TSTP Solution File: SET728+4 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET728+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 : n017.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 15:26:11 EDT 2023
% Result : Theorem 25.66s 4.14s
% Output : Proof 97.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET728+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 11:14:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.63 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 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.37/1.16 Prover 4: Preprocessing ...
% 3.37/1.17 Prover 1: Preprocessing ...
% 3.73/1.21 Prover 6: Preprocessing ...
% 3.73/1.21 Prover 0: Preprocessing ...
% 3.73/1.21 Prover 5: Preprocessing ...
% 3.73/1.21 Prover 3: Preprocessing ...
% 3.73/1.21 Prover 2: Preprocessing ...
% 8.38/1.88 Prover 5: Proving ...
% 8.38/1.91 Prover 2: Proving ...
% 8.38/1.93 Prover 6: Proving ...
% 9.05/2.01 Prover 3: Constructing countermodel ...
% 10.13/2.05 Prover 1: Constructing countermodel ...
% 12.98/2.45 Prover 4: Constructing countermodel ...
% 13.24/2.48 Prover 0: Proving ...
% 25.66/4.14 Prover 0: proved (3503ms)
% 25.66/4.14
% 25.66/4.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.66/4.14
% 26.39/4.17 Prover 5: stopped
% 26.39/4.17 Prover 2: stopped
% 26.39/4.17 Prover 6: stopped
% 26.39/4.18 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 26.39/4.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 26.39/4.18 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 26.39/4.19 Prover 3: stopped
% 26.59/4.19 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 26.59/4.19 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.85/4.24 Prover 7: Preprocessing ...
% 26.85/4.24 Prover 10: Preprocessing ...
% 26.85/4.25 Prover 8: Preprocessing ...
% 26.85/4.25 Prover 11: Preprocessing ...
% 27.42/4.30 Prover 13: Preprocessing ...
% 27.95/4.39 Prover 7: Warning: ignoring some quantifiers
% 27.95/4.39 Prover 10: Warning: ignoring some quantifiers
% 27.95/4.40 Prover 7: Constructing countermodel ...
% 27.95/4.41 Prover 10: Constructing countermodel ...
% 28.69/4.48 Prover 8: Warning: ignoring some quantifiers
% 28.69/4.49 Prover 8: Constructing countermodel ...
% 28.69/4.50 Prover 13: Warning: ignoring some quantifiers
% 28.69/4.55 Prover 13: Constructing countermodel ...
% 28.69/4.56 Prover 10: gave up
% 28.69/4.57 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 29.77/4.63 Prover 16: Preprocessing ...
% 30.40/4.73 Prover 16: Warning: ignoring some quantifiers
% 30.40/4.74 Prover 16: Constructing countermodel ...
% 32.12/4.98 Prover 11: Constructing countermodel ...
% 67.94/9.56 Prover 13: stopped
% 67.94/9.58 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 67.94/9.62 Prover 19: Preprocessing ...
% 70.17/9.85 Prover 19: Warning: ignoring some quantifiers
% 70.17/9.86 Prover 19: Constructing countermodel ...
% 82.68/11.46 Prover 16: stopped
% 95.72/13.21 Prover 4: Found proof (size 2665)
% 95.72/13.21 Prover 4: proved (12568ms)
% 95.72/13.21 Prover 7: stopped
% 95.72/13.21 Prover 1: stopped
% 95.72/13.21 Prover 19: stopped
% 95.72/13.21 Prover 8: stopped
% 96.42/13.22 Prover 11: stopped
% 96.42/13.22
% 96.42/13.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.42/13.22
% 96.42/13.27 % SZS output start Proof for theBenchmark
% 96.42/13.28 Assumptions after simplification:
% 96.42/13.28 ---------------------------------
% 96.42/13.28
% 96.42/13.28 (compose_function)
% 96.73/13.31 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 96.73/13.31 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 96.73/13.31 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 96.73/13.31 ~ (apply(v1, v5, v9) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) |
% 96.73/13.31 ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any]
% 96.73/13.31 : ((apply(v0, v9, v6) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10
% 96.73/13.31 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 =
% 96.73/13.31 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 96.73/13.31 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 96.73/13.31 int] : ! [v9: $i] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) =
% 96.73/13.31 v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ~ $i(v9)
% 96.73/13.31 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 96.73/13.31 $i(v0) | ? [v10: any] : ? [v11: any] : ((apply(v1, v5, v9) = v11 &
% 96.73/13.31 member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4)
% 96.73/13.31 = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & !
% 96.73/13.31 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 96.73/13.31 : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : ! [v9: $i] : (v8 = 0 | ~
% 96.73/13.31 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) |
% 96.73/13.31 ~ (member(v9, v3) = 0) | ~ $i(v9) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~
% 96.73/13.31 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v10: any] : ? [v11: any] :
% 96.73/13.31 ((apply(v1, v5, v9) = v10 & apply(v0, v9, v6) = v11 & ( ~ (v11 = 0) | ~
% 96.73/13.31 (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11
% 96.73/13.31 = 0) | ~ (v10 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 96.73/13.31 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 96.73/13.31 (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) |
% 96.73/13.31 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 96.73/13.31 $i(v0) | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ?
% 96.73/13.31 [v12: int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 96.73/13.31 apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10, v3) = 0)
% 96.73/13.31 | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 =
% 96.73/13.31 0))))))
% 96.73/13.31
% 96.73/13.31 (equal_maps)
% 96.73/13.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 96.73/13.32 $i] : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~
% 96.73/13.32 (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ $i(v6) | ~ $i(v5)
% 96.73/13.32 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] :
% 96.73/13.32 ? [v8: any] : ? [v9: any] : (member(v6, v3) = v9 & member(v5, v3) = v8 &
% 96.73/13.32 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 96.73/13.32 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 96.73/13.32 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1,
% 96.73/13.32 v4, v6) = 0) | ~ (member(v5, v3) = 0) | ~ $i(v6) | ~ $i(v5) | ~
% 96.73/13.32 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ?
% 96.73/13.32 [v8: any] : ? [v9: any] : (apply(v0, v4, v5) = v9 & member(v6, v3) = v8 &
% 96.73/13.32 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 96.73/13.32 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 96.73/13.32 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0,
% 96.73/13.32 v4, v5) = 0) | ~ (member(v6, v3) = 0) | ~ $i(v6) | ~ $i(v5) | ~
% 96.73/13.32 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ?
% 96.73/13.32 [v8: any] : ? [v9: any] : (apply(v1, v4, v6) = v9 & member(v5, v3) = v8 &
% 96.73/13.32 member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & !
% 96.73/13.32 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 96.73/13.32 : ! [v6: $i] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~
% 96.73/13.32 (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) |
% 96.73/13.32 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 96.73/13.32 $i(v0) | ? [v7: any] : ? [v8: any] : (apply(v1, v4, v6) = v8 & apply(v0,
% 96.73/13.32 v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0: $i] : ! [v1: $i]
% 96.73/13.32 : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (equal_maps(v0, v1,
% 96.73/13.32 v2, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5:
% 96.73/13.32 $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 &
% 96.73/13.32 apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 &
% 96.73/13.32 member(v5, v2) = 0 & $i(v7) & $i(v6) & $i(v5)))
% 96.73/13.32
% 96.73/13.32 (identity)
% 96.73/13.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 96.73/13.32 (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 96.73/13.32 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0:
% 96.73/13.32 $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ~
% 96.73/13.32 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & apply(v0,
% 96.73/13.32 v3, v3) = v4 & member(v3, v1) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i]
% 96.73/13.32 : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | ~
% 96.73/13.32 $i(v2) | ~ $i(v1) | ~ $i(v0) | apply(v0, v2, v2) = 0)
% 96.73/13.32
% 96.73/13.32 (maps)
% 96.73/13.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 96.73/13.33 $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~
% 96.73/13.33 (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 96.73/13.33 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 96.73/13.33 (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 =
% 96.73/13.33 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 96.73/13.33 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0,
% 96.73/13.33 v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ~
% 96.73/13.33 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6:
% 96.73/13.33 any] : ? [v7: any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5,
% 96.73/13.33 v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 =
% 96.73/13.33 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 96.73/13.33 [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0,
% 96.73/13.33 v3, v4) = 0) | ~ (member(v5, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 96.73/13.33 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] :
% 96.73/13.33 ? [v8: any] : (apply(v0, v3, v5) = v8 & member(v4, v2) = v7 & member(v3, v1)
% 96.73/13.33 = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : ! [v1:
% 96.73/13.33 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 96.73/13.33 (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) |
% 96.73/13.33 ~ (member(v3, v1) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 96.73/13.33 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 &
% 96.73/13.33 apply(v0, v3, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0: $i] : !
% 96.73/13.33 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) |
% 96.73/13.33 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 96.73/13.33 : ? [v7: int] : ? [v8: int] : ? [v9: int] : ? [v10: int] : ? [v11: int]
% 96.73/13.33 : ? [v12: $i] : ? [v13: int] : ($i(v12) & $i(v6) & $i(v5) & $i(v4) & ((v13
% 96.73/13.33 = 0 & member(v12, v1) = 0 & ! [v14: $i] : ( ~ (apply(v0, v12, v14) =
% 96.73/13.33 0) | ~ $i(v14) | ? [v15: int] : ( ~ (v15 = 0) & member(v14, v2)
% 96.73/13.33 = v15)) & ! [v14: $i] : ( ~ (member(v14, v2) = 0) | ~ $i(v14) |
% 96.73/13.33 ? [v15: int] : ( ~ (v15 = 0) & apply(v0, v12, v14) = v15))) | (v11 =
% 96.73/13.33 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4,
% 96.73/13.33 v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5,
% 96.73/13.33 v2) = 0 & member(v4, v1) = 0)))) & ! [v0: $i] : ! [v1: $i] : !
% 96.73/13.33 [v2: $i] : ! [v3: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0)
% 96.73/13.33 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0,
% 96.73/13.33 v3, v4) = 0 & member(v4, v2) = 0 & $i(v4)))
% 96.73/13.33
% 96.73/13.33 (thII19)
% 96.73/13.33 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 96.73/13.33 $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & identity(v6, v4) = 0 &
% 96.73/13.33 identity(v5, v3) = 0 & equal_maps(v1, v2, v4, v3) = v7 &
% 96.73/13.33 compose_function(v1, v0, v3, v4, v3) = v5 & compose_function(v0, v2, v4, v3,
% 96.73/13.33 v4) = v6 & maps(v2, v4, v3) = 0 & maps(v1, v4, v3) = 0 & maps(v0, v3, v4)
% 96.73/13.33 = 0 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 96.73/13.33
% 96.73/13.33 (function-axioms)
% 96.73/13.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 96.73/13.34 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 |
% 96.73/13.34 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~
% 96.73/13.34 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 96.73/13.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 96.73/13.34 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5,
% 96.73/13.34 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 96.73/13.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 96.73/13.34 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5,
% 96.73/13.34 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 96.73/13.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 96.73/13.34 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5,
% 96.73/13.34 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 96.73/13.34 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 96.73/13.34 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~
% 96.73/13.34 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 96.73/13.34 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 96.73/13.34 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~
% 96.73/13.34 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 96.73/13.34 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 96.73/13.34 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5,
% 96.73/13.34 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 96.73/13.34 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~
% 96.73/13.34 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 96.73/13.34 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~
% 96.73/13.34 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 96.73/13.34 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) |
% 96.73/13.34 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 96.73/13.34 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 |
% 96.73/13.34 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & !
% 96.73/13.34 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 96.73/13.34 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~
% 96.73/13.34 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 96.73/13.34 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 96.73/13.34 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0:
% 96.73/13.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 96.73/13.34 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) =
% 96.73/13.34 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 96.73/13.34 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) |
% 96.73/13.34 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 96.73/13.34 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~
% 96.73/13.34 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 96.73/13.34 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) &
% 96.73/13.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 96.73/13.34 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 96.73/13.34 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 96.73/13.34 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0:
% 96.73/13.34 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 96.73/13.34 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : !
% 96.73/13.34 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~
% 96.73/13.34 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 96.73/13.34 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) =
% 96.73/13.34 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 96.73/13.34 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~
% 96.73/13.34 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 96.73/13.34 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3,
% 96.73/13.34 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 96.73/13.34 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 96.73/13.34 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 96.73/13.34 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) =
% 96.73/13.34 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) =
% 96.73/13.34 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 96.73/13.34 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : !
% 96.73/13.34 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~
% 96.73/13.34 (power_set(v2) = v0))
% 96.73/13.34
% 96.73/13.34 Further assumptions not needed in the proof:
% 96.73/13.34 --------------------------------------------
% 96.73/13.34 compose_predicate, decreasing_function, difference, empty_set, equal_set,
% 96.73/13.34 image2, image3, increasing_function, injective, intersection, inverse_function,
% 96.73/13.34 inverse_image2, inverse_image3, inverse_predicate, isomorphism, one_to_one,
% 96.73/13.34 power_set, product, singleton, subset, sum, surjective, union, unordered_pair
% 96.73/13.34
% 96.73/13.34 Those formulas are unsatisfiable:
% 96.73/13.34 ---------------------------------
% 96.73/13.34
% 96.73/13.34 Begin of proof
% 96.73/13.35 |
% 96.73/13.35 | ALPHA: (maps) implies:
% 96.73/13.35 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (maps(v0,
% 96.73/13.35 | v1, v2) = 0) | ~ (member(v3, v1) = 0) | ~ $i(v3) | ~ $i(v2) |
% 96.73/13.35 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (apply(v0, v3, v4) = 0 &
% 96.73/13.35 | member(v4, v2) = 0 & $i(v4)))
% 96.73/13.35 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 96.73/13.35 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2)
% 96.73/13.35 | = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ~
% 96.73/13.35 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 96.73/13.35 | ? [v6: any] : ? [v7: any] : (apply(v0, v3, v5) = v7 & apply(v0, v3,
% 96.73/13.35 | v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 96.73/13.35 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 96.73/13.35 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 96.73/13.35 | v5) = 0) | ~ (member(v4, v2) = 0) | ~ $i(v5) | ~ $i(v4) | ~
% 96.73/13.35 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 96.73/13.35 | any] : ? [v8: any] : (apply(v0, v3, v4) = v8 & member(v5, v2) = v7
% 96.73/13.35 | & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 96.73/13.35 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 96.73/13.35 | ! [v5: $i] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3,
% 96.73/13.35 | v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) |
% 96.73/13.35 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7:
% 96.73/13.35 | any] : ? [v8: any] : (member(v5, v2) = v8 & member(v4, v2) = v7 &
% 96.73/13.35 | member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 96.73/13.35 |
% 96.73/13.35 | ALPHA: (compose_function) implies:
% 96.73/13.35 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 96.73/13.35 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (compose_function(v0, v1,
% 96.73/13.35 | v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ~ $i(v6) | ~
% 96.73/13.35 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 96.73/13.35 | ? [v8: any] : ? [v9: any] : ? [v10: $i] : ? [v11: int] : ? [v12:
% 96.73/13.35 | int] : ? [v13: int] : ($i(v10) & ((v13 = 0 & v12 = 0 & v11 = 0 &
% 96.73/13.35 | apply(v1, v5, v10) = 0 & apply(v0, v10, v6) = 0 & member(v10,
% 96.73/13.35 | v3) = 0) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~
% 96.73/13.35 | (v9 = 0) | ~ (v8 = 0))))))
% 96.73/13.35 |
% 96.73/13.35 | ALPHA: (equal_maps) implies:
% 96.73/13.36 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 96.73/13.36 | (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ $i(v2)
% 96.73/13.36 | | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (
% 96.73/13.36 | ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 &
% 96.73/13.36 | member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0 &
% 96.73/13.36 | $i(v7) & $i(v6) & $i(v5)))
% 96.73/13.36 |
% 96.73/13.36 | ALPHA: (identity) implies:
% 96.73/13.36 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity(v0, v1) = 0) |
% 96.73/13.36 | ~ (member(v2, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 96.73/13.36 | apply(v0, v2, v2) = 0)
% 96.73/13.36 |
% 96.73/13.36 | ALPHA: (function-axioms) implies:
% 96.73/13.36 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 96.73/13.36 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2)
% 96.73/13.36 | = v0))
% 96.73/13.36 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 96.73/13.36 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 96.73/13.36 | (apply(v4, v3, v2) = v0))
% 96.73/13.36 |
% 96.73/13.36 | DELTA: instantiating (thII19) with fresh symbols all_32_0, all_32_1, all_32_2,
% 96.73/13.36 | all_32_3, all_32_4, all_32_5, all_32_6, all_32_7 gives:
% 96.73/13.36 | (10) ~ (all_32_0 = 0) & identity(all_32_1, all_32_3) = 0 &
% 96.73/13.36 | identity(all_32_2, all_32_4) = 0 & equal_maps(all_32_6, all_32_5,
% 96.73/13.36 | all_32_3, all_32_4) = all_32_0 & compose_function(all_32_6,
% 96.73/13.36 | all_32_7, all_32_4, all_32_3, all_32_4) = all_32_2 &
% 96.73/13.36 | compose_function(all_32_7, all_32_5, all_32_3, all_32_4, all_32_3) =
% 96.73/13.36 | all_32_1 & maps(all_32_5, all_32_3, all_32_4) = 0 & maps(all_32_6,
% 96.73/13.36 | all_32_3, all_32_4) = 0 & maps(all_32_7, all_32_4, all_32_3) = 0 &
% 96.73/13.36 | $i(all_32_1) & $i(all_32_2) & $i(all_32_3) & $i(all_32_4) &
% 96.73/13.36 | $i(all_32_5) & $i(all_32_6) & $i(all_32_7)
% 96.73/13.36 |
% 96.73/13.36 | ALPHA: (10) implies:
% 96.73/13.36 | (11) ~ (all_32_0 = 0)
% 96.73/13.36 | (12) $i(all_32_7)
% 96.73/13.36 | (13) $i(all_32_6)
% 96.73/13.36 | (14) $i(all_32_5)
% 96.73/13.36 | (15) $i(all_32_4)
% 96.73/13.36 | (16) $i(all_32_3)
% 96.73/13.36 | (17) $i(all_32_2)
% 96.73/13.36 | (18) $i(all_32_1)
% 96.73/13.36 | (19) maps(all_32_7, all_32_4, all_32_3) = 0
% 96.73/13.36 | (20) maps(all_32_6, all_32_3, all_32_4) = 0
% 96.73/13.36 | (21) maps(all_32_5, all_32_3, all_32_4) = 0
% 96.73/13.36 | (22) compose_function(all_32_7, all_32_5, all_32_3, all_32_4, all_32_3) =
% 96.73/13.36 | all_32_1
% 96.73/13.36 | (23) compose_function(all_32_6, all_32_7, all_32_4, all_32_3, all_32_4) =
% 96.73/13.36 | all_32_2
% 96.73/13.36 | (24) equal_maps(all_32_6, all_32_5, all_32_3, all_32_4) = all_32_0
% 96.73/13.36 | (25) identity(all_32_2, all_32_4) = 0
% 96.73/13.36 | (26) identity(all_32_1, all_32_3) = 0
% 96.73/13.36 |
% 96.73/13.36 | GROUND_INST: instantiating (6) with all_32_6, all_32_5, all_32_3, all_32_4,
% 96.73/13.36 | all_32_0, simplifying with (13), (14), (15), (16), (24) gives:
% 96.73/13.36 | (27) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1)
% 96.73/13.36 | & apply(all_32_5, v0, v2) = 0 & apply(all_32_6, v0, v1) = 0 &
% 96.73/13.36 | member(v2, all_32_4) = 0 & member(v1, all_32_4) = 0 & member(v0,
% 96.73/13.36 | all_32_3) = 0 & $i(v2) & $i(v1) & $i(v0))
% 96.73/13.36 |
% 96.73/13.36 | BETA: splitting (27) gives:
% 96.73/13.36 |
% 96.73/13.36 | Case 1:
% 96.73/13.36 | |
% 96.73/13.36 | | (28) all_32_0 = 0
% 96.73/13.36 | |
% 96.73/13.36 | | REDUCE: (11), (28) imply:
% 96.73/13.36 | | (29) $false
% 96.73/13.37 | |
% 96.73/13.37 | | CLOSE: (29) is inconsistent.
% 96.73/13.37 | |
% 96.73/13.37 | Case 2:
% 96.73/13.37 | |
% 96.73/13.37 | | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) &
% 96.73/13.37 | | apply(all_32_5, v0, v2) = 0 & apply(all_32_6, v0, v1) = 0 &
% 96.73/13.37 | | member(v2, all_32_4) = 0 & member(v1, all_32_4) = 0 & member(v0,
% 96.73/13.37 | | all_32_3) = 0 & $i(v2) & $i(v1) & $i(v0))
% 96.73/13.37 | |
% 96.73/13.37 | | DELTA: instantiating (30) with fresh symbols all_41_0, all_41_1, all_41_2
% 96.73/13.37 | | gives:
% 96.73/13.37 | | (31) ~ (all_41_0 = all_41_1) & apply(all_32_5, all_41_2, all_41_0) = 0 &
% 96.73/13.37 | | apply(all_32_6, all_41_2, all_41_1) = 0 & member(all_41_0, all_32_4)
% 96.73/13.37 | | = 0 & member(all_41_1, all_32_4) = 0 & member(all_41_2, all_32_3) =
% 96.73/13.37 | | 0 & $i(all_41_0) & $i(all_41_1) & $i(all_41_2)
% 96.73/13.37 | |
% 96.73/13.37 | | ALPHA: (31) implies:
% 96.73/13.37 | | (32) ~ (all_41_0 = all_41_1)
% 96.73/13.37 | | (33) $i(all_41_2)
% 96.73/13.37 | | (34) $i(all_41_1)
% 96.73/13.37 | | (35) $i(all_41_0)
% 96.73/13.37 | | (36) member(all_41_2, all_32_3) = 0
% 96.73/13.37 | | (37) member(all_41_1, all_32_4) = 0
% 96.73/13.37 | | (38) member(all_41_0, all_32_4) = 0
% 96.73/13.37 | | (39) apply(all_32_6, all_41_2, all_41_1) = 0
% 97.10/13.37 | | (40) apply(all_32_5, all_41_2, all_41_0) = 0
% 97.10/13.37 | |
% 97.10/13.37 | | GROUND_INST: instantiating (1) with all_32_5, all_32_3, all_32_4, all_41_2,
% 97.10/13.37 | | simplifying with (14), (15), (16), (21), (33), (36) gives:
% 97.10/13.37 | | (41) ? [v0: $i] : (apply(all_32_5, all_41_2, v0) = 0 & member(v0,
% 97.10/13.37 | | all_32_4) = 0 & $i(v0))
% 97.10/13.37 | |
% 97.10/13.37 | | GROUND_INST: instantiating (1) with all_32_6, all_32_3, all_32_4, all_41_2,
% 97.10/13.37 | | simplifying with (13), (15), (16), (20), (33), (36) gives:
% 97.11/13.37 | | (42) ? [v0: $i] : (apply(all_32_6, all_41_2, v0) = 0 & member(v0,
% 97.11/13.37 | | all_32_4) = 0 & $i(v0))
% 97.11/13.37 | |
% 97.11/13.37 | | GROUND_INST: instantiating (7) with all_32_1, all_32_3, all_41_2,
% 97.11/13.37 | | simplifying with (16), (18), (26), (33), (36) gives:
% 97.11/13.37 | | (43) apply(all_32_1, all_41_2, all_41_2) = 0
% 97.11/13.37 | |
% 97.11/13.37 | | GROUND_INST: instantiating (1) with all_32_7, all_32_4, all_32_3, all_41_1,
% 97.11/13.37 | | simplifying with (12), (15), (16), (19), (34), (37) gives:
% 97.11/13.37 | | (44) ? [v0: $i] : (apply(all_32_7, all_41_1, v0) = 0 & member(v0,
% 97.11/13.37 | | all_32_3) = 0 & $i(v0))
% 97.11/13.37 | |
% 97.11/13.37 | | GROUND_INST: instantiating (2) with all_32_5, all_32_3, all_32_4, all_41_2,
% 97.11/13.37 | | all_41_1, all_41_0, simplifying with (14), (15), (16), (21),
% 97.11/13.37 | | (33), (34), (35), (36), (37), (38) gives:
% 97.11/13.37 | | (45) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.11/13.37 | | all_41_2, all_41_0) = v1 & apply(all_32_5, all_41_2, all_41_1) =
% 97.11/13.37 | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.37 | |
% 97.11/13.37 | | GROUND_INST: instantiating (2) with all_32_5, all_32_3, all_32_4, all_41_2,
% 97.11/13.37 | | all_41_0, all_41_1, simplifying with (14), (15), (16), (21),
% 97.11/13.37 | | (33), (34), (35), (36), (37), (38) gives:
% 97.11/13.37 | | (46) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.11/13.37 | | all_41_2, all_41_0) = v0 & apply(all_32_5, all_41_2, all_41_1) =
% 97.11/13.37 | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.37 | |
% 97.11/13.37 | | GROUND_INST: instantiating (2) with all_32_6, all_32_3, all_32_4, all_41_2,
% 97.11/13.37 | | all_41_1, all_41_0, simplifying with (13), (15), (16), (20),
% 97.11/13.37 | | (33), (34), (35), (36), (37), (38) gives:
% 97.11/13.38 | | (47) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.11/13.38 | | all_41_2, all_41_0) = v1 & apply(all_32_6, all_41_2, all_41_1) =
% 97.11/13.38 | | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.38 | |
% 97.11/13.38 | | GROUND_INST: instantiating (2) with all_32_6, all_32_3, all_32_4, all_41_2,
% 97.11/13.38 | | all_41_0, all_41_1, simplifying with (13), (15), (16), (20),
% 97.11/13.38 | | (33), (34), (35), (36), (37), (38) gives:
% 97.11/13.38 | | (48) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.11/13.38 | | all_41_2, all_41_0) = v0 & apply(all_32_6, all_41_2, all_41_1) =
% 97.11/13.38 | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.38 | |
% 97.11/13.38 | | GROUND_INST: instantiating (1) with all_32_7, all_32_4, all_32_3, all_41_0,
% 97.11/13.38 | | simplifying with (12), (15), (16), (19), (35), (38) gives:
% 97.11/13.38 | | (49) ? [v0: $i] : (apply(all_32_7, all_41_0, v0) = 0 & member(v0,
% 97.11/13.38 | | all_32_3) = 0 & $i(v0))
% 97.11/13.38 | |
% 97.11/13.38 | | GROUND_INST: instantiating (7) with all_32_2, all_32_4, all_41_0,
% 97.11/13.38 | | simplifying with (15), (17), (25), (35), (38) gives:
% 97.11/13.38 | | (50) apply(all_32_2, all_41_0, all_41_0) = 0
% 97.11/13.38 | |
% 97.11/13.38 | | GROUND_INST: instantiating (3) with all_32_6, all_32_3, all_32_4, all_41_2,
% 97.11/13.38 | | all_41_0, all_41_1, simplifying with (13), (15), (16), (20),
% 97.11/13.38 | | (33), (34), (35), (38), (39) gives:
% 97.11/13.38 | | (51) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.11/13.38 | | (apply(all_32_6, all_41_2, all_41_0) = v2 & member(all_41_1,
% 97.11/13.38 | | all_32_4) = v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0)
% 97.11/13.38 | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.38 | |
% 97.11/13.38 | | GROUND_INST: instantiating (3) with all_32_5, all_32_3, all_32_4, all_41_2,
% 97.11/13.38 | | all_41_1, all_41_0, simplifying with (14), (15), (16), (21),
% 97.11/13.38 | | (33), (34), (35), (37), (40) gives:
% 97.11/13.38 | | (52) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.11/13.38 | | (apply(all_32_5, all_41_2, all_41_1) = v2 & member(all_41_0,
% 97.11/13.38 | | all_32_4) = v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0)
% 97.11/13.38 | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.38 | |
% 97.11/13.38 | | DELTA: instantiating (44) with fresh symbol all_49_0 gives:
% 97.11/13.38 | | (53) apply(all_32_7, all_41_1, all_49_0) = 0 & member(all_49_0, all_32_3)
% 97.11/13.38 | | = 0 & $i(all_49_0)
% 97.11/13.38 | |
% 97.11/13.38 | | ALPHA: (53) implies:
% 97.11/13.38 | | (54) $i(all_49_0)
% 97.11/13.38 | | (55) member(all_49_0, all_32_3) = 0
% 97.11/13.38 | |
% 97.11/13.38 | | DELTA: instantiating (49) with fresh symbol all_51_0 gives:
% 97.11/13.38 | | (56) apply(all_32_7, all_41_0, all_51_0) = 0 & member(all_51_0, all_32_3)
% 97.11/13.38 | | = 0 & $i(all_51_0)
% 97.11/13.38 | |
% 97.11/13.38 | | ALPHA: (56) implies:
% 97.11/13.38 | | (57) $i(all_51_0)
% 97.11/13.38 | | (58) member(all_51_0, all_32_3) = 0
% 97.11/13.38 | | (59) apply(all_32_7, all_41_0, all_51_0) = 0
% 97.11/13.38 | |
% 97.11/13.38 | | DELTA: instantiating (42) with fresh symbol all_53_0 gives:
% 97.11/13.38 | | (60) apply(all_32_6, all_41_2, all_53_0) = 0 & member(all_53_0, all_32_4)
% 97.11/13.38 | | = 0 & $i(all_53_0)
% 97.11/13.38 | |
% 97.11/13.38 | | ALPHA: (60) implies:
% 97.11/13.38 | | (61) $i(all_53_0)
% 97.11/13.38 | | (62) member(all_53_0, all_32_4) = 0
% 97.11/13.38 | | (63) apply(all_32_6, all_41_2, all_53_0) = 0
% 97.11/13.38 | |
% 97.11/13.38 | | DELTA: instantiating (41) with fresh symbol all_55_0 gives:
% 97.11/13.38 | | (64) apply(all_32_5, all_41_2, all_55_0) = 0 & member(all_55_0, all_32_4)
% 97.11/13.38 | | = 0 & $i(all_55_0)
% 97.11/13.38 | |
% 97.11/13.38 | | ALPHA: (64) implies:
% 97.11/13.38 | | (65) $i(all_55_0)
% 97.11/13.38 | | (66) member(all_55_0, all_32_4) = 0
% 97.11/13.38 | | (67) apply(all_32_5, all_41_2, all_55_0) = 0
% 97.11/13.38 | |
% 97.11/13.38 | | BETA: splitting (45) gives:
% 97.11/13.38 | |
% 97.11/13.38 | | Case 1:
% 97.11/13.38 | | |
% 97.11/13.38 | | | (68) all_41_0 = all_41_1
% 97.11/13.38 | | |
% 97.11/13.38 | | | REDUCE: (32), (68) imply:
% 97.11/13.38 | | | (69) $false
% 97.11/13.38 | | |
% 97.11/13.38 | | | CLOSE: (69) is inconsistent.
% 97.11/13.38 | | |
% 97.11/13.38 | | Case 2:
% 97.11/13.38 | | |
% 97.11/13.38 | | | (70) ? [v0: any] : ? [v1: any] : (apply(all_32_5, all_41_2, all_41_0)
% 97.11/13.38 | | | = v1 & apply(all_32_5, all_41_2, all_41_1) = v0 & ( ~ (v1 = 0) |
% 97.11/13.38 | | | ~ (v0 = 0)))
% 97.11/13.38 | | |
% 97.11/13.38 | | | DELTA: instantiating (70) with fresh symbols all_61_0, all_61_1 gives:
% 97.11/13.38 | | | (71) apply(all_32_5, all_41_2, all_41_0) = all_61_0 & apply(all_32_5,
% 97.11/13.38 | | | all_41_2, all_41_1) = all_61_1 & ( ~ (all_61_0 = 0) | ~
% 97.11/13.38 | | | (all_61_1 = 0))
% 97.11/13.38 | | |
% 97.11/13.38 | | | ALPHA: (71) implies:
% 97.11/13.38 | | | (72) apply(all_32_5, all_41_2, all_41_0) = all_61_0
% 97.11/13.38 | | |
% 97.11/13.38 | | | BETA: splitting (47) gives:
% 97.11/13.38 | | |
% 97.11/13.38 | | | Case 1:
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | (73) all_41_0 = all_41_1
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | REDUCE: (32), (73) imply:
% 97.11/13.38 | | | | (74) $false
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | CLOSE: (74) is inconsistent.
% 97.11/13.38 | | | |
% 97.11/13.38 | | | Case 2:
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | (75) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.11/13.38 | | | | all_41_0) = v1 & apply(all_32_6, all_41_2, all_41_1) = v0 &
% 97.11/13.38 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | DELTA: instantiating (75) with fresh symbols all_66_0, all_66_1 gives:
% 97.11/13.38 | | | | (76) apply(all_32_6, all_41_2, all_41_0) = all_66_0 & apply(all_32_6,
% 97.11/13.38 | | | | all_41_2, all_41_1) = all_66_1 & ( ~ (all_66_0 = 0) | ~
% 97.11/13.38 | | | | (all_66_1 = 0))
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | ALPHA: (76) implies:
% 97.11/13.38 | | | | (77) apply(all_32_6, all_41_2, all_41_1) = all_66_1
% 97.11/13.38 | | | | (78) apply(all_32_6, all_41_2, all_41_0) = all_66_0
% 97.11/13.38 | | | | (79) ~ (all_66_0 = 0) | ~ (all_66_1 = 0)
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | BETA: splitting (48) gives:
% 97.11/13.38 | | | |
% 97.11/13.38 | | | | Case 1:
% 97.11/13.38 | | | | |
% 97.11/13.39 | | | | | (80) all_41_0 = all_41_1
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | REDUCE: (32), (80) imply:
% 97.11/13.39 | | | | | (81) $false
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | CLOSE: (81) is inconsistent.
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | Case 2:
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | (82) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.11/13.39 | | | | | all_41_0) = v0 & apply(all_32_6, all_41_2, all_41_1) = v1
% 97.11/13.39 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | DELTA: instantiating (82) with fresh symbols all_71_0, all_71_1 gives:
% 97.11/13.39 | | | | | (83) apply(all_32_6, all_41_2, all_41_0) = all_71_1 &
% 97.11/13.39 | | | | | apply(all_32_6, all_41_2, all_41_1) = all_71_0 & ( ~ (all_71_0
% 97.11/13.39 | | | | | = 0) | ~ (all_71_1 = 0))
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | ALPHA: (83) implies:
% 97.11/13.39 | | | | | (84) apply(all_32_6, all_41_2, all_41_1) = all_71_0
% 97.11/13.39 | | | | | (85) apply(all_32_6, all_41_2, all_41_0) = all_71_1
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | BETA: splitting (52) gives:
% 97.11/13.39 | | | | |
% 97.11/13.39 | | | | | Case 1:
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | (86) all_41_0 = all_41_1
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | REDUCE: (32), (86) imply:
% 97.11/13.39 | | | | | | (87) $false
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | CLOSE: (87) is inconsistent.
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | Case 2:
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.11/13.39 | | | | | | (apply(all_32_5, all_41_2, all_41_1) = v2 & member(all_41_0,
% 97.11/13.39 | | | | | | all_32_4) = v1 & member(all_41_2, all_32_3) = v0 & ( ~
% 97.11/13.39 | | | | | | (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | DELTA: instantiating (88) with fresh symbols all_76_0, all_76_1,
% 97.11/13.39 | | | | | | all_76_2 gives:
% 97.11/13.39 | | | | | | (89) apply(all_32_5, all_41_2, all_41_1) = all_76_0 &
% 97.11/13.39 | | | | | | member(all_41_0, all_32_4) = all_76_1 & member(all_41_2,
% 97.11/13.39 | | | | | | all_32_3) = all_76_2 & ( ~ (all_76_0 = 0) | ~ (all_76_1 =
% 97.11/13.39 | | | | | | 0) | ~ (all_76_2 = 0))
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | ALPHA: (89) implies:
% 97.11/13.39 | | | | | | (90) member(all_41_2, all_32_3) = all_76_2
% 97.11/13.39 | | | | | | (91) member(all_41_0, all_32_4) = all_76_1
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | BETA: splitting (51) gives:
% 97.11/13.39 | | | | | |
% 97.11/13.39 | | | | | | Case 1:
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | (92) all_41_0 = all_41_1
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | REDUCE: (32), (92) imply:
% 97.11/13.39 | | | | | | | (93) $false
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | CLOSE: (93) is inconsistent.
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | Case 2:
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.11/13.39 | | | | | | | (apply(all_32_6, all_41_2, all_41_0) = v2 &
% 97.11/13.39 | | | | | | | member(all_41_1, all_32_4) = v1 & member(all_41_2,
% 97.11/13.39 | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 97.11/13.39 | | | | | | | 0)))
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | DELTA: instantiating (94) with fresh symbols all_81_0, all_81_1,
% 97.11/13.39 | | | | | | | all_81_2 gives:
% 97.11/13.39 | | | | | | | (95) apply(all_32_6, all_41_2, all_41_0) = all_81_0 &
% 97.11/13.39 | | | | | | | member(all_41_1, all_32_4) = all_81_1 & member(all_41_2,
% 97.11/13.39 | | | | | | | all_32_3) = all_81_2 & ( ~ (all_81_0 = 0) | ~ (all_81_1
% 97.11/13.39 | | | | | | | = 0) | ~ (all_81_2 = 0))
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | ALPHA: (95) implies:
% 97.11/13.39 | | | | | | | (96) member(all_41_2, all_32_3) = all_81_2
% 97.11/13.39 | | | | | | | (97) member(all_41_1, all_32_4) = all_81_1
% 97.11/13.39 | | | | | | | (98) apply(all_32_6, all_41_2, all_41_0) = all_81_0
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | BETA: splitting (46) gives:
% 97.11/13.39 | | | | | | |
% 97.11/13.39 | | | | | | | Case 1:
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | (99) all_41_0 = all_41_1
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | REDUCE: (32), (99) imply:
% 97.11/13.39 | | | | | | | | (100) $false
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | CLOSE: (100) is inconsistent.
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | Case 2:
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | (101) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.11/13.39 | | | | | | | | all_41_2, all_41_0) = v0 & apply(all_32_5,
% 97.11/13.39 | | | | | | | | all_41_2, all_41_1) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 97.11/13.39 | | | | | | | | 0)))
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | DELTA: instantiating (101) with fresh symbols all_86_0, all_86_1
% 97.11/13.39 | | | | | | | | gives:
% 97.11/13.39 | | | | | | | | (102) apply(all_32_5, all_41_2, all_41_0) = all_86_1 &
% 97.11/13.39 | | | | | | | | apply(all_32_5, all_41_2, all_41_1) = all_86_0 & ( ~
% 97.11/13.39 | | | | | | | | (all_86_0 = 0) | ~ (all_86_1 = 0))
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | ALPHA: (102) implies:
% 97.11/13.39 | | | | | | | | (103) apply(all_32_5, all_41_2, all_41_0) = all_86_1
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (8) with 0, all_81_2, all_32_3,
% 97.11/13.39 | | | | | | | | all_41_2, simplifying with (36), (96) gives:
% 97.11/13.39 | | | | | | | | (104) all_81_2 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (8) with all_76_2, all_81_2,
% 97.11/13.39 | | | | | | | | all_32_3, all_41_2, simplifying with (90), (96)
% 97.11/13.39 | | | | | | | | gives:
% 97.11/13.39 | | | | | | | | (105) all_81_2 = all_76_2
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (8) with 0, all_81_1, all_32_4,
% 97.11/13.39 | | | | | | | | all_41_1, simplifying with (37), (97) gives:
% 97.11/13.39 | | | | | | | | (106) all_81_1 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (8) with 0, all_76_1, all_32_4,
% 97.11/13.39 | | | | | | | | all_41_0, simplifying with (38), (91) gives:
% 97.11/13.39 | | | | | | | | (107) all_76_1 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with 0, all_71_0, all_41_1,
% 97.11/13.39 | | | | | | | | all_41_2, all_32_6, simplifying with (39), (84)
% 97.11/13.39 | | | | | | | | gives:
% 97.11/13.39 | | | | | | | | (108) all_71_0 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with all_66_1, all_71_0,
% 97.11/13.39 | | | | | | | | all_41_1, all_41_2, all_32_6, simplifying with
% 97.11/13.39 | | | | | | | | (77), (84) gives:
% 97.11/13.39 | | | | | | | | (109) all_71_0 = all_66_1
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with all_71_1, all_81_0,
% 97.11/13.39 | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.11/13.39 | | | | | | | | (85), (98) gives:
% 97.11/13.39 | | | | | | | | (110) all_81_0 = all_71_1
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with all_66_0, all_81_0,
% 97.11/13.39 | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.11/13.39 | | | | | | | | (78), (98) gives:
% 97.11/13.39 | | | | | | | | (111) all_81_0 = all_66_0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with 0, all_86_1, all_41_0,
% 97.11/13.39 | | | | | | | | all_41_2, all_32_5, simplifying with (40), (103)
% 97.11/13.39 | | | | | | | | gives:
% 97.11/13.39 | | | | | | | | (112) all_86_1 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | GROUND_INST: instantiating (9) with all_61_0, all_86_1,
% 97.11/13.39 | | | | | | | | all_41_0, all_41_2, all_32_5, simplifying with
% 97.11/13.39 | | | | | | | | (72), (103) gives:
% 97.11/13.39 | | | | | | | | (113) all_86_1 = all_61_0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | COMBINE_EQS: (112), (113) imply:
% 97.11/13.39 | | | | | | | | (114) all_61_0 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | COMBINE_EQS: (110), (111) imply:
% 97.11/13.39 | | | | | | | | (115) all_71_1 = all_66_0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | SIMP: (115) implies:
% 97.11/13.39 | | | | | | | | (116) all_71_1 = all_66_0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | COMBINE_EQS: (104), (105) imply:
% 97.11/13.39 | | | | | | | | (117) all_76_2 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | SIMP: (117) implies:
% 97.11/13.39 | | | | | | | | (118) all_76_2 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | COMBINE_EQS: (108), (109) imply:
% 97.11/13.39 | | | | | | | | (119) all_66_1 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | SIMP: (119) implies:
% 97.11/13.39 | | | | | | | | (120) all_66_1 = 0
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | BETA: splitting (79) gives:
% 97.11/13.39 | | | | | | | |
% 97.11/13.39 | | | | | | | | Case 1:
% 97.11/13.39 | | | | | | | | |
% 97.11/13.39 | | | | | | | | | (121) ~ (all_66_0 = 0)
% 97.11/13.39 | | | | | | | | |
% 97.11/13.39 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_5, all_32_3,
% 97.11/13.39 | | | | | | | | | all_32_4, all_49_0, simplifying with (14), (15),
% 97.11/13.39 | | | | | | | | | (16), (21), (54), (55) gives:
% 97.11/13.40 | | | | | | | | | (122) ? [v0: $i] : (apply(all_32_5, all_49_0, v0) = 0 &
% 97.11/13.40 | | | | | | | | | member(v0, all_32_4) = 0 & $i(v0))
% 97.11/13.40 | | | | | | | | |
% 97.11/13.40 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_5, all_32_3,
% 97.11/13.40 | | | | | | | | | all_32_4, all_51_0, simplifying with (14), (15),
% 97.11/13.40 | | | | | | | | | (16), (21), (57), (58) gives:
% 97.11/13.40 | | | | | | | | | (123) ? [v0: $i] : (apply(all_32_5, all_51_0, v0) = 0 &
% 97.11/13.40 | | | | | | | | | member(v0, all_32_4) = 0 & $i(v0))
% 97.11/13.40 | | | | | | | | |
% 97.11/13.40 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_6, all_32_3,
% 97.11/13.40 | | | | | | | | | all_32_4, all_51_0, simplifying with (13), (15),
% 97.11/13.40 | | | | | | | | | (16), (20), (57), (58) gives:
% 97.11/13.40 | | | | | | | | | (124) ? [v0: $i] : (apply(all_32_6, all_51_0, v0) = 0 &
% 97.11/13.40 | | | | | | | | | member(v0, all_32_4) = 0 & $i(v0))
% 97.11/13.40 | | | | | | | | |
% 97.11/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.11/13.40 | | | | | | | | | all_32_3, all_41_0, all_41_2, all_51_0,
% 97.11/13.40 | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.11/13.40 | | | | | | | | | (35), (36), (38), (57), (58) gives:
% 97.11/13.40 | | | | | | | | | (125) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 97.11/13.40 | | | | | | | | | (apply(all_32_7, all_41_0, all_51_0) = v1 &
% 97.11/13.40 | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = v0 & ( ~ (v1
% 97.11/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.11/13.40 | | | | | | | | |
% 97.11/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.11/13.40 | | | | | | | | | all_32_3, all_41_0, all_51_0, all_41_2,
% 97.11/13.40 | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.11/13.40 | | | | | | | | | (35), (36), (38), (57), (58) gives:
% 97.11/13.40 | | | | | | | | | (126) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 97.11/13.40 | | | | | | | | | (apply(all_32_7, all_41_0, all_51_0) = v0 &
% 97.11/13.40 | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = v1 & ( ~ (v1
% 97.11/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.11/13.40 | | | | | | | | |
% 97.11/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.11/13.40 | | | | | | | | | all_32_4, all_51_0, all_53_0, all_41_0,
% 97.11/13.40 | | | | | | | | | simplifying with (14), (15), (16), (21), (35),
% 97.11/13.40 | | | | | | | | | (38), (57), (58), (61), (62) gives:
% 97.11/13.40 | | | | | | | | | (127) all_53_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.11/13.40 | | | | | | | | | (apply(all_32_5, all_51_0, all_53_0) = v0 &
% 97.11/13.40 | | | | | | | | | apply(all_32_5, all_51_0, all_41_0) = v1 & ( ~ (v1
% 97.11/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.11/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_51_0, all_41_0, all_53_0,
% 97.24/13.40 | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.24/13.40 | | | | | | | | | (38), (57), (58), (61), (62) gives:
% 97.24/13.40 | | | | | | | | | (128) all_53_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_6, all_51_0, all_53_0) = v1 &
% 97.24/13.40 | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = v0 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_51_0, all_53_0, all_41_0,
% 97.24/13.40 | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.24/13.40 | | | | | | | | | (38), (57), (58), (61), (62) gives:
% 97.24/13.40 | | | | | | | | | (129) all_53_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_6, all_51_0, all_53_0) = v0 &
% 97.24/13.40 | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = v1 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_41_2, all_53_0, all_41_1,
% 97.24/13.40 | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.24/13.40 | | | | | | | | | (34), (36), (37), (61), (62) gives:
% 97.24/13.40 | | | | | | | | | (130) all_53_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_6, all_41_2, all_53_0) = v0 &
% 97.24/13.40 | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v1 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_49_0, all_41_1, all_53_0,
% 97.24/13.40 | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.24/13.40 | | | | | | | | | (37), (54), (55), (61), (62) gives:
% 97.24/13.40 | | | | | | | | | (131) all_53_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_6, all_49_0, all_53_0) = v1 &
% 97.24/13.40 | | | | | | | | | apply(all_32_6, all_49_0, all_41_1) = v0 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_41_2, all_55_0, all_41_0,
% 97.24/13.40 | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.24/13.40 | | | | | | | | | (35), (40), (65), (66) gives:
% 97.24/13.40 | | | | | | | | | (132) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | ? [v2: any] : (apply(all_32_5, all_41_2, all_55_0) =
% 97.24/13.40 | | | | | | | | | v2 & member(all_41_0, all_32_4) = v1 &
% 97.24/13.40 | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) | ~
% 97.24/13.40 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_41_2, all_41_0, all_55_0,
% 97.24/13.40 | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.24/13.40 | | | | | | | | | (35), (36), (38), (65), (66) gives:
% 97.24/13.40 | | | | | | | | | (133) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_5, all_41_2, all_55_0) = v1 &
% 97.24/13.40 | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = v0 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.40 | | | | | | | | | all_32_4, all_51_0, all_55_0, all_41_0,
% 97.24/13.40 | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.24/13.40 | | | | | | | | | (38), (57), (58), (65), (66) gives:
% 97.24/13.40 | | | | | | | | | (134) all_55_0 = all_41_0 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_6, all_51_0, all_55_0) = v0 &
% 97.24/13.40 | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = v1 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.24/13.40 | | | | | | | | | all_32_3, all_55_0, all_51_0, all_41_2,
% 97.24/13.40 | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.24/13.40 | | | | | | | | | (36), (57), (58), (65), (66) gives:
% 97.24/13.40 | | | | | | | | | (135) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_7, all_55_0, all_51_0) = v0 &
% 97.24/13.40 | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = v1 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.24/13.40 | | | | | | | | | all_32_3, all_55_0, all_41_2, all_51_0,
% 97.24/13.40 | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.24/13.40 | | | | | | | | | (36), (57), (58), (65), (66) gives:
% 97.24/13.40 | | | | | | | | | (136) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 97.24/13.40 | | | | | | | | | (apply(all_32_7, all_55_0, all_51_0) = v1 &
% 97.24/13.40 | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = v0 & ( ~ (v1
% 97.24/13.40 | | | | | | | | | = 0) | ~ (v0 = 0)))
% 97.24/13.40 | | | | | | | | |
% 97.24/13.40 | | | | | | | | | GROUND_INST: instantiating (1) with all_32_7, all_32_4,
% 97.24/13.40 | | | | | | | | | all_32_3, all_55_0, simplifying with (12), (15),
% 97.24/13.40 | | | | | | | | | (16), (19), (65), (66) gives:
% 97.24/13.41 | | | | | | | | | (137) ? [v0: $i] : (apply(all_32_7, all_55_0, v0) = 0 &
% 97.24/13.41 | | | | | | | | | member(v0, all_32_3) = 0 & $i(v0))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | GROUND_INST: instantiating (3) with all_32_7, all_32_4,
% 97.24/13.41 | | | | | | | | | all_32_3, all_41_0, all_41_2, all_51_0,
% 97.24/13.41 | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.24/13.41 | | | | | | | | | (35), (36), (57), (59) gives:
% 97.24/13.41 | | | | | | | | | (138) all_51_0 = all_41_2 | ? [v0: any] : ? [v1: any] :
% 97.24/13.41 | | | | | | | | | ? [v2: any] : (apply(all_32_7, all_41_0, all_41_2) =
% 97.24/13.41 | | | | | | | | | v2 & member(all_51_0, all_32_3) = v1 &
% 97.24/13.41 | | | | | | | | | member(all_41_0, all_32_4) = v0 & ( ~ (v2 = 0) | ~
% 97.24/13.41 | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | GROUND_INST: instantiating (4) with all_32_6, all_32_3,
% 97.24/13.41 | | | | | | | | | all_32_4, all_41_2, all_53_0, all_41_1,
% 97.24/13.41 | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.24/13.41 | | | | | | | | | (34), (39), (61), (63) gives:
% 97.24/13.41 | | | | | | | | | (139) all_53_0 = all_41_1 | ? [v0: any] : ? [v1: any] :
% 97.24/13.41 | | | | | | | | | ? [v2: any] : (member(all_53_0, all_32_4) = v1 &
% 97.24/13.41 | | | | | | | | | member(all_41_1, all_32_4) = v2 & member(all_41_2,
% 97.24/13.41 | | | | | | | | | all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~
% 97.24/13.41 | | | | | | | | | (v0 = 0)))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | GROUND_INST: instantiating (5) with all_32_6, all_32_7,
% 97.24/13.41 | | | | | | | | | all_32_4, all_32_3, all_32_4, all_41_0, all_41_0,
% 97.24/13.41 | | | | | | | | | all_32_2, simplifying with (12), (13), (15), (16),
% 97.24/13.41 | | | | | | | | | (23), (35), (50) gives:
% 97.24/13.41 | | | | | | | | | (140) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 97.24/13.41 | | | | | | | | | int] : ? [v4: int] : ? [v5: int] : ($i(v2) & ((v5
% 97.24/13.41 | | | | | | | | | = 0 & v4 = 0 & v3 = 0 & apply(all_32_6, v2,
% 97.24/13.41 | | | | | | | | | all_41_0) = 0 & apply(all_32_7, all_41_0, v2)
% 97.24/13.41 | | | | | | | | | = 0 & member(v2, all_32_3) = 0) |
% 97.24/13.41 | | | | | | | | | (member(all_41_0, all_32_4) = v1 &
% 97.24/13.41 | | | | | | | | | member(all_41_0, all_32_4) = v0 & ( ~ (v1 = 0)
% 97.24/13.41 | | | | | | | | | | ~ (v0 = 0)))))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | GROUND_INST: instantiating (5) with all_32_7, all_32_5,
% 97.24/13.41 | | | | | | | | | all_32_3, all_32_4, all_32_3, all_41_2, all_41_2,
% 97.24/13.41 | | | | | | | | | all_32_1, simplifying with (12), (14), (15), (16),
% 97.24/13.41 | | | | | | | | | (22), (33), (43) gives:
% 97.24/13.41 | | | | | | | | | (141) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 97.24/13.41 | | | | | | | | | int] : ? [v4: int] : ? [v5: int] : ($i(v2) & ((v5
% 97.24/13.41 | | | | | | | | | = 0 & v4 = 0 & v3 = 0 & apply(all_32_5,
% 97.24/13.41 | | | | | | | | | all_41_2, v2) = 0 & apply(all_32_7, v2,
% 97.24/13.41 | | | | | | | | | all_41_2) = 0 & member(v2, all_32_4) = 0) |
% 97.24/13.41 | | | | | | | | | (member(all_41_2, all_32_3) = v1 &
% 97.24/13.41 | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v1 = 0)
% 97.24/13.41 | | | | | | | | | | ~ (v0 = 0)))))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (123) with fresh symbol all_108_0 gives:
% 97.24/13.41 | | | | | | | | | (142) apply(all_32_5, all_51_0, all_108_0) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_108_0, all_32_4) = 0 & $i(all_108_0)
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (142) implies:
% 97.24/13.41 | | | | | | | | | (143) $i(all_108_0)
% 97.24/13.41 | | | | | | | | | (144) member(all_108_0, all_32_4) = 0
% 97.24/13.41 | | | | | | | | | (145) apply(all_32_5, all_51_0, all_108_0) = 0
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (122) with fresh symbol all_110_0 gives:
% 97.24/13.41 | | | | | | | | | (146) apply(all_32_5, all_49_0, all_110_0) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_110_0, all_32_4) = 0 & $i(all_110_0)
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (146) implies:
% 97.24/13.41 | | | | | | | | | (147) $i(all_110_0)
% 97.24/13.41 | | | | | | | | | (148) member(all_110_0, all_32_4) = 0
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (137) with fresh symbol all_112_0 gives:
% 97.24/13.41 | | | | | | | | | (149) apply(all_32_7, all_55_0, all_112_0) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_112_0, all_32_3) = 0 & $i(all_112_0)
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (149) implies:
% 97.24/13.41 | | | | | | | | | (150) $i(all_112_0)
% 97.24/13.41 | | | | | | | | | (151) member(all_112_0, all_32_3) = 0
% 97.24/13.41 | | | | | | | | | (152) apply(all_32_7, all_55_0, all_112_0) = 0
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (124) with fresh symbol all_116_0 gives:
% 97.24/13.41 | | | | | | | | | (153) apply(all_32_6, all_51_0, all_116_0) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_116_0, all_32_4) = 0 & $i(all_116_0)
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (153) implies:
% 97.24/13.41 | | | | | | | | | (154) $i(all_116_0)
% 97.24/13.41 | | | | | | | | | (155) member(all_116_0, all_32_4) = 0
% 97.24/13.41 | | | | | | | | | (156) apply(all_32_6, all_51_0, all_116_0) = 0
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (141) with fresh symbols all_118_0,
% 97.24/13.41 | | | | | | | | | all_118_1, all_118_2, all_118_3, all_118_4, all_118_5
% 97.24/13.41 | | | | | | | | | gives:
% 97.24/13.41 | | | | | | | | | (157) $i(all_118_3) & ((all_118_0 = 0 & all_118_1 = 0 &
% 97.24/13.41 | | | | | | | | | all_118_2 = 0 & apply(all_32_5, all_41_2,
% 97.24/13.41 | | | | | | | | | all_118_3) = 0 & apply(all_32_7, all_118_3,
% 97.24/13.41 | | | | | | | | | all_41_2) = 0 & member(all_118_3, all_32_4) =
% 97.24/13.41 | | | | | | | | | 0) | (member(all_41_2, all_32_3) = all_118_4 &
% 97.24/13.41 | | | | | | | | | member(all_41_2, all_32_3) = all_118_5 & ( ~
% 97.24/13.41 | | | | | | | | | (all_118_4 = 0) | ~ (all_118_5 = 0))))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (157) implies:
% 97.24/13.41 | | | | | | | | | (158) $i(all_118_3)
% 97.24/13.41 | | | | | | | | | (159) (all_118_0 = 0 & all_118_1 = 0 & all_118_2 = 0 &
% 97.24/13.41 | | | | | | | | | apply(all_32_5, all_41_2, all_118_3) = 0 &
% 97.24/13.41 | | | | | | | | | apply(all_32_7, all_118_3, all_41_2) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_118_3, all_32_4) = 0) |
% 97.24/13.41 | | | | | | | | | (member(all_41_2, all_32_3) = all_118_4 &
% 97.24/13.41 | | | | | | | | | member(all_41_2, all_32_3) = all_118_5 & ( ~
% 97.24/13.41 | | | | | | | | | (all_118_4 = 0) | ~ (all_118_5 = 0)))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | DELTA: instantiating (140) with fresh symbols all_120_0,
% 97.24/13.41 | | | | | | | | | all_120_1, all_120_2, all_120_3, all_120_4, all_120_5
% 97.24/13.41 | | | | | | | | | gives:
% 97.24/13.41 | | | | | | | | | (160) $i(all_120_3) & ((all_120_0 = 0 & all_120_1 = 0 &
% 97.24/13.41 | | | | | | | | | all_120_2 = 0 & apply(all_32_6, all_120_3,
% 97.24/13.41 | | | | | | | | | all_41_0) = 0 & apply(all_32_7, all_41_0,
% 97.24/13.41 | | | | | | | | | all_120_3) = 0 & member(all_120_3, all_32_3) =
% 97.24/13.41 | | | | | | | | | 0) | (member(all_41_0, all_32_4) = all_120_4 &
% 97.24/13.41 | | | | | | | | | member(all_41_0, all_32_4) = all_120_5 & ( ~
% 97.24/13.41 | | | | | | | | | (all_120_4 = 0) | ~ (all_120_5 = 0))))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | ALPHA: (160) implies:
% 97.24/13.41 | | | | | | | | | (161) $i(all_120_3)
% 97.24/13.41 | | | | | | | | | (162) (all_120_0 = 0 & all_120_1 = 0 & all_120_2 = 0 &
% 97.24/13.41 | | | | | | | | | apply(all_32_6, all_120_3, all_41_0) = 0 &
% 97.24/13.41 | | | | | | | | | apply(all_32_7, all_41_0, all_120_3) = 0 &
% 97.24/13.41 | | | | | | | | | member(all_120_3, all_32_3) = 0) |
% 97.24/13.41 | | | | | | | | | (member(all_41_0, all_32_4) = all_120_4 &
% 97.24/13.41 | | | | | | | | | member(all_41_0, all_32_4) = all_120_5 & ( ~
% 97.24/13.41 | | | | | | | | | (all_120_4 = 0) | ~ (all_120_5 = 0)))
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | BETA: splitting (133) gives:
% 97.24/13.41 | | | | | | | | |
% 97.24/13.41 | | | | | | | | | Case 1:
% 97.24/13.41 | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | (163) all_55_0 = all_41_0
% 97.24/13.41 | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | REDUCE: (152), (163) imply:
% 97.24/13.41 | | | | | | | | | | (164) apply(all_32_7, all_41_0, all_112_0) = 0
% 97.24/13.41 | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | BETA: splitting (130) gives:
% 97.24/13.41 | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | Case 1:
% 97.24/13.41 | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | (165) all_53_0 = all_41_1
% 97.24/13.41 | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | BETA: splitting (162) gives:
% 97.24/13.41 | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | Case 1:
% 97.24/13.41 | | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | | (166) all_120_0 = 0 & all_120_1 = 0 & all_120_2 = 0 &
% 97.24/13.41 | | | | | | | | | | | | apply(all_32_6, all_120_3, all_41_0) = 0 &
% 97.24/13.41 | | | | | | | | | | | | apply(all_32_7, all_41_0, all_120_3) = 0 &
% 97.24/13.41 | | | | | | | | | | | | member(all_120_3, all_32_3) = 0
% 97.24/13.41 | | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | | ALPHA: (166) implies:
% 97.24/13.41 | | | | | | | | | | | | (167) member(all_120_3, all_32_3) = 0
% 97.24/13.41 | | | | | | | | | | | | (168) apply(all_32_7, all_41_0, all_120_3) = 0
% 97.24/13.41 | | | | | | | | | | | | (169) apply(all_32_6, all_120_3, all_41_0) = 0
% 97.24/13.41 | | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | | BETA: splitting (159) gives:
% 97.24/13.41 | | | | | | | | | | | |
% 97.24/13.41 | | | | | | | | | | | | Case 1:
% 97.24/13.41 | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | (170) all_118_0 = 0 & all_118_1 = 0 & all_118_2 = 0 &
% 97.24/13.42 | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_118_3) = 0 &
% 97.24/13.42 | | | | | | | | | | | | | apply(all_32_7, all_118_3, all_41_2) = 0 &
% 97.24/13.42 | | | | | | | | | | | | | member(all_118_3, all_32_4) = 0
% 97.24/13.42 | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | ALPHA: (170) implies:
% 97.24/13.42 | | | | | | | | | | | | | (171) member(all_118_3, all_32_4) = 0
% 97.24/13.42 | | | | | | | | | | | | | (172) apply(all_32_7, all_118_3, all_41_2) = 0
% 97.24/13.42 | | | | | | | | | | | | | (173) apply(all_32_5, all_41_2, all_118_3) = 0
% 97.24/13.42 | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | BETA: splitting (129) gives:
% 97.24/13.42 | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | Case 1:
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | (174) all_53_0 = all_41_0
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | COMBINE_EQS: (165), (174) imply:
% 97.24/13.42 | | | | | | | | | | | | | | (175) all_41_0 = all_41_1
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | SIMP: (175) implies:
% 97.24/13.42 | | | | | | | | | | | | | | (176) all_41_0 = all_41_1
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | REDUCE: (32), (176) imply:
% 97.24/13.42 | | | | | | | | | | | | | | (177) $false
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | CLOSE: (177) is inconsistent.
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | Case 2:
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | (178) ~ (all_53_0 = all_41_0)
% 97.24/13.42 | | | | | | | | | | | | | | (179) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.24/13.42 | | | | | | | | | | | | | | all_51_0, all_53_0) = v0 & apply(all_32_6,
% 97.24/13.42 | | | | | | | | | | | | | | all_51_0, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.24/13.42 | | | | | | | | | | | | | | (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_158_0,
% 97.24/13.42 | | | | | | | | | | | | | | all_158_1 gives:
% 97.24/13.42 | | | | | | | | | | | | | | (180) apply(all_32_6, all_51_0, all_53_0) = all_158_1 &
% 97.24/13.42 | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_158_0 &
% 97.24/13.42 | | | | | | | | | | | | | | ( ~ (all_158_0 = 0) | ~ (all_158_1 = 0))
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | ALPHA: (180) implies:
% 97.24/13.42 | | | | | | | | | | | | | | (181) apply(all_32_6, all_51_0, all_41_0) = all_158_0
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | REDUCE: (165), (178) imply:
% 97.24/13.42 | | | | | | | | | | | | | | (182) ~ (all_41_0 = all_41_1)
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 97.24/13.42 | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | Case 1:
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | (183) all_53_0 = all_41_0
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | COMBINE_EQS: (165), (183) imply:
% 97.24/13.42 | | | | | | | | | | | | | | | (184) all_41_0 = all_41_1
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | SIMP: (184) implies:
% 97.24/13.42 | | | | | | | | | | | | | | | (185) all_41_0 = all_41_1
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | REDUCE: (32), (185) imply:
% 97.24/13.42 | | | | | | | | | | | | | | | (186) $false
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | CLOSE: (186) is inconsistent.
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | Case 2:
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | (187) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.24/13.42 | | | | | | | | | | | | | | | all_51_0, all_53_0) = v1 & apply(all_32_6,
% 97.24/13.42 | | | | | | | | | | | | | | | all_51_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.24/13.42 | | | | | | | | | | | | | | | (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | DELTA: instantiating (187) with fresh symbols all_163_0,
% 97.24/13.42 | | | | | | | | | | | | | | | all_163_1 gives:
% 97.24/13.42 | | | | | | | | | | | | | | | (188) apply(all_32_6, all_51_0, all_53_0) = all_163_0 &
% 97.24/13.42 | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_163_1 &
% 97.24/13.42 | | | | | | | | | | | | | | | ( ~ (all_163_0 = 0) | ~ (all_163_1 = 0))
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 97.24/13.42 | | | | | | | | | | | | | | | (189) apply(all_32_6, all_51_0, all_41_0) = all_163_1
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 97.24/13.42 | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | Case 1:
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | (190) all_53_0 = all_41_0
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (190) imply:
% 97.24/13.42 | | | | | | | | | | | | | | | | (191) all_41_0 = all_41_1
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | REDUCE: (32), (191) imply:
% 97.24/13.42 | | | | | | | | | | | | | | | | (192) $false
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | CLOSE: (192) is inconsistent.
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | Case 2:
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_158_0, all_163_1,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.24/13.42 | | | | | | | | | | | | | | | | (181), (189) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (193) all_163_1 = all_158_0
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_108_0, all_41_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.24/13.42 | | | | | | | | | | | | | | | | (35), (40), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (194) all_108_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_5, all_41_2,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_108_0) = v2 & member(all_41_0, all_32_4) =
% 97.24/13.42 | | | | | | | | | | | | | | | | v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 =
% 97.24/13.42 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_41_0, all_108_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (35),
% 97.24/13.42 | | | | | | | | | | | | | | | | (38), (57), (58), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (195) all_108_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_5, all_51_0, all_108_0) = v1 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_5, all_51_0, all_41_0) = v0 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_41_0, all_108_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.24/13.42 | | | | | | | | | | | | | | | | (35), (36), (38), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (196) all_108_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_5, all_41_2, all_108_0) = v1 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = v0 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_108_0, all_41_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.24/13.42 | | | | | | | | | | | | | | | | (35), (36), (38), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (197) all_108_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_5, all_41_2, all_108_0) = v0 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = v1 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_108_0, all_41_1,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (34),
% 97.24/13.42 | | | | | | | | | | | | | | | | (37), (57), (58), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (198) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_5, all_51_0, all_108_0) = v0 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_5, all_51_0, all_41_1) = v1 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_41_1, all_108_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.24/13.42 | | | | | | | | | | | | | | | | (34), (36), (37), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (199) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_108_0) = v1 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v0 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_108_0, all_41_1,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.24/13.42 | | | | | | | | | | | | | | | | (34), (36), (37), (143), (144) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (200) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_108_0) = v0 &
% 97.24/13.42 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v1 & ( ~
% 97.24/13.42 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_7, all_32_4,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_112_0, all_51_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.24/13.42 | | | | | | | | | | | | | | | | (57), (59), (150), (151) gives:
% 97.24/13.42 | | | | | | | | | | | | | | | | (201) all_112_0 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.24/13.42 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_7, all_41_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_112_0) = v2 & member(all_51_0, all_32_3) =
% 97.24/13.42 | | | | | | | | | | | | | | | | v1 & member(all_41_0, all_32_4) = v0 & ( ~ (v2 =
% 97.24/13.42 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.24/13.42 | | | | | | | | | | | | | | | |
% 97.24/13.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.24/13.42 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_112_0, all_51_0,
% 97.24/13.42 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.24/13.42 | | | | | | | | | | | | | | | | (38), (57), (58), (150), (151) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (202) all_112_0 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_41_0, all_112_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_51_0) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_41_2, all_112_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (36), (38), (150), (151) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (203) all_112_0 = all_41_2 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_41_0, all_112_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_112_0, all_41_2,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (36), (38), (150), (151) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (204) all_112_0 = all_41_2 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_41_0, all_112_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_116_0, all_41_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (40), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (205) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_5, all_41_2,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_116_0) = v2 & member(all_41_0, all_32_4) =
% 97.36/13.43 | | | | | | | | | | | | | | | | v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 =
% 97.36/13.43 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_5, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_116_0, all_41_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (36), (38), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (206) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_5, all_41_2, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_116_0, all_41_1,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (34), (39), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (207) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_6, all_41_2,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_116_0) = v2 & member(all_41_1, all_32_4) =
% 97.36/13.43 | | | | | | | | | | | | | | | | v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 =
% 97.36/13.43 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_41_0, all_116_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.43 | | | | | | | | | | | | | | | | (38), (57), (58), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (208) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_51_0, all_116_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_116_0, all_41_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.43 | | | | | | | | | | | | | | | | (38), (57), (58), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (209) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_51_0, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_41_0, all_116_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (36), (38), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (210) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_116_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_116_0, all_41_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (35), (36), (38), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (211) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_112_0, all_41_0, all_116_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.43 | | | | | | | | | | | | | | | | (38), (150), (151), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (212) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_112_0, all_116_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_112_0, all_41_0) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_112_0, all_116_0, all_41_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.43 | | | | | | | | | | | | | | | | (38), (150), (151), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (213) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_112_0, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_112_0, all_41_0) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_41_1, all_116_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.36/13.43 | | | | | | | | | | | | | | | | (37), (57), (58), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (214) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_51_0, all_116_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_116_0, all_41_1,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.36/13.43 | | | | | | | | | | | | | | | | (37), (57), (58), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (215) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_51_0, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_41_1, all_116_0,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (34), (36), (37), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (216) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_116_0) = v1 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v0 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.43 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.43 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_116_0, all_41_1,
% 97.36/13.43 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (33),
% 97.36/13.43 | | | | | | | | | | | | | | | | (34), (36), (37), (154), (155) gives:
% 97.36/13.43 | | | | | | | | | | | | | | | | (217) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.43 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_41_2, all_116_0) = v0 &
% 97.36/13.43 | | | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = v1 & ( ~
% 97.36/13.43 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.43 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_112_0, all_41_1, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.36/13.44 | | | | | | | | | | | | | | | | (37), (150), (151), (154), (155) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (218) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_112_0, all_116_0) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_6, all_112_0, all_41_1) = v0 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_112_0, all_116_0, all_41_1,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.36/13.44 | | | | | | | | | | | | | | | | (37), (150), (151), (154), (155) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (219) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_112_0, all_116_0) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_6, all_112_0, all_41_1) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_108_0, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (57),
% 97.36/13.44 | | | | | | | | | | | | | | | | (58), (143), (144), (154), (155) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (220) all_116_0 = all_108_0 | ? [v0: any] : ? [v1:
% 97.36/13.44 | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_51_0, all_116_0) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v1 & apply(all_32_6, all_51_0, all_108_0) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_116_0, all_108_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (57),
% 97.36/13.44 | | | | | | | | | | | | | | | | (58), (143), (144), (154), (155) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (221) all_116_0 = all_108_0 | ? [v0: any] : ? [v1:
% 97.36/13.44 | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_51_0, all_116_0) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_51_0, all_108_0) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_116_0, all_41_2, all_112_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.36/13.44 | | | | | | | | | | | | | | | | (36), (150), (151), (154), (155) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (222) all_112_0 = all_41_2 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_116_0, all_112_0) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_116_0, all_41_2) = v0 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_112_0, all_118_3, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (150),
% 97.36/13.44 | | | | | | | | | | | | | | | | (151), (154), (155), (158), (171) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (223) all_118_3 = all_116_0 | ? [v0: any] : ? [v1:
% 97.36/13.44 | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_112_0, all_118_3) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_112_0, all_116_0) = v1
% 97.36/13.44 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_116_0, all_41_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.44 | | | | | | | | | | | | | | | | (38), (154), (155), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (224) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_120_3, all_116_0) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_6, all_120_3, all_41_0) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_41_0, all_41_1,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (34),
% 97.36/13.44 | | | | | | | | | | | | | | | | (35), (37), (38), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (225) all_41_0 = all_41_1 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_120_3, all_41_0) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_6, all_120_3, all_41_1) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_41_0, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.44 | | | | | | | | | | | | | | | | (38), (154), (155), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (226) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_6, all_120_3, all_116_0) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_6, all_120_3, all_41_0) = v0 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_118_3, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (154),
% 97.36/13.44 | | | | | | | | | | | | | | | | (155), (158), (161), (167), (171) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (227) all_118_3 = all_116_0 | ? [v0: any] : ? [v1:
% 97.36/13.44 | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_120_3, all_118_3) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v0 & apply(all_32_6, all_120_3, all_116_0) = v1
% 97.36/13.44 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_6, all_32_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_108_0, all_116_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (143),
% 97.36/13.44 | | | | | | | | | | | | | | | | (144), (154), (155), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (228) all_116_0 = all_108_0 | ? [v0: any] : ? [v1:
% 97.36/13.44 | | | | | | | | | | | | | | | | any] : (apply(all_32_6, all_120_3, all_116_0) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v1 & apply(all_32_6, all_120_3, all_108_0) = v0
% 97.36/13.44 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_120_3, all_51_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.36/13.44 | | | | | | | | | | | | | | | | (57), (59), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (229) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_7, all_41_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_120_3) = v2 & member(all_51_0, all_32_3) =
% 97.36/13.44 | | | | | | | | | | | | | | | | v1 & member(all_41_0, all_32_4) = v0 & ( ~ (v2 =
% 97.36/13.44 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_51_0, all_120_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.36/13.44 | | | | | | | | | | | | | | | | (38), (57), (58), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (230) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_41_0, all_120_3) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_51_0) = v0 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_120_3, all_51_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.36/13.44 | | | | | | | | | | | | | | | | (38), (57), (58), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (231) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_41_0, all_120_3) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_51_0) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_118_3, all_51_0, all_120_3,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (57),
% 97.36/13.44 | | | | | | | | | | | | | | | | (58), (158), (161), (167), (171) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (232) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_118_3, all_120_3) = v1 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_118_3, all_51_0) = v0 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_118_3, all_120_3, all_51_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (57),
% 97.36/13.44 | | | | | | | | | | | | | | | | (58), (158), (161), (167), (171) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (233) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_118_3, all_120_3) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_118_3, all_51_0) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.44 | | | | | | | | | | | | | | | | all_32_3, all_110_0, all_120_3, all_51_0,
% 97.36/13.44 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (57),
% 97.36/13.44 | | | | | | | | | | | | | | | | (58), (147), (148), (161), (167) gives:
% 97.36/13.44 | | | | | | | | | | | | | | | | (234) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.44 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_110_0, all_120_3) = v0 &
% 97.36/13.44 | | | | | | | | | | | | | | | | apply(all_32_7, all_110_0, all_51_0) = v1 & ( ~
% 97.36/13.44 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.44 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_118_3, all_120_3, all_41_2,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.36/13.45 | | | | | | | | | | | | | | | | (36), (158), (161), (167), (171) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (235) all_120_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 97.36/13.45 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_118_3, all_120_3) = v0 &
% 97.36/13.45 | | | | | | | | | | | | | | | | apply(all_32_7, all_118_3, all_41_2) = v1 & ( ~
% 97.36/13.45 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_108_0, all_41_2, all_120_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (33),
% 97.36/13.45 | | | | | | | | | | | | | | | | (36), (143), (144), (161), (167) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (236) all_120_3 = all_41_2 | ? [v0: any] : ? [v1: any]
% 97.36/13.45 | | | | | | | | | | | | | | | | : (apply(all_32_7, all_108_0, all_120_3) = v1 &
% 97.36/13.45 | | | | | | | | | | | | | | | | apply(all_32_7, all_108_0, all_41_2) = v0 & ( ~
% 97.36/13.45 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_112_0, all_120_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.36/13.45 | | | | | | | | | | | | | | | | (38), (150), (151), (161), (167) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (237) all_120_3 = all_112_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_41_0, all_120_3) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v1 & apply(all_32_7, all_41_0, all_112_0) = v0 &
% 97.36/13.45 | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_41_0, all_120_3, all_112_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (35),
% 97.36/13.45 | | | | | | | | | | | | | | | | (38), (150), (151), (161), (167) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (238) all_120_3 = all_112_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_41_0, all_120_3) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v0 & apply(all_32_7, all_41_0, all_112_0) = v1 &
% 97.36/13.45 | | | | | | | | | | | | | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_118_3, all_112_0, all_120_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (150),
% 97.36/13.45 | | | | | | | | | | | | | | | | (151), (158), (161), (167), (171) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (239) all_120_3 = all_112_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_118_3, all_120_3) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v1 & apply(all_32_7, all_118_3, all_112_0) = v0
% 97.36/13.45 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_118_3, all_120_3, all_112_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (150),
% 97.36/13.45 | | | | | | | | | | | | | | | | (151), (158), (161), (167), (171) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (240) all_120_3 = all_112_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_118_3, all_120_3) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v0 & apply(all_32_7, all_118_3, all_112_0) = v1
% 97.36/13.45 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_32_7, all_32_4,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_3, all_108_0, all_120_3, all_112_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (12), (15), (16), (19), (143),
% 97.36/13.45 | | | | | | | | | | | | | | | | (144), (150), (151), (161), (167) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (241) all_120_3 = all_112_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : (apply(all_32_7, all_108_0, all_120_3) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v0 & apply(all_32_7, all_108_0, all_112_0) = v1
% 97.36/13.45 | | | | | | | | | | | | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_6, all_32_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_4, all_120_3, all_116_0, all_41_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (13), (15), (16), (20), (35),
% 97.36/13.45 | | | | | | | | | | | | | | | | (154), (155), (161), (169) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (242) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.45 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_6, all_120_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_116_0) = v2 & member(all_120_3, all_32_3)
% 97.36/13.45 | | | | | | | | | | | | | | | | = v0 & member(all_41_0, all_32_4) = v1 & ( ~ (v2
% 97.36/13.45 | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_32_5, all_32_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_118_3, all_41_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.36/13.45 | | | | | | | | | | | | | | | | (35), (40), (158), (173) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (243) all_118_3 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.45 | | | | | | | | | | | | | | | | : ? [v2: any] : (member(all_118_3, all_32_4) = v1
% 97.36/13.45 | | | | | | | | | | | | | | | | & member(all_41_0, all_32_4) = v2 &
% 97.36/13.45 | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.45 | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_4, all_41_2, all_108_0, all_118_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (33),
% 97.36/13.45 | | | | | | | | | | | | | | | | (143), (144), (158), (173) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (244) all_118_3 = all_108_0 | ? [v0: any] : ? [v1:
% 97.36/13.45 | | | | | | | | | | | | | | | | any] : ? [v2: any] : (apply(all_32_5, all_41_2,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_108_0) = v2 & member(all_118_3, all_32_4)
% 97.36/13.45 | | | | | | | | | | | | | | | | = v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2
% 97.36/13.45 | | | | | | | | | | | | | | | | = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_32_5, all_32_3,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_32_4, all_51_0, all_41_0, all_108_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | simplifying with (14), (15), (16), (21), (35),
% 97.36/13.45 | | | | | | | | | | | | | | | | (38), (57), (143), (145) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | (245) all_108_0 = all_41_0 | ? [v0: any] : ? [v1: any]
% 97.36/13.45 | | | | | | | | | | | | | | | | : ? [v2: any] : (apply(all_32_5, all_51_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | all_41_0) = v2 & member(all_108_0, all_32_4) =
% 97.36/13.45 | | | | | | | | | | | | | | | | v1 & member(all_51_0, all_32_3) = v0 & ( ~ (v2 =
% 97.36/13.45 | | | | | | | | | | | | | | | | 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.45 | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | (246) all_112_0 = all_51_0
% 97.36/13.45 | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (247) all_41_0 = all_41_1
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | REDUCE: (32), (247) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (248) $false
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (249) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.45 | | | | | | | | | | | | | | | | | | all_120_3, all_41_0) = v0 & apply(all_32_6,
% 97.36/13.45 | | | | | | | | | | | | | | | | | | all_120_3, all_41_1) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | DELTA: instantiating (249) with fresh symbols all_259_0,
% 97.36/13.45 | | | | | | | | | | | | | | | | | | all_259_1 gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (250) apply(all_32_6, all_120_3, all_41_0) = all_259_1 &
% 97.36/13.45 | | | | | | | | | | | | | | | | | | apply(all_32_6, all_120_3, all_41_1) = all_259_0 &
% 97.36/13.45 | | | | | | | | | | | | | | | | | | ( ~ (all_259_0 = 0) | ~ (all_259_1 = 0))
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | (251) apply(all_32_6, all_120_3, all_41_0) = all_259_1
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | (252) all_118_3 = all_41_0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | REDUCE: (172), (252) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | (253) apply(all_32_7, all_41_0, all_41_2) = 0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | (254) all_51_0 = all_41_2
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (254) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | (255) all_112_0 = all_41_2
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (254) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | (256) apply(all_32_5, all_41_2, all_108_0) = 0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (254) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | (257) apply(all_32_6, all_41_2, all_116_0) = 0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (254) imply:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | (258) apply(all_32_6, all_41_2, all_41_0) = all_158_0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (259) all_108_0 = all_41_0
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (259) are inconsistent by
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.45 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (260) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | all_41_2, all_108_0) = v0 & apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (260) with fresh symbols all_277_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | all_277_1 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (261) apply(all_32_5, all_41_2, all_108_0) = all_277_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = all_277_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_277_0 = 0) | ~ (all_277_1 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (262) apply(all_32_5, all_41_2, all_41_0) = all_277_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (263) apply(all_32_5, all_41_2, all_108_0) = all_277_1
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | (264) ~ (all_277_0 = 0) | ~ (all_277_1 = 0)
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (265) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (265) are inconsistent by
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (266) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_5, all_51_0, all_41_0) = v2 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | member(all_108_0, all_32_4) = v1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (266) with fresh symbols all_324_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | all_324_1, all_324_2 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (267) apply(all_32_5, all_51_0, all_41_0) = all_324_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | member(all_108_0, all_32_4) = all_324_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = all_324_2 & ( ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (all_324_0 = 0) | ~ (all_324_1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (all_324_2 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (268) apply(all_32_5, all_51_0, all_41_0) = all_324_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (268) imply:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | (269) apply(all_32_5, all_41_2, all_41_0) = all_324_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (270) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (270) are inconsistent by
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (271) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_108_0) = v1 & apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (271) with fresh symbols all_330_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | all_330_1 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (272) apply(all_32_5, all_41_2, all_108_0) = all_330_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = all_330_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_330_0 = 0) | ~ (all_330_1 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (273) apply(all_32_5, all_41_2, all_41_0) = all_330_1
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | (274) apply(all_32_5, all_41_2, all_108_0) = all_330_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (275) all_118_3 = all_108_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (275) imply:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (276) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (276) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (277) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (277) are inconsistent by
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (278) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_5, all_41_2, all_108_0) = v2 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | member(all_118_3, all_32_4) = v1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (278) with fresh symbols all_462_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | all_462_1, all_462_2 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (279) apply(all_32_5, all_41_2, all_108_0) = all_462_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | member(all_118_3, all_32_4) = all_462_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = all_462_2 & ( ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_462_0 = 0) | ~ (all_462_1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_462_2 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | (280) apply(all_32_5, all_41_2, all_108_0) = all_462_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (281) are inconsistent by
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (282) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_108_0) = v1 & apply(all_32_5,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_480_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_480_1 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (283) apply(all_32_5, all_51_0, all_108_0) = all_480_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_5, all_51_0, all_41_0) = all_480_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_480_0 = 0) | ~ (all_480_1 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (284) apply(all_32_5, all_51_0, all_41_0) = all_480_1
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (285) apply(all_32_5, all_51_0, all_108_0) = all_480_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (285) imply:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (286) apply(all_32_5, all_41_2, all_108_0) = all_480_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (284) imply:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | (287) apply(all_32_5, all_41_2, all_41_0) = all_480_1
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (288) all_108_0 = all_41_0
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (32), (36), (38), (78), (121), (168),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (198), (199), (200), (207), (208), (209),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (224), (226),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (241), (251), (252), (254),
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (258), (288) are inconsistent by
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (289) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_5, all_41_2, all_108_0) = v2 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (289) with fresh symbols all_486_0,
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | all_486_1, all_486_2 gives:
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (290) apply(all_32_5, all_41_2, all_108_0) = all_486_0 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_486_1 &
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = all_486_2 & ( ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_486_0 = 0) | ~ (all_486_1 = 0) | ~
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_486_2 = 0))
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (291) apply(all_32_5, all_41_2, all_108_0) = all_486_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_324_0, all_330_1,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (273) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_330_1 = all_324_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_277_0, all_330_1,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (262), (273) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_330_1 = all_277_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_480_1, all_41_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_5, simplifying with (40), (287)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_480_1 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_324_0, all_480_1,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (287) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_480_1 = all_324_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_277_1, all_462_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_108_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (263), (280) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_462_0 = all_277_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_462_0, all_480_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_108_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (286) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_480_0 = all_462_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_480_0, all_108_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_32_5, simplifying with (256), (286)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_480_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_480_0, all_486_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_108_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (286), (291) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_486_0 = all_480_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_330_0, all_486_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_108_0, all_41_2, all_32_5, simplifying with
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (274), (291) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_486_0 = all_330_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (300) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_480_0 = all_330_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (301) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_480_0 = all_330_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (302) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_330_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (302) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_462_0 = all_330_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_462_0 = all_330_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (295) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_324_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_324_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (305) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_330_0 = all_277_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_330_0 = all_277_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (309) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_277_1 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (293) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_324_0 = all_277_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (311) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_324_0 = all_277_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (312) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_277_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (313) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_277_0 = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_277_0 = 0)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (315) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) ~ (all_277_1 = 0)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (317) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | (319) ~ (all_51_0 = all_41_2)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (320) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (320) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (321) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (322) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0) = v1 & apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (322) with fresh symbols all_279_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | all_279_1 gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (323) apply(all_32_7, all_41_0, all_51_0) = all_279_0 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = all_279_1 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_279_0 = 0) | ~ (all_279_1 = 0))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | (324) apply(all_32_7, all_41_0, all_51_0) = all_279_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | (325) all_120_3 = all_51_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (251), (325) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | (326) apply(all_32_6, all_51_0, all_41_0) = all_259_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (325) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | (327) apply(all_32_6, all_51_0, all_41_0) = 0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (328) all_112_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (328) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (329) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (330) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (330) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (331) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (332) ~ (all_112_0 = all_41_2)
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (333) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_112_0) = v1 & apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (333) with fresh symbols all_313_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | all_313_1 gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (334) apply(all_32_7, all_116_0, all_112_0) = all_313_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_7, all_116_0, all_41_2) = all_313_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_313_0 = 0) | ~ (all_313_1 = 0))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (335) apply(all_32_7, all_116_0, all_112_0) = all_313_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (335) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | (336) apply(all_32_7, all_116_0, all_51_0) = all_313_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | (337) all_116_0 = all_41_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (336), (337) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | (338) apply(all_32_7, all_41_0, all_51_0) = all_313_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (339) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (340) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (341) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_7, all_41_0, all_41_2) = v2 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = v1 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v0 & ( ~ (v2 = 0) |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (341) with fresh symbols all_355_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_355_1, all_355_2 gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (342) apply(all_32_7, all_41_0, all_41_2) = all_355_0 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = all_355_1 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_355_2 & ( ~
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_355_0 = 0) | ~ (all_355_1 = 0) | ~
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_355_2 = 0))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | (343) apply(all_32_7, all_41_0, all_41_2) = all_355_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (344) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (345) $false
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (345) is inconsistent.
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (346) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_7,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_361_0,
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_361_1 gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (347) apply(all_32_7, all_55_0, all_51_0) = all_361_1 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = all_361_0 &
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_361_0 = 0) | ~ (all_361_1 = 0))
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (348) apply(all_32_7, all_55_0, all_41_2) = all_361_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (349) apply(all_32_7, all_55_0, all_51_0) = all_361_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (349) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (350) apply(all_32_7, all_41_0, all_51_0) = all_361_1
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (348) imply:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (351) apply(all_32_7, all_41_0, all_41_2) = all_361_0
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_51_0 = all_41_2
% 97.36/13.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (352) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (354) with fresh symbols all_379_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_379_1 gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) apply(all_32_7, all_55_0, all_51_0) = all_379_0 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = all_379_1 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_379_0 = 0) | ~ (all_379_1 = 0))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) apply(all_32_7, all_55_0, all_41_2) = all_379_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) apply(all_32_7, all_55_0, all_51_0) = all_379_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (357) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) apply(all_32_7, all_41_0, all_51_0) = all_379_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (356) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) apply(all_32_7, all_41_0, all_41_2) = all_379_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_112_0 = all_41_2
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (360) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) all_51_0 = all_41_2
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (361) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v0 & apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (363) with fresh symbols all_407_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_407_1 gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) apply(all_32_7, all_41_0, all_112_0) = all_407_1 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = all_407_0 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_407_0 = 0) | ~ (all_407_1 = 0))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) apply(all_32_7, all_41_0, all_112_0) = all_407_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (365) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) apply(all_32_7, all_41_0, all_51_0) = all_407_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) all_112_0 = all_41_2
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (367) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_51_0 = all_41_2
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (368) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v1 & apply(all_32_7,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (370) with fresh symbols all_413_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_413_1 gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) apply(all_32_7, all_41_0, all_112_0) = all_413_0 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = all_413_1 &
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_413_0 = 0) | ~ (all_413_1 = 0))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) apply(all_32_7, all_41_0, all_41_2) = all_413_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) apply(all_32_7, all_41_0, all_112_0) = all_413_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) ~ (all_413_0 = 0) | ~ (all_413_1 = 0)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (373) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) apply(all_32_7, all_41_0, all_51_0) = all_413_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_361_0, all_379_1,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351), (359) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_379_1 = all_361_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_379_1, all_41_2,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (253), (359)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_379_1 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_379_1, all_413_1,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359), (372) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_413_1 = all_379_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_355_0, all_413_1,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_2, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343), (372) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_413_1 = all_355_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_361_1, all_379_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (358) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_379_0 = all_361_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_379_0, all_407_1,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (366) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_407_1 = all_379_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_279_0, all_407_1,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324), (366) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) all_407_1 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_413_0, all_51_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (59), (375)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_413_0 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_361_1, all_413_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (375) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_413_0 = all_361_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_313_0, all_413_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338), (375) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) all_413_0 = all_313_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (385) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_361_1 = all_313_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (386) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_361_1 = all_313_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (385) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_313_0 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (379) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_379_1 = all_355_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (389) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_379_1 = all_355_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (382) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_379_0 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (391) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_379_0 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (392) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_361_1 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (393) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_361_1 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (377) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_361_0 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (390) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_361_0 = all_355_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (396) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_355_0 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (394) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_313_0 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (398) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_313_0 = all_279_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (399) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_279_0 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (397) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_413_1 = 0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) ~ (all_413_0 = 0)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (402) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (403) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) ~ (all_413_1 = 0)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (401), (404) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (406) ~ (all_116_0 = all_41_0)
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (407) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | all_120_3, all_116_0) = v0 & apply(all_32_6,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | all_120_3, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (407) with fresh symbols all_345_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | all_345_1 gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (408) apply(all_32_6, all_120_3, all_116_0) = all_345_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_6, all_120_3, all_41_0) = all_345_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_345_0 = 0) | ~ (all_345_1 = 0))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (409) apply(all_32_6, all_120_3, all_116_0) = all_345_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (409) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | (410) apply(all_32_6, all_51_0, all_116_0) = all_345_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_116_0 = all_41_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (411) imply:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | (412) $false
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | (413) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_112_0, all_116_0) = v0 & apply(all_32_6,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_112_0, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (413) with fresh symbols all_351_0,
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_351_1 gives:
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | (414) apply(all_32_6, all_112_0, all_116_0) = all_351_1
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_6, all_112_0, all_41_0) = all_351_0
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_351_0 = 0) | ~ (all_351_1 = 0))
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | (415) apply(all_32_6, all_112_0, all_41_0) = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | (416) apply(all_32_6, all_112_0, all_116_0) = all_351_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (416) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | (417) apply(all_32_6, all_51_0, all_116_0) = all_351_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (415) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | (418) apply(all_32_6, all_51_0, all_41_0) = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_116_0 = all_41_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (419) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (420) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (420) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (421) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_112_0, all_116_0) = v1 & apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_112_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (421) with fresh symbols all_384_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_384_1 gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (422) apply(all_32_6, all_112_0, all_116_0) = all_384_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_6, all_112_0, all_41_0) = all_384_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_384_0 = 0) | ~ (all_384_1 = 0))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (422) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (423) apply(all_32_6, all_112_0, all_41_0) = all_384_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (424) apply(all_32_6, all_112_0, all_116_0) = all_384_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (425) ~ (all_384_0 = 0) | ~ (all_384_1 = 0)
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (424) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (426) apply(all_32_6, all_51_0, all_116_0) = all_384_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (423) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (427) apply(all_32_6, all_51_0, all_41_0) = all_384_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_116_0 = all_41_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (428) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (429) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_120_3, all_116_0) = v1 & apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_120_3, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (430) with fresh symbols all_396_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1 gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) apply(all_32_6, all_120_3, all_116_0) = all_396_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_6, all_120_3, all_41_0) = all_396_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_396_0 = 0) | ~ (all_396_1 = 0))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) apply(all_32_6, all_120_3, all_41_0) = all_396_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) apply(all_32_6, all_120_3, all_116_0) = all_396_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (433) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) apply(all_32_6, all_51_0, all_116_0) = all_396_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (325), (432) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) apply(all_32_6, all_51_0, all_41_0) = all_396_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_116_0 = all_41_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (436) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_116_0) = v0 & apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (438) with fresh symbols all_408_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_408_1 gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) apply(all_32_6, all_51_0, all_116_0) = all_408_1 &
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_408_0 &
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_408_0 = 0) | ~ (all_408_1 = 0))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) apply(all_32_6, all_51_0, all_41_0) = all_408_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) apply(all_32_6, all_51_0, all_116_0) = all_408_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_116_0 = all_41_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (442) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (443) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_116_0) = v1 & apply(all_32_6,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (444) with fresh symbols all_434_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_434_1 gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) apply(all_32_6, all_51_0, all_116_0) = all_434_0 &
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_434_1 &
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_434_0 = 0) | ~ (all_434_1 = 0))
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) apply(all_32_6, all_51_0, all_41_0) = all_434_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) apply(all_32_6, all_51_0, all_116_0) = all_434_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_112_0 = all_41_2
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (448) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_51_0 = all_41_2
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (449) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_51_0 = all_41_2
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (450) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (451) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_351_0, all_384_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418), (427) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_384_1 = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_259_1, all_384_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (427) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_384_1 = all_259_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_408_0, all_434_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440), (446) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_434_1 = all_408_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_396_1, all_434_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (446) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_434_1 = all_396_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_351_0, all_434_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418), (446) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_434_1 = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_434_1, all_41_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_32_6, simplifying with (327), (446)
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_434_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_351_1, all_116_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_32_6, simplifying with (156), (417)
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_351_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_351_1, all_384_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (426) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_384_0 = all_351_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_384_0, all_396_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426), (434) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_396_0 = all_384_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_396_0, all_408_1,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434), (441) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_408_1 = all_396_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_408_1, all_434_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (447) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_434_0 = all_408_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_345_1, all_434_0,
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_116_0, all_51_0, all_32_6, simplifying with
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410), (447) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_434_0 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (463) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_408_1 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_408_1 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (457) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_408_0 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (456) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_408_0 = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_408_0 = all_396_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (468) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_396_1 = all_351_0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (468) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_396_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (465) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_396_0 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_396_0 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (472) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_384_0 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_384_0 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (470) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_351_0 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_351_0 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (474) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_351_1 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (477) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_351_1 = all_345_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (453) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_351_0 = all_259_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (479) implies:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_351_0 = all_259_1
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (480) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_259_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (478) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_345_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (481) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_384_1 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (482) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_384_0 = 0
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) ~ (all_384_0 = 0)
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (485) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (486) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) ~ (all_384_1 = 0)
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (487) imply:
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) $false
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (488) is inconsistent.
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_120_3 = all_51_0)
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (490) all_120_3 = all_51_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (490) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (491) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (491) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (492) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_120_3) = v0 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_51_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (492) with fresh symbols all_367_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | all_367_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (493) apply(all_32_7, all_118_3, all_120_3) = all_367_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_7, all_118_3, all_51_0) = all_367_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_367_0 = 0) | ~ (all_367_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (494) apply(all_32_7, all_118_3, all_51_0) = all_367_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (494) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | (495) apply(all_32_7, all_41_0, all_51_0) = all_367_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (496) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (496) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (497) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (497) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (498) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v1 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (498) with fresh symbols all_404_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | all_404_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (499) apply(all_32_7, all_55_0, all_51_0) = all_404_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = all_404_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_404_0 = 0) | ~ (all_404_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (500) apply(all_32_7, all_55_0, all_51_0) = all_404_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (500) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | (501) apply(all_32_7, all_41_0, all_51_0) = all_404_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_120_3 = all_51_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (502) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (503) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (503) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (504) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_120_3) = v1 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_51_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (504) with fresh symbols all_410_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_410_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (505) apply(all_32_7, all_118_3, all_120_3) = all_410_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_7, all_118_3, all_51_0) = all_410_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_410_0 = 0) | ~ (all_410_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (505) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (506) apply(all_32_7, all_118_3, all_51_0) = all_410_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (252), (506) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | (507) apply(all_32_7, all_41_0, all_51_0) = all_410_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_120_3 = all_51_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (508) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (509) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (509) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (510) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_120_3) = v0 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (510) with fresh symbols all_416_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (511) apply(all_32_7, all_41_0, all_120_3) = all_416_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_51_0) = all_416_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_416_0 = 0) | ~ (all_416_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (512) apply(all_32_7, all_41_0, all_51_0) = all_416_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_112_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (513) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (514) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (515) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (516) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) ~ (all_112_0 = all_41_2)
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v0 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (518) with fresh symbols all_432_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_432_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) apply(all_32_7, all_41_0, all_112_0) = all_432_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = all_432_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_432_0 = 0) | ~ (all_432_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) apply(all_32_7, all_41_0, all_112_0) = all_432_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (520) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) apply(all_32_7, all_41_0, all_51_0) = all_432_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (522) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (523) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_51_0) = v0 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_55_0, all_41_2) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (524) with fresh symbols all_438_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_438_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) apply(all_32_7, all_55_0, all_51_0) = all_438_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_55_0, all_41_2) = all_438_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_438_0 = 0) | ~ (all_438_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) apply(all_32_7, all_55_0, all_41_2) = all_438_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) apply(all_32_7, all_55_0, all_51_0) = all_438_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) ~ (all_438_0 = 0) | ~ (all_438_1 = 0)
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (527) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) apply(all_32_7, all_41_0, all_51_0) = all_438_1
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (526) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) apply(all_32_7, all_41_0, all_41_2) = all_438_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_120_3 = all_112_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (531) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_120_3 = all_51_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (532) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (533) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ~ (all_120_3 = all_112_0)
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_120_3) = v0 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (535) with fresh symbols all_444_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_444_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) apply(all_32_7, all_41_0, all_120_3) = all_444_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_112_0) = all_444_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_444_0 = 0) | ~ (all_444_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (536) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) apply(all_32_7, all_41_0, all_112_0) = all_444_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (537) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) apply(all_32_7, all_41_0, all_51_0) = all_444_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_112_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (539) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (540) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_51_0 = all_41_2
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (541) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) $false
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v1 & apply(all_32_7,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_41_2) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (543) with fresh symbols all_450_0,
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_450_1 gives:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) apply(all_32_7, all_41_0, all_112_0) = all_450_0 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_41_2) = all_450_1 &
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_450_0 = 0) | ~ (all_450_1 = 0))
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (544) implies:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) apply(all_32_7, all_41_0, all_112_0) = all_450_0
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (545) imply:
% 97.36/13.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) apply(all_32_7, all_41_0, all_51_0) = all_450_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_120_3 = all_112_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (547) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_120_3 = all_51_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (548) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_120_3) = v0 & apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_112_0) = v1 & ( ~ (v1 = 0) | ~
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (550) with fresh symbols all_456_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_456_1 gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) apply(all_32_7, all_118_3, all_120_3) = all_456_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_7, all_118_3, all_112_0) =
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_456_0 & ( ~ (all_456_0 = 0) | ~ (all_456_1 =
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) apply(all_32_7, all_118_3, all_112_0) = all_456_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (252), (552) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) apply(all_32_7, all_41_0, all_51_0) = all_456_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_120_3 = all_51_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (554) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (555) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_120_3) = v1 & apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_51_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (556) with fresh symbols all_462_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_1 gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) apply(all_32_7, all_41_0, all_120_3) = all_462_0 &
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_51_0) = all_462_1 &
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_462_0 = 0) | ~ (all_462_1 = 0))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) apply(all_32_7, all_41_0, all_51_0) = all_462_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_120_3 = all_112_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (559) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_120_3 = all_51_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (560) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (561) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_120_3) = v1 & apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_112_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (562) with fresh symbols all_468_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_468_1 gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) apply(all_32_7, all_41_0, all_120_3) = all_468_0 &
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apply(all_32_7, all_41_0, all_112_0) = all_468_1 &
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_468_0 = 0) | ~ (all_468_1 = 0))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) apply(all_32_7, all_41_0, all_112_0) = all_468_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (564) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) apply(all_32_7, all_41_0, all_51_0) = all_468_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_120_3 = all_112_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (566) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_120_3 = all_51_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (567) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (568) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_120_3) = v1 & apply(all_32_7,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_118_3, all_112_0) = v0 & ( ~ (v1 = 0) | ~
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (569) with fresh symbols all_474_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_474_1 gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) apply(all_32_7, all_118_3, all_120_3) = all_474_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apply(all_32_7, all_118_3, all_112_0) =
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_474_1 & ( ~ (all_474_0 = 0) | ~ (all_474_1 =
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0))
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (570) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) apply(all_32_7, all_118_3, all_112_0) = all_474_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (252), (571) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) apply(all_32_7, all_41_0, all_51_0) = all_474_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_438_0, all_41_2,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (253), (530)
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_438_0 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_432_1, all_51_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (59), (521)
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_432_1 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_432_1, all_438_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521), (529) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_438_1 = all_432_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_410_1, all_438_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507), (529) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_438_1 = all_410_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_438_1, all_444_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529), (538) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_444_0 = all_438_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_416_0, all_444_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (538) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_444_0 = all_416_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_367_0, all_444_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495), (538) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_444_0 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_432_1, all_450_0,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521), (546) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_450_0 = all_432_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_456_0, all_462_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553), (558) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_462_1 = all_456_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_450_0, all_462_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546), (558) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_462_1 = all_450_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_462_1, all_468_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558), (565) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_468_1 = all_462_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_468_1, all_474_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565), (572) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) all_474_1 = all_468_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_404_0, all_474_1,
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_51_0, all_41_0, all_32_7, simplifying with
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501), (572) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_474_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (585) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) all_468_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (586) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_468_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (587) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_462_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (588) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_462_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (582) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_456_0 = all_450_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (581), (589) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) all_456_0 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (591) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) all_450_0 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (592) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) all_450_0 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (593) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_432_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (594) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) all_432_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (578) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) all_438_1 = all_416_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (596) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) all_438_1 = all_416_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (579) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_416_0 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (576) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_432_1 = all_410_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (599) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_432_1 = all_410_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (597) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) all_416_0 = all_410_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (601) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) all_416_0 = all_410_1
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (595) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) all_404_0 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (600) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) all_410_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (604) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) all_410_1 = all_404_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (602) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_410_1 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (606) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_410_1 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (607) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_404_0 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (608) implies:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_404_0 = all_367_0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (609) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_367_0 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (610) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_410_1 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (611) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_438_1 = 0
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) ~ (all_438_0 = 0)
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (613) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (614) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) ~ (all_438_1 = 0)
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (612), (615) imply:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) $false
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent.
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.51 | | | | | | | | | | | | | | | | | | |
% 97.36/13.51 | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.51 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (617) ~ (all_118_3 = all_41_0)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (618) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (member(all_118_3, all_32_4) = v1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v2 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (618) with fresh symbols all_265_0,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | all_265_1, all_265_2 gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (619) member(all_118_3, all_32_4) = all_265_1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_265_0 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = all_265_2 & ( ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (all_265_0 = 0) | ~ (all_265_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (all_265_2 = 0))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (620) member(all_41_2, all_32_3) = all_265_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (621) member(all_41_0, all_32_4) = all_265_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (622) member(all_118_3, all_32_4) = all_265_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (623) ~ (all_265_0 = 0) | ~ (all_265_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (all_265_2 = 0)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | (624) all_116_0 = all_41_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (625) all_118_3 = all_116_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (625) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (626) all_118_3 = all_41_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (626) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (627) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | CLOSE: (627) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_265_2, all_32_3,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | all_41_2, simplifying with (36), (620) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (628) all_265_2 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_265_0, all_32_4,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (621) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (629) all_265_0 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_265_1, all_32_4,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | all_118_3, simplifying with (171), (622) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (630) all_265_1 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (623), (628), (629), (630) are inconsistent by
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | (631) ~ (all_116_0 = all_41_0)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (632) all_116_0 = all_41_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (632) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (633) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (634) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (apply(all_32_6, all_120_3, all_116_0) = v2 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | member(all_120_3, all_32_3) = v0 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v1 & ( ~ (v2 = 0) |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (634) with fresh symbols all_398_0,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | all_398_1, all_398_2 gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (635) apply(all_32_6, all_120_3, all_116_0) = all_398_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | & member(all_120_3, all_32_3) = all_398_2 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_398_1 & ( ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (all_398_0 = 0) | ~ (all_398_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (all_398_2 = 0))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | ALPHA: (635) implies:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (636) member(all_41_0, all_32_4) = all_398_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (637) all_116_0 = all_41_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (637) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (638) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (638) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (639) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (apply(all_32_5, all_41_2, all_116_0) = v2 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (639) with fresh symbols all_419_0,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | all_419_1, all_419_2 gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (640) apply(all_32_5, all_41_2, all_116_0) = all_419_0 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_419_1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | member(all_41_2, all_32_3) = all_419_2 & ( ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (all_419_0 = 0) | ~ (all_419_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (all_419_2 = 0))
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (640) implies:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (641) member(all_41_2, all_32_3) = all_419_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | (642) member(all_41_0, all_32_4) = all_419_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (643) all_116_0 = all_41_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (643) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (644) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (644) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_419_2, all_32_3,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_41_2, simplifying with (36), (641) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (645) all_419_2 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_265_2, all_419_2,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_32_3, all_41_2, simplifying with (620), (641)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (646) all_419_2 = all_265_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_265_0, all_398_1,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, simplifying with (621), (636)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (647) all_398_1 = all_265_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_419_1, all_32_4,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (642) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (648) all_419_1 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_398_1, all_419_1,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_32_4, all_41_0, simplifying with (636), (642)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (649) all_419_1 = all_398_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_265_1, all_32_4,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | all_118_3, simplifying with (171), (622) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (650) all_265_1 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (649) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (651) all_398_1 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (651) implies:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (652) all_398_1 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (646) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (653) all_265_2 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (652) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | (654) all_265_0 = 0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (623), (650), (653), (654) are inconsistent by
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | End of split
% 97.36/13.52 | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | (655) ~ (all_112_0 = all_51_0)
% 97.36/13.52 | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (656) all_112_0 = all_51_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | REDUCE: (655), (656) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (657) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | CLOSE: (657) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (658) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (apply(all_32_7, all_41_0, all_112_0) = v2 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = v1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = v0 & ( ~ (v2 = 0) |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | DELTA: instantiating (658) with fresh symbols all_260_0,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | all_260_1, all_260_2 gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (659) apply(all_32_7, all_41_0, all_112_0) = all_260_0 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | member(all_51_0, all_32_3) = all_260_1 &
% 97.36/13.52 | | | | | | | | | | | | | | | | | | member(all_41_0, all_32_4) = all_260_2 & ( ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (all_260_0 = 0) | ~ (all_260_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (all_260_2 = 0))
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (660) member(all_41_0, all_32_4) = all_260_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (661) member(all_51_0, all_32_3) = all_260_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (662) apply(all_32_7, all_41_0, all_112_0) = all_260_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (663) ~ (all_260_0 = 0) | ~ (all_260_1 = 0) | ~
% 97.36/13.52 | | | | | | | | | | | | | | | | | | (all_260_2 = 0)
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (664) all_51_0 = all_41_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | REDUCE: (655), (664) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (665) ~ (all_112_0 = all_41_2)
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | REDUCE: (661), (664) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | (666) member(all_41_2, all_32_3) = all_260_1
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | (667) all_120_3 = all_51_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (667) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | (668) all_120_3 = all_41_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (669) all_120_3 = all_112_0
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (669) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (670) all_112_0 = all_41_2
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (670) imply:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | (671) $false
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | CLOSE: (671) is inconsistent.
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_1, all_32_3,
% 97.36/13.52 | | | | | | | | | | | | | | | | | | | | | all_41_2, simplifying with (36), (666) gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | (672) all_260_1 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_2, all_32_4,
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (660) gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | (673) all_260_2 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_260_0, all_112_0,
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (164), (662)
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | (674) all_260_0 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (672), (673), (674) are inconsistent by
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #1.
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_1, all_32_3,
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | all_41_2, simplifying with (36), (666) gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | (675) all_260_1 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_2, all_32_4,
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (660) gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | (676) all_260_2 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_260_0, all_112_0,
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (164), (662)
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | gives:
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | | (677) all_260_0 = 0
% 97.80/13.52 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (675), (676), (677) are inconsistent by
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | sub-proof #1.
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | (678) ~ (all_51_0 = all_41_2)
% 97.80/13.53 | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | (679) all_120_3 = all_41_2
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (680) all_120_3 = all_51_0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (680) imply:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (681) all_51_0 = all_41_2
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (681) imply:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (682) $false
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (682) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_2, all_32_4,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (660) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (683) all_260_2 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_1, all_32_3,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_51_0, simplifying with (58), (661) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (684) all_260_1 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_260_0, all_112_0,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (164), (662)
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (685) all_260_0 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (683), (684), (685) are inconsistent by
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | sub-proof #1.
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | (686) ~ (all_120_3 = all_41_2)
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (687) all_120_3 = all_41_2
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (687) imply:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (688) $false
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (688) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_2, all_32_4,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_41_0, simplifying with (38), (660) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (689) all_260_2 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_260_1, all_32_3,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_51_0, simplifying with (58), (661) gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (690) all_260_1 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_260_0, all_112_0,
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | all_41_0, all_32_7, simplifying with (164), (662)
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | gives:
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | (691) all_260_0 = 0
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (689), (690), (691) are inconsistent by
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | | sub-proof #1.
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | (692) member(all_41_2, all_32_3) = all_118_4 &
% 97.80/13.53 | | | | | | | | | | | | | member(all_41_2, all_32_3) = all_118_5 & ( ~
% 97.80/13.53 | | | | | | | | | | | | | (all_118_4 = 0) | ~ (all_118_5 = 0))
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | ALPHA: (692) implies:
% 97.80/13.53 | | | | | | | | | | | | | (693) member(all_41_2, all_32_3) = all_118_5
% 97.80/13.53 | | | | | | | | | | | | | (694) member(all_41_2, all_32_3) = all_118_4
% 97.80/13.53 | | | | | | | | | | | | | (695) ~ (all_118_4 = 0) | ~ (all_118_5 = 0)
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_118_4, all_32_3,
% 97.80/13.53 | | | | | | | | | | | | | all_41_2, simplifying with (36), (694) gives:
% 97.80/13.53 | | | | | | | | | | | | | (696) all_118_4 = 0
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_118_5, all_118_4,
% 97.80/13.53 | | | | | | | | | | | | | all_32_3, all_41_2, simplifying with (693), (694)
% 97.80/13.53 | | | | | | | | | | | | | gives:
% 97.80/13.53 | | | | | | | | | | | | | (697) all_118_4 = all_118_5
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | COMBINE_EQS: (696), (697) imply:
% 97.80/13.53 | | | | | | | | | | | | | (698) all_118_5 = 0
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | BETA: splitting (695) gives:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | (699) ~ (all_118_4 = 0)
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | REDUCE: (696), (699) imply:
% 97.80/13.53 | | | | | | | | | | | | | | (700) $false
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | CLOSE: (700) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | (701) ~ (all_118_5 = 0)
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | REDUCE: (698), (701) imply:
% 97.80/13.53 | | | | | | | | | | | | | | (702) $false
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | CLOSE: (702) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | (703) member(all_41_0, all_32_4) = all_120_4 &
% 97.80/13.53 | | | | | | | | | | | | member(all_41_0, all_32_4) = all_120_5 & ( ~
% 97.80/13.53 | | | | | | | | | | | | (all_120_4 = 0) | ~ (all_120_5 = 0))
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | ALPHA: (703) implies:
% 97.80/13.53 | | | | | | | | | | | | (704) member(all_41_0, all_32_4) = all_120_5
% 97.80/13.53 | | | | | | | | | | | | (705) member(all_41_0, all_32_4) = all_120_4
% 97.80/13.53 | | | | | | | | | | | | (706) ~ (all_120_4 = 0) | ~ (all_120_5 = 0)
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_120_4, all_32_4,
% 97.80/13.53 | | | | | | | | | | | | all_41_0, simplifying with (38), (705) gives:
% 97.80/13.53 | | | | | | | | | | | | (707) all_120_4 = 0
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_120_5, all_120_4,
% 97.80/13.53 | | | | | | | | | | | | all_32_4, all_41_0, simplifying with (704), (705)
% 97.80/13.53 | | | | | | | | | | | | gives:
% 97.80/13.53 | | | | | | | | | | | | (708) all_120_4 = all_120_5
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | COMBINE_EQS: (707), (708) imply:
% 97.80/13.53 | | | | | | | | | | | | (709) all_120_5 = 0
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | BETA: splitting (706) gives:
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | (710) ~ (all_120_4 = 0)
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | REDUCE: (707), (710) imply:
% 97.80/13.53 | | | | | | | | | | | | | (711) $false
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | CLOSE: (711) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | (712) ~ (all_120_5 = 0)
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | REDUCE: (709), (712) imply:
% 97.80/13.53 | | | | | | | | | | | | | (713) $false
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | CLOSE: (713) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | (714) ~ (all_53_0 = all_41_1)
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | BETA: splitting (139) gives:
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | (715) all_53_0 = all_41_1
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | REDUCE: (714), (715) imply:
% 97.80/13.53 | | | | | | | | | | | | (716) $false
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | CLOSE: (716) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | (717) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.80/13.53 | | | | | | | | | | | | (member(all_53_0, all_32_4) = v1 &
% 97.80/13.53 | | | | | | | | | | | | member(all_41_1, all_32_4) = v2 &
% 97.80/13.53 | | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.80/13.53 | | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | DELTA: instantiating (717) with fresh symbols all_138_0,
% 97.80/13.53 | | | | | | | | | | | | all_138_1, all_138_2 gives:
% 97.80/13.53 | | | | | | | | | | | | (718) member(all_53_0, all_32_4) = all_138_1 &
% 97.80/13.53 | | | | | | | | | | | | member(all_41_1, all_32_4) = all_138_0 &
% 97.80/13.53 | | | | | | | | | | | | member(all_41_2, all_32_3) = all_138_2 & ( ~
% 97.80/13.53 | | | | | | | | | | | | (all_138_0 = 0) | ~ (all_138_1 = 0) | ~
% 97.80/13.53 | | | | | | | | | | | | (all_138_2 = 0))
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | ALPHA: (718) implies:
% 97.80/13.53 | | | | | | | | | | | | (719) member(all_41_2, all_32_3) = all_138_2
% 97.80/13.53 | | | | | | | | | | | | (720) member(all_41_1, all_32_4) = all_138_0
% 97.80/13.53 | | | | | | | | | | | | (721) member(all_53_0, all_32_4) = all_138_1
% 97.80/13.53 | | | | | | | | | | | | (722) ~ (all_138_0 = 0) | ~ (all_138_1 = 0) | ~
% 97.80/13.53 | | | | | | | | | | | | (all_138_2 = 0)
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | BETA: splitting (131) gives:
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | (723) all_53_0 = all_41_1
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | REDUCE: (714), (723) imply:
% 97.80/13.53 | | | | | | | | | | | | | (724) $false
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | CLOSE: (724) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_138_2, all_32_3,
% 97.80/13.53 | | | | | | | | | | | | | all_41_2, simplifying with (36), (719) gives:
% 97.80/13.53 | | | | | | | | | | | | | (725) all_138_2 = 0
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_138_0, all_32_4,
% 97.80/13.53 | | | | | | | | | | | | | all_41_1, simplifying with (37), (720) gives:
% 97.80/13.53 | | | | | | | | | | | | | (726) all_138_0 = 0
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with 0, all_138_1, all_32_4,
% 97.80/13.53 | | | | | | | | | | | | | all_53_0, simplifying with (62), (721) gives:
% 97.80/13.53 | | | | | | | | | | | | | (727) all_138_1 = 0
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | BETA: splitting (722) gives:
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | (728) ~ (all_138_0 = 0)
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | REDUCE: (726), (728) imply:
% 97.80/13.53 | | | | | | | | | | | | | | (729) $false
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | CLOSE: (729) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | (730) ~ (all_138_1 = 0) | ~ (all_138_2 = 0)
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | BETA: splitting (730) gives:
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | (731) ~ (all_138_1 = 0)
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | REDUCE: (727), (731) imply:
% 97.80/13.53 | | | | | | | | | | | | | | | (732) $false
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | CLOSE: (732) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | (733) ~ (all_138_2 = 0)
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | REDUCE: (725), (733) imply:
% 97.80/13.53 | | | | | | | | | | | | | | | (734) $false
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 97.80/13.53 | | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | End of split
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | (735) ~ (all_55_0 = all_41_0)
% 97.80/13.53 | | | | | | | | | | (736) ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.80/13.53 | | | | | | | | | | all_41_2, all_55_0) = v1 & apply(all_32_5,
% 97.80/13.53 | | | | | | | | | | all_41_2, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.53 | | | | | | | | | | (v0 = 0)))
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | DELTA: instantiating (736) with fresh symbols all_128_0,
% 97.80/13.53 | | | | | | | | | | all_128_1 gives:
% 97.80/13.53 | | | | | | | | | | (737) apply(all_32_5, all_41_2, all_55_0) = all_128_0 &
% 97.80/13.53 | | | | | | | | | | apply(all_32_5, all_41_2, all_41_0) = all_128_1 & (
% 97.80/13.53 | | | | | | | | | | ~ (all_128_0 = 0) | ~ (all_128_1 = 0))
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | ALPHA: (737) implies:
% 97.80/13.53 | | | | | | | | | | (738) apply(all_32_5, all_41_2, all_41_0) = all_128_1
% 97.80/13.53 | | | | | | | | | | (739) apply(all_32_5, all_41_2, all_55_0) = all_128_0
% 97.80/13.53 | | | | | | | | | | (740) ~ (all_128_0 = 0) | ~ (all_128_1 = 0)
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | BETA: splitting (132) gives:
% 97.80/13.53 | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | Case 1:
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | (741) all_55_0 = all_41_0
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | REDUCE: (735), (741) imply:
% 97.80/13.53 | | | | | | | | | | | (742) $false
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | | CLOSE: (742) is inconsistent.
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.53 | | | | | | | | | | Case 2:
% 97.80/13.53 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | (743) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.80/13.54 | | | | | | | | | | | (apply(all_32_5, all_41_2, all_55_0) = v2 &
% 97.80/13.54 | | | | | | | | | | | member(all_41_0, all_32_4) = v1 &
% 97.80/13.54 | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.80/13.54 | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | DELTA: instantiating (743) with fresh symbols all_134_0,
% 97.80/13.54 | | | | | | | | | | | all_134_1, all_134_2 gives:
% 97.80/13.54 | | | | | | | | | | | (744) apply(all_32_5, all_41_2, all_55_0) = all_134_0 &
% 97.80/13.54 | | | | | | | | | | | member(all_41_0, all_32_4) = all_134_1 &
% 97.80/13.54 | | | | | | | | | | | member(all_41_2, all_32_3) = all_134_2 & ( ~
% 97.80/13.54 | | | | | | | | | | | (all_134_0 = 0) | ~ (all_134_1 = 0) | ~
% 97.80/13.54 | | | | | | | | | | | (all_134_2 = 0))
% 97.80/13.54 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | ALPHA: (744) implies:
% 97.80/13.54 | | | | | | | | | | | (745) apply(all_32_5, all_41_2, all_55_0) = all_134_0
% 97.80/13.54 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | BETA: splitting (134) gives:
% 97.80/13.54 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | Case 1:
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | (746) all_55_0 = all_41_0
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | REDUCE: (735), (746) imply:
% 97.80/13.54 | | | | | | | | | | | | (747) $false
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | CLOSE: (747) is inconsistent.
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | Case 2:
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_128_1, all_41_0,
% 97.80/13.54 | | | | | | | | | | | | all_41_2, all_32_5, simplifying with (40), (738)
% 97.80/13.54 | | | | | | | | | | | | gives:
% 97.80/13.54 | | | | | | | | | | | | (748) all_128_1 = 0
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_134_0, all_55_0,
% 97.80/13.54 | | | | | | | | | | | | all_41_2, all_32_5, simplifying with (67), (745)
% 97.80/13.54 | | | | | | | | | | | | gives:
% 97.80/13.54 | | | | | | | | | | | | (749) all_134_0 = 0
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_128_0, all_134_0,
% 97.80/13.54 | | | | | | | | | | | | all_55_0, all_41_2, all_32_5, simplifying with
% 97.80/13.54 | | | | | | | | | | | | (739), (745) gives:
% 97.80/13.54 | | | | | | | | | | | | (750) all_134_0 = all_128_0
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | COMBINE_EQS: (749), (750) imply:
% 97.80/13.54 | | | | | | | | | | | | (751) all_128_0 = 0
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | BETA: splitting (740) gives:
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | Case 1:
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | (752) ~ (all_128_0 = 0)
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | REDUCE: (751), (752) imply:
% 97.80/13.54 | | | | | | | | | | | | | (753) $false
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | CLOSE: (753) is inconsistent.
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | Case 2:
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | (754) ~ (all_128_1 = 0)
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | REDUCE: (748), (754) imply:
% 97.80/13.54 | | | | | | | | | | | | | (755) $false
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | | CLOSE: (755) is inconsistent.
% 97.80/13.54 | | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | | End of split
% 97.80/13.54 | | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | | End of split
% 97.80/13.54 | | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | | End of split
% 97.80/13.54 | | | | | | | | | |
% 97.80/13.54 | | | | | | | | | End of split
% 97.80/13.54 | | | | | | | | |
% 97.80/13.54 | | | | | | | | Case 2:
% 97.80/13.54 | | | | | | | | |
% 97.80/13.54 | | | | | | | | | (756) ~ (all_66_1 = 0)
% 97.80/13.54 | | | | | | | | |
% 97.80/13.54 | | | | | | | | | REDUCE: (120), (756) imply:
% 97.80/13.54 | | | | | | | | | (757) $false
% 97.80/13.54 | | | | | | | | |
% 97.80/13.54 | | | | | | | | | CLOSE: (757) is inconsistent.
% 97.80/13.54 | | | | | | | | |
% 97.80/13.54 | | | | | | | | End of split
% 97.80/13.54 | | | | | | | |
% 97.80/13.54 | | | | | | | End of split
% 97.80/13.54 | | | | | | |
% 97.80/13.54 | | | | | | End of split
% 97.80/13.54 | | | | | |
% 97.80/13.54 | | | | | End of split
% 97.80/13.54 | | | | |
% 97.80/13.54 | | | | End of split
% 97.80/13.54 | | | |
% 97.80/13.54 | | | End of split
% 97.80/13.54 | | |
% 97.80/13.54 | | End of split
% 97.80/13.54 | |
% 97.80/13.54 | End of split
% 97.80/13.54 |
% 97.80/13.54 End of proof
% 97.80/13.54
% 97.80/13.54 Sub-proof #1 shows that the following formulas are inconsistent:
% 97.80/13.54 ----------------------------------------------------------------
% 97.80/13.54 (1) ~ (all_260_0 = 0) | ~ (all_260_1 = 0) | ~ (all_260_2 = 0)
% 97.80/13.54 (2) all_260_0 = 0
% 97.80/13.54 (3) all_260_1 = 0
% 97.80/13.54 (4) all_260_2 = 0
% 97.80/13.54
% 97.80/13.54 Begin of proof
% 97.80/13.54 |
% 97.80/13.54 | BETA: splitting (1) gives:
% 97.80/13.54 |
% 97.80/13.54 | Case 1:
% 97.80/13.54 | |
% 97.80/13.54 | | (5) ~ (all_260_0 = 0)
% 97.80/13.54 | |
% 97.80/13.54 | | REDUCE: (2), (5) imply:
% 97.80/13.54 | | (6) $false
% 97.80/13.54 | |
% 97.80/13.54 | | CLOSE: (6) is inconsistent.
% 97.80/13.54 | |
% 97.80/13.54 | Case 2:
% 97.80/13.54 | |
% 97.80/13.54 | | (7) ~ (all_260_1 = 0) | ~ (all_260_2 = 0)
% 97.80/13.54 | |
% 97.80/13.54 | | BETA: splitting (7) gives:
% 97.80/13.54 | |
% 97.80/13.54 | | Case 1:
% 97.80/13.54 | | |
% 97.80/13.54 | | | (8) ~ (all_260_1 = 0)
% 97.80/13.54 | | |
% 97.80/13.54 | | | REDUCE: (3), (8) imply:
% 97.80/13.54 | | | (9) $false
% 97.80/13.54 | | |
% 97.80/13.54 | | | CLOSE: (9) is inconsistent.
% 97.80/13.54 | | |
% 97.80/13.54 | | Case 2:
% 97.80/13.54 | | |
% 97.80/13.54 | | | (10) ~ (all_260_2 = 0)
% 97.80/13.54 | | |
% 97.80/13.54 | | | REDUCE: (4), (10) imply:
% 97.80/13.54 | | | (11) $false
% 97.80/13.54 | | |
% 97.80/13.54 | | | CLOSE: (11) is inconsistent.
% 97.80/13.54 | | |
% 97.80/13.54 | | End of split
% 97.80/13.54 | |
% 97.80/13.54 | End of split
% 97.80/13.54 |
% 97.80/13.54 End of proof
% 97.80/13.54
% 97.80/13.54 Sub-proof #2 shows that the following formulas are inconsistent:
% 97.80/13.54 ----------------------------------------------------------------
% 97.80/13.54 (1) ~ (all_265_0 = 0) | ~ (all_265_1 = 0) | ~ (all_265_2 = 0)
% 97.80/13.54 (2) all_265_0 = 0
% 97.80/13.54 (3) all_265_1 = 0
% 97.80/13.54 (4) all_265_2 = 0
% 97.80/13.54
% 97.80/13.54 Begin of proof
% 97.80/13.54 |
% 97.80/13.54 | BETA: splitting (1) gives:
% 97.80/13.54 |
% 97.80/13.54 | Case 1:
% 97.80/13.54 | |
% 97.80/13.54 | | (5) ~ (all_265_0 = 0)
% 97.80/13.54 | |
% 97.80/13.54 | | REDUCE: (2), (5) imply:
% 97.80/13.54 | | (6) $false
% 97.80/13.54 | |
% 97.80/13.54 | | CLOSE: (6) is inconsistent.
% 97.80/13.54 | |
% 97.80/13.54 | Case 2:
% 97.80/13.54 | |
% 97.80/13.54 | | (7) ~ (all_265_1 = 0) | ~ (all_265_2 = 0)
% 97.80/13.54 | |
% 97.80/13.54 | | BETA: splitting (7) gives:
% 97.80/13.54 | |
% 97.80/13.54 | | Case 1:
% 97.80/13.54 | | |
% 97.80/13.54 | | | (8) ~ (all_265_1 = 0)
% 97.80/13.54 | | |
% 97.80/13.54 | | | REDUCE: (3), (8) imply:
% 97.80/13.54 | | | (9) $false
% 97.80/13.54 | | |
% 97.80/13.54 | | | CLOSE: (9) is inconsistent.
% 97.80/13.54 | | |
% 97.80/13.54 | | Case 2:
% 97.80/13.54 | | |
% 97.80/13.54 | | | (10) ~ (all_265_2 = 0)
% 97.80/13.54 | | |
% 97.80/13.54 | | | REDUCE: (4), (10) imply:
% 97.80/13.54 | | | (11) $false
% 97.80/13.54 | | |
% 97.80/13.54 | | | CLOSE: (11) is inconsistent.
% 97.80/13.54 | | |
% 97.80/13.54 | | End of split
% 97.80/13.54 | |
% 97.80/13.54 | End of split
% 97.80/13.54 |
% 97.80/13.54 End of proof
% 97.80/13.54
% 97.80/13.54 Sub-proof #3 shows that the following formulas are inconsistent:
% 97.80/13.54 ----------------------------------------------------------------
% 97.80/13.54 (1) all_112_0 = all_41_2
% 97.80/13.54 (2) all_118_3 = all_41_0
% 97.80/13.54 (3) all_51_0 = all_41_2
% 97.80/13.54 (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 97.80/13.54 ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) =
% 97.80/13.54 v0))
% 97.80/13.54 (5) apply(all_32_7, all_41_0, all_120_3) = 0
% 97.80/13.54 (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 97.80/13.54 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~
% 97.80/13.54 (apply(v4, v3, v2) = v0))
% 97.80/13.54 (7) all_116_0 = all_108_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_120_3, all_116_0) = v1 & apply(all_32_6, all_120_3, all_108_0) =
% 97.80/13.54 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (8) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_112_0, all_116_0) = v0 & apply(all_32_6, all_112_0, all_41_0) =
% 97.80/13.54 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (9) ~ (all_66_0 = 0)
% 97.80/13.54 (10) apply(all_32_6, all_41_2, all_116_0) = 0
% 97.80/13.54 (11) member(all_41_2, all_32_3) = 0
% 97.80/13.54 (12) apply(all_32_6, all_41_2, all_41_0) = all_66_0
% 97.80/13.54 (13) all_118_3 = all_116_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_120_3, all_118_3) = v0 & apply(all_32_6, all_120_3, all_116_0) =
% 97.80/13.54 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (14) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_41_2, all_116_0) = v1 & apply(all_32_6, all_41_2, all_41_1) = v0
% 97.80/13.54 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (15) all_116_0 = all_108_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_51_0, all_116_0) = v0 & apply(all_32_6, all_51_0, all_108_0) =
% 97.80/13.54 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (16) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_120_3, all_116_0) = v0 & apply(all_32_6, all_120_3, all_41_0) =
% 97.80/13.54 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (17) all_120_3 = all_51_0 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.80/13.54 (apply(all_32_7, all_41_0, all_120_3) = v2 & member(all_51_0, all_32_3)
% 97.80/13.54 = v1 & member(all_41_0, all_32_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 97.80/13.54 ~ (v0 = 0)))
% 97.80/13.54 (18) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_112_0, all_116_0) = v0 & apply(all_32_6, all_112_0, all_41_1) =
% 97.80/13.54 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (19) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_120_3, all_116_0) = v1 & apply(all_32_6, all_120_3, all_41_0) =
% 97.80/13.54 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.54 (20) ~ (all_41_0 = all_41_1)
% 97.80/13.54 (21) apply(all_32_6, all_120_3, all_41_0) = 0
% 97.80/13.54 (22) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.54 all_112_0, all_116_0) = v1 & apply(all_32_6, all_112_0, all_41_0) =
% 97.80/13.54 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (23) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.80/13.55 (apply(all_32_6, all_41_2, all_116_0) = v2 & member(all_41_1, all_32_4)
% 97.80/13.55 = v1 & member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 97.80/13.55 ~ (v0 = 0)))
% 97.80/13.55 (24) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_41_2, all_108_0) = v1 & apply(all_32_6, all_41_2, all_41_1) = v0
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (25) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_41_2, all_108_0) = v0 & apply(all_32_6, all_41_2, all_41_1) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (26) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_41_2, all_116_0) = v0 & apply(all_32_6, all_41_2, all_41_1) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (27) all_108_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_5,
% 97.80/13.55 all_51_0, all_108_0) = v0 & apply(all_32_5, all_51_0, all_41_1) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (28) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_112_0, all_116_0) = v1 & apply(all_32_6, all_112_0, all_41_1) =
% 97.80/13.55 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (29) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_51_0, all_116_0) = v1 & apply(all_32_6, all_51_0, all_41_1) = v0
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (30) member(all_41_0, all_32_4) = 0
% 97.80/13.55 (31) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_51_0, all_116_0) = v1 & apply(all_32_6, all_51_0, all_41_0) = v0
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (32) apply(all_32_6, all_120_3, all_41_0) = all_259_1
% 97.80/13.55 (33) all_116_0 = all_108_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_51_0, all_116_0) = v1 & apply(all_32_6, all_51_0, all_108_0) =
% 97.80/13.55 v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (34) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_51_0, all_116_0) = v0 & apply(all_32_6, all_51_0, all_41_0) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (35) apply(all_32_6, all_41_2, all_41_0) = all_158_0
% 97.80/13.55 (36) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_41_2, all_116_0) = v0 & apply(all_32_6, all_41_2, all_41_0) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (37) all_116_0 = all_41_1 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_51_0, all_116_0) = v0 & apply(all_32_6, all_51_0, all_41_1) = v1
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (38) all_108_0 = all_41_0
% 97.80/13.55 (39) all_116_0 = all_41_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.55 all_41_2, all_116_0) = v1 & apply(all_32_6, all_41_2, all_41_0) = v0
% 97.80/13.55 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 (40) all_120_3 = all_112_0 | ? [v0: any] : ? [v1: any] : (apply(all_32_7,
% 97.80/13.55 all_108_0, all_120_3) = v0 & apply(all_32_7, all_108_0, all_112_0) =
% 97.80/13.55 v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55
% 97.80/13.55 Begin of proof
% 97.80/13.55 |
% 97.80/13.55 | BETA: splitting (40) gives:
% 97.80/13.55 |
% 97.80/13.55 | Case 1:
% 97.80/13.55 | |
% 97.80/13.55 | | (41) all_120_3 = all_112_0
% 97.80/13.55 | |
% 97.80/13.55 | | COMBINE_EQS: (1), (41) imply:
% 97.80/13.55 | | (42) all_120_3 = all_41_2
% 97.80/13.55 | |
% 97.80/13.55 | | REDUCE: (32), (42) imply:
% 97.80/13.55 | | (43) apply(all_32_6, all_41_2, all_41_0) = all_259_1
% 97.80/13.55 | |
% 97.80/13.55 | | REDUCE: (21), (42) imply:
% 97.80/13.55 | | (44) apply(all_32_6, all_41_2, all_41_0) = 0
% 97.80/13.55 | |
% 97.80/13.55 | | BETA: splitting (19) gives:
% 97.80/13.55 | |
% 97.80/13.55 | | Case 1:
% 97.80/13.55 | | |
% 97.80/13.55 | | | (45) all_116_0 = all_41_0
% 97.80/13.55 | | |
% 97.80/13.55 | | | BETA: splitting (25) gives:
% 97.80/13.55 | | |
% 97.80/13.55 | | | Case 1:
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | (46) all_108_0 = all_41_1
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | COMBINE_EQS: (38), (46) imply:
% 97.80/13.55 | | | | (47) all_41_0 = all_41_1
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | SIMP: (47) implies:
% 97.80/13.55 | | | | (48) all_41_0 = all_41_1
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | REDUCE: (20), (48) imply:
% 97.80/13.55 | | | | (49) $false
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | CLOSE: (49) is inconsistent.
% 97.80/13.55 | | | |
% 97.80/13.55 | | | Case 2:
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | (50) ~ (all_108_0 = all_41_1)
% 97.80/13.55 | | | | (51) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.80/13.55 | | | | all_108_0) = v0 & apply(all_32_6, all_41_2, all_41_1) = v1 &
% 97.80/13.55 | | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | DELTA: instantiating (51) with fresh symbols all_295_0, all_295_1 gives:
% 97.80/13.55 | | | | (52) apply(all_32_6, all_41_2, all_108_0) = all_295_1 &
% 97.80/13.55 | | | | apply(all_32_6, all_41_2, all_41_1) = all_295_0 & ( ~ (all_295_0
% 97.80/13.55 | | | | = 0) | ~ (all_295_1 = 0))
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | ALPHA: (52) implies:
% 97.80/13.55 | | | | (53) apply(all_32_6, all_41_2, all_108_0) = all_295_1
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | REDUCE: (38), (53) imply:
% 97.80/13.55 | | | | (54) apply(all_32_6, all_41_2, all_41_0) = all_295_1
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | BETA: splitting (24) gives:
% 97.80/13.55 | | | |
% 97.80/13.55 | | | | Case 1:
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | (55) all_108_0 = all_41_1
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | COMBINE_EQS: (38), (55) imply:
% 97.80/13.55 | | | | | (56) all_41_0 = all_41_1
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | SIMP: (56) implies:
% 97.80/13.55 | | | | | (57) all_41_0 = all_41_1
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | REDUCE: (20), (57) imply:
% 97.80/13.55 | | | | | (58) $false
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | CLOSE: (58) is inconsistent.
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | Case 2:
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | (59) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.80/13.55 | | | | | all_108_0) = v1 & apply(all_32_6, all_41_2, all_41_1) = v0
% 97.80/13.55 | | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | DELTA: instantiating (59) with fresh symbols all_307_0, all_307_1
% 97.80/13.55 | | | | | gives:
% 97.80/13.55 | | | | | (60) apply(all_32_6, all_41_2, all_108_0) = all_307_0 &
% 97.80/13.55 | | | | | apply(all_32_6, all_41_2, all_41_1) = all_307_1 & ( ~
% 97.80/13.55 | | | | | (all_307_0 = 0) | ~ (all_307_1 = 0))
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | ALPHA: (60) implies:
% 97.80/13.55 | | | | | (61) apply(all_32_6, all_41_2, all_108_0) = all_307_0
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | REDUCE: (38), (61) imply:
% 97.80/13.55 | | | | | (62) apply(all_32_6, all_41_2, all_41_0) = all_307_0
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | BETA: splitting (26) gives:
% 97.80/13.55 | | | | |
% 97.80/13.55 | | | | | Case 1:
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | (63) all_116_0 = all_41_1
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | COMBINE_EQS: (45), (63) imply:
% 97.80/13.55 | | | | | | (64) all_41_0 = all_41_1
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | SIMP: (64) implies:
% 97.80/13.55 | | | | | | (65) all_41_0 = all_41_1
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | REDUCE: (20), (65) imply:
% 97.80/13.55 | | | | | | (66) $false
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | CLOSE: (66) is inconsistent.
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | Case 2:
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | (67) ~ (all_116_0 = all_41_1)
% 97.80/13.55 | | | | | | (68) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.80/13.55 | | | | | | all_116_0) = v0 & apply(all_32_6, all_41_2, all_41_1) =
% 97.80/13.55 | | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | DELTA: instantiating (68) with fresh symbols all_325_0, all_325_1
% 97.80/13.55 | | | | | | gives:
% 97.80/13.55 | | | | | | (69) apply(all_32_6, all_41_2, all_116_0) = all_325_1 &
% 97.80/13.55 | | | | | | apply(all_32_6, all_41_2, all_41_1) = all_325_0 & ( ~
% 97.80/13.55 | | | | | | (all_325_0 = 0) | ~ (all_325_1 = 0))
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | ALPHA: (69) implies:
% 97.80/13.55 | | | | | | (70) apply(all_32_6, all_41_2, all_116_0) = all_325_1
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | REDUCE: (45), (70) imply:
% 97.80/13.55 | | | | | | (71) apply(all_32_6, all_41_2, all_41_0) = all_325_1
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | BETA: splitting (14) gives:
% 97.80/13.55 | | | | | |
% 97.80/13.55 | | | | | | Case 1:
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | | (72) all_116_0 = all_41_1
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | | COMBINE_EQS: (45), (72) imply:
% 97.80/13.55 | | | | | | | (73) all_41_0 = all_41_1
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | | SIMP: (73) implies:
% 97.80/13.55 | | | | | | | (74) all_41_0 = all_41_1
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | | REDUCE: (20), (74) imply:
% 97.80/13.55 | | | | | | | (75) $false
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | | CLOSE: (75) is inconsistent.
% 97.80/13.55 | | | | | | |
% 97.80/13.55 | | | | | | Case 2:
% 97.80/13.55 | | | | | | |
% 97.80/13.56 | | | | | | | (76) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.80/13.56 | | | | | | | all_116_0) = v1 & apply(all_32_6, all_41_2, all_41_1)
% 97.80/13.56 | | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.56 | | | | | | |
% 97.80/13.56 | | | | | | | DELTA: instantiating (76) with fresh symbols all_331_0, all_331_1
% 97.80/13.56 | | | | | | | gives:
% 97.80/13.56 | | | | | | | (77) apply(all_32_6, all_41_2, all_116_0) = all_331_0 &
% 97.80/13.56 | | | | | | | apply(all_32_6, all_41_2, all_41_1) = all_331_1 & ( ~
% 97.80/13.56 | | | | | | | (all_331_0 = 0) | ~ (all_331_1 = 0))
% 97.80/13.56 | | | | | | |
% 97.80/13.56 | | | | | | | ALPHA: (77) implies:
% 97.80/13.56 | | | | | | | (78) apply(all_32_6, all_41_2, all_116_0) = all_331_0
% 97.80/13.56 | | | | | | |
% 97.80/13.56 | | | | | | | REDUCE: (45), (78) imply:
% 97.80/13.56 | | | | | | | (79) apply(all_32_6, all_41_2, all_41_0) = all_331_0
% 97.80/13.56 | | | | | | |
% 97.80/13.56 | | | | | | | BETA: splitting (37) gives:
% 97.80/13.56 | | | | | | |
% 97.80/13.56 | | | | | | | Case 1:
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | (80) all_116_0 = all_41_1
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | COMBINE_EQS: (45), (80) imply:
% 97.80/13.56 | | | | | | | | (81) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | SIMP: (81) implies:
% 97.80/13.56 | | | | | | | | (82) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | REDUCE: (20), (82) imply:
% 97.80/13.56 | | | | | | | | (83) $false
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | CLOSE: (83) is inconsistent.
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | Case 2:
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | (84) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_51_0,
% 97.80/13.56 | | | | | | | | all_116_0) = v0 & apply(all_32_6, all_51_0,
% 97.80/13.56 | | | | | | | | all_41_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | DELTA: instantiating (84) with fresh symbols all_337_0,
% 97.80/13.56 | | | | | | | | all_337_1 gives:
% 97.80/13.56 | | | | | | | | (85) apply(all_32_6, all_51_0, all_116_0) = all_337_1 &
% 97.80/13.56 | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = all_337_0 & ( ~
% 97.80/13.56 | | | | | | | | (all_337_0 = 0) | ~ (all_337_1 = 0))
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | ALPHA: (85) implies:
% 97.80/13.56 | | | | | | | | (86) apply(all_32_6, all_51_0, all_116_0) = all_337_1
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | REDUCE: (3), (45), (86) imply:
% 97.80/13.56 | | | | | | | | (87) apply(all_32_6, all_41_2, all_41_0) = all_337_1
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | BETA: splitting (18) gives:
% 97.80/13.56 | | | | | | | |
% 97.80/13.56 | | | | | | | | Case 1:
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | (88) all_116_0 = all_41_1
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | COMBINE_EQS: (45), (88) imply:
% 97.80/13.56 | | | | | | | | | (89) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | SIMP: (89) implies:
% 97.80/13.56 | | | | | | | | | (90) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | REDUCE: (20), (90) imply:
% 97.80/13.56 | | | | | | | | | (91) $false
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | CLOSE: (91) is inconsistent.
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | Case 2:
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | (92) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.56 | | | | | | | | | all_112_0, all_116_0) = v0 & apply(all_32_6,
% 97.80/13.56 | | | | | | | | | all_112_0, all_41_1) = v1 & ( ~ (v1 = 0) | ~ (v0
% 97.80/13.56 | | | | | | | | | = 0)))
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | DELTA: instantiating (92) with fresh symbols all_343_0,
% 97.80/13.56 | | | | | | | | | all_343_1 gives:
% 97.80/13.56 | | | | | | | | | (93) apply(all_32_6, all_112_0, all_116_0) = all_343_1 &
% 97.80/13.56 | | | | | | | | | apply(all_32_6, all_112_0, all_41_1) = all_343_0 & ( ~
% 97.80/13.56 | | | | | | | | | (all_343_0 = 0) | ~ (all_343_1 = 0))
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | ALPHA: (93) implies:
% 97.80/13.56 | | | | | | | | | (94) apply(all_32_6, all_112_0, all_116_0) = all_343_1
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | REDUCE: (1), (45), (94) imply:
% 97.80/13.56 | | | | | | | | | (95) apply(all_32_6, all_41_2, all_41_0) = all_343_1
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | BETA: splitting (29) gives:
% 97.80/13.56 | | | | | | | | |
% 97.80/13.56 | | | | | | | | | Case 1:
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | (96) all_116_0 = all_41_1
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | COMBINE_EQS: (45), (96) imply:
% 97.80/13.56 | | | | | | | | | | (97) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | SIMP: (97) implies:
% 97.80/13.56 | | | | | | | | | | (98) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | REDUCE: (20), (98) imply:
% 97.80/13.56 | | | | | | | | | | (99) $false
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | CLOSE: (99) is inconsistent.
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | Case 2:
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | (100) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.56 | | | | | | | | | | all_51_0, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.56 | | | | | | | | | | all_51_0, all_41_1) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.56 | | | | | | | | | | (v0 = 0)))
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | DELTA: instantiating (100) with fresh symbols all_349_0,
% 97.80/13.56 | | | | | | | | | | all_349_1 gives:
% 97.80/13.56 | | | | | | | | | | (101) apply(all_32_6, all_51_0, all_116_0) = all_349_0 &
% 97.80/13.56 | | | | | | | | | | apply(all_32_6, all_51_0, all_41_1) = all_349_1 & (
% 97.80/13.56 | | | | | | | | | | ~ (all_349_0 = 0) | ~ (all_349_1 = 0))
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | ALPHA: (101) implies:
% 97.80/13.56 | | | | | | | | | | (102) apply(all_32_6, all_51_0, all_116_0) = all_349_0
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | REDUCE: (3), (45), (102) imply:
% 97.80/13.56 | | | | | | | | | | (103) apply(all_32_6, all_41_2, all_41_0) = all_349_0
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | BETA: splitting (23) gives:
% 97.80/13.56 | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | Case 1:
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | (104) all_116_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | COMBINE_EQS: (45), (104) imply:
% 97.80/13.56 | | | | | | | | | | | (105) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | SIMP: (105) implies:
% 97.80/13.56 | | | | | | | | | | | (106) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | REDUCE: (20), (106) imply:
% 97.80/13.56 | | | | | | | | | | | (107) $false
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | Case 2:
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | (108) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 97.80/13.56 | | | | | | | | | | | (apply(all_32_6, all_41_2, all_116_0) = v2 &
% 97.80/13.56 | | | | | | | | | | | member(all_41_1, all_32_4) = v1 &
% 97.80/13.56 | | | | | | | | | | | member(all_41_2, all_32_3) = v0 & ( ~ (v2 = 0) |
% 97.80/13.56 | | | | | | | | | | | ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | DELTA: instantiating (108) with fresh symbols all_355_0,
% 97.80/13.56 | | | | | | | | | | | all_355_1, all_355_2 gives:
% 97.80/13.56 | | | | | | | | | | | (109) apply(all_32_6, all_41_2, all_116_0) = all_355_0 &
% 97.80/13.56 | | | | | | | | | | | member(all_41_1, all_32_4) = all_355_1 &
% 97.80/13.56 | | | | | | | | | | | member(all_41_2, all_32_3) = all_355_2 & ( ~
% 97.80/13.56 | | | | | | | | | | | (all_355_0 = 0) | ~ (all_355_1 = 0) | ~
% 97.80/13.56 | | | | | | | | | | | (all_355_2 = 0))
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | ALPHA: (109) implies:
% 97.80/13.56 | | | | | | | | | | | (110) apply(all_32_6, all_41_2, all_116_0) = all_355_0
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | REDUCE: (45), (110) imply:
% 97.80/13.56 | | | | | | | | | | | (111) apply(all_32_6, all_41_2, all_41_0) = all_355_0
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | BETA: splitting (28) gives:
% 97.80/13.56 | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | Case 1:
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | (112) all_116_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (45), (112) imply:
% 97.80/13.56 | | | | | | | | | | | | (113) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (113) implies:
% 97.80/13.56 | | | | | | | | | | | | (114) all_41_0 = all_41_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | REDUCE: (20), (114) imply:
% 97.80/13.56 | | | | | | | | | | | | (115) $false
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | Case 2:
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | (116) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.56 | | | | | | | | | | | | all_112_0, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.56 | | | | | | | | | | | | all_112_0, all_41_1) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.56 | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | DELTA: instantiating (116) with fresh symbols all_361_0,
% 97.80/13.56 | | | | | | | | | | | | all_361_1 gives:
% 97.80/13.56 | | | | | | | | | | | | (117) apply(all_32_6, all_112_0, all_116_0) = all_361_0
% 97.80/13.56 | | | | | | | | | | | | & apply(all_32_6, all_112_0, all_41_1) = all_361_1
% 97.80/13.56 | | | | | | | | | | | | & ( ~ (all_361_0 = 0) | ~ (all_361_1 = 0))
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | ALPHA: (117) implies:
% 97.80/13.56 | | | | | | | | | | | | (118) apply(all_32_6, all_112_0, all_116_0) = all_361_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | REDUCE: (1), (45), (118) imply:
% 97.80/13.56 | | | | | | | | | | | | (119) apply(all_32_6, all_41_2, all_41_0) = all_361_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_66_0, all_259_1,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (12), (43) gives:
% 97.80/13.56 | | | | | | | | | | | | (120) all_259_1 = all_66_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_259_1, all_325_1,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (43), (71) gives:
% 97.80/13.56 | | | | | | | | | | | | (121) all_325_1 = all_259_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with 0, all_325_1, all_41_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (44), (71)
% 97.80/13.56 | | | | | | | | | | | | gives:
% 97.80/13.56 | | | | | | | | | | | | (122) all_325_1 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_295_1, all_331_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (54), (79) gives:
% 97.80/13.56 | | | | | | | | | | | | (123) all_331_0 = all_295_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_259_1, all_331_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (43), (79) gives:
% 97.80/13.56 | | | | | | | | | | | | (124) all_331_0 = all_259_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_331_0, all_337_1,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (79), (87) gives:
% 97.80/13.56 | | | | | | | | | | | | (125) all_337_1 = all_331_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_325_1, all_343_1,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (71), (95) gives:
% 97.80/13.56 | | | | | | | | | | | | (126) all_343_1 = all_325_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_343_1, all_349_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (95), (103) gives:
% 97.80/13.56 | | | | | | | | | | | | (127) all_349_0 = all_343_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_307_0, all_349_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (62), (103) gives:
% 97.80/13.56 | | | | | | | | | | | | (128) all_349_0 = all_307_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_337_1, all_355_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (87), (111) gives:
% 97.80/13.56 | | | | | | | | | | | | (129) all_355_0 = all_337_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_355_0, all_361_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (111), (119) gives:
% 97.80/13.56 | | | | | | | | | | | | (130) all_361_0 = all_355_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_158_0, all_361_0,
% 97.80/13.56 | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.56 | | | | | | | | | | | | (35), (119) gives:
% 97.80/13.56 | | | | | | | | | | | | (131) all_361_0 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (130), (131) imply:
% 97.80/13.56 | | | | | | | | | | | | (132) all_355_0 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (132) implies:
% 97.80/13.56 | | | | | | | | | | | | (133) all_355_0 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (129), (133) imply:
% 97.80/13.56 | | | | | | | | | | | | (134) all_337_1 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (134) implies:
% 97.80/13.56 | | | | | | | | | | | | (135) all_337_1 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (127), (128) imply:
% 97.80/13.56 | | | | | | | | | | | | (136) all_343_1 = all_307_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (136) implies:
% 97.80/13.56 | | | | | | | | | | | | (137) all_343_1 = all_307_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (126), (137) imply:
% 97.80/13.56 | | | | | | | | | | | | (138) all_325_1 = all_307_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (138) implies:
% 97.80/13.56 | | | | | | | | | | | | (139) all_325_1 = all_307_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (125), (135) imply:
% 97.80/13.56 | | | | | | | | | | | | (140) all_331_0 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (140) implies:
% 97.80/13.56 | | | | | | | | | | | | (141) all_331_0 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (123), (141) imply:
% 97.80/13.56 | | | | | | | | | | | | (142) all_295_1 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (123), (124) imply:
% 97.80/13.56 | | | | | | | | | | | | (143) all_295_1 = all_259_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (122), (139) imply:
% 97.80/13.56 | | | | | | | | | | | | (144) all_307_0 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (121), (139) imply:
% 97.80/13.56 | | | | | | | | | | | | (145) all_307_0 = all_259_1
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (144), (145) imply:
% 97.80/13.56 | | | | | | | | | | | | (146) all_259_1 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (146) implies:
% 97.80/13.56 | | | | | | | | | | | | (147) all_259_1 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (142), (143) imply:
% 97.80/13.56 | | | | | | | | | | | | (148) all_259_1 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (148) implies:
% 97.80/13.56 | | | | | | | | | | | | (149) all_259_1 = all_158_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (120), (149) imply:
% 97.80/13.56 | | | | | | | | | | | | (150) all_158_0 = all_66_0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (147), (149) imply:
% 97.80/13.56 | | | | | | | | | | | | (151) all_158_0 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | COMBINE_EQS: (150), (151) imply:
% 97.80/13.56 | | | | | | | | | | | | (152) all_66_0 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | SIMP: (152) implies:
% 97.80/13.56 | | | | | | | | | | | | (153) all_66_0 = 0
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | REDUCE: (9), (153) imply:
% 97.80/13.56 | | | | | | | | | | | | (154) $false
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.56 | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 97.80/13.56 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | End of split
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | End of split
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | End of split
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | End of split
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | End of split
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | End of split
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | End of split
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | End of split
% 97.80/13.57 | | | |
% 97.80/13.57 | | | End of split
% 97.80/13.57 | | |
% 97.80/13.57 | | Case 2:
% 97.80/13.57 | | |
% 97.80/13.57 | | | (155) ~ (all_116_0 = all_41_0)
% 97.80/13.57 | | | (156) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_120_3,
% 97.80/13.57 | | | all_116_0) = v1 & apply(all_32_6, all_120_3, all_41_0) = v0 &
% 97.80/13.57 | | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.57 | | |
% 97.80/13.57 | | | DELTA: instantiating (156) with fresh symbols all_285_0, all_285_1 gives:
% 97.80/13.57 | | | (157) apply(all_32_6, all_120_3, all_116_0) = all_285_0 &
% 97.80/13.57 | | | apply(all_32_6, all_120_3, all_41_0) = all_285_1 & ( ~ (all_285_0
% 97.80/13.57 | | | = 0) | ~ (all_285_1 = 0))
% 97.80/13.57 | | |
% 97.80/13.57 | | | ALPHA: (157) implies:
% 97.80/13.57 | | | (158) apply(all_32_6, all_120_3, all_41_0) = all_285_1
% 97.80/13.57 | | |
% 97.80/13.57 | | | REDUCE: (42), (158) imply:
% 97.80/13.57 | | | (159) apply(all_32_6, all_41_2, all_41_0) = all_285_1
% 97.80/13.57 | | |
% 97.80/13.57 | | | BETA: splitting (16) gives:
% 97.80/13.57 | | |
% 97.80/13.57 | | | Case 1:
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | (160) all_116_0 = all_41_0
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | REDUCE: (155), (160) imply:
% 97.80/13.57 | | | | (161) $false
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | CLOSE: (161) is inconsistent.
% 97.80/13.57 | | | |
% 97.80/13.57 | | | Case 2:
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | (162) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_120_3,
% 97.80/13.57 | | | | all_116_0) = v0 & apply(all_32_6, all_120_3, all_41_0) = v1
% 97.80/13.57 | | | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | DELTA: instantiating (162) with fresh symbols all_291_0, all_291_1
% 97.80/13.57 | | | | gives:
% 97.80/13.57 | | | | (163) apply(all_32_6, all_120_3, all_116_0) = all_291_1 &
% 97.80/13.57 | | | | apply(all_32_6, all_120_3, all_41_0) = all_291_0 & ( ~
% 97.80/13.57 | | | | (all_291_0 = 0) | ~ (all_291_1 = 0))
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | ALPHA: (163) implies:
% 97.80/13.57 | | | | (164) apply(all_32_6, all_120_3, all_41_0) = all_291_0
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | REDUCE: (42), (164) imply:
% 97.80/13.57 | | | | (165) apply(all_32_6, all_41_2, all_41_0) = all_291_0
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | BETA: splitting (8) gives:
% 97.80/13.57 | | | |
% 97.80/13.57 | | | | Case 1:
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | (166) all_116_0 = all_41_0
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | REDUCE: (155), (166) imply:
% 97.80/13.57 | | | | | (167) $false
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | CLOSE: (167) is inconsistent.
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | Case 2:
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | (168) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_112_0,
% 97.80/13.57 | | | | | all_116_0) = v0 & apply(all_32_6, all_112_0, all_41_0) =
% 97.80/13.57 | | | | | v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | DELTA: instantiating (168) with fresh symbols all_302_0, all_302_1
% 97.80/13.57 | | | | | gives:
% 97.80/13.57 | | | | | (169) apply(all_32_6, all_112_0, all_116_0) = all_302_1 &
% 97.80/13.57 | | | | | apply(all_32_6, all_112_0, all_41_0) = all_302_0 & ( ~
% 97.80/13.57 | | | | | (all_302_0 = 0) | ~ (all_302_1 = 0))
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | ALPHA: (169) implies:
% 97.80/13.57 | | | | | (170) apply(all_32_6, all_112_0, all_41_0) = all_302_0
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | REDUCE: (1), (170) imply:
% 97.80/13.57 | | | | | (171) apply(all_32_6, all_41_2, all_41_0) = all_302_0
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | BETA: splitting (22) gives:
% 97.80/13.57 | | | | |
% 97.80/13.57 | | | | | Case 1:
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | (172) all_116_0 = all_41_0
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | REDUCE: (155), (172) imply:
% 97.80/13.57 | | | | | | (173) $false
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | CLOSE: (173) is inconsistent.
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | Case 2:
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | (174) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_112_0,
% 97.80/13.57 | | | | | | all_116_0) = v1 & apply(all_32_6, all_112_0, all_41_0)
% 97.80/13.57 | | | | | | = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | DELTA: instantiating (174) with fresh symbols all_323_0, all_323_1
% 97.80/13.57 | | | | | | gives:
% 97.80/13.57 | | | | | | (175) apply(all_32_6, all_112_0, all_116_0) = all_323_0 &
% 97.80/13.57 | | | | | | apply(all_32_6, all_112_0, all_41_0) = all_323_1 & ( ~
% 97.80/13.57 | | | | | | (all_323_0 = 0) | ~ (all_323_1 = 0))
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | ALPHA: (175) implies:
% 97.80/13.57 | | | | | | (176) apply(all_32_6, all_112_0, all_41_0) = all_323_1
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | REDUCE: (1), (176) imply:
% 97.80/13.57 | | | | | | (177) apply(all_32_6, all_41_2, all_41_0) = all_323_1
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | BETA: splitting (25) gives:
% 97.80/13.57 | | | | | |
% 97.80/13.57 | | | | | | Case 1:
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | (178) all_108_0 = all_41_1
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | COMBINE_EQS: (38), (178) imply:
% 97.80/13.57 | | | | | | | (179) all_41_0 = all_41_1
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | REDUCE: (20), (179) imply:
% 97.80/13.57 | | | | | | | (180) $false
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | CLOSE: (180) is inconsistent.
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | Case 2:
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | (181) ~ (all_108_0 = all_41_1)
% 97.80/13.57 | | | | | | | (182) ? [v0: any] : ? [v1: any] : (apply(all_32_6, all_41_2,
% 97.80/13.57 | | | | | | | all_108_0) = v0 & apply(all_32_6, all_41_2, all_41_1)
% 97.80/13.57 | | | | | | | = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | DELTA: instantiating (182) with fresh symbols all_329_0, all_329_1
% 97.80/13.57 | | | | | | | gives:
% 97.80/13.57 | | | | | | | (183) apply(all_32_6, all_41_2, all_108_0) = all_329_1 &
% 97.80/13.57 | | | | | | | apply(all_32_6, all_41_2, all_41_1) = all_329_0 & ( ~
% 97.80/13.57 | | | | | | | (all_329_0 = 0) | ~ (all_329_1 = 0))
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | ALPHA: (183) implies:
% 97.80/13.57 | | | | | | | (184) apply(all_32_6, all_41_2, all_108_0) = all_329_1
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | REDUCE: (38), (184) imply:
% 97.80/13.57 | | | | | | | (185) apply(all_32_6, all_41_2, all_41_0) = all_329_1
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | BETA: splitting (24) gives:
% 97.80/13.57 | | | | | | |
% 97.80/13.57 | | | | | | | Case 1:
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | (186) all_108_0 = all_41_1
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | COMBINE_EQS: (38), (186) imply:
% 97.80/13.57 | | | | | | | | (187) all_41_0 = all_41_1
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | REDUCE: (20), (187) imply:
% 97.80/13.57 | | | | | | | | (188) $false
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | CLOSE: (188) is inconsistent.
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | Case 2:
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | (189) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.57 | | | | | | | | all_41_2, all_108_0) = v1 & apply(all_32_6,
% 97.80/13.57 | | | | | | | | all_41_2, all_41_1) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 97.80/13.57 | | | | | | | | 0)))
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | DELTA: instantiating (189) with fresh symbols all_335_0,
% 97.80/13.57 | | | | | | | | all_335_1 gives:
% 97.80/13.57 | | | | | | | | (190) apply(all_32_6, all_41_2, all_108_0) = all_335_0 &
% 97.80/13.57 | | | | | | | | apply(all_32_6, all_41_2, all_41_1) = all_335_1 & ( ~
% 97.80/13.57 | | | | | | | | (all_335_0 = 0) | ~ (all_335_1 = 0))
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | ALPHA: (190) implies:
% 97.80/13.57 | | | | | | | | (191) apply(all_32_6, all_41_2, all_108_0) = all_335_0
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | REDUCE: (38), (191) imply:
% 97.80/13.57 | | | | | | | | (192) apply(all_32_6, all_41_2, all_41_0) = all_335_0
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | BETA: splitting (36) gives:
% 97.80/13.57 | | | | | | | |
% 97.80/13.57 | | | | | | | | Case 1:
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | (193) all_116_0 = all_41_0
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | REDUCE: (155), (193) imply:
% 97.80/13.57 | | | | | | | | | (194) $false
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | CLOSE: (194) is inconsistent.
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | Case 2:
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | (195) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.57 | | | | | | | | | all_41_2, all_116_0) = v0 & apply(all_32_6,
% 97.80/13.57 | | | | | | | | | all_41_2, all_41_0) = v1 & ( ~ (v1 = 0) | ~ (v0
% 97.80/13.57 | | | | | | | | | = 0)))
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | DELTA: instantiating (195) with fresh symbols all_347_0,
% 97.80/13.57 | | | | | | | | | all_347_1 gives:
% 97.80/13.57 | | | | | | | | | (196) apply(all_32_6, all_41_2, all_116_0) = all_347_1 &
% 97.80/13.57 | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = all_347_0 & ( ~
% 97.80/13.57 | | | | | | | | | (all_347_0 = 0) | ~ (all_347_1 = 0))
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | ALPHA: (196) implies:
% 97.80/13.57 | | | | | | | | | (197) apply(all_32_6, all_41_2, all_41_0) = all_347_0
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | BETA: splitting (7) gives:
% 97.80/13.57 | | | | | | | | |
% 97.80/13.57 | | | | | | | | | Case 1:
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | (198) all_116_0 = all_108_0
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | COMBINE_EQS: (38), (198) imply:
% 97.80/13.57 | | | | | | | | | | (199) all_116_0 = all_41_0
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | REDUCE: (155), (199) imply:
% 97.80/13.57 | | | | | | | | | | (200) $false
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | CLOSE: (200) is inconsistent.
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | Case 2:
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | (201) ~ (all_116_0 = all_108_0)
% 97.80/13.57 | | | | | | | | | | (202) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.57 | | | | | | | | | | all_120_3, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.57 | | | | | | | | | | all_120_3, all_108_0) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.57 | | | | | | | | | | (v0 = 0)))
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | DELTA: instantiating (202) with fresh symbols all_371_0,
% 97.80/13.57 | | | | | | | | | | all_371_1 gives:
% 97.80/13.57 | | | | | | | | | | (203) apply(all_32_6, all_120_3, all_116_0) = all_371_0 &
% 97.80/13.57 | | | | | | | | | | apply(all_32_6, all_120_3, all_108_0) = all_371_1 &
% 97.80/13.57 | | | | | | | | | | ( ~ (all_371_0 = 0) | ~ (all_371_1 = 0))
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | ALPHA: (203) implies:
% 97.80/13.57 | | | | | | | | | | (204) apply(all_32_6, all_120_3, all_108_0) = all_371_1
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | REDUCE: (38), (42), (204) imply:
% 97.80/13.57 | | | | | | | | | | (205) apply(all_32_6, all_41_2, all_41_0) = all_371_1
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | BETA: splitting (15) gives:
% 97.80/13.57 | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | Case 1:
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | (206) all_116_0 = all_108_0
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | COMBINE_EQS: (38), (206) imply:
% 97.80/13.57 | | | | | | | | | | | (207) all_116_0 = all_41_0
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | REDUCE: (155), (207) imply:
% 97.80/13.57 | | | | | | | | | | | (208) $false
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | Case 2:
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | (209) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.57 | | | | | | | | | | | all_51_0, all_116_0) = v0 & apply(all_32_6,
% 97.80/13.57 | | | | | | | | | | | all_51_0, all_108_0) = v1 & ( ~ (v1 = 0) | ~
% 97.80/13.57 | | | | | | | | | | | (v0 = 0)))
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | DELTA: instantiating (209) with fresh symbols all_377_0,
% 97.80/13.57 | | | | | | | | | | | all_377_1 gives:
% 97.80/13.57 | | | | | | | | | | | (210) apply(all_32_6, all_51_0, all_116_0) = all_377_1 &
% 97.80/13.57 | | | | | | | | | | | apply(all_32_6, all_51_0, all_108_0) = all_377_0 &
% 97.80/13.57 | | | | | | | | | | | ( ~ (all_377_0 = 0) | ~ (all_377_1 = 0))
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | ALPHA: (210) implies:
% 97.80/13.57 | | | | | | | | | | | (211) apply(all_32_6, all_51_0, all_108_0) = all_377_0
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | REDUCE: (3), (38), (211) imply:
% 97.80/13.57 | | | | | | | | | | | (212) apply(all_32_6, all_41_2, all_41_0) = all_377_0
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | BETA: splitting (33) gives:
% 97.80/13.57 | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | Case 1:
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | | (213) all_116_0 = all_108_0
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | | COMBINE_EQS: (38), (213) imply:
% 97.80/13.57 | | | | | | | | | | | | (214) all_116_0 = all_41_0
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | | REDUCE: (155), (214) imply:
% 97.80/13.57 | | | | | | | | | | | | (215) $false
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.57 | | | | | | | | | | | Case 2:
% 97.80/13.57 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | (216) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | all_51_0, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | all_51_0, all_108_0) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.58 | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.58 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | DELTA: instantiating (216) with fresh symbols all_383_0,
% 97.80/13.58 | | | | | | | | | | | | all_383_1 gives:
% 97.80/13.58 | | | | | | | | | | | | (217) apply(all_32_6, all_51_0, all_116_0) = all_383_0 &
% 97.80/13.58 | | | | | | | | | | | | apply(all_32_6, all_51_0, all_108_0) = all_383_1 &
% 97.80/13.58 | | | | | | | | | | | | ( ~ (all_383_0 = 0) | ~ (all_383_1 = 0))
% 97.80/13.58 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | ALPHA: (217) implies:
% 97.80/13.58 | | | | | | | | | | | | (218) apply(all_32_6, all_51_0, all_108_0) = all_383_1
% 97.80/13.58 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | REDUCE: (3), (38), (218) imply:
% 97.80/13.58 | | | | | | | | | | | | (219) apply(all_32_6, all_41_2, all_41_0) = all_383_1
% 97.80/13.58 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | BETA: splitting (34) gives:
% 97.80/13.58 | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | Case 1:
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | (220) all_116_0 = all_41_0
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | REDUCE: (155), (220) imply:
% 97.80/13.58 | | | | | | | | | | | | | (221) $false
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | CLOSE: (221) is inconsistent.
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | Case 2:
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | (222) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | all_51_0, all_116_0) = v0 & apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | all_51_0, all_41_0) = v1 & ( ~ (v1 = 0) | ~
% 97.80/13.58 | | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | DELTA: instantiating (222) with fresh symbols all_401_0,
% 97.80/13.58 | | | | | | | | | | | | | all_401_1 gives:
% 97.80/13.58 | | | | | | | | | | | | | (223) apply(all_32_6, all_51_0, all_116_0) = all_401_1 &
% 97.80/13.58 | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_401_0 &
% 97.80/13.58 | | | | | | | | | | | | | ( ~ (all_401_0 = 0) | ~ (all_401_1 = 0))
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | ALPHA: (223) implies:
% 97.80/13.58 | | | | | | | | | | | | | (224) apply(all_32_6, all_51_0, all_41_0) = all_401_0
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | REDUCE: (3), (224) imply:
% 97.80/13.58 | | | | | | | | | | | | | (225) apply(all_32_6, all_41_2, all_41_0) = all_401_0
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | BETA: splitting (39) gives:
% 97.80/13.58 | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | Case 1:
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | (226) all_116_0 = all_41_0
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | REDUCE: (155), (226) imply:
% 97.80/13.58 | | | | | | | | | | | | | | (227) $false
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | Case 2:
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | (228) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | all_41_2, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | all_41_2, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.58 | | | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | DELTA: instantiating (228) with fresh symbols all_407_0,
% 97.80/13.58 | | | | | | | | | | | | | | all_407_1 gives:
% 97.80/13.58 | | | | | | | | | | | | | | (229) apply(all_32_6, all_41_2, all_116_0) = all_407_0 &
% 97.80/13.58 | | | | | | | | | | | | | | apply(all_32_6, all_41_2, all_41_0) = all_407_1 &
% 97.80/13.58 | | | | | | | | | | | | | | ( ~ (all_407_0 = 0) | ~ (all_407_1 = 0))
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | ALPHA: (229) implies:
% 97.80/13.58 | | | | | | | | | | | | | | (230) apply(all_32_6, all_41_2, all_41_0) = all_407_1
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 97.80/13.58 | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | Case 1:
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | (231) all_118_3 = all_116_0
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | COMBINE_EQS: (2), (231) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | (232) all_116_0 = all_41_0
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | REDUCE: (155), (232) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | (233) $false
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | Case 2:
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | (234) ~ (all_118_3 = all_116_0)
% 97.80/13.58 | | | | | | | | | | | | | | | (235) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | | all_120_3, all_118_3) = v0 & apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | | all_120_3, all_116_0) = v1 & ( ~ (v1 = 0) | ~
% 97.80/13.58 | | | | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | DELTA: instantiating (235) with fresh symbols all_413_0,
% 97.80/13.58 | | | | | | | | | | | | | | | all_413_1 gives:
% 97.80/13.58 | | | | | | | | | | | | | | | (236) apply(all_32_6, all_120_3, all_118_3) = all_413_1
% 97.80/13.58 | | | | | | | | | | | | | | | & apply(all_32_6, all_120_3, all_116_0) =
% 97.80/13.58 | | | | | | | | | | | | | | | all_413_0 & ( ~ (all_413_0 = 0) | ~ (all_413_1 =
% 97.80/13.58 | | | | | | | | | | | | | | | 0))
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | (237) apply(all_32_6, all_120_3, all_118_3) = all_413_1
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | REDUCE: (2), (234) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | (238) ~ (all_116_0 = all_41_0)
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | REDUCE: (2), (42), (237) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | (239) apply(all_32_6, all_41_2, all_41_0) = all_413_1
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 97.80/13.58 | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | Case 1:
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | (240) all_116_0 = all_41_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | REDUCE: (155), (240) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (241) $false
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent.
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | Case 2:
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | (242) ? [v0: any] : ? [v1: any] : (apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_51_0, all_116_0) = v1 & apply(all_32_6,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_51_0, all_41_0) = v0 & ( ~ (v1 = 0) | ~
% 97.80/13.58 | | | | | | | | | | | | | | | | (v0 = 0)))
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | DELTA: instantiating (242) with fresh symbols all_425_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_425_1 gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (243) apply(all_32_6, all_51_0, all_116_0) = all_425_0 &
% 97.80/13.58 | | | | | | | | | | | | | | | | apply(all_32_6, all_51_0, all_41_0) = all_425_1 &
% 97.80/13.58 | | | | | | | | | | | | | | | | ( ~ (all_425_0 = 0) | ~ (all_425_1 = 0))
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (244) apply(all_32_6, all_51_0, all_41_0) = all_425_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | REDUCE: (3), (244) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (245) apply(all_32_6, all_41_2, all_41_0) = all_425_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_158_0, all_302_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (35), (171) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (246) all_302_0 = all_158_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_158_0, all_323_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (35), (177) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (247) all_323_1 = all_158_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_66_0, all_347_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (12), (197) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (248) all_347_0 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_329_1, all_347_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (185), (197) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (249) all_347_0 = all_329_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_302_0, all_347_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (171), (197) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (250) all_347_0 = all_302_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_323_1, all_371_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (177), (205) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (251) all_371_1 = all_323_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_259_1, all_371_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (43), (205) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (252) all_371_1 = all_259_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_335_0, all_377_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (192), (212) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (253) all_377_0 = all_335_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_291_0, all_377_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (165), (212) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (254) all_377_0 = all_291_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_335_0, all_401_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (192), (225) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (255) all_401_0 = all_335_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with 0, all_401_0, all_41_0,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_2, all_32_6, simplifying with (44), (225)
% 97.80/13.58 | | | | | | | | | | | | | | | | gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (256) all_401_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_383_1, all_407_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (219), (230) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (257) all_407_1 = all_383_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_377_0, all_407_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (212), (230) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (258) all_407_1 = all_377_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_323_1, all_407_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (177), (230) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (259) all_407_1 = all_323_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_407_1, all_413_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (230), (239) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (260) all_413_1 = all_407_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_413_1, all_425_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (239), (245) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (261) all_425_1 = all_413_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_285_1, all_425_1,
% 97.80/13.58 | | | | | | | | | | | | | | | | all_41_0, all_41_2, all_32_6, simplifying with
% 97.80/13.58 | | | | | | | | | | | | | | | | (159), (245) gives:
% 97.80/13.58 | | | | | | | | | | | | | | | | (262) all_425_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (262) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (263) all_413_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (264) all_413_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (264) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (265) all_407_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (266) all_407_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (266) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (267) all_383_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (259) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (268) all_383_1 = all_323_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (258) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (269) all_383_1 = all_377_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (256) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (270) all_335_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (270) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (271) all_335_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (268) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (272) all_323_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (272) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (273) all_323_1 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (269) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (274) all_377_0 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (275) all_377_0 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (275) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (276) all_291_0 = all_285_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (254) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (277) all_335_0 = all_291_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (278) all_335_0 = all_291_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (252) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (279) all_323_1 = all_259_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (280) all_323_1 = all_259_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (250) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (281) all_329_1 = all_302_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (249) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (282) all_329_1 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (278) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (283) all_291_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (283) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (284) all_291_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (282) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (285) all_302_0 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (285) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (286) all_302_0 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (280) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (287) all_259_1 = all_158_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (280) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (288) all_285_1 = all_259_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (288) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (289) all_285_1 = all_259_1
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (286) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (290) all_158_0 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (290) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (291) all_158_0 = all_66_0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (284) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (292) all_285_1 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (292) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (293) all_285_1 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (293) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (294) all_259_1 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (294) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (295) all_259_1 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (295) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (296) all_158_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (297) all_158_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (297) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (298) all_66_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 97.80/13.58 | | | | | | | | | | | | | | | | (299) all_66_0 = 0
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | REDUCE: (9), (299) imply:
% 97.80/13.58 | | | | | | | | | | | | | | | | (300) $false
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.58 | | | | | | | | | | | | | | | | CLOSE: (300) is inconsistent.
% 97.80/13.58 | | | | | | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | | |
% 97.80/13.59 | | | | | | | | | End of split
% 97.80/13.59 | | | | | | | | |
% 97.80/13.59 | | | | | | | | End of split
% 97.80/13.59 | | | | | | | |
% 97.80/13.59 | | | | | | | End of split
% 97.80/13.59 | | | | | | |
% 97.80/13.59 | | | | | | End of split
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | End of split
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | End of split
% 97.80/13.59 | | | |
% 97.80/13.59 | | | End of split
% 97.80/13.59 | | |
% 97.80/13.59 | | End of split
% 97.80/13.59 | |
% 97.80/13.59 | Case 2:
% 97.80/13.59 | |
% 97.80/13.59 | | (301) ~ (all_120_3 = all_112_0)
% 97.80/13.59 | | (302) ? [v0: any] : ? [v1: any] : (apply(all_32_7, all_108_0,
% 97.80/13.59 | | all_120_3) = v0 & apply(all_32_7, all_108_0, all_112_0) = v1 &
% 97.80/13.59 | | ( ~ (v1 = 0) | ~ (v0 = 0)))
% 97.80/13.59 | |
% 97.80/13.59 | | DELTA: instantiating (302) with fresh symbols all_281_0, all_281_1 gives:
% 97.80/13.59 | | (303) apply(all_32_7, all_108_0, all_120_3) = all_281_1 & apply(all_32_7,
% 97.80/13.59 | | all_108_0, all_112_0) = all_281_0 & ( ~ (all_281_0 = 0) | ~
% 97.80/13.59 | | (all_281_1 = 0))
% 97.80/13.59 | |
% 97.80/13.59 | | ALPHA: (303) implies:
% 97.80/13.59 | | (304) apply(all_32_7, all_108_0, all_120_3) = all_281_1
% 97.80/13.59 | |
% 97.80/13.59 | | REDUCE: (1), (301) imply:
% 97.80/13.59 | | (305) ~ (all_120_3 = all_41_2)
% 97.80/13.59 | |
% 97.80/13.59 | | REDUCE: (38), (304) imply:
% 97.80/13.59 | | (306) apply(all_32_7, all_41_0, all_120_3) = all_281_1
% 97.80/13.59 | |
% 97.80/13.59 | | BETA: splitting (17) gives:
% 97.80/13.59 | |
% 97.80/13.59 | | Case 1:
% 97.80/13.59 | | |
% 97.80/13.59 | | | (307) all_120_3 = all_51_0
% 97.80/13.59 | | |
% 97.80/13.59 | | | COMBINE_EQS: (3), (307) imply:
% 97.80/13.59 | | | (308) all_120_3 = all_41_2
% 97.80/13.59 | | |
% 97.80/13.59 | | | REDUCE: (305), (308) imply:
% 97.80/13.59 | | | (309) $false
% 97.80/13.59 | | |
% 97.80/13.59 | | | CLOSE: (309) is inconsistent.
% 97.80/13.59 | | |
% 97.80/13.59 | | Case 2:
% 97.80/13.59 | | |
% 97.80/13.59 | | | (310) ? [v0: any] : ? [v1: any] : ? [v2: any] : (apply(all_32_7,
% 97.80/13.59 | | | all_41_0, all_120_3) = v2 & member(all_51_0, all_32_3) = v1 &
% 97.80/13.59 | | | member(all_41_0, all_32_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 97.80/13.59 | | | ~ (v0 = 0)))
% 97.80/13.59 | | |
% 97.80/13.59 | | | DELTA: instantiating (310) with fresh symbols all_287_0, all_287_1,
% 97.80/13.59 | | | all_287_2 gives:
% 97.80/13.59 | | | (311) apply(all_32_7, all_41_0, all_120_3) = all_287_0 &
% 97.80/13.59 | | | member(all_51_0, all_32_3) = all_287_1 & member(all_41_0,
% 97.80/13.59 | | | all_32_4) = all_287_2 & ( ~ (all_287_0 = 0) | ~ (all_287_1 =
% 97.80/13.59 | | | 0) | ~ (all_287_2 = 0))
% 97.80/13.59 | | |
% 97.80/13.59 | | | ALPHA: (311) implies:
% 97.80/13.59 | | | (312) member(all_41_0, all_32_4) = all_287_2
% 97.80/13.59 | | | (313) member(all_51_0, all_32_3) = all_287_1
% 97.80/13.59 | | | (314) apply(all_32_7, all_41_0, all_120_3) = all_287_0
% 97.80/13.59 | | | (315) ~ (all_287_0 = 0) | ~ (all_287_1 = 0) | ~ (all_287_2 = 0)
% 97.80/13.59 | | |
% 97.80/13.59 | | | REDUCE: (3), (313) imply:
% 97.80/13.59 | | | (316) member(all_41_2, all_32_3) = all_287_1
% 97.80/13.59 | | |
% 97.80/13.59 | | | BETA: splitting (27) gives:
% 97.80/13.59 | | |
% 97.80/13.59 | | | Case 1:
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | (317) all_108_0 = all_41_1
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | COMBINE_EQS: (38), (317) imply:
% 97.80/13.59 | | | | (318) all_41_0 = all_41_1
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | REDUCE: (20), (318) imply:
% 97.80/13.59 | | | | (319) $false
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | CLOSE: (319) is inconsistent.
% 97.80/13.59 | | | |
% 97.80/13.59 | | | Case 2:
% 97.80/13.59 | | | |
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | GROUND_INST: instantiating (4) with 0, all_287_1, all_32_3, all_41_2,
% 97.80/13.59 | | | | simplifying with (11), (316) gives:
% 97.80/13.59 | | | | (320) all_287_1 = 0
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | GROUND_INST: instantiating (4) with 0, all_287_2, all_32_4, all_41_0,
% 97.80/13.59 | | | | simplifying with (30), (312) gives:
% 97.80/13.59 | | | | (321) all_287_2 = 0
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | GROUND_INST: instantiating (6) with 0, all_287_0, all_120_3, all_41_0,
% 97.80/13.59 | | | | all_32_7, simplifying with (5), (314) gives:
% 97.80/13.59 | | | | (322) all_287_0 = 0
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | GROUND_INST: instantiating (6) with all_281_1, all_287_0, all_120_3,
% 97.80/13.59 | | | | all_41_0, all_32_7, simplifying with (306), (314) gives:
% 97.80/13.59 | | | | (323) all_287_0 = all_281_1
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | COMBINE_EQS: (322), (323) imply:
% 97.80/13.59 | | | | (324) all_281_1 = 0
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | BETA: splitting (315) gives:
% 97.80/13.59 | | | |
% 97.80/13.59 | | | | Case 1:
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | (325) ~ (all_287_0 = 0)
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | REDUCE: (322), (325) imply:
% 97.80/13.59 | | | | | (326) $false
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | CLOSE: (326) is inconsistent.
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | Case 2:
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | (327) ~ (all_287_1 = 0) | ~ (all_287_2 = 0)
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | BETA: splitting (327) gives:
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | | Case 1:
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | (328) ~ (all_287_1 = 0)
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | REDUCE: (320), (328) imply:
% 97.80/13.59 | | | | | | (329) $false
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | CLOSE: (329) is inconsistent.
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | Case 2:
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | (330) ~ (all_287_2 = 0)
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | REDUCE: (321), (330) imply:
% 97.80/13.59 | | | | | | (331) $false
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | | CLOSE: (331) is inconsistent.
% 97.80/13.59 | | | | | |
% 97.80/13.59 | | | | | End of split
% 97.80/13.59 | | | | |
% 97.80/13.59 | | | | End of split
% 97.80/13.59 | | | |
% 97.80/13.59 | | | End of split
% 97.80/13.59 | | |
% 97.80/13.59 | | End of split
% 97.80/13.59 | |
% 97.80/13.59 | End of split
% 97.80/13.59 |
% 97.80/13.59 End of proof
% 97.80/13.59 % SZS output end Proof for theBenchmark
% 97.80/13.59
% 97.80/13.59 12973ms
%------------------------------------------------------------------------------