TSTP Solution File: SWW002_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW002_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 : Fri Sep 1 00:48:50 EDT 2023
% Result : Theorem 19.31s 3.44s
% Output : Proof 27.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW002_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 21:59:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 6.29/1.75 Prover 1: Preprocessing ...
% 6.29/1.78 Prover 4: Preprocessing ...
% 7.65/1.79 Prover 2: Preprocessing ...
% 7.65/1.79 Prover 5: Preprocessing ...
% 7.65/1.79 Prover 3: Preprocessing ...
% 7.65/1.80 Prover 0: Preprocessing ...
% 7.65/1.80 Prover 6: Preprocessing ...
% 17.12/3.07 Prover 1: Constructing countermodel ...
% 17.12/3.07 Prover 6: Proving ...
% 17.12/3.08 Prover 3: Constructing countermodel ...
% 19.31/3.44 Prover 3: proved (2810ms)
% 19.31/3.44
% 19.31/3.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.31/3.44
% 19.31/3.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 20.17/3.50 Prover 6: stopped
% 20.17/3.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 21.65/3.73 Prover 7: Preprocessing ...
% 21.65/3.76 Prover 4: Constructing countermodel ...
% 22.33/3.77 Prover 8: Preprocessing ...
% 23.51/3.97 Prover 2: Proving ...
% 23.51/3.98 Prover 5: Proving ...
% 23.96/3.98 Prover 5: stopped
% 23.96/3.99 Prover 2: stopped
% 23.96/3.99 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 23.96/3.99 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 23.96/4.00 Prover 0: Proving ...
% 23.96/4.01 Prover 0: stopped
% 23.96/4.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 24.53/4.07 Prover 1: Found proof (size 106)
% 24.53/4.07 Prover 1: proved (3441ms)
% 24.68/4.07 Prover 7: stopped
% 24.68/4.13 Prover 8: Warning: ignoring some quantifiers
% 24.68/4.15 Prover 4: stopped
% 24.68/4.16 Prover 8: Constructing countermodel ...
% 24.68/4.16 Prover 8: stopped
% 25.83/4.26 Prover 10: Preprocessing ...
% 25.83/4.29 Prover 11: Preprocessing ...
% 25.83/4.29 Prover 13: Preprocessing ...
% 26.35/4.34 Prover 10: stopped
% 26.69/4.40 Prover 13: stopped
% 27.03/4.46 Prover 11: stopped
% 27.03/4.46
% 27.03/4.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.03/4.46
% 27.03/4.48 % SZS output start Proof for theBenchmark
% 27.12/4.48 Assumptions after simplification:
% 27.12/4.48 ---------------------------------
% 27.12/4.48
% 27.12/4.48 (0)
% 27.40/4.57 ? [v0: int] : ( ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~
% 27.40/4.57 (z4 = z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 27.40/4.57 $lesseq(v0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 & b(z3) = 5 &
% 27.40/4.57 b(z2) = v0 & a(z4) = 7 & a(z2) = 10 & a(z1) = 4 & ! [v1: int] : ! [v2:
% 27.40/4.57 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 =
% 27.40/4.57 v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 3)) | ~
% 27.40/4.57 ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) |
% 27.40/4.57 ~ (b(v3) = v6) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ? [v7: int] : ?
% 27.40/4.57 [v8: int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9
% 27.40/4.57 = 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.57 ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 =
% 27.40/4.57 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5,
% 27.40/4.57 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~
% 27.40/4.57 (b(v3) = 2) | ~ (b(v2) = v6) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8:
% 27.40/4.57 int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 =
% 27.40/4.57 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.57 ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 |
% 27.40/4.57 v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1,
% 27.40/4.57 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 27.40/4.57 (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & (
% 27.40/4.57 ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.57 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 27.40/4.57 v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2)))
% 27.40/4.57 | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 2) | ?
% 27.40/4.57 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 27.40/4.57 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 27.40/4.57 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 27.40/4.57 ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5)
% 27.40/4.57 | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 1) | ? [v6: int] : ?
% 27.40/4.57 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & !
% 27.40/4.57 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 27.40/4.57 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 27.40/4.57 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~
% 27.40/4.57 (b(v2) = v5) | ~ (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7
% 27.40/4.57 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2:
% 27.40/4.57 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 27.40/4.57 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 27.40/4.57 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) =
% 27.40/4.57 v5) | ~ (a(v1) = 4) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2)
% 27.40/4.57 = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : !
% 27.40/4.57 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 27.40/4.57 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 27.40/4.57 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 27.40/4.57 (a(v1) = 2) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~
% 27.40/4.57 (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.57 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 27.40/4.57 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 27.40/4.57 | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 1) | ?
% 27.40/4.57 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 27.40/4.57 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 27.40/4.58 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 27.40/4.58 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 27.40/4.58 | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 27.40/4.58 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.58 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 4) | ? [v6:
% 27.40/4.58 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 27.40/4.58 v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 27.40/4.58 (b(v1) = 5) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 5) | ~ (v7 = 10) | ~ (v6 = 5)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 27.40/4.58 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 27.40/4.58 (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 &
% 27.40/4.58 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2:
% 27.40/4.58 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 27.40/4.58 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 27.40/4.58 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) =
% 27.40/4.58 5) | ~ (a(v3) = 6) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1)
% 27.40/4.58 = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: int] : !
% 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 27.40/4.58 v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~
% 27.40/4.58 (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~
% 27.40/4.58 (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.58 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 27.40/4.58 | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 5) | ?
% 27.40/4.58 [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~
% 27.40/4.58 (v6 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 27.40/4.58 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 27.40/4.58 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 27.40/4.58 | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 27.40/4.58 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.58 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v4) = 2) | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 4) | ? [v6:
% 27.40/4.58 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 27.40/4.58 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 27.40/4.58 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 27.40/4.58 v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~
% 27.40/4.58 (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] :
% 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 =
% 27.40/4.58 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 27.40/4.58 $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) =
% 27.40/4.58 2) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & !
% 27.40/4.58 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 27.40/4.58 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 27.40/4.58 (a(v4) = 1) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 27.40/4.58 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 27.40/4.58 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~
% 27.40/4.58 (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 27.40/4.58 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 27.40/4.58 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 27.40/4.58 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 27.40/4.58 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 27.40/4.58 (a(v1) = 12) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & (
% 27.40/4.58 ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 27.40/4.58 (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 27.40/4.58 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 27.40/4.58 (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 27.40/4.58 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 27.40/4.58 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v4) | ~
% 27.40/4.58 (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = v5)) & ! [v1: int] :
% 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 27.40/4.58 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 27.40/4.58 | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ?
% 27.40/4.58 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7
% 27.40/4.58 = 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int]
% 27.40/4.58 : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) |
% 27.40/4.58 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) |
% 27.40/4.58 ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 27.40/4.58 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 27.40/4.58 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 27.40/4.58 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 27.40/4.58 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 27.40/4.58 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 27.40/4.58 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 6) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 27.40/4.58 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.40/4.58 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.58 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (a(v1) = 12) | ? [v5: int] : ? [v6:
% 27.40/4.58 int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & !
% 27.40/4.58 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1
% 27.40/4.58 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 27.40/4.58 2) | ~ (b(v2) = v4) | ~ (a(v1) = 5) | ? [v5: int] : ? [v6: int] :
% 27.40/4.58 (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] :
% 27.40/4.58 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 4) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 27.40/4.58 ~ (b(v2) = v4) | ~ (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 27.40/4.58 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 27.40/4.58 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.40/4.58 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 27.40/4.58 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 27.40/4.58 | ~ (a(v3) = 8) | ~ (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 27.40/4.58 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 27.40/4.58 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 27.40/4.58 | ~ (b(v2) = v4) | ~ (a(v3) = 8) | ~ (a(v1) = 6) | ? [v5: int] : ( ~
% 27.40/4.58 (v5 = 10) & a(v2) = v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 27.40/4.58 ~ (b(v2) = 2) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 27.40/4.58 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 27.40/4.58 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 27.40/4.58 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 27.40/4.58 : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.58 7) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.58 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.58 ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.58 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.58 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.58 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.58 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.58 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.58 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 27.40/4.58 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.58 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.58 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.58 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 2)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 1)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 27.40/4.59 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 27.40/4.59 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 27.40/4.59 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 27.40/4.59 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 27.40/4.59 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 27.40/4.59 ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 27.40/4.59 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 27.40/4.59 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (a(v3) = 8) |
% 27.40/4.59 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 27.40/4.59 : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.40/4.59 $difference(v1, v2))) | ~ (b(v2) = v3) | ~ (a(v1) = 9) | ? [v4:
% 27.40/4.59 int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] : ! [v2: int] : !
% 27.40/4.59 [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 27.40/4.59 (b(v2) = v3) | ~ (a(v1) = 8) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 27.40/4.59 v4)) & ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ (a(v2) = 10) | ~
% 27.40/4.59 (a(v1) = 10)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 27.40/4.59 (b(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 27.40/4.59 (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(13, v2)) |
% 27.40/4.59 ~ (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(6, v2)) |
% 27.40/4.59 ~ (b(v1) = v2)))
% 27.40/4.59
% 27.40/4.59 (function-axioms)
% 27.40/4.59 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (b(v2) = v1) | ~
% 27.40/4.59 (b(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 27.40/4.59 (a(v2) = v1) | ~ (a(v2) = v0))
% 27.40/4.59
% 27.40/4.59 Those formulas are unsatisfiable:
% 27.40/4.59 ---------------------------------
% 27.40/4.59
% 27.40/4.59 Begin of proof
% 27.40/4.59 |
% 27.40/4.59 | ALPHA: (function-axioms) implies:
% 27.40/4.59 | (1) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1)
% 27.40/4.59 | | ~ (a(v2) = v0))
% 27.40/4.59 |
% 27.40/4.59 | DELTA: instantiating (0) with fresh symbol all_3_0 gives:
% 27.78/4.62 | (2) ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ (z4 =
% 27.78/4.62 | z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 27.78/4.62 | $lesseq(all_3_0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 &
% 27.78/4.62 | b(z3) = 5 & b(z2) = all_3_0 & a(z4) = 7 & a(z2) = 10 & a(z1) = 4 & !
% 27.78/4.62 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | ! [v5: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 27.78/4.62 | (b(v1) = 2) | ~ (b(v0) = v4) | ? [v6: int] : ? [v7: int] : ? [v8:
% 27.78/4.62 | int] : (a(v2) = v8 & a(v1) = v7 & a(v0) = v6 & ( ~ (v8 = 7) | ~
% 27.78/4.62 | (v7 = 10) | ~ (v6 = 3)))) & ! [v0: int] : ! [v1: int] : !
% 27.78/4.62 | [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3
% 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v5, 2)) | ~
% 27.78/4.62 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 27.78/4.62 | 5) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ? [v6:
% 27.78/4.62 | int] : ? [v7: int] : ? [v8: int] : (a(v2) = v8 & a(v1) = v7 &
% 27.78/4.62 | a(v0) = v6 & ( ~ (v8 = 7) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 3))
% 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) =
% 27.78/4.62 | v4) | ~ (b(v1) = 2) | ~ (a(v0) = 12) | ? [v5: int] : ? [v6:
% 27.78/4.62 | int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) &
% 27.78/4.62 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 27.78/4.62 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4,
% 27.78/4.62 | 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~
% 27.78/4.62 | (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 2) | ? [v5: int] : ?
% 27.78/4.62 | [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10))))
% 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 27.78/4.62 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 27.78/4.62 | 5) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v5:
% 27.78/4.62 | int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~
% 27.78/4.62 | (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 27.78/4.62 | [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2
% 27.78/4.62 | = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 27.78/4.62 | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 12) |
% 27.78/4.62 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7)
% 27.78/4.62 | | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 27.78/4.62 | | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 27.78/4.62 | | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 =
% 27.78/4.62 | 7) | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2:
% 27.78/4.62 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 |
% 27.78/4.62 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~
% 27.78/4.62 | (b(v1) = v4) | ~ (a(v0) = 2) | ? [v5: int] : ? [v6: int] : (a(v2)
% 27.78/4.62 | = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: int] :
% 27.78/4.62 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 27.78/4.62 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 27.78/4.62 | ~ (b(v1) = v4) | ~ (a(v0) = 1) | ? [v5: int] : ? [v6: int] :
% 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) =
% 27.78/4.62 | 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 27.78/4.62 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 27.78/4.62 | | ~ (b(v3) = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 27.78/4.62 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = 2) |
% 27.78/4.62 | ~ (b(v1) = v4) | ~ (b(v0) = 5) | ? [v5: int] : ? [v6: int] : ?
% 27.78/4.62 | [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 5) | ~
% 27.78/4.62 | (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : ! [v1: int] : !
% 27.78/4.62 | [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0
% 27.78/4.62 | | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~
% 27.78/4.62 | (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] : (a(v1) =
% 27.78/4.62 | v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] :
% 27.78/4.62 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 27.78/4.62 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4)
% 27.78/4.62 | | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v5: int] : ? [v6: int] :
% 27.78/4.62 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 27.78/4.62 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 27.78/4.62 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 27.78/4.62 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 27.78/4.62 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 27.78/4.62 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 27.78/4.62 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 27.78/4.62 | v4) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 27.78/4.62 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 27.78/4.62 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 27.78/4.62 | | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~ (a(v2) = 8) | ~ (a(v0) = 4)
% 27.78/4.62 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 27.78/4.62 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 27.78/4.62 | | ~ (a(v3) = 2) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 27.78/4.62 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 27.78/4.62 | (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 4) | ?
% 27.78/4.62 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 27.78/4.62 | v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 27.78/4.62 | | ~ (a(v3) = 1) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 27.78/4.62 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 27.78/4.62 | (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ?
% 27.78/4.62 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~
% 27.78/4.62 | (b(v0) = v3) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v2) =
% 27.78/4.62 | v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 8) | ~ (v6 = 10) | ~ (v5
% 27.78/4.62 | = 3)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | 2) | ~ (b(v1) = v4) | ~ (b(v0) = v3) | ? [v5: int] : ? [v6:
% 27.78/4.62 | int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~
% 27.78/4.62 | (v7 = 8) | ~ (v6 = 10) | ~ (v5 = 3)))) & ! [v0: int] : ! [v1:
% 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | v3) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 27.78/4.62 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 27.78/4.62 | | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 27.78/4.62 | ~ (v4 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 27.78/4.62 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 27.78/4.62 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 27.78/4.62 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (a(v0) = 2) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 27.78/4.62 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | v3) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v4: int] : ? [v5: int]
% 27.78/4.62 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 27.78/4.62 | (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : ( ~
% 27.78/4.62 | (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 27.78/4.62 | int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v3)
% 27.78/4.62 | | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & !
% 27.78/4.62 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2
% 27.78/4.62 | = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 27.78/4.62 | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ?
% 27.78/4.62 | [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & (
% 27.78/4.62 | ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 27.78/4.62 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 27.78/4.62 | | ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 27.78/4.62 | v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 27.78/4.62 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 27.78/4.62 | ~ (v4 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 27.78/4.62 | = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 27.78/4.62 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 27.78/4.62 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 27.78/4.62 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 6) | ~ (v5 = 10) | ~ (v4
% 27.78/4.62 | = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 27.78/4.62 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 27.78/4.62 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 27.78/4.62 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 27.78/4.62 | v3) | ~ (a(v0) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 27.78/4.62 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | 2) | ~ (b(v1) = v3) | ~ (a(v0) = 4) | ? [v4: int] : ? [v5: int]
% 27.78/4.62 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 27.78/4.62 | (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 2) | ? [v4: int] : ?
% 27.78/4.62 | [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10))))
% 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 27.78/4.62 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 1) | ?
% 27.78/4.62 | [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) |
% 27.78/4.62 | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 27.78/4.62 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 27.78/4.62 | $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ~
% 27.78/4.62 | (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & a(v0) = v4
% 27.78/4.62 | & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: int] : ! [v1: int] : !
% 27.78/4.62 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) =
% 27.78/4.62 | 5) | ~ (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 &
% 27.78/4.62 | a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v0: int] : !
% 27.78/4.62 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? [v5: int]
% 27.78/4.62 | : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 27.78/4.62 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 27.78/4.62 | (b(v1) = v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ?
% 27.78/4.62 | [v5: int] : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6))))
% 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 27.78/4.62 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = v3) | ~ (a(v2) = 8) | ~ (a(v0) = 7) | ?
% 27.78/4.62 | [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1:
% 27.78/4.62 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | v3) | ~ (a(v2) = 8) | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 =
% 27.78/4.62 | 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 27.78/4.62 | 5) | ~ (b(v1) = 2) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 27.78/4.62 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5)
% 27.78/4.62 | | ~ (b(v1) = 2) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 27.78/4.62 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 27.78/4.62 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] :
% 27.78/4.62 | (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int]
% 27.78/4.62 | : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 27.78/4.62 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 7)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 27.78/4.62 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.62 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 27.78/4.62 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 27.78/4.62 | v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] :
% 27.78/4.62 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 27.78/4.62 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 27.78/4.62 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 27.78/4.62 | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 27.78/4.62 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 27.78/4.62 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 27.78/4.62 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 27.78/4.62 | | ~ (a(v2) = 8) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 27.78/4.62 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~
% 27.78/4.62 | ($lesseq(v2, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 27.78/4.62 | v2) | ~ (a(v0) = 9) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3))
% 27.78/4.62 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 2)) |
% 27.78/4.62 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v2) | ~ (a(v0) =
% 27.78/4.62 | 8) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) & ! [v0: int] :
% 27.78/4.62 | ! [v1: int] : (v1 = v0 | ~ (a(v1) = 10) | ~ (a(v0) = 10)) & ! [v0:
% 27.78/4.62 | int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (b(v0) = v1)) & !
% 27.78/4.62 | [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (a(v0) = v1)) &
% 27.78/4.62 | ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(13, v1)) | ~ (a(v0) =
% 27.78/4.62 | v1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(6, v1)) | ~
% 27.78/4.62 | (b(v0) = v1))
% 27.78/4.62 |
% 27.78/4.62 | ALPHA: (2) implies:
% 27.78/4.63 | (3) ~ (z3 = z1)
% 27.78/4.63 | (4) ~ (z3 = z2)
% 27.78/4.63 | (5) ~ (z4 = z2)
% 27.78/4.63 | (6) ~ (z4 = z3)
% 27.78/4.63 | (7) $lesseq(1, $difference(z1, z2))
% 27.78/4.63 | (8) $lesseq(all_3_0, 2)
% 27.78/4.63 | (9) a(z1) = 4
% 27.78/4.63 | (10) a(z2) = 10
% 27.78/4.63 | (11) a(z4) = 7
% 27.78/4.63 | (12) b(z2) = all_3_0
% 27.78/4.63 | (13) b(z3) = 5
% 27.78/4.63 | (14) b(z4) = 2
% 27.78/4.63 | (15) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 27.78/4.63 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5)
% 27.78/4.63 | | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0)
% 27.78/4.63 | = v3 & ( ~ (v4 = 10) | ~ (v3 = 1))))
% 27.78/4.63 | (16) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 |
% 27.78/4.63 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 27.78/4.63 | | ~ (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] :
% 27.78/4.63 | ( ~ (v4 = 10) & a(v1) = v4))
% 27.78/4.63 | (17) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 27.78/4.63 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 27.78/4.63 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3)
% 27.78/4.63 | = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4) | ? [v5:
% 27.78/4.63 | int] : ( ~ (v5 = 10) & a(v1) = v5))
% 27.78/4.63 |
% 27.78/4.63 | GROUND_INST: instantiating (16) with z4, z2, z3, all_3_0, simplifying with
% 27.78/4.63 | (11), (12), (13) gives:
% 27.78/4.63 | (18) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 27.78/4.63 | $difference(z4, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.63 |
% 27.78/4.63 | GROUND_INST: instantiating (17) with z1, z2, z3, z4, all_3_0, simplifying with
% 27.78/4.63 | (9), (12), (13), (14) gives:
% 27.78/4.63 | (19) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ ($lesseq(all_3_0,
% 27.78/4.63 | 2)) | ~ ($lesseq(1, $difference(z1, z2))) | ? [v0: int] : ( ~
% 27.78/4.63 | (v0 = 10) & a(z2) = v0)
% 27.78/4.63 |
% 27.78/4.63 | GROUND_INST: instantiating (15) with z3, z4, z1, simplifying with (9), (13),
% 27.78/4.63 | (14) gives:
% 27.78/4.63 | (20) z4 = z1 | z3 = z1 | ~ ($lesseq(1, $difference(z3, z4))) | ? [v0:
% 27.78/4.63 | int] : ? [v1: int] : (a(z4) = v1 & a(z3) = v0 & ( ~ (v1 = 10) | ~
% 27.78/4.63 | (v0 = 1)))
% 27.78/4.63 |
% 27.78/4.63 | BETA: splitting (20) gives:
% 27.78/4.63 |
% 27.78/4.63 | Case 1:
% 27.78/4.63 | |
% 27.78/4.63 | | (21) $lesseq(z3, z4)
% 27.78/4.63 | |
% 27.78/4.63 | | STRENGTHEN: (6), (21) imply:
% 27.78/4.63 | | (22) $lesseq(1, $difference(z4, z3))
% 27.78/4.63 | |
% 27.78/4.63 | | BETA: splitting (18) gives:
% 27.78/4.63 | |
% 27.78/4.63 | | Case 1:
% 27.78/4.63 | | |
% 27.78/4.63 | | | (23) $lesseq(z4, z2)
% 27.78/4.63 | | |
% 27.78/4.63 | | | STRENGTHEN: (5), (23) imply:
% 27.78/4.63 | | | (24) $lesseq(1, $difference(z2, z4))
% 27.78/4.63 | | |
% 27.78/4.63 | | | BETA: splitting (19) gives:
% 27.78/4.63 | | |
% 27.78/4.63 | | | Case 1:
% 27.78/4.63 | | | |
% 27.78/4.63 | | | | (25) $lesseq(z1, z2)
% 27.78/4.63 | | | |
% 27.78/4.63 | | | | COMBINE_INEQS: (7), (25) imply:
% 27.78/4.63 | | | | (26) $false
% 27.78/4.63 | | | |
% 27.78/4.63 | | | | CLOSE: (26) is inconsistent.
% 27.78/4.63 | | | |
% 27.78/4.63 | | | Case 2:
% 27.78/4.63 | | | |
% 27.78/4.64 | | | | (27) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 27.78/4.64 | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 27.78/4.64 | | | | v0)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | BETA: splitting (27) gives:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | Case 1:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (28) $lesseq(3, all_3_0)
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | COMBINE_INEQS: (8), (28) imply:
% 27.78/4.64 | | | | | (29) $false
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | CLOSE: (29) is inconsistent.
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | Case 2:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (30) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int]
% 27.78/4.64 | | | | | : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | BETA: splitting (30) gives:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | Case 1:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (31) z4 = z3
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REDUCE: (22), (31) imply:
% 27.78/4.64 | | | | | | (32) $false
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | CLOSE: (32) is inconsistent.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | Case 2:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (33) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~
% 27.78/4.64 | | | | | | (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (24), (33) are inconsistent by
% 27.78/4.64 | | | | | | sub-proof #1.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | End of split
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | End of split
% 27.78/4.64 | | | |
% 27.78/4.64 | | | End of split
% 27.78/4.64 | | |
% 27.78/4.64 | | Case 2:
% 27.78/4.64 | | |
% 27.78/4.64 | | | (34) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~
% 27.78/4.64 | | | (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | |
% 27.78/4.64 | | | BETA: splitting (34) gives:
% 27.78/4.64 | | |
% 27.78/4.64 | | | Case 1:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (35) $lesseq(3, all_3_0)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | COMBINE_INEQS: (8), (35) imply:
% 27.78/4.64 | | | | (36) $false
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | CLOSE: (36) is inconsistent.
% 27.78/4.64 | | | |
% 27.78/4.64 | | | Case 2:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (37) z4 = z3 | z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | BETA: splitting (37) gives:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | Case 1:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (38) z4 = z3
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | REDUCE: (22), (38) imply:
% 27.78/4.64 | | | | | (39) $false
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | CLOSE: (39) is inconsistent.
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | Case 2:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (40) z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | BETA: splitting (40) gives:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | Case 1:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (41) z3 = z2
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REDUCE: (4), (41) imply:
% 27.78/4.64 | | | | | | (42) $false
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | CLOSE: (42) is inconsistent.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | Case 2:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (43) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | DELTA: instantiating (43) with fresh symbol all_134_0 gives:
% 27.78/4.64 | | | | | | (44) ~ (all_134_0 = 10) & a(z2) = all_134_0
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REF_CLOSE: (1), (10), (44) are inconsistent by sub-proof #2.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | End of split
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | End of split
% 27.78/4.64 | | | |
% 27.78/4.64 | | | End of split
% 27.78/4.64 | | |
% 27.78/4.64 | | End of split
% 27.78/4.64 | |
% 27.78/4.64 | Case 2:
% 27.78/4.64 | |
% 27.78/4.64 | | (45) $lesseq(1, $difference(z3, z4))
% 27.78/4.64 | |
% 27.78/4.64 | | BETA: splitting (18) gives:
% 27.78/4.64 | |
% 27.78/4.64 | | Case 1:
% 27.78/4.64 | | |
% 27.78/4.64 | | | (46) $lesseq(z4, z2)
% 27.78/4.64 | | |
% 27.78/4.64 | | | STRENGTHEN: (5), (46) imply:
% 27.78/4.64 | | | (47) $lesseq(1, $difference(z2, z4))
% 27.78/4.64 | | |
% 27.78/4.64 | | | BETA: splitting (19) gives:
% 27.78/4.64 | | |
% 27.78/4.64 | | | Case 1:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (48) $lesseq(z1, z2)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | COMBINE_INEQS: (7), (48) imply:
% 27.78/4.64 | | | | (49) $false
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | CLOSE: (49) is inconsistent.
% 27.78/4.64 | | | |
% 27.78/4.64 | | | Case 2:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (50) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 27.78/4.64 | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 27.78/4.64 | | | | v0)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | BETA: splitting (50) gives:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | Case 1:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (51) $lesseq(3, all_3_0)
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | COMBINE_INEQS: (8), (51) imply:
% 27.78/4.64 | | | | | (52) $false
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | CLOSE: (52) is inconsistent.
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | Case 2:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | (53) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int]
% 27.78/4.64 | | | | | : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | BETA: splitting (53) gives:
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | | Case 1:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (54) z4 = z3
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REDUCE: (45), (54) imply:
% 27.78/4.64 | | | | | | (55) $false
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | CLOSE: (55) is inconsistent.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | Case 2:
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | (56) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~
% 27.78/4.64 | | | | | | (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (47), (56) are inconsistent by
% 27.78/4.64 | | | | | | sub-proof #1.
% 27.78/4.64 | | | | | |
% 27.78/4.64 | | | | | End of split
% 27.78/4.64 | | | | |
% 27.78/4.64 | | | | End of split
% 27.78/4.64 | | | |
% 27.78/4.64 | | | End of split
% 27.78/4.64 | | |
% 27.78/4.64 | | Case 2:
% 27.78/4.64 | | |
% 27.78/4.64 | | | (57) $lesseq(1, $difference(z4, z2))
% 27.78/4.64 | | | (58) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~
% 27.78/4.64 | | | (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | |
% 27.78/4.64 | | | BETA: splitting (58) gives:
% 27.78/4.64 | | |
% 27.78/4.64 | | | Case 1:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (59) $lesseq(3, all_3_0)
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | COMBINE_INEQS: (8), (59) imply:
% 27.78/4.64 | | | | (60) $false
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | CLOSE: (60) is inconsistent.
% 27.78/4.64 | | | |
% 27.78/4.64 | | | Case 2:
% 27.78/4.64 | | | |
% 27.78/4.64 | | | | (61) z4 = z3 | z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.64 | | | |
% 27.78/4.65 | | | | BETA: splitting (61) gives:
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | Case 1:
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | (62) z4 = z3
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | REDUCE: (45), (62) imply:
% 27.78/4.65 | | | | | (63) $false
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | CLOSE: (63) is inconsistent.
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | Case 2:
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | (64) z3 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | BETA: splitting (64) gives:
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | Case 1:
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | (65) z3 = z2
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | REDUCE: (45), (65) imply:
% 27.78/4.65 | | | | | | (66) $lesseq(1, $difference(z2, z4))
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | COMBINE_INEQS: (57), (66) imply:
% 27.78/4.65 | | | | | | (67) $false
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | CLOSE: (67) is inconsistent.
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | Case 2:
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | (68) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | DELTA: instantiating (68) with fresh symbol all_134_0 gives:
% 27.78/4.65 | | | | | | (69) ~ (all_134_0 = 10) & a(z2) = all_134_0
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | | REF_CLOSE: (1), (10), (69) are inconsistent by sub-proof #2.
% 27.78/4.65 | | | | | |
% 27.78/4.65 | | | | | End of split
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | End of split
% 27.78/4.65 | | | |
% 27.78/4.65 | | | End of split
% 27.78/4.65 | | |
% 27.78/4.65 | | End of split
% 27.78/4.65 | |
% 27.78/4.65 | End of split
% 27.78/4.65 |
% 27.78/4.65 End of proof
% 27.78/4.65
% 27.78/4.65 Sub-proof #1 shows that the following formulas are inconsistent:
% 27.78/4.65 ----------------------------------------------------------------
% 27.78/4.65 (1) a(z2) = 10
% 27.78/4.65 (2) $lesseq(1, $difference(z2, z4))
% 27.78/4.65 (3) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) &
% 27.78/4.65 a(z2) = v0)
% 27.78/4.65 (4) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) |
% 27.78/4.65 ~ (a(v2) = v0))
% 27.78/4.65 (5) ~ (z3 = z1)
% 27.78/4.65 (6) $lesseq(1, $difference(z1, z2))
% 27.78/4.65 (7) ~ (z3 = z2)
% 27.78/4.65
% 27.78/4.65 Begin of proof
% 27.78/4.65 |
% 27.78/4.65 | BETA: splitting (3) gives:
% 27.78/4.65 |
% 27.78/4.65 | Case 1:
% 27.78/4.65 | |
% 27.78/4.65 | | (8) z4 = z2
% 27.78/4.65 | |
% 27.78/4.65 | | REDUCE: (2), (8) imply:
% 27.78/4.65 | | (9) $false
% 27.78/4.65 | |
% 27.78/4.65 | | CLOSE: (9) is inconsistent.
% 27.78/4.65 | |
% 27.78/4.65 | Case 2:
% 27.78/4.65 | |
% 27.78/4.65 | | (10) z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 27.78/4.65 | | v0)
% 27.78/4.65 | |
% 27.78/4.65 | | BETA: splitting (10) gives:
% 27.78/4.65 | |
% 27.78/4.65 | | Case 1:
% 27.78/4.65 | | |
% 27.78/4.65 | | | (11) z4 = z1
% 27.78/4.65 | | |
% 27.78/4.65 | | | REDUCE: (2), (11) imply:
% 27.78/4.65 | | | (12) $lesseq(1, $difference(z2, z1))
% 27.78/4.65 | | |
% 27.78/4.65 | | | COMBINE_INEQS: (6), (12) imply:
% 27.78/4.65 | | | (13) $false
% 27.78/4.65 | | |
% 27.78/4.65 | | | CLOSE: (13) is inconsistent.
% 27.78/4.65 | | |
% 27.78/4.65 | | Case 2:
% 27.78/4.65 | | |
% 27.78/4.65 | | | (14) z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.65 | | |
% 27.78/4.65 | | | BETA: splitting (14) gives:
% 27.78/4.65 | | |
% 27.78/4.65 | | | Case 1:
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | (15) z3 = z2
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | REDUCE: (7), (15) imply:
% 27.78/4.65 | | | | (16) $false
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | CLOSE: (16) is inconsistent.
% 27.78/4.65 | | | |
% 27.78/4.65 | | | Case 2:
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | (17) z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | BETA: splitting (17) gives:
% 27.78/4.65 | | | |
% 27.78/4.65 | | | | Case 1:
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | (18) z3 = z1
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | REDUCE: (5), (18) imply:
% 27.78/4.65 | | | | | (19) $false
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | CLOSE: (19) is inconsistent.
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | Case 2:
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | (20) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | DELTA: instantiating (20) with fresh symbol all_134_0 gives:
% 27.78/4.65 | | | | | (21) ~ (all_134_0 = 10) & a(z2) = all_134_0
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | | REF_CLOSE: (1), (4), (21) are inconsistent by sub-proof #2.
% 27.78/4.65 | | | | |
% 27.78/4.65 | | | | End of split
% 27.78/4.65 | | | |
% 27.78/4.65 | | | End of split
% 27.78/4.65 | | |
% 27.78/4.65 | | End of split
% 27.78/4.65 | |
% 27.78/4.65 | End of split
% 27.78/4.65 |
% 27.78/4.65 End of proof
% 27.78/4.65
% 27.78/4.65 Sub-proof #2 shows that the following formulas are inconsistent:
% 27.78/4.65 ----------------------------------------------------------------
% 27.78/4.65 (1) ~ (all_134_0 = 10) & a(z2) = all_134_0
% 27.78/4.65 (2) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) |
% 27.78/4.65 ~ (a(v2) = v0))
% 27.78/4.65 (3) a(z2) = 10
% 27.78/4.65
% 27.78/4.65 Begin of proof
% 27.78/4.65 |
% 27.78/4.65 | ALPHA: (1) implies:
% 27.78/4.65 | (4) ~ (all_134_0 = 10)
% 27.78/4.65 | (5) a(z2) = all_134_0
% 27.78/4.65 |
% 27.78/4.65 | GROUND_INST: instantiating (2) with 10, all_134_0, z2, simplifying with (3),
% 27.78/4.65 | (5) gives:
% 27.78/4.65 | (6) all_134_0 = 10
% 27.78/4.65 |
% 27.78/4.65 | REDUCE: (4), (6) imply:
% 27.78/4.65 | (7) $false
% 27.78/4.65 |
% 27.78/4.65 | CLOSE: (7) is inconsistent.
% 27.78/4.65 |
% 27.78/4.65 End of proof
% 27.78/4.65 % SZS output end Proof for theBenchmark
% 27.78/4.65
% 27.78/4.65 4048ms
%------------------------------------------------------------------------------