12.30 | | | all_164_2 gives:
% 84.30/12.30 | | | (561) apply(all_32_4, all_94_3, all_88_0) = all_164_0 &
% 84.30/12.30 | | | member(all_94_3, all_32_2) = all_164_2 & member(all_48_1,
% 84.30/12.30 | | | all_32_3) = all_164_1 & ( ~ (all_164_0 = 0) | ~ (all_164_1 =
% 84.30/12.30 | | | 0) | ~ (all_164_2 = 0))
% 84.30/12.30 | | |
% 84.30/12.30 | | | ALPHA: (561) implies:
% 84.30/12.30 | | | (562) apply(all_32_4, all_94_3, all_88_0) = all_164_0
% 84.30/12.30 | | |
% 84.30/12.30 | | | REDUCE: (52), (559) imply:
% 84.30/12.30 | | | (563) ~ (all_56_0 = all_48_1)
% 84.30/12.30 | | |
% 84.30/12.30 | | | REDUCE: (52), (61), (562) imply:
% 84.30/12.30 | | | (564) apply(all_32_4, all_48_0, all_56_0) = all_164_0
% 84.30/12.30 | | |
% 84.30/12.30 | | | BETA: splitting (53) gives:
% 84.30/12.30 | | |
% 84.30/12.30 | | | Case 1:
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | (565) all_56_0 = all_48_1
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | REDUCE: (563), (565) imply:
% 84.30/12.30 | | | | (566) $false
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | CLOSE: (566) is inconsistent.
% 84.30/12.30 | | | |
% 84.30/12.30 | | | Case 2:
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | (567) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 84.30/12.30 | | | | all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0 &
% 84.30/12.30 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | DELTA: instantiating (567) with fresh symbols all_230_0, all_230_1
% 84.30/12.30 | | | | gives:
% 84.30/12.30 | | | | (568) apply(all_32_4, all_48_0, all_56_0) = all_230_0 &
% 84.30/12.30 | | | | apply(all_32_4, all_48_0, all_48_1) = all_230_1 & ( ~
% 84.30/12.30 | | | | (all_230_0 = 0) | ~ (all_230_1 = 0))
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | ALPHA: (568) implies:
% 84.30/12.30 | | | | (569) apply(all_32_4, all_48_0, all_48_1) = all_230_1
% 84.30/12.30 | | | | (570) apply(all_32_4, all_48_0, all_56_0) = all_230_0
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | BETA: splitting (37) gives:
% 84.30/12.30 | | | |
% 84.30/12.30 | | | | Case 1:
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | (571) all_90_0 = all_48_1
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | COMBINE_EQS: (80), (571) imply:
% 84.30/12.30 | | | | | (572) all_56_0 = all_48_1
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | REDUCE: (563), (572) imply:
% 84.30/12.30 | | | | | (573) $false
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | CLOSE: (573) is inconsistent.
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | Case 2:
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | (574) ~ (all_90_0 = all_48_1)
% 84.30/12.30 | | | | | (575) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 84.30/12.30 | | | | | all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_1) = v1
% 84.30/12.30 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | DELTA: instantiating (575) with fresh symbols all_236_0, all_236_1
% 84.30/12.30 | | | | | gives:
% 84.30/12.30 | | | | | (576) apply(all_32_4, all_48_0, all_90_0) = all_236_1 &
% 84.30/12.30 | | | | | apply(all_32_4, all_48_0, all_48_1) = all_236_0 & ( ~
% 84.30/12.30 | | | | | (all_236_0 = 0) | ~ (all_236_1 = 0))
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | ALPHA: (576) implies:
% 84.30/12.30 | | | | | (577) apply(all_32_4, all_48_0, all_48_1) = all_236_0
% 84.30/12.30 | | | | | (578) apply(all_32_4, all_48_0, all_90_0) = all_236_1
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | REDUCE: (80), (578) imply:
% 84.30/12.30 | | | | | (579) apply(all_32_4, all_48_0, all_56_0) = all_236_1
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | BETA: splitting (18) gives:
% 84.30/12.30 | | | | |
% 84.30/12.30 | | | | | Case 1:
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | (580) all_56_0 = all_48_1
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | REDUCE: (563), (580) imply:
% 84.30/12.30 | | | | | | (581) $false
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | CLOSE: (581) is inconsistent.
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | Case 2:
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | (582) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.30 | | | | | | (apply(all_32_4, all_48_0, all_48_1) = v2 &
% 84.30/12.30 | | | | | | member(all_56_0, all_32_3) = v1 & member(all_48_0,
% 84.30/12.30 | | | | | | all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 84.30/12.30 | | | | | | 0)))
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | DELTA: instantiating (582) with fresh symbols all_272_0, all_272_1,
% 84.30/12.30 | | | | | | all_272_2 gives:
% 84.30/12.30 | | | | | | (583) apply(all_32_4, all_48_0, all_48_1) = all_272_0 &
% 84.30/12.30 | | | | | | member(all_56_0, all_32_3) = all_272_1 & member(all_48_0,
% 84.30/12.30 | | | | | | all_32_2) = all_272_2 & ( ~ (all_272_0 = 0) | ~
% 84.30/12.30 | | | | | | (all_272_1 = 0) | ~ (all_272_2 = 0))
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | ALPHA: (583) implies:
% 84.30/12.30 | | | | | | (584) apply(all_32_4, all_48_0, all_48_1) = all_272_0
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | BETA: splitting (13) gives:
% 84.30/12.30 | | | | | |
% 84.30/12.30 | | | | | | Case 1:
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | (585) all_56_0 = all_48_1
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | REDUCE: (563), (585) imply:
% 84.30/12.30 | | | | | | | (586) $false
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | CLOSE: (586) is inconsistent.
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | Case 2:
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | (587) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0,
% 84.30/12.30 | | | | | | | all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_1)
% 84.30/12.30 | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | DELTA: instantiating (587) with fresh symbols all_278_0, all_278_1
% 84.30/12.30 | | | | | | | gives:
% 84.30/12.30 | | | | | | | (588) apply(all_32_4, all_58_0, all_56_0) = all_278_1 &
% 84.30/12.30 | | | | | | | apply(all_32_4, all_58_0, all_48_1) = all_278_0 & ( ~
% 84.30/12.30 | | | | | | | (all_278_0 = 0) | ~ (all_278_1 = 0))
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | ALPHA: (588) implies:
% 84.30/12.30 | | | | | | | (589) apply(all_32_4, all_58_0, all_48_1) = all_278_0
% 84.30/12.30 | | | | | | | (590) apply(all_32_4, all_58_0, all_56_0) = all_278_1
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | REDUCE: (56), (590) imply:
% 84.30/12.30 | | | | | | | (591) apply(all_32_4, all_48_0, all_56_0) = all_278_1
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | REDUCE: (56), (589) imply:
% 84.30/12.30 | | | | | | | (592) apply(all_32_4, all_48_0, all_48_1) = all_278_0
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | BETA: splitting (69) gives:
% 84.30/12.30 | | | | | | |
% 84.30/12.30 | | | | | | | Case 1:
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | (593) all_88_0 = all_48_1
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | COMBINE_EQS: (52), (593) imply:
% 84.30/12.30 | | | | | | | | (594) all_56_0 = all_48_1
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | SIMP: (594) implies:
% 84.30/12.30 | | | | | | | | (595) all_56_0 = all_48_1
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | REDUCE: (563), (595) imply:
% 84.30/12.30 | | | | | | | | (596) $false
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | CLOSE: (596) is inconsistent.
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | Case 2:
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | (597) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.30 | | | | | | | | all_94_3, all_88_0) = v1 & apply(all_32_4,
% 84.30/12.30 | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 84.30/12.30 | | | | | | | | 0)))
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | DELTA: instantiating (597) with fresh symbols all_284_0,
% 84.30/12.30 | | | | | | | | all_284_1 gives:
% 84.30/12.30 | | | | | | | | (598) apply(all_32_4, all_94_3, all_88_0) = all_284_0 &
% 84.30/12.30 | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_284_1 & ( ~
% 84.30/12.30 | | | | | | | | (all_284_0 = 0) | ~ (all_284_1 = 0))
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | ALPHA: (598) implies:
% 84.30/12.30 | | | | | | | | (599) apply(all_32_4, all_94_3, all_48_1) = all_284_1
% 84.30/12.30 | | | | | | | | (600) apply(all_32_4, all_94_3, all_88_0) = all_284_0
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | REDUCE: (52), (61), (600) imply:
% 84.30/12.30 | | | | | | | | (601) apply(all_32_4, all_48_0, all_56_0) = all_284_0
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | REDUCE: (61), (599) imply:
% 84.30/12.30 | | | | | | | | (602) apply(all_32_4, all_48_0, all_48_1) = all_284_1
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | BETA: splitting (24) gives:
% 84.30/12.30 | | | | | | | |
% 84.30/12.30 | | | | | | | | Case 1:
% 84.30/12.30 | | | | | | | | |
% 84.30/12.30 | | | | | | | | | (603) all_90_0 = all_48_1
% 84.30/12.30 | | | | | | | | |
% 84.30/12.30 | | | | | | | | | COMBINE_EQS: (80), (603) imply:
% 84.30/12.30 | | | | | | | | | (604) all_56_0 = all_48_1
% 84.30/12.30 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | REDUCE: (563), (604) imply:
% 84.30/12.31 | | | | | | | | | (605) $false
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | CLOSE: (605) is inconsistent.
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | (606) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | all_94_3, all_90_0) = v1 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0
% 84.30/12.31 | | | | | | | | | = 0)))
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | DELTA: instantiating (606) with fresh symbols all_300_0,
% 84.30/12.31 | | | | | | | | | all_300_1 gives:
% 84.30/12.31 | | | | | | | | | (607) apply(all_32_4, all_94_3, all_90_0) = all_300_0 &
% 84.30/12.31 | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_300_1 & ( ~
% 84.30/12.31 | | | | | | | | | (all_300_0 = 0) | ~ (all_300_1 = 0))
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | ALPHA: (607) implies:
% 84.30/12.31 | | | | | | | | | (608) apply(all_32_4, all_94_3, all_48_1) = all_300_1
% 84.30/12.31 | | | | | | | | | (609) apply(all_32_4, all_94_3, all_90_0) = all_300_0
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | REDUCE: (61), (80), (609) imply:
% 84.30/12.31 | | | | | | | | | (610) apply(all_32_4, all_48_0, all_56_0) = all_300_0
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | REDUCE: (61), (608) imply:
% 84.30/12.31 | | | | | | | | | (611) apply(all_32_4, all_48_0, all_48_1) = all_300_1
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | BETA: splitting (9) gives:
% 84.30/12.31 | | | | | | | | |
% 84.30/12.31 | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | (612) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | REDUCE: (563), (612) imply:
% 84.30/12.31 | | | | | | | | | | (613) $false
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | CLOSE: (613) is inconsistent.
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | (614) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | all_60_0, all_56_0) = v1 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | all_60_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | DELTA: instantiating (614) with fresh symbols all_312_0,
% 84.30/12.31 | | | | | | | | | | all_312_1 gives:
% 84.30/12.31 | | | | | | | | | | (615) apply(all_32_4, all_60_0, all_56_0) = all_312_0 &
% 84.30/12.31 | | | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_312_1 & (
% 84.30/12.31 | | | | | | | | | | ~ (all_312_0 = 0) | ~ (all_312_1 = 0))
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | ALPHA: (615) implies:
% 84.30/12.31 | | | | | | | | | | (616) apply(all_32_4, all_60_0, all_48_1) = all_312_1
% 84.30/12.31 | | | | | | | | | | (617) apply(all_32_4, all_60_0, all_56_0) = all_312_0
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | REDUCE: (33), (617) imply:
% 84.30/12.31 | | | | | | | | | | (618) apply(all_32_4, all_48_0, all_56_0) = all_312_0
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | REDUCE: (33), (616) imply:
% 84.30/12.31 | | | | | | | | | | (619) apply(all_32_4, all_48_0, all_48_1) = all_312_1
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | BETA: splitting (19) gives:
% 84.30/12.31 | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | (620) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | REDUCE: (563), (620) imply:
% 84.30/12.31 | | | | | | | | | | | (621) $false
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | CLOSE: (621) is inconsistent.
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | (622) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | all_58_0, all_56_0) = v1 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | all_58_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | DELTA: instantiating (622) with fresh symbols all_324_0,
% 84.30/12.31 | | | | | | | | | | | all_324_1 gives:
% 84.30/12.31 | | | | | | | | | | | (623) apply(all_32_4, all_58_0, all_56_0) = all_324_0 &
% 84.30/12.31 | | | | | | | | | | | apply(all_32_4, all_58_0, all_48_1) = all_324_1 &
% 84.30/12.31 | | | | | | | | | | | ( ~ (all_324_0 = 0) | ~ (all_324_1 = 0))
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | ALPHA: (623) implies:
% 84.30/12.31 | | | | | | | | | | | (624) apply(all_32_4, all_58_0, all_48_1) = all_324_1
% 84.30/12.31 | | | | | | | | | | | (625) apply(all_32_4, all_58_0, all_56_0) = all_324_0
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | REDUCE: (56), (625) imply:
% 84.30/12.31 | | | | | | | | | | | (626) apply(all_32_4, all_48_0, all_56_0) = all_324_0
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | REDUCE: (56), (624) imply:
% 84.30/12.31 | | | | | | | | | | | (627) apply(all_32_4, all_48_0, all_48_1) = all_324_1
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | BETA: splitting (63) gives:
% 84.30/12.31 | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | (628) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | REDUCE: (563), (628) imply:
% 84.30/12.31 | | | | | | | | | | | | (629) $false
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | CLOSE: (629) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | (630) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | all_60_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | DELTA: instantiating (630) with fresh symbols all_330_0,
% 84.30/12.31 | | | | | | | | | | | | all_330_1 gives:
% 84.30/12.31 | | | | | | | | | | | | (631) apply(all_32_4, all_60_0, all_56_0) = all_330_1 &
% 84.30/12.31 | | | | | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_330_0 &
% 84.30/12.31 | | | | | | | | | | | | ( ~ (all_330_0 = 0) | ~ (all_330_1 = 0))
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | ALPHA: (631) implies:
% 84.30/12.31 | | | | | | | | | | | | (632) apply(all_32_4, all_60_0, all_48_1) = all_330_0
% 84.30/12.31 | | | | | | | | | | | | (633) apply(all_32_4, all_60_0, all_56_0) = all_330_1
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | REDUCE: (33), (633) imply:
% 84.30/12.31 | | | | | | | | | | | | (634) apply(all_32_4, all_48_0, all_56_0) = all_330_1
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | REDUCE: (33), (632) imply:
% 84.30/12.31 | | | | | | | | | | | | (635) apply(all_32_4, all_48_0, all_48_1) = all_330_0
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | BETA: splitting (5) gives:
% 84.30/12.31 | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | (636) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | REDUCE: (563), (636) imply:
% 84.30/12.31 | | | | | | | | | | | | | (637) $false
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | CLOSE: (637) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | (638) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | all_48_0, all_56_0) = v0 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | all_48_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | DELTA: instantiating (638) with fresh symbols all_336_0,
% 84.30/12.31 | | | | | | | | | | | | | all_336_1 gives:
% 84.30/12.31 | | | | | | | | | | | | | (639) apply(all_32_4, all_48_0, all_56_0) = all_336_1 &
% 84.30/12.31 | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_336_0 &
% 84.30/12.31 | | | | | | | | | | | | | ( ~ (all_336_0 = 0) | ~ (all_336_1 = 0))
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | ALPHA: (639) implies:
% 84.30/12.31 | | | | | | | | | | | | | (640) apply(all_32_4, all_48_0, all_48_1) = all_336_0
% 84.30/12.31 | | | | | | | | | | | | | (641) apply(all_32_4, all_48_0, all_56_0) = all_336_1
% 84.30/12.31 | | | | | | | | | | | | | (642) ~ (all_336_0 = 0) | ~ (all_336_1 = 0)
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 84.30/12.31 | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | (643) all_90_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | COMBINE_EQS: (80), (643) imply:
% 84.30/12.31 | | | | | | | | | | | | | | (644) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | REDUCE: (563), (644) imply:
% 84.30/12.31 | | | | | | | | | | | | | | (645) $false
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | CLOSE: (645) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | (646) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | all_94_3, all_90_0) = v0 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | DELTA: instantiating (646) with fresh symbols all_342_0,
% 84.30/12.31 | | | | | | | | | | | | | | all_342_1 gives:
% 84.30/12.31 | | | | | | | | | | | | | | (647) apply(all_32_4, all_94_3, all_90_0) = all_342_1 &
% 84.30/12.31 | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_342_0 &
% 84.30/12.31 | | | | | | | | | | | | | | ( ~ (all_342_0 = 0) | ~ (all_342_1 = 0))
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | ALPHA: (647) implies:
% 84.30/12.31 | | | | | | | | | | | | | | (648) apply(all_32_4, all_94_3, all_48_1) = all_342_0
% 84.30/12.31 | | | | | | | | | | | | | | (649) apply(all_32_4, all_94_3, all_90_0) = all_342_1
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | REDUCE: (61), (80), (649) imply:
% 84.30/12.31 | | | | | | | | | | | | | | (650) apply(all_32_4, all_48_0, all_56_0) = all_342_1
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | REDUCE: (61), (648) imply:
% 84.30/12.31 | | | | | | | | | | | | | | (651) apply(all_32_4, all_48_0, all_48_1) = all_342_0
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 84.30/12.31 | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | (652) all_90_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | COMBINE_EQS: (80), (652) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | (653) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | REDUCE: (563), (653) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | (654) $false
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | CLOSE: (654) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | (655) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.30/12.31 | | | | | | | | | | | | | | | (apply(all_32_4, all_48_0, all_48_1) = v2 &
% 84.30/12.31 | | | | | | | | | | | | | | | member(all_90_0, all_32_3) = v1 &
% 84.30/12.31 | | | | | | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 84.30/12.31 | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | DELTA: instantiating (655) with fresh symbols all_348_0,
% 84.30/12.31 | | | | | | | | | | | | | | | all_348_1, all_348_2 gives:
% 84.30/12.31 | | | | | | | | | | | | | | | (656) apply(all_32_4, all_48_0, all_48_1) = all_348_0 &
% 84.30/12.31 | | | | | | | | | | | | | | | member(all_90_0, all_32_3) = all_348_1 &
% 84.30/12.31 | | | | | | | | | | | | | | | member(all_48_0, all_32_2) = all_348_2 & ( ~
% 84.30/12.31 | | | | | | | | | | | | | | | (all_348_0 = 0) | ~ (all_348_1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | | | | (all_348_2 = 0))
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 84.30/12.31 | | | | | | | | | | | | | | | (657) apply(all_32_4, all_48_0, all_48_1) = all_348_0
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 84.30/12.31 | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | (658) all_88_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (658) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | (659) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | SIMP: (659) implies:
% 84.30/12.31 | | | | | | | | | | | | | | | | (660) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | REDUCE: (563), (660) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | (661) $false
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | CLOSE: (661) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | (662) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | | | all_94_3, all_88_0) = v0 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | DELTA: instantiating (662) with fresh symbols all_354_0,
% 84.30/12.31 | | | | | | | | | | | | | | | | all_354_1 gives:
% 84.30/12.31 | | | | | | | | | | | | | | | | (663) apply(all_32_4, all_94_3, all_88_0) = all_354_1 &
% 84.30/12.31 | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_354_0 &
% 84.30/12.31 | | | | | | | | | | | | | | | | ( ~ (all_354_0 = 0) | ~ (all_354_1 = 0))
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 84.30/12.31 | | | | | | | | | | | | | | | | (664) apply(all_32_4, all_94_3, all_48_1) = all_354_0
% 84.30/12.31 | | | | | | | | | | | | | | | | (665) apply(all_32_4, all_94_3, all_88_0) = all_354_1
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | REDUCE: (52), (61), (665) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | (666) apply(all_32_4, all_48_0, all_56_0) = all_354_1
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | REDUCE: (61), (664) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | (667) apply(all_32_4, all_48_0, all_48_1) = all_354_0
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 84.30/12.31 | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | (668) all_90_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (668) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | | (669) all_56_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | REDUCE: (563), (669) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | | (670) $false
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | CLOSE: (670) is inconsistent.
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | (671) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | | | | all_48_0, all_90_0) = v1 & apply(all_32_4,
% 84.30/12.31 | | | | | | | | | | | | | | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.31 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | DELTA: instantiating (671) with fresh symbols all_360_0,
% 84.30/12.31 | | | | | | | | | | | | | | | | | all_360_1 gives:
% 84.30/12.31 | | | | | | | | | | | | | | | | | (672) apply(all_32_4, all_48_0, all_90_0) = all_360_0 &
% 84.30/12.31 | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_360_1 &
% 84.30/12.31 | | | | | | | | | | | | | | | | | ( ~ (all_360_0 = 0) | ~ (all_360_1 = 0))
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 84.30/12.31 | | | | | | | | | | | | | | | | | (673) apply(all_32_4, all_48_0, all_48_1) = all_360_1
% 84.30/12.31 | | | | | | | | | | | | | | | | | (674) apply(all_32_4, all_48_0, all_90_0) = all_360_0
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | REDUCE: (80), (674) imply:
% 84.30/12.31 | | | | | | | | | | | | | | | | | (675) apply(all_32_4, all_48_0, all_56_0) = all_360_0
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 84.30/12.31 | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.31 | | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | | (676) all_88_0 = all_48_1
% 84.30/12.31 | | | | | | | | | | | | | | | | | |
% 84.30/12.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (676) imply:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (677) all_56_0 = all_48_1
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | SIMP: (677) implies:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (678) all_56_0 = all_48_1
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | REDUCE: (563), (678) imply:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (679) $false
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | CLOSE: (679) is inconsistent.
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (680) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.30/12.32 | | | | | | | | | | | | | | | | | | all_48_0, all_88_0) = v1 & apply(all_32_4,
% 84.30/12.32 | | | | | | | | | | | | | | | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | DELTA: instantiating (680) with fresh symbols all_366_0,
% 84.30/12.32 | | | | | | | | | | | | | | | | | | all_366_1 gives:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (681) apply(all_32_4, all_48_0, all_88_0) = all_366_0 &
% 84.30/12.32 | | | | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_366_1 &
% 84.30/12.32 | | | | | | | | | | | | | | | | | | ( ~ (all_366_0 = 0) | ~ (all_366_1 = 0))
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | ALPHA: (681) implies:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (682) apply(all_32_4, all_48_0, all_48_1) = all_366_1
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (683) apply(all_32_4, all_48_0, all_88_0) = all_366_0
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | REDUCE: (52), (683) imply:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | (684) apply(all_32_4, all_48_0, all_56_0) = all_366_0
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 84.30/12.32 | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | Case 1:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | | (685) all_56_0 = all_48_1
% 84.30/12.32 | | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | | REDUCE: (563), (685) imply:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | | (686) $false
% 84.30/12.32 | | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | | CLOSE: (686) is inconsistent.
% 84.30/12.32 | | | | | | | | | | | | | | | | | | |
% 84.30/12.32 | | | | | | | | | | | | | | | | | | Case 2:
% 84.30/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (687) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v0 & apply(all_32_4,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (687) with fresh symbols all_372_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | all_372_1 gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (688) apply(all_32_4, all_94_3, all_56_0) = all_372_1 &
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_372_0 &
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | ( ~ (all_372_0 = 0) | ~ (all_372_1 = 0))
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (689) apply(all_32_4, all_94_3, all_48_1) = all_372_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (690) apply(all_32_4, all_94_3, all_56_0) = all_372_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | REDUCE: (61), (690) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (691) apply(all_32_4, all_48_0, all_56_0) = all_372_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | REDUCE: (61), (689) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | (692) apply(all_32_4, all_48_0, all_48_1) = all_372_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (693) all_56_0 = all_48_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (693) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (694) $false
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | CLOSE: (694) is inconsistent.
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (695) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v1 & apply(all_32_4,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (695) with fresh symbols all_378_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_378_1 gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (696) apply(all_32_4, all_94_3, all_56_0) = all_378_0 &
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_378_1 &
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | ( ~ (all_378_0 = 0) | ~ (all_378_1 = 0))
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (697) apply(all_32_4, all_94_3, all_48_1) = all_378_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (698) apply(all_32_4, all_94_3, all_56_0) = all_378_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (698) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (699) apply(all_32_4, all_48_0, all_56_0) = all_378_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (697) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (700) apply(all_32_4, all_48_0, all_48_1) = all_378_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_278_0, all_284_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (592), (602) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (701) all_284_1 = all_278_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_278_0, all_300_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (592), (611) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (702) all_300_1 = all_278_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_312_1, all_48_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (55), (619)
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (703) all_312_1 = 0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_300_1, all_330_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (611), (635) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (704) all_330_0 = all_300_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_71_1, all_336_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (1), (640) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (705) all_336_0 = all_71_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_330_0, all_342_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (635), (651) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (706) all_342_0 = all_330_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_272_0, all_342_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (584), (651) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (707) all_342_0 = all_272_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_336_0, all_348_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (640), (657) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (708) all_348_0 = all_336_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_312_1, all_348_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (619), (657) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (709) all_348_0 = all_312_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_300_1, all_348_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (611), (657) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (710) all_348_0 = all_300_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_236_0, all_348_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (577), (657) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (711) all_348_0 = all_236_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_360_1, all_366_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (673), (682) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (712) all_366_1 = all_360_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_354_0, all_366_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (667), (682) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (713) all_366_1 = all_354_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_284_1, all_366_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (602), (682) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (714) all_366_1 = all_284_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_366_1, all_372_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (682), (692) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (715) all_372_0 = all_366_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_230_1, all_372_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (569), (692) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (716) all_372_0 = all_230_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_360_1, all_378_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (673), (700) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (717) all_378_1 = all_360_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_324_1, all_378_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (627), (700) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (718) all_378_1 = all_324_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_278_1, all_312_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (591), (618) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (719) all_312_0 = all_278_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_230_0, all_312_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (570), (618) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (720) all_312_0 = all_230_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with 0, all_330_1, all_56_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (41), (634)
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (721) all_330_1 = 0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_312_0, all_330_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (618), (634) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (722) all_330_1 = all_312_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_164_0, all_336_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (564), (641) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (723) all_336_1 = all_164_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_336_1, all_360_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (641), (675) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (724) all_360_0 = all_336_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_284_0, all_360_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (601), (675) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (725) all_360_0 = all_284_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_278_1, all_360_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (591), (675) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (726) all_360_0 = all_278_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_324_0, all_366_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (626), (684) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (727) all_366_0 = all_324_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_236_1, all_366_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (579), (684) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (728) all_366_0 = all_236_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_342_1, all_372_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (650), (691) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (729) all_372_1 = all_342_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_324_0, all_372_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (626), (691) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (730) all_372_1 = all_324_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_300_0, all_372_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (610), (691) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (731) all_372_1 = all_300_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_278_1, all_372_1,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (591), (691) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (732) all_372_1 = all_278_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_372_1, all_378_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (691), (699) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (733) all_378_0 = all_372_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_354_1, all_378_0,
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | all_56_0, all_48_0, all_32_4, simplifying with
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (666), (699) gives:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (734) all_378_0 = all_354_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (734) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (735) all_372_1 = all_354_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (735) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (736) all_372_1 = all_354_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (718) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (737) all_360_1 = all_324_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (737) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (738) all_360_1 = all_324_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (716) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (739) all_366_1 = all_230_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (739) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (740) all_366_1 = all_230_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (736) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (741) all_354_1 = all_278_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (736) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (742) all_354_1 = all_324_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (729), (736) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (743) all_354_1 = all_342_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (731), (736) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (744) all_354_1 = all_300_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (727), (728) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (745) all_324_0 = all_236_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (745) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (746) all_324_0 = all_236_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (714) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (747) all_354_0 = all_284_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (740) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (748) all_354_0 = all_230_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (713) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (749) all_360_1 = all_354_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (749) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (750) all_360_1 = all_354_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (725) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (751) all_336_1 = all_284_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (751) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (752) all_336_1 = all_284_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (726) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (753) all_284_0 = all_278_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (750) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (754) all_354_0 = all_324_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | SIMP: (754) implies:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (755) all_354_0 = all_324_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (755) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (756) all_324_1 = all_284_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (755) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (757) all_324_1 = all_230_1
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (742), (743) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (758) all_342_1 = all_324_0
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (744) imply:
% 84.70/12.32 | | | | | | | | | | | | | | | | | | | | (759) all_342_1 = all_300_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (743) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (760) all_342_1 = all_278_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (711) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (761) all_312_1 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (761) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (762) all_312_1 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (708), (711) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (763) all_336_0 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (763) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (764) all_336_0 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (710), (711) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (765) all_300_1 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (765) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (766) all_300_1 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (706), (707) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (767) all_330_0 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (767) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (768) all_330_0 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (760) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (769) all_300_0 = all_278_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (759) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (770) all_324_0 = all_300_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (771) all_324_0 = all_300_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (764) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (772) all_236_0 = all_71_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (772) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (773) all_236_0 = all_71_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (752) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (774) all_284_0 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (774) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (775) all_284_0 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (768) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (776) all_300_1 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (776) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (777) all_300_1 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (722) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (778) all_312_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (778) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (779) all_312_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (771) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (780) all_300_0 = all_236_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (780) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (781) all_300_0 = all_236_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (757) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (782) all_284_1 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (782) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (783) all_284_1 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (720) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (784) all_278_1 = all_230_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (785) all_278_1 = all_230_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (779) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (786) all_230_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (703), (762) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (787) all_236_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (787) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (788) all_236_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (781) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (789) all_278_1 = all_236_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (789) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (790) all_278_1 = all_236_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (702), (777) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (791) all_278_0 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (791) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (792) all_278_0 = all_272_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (766), (777) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (793) all_272_0 = all_236_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (775) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (794) all_278_1 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (794) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (795) all_278_1 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (783) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (796) all_278_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (796) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (797) all_278_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (792), (797) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (798) all_272_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (798) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (799) all_272_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (790) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (800) all_236_1 = all_230_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (795) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (801) all_236_1 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (793), (799) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (802) all_236_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (802) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (803) all_236_0 = all_230_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (803) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (804) all_230_1 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (803) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (805) all_230_1 = all_71_1
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (800), (801) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (806) all_230_0 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (806) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (807) all_230_0 = all_164_0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (786), (807) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (808) all_164_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | SIMP: (808) implies:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (809) all_164_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (805) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (810) all_71_1 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (809) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (811) all_336_1 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (810) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | (812) all_336_0 = 0
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | (813) ~ (all_336_0 = 0)
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (813) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | (814) $false
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | CLOSE: (814) is inconsistent.
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | (815) ~ (all_336_1 = 0)
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (815) imply:
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | (816) $false
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | | CLOSE: (816) is inconsistent.
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | | |
% 84.70/12.33 | | | | | | | | | End of split
% 84.70/12.33 | | | | | | | | |
% 84.70/12.33 | | | | | | | | End of split
% 84.70/12.33 | | | | | | | |
% 84.70/12.33 | | | | | | | End of split
% 84.70/12.33 | | | | | | |
% 84.70/12.33 | | | | | | End of split
% 84.70/12.33 | | | | | |
% 84.70/12.33 | | | | | End of split
% 84.70/12.33 | | | | |
% 84.70/12.33 | | | | End of split
% 84.70/12.33 | | | |
% 84.70/12.33 | | | End of split
% 84.70/12.33 | | |
% 84.70/12.33 | | End of split
% 84.70/12.33 | |
% 84.70/12.33 | End of split
% 84.70/12.33 |
% 84.70/12.33 End of proof
% 84.70/12.33
% 84.70/12.33 Sub-proof #7 shows that the following formulas are inconsistent:
% 84.70/12.33 ----------------------------------------------------------------
% 84.70/12.33 (1) ~ (all_96_3 = all_48_0)
% 84.70/12.33 (2) all_56_0 = all_48_2 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.33 all_96_3, all_56_0) = v0 & apply(all_32_4, all_96_3, all_48_2) = v1 &
% 84.70/12.33 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.33 (3) apply(all_32_5, all_48_2, all_48_0) = all_148_0
% 84.70/12.33 (4) all_96_3 = all_92_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.70/12.33 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_92_0) = v0 &
% 84.70/12.33 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.33 (5) apply(all_32_5, all_48_2, all_96_3) = 0
% 84.70/12.33 (6) all_96_3 = all_94_3 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 84.70/12.33 all_48_2, all_96_3) = v1 & apply(all_32_5, all_48_2, all_94_3) = v0 &
% 84.70/12.33 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.33 (7) ~ (all_48_1 = all_48_2)
% 84.70/12.33 (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 84.70/12.33 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 84.70/12.33 (apply(v4, v3, v2) = v0))
% 84.70/12.33 (9) all_92_0 = all_48_0
% 84.70/12.33 (10) all_94_3 = all_48_0
% 84.70/12.33 (11) apply(all_32_5, all_48_2, all_48_0) = 0
% 84.70/12.33 (12) all_56_0 = all_48_1
% 84.70/12.33
% 84.70/12.33 Begin of proof
% 84.70/12.33 |
% 84.70/12.33 | BETA: splitting (6) gives:
% 84.70/12.33 |
% 84.70/12.33 | Case 1:
% 84.70/12.33 | |
% 84.70/12.33 | | (13) all_96_3 = all_94_3
% 84.70/12.33 | |
% 84.70/12.33 | | COMBINE_EQS: (10), (13) imply:
% 84.70/12.33 | | (14) all_96_3 = all_48_0
% 84.70/12.33 | |
% 84.70/12.33 | | REDUCE: (1), (14) imply:
% 84.70/12.33 | | (15) $false
% 84.70/12.33 | |
% 84.70/12.33 | | CLOSE: (15) is inconsistent.
% 84.70/12.33 | |
% 84.70/12.33 | Case 2:
% 84.70/12.33 | |
% 84.70/12.33 | | (16) ~ (all_96_3 = all_94_3)
% 84.70/12.33 | | (17) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2, all_96_3) =
% 84.70/12.33 | | v1 & apply(all_32_5, all_48_2, all_94_3) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.33 | | (v0 = 0)))
% 84.70/12.33 | |
% 84.70/12.33 | | DELTA: instantiating (17) with fresh symbols all_358_0, all_358_1 gives:
% 84.70/12.33 | | (18) apply(all_32_5, all_48_2, all_96_3) = all_358_0 & apply(all_32_5,
% 84.70/12.33 | | all_48_2, all_94_3) = all_358_1 & ( ~ (all_358_0 = 0) | ~
% 84.70/12.33 | | (all_358_1 = 0))
% 84.70/12.33 | |
% 84.70/12.33 | | ALPHA: (18) implies:
% 84.70/12.33 | | (19) apply(all_32_5, all_48_2, all_94_3) = all_358_1
% 84.70/12.33 | |
% 84.70/12.33 | | REDUCE: (10), (19) imply:
% 84.70/12.33 | | (20) apply(all_32_5, all_48_2, all_48_0) = all_358_1
% 84.70/12.33 | |
% 84.70/12.33 | | BETA: splitting (4) gives:
% 84.70/12.33 | |
% 84.70/12.33 | | Case 1:
% 84.70/12.33 | | |
% 84.70/12.33 | | | (21) all_96_3 = all_92_0
% 84.70/12.33 | | |
% 84.70/12.33 | | | COMBINE_EQS: (9), (21) imply:
% 84.70/12.33 | | | (22) all_96_3 = all_48_0
% 84.70/12.33 | | |
% 84.70/12.33 | | | REDUCE: (1), (22) imply:
% 84.70/12.33 | | | (23) $false
% 84.70/12.33 | | |
% 84.70/12.33 | | | CLOSE: (23) is inconsistent.
% 84.70/12.33 | | |
% 84.70/12.33 | | Case 2:
% 84.70/12.33 | | |
% 84.70/12.33 | | | (24) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_48_2, all_96_3)
% 84.70/12.33 | | | = v1 & apply(all_32_5, all_48_2, all_92_0) = v0 & ( ~ (v1 = 0) |
% 84.70/12.33 | | | ~ (v0 = 0)))
% 84.70/12.33 | | |
% 84.70/12.33 | | | DELTA: instantiating (24) with fresh symbols all_376_0, all_376_1 gives:
% 84.70/12.33 | | | (25) apply(all_32_5, all_48_2, all_96_3) = all_376_0 & apply(all_32_5,
% 84.70/12.33 | | | all_48_2, all_92_0) = all_376_1 & ( ~ (all_376_0 = 0) | ~
% 84.70/12.33 | | | (all_376_1 = 0))
% 84.70/12.33 | | |
% 84.70/12.33 | | | ALPHA: (25) implies:
% 84.70/12.33 | | | (26) apply(all_32_5, all_48_2, all_92_0) = all_376_1
% 84.70/12.33 | | | (27) apply(all_32_5, all_48_2, all_96_3) = all_376_0
% 84.70/12.33 | | | (28) ~ (all_376_0 = 0) | ~ (all_376_1 = 0)
% 84.70/12.33 | | |
% 84.70/12.33 | | | REDUCE: (9), (26) imply:
% 84.70/12.33 | | | (29) apply(all_32_5, all_48_2, all_48_0) = all_376_1
% 84.70/12.33 | | |
% 84.70/12.33 | | | BETA: splitting (2) gives:
% 84.70/12.33 | | |
% 84.70/12.33 | | | Case 1:
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | (30) all_56_0 = all_48_2
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | COMBINE_EQS: (12), (30) imply:
% 84.70/12.33 | | | | (31) all_48_1 = all_48_2
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | REDUCE: (7), (31) imply:
% 84.70/12.33 | | | | (32) $false
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | CLOSE: (32) is inconsistent.
% 84.70/12.33 | | | |
% 84.70/12.33 | | | Case 2:
% 84.70/12.33 | | | |
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | GROUND_INST: instantiating (8) with 0, all_358_1, all_48_0, all_48_2,
% 84.70/12.33 | | | | all_32_5, simplifying with (11), (20) gives:
% 84.70/12.33 | | | | (33) all_358_1 = 0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | GROUND_INST: instantiating (8) with all_358_1, all_376_1, all_48_0,
% 84.70/12.33 | | | | all_48_2, all_32_5, simplifying with (20), (29) gives:
% 84.70/12.33 | | | | (34) all_376_1 = all_358_1
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | GROUND_INST: instantiating (8) with all_148_0, all_376_1, all_48_0,
% 84.70/12.33 | | | | all_48_2, all_32_5, simplifying with (3), (29) gives:
% 84.70/12.33 | | | | (35) all_376_1 = all_148_0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | GROUND_INST: instantiating (8) with 0, all_376_0, all_96_3, all_48_2,
% 84.70/12.33 | | | | all_32_5, simplifying with (5), (27) gives:
% 84.70/12.33 | | | | (36) all_376_0 = 0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | COMBINE_EQS: (34), (35) imply:
% 84.70/12.33 | | | | (37) all_358_1 = all_148_0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | SIMP: (37) implies:
% 84.70/12.33 | | | | (38) all_358_1 = all_148_0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | COMBINE_EQS: (33), (38) imply:
% 84.70/12.33 | | | | (39) all_148_0 = 0
% 84.70/12.33 | | | |
% 84.70/12.33 | | | | SIMP: (39) implies:
% 84.70/12.33 | | | | (40) all_148_0 = 0
% 84.70/12.33 | | | |
% 84.70/12.34 | | | | COMBINE_EQS: (35), (40) imply:
% 84.70/12.34 | | | | (41) all_376_1 = 0
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | BETA: splitting (28) gives:
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | Case 1:
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | (42) ~ (all_376_0 = 0)
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | REDUCE: (36), (42) imply:
% 84.70/12.34 | | | | | (43) $false
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | CLOSE: (43) is inconsistent.
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | Case 2:
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | (44) ~ (all_376_1 = 0)
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | REDUCE: (41), (44) imply:
% 84.70/12.34 | | | | | (45) $false
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | | CLOSE: (45) is inconsistent.
% 84.70/12.34 | | | | |
% 84.70/12.34 | | | | End of split
% 84.70/12.34 | | | |
% 84.70/12.34 | | | End of split
% 84.70/12.34 | | |
% 84.70/12.34 | | End of split
% 84.70/12.34 | |
% 84.70/12.34 | End of split
% 84.70/12.34 |
% 84.70/12.34 End of proof
% 84.70/12.34
% 84.70/12.34 Sub-proof #8 shows that the following formulas are inconsistent:
% 84.70/12.34 ----------------------------------------------------------------
% 84.70/12.34 (1) apply(all_32_4, all_48_0, all_48_1) = all_71_1
% 84.70/12.34 (2) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_56_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1 &
% 84.70/12.34 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (3) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_48_0, all_56_0) = v0 & apply(all_32_4, all_48_0, all_48_1) = v1 &
% 84.70/12.34 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (4) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.70/12.34 (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_90_0, all_32_3) =
% 84.70/12.34 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 84.70/12.34 (v0 = 0)))
% 84.70/12.34 (5) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_60_0, all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_1) = v0 &
% 84.70/12.34 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (6) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_58_0, all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_1) = v1 &
% 84.70/12.34 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (7) all_96_3 = all_48_0
% 84.70/12.34 (8) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_56_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0 &
% 84.70/12.34 ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (9) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.70/12.34 (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_56_0, all_32_3) =
% 84.70/12.34 v1 & member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 84.70/12.34 (v0 = 0)))
% 84.70/12.34 (10) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_58_0, all_56_0) = v1 & apply(all_32_4, all_58_0, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (11) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_90_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (12) apply(all_32_4, all_48_0, all_48_2) = 0
% 84.70/12.34 (13) all_60_0 = all_48_0
% 84.70/12.34 (14) all_48_1 = all_48_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.70/12.34 (apply(all_32_4, all_96_3, all_48_1) = v2 & member(all_96_3, all_32_2) =
% 84.70/12.34 v0 & member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 84.70/12.34 (v0 = 0)))
% 84.70/12.34 (15) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_48_0, all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_1) = v1
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (16) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_48_0, all_90_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (17) all_90_0 = all_48_2
% 84.70/12.34 (18) ~ (all_48_1 = all_48_2)
% 84.70/12.34 (19) all_88_0 = all_48_2
% 84.70/12.34 (20) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_48_0, all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (21) apply(all_32_4, all_48_0, all_48_2) = all_71_0
% 84.70/12.34 (22) apply(all_32_4, all_48_0, all_48_1) = 0
% 84.70/12.34 (23) all_56_0 = all_48_2
% 84.70/12.34 (24) all_58_0 = all_48_0
% 84.70/12.34 (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 84.70/12.34 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 84.70/12.34 (apply(v4, v3, v2) = v0))
% 84.70/12.34 (26) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_48_0, all_88_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (27) all_94_3 = all_48_0
% 84.70/12.34 (28) all_56_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_60_0, all_56_0) = v0 & apply(all_32_4, all_60_0, all_48_1) = v1
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (29) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_88_0) = v1 & apply(all_32_4, all_94_3, all_48_1) = v0
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (30) all_90_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_90_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (31) all_88_0 = all_48_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.34 all_94_3, all_88_0) = v0 & apply(all_32_4, all_94_3, all_48_1) = v1
% 84.70/12.34 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 (32) ~ (all_71_0 = 0) | ~ (all_71_1 = 0)
% 84.70/12.34
% 84.70/12.34 Begin of proof
% 84.70/12.34 |
% 84.70/12.34 | BETA: splitting (3) gives:
% 84.70/12.34 |
% 84.70/12.34 | Case 1:
% 84.70/12.34 | |
% 84.70/12.34 | | (33) all_56_0 = all_48_1
% 84.70/12.34 | |
% 84.70/12.34 | | COMBINE_EQS: (23), (33) imply:
% 84.70/12.34 | | (34) all_48_1 = all_48_2
% 84.70/12.34 | |
% 84.70/12.34 | | SIMP: (34) implies:
% 84.70/12.34 | | (35) all_48_1 = all_48_2
% 84.70/12.34 | |
% 84.70/12.34 | | REDUCE: (18), (35) imply:
% 84.70/12.34 | | (36) $false
% 84.70/12.34 | |
% 84.70/12.34 | | CLOSE: (36) is inconsistent.
% 84.70/12.34 | |
% 84.70/12.34 | Case 2:
% 84.70/12.34 | |
% 84.70/12.34 | | (37) ~ (all_56_0 = all_48_1)
% 84.70/12.34 | | (38) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0, all_56_0) =
% 84.70/12.34 | | v0 & apply(all_32_4, all_48_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.34 | | (v0 = 0)))
% 84.70/12.34 | |
% 84.70/12.34 | | DELTA: instantiating (38) with fresh symbols all_166_0, all_166_1 gives:
% 84.70/12.34 | | (39) apply(all_32_4, all_48_0, all_56_0) = all_166_1 & apply(all_32_4,
% 84.70/12.34 | | all_48_0, all_48_1) = all_166_0 & ( ~ (all_166_0 = 0) | ~
% 84.70/12.34 | | (all_166_1 = 0))
% 84.70/12.34 | |
% 84.70/12.34 | | ALPHA: (39) implies:
% 84.70/12.34 | | (40) apply(all_32_4, all_48_0, all_48_1) = all_166_0
% 84.70/12.34 | | (41) apply(all_32_4, all_48_0, all_56_0) = all_166_1
% 84.70/12.34 | |
% 84.70/12.34 | | REDUCE: (23), (37) imply:
% 84.70/12.34 | | (42) ~ (all_48_1 = all_48_2)
% 84.70/12.34 | |
% 84.70/12.34 | | REDUCE: (23), (41) imply:
% 84.70/12.34 | | (43) apply(all_32_4, all_48_0, all_48_2) = all_166_1
% 84.70/12.34 | |
% 84.70/12.34 | | BETA: splitting (14) gives:
% 84.70/12.34 | |
% 84.70/12.34 | | Case 1:
% 84.70/12.34 | | |
% 84.70/12.34 | | | (44) all_48_1 = all_48_2
% 84.70/12.34 | | |
% 84.70/12.34 | | | REDUCE: (18), (44) imply:
% 84.70/12.34 | | | (45) $false
% 84.70/12.34 | | |
% 84.70/12.34 | | | CLOSE: (45) is inconsistent.
% 84.70/12.34 | | |
% 84.70/12.34 | | Case 2:
% 84.70/12.34 | | |
% 84.70/12.34 | | | (46) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_4,
% 84.70/12.34 | | | all_96_3, all_48_1) = v2 & member(all_96_3, all_32_2) = v0 &
% 84.70/12.34 | | | member(all_48_2, all_32_3) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 84.70/12.34 | | | ~ (v0 = 0)))
% 84.70/12.34 | | |
% 84.70/12.34 | | | DELTA: instantiating (46) with fresh symbols all_172_0, all_172_1,
% 84.70/12.34 | | | all_172_2 gives:
% 84.70/12.34 | | | (47) apply(all_32_4, all_96_3, all_48_1) = all_172_0 & member(all_96_3,
% 84.70/12.34 | | | all_32_2) = all_172_2 & member(all_48_2, all_32_3) = all_172_1 &
% 84.70/12.34 | | | ( ~ (all_172_0 = 0) | ~ (all_172_1 = 0) | ~ (all_172_2 = 0))
% 84.70/12.34 | | |
% 84.70/12.34 | | | ALPHA: (47) implies:
% 84.70/12.34 | | | (48) apply(all_32_4, all_96_3, all_48_1) = all_172_0
% 84.70/12.34 | | |
% 84.70/12.34 | | | REDUCE: (7), (48) imply:
% 84.70/12.34 | | | (49) apply(all_32_4, all_48_0, all_48_1) = all_172_0
% 84.70/12.34 | | |
% 84.70/12.34 | | | BETA: splitting (20) gives:
% 84.70/12.34 | | |
% 84.70/12.34 | | | Case 1:
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | (50) all_56_0 = all_48_1
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | COMBINE_EQS: (23), (50) imply:
% 84.70/12.34 | | | | (51) all_48_1 = all_48_2
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | SIMP: (51) implies:
% 84.70/12.34 | | | | (52) all_48_1 = all_48_2
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | REDUCE: (18), (52) imply:
% 84.70/12.34 | | | | (53) $false
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | CLOSE: (53) is inconsistent.
% 84.70/12.34 | | | |
% 84.70/12.34 | | | Case 2:
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | (54) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 84.70/12.34 | | | | all_56_0) = v1 & apply(all_32_4, all_48_0, all_48_1) = v0 &
% 84.70/12.34 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | DELTA: instantiating (54) with fresh symbols all_178_0, all_178_1 gives:
% 84.70/12.34 | | | | (55) apply(all_32_4, all_48_0, all_56_0) = all_178_0 &
% 84.70/12.34 | | | | apply(all_32_4, all_48_0, all_48_1) = all_178_1 & ( ~ (all_178_0
% 84.70/12.34 | | | | = 0) | ~ (all_178_1 = 0))
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | ALPHA: (55) implies:
% 84.70/12.34 | | | | (56) apply(all_32_4, all_48_0, all_48_1) = all_178_1
% 84.70/12.34 | | | | (57) apply(all_32_4, all_48_0, all_56_0) = all_178_0
% 84.70/12.34 | | | |
% 84.70/12.34 | | | | REDUCE: (23), (57) imply:
% 84.70/12.35 | | | | (58) apply(all_32_4, all_48_0, all_48_2) = all_178_0
% 84.70/12.35 | | | |
% 84.70/12.35 | | | | BETA: splitting (6) gives:
% 84.70/12.35 | | | |
% 84.70/12.35 | | | | Case 1:
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | (59) all_56_0 = all_48_1
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | COMBINE_EQS: (23), (59) imply:
% 84.70/12.35 | | | | | (60) all_48_1 = all_48_2
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | SIMP: (60) implies:
% 84.70/12.35 | | | | | (61) all_48_1 = all_48_2
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | REDUCE: (18), (61) imply:
% 84.70/12.35 | | | | | (62) $false
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | CLOSE: (62) is inconsistent.
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | Case 2:
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | (63) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_58_0,
% 84.70/12.35 | | | | | all_56_0) = v0 & apply(all_32_4, all_58_0, all_48_1) = v1
% 84.70/12.35 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | DELTA: instantiating (63) with fresh symbols all_184_0, all_184_1
% 84.70/12.35 | | | | | gives:
% 84.70/12.35 | | | | | (64) apply(all_32_4, all_58_0, all_56_0) = all_184_1 &
% 84.70/12.35 | | | | | apply(all_32_4, all_58_0, all_48_1) = all_184_0 & ( ~
% 84.70/12.35 | | | | | (all_184_0 = 0) | ~ (all_184_1 = 0))
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | ALPHA: (64) implies:
% 84.70/12.35 | | | | | (65) apply(all_32_4, all_58_0, all_48_1) = all_184_0
% 84.70/12.35 | | | | | (66) apply(all_32_4, all_58_0, all_56_0) = all_184_1
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | REDUCE: (23), (24), (66) imply:
% 84.70/12.35 | | | | | (67) apply(all_32_4, all_48_0, all_48_2) = all_184_1
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | REDUCE: (24), (65) imply:
% 84.70/12.35 | | | | | (68) apply(all_32_4, all_48_0, all_48_1) = all_184_0
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | BETA: splitting (9) gives:
% 84.70/12.35 | | | | |
% 84.70/12.35 | | | | | Case 1:
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | (69) all_56_0 = all_48_1
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | COMBINE_EQS: (23), (69) imply:
% 84.70/12.35 | | | | | | (70) all_48_1 = all_48_2
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | SIMP: (70) implies:
% 84.70/12.35 | | | | | | (71) all_48_1 = all_48_2
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | REDUCE: (18), (71) imply:
% 84.70/12.35 | | | | | | (72) $false
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | CLOSE: (72) is inconsistent.
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | Case 2:
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | (73) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.70/12.35 | | | | | | (apply(all_32_4, all_48_0, all_48_1) = v2 & member(all_56_0,
% 84.70/12.35 | | | | | | all_32_3) = v1 & member(all_48_0, all_32_2) = v0 & ( ~
% 84.70/12.35 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | DELTA: instantiating (73) with fresh symbols all_190_0, all_190_1,
% 84.70/12.35 | | | | | | all_190_2 gives:
% 84.70/12.35 | | | | | | (74) apply(all_32_4, all_48_0, all_48_1) = all_190_0 &
% 84.70/12.35 | | | | | | member(all_56_0, all_32_3) = all_190_1 & member(all_48_0,
% 84.70/12.35 | | | | | | all_32_2) = all_190_2 & ( ~ (all_190_0 = 0) | ~
% 84.70/12.35 | | | | | | (all_190_1 = 0) | ~ (all_190_2 = 0))
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | ALPHA: (74) implies:
% 84.70/12.35 | | | | | | (75) apply(all_32_4, all_48_0, all_48_1) = all_190_0
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | BETA: splitting (15) gives:
% 84.70/12.35 | | | | | |
% 84.70/12.35 | | | | | | Case 1:
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | (76) all_90_0 = all_48_1
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | COMBINE_EQS: (17), (76) imply:
% 84.70/12.35 | | | | | | | (77) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | REDUCE: (18), (77) imply:
% 84.70/12.35 | | | | | | | (78) $false
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | CLOSE: (78) is inconsistent.
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | Case 2:
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | (79) ~ (all_90_0 = all_48_1)
% 84.70/12.35 | | | | | | | (80) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_48_0,
% 84.70/12.35 | | | | | | | all_90_0) = v0 & apply(all_32_4, all_48_0, all_48_1) =
% 84.70/12.35 | | | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | DELTA: instantiating (80) with fresh symbols all_196_0, all_196_1
% 84.70/12.35 | | | | | | | gives:
% 84.70/12.35 | | | | | | | (81) apply(all_32_4, all_48_0, all_90_0) = all_196_1 &
% 84.70/12.35 | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_196_0 & ( ~
% 84.70/12.35 | | | | | | | (all_196_0 = 0) | ~ (all_196_1 = 0))
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | ALPHA: (81) implies:
% 84.70/12.35 | | | | | | | (82) apply(all_32_4, all_48_0, all_48_1) = all_196_0
% 84.70/12.35 | | | | | | | (83) apply(all_32_4, all_48_0, all_90_0) = all_196_1
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | REDUCE: (17), (83) imply:
% 84.70/12.35 | | | | | | | (84) apply(all_32_4, all_48_0, all_48_2) = all_196_1
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | BETA: splitting (5) gives:
% 84.70/12.35 | | | | | | |
% 84.70/12.35 | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | (85) all_56_0 = all_48_1
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | COMBINE_EQS: (23), (85) imply:
% 84.70/12.35 | | | | | | | | (86) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | SIMP: (86) implies:
% 84.70/12.35 | | | | | | | | (87) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | REDUCE: (18), (87) imply:
% 84.70/12.35 | | | | | | | | (88) $false
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | CLOSE: (88) is inconsistent.
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | (89) ? [v0: any] : ? [v1: any] : (apply(all_32_4, all_60_0,
% 84.70/12.35 | | | | | | | | all_56_0) = v1 & apply(all_32_4, all_60_0, all_48_1)
% 84.70/12.35 | | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | DELTA: instantiating (89) with fresh symbols all_202_0,
% 84.70/12.35 | | | | | | | | all_202_1 gives:
% 84.70/12.35 | | | | | | | | (90) apply(all_32_4, all_60_0, all_56_0) = all_202_0 &
% 84.70/12.35 | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_202_1 & ( ~
% 84.70/12.35 | | | | | | | | (all_202_0 = 0) | ~ (all_202_1 = 0))
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | ALPHA: (90) implies:
% 84.70/12.35 | | | | | | | | (91) apply(all_32_4, all_60_0, all_48_1) = all_202_1
% 84.70/12.35 | | | | | | | | (92) apply(all_32_4, all_60_0, all_56_0) = all_202_0
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | REDUCE: (13), (23), (92) imply:
% 84.70/12.35 | | | | | | | | (93) apply(all_32_4, all_48_0, all_48_2) = all_202_0
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | REDUCE: (13), (91) imply:
% 84.70/12.35 | | | | | | | | (94) apply(all_32_4, all_48_0, all_48_1) = all_202_1
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | BETA: splitting (10) gives:
% 84.70/12.35 | | | | | | | |
% 84.70/12.35 | | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | (95) all_56_0 = all_48_1
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | COMBINE_EQS: (23), (95) imply:
% 84.70/12.35 | | | | | | | | | (96) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | SIMP: (96) implies:
% 84.70/12.35 | | | | | | | | | (97) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | REDUCE: (18), (97) imply:
% 84.70/12.35 | | | | | | | | | (98) $false
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | CLOSE: (98) is inconsistent.
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | (99) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.35 | | | | | | | | | all_58_0, all_56_0) = v1 & apply(all_32_4,
% 84.70/12.35 | | | | | | | | | all_58_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 84.70/12.35 | | | | | | | | | 0)))
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | DELTA: instantiating (99) with fresh symbols all_220_0,
% 84.70/12.35 | | | | | | | | | all_220_1 gives:
% 84.70/12.35 | | | | | | | | | (100) apply(all_32_4, all_58_0, all_56_0) = all_220_0 &
% 84.70/12.35 | | | | | | | | | apply(all_32_4, all_58_0, all_48_1) = all_220_1 & ( ~
% 84.70/12.35 | | | | | | | | | (all_220_0 = 0) | ~ (all_220_1 = 0))
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | ALPHA: (100) implies:
% 84.70/12.35 | | | | | | | | | (101) apply(all_32_4, all_58_0, all_48_1) = all_220_1
% 84.70/12.35 | | | | | | | | | (102) apply(all_32_4, all_58_0, all_56_0) = all_220_0
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | REDUCE: (23), (24), (102) imply:
% 84.70/12.35 | | | | | | | | | (103) apply(all_32_4, all_48_0, all_48_2) = all_220_0
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | REDUCE: (24), (101) imply:
% 84.70/12.35 | | | | | | | | | (104) apply(all_32_4, all_48_0, all_48_1) = all_220_1
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | BETA: splitting (28) gives:
% 84.70/12.35 | | | | | | | | |
% 84.70/12.35 | | | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | (105) all_56_0 = all_48_1
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | COMBINE_EQS: (23), (105) imply:
% 84.70/12.35 | | | | | | | | | | (106) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | SIMP: (106) implies:
% 84.70/12.35 | | | | | | | | | | (107) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | REDUCE: (18), (107) imply:
% 84.70/12.35 | | | | | | | | | | (108) $false
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | CLOSE: (108) is inconsistent.
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | (109) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | all_60_0, all_56_0) = v0 & apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | all_60_0, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.35 | | | | | | | | | | (v0 = 0)))
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | DELTA: instantiating (109) with fresh symbols all_232_0,
% 84.70/12.35 | | | | | | | | | | all_232_1 gives:
% 84.70/12.35 | | | | | | | | | | (110) apply(all_32_4, all_60_0, all_56_0) = all_232_1 &
% 84.70/12.35 | | | | | | | | | | apply(all_32_4, all_60_0, all_48_1) = all_232_0 & (
% 84.70/12.35 | | | | | | | | | | ~ (all_232_0 = 0) | ~ (all_232_1 = 0))
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | ALPHA: (110) implies:
% 84.70/12.35 | | | | | | | | | | (111) apply(all_32_4, all_60_0, all_48_1) = all_232_0
% 84.70/12.35 | | | | | | | | | | (112) apply(all_32_4, all_60_0, all_56_0) = all_232_1
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | REDUCE: (13), (23), (112) imply:
% 84.70/12.35 | | | | | | | | | | (113) apply(all_32_4, all_48_0, all_48_2) = all_232_1
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | REDUCE: (13), (111) imply:
% 84.70/12.35 | | | | | | | | | | (114) apply(all_32_4, all_48_0, all_48_1) = all_232_0
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | BETA: splitting (29) gives:
% 84.70/12.35 | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | (115) all_88_0 = all_48_1
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | COMBINE_EQS: (19), (115) imply:
% 84.70/12.35 | | | | | | | | | | | (116) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | SIMP: (116) implies:
% 84.70/12.35 | | | | | | | | | | | (117) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | REDUCE: (18), (117) imply:
% 84.70/12.35 | | | | | | | | | | | (118) $false
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | (119) ~ (all_88_0 = all_48_1)
% 84.70/12.35 | | | | | | | | | | | (120) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | | all_94_3, all_88_0) = v1 & apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.35 | | | | | | | | | | | (v0 = 0)))
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | DELTA: instantiating (120) with fresh symbols all_256_0,
% 84.70/12.35 | | | | | | | | | | | all_256_1 gives:
% 84.70/12.35 | | | | | | | | | | | (121) apply(all_32_4, all_94_3, all_88_0) = all_256_0 &
% 84.70/12.35 | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_256_1 &
% 84.70/12.35 | | | | | | | | | | | ( ~ (all_256_0 = 0) | ~ (all_256_1 = 0))
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | ALPHA: (121) implies:
% 84.70/12.35 | | | | | | | | | | | (122) apply(all_32_4, all_94_3, all_48_1) = all_256_1
% 84.70/12.35 | | | | | | | | | | | (123) apply(all_32_4, all_94_3, all_88_0) = all_256_0
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | REDUCE: (19), (27), (123) imply:
% 84.70/12.35 | | | | | | | | | | | (124) apply(all_32_4, all_48_0, all_48_2) = all_256_0
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | REDUCE: (27), (122) imply:
% 84.70/12.35 | | | | | | | | | | | (125) apply(all_32_4, all_48_0, all_48_1) = all_256_1
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | BETA: splitting (11) gives:
% 84.70/12.35 | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | (126) all_90_0 = all_48_1
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | COMBINE_EQS: (17), (126) imply:
% 84.70/12.35 | | | | | | | | | | | | (127) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | REDUCE: (18), (127) imply:
% 84.70/12.35 | | | | | | | | | | | | (128) $false
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | (129) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | | | all_94_3, all_90_0) = v1 & apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.35 | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | DELTA: instantiating (129) with fresh symbols all_262_0,
% 84.70/12.35 | | | | | | | | | | | | all_262_1 gives:
% 84.70/12.35 | | | | | | | | | | | | (130) apply(all_32_4, all_94_3, all_90_0) = all_262_0 &
% 84.70/12.35 | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_262_1 &
% 84.70/12.35 | | | | | | | | | | | | ( ~ (all_262_0 = 0) | ~ (all_262_1 = 0))
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | ALPHA: (130) implies:
% 84.70/12.35 | | | | | | | | | | | | (131) apply(all_32_4, all_94_3, all_48_1) = all_262_1
% 84.70/12.35 | | | | | | | | | | | | (132) apply(all_32_4, all_94_3, all_90_0) = all_262_0
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | REDUCE: (17), (27), (132) imply:
% 84.70/12.35 | | | | | | | | | | | | (133) apply(all_32_4, all_48_0, all_48_2) = all_262_0
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | REDUCE: (27), (131) imply:
% 84.70/12.35 | | | | | | | | | | | | (134) apply(all_32_4, all_48_0, all_48_1) = all_262_1
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | BETA: splitting (16) gives:
% 84.70/12.35 | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | Case 1:
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | | (135) all_90_0 = all_48_1
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | | COMBINE_EQS: (17), (135) imply:
% 84.70/12.35 | | | | | | | | | | | | | (136) all_48_1 = all_48_2
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | | REDUCE: (18), (136) imply:
% 84.70/12.35 | | | | | | | | | | | | | (137) $false
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | Case 2:
% 84.70/12.35 | | | | | | | | | | | | |
% 84.70/12.35 | | | | | | | | | | | | | (138) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.35 | | | | | | | | | | | | | all_48_0, all_90_0) = v1 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | DELTA: instantiating (138) with fresh symbols all_274_0,
% 84.70/12.36 | | | | | | | | | | | | | all_274_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | (139) apply(all_32_4, all_48_0, all_90_0) = all_274_0 &
% 84.70/12.36 | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_274_1 &
% 84.70/12.36 | | | | | | | | | | | | | ( ~ (all_274_0 = 0) | ~ (all_274_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | ALPHA: (139) implies:
% 84.70/12.36 | | | | | | | | | | | | | (140) apply(all_32_4, all_48_0, all_48_1) = all_274_1
% 84.70/12.36 | | | | | | | | | | | | | (141) apply(all_32_4, all_48_0, all_90_0) = all_274_0
% 84.70/12.36 | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | REDUCE: (17), (141) imply:
% 84.70/12.36 | | | | | | | | | | | | | (142) apply(all_32_4, all_48_0, all_48_2) = all_274_0
% 84.70/12.36 | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | BETA: splitting (4) gives:
% 84.70/12.36 | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | (143) all_90_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | COMBINE_EQS: (17), (143) imply:
% 84.70/12.36 | | | | | | | | | | | | | | (144) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | REDUCE: (18), (144) imply:
% 84.70/12.36 | | | | | | | | | | | | | | (145) $false
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | CLOSE: (145) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | (146) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 84.70/12.36 | | | | | | | | | | | | | | (apply(all_32_4, all_48_0, all_48_1) = v2 &
% 84.70/12.36 | | | | | | | | | | | | | | member(all_90_0, all_32_3) = v1 &
% 84.70/12.36 | | | | | | | | | | | | | | member(all_48_0, all_32_2) = v0 & ( ~ (v2 = 0) |
% 84.70/12.36 | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | DELTA: instantiating (146) with fresh symbols all_298_0,
% 84.70/12.36 | | | | | | | | | | | | | | all_298_1, all_298_2 gives:
% 84.70/12.36 | | | | | | | | | | | | | | (147) apply(all_32_4, all_48_0, all_48_1) = all_298_0 &
% 84.70/12.36 | | | | | | | | | | | | | | member(all_90_0, all_32_3) = all_298_1 &
% 84.70/12.36 | | | | | | | | | | | | | | member(all_48_0, all_32_2) = all_298_2 & ( ~
% 84.70/12.36 | | | | | | | | | | | | | | (all_298_0 = 0) | ~ (all_298_1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | (all_298_2 = 0))
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | ALPHA: (147) implies:
% 84.70/12.36 | | | | | | | | | | | | | | (148) apply(all_32_4, all_48_0, all_48_1) = all_298_0
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 84.70/12.36 | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | (149) all_88_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | COMBINE_EQS: (19), (149) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | (150) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | SIMP: (150) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | (151) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | REDUCE: (18), (151) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | (152) $false
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | (153) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | all_48_0, all_88_0) = v1 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | all_48_0, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | DELTA: instantiating (153) with fresh symbols all_339_0,
% 84.70/12.36 | | | | | | | | | | | | | | | all_339_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | | | (154) apply(all_32_4, all_48_0, all_88_0) = all_339_0 &
% 84.70/12.36 | | | | | | | | | | | | | | | apply(all_32_4, all_48_0, all_48_1) = all_339_1 &
% 84.70/12.36 | | | | | | | | | | | | | | | ( ~ (all_339_0 = 0) | ~ (all_339_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | (155) apply(all_32_4, all_48_0, all_48_1) = all_339_1
% 84.70/12.36 | | | | | | | | | | | | | | | (156) apply(all_32_4, all_48_0, all_88_0) = all_339_0
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | REDUCE: (19), (156) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | (157) apply(all_32_4, all_48_0, all_48_2) = all_339_0
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 84.70/12.36 | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | (158) all_88_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (158) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | (159) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | SIMP: (159) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | (160) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | REDUCE: (18), (160) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | (161) $false
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | (162) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | all_94_3, all_88_0) = v0 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | DELTA: instantiating (162) with fresh symbols all_357_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | all_357_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | (163) apply(all_32_4, all_94_3, all_88_0) = all_357_1 &
% 84.70/12.36 | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_357_0 &
% 84.70/12.36 | | | | | | | | | | | | | | | | ( ~ (all_357_0 = 0) | ~ (all_357_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | (164) apply(all_32_4, all_94_3, all_48_1) = all_357_0
% 84.70/12.36 | | | | | | | | | | | | | | | | (165) apply(all_32_4, all_94_3, all_88_0) = all_357_1
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | REDUCE: (19), (27), (165) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | (166) apply(all_32_4, all_48_0, all_48_2) = all_357_1
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | REDUCE: (27), (164) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | (167) apply(all_32_4, all_48_0, all_48_1) = all_357_0
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | (168) all_90_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (168) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (169) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | REDUCE: (18), (169) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (170) $false
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | (171) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | all_94_3, all_90_0) = v0 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_381_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | all_381_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (172) apply(all_32_4, all_94_3, all_90_0) = all_381_1 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_381_0 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | ( ~ (all_381_0 = 0) | ~ (all_381_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (173) apply(all_32_4, all_94_3, all_48_1) = all_381_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | (174) apply(all_32_4, all_94_3, all_90_0) = all_381_1
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | REDUCE: (17), (27), (174) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (175) apply(all_32_4, all_48_0, all_48_2) = all_381_1
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | REDUCE: (27), (173) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | (176) apply(all_32_4, all_48_0, all_48_1) = all_381_0
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (177) all_56_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (177) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (178) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | SIMP: (178) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (179) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | REDUCE: (18), (179) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (180) $false
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (181) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v1 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v0 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | DELTA: instantiating (181) with fresh symbols all_405_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | all_405_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (182) apply(all_32_4, all_94_3, all_56_0) = all_405_0 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_405_1 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | | ( ~ (all_405_0 = 0) | ~ (all_405_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (183) apply(all_32_4, all_94_3, all_48_1) = all_405_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (184) apply(all_32_4, all_94_3, all_56_0) = all_405_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | REDUCE: (23), (27), (184) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (185) apply(all_32_4, all_48_0, all_48_2) = all_405_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | REDUCE: (27), (183) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | (186) apply(all_32_4, all_48_0, all_48_1) = all_405_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (187) all_56_0 = all_48_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (187) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (188) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (189) all_48_1 = all_48_2
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | REDUCE: (18), (189) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (190) $false
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (191) ? [v0: any] : ? [v1: any] : (apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_94_3, all_56_0) = v0 & apply(all_32_4,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_94_3, all_48_1) = v1 & ( ~ (v1 = 0) | ~
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (191) with fresh symbols all_429_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_429_1 gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (192) apply(all_32_4, all_94_3, all_56_0) = all_429_1 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | apply(all_32_4, all_94_3, all_48_1) = all_429_0 &
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | ( ~ (all_429_0 = 0) | ~ (all_429_1 = 0))
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (193) apply(all_32_4, all_94_3, all_48_1) = all_429_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (194) apply(all_32_4, all_94_3, all_56_0) = all_429_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | REDUCE: (23), (27), (194) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (195) apply(all_32_4, all_48_0, all_48_2) = all_429_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | REDUCE: (27), (193) imply:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (196) apply(all_32_4, all_48_0, all_48_1) = all_429_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_184_1, all_196_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (67), (84) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (197) all_196_1 = all_184_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_196_1, all_202_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (84), (93) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (198) all_202_0 = all_196_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_220_0, all_274_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (103), (142) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (199) all_274_0 = all_220_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_202_0, all_274_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (93), (142) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (200) all_274_0 = all_202_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_274_0, all_339_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (142), (157) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (201) all_339_0 = all_274_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_256_0, all_339_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (124), (157) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (202) all_339_0 = all_256_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_71_0, all_381_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (21), (175) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (203) all_381_1 = all_71_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_184_1, all_381_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (67), (175) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (204) all_381_1 = all_184_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with 0, all_381_1, all_48_2,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (12), (175)
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (205) all_381_1 = 0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_381_1, all_405_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (175), (185) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (206) all_405_0 = all_381_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_178_0, all_405_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (58), (185) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (207) all_405_0 = all_178_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_357_1, all_429_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (166), (195) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (208) all_429_1 = all_357_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_274_0, all_429_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (142), (195) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (209) all_429_1 = all_274_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_262_0, all_429_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (133), (195) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (210) all_429_1 = all_262_0
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_232_1, all_429_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (113), (195) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (211) all_429_1 = all_232_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_166_1, all_429_1,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_2, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (43), (195) gives:
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (212) all_429_1 = all_166_1
% 84.70/12.36 | | | | | | | | | | | | | | | | | | |
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_71_1, all_172_0,
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.36 | | | | | | | | | | | | | | | | | | | (1), (49) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (213) all_172_0 = all_71_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_172_0, all_178_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (49), (56) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (214) all_178_1 = all_172_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_178_1, all_184_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (56), (68) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (215) all_184_0 = all_178_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_172_0, all_196_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (49), (82) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (216) all_196_0 = all_172_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with 0, all_196_0, all_48_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_0, all_32_4, simplifying with (22), (82)
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (217) all_196_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_184_0, all_202_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (68), (94) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (218) all_202_1 = all_184_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_196_0, all_256_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (82), (125) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (219) all_256_1 = all_196_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_256_1, all_274_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (125), (140) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (220) all_274_1 = all_256_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_262_1, all_339_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (134), (155) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (221) all_339_1 = all_262_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_166_0, all_339_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (40), (155) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (222) all_339_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_298_0, all_357_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (148), (167) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (223) all_357_0 = all_298_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_262_1, all_357_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (134), (167) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (224) all_357_0 = all_262_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_232_0, all_357_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (114), (167) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (225) all_357_0 = all_232_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_381_0, all_405_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (176), (186) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (226) all_405_1 = all_381_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_274_1, all_405_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (140), (186) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (227) all_405_1 = all_274_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_190_0, all_405_1,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (75), (186) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (228) all_405_1 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_357_0, all_429_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (167), (196) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (229) all_429_0 = all_357_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_220_1, all_429_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (104), (196) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (230) all_429_0 = all_220_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_202_1, all_429_0,
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | all_48_1, all_48_0, all_32_4, simplifying with
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (94), (196) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (231) all_429_0 = all_202_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (230), (231) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (232) all_220_1 = all_202_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (230) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (233) all_357_0 = all_220_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (234) all_357_0 = all_220_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (211) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (235) all_357_1 = all_232_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (209) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (236) all_357_1 = all_274_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (210) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (237) all_357_1 = all_262_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (208), (212) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (238) all_357_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (207) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (239) all_381_1 = all_178_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (239) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (240) all_381_1 = all_178_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (228) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (241) all_381_0 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (227) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (242) all_381_0 = all_274_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (242) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (243) all_274_1 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (243) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (244) all_274_1 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (240) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (245) all_178_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (240) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (246) all_184_1 = all_178_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (247) all_184_1 = all_178_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (203), (240) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (248) all_178_0 = all_71_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (224) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (249) all_298_0 = all_262_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (234) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (250) all_298_0 = all_220_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (225) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (251) all_298_0 = all_232_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (238) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (252) all_262_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (237) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (253) all_274_0 = all_262_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (253) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (254) all_274_0 = all_262_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (237) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (255) all_262_0 = all_232_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (202) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (256) all_274_0 = all_256_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (256) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (257) all_274_0 = all_256_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (222) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (258) all_262_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (259) all_262_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (251) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (260) all_262_1 = all_232_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (260) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (261) all_262_1 = all_232_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (251) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (262) all_232_0 = all_220_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (257) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (263) all_256_0 = all_220_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (200), (257) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (264) all_256_0 = all_202_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (257) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (265) all_262_0 = all_256_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (266) all_262_0 = all_256_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (244) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (267) all_256_1 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (268) all_256_1 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (266) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (269) all_256_0 = all_232_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (270) all_256_0 = all_232_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (255) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (271) all_232_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (261) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (272) all_232_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (272) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (273) all_232_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (270) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (274) all_232_1 = all_220_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (275) all_232_1 = all_220_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (264) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (276) all_220_0 = all_202_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (268) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (277) all_196_0 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (278) all_196_0 = all_190_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (273) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (279) all_220_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (280) all_220_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (275) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (281) all_220_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (282) all_220_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (282) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (283) all_202_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (283) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (284) all_202_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (232), (280) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (285) all_202_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (285) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (286) all_202_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (284) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (287) all_196_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (288) all_196_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (286) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (289) all_184_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (289) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (290) all_184_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (278) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (291) all_190_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (278) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (292) all_190_0 = all_172_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (288) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (293) all_184_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (294) all_184_1 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (292) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (295) all_172_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (296) all_172_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (290) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (297) all_178_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (297) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (298) all_178_1 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (294) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (299) all_178_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (299) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (300) all_178_0 = all_166_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (300) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (301) all_166_1 = all_71_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (300) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (302) all_166_1 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (298) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (303) all_172_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (303) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (304) all_172_0 = all_166_0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (304) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (305) all_166_0 = all_71_1
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (304) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (306) all_166_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (306) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (307) all_71_1 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (307) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (308) all_71_1 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (302) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (309) all_71_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | SIMP: (309) implies:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | (310) all_71_0 = 0
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | (311) ~ (all_71_0 = 0)
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (311) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | (312) $false
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent.
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | (313) ~ (all_71_1 = 0)
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (308), (313) imply:
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | (314) $false
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | | |
% 84.70/12.37 | | | | | | | | | End of split
% 84.70/12.37 | | | | | | | | |
% 84.70/12.37 | | | | | | | | End of split
% 84.70/12.37 | | | | | | | |
% 84.70/12.37 | | | | | | | End of split
% 84.70/12.37 | | | | | | |
% 84.70/12.37 | | | | | | End of split
% 84.70/12.37 | | | | | |
% 84.70/12.37 | | | | | End of split
% 84.70/12.37 | | | | |
% 84.70/12.37 | | | | End of split
% 84.70/12.37 | | | |
% 84.70/12.37 | | | End of split
% 84.70/12.37 | | |
% 84.70/12.37 | | End of split
% 84.70/12.37 | |
% 84.70/12.37 | End of split
% 84.70/12.37 |
% 84.70/12.37 End of proof
% 84.70/12.37 % SZS output end Proof for theBenchmark
% 84.70/12.37
% 84.70/12.37 11763ms
%------------------------------------------------------------------------------