TSTP Solution File: SWV998_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV998_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 : n006.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 22:58:21 EDT 2023
% Result : Theorem 20.17s 3.39s
% Output : Proof 26.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV998_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 10:09:36 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.58 ________ _____
% 0.19/0.58 ___ __ \_________(_)________________________________
% 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.58 (2023-06-19)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2023
% 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.58 Amanda Stjerna.
% 0.19/0.58 Free software under BSD-3-Clause.
% 0.19/0.58
% 0.19/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.38/1.62 Prover 1: Preprocessing ...
% 6.38/1.62 Prover 4: Preprocessing ...
% 6.38/1.63 Prover 0: Preprocessing ...
% 6.38/1.63 Prover 3: Preprocessing ...
% 6.38/1.63 Prover 5: Preprocessing ...
% 6.38/1.63 Prover 6: Preprocessing ...
% 6.38/1.63 Prover 2: Preprocessing ...
% 15.25/2.79 Prover 6: Proving ...
% 15.94/2.86 Prover 3: Constructing countermodel ...
% 16.46/2.91 Prover 1: Constructing countermodel ...
% 20.17/3.39 Prover 3: proved (2784ms)
% 20.17/3.39
% 20.17/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.17/3.39
% 20.17/3.40 Prover 6: stopped
% 20.17/3.41 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 20.42/3.42 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 21.22/3.56 Prover 4: Constructing countermodel ...
% 21.76/3.61 Prover 0: Proving ...
% 21.76/3.62 Prover 0: stopped
% 21.76/3.62 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.46/3.68 Prover 5: Proving ...
% 22.46/3.68 Prover 5: stopped
% 22.58/3.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.58/3.70 Prover 7: Preprocessing ...
% 22.58/3.70 Prover 8: Preprocessing ...
% 22.80/3.73 Prover 2: Proving ...
% 22.80/3.74 Prover 2: stopped
% 22.80/3.75 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 23.47/3.82 Prover 1: Found proof (size 150)
% 23.47/3.82 Prover 1: proved (3214ms)
% 23.47/3.82 Prover 4: stopped
% 23.47/3.89 Prover 10: Preprocessing ...
% 24.20/3.96 Prover 7: stopped
% 24.20/3.99 Prover 11: Preprocessing ...
% 24.20/4.00 Prover 13: Preprocessing ...
% 24.20/4.00 Prover 10: stopped
% 24.20/4.03 Prover 8: Warning: ignoring some quantifiers
% 24.20/4.04 Prover 8: Constructing countermodel ...
% 24.20/4.04 Prover 8: stopped
% 25.24/4.07 Prover 13: stopped
% 25.24/4.11 Prover 11: stopped
% 25.24/4.11
% 25.24/4.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.24/4.11
% 25.46/4.12 % SZS output start Proof for theBenchmark
% 25.46/4.12 Assumptions after simplification:
% 25.46/4.12 ---------------------------------
% 25.46/4.12
% 25.46/4.12 (0)
% 25.61/4.21 ? [v0: int] : ( ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~
% 25.61/4.21 (z4 = z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 25.61/4.21 $lesseq(v0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 & b(z3) = 5 &
% 25.61/4.21 b(z2) = v0 & b(z1) = 5 & a(z4) = 7 & a(z2) = 10 & a(z1) = 5 & ! [v1: int] :
% 25.61/4.21 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 25.61/4.21 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 3)) | ~
% 25.61/4.21 ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) |
% 25.61/4.21 ~ (b(v3) = v6) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ? [v7: int] : ?
% 25.61/4.21 [v8: int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9
% 25.61/4.21 = 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 25.61/4.21 ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 =
% 25.61/4.21 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5,
% 25.61/4.21 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~
% 25.61/4.21 (b(v3) = 2) | ~ (b(v2) = v6) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8:
% 25.61/4.21 int] : ? [v9: int] : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 =
% 25.61/4.21 7) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v1: int] : ! [v2: int] :
% 25.61/4.21 ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 |
% 25.61/4.21 v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1,
% 25.61/4.21 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 25.61/4.21 (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & (
% 25.61/4.21 ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 25.61/4.21 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 25.61/4.21 v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2)))
% 25.61/4.21 | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 2) | ?
% 25.61/4.21 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 25.61/4.21 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 25.61/4.21 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 25.61/4.21 ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5)
% 25.61/4.21 | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 1) | ? [v6: int] : ?
% 25.61/4.22 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & !
% 25.61/4.22 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 25.61/4.22 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 25.61/4.22 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~
% 25.61/4.22 (b(v2) = v5) | ~ (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7
% 25.61/4.22 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2:
% 25.61/4.22 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 25.61/4.22 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) =
% 25.61/4.22 v5) | ~ (a(v1) = 4) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2)
% 25.61/4.22 = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : !
% 25.61/4.22 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 25.61/4.22 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 25.61/4.22 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 25.61/4.22 (a(v1) = 2) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~
% 25.61/4.22 (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 25.61/4.22 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 25.61/4.22 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 25.61/4.22 | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 1) | ?
% 25.61/4.22 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 25.61/4.22 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 25.61/4.22 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 25.61/4.22 | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 25.61/4.22 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 25.61/4.22 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v1) = 4) | ? [v6:
% 25.61/4.22 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 25.61/4.22 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 25.61/4.22 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 25.61/4.22 v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 25.61/4.22 (b(v1) = 5) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 25.61/4.22 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 5) | ~ (v7 = 10) | ~ (v6 = 5)))) &
% 25.61/4.22 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 25.61/4.22 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 25.61/4.22 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 25.61/4.22 (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 &
% 25.61/4.22 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2:
% 25.61/4.22 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 25.61/4.22 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) =
% 25.61/4.22 5) | ~ (a(v3) = 6) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1)
% 25.61/4.22 = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: int] : !
% 25.61/4.22 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 25.61/4.22 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 25.61/4.22 v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~
% 25.61/4.22 (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~
% 25.61/4.22 (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 25.61/4.22 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 25.61/4.22 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 25.61/4.22 | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 5) | ?
% 25.61/4.22 [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~
% 25.61/4.22 (v6 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 25.61/4.22 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 25.61/4.22 | ~ (b(v2) = v5) | ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~
% 25.61/4.22 (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 =
% 25.61/4.22 v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v3) = 5) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~ (a(v1) = 5) | ? [v6:
% 25.61/4.22 int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] : ! [v2: int] : !
% 25.61/4.22 [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1,
% 25.61/4.22 v2))) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ? [v6:
% 25.61/4.22 int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 & a(v2) = v7 & a(v1) =
% 25.61/4.22 v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3 = v1
% 25.61/4.22 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (b(v1) =
% 25.61/4.22 v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 & a(v2) =
% 25.61/4.22 v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v1:
% 25.61/4.22 int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 25.61/4.22 v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ?
% 25.61/4.22 [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6
% 25.61/4.22 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int]
% 25.61/4.22 : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) =
% 25.61/4.22 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) =
% 25.61/4.22 v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) & ! [v1:
% 25.61/4.22 int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 25.61/4.22 v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ?
% 25.61/4.22 [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6
% 25.61/4.22 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int]
% 25.61/4.22 : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ (a(v1) =
% 25.61/4.22 12) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 =
% 25.61/4.22 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ (a(v1) =
% 25.61/4.22 2) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 =
% 25.61/4.22 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~ (a(v1) =
% 25.61/4.22 1) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 =
% 25.61/4.22 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v4) | ~ (a(v1) =
% 25.61/4.22 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = v5)) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 25.61/4.22 ~ (b(v2) = v4) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 25.61/4.22 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 25.61/4.22 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 25.61/4.22 | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ?
% 25.61/4.22 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7
% 25.61/4.22 = 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int]
% 25.61/4.22 : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) |
% 25.61/4.22 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) |
% 25.61/4.22 ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 25.61/4.22 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 25.61/4.22 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 25.61/4.22 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 25.61/4.22 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 25.61/4.22 7) | ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v1: int] : ! [v2: int] :
% 25.61/4.22 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 25.61/4.22 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 25.61/4.22 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 25.61/4.22 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 25.61/4.22 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 25.61/4.22 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 25.61/4.22 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 25.61/4.22 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 25.61/4.22 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 25.61/4.22 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 25.61/4.22 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 25.61/4.22 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 6) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 25.61/4.22 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 25.61/4.22 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (a(v1) = 12) | ? [v5: int] : ? [v6:
% 25.61/4.22 int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & !
% 25.61/4.22 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1
% 25.61/4.22 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 25.61/4.22 2) | ~ (b(v2) = v4) | ~ (a(v1) = 5) | ? [v5: int] : ? [v6: int] :
% 25.61/4.22 (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] :
% 25.61/4.22 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 25.61/4.22 ~ (b(v2) = v4) | ~ (a(v1) = 4) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 25.61/4.22 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 25.61/4.22 ~ (b(v2) = v4) | ~ (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 25.61/4.22 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 25.61/4.22 ~ (b(v2) = v4) | ~ (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 25.61/4.22 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 25.61/4.22 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 25.61/4.22 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 25.61/4.22 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 25.61/4.22 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 25.61/4.22 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 25.61/4.22 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 25.61/4.22 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 25.61/4.22 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 25.61/4.22 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 25.61/4.22 | ~ (a(v3) = 8) | ~ (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 25.61/4.22 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 25.61/4.22 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 25.61/4.22 | ~ (b(v2) = v4) | ~ (a(v3) = 8) | ~ (a(v1) = 6) | ? [v5: int] : ( ~
% 25.61/4.22 (v5 = 10) & a(v2) = v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 25.61/4.22 ~ (b(v2) = 2) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 25.61/4.22 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 25.61/4.22 : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 7) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 2)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 1)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 25.61/4.22 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 25.61/4.22 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 25.61/4.22 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 25.61/4.22 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 25.61/4.22 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 25.61/4.22 ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 25.61/4.22 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 25.61/4.22 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (a(v3) = 8) |
% 25.61/4.22 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 25.61/4.22 : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 25.61/4.22 $difference(v1, v2))) | ~ (b(v2) = v3) | ~ (a(v1) = 9) | ? [v4:
% 25.61/4.22 int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] : ! [v2: int] : !
% 25.61/4.22 [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 25.61/4.22 (b(v2) = v3) | ~ (a(v1) = 8) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 25.61/4.22 v4)) & ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ (a(v2) = 10) | ~
% 25.61/4.22 (a(v1) = 10)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 25.61/4.22 (b(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 25.61/4.22 (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(13, v2)) |
% 25.61/4.22 ~ (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(6, v2)) |
% 25.61/4.22 ~ (b(v1) = v2)))
% 25.61/4.22
% 25.61/4.22 (function-axioms)
% 25.61/4.23 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (b(v2) = v1) | ~
% 25.61/4.23 (b(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 25.61/4.23 (a(v2) = v1) | ~ (a(v2) = v0))
% 25.61/4.23
% 25.61/4.23 Those formulas are unsatisfiable:
% 25.61/4.23 ---------------------------------
% 25.61/4.23
% 25.61/4.23 Begin of proof
% 25.61/4.23 |
% 25.61/4.23 | ALPHA: (function-axioms) implies:
% 25.61/4.23 | (1) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1)
% 25.61/4.23 | | ~ (a(v2) = v0))
% 25.61/4.23 |
% 25.61/4.23 | DELTA: instantiating (0) with fresh symbol all_3_0 gives:
% 26.01/4.27 | (2) ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ (z4 =
% 26.01/4.27 | z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 26.01/4.27 | $lesseq(all_3_0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 2 &
% 26.01/4.27 | b(z3) = 5 & b(z2) = all_3_0 & b(z1) = 5 & a(z4) = 7 & a(z2) = 10 &
% 26.01/4.27 | a(z1) = 5 & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.01/4.27 | ! [v4: int] : ! [v5: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.01/4.27 | v2 = v0 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.01/4.27 | (b(v1) = 2) | ~ (b(v0) = v4) | ? [v6: int] : ? [v7: int] : ? [v8:
% 26.01/4.27 | int] : (a(v2) = v8 & a(v1) = v7 & a(v0) = v6 & ( ~ (v8 = 7) | ~
% 26.01/4.27 | (v7 = 10) | ~ (v6 = 3)))) & ! [v0: int] : ! [v1: int] : !
% 26.01/4.27 | [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3
% 26.01/4.27 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v5, 2)) | ~
% 26.01/4.27 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 26.01/4.27 | 5) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ? [v6:
% 26.01/4.27 | int] : ? [v7: int] : ? [v8: int] : (a(v2) = v8 & a(v1) = v7 &
% 26.01/4.27 | a(v0) = v6 & ( ~ (v8 = 7) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.01/4.27 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 3))
% 26.01/4.27 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) =
% 26.01/4.27 | v4) | ~ (b(v1) = 2) | ~ (a(v0) = 12) | ? [v5: int] : ? [v6:
% 26.01/4.27 | int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) &
% 26.01/4.27 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 26.01/4.27 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4,
% 26.01/4.27 | 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~
% 26.01/4.27 | (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 2) | ? [v5: int] : ?
% 26.01/4.27 | [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10))))
% 26.01/4.27 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.01/4.27 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.01/4.27 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 26.01/4.27 | 5) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v5:
% 26.01/4.27 | int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~
% 26.01/4.27 | (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.01/4.27 | [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2
% 26.01/4.27 | = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 26.01/4.27 | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 12) |
% 26.01/4.27 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7)
% 26.01/4.27 | | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.27 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.01/4.27 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.01/4.27 | | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 26.01/4.27 | | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 =
% 26.01/4.27 | 7) | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2:
% 26.01/4.27 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 |
% 26.01/4.27 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~
% 26.01/4.27 | (b(v1) = v4) | ~ (a(v0) = 2) | ? [v5: int] : ? [v6: int] : (a(v2)
% 26.01/4.27 | = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: int] :
% 26.01/4.27 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 26.01/4.27 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.01/4.27 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 26.01/4.27 | ~ (b(v1) = v4) | ~ (a(v0) = 1) | ? [v5: int] : ? [v6: int] :
% 26.01/4.27 | (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.01/4.27 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.01/4.27 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) =
% 26.01/4.27 | 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 26.01/4.27 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.27 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.01/4.27 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.01/4.27 | | ~ (b(v3) = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 26.01/4.27 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 26.01/4.27 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 26.01/4.27 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.01/4.27 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = 2) |
% 26.01/4.27 | ~ (b(v1) = v4) | ~ (b(v0) = 5) | ? [v5: int] : ? [v6: int] : ?
% 26.01/4.27 | [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 5) | ~
% 26.01/4.27 | (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : ! [v1: int] : !
% 26.01/4.27 | [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0
% 26.01/4.27 | | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~
% 26.01/4.27 | (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] : (a(v1) =
% 26.01/4.27 | v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] :
% 26.01/4.27 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 26.01/4.27 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.01/4.27 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4)
% 26.01/4.27 | | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v5: int] : ? [v6: int] :
% 26.01/4.27 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.01/4.27 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.01/4.27 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.01/4.27 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 26.01/4.27 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.01/4.27 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.01/4.27 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.01/4.27 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 26.01/4.27 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.01/4.27 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.01/4.27 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.01/4.27 | v4) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 26.01/4.27 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.27 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.01/4.27 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.01/4.27 | | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 5)
% 26.01/4.27 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 26.01/4.27 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v2 = v1 | v2
% 26.01/4.27 | = v0 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~
% 26.01/4.27 | (b(v0) = v3) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v2) =
% 26.01/4.27 | v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 8) | ~ (v6 = 10) | ~ (v5
% 26.01/4.27 | = 3)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.01/4.27 | int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.01/4.27 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.27 | 2) | ~ (b(v1) = v4) | ~ (b(v0) = v3) | ? [v5: int] : ? [v6:
% 26.01/4.27 | int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~
% 26.01/4.27 | (v7 = 8) | ~ (v6 = 10) | ~ (v5 = 3)))) & ! [v0: int] : ! [v1:
% 26.01/4.27 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.27 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.27 | v3) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 26.01/4.27 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 26.01/4.27 | | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.27 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 26.01/4.27 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 26.01/4.27 | 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 26.01/4.27 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 26.01/4.27 | ~ (v4 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.01/4.27 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 26.01/4.27 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.01/4.27 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.01/4.27 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.01/4.27 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 26.01/4.27 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 26.01/4.27 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 26.01/4.27 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 26.01/4.27 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 26.01/4.27 | 2) | ~ (a(v0) = 2) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 26.01/4.27 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 26.01/4.27 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.27 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.27 | v3) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v4: int] : ? [v5: int]
% 26.01/4.27 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.01/4.27 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.01/4.27 | (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : ( ~
% 26.01/4.27 | (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 26.01/4.27 | int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~
% 26.01/4.27 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v3)
% 26.01/4.27 | | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & !
% 26.01/4.27 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2
% 26.01/4.27 | = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 26.01/4.27 | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ?
% 26.01/4.27 | [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & (
% 26.01/4.27 | ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : !
% 26.01/4.27 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.27 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.27 | 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 26.01/4.27 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 26.01/4.27 | | ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.27 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.01/4.27 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 26.01/4.27 | v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 26.01/4.27 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 26.01/4.27 | ~ (v4 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.01/4.27 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.01/4.27 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.01/4.27 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.01/4.27 | = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.01/4.27 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.01/4.27 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.01/4.27 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.01/4.27 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.01/4.27 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.01/4.27 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.01/4.27 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 6) | ~ (v5 = 10) | ~ (v4
% 26.01/4.27 | = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.01/4.27 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.01/4.27 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.01/4.27 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 26.01/4.27 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 26.01/4.27 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.01/4.27 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 26.01/4.27 | v3) | ~ (a(v0) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 26.01/4.27 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 26.01/4.27 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.27 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.27 | 2) | ~ (b(v1) = v3) | ~ (a(v0) = 4) | ? [v4: int] : ? [v5: int]
% 26.01/4.27 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 26.01/4.27 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.01/4.27 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.01/4.27 | (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 2) | ? [v4: int] : ?
% 26.01/4.27 | [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10))))
% 26.01/4.27 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 26.01/4.27 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 26.01/4.27 | v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 1) | ?
% 26.01/4.27 | [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) |
% 26.01/4.27 | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.01/4.27 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.01/4.28 | $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ~
% 26.01/4.28 | (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & a(v0) = v4
% 26.01/4.28 | & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: int] : ! [v1: int] : !
% 26.01/4.28 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.01/4.28 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) =
% 26.01/4.28 | 5) | ~ (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 &
% 26.01/4.28 | a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v0: int] : !
% 26.01/4.28 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? [v5: int]
% 26.01/4.28 | : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.01/4.28 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.01/4.28 | (b(v1) = v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ?
% 26.01/4.28 | [v5: int] : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6))))
% 26.01/4.28 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 26.01/4.28 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = v3) | ~ (a(v2) = 8) | ~ (a(v0) = 7) | ?
% 26.01/4.28 | [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1:
% 26.01/4.28 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | v3) | ~ (a(v2) = 8) | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 =
% 26.01/4.28 | 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.28 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.01/4.28 | 5) | ~ (b(v1) = 2) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 26.01/4.28 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.01/4.28 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5)
% 26.01/4.28 | | ~ (b(v1) = 2) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 26.01/4.28 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.01/4.28 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 26.01/4.28 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] :
% 26.01/4.28 | (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.28 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.01/4.28 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int]
% 26.01/4.28 | : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.01/4.28 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.01/4.28 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.01/4.28 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 7)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.01/4.28 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 26.01/4.28 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.01/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.01/4.28 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.01/4.28 | v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] :
% 26.01/4.28 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.01/4.28 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.01/4.28 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.01/4.28 | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.01/4.28 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 26.01/4.28 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.01/4.28 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 26.01/4.28 | | ~ (a(v2) = 8) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 26.01/4.28 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~
% 26.01/4.28 | ($lesseq(v2, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.01/4.28 | v2) | ~ (a(v0) = 9) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3))
% 26.01/4.28 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 2)) |
% 26.01/4.28 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v2) | ~ (a(v0) =
% 26.01/4.28 | 8) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) & ! [v0: int] :
% 26.01/4.28 | ! [v1: int] : (v1 = v0 | ~ (a(v1) = 10) | ~ (a(v0) = 10)) & ! [v0:
% 26.01/4.28 | int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (b(v0) = v1)) & !
% 26.01/4.28 | [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (a(v0) = v1)) &
% 26.01/4.28 | ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(13, v1)) | ~ (a(v0) =
% 26.01/4.28 | v1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(6, v1)) | ~
% 26.01/4.28 | (b(v0) = v1))
% 26.01/4.28 |
% 26.01/4.28 | ALPHA: (2) implies:
% 26.01/4.28 | (3) ~ (z3 = z1)
% 26.01/4.28 | (4) ~ (z3 = z2)
% 26.01/4.28 | (5) ~ (z4 = z1)
% 26.01/4.28 | (6) ~ (z4 = z2)
% 26.01/4.28 | (7) ~ (z4 = z3)
% 26.01/4.28 | (8) $lesseq(1, $difference(z1, z2))
% 26.01/4.28 | (9) $lesseq(all_3_0, 2)
% 26.01/4.28 | (10) a(z1) = 5
% 26.01/4.28 | (11) a(z2) = 10
% 26.01/4.28 | (12) a(z4) = 7
% 26.01/4.28 | (13) b(z1) = 5
% 26.01/4.28 | (14) b(z2) = all_3_0
% 26.01/4.28 | (15) b(z3) = 5
% 26.01/4.28 | (16) b(z4) = 2
% 26.23/4.28 | (17) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.23/4.28 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5)
% 26.23/4.28 | | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0)
% 26.23/4.28 | = v3 & ( ~ (v4 = 10) | ~ (v3 = 1))))
% 26.23/4.28 | (18) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 |
% 26.23/4.28 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.23/4.28 | | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] :
% 26.23/4.28 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4
% 26.23/4.28 | & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 5))))
% 26.23/4.28 | (19) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 |
% 26.23/4.28 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.23/4.28 | | ~ (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] :
% 26.23/4.28 | ( ~ (v4 = 10) & a(v1) = v4))
% 26.23/4.28 | (20) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.23/4.28 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.23/4.28 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3)
% 26.23/4.28 | = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5:
% 26.23/4.28 | int] : ( ~ (v5 = 10) & a(v1) = v5))
% 26.23/4.28 |
% 26.23/4.28 | GROUND_INST: instantiating (19) with z4, z2, z1, all_3_0, simplifying with
% 26.23/4.28 | (12), (13), (14) gives:
% 26.23/4.28 | (21) z4 = z1 | z2 = z1 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 26.23/4.28 | $difference(z4, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.28 |
% 26.23/4.29 | GROUND_INST: instantiating (19) with z4, z2, z3, all_3_0, simplifying with
% 26.23/4.29 | (12), (14), (15) gives:
% 26.23/4.29 | (22) z4 = z3 | z3 = z2 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 26.23/4.29 | $difference(z4, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.29 |
% 26.23/4.29 | GROUND_INST: instantiating (20) with z1, z2, z3, z4, all_3_0, simplifying with
% 26.23/4.29 | (10), (14), (15), (16) gives:
% 26.23/4.29 | (23) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ ($lesseq(all_3_0,
% 26.23/4.29 | 2)) | ~ ($lesseq(1, $difference(z1, z2))) | ? [v0: int] : ( ~
% 26.23/4.29 | (v0 = 10) & a(z2) = v0)
% 26.23/4.29 |
% 26.23/4.29 | GROUND_INST: instantiating (17) with z3, z4, z1, simplifying with (10), (15),
% 26.23/4.29 | (16) gives:
% 26.23/4.29 | (24) z4 = z1 | z3 = z1 | ~ ($lesseq(1, $difference(z3, z4))) | ? [v0:
% 26.23/4.29 | int] : ? [v1: int] : (a(z4) = v1 & a(z3) = v0 & ( ~ (v1 = 10) | ~
% 26.23/4.29 | (v0 = 1)))
% 26.23/4.29 |
% 26.23/4.29 | GROUND_INST: instantiating (18) with z1, z2, z4, all_3_0, simplifying with
% 26.23/4.29 | (13), (14), (16) gives:
% 26.23/4.29 | (25) z4 = z2 | z4 = z1 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 26.23/4.29 | $difference(z1, z2))) | ? [v0: int] : ? [v1: int] : ? [v2: int]
% 26.23/4.29 | : (a(z4) = v2 & a(z2) = v1 & a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 = 10)
% 26.23/4.29 | | ~ (v0 = 5)))
% 26.23/4.29 |
% 26.23/4.29 | BETA: splitting (24) gives:
% 26.23/4.29 |
% 26.23/4.29 | Case 1:
% 26.23/4.29 | |
% 26.23/4.29 | | (26) $lesseq(z3, z4)
% 26.23/4.29 | |
% 26.23/4.29 | | STRENGTHEN: (7), (26) imply:
% 26.23/4.29 | | (27) $lesseq(1, $difference(z4, z3))
% 26.23/4.29 | |
% 26.23/4.29 | | BETA: splitting (25) gives:
% 26.23/4.29 | |
% 26.23/4.29 | | Case 1:
% 26.23/4.29 | | |
% 26.23/4.29 | | | (28) $lesseq(z1, z2)
% 26.23/4.29 | | |
% 26.23/4.29 | | | COMBINE_INEQS: (8), (28) imply:
% 26.23/4.29 | | | (29) $false
% 26.23/4.29 | | |
% 26.23/4.29 | | | CLOSE: (29) is inconsistent.
% 26.23/4.29 | | |
% 26.23/4.29 | | Case 2:
% 26.23/4.29 | | |
% 26.23/4.29 | | | (30) z4 = z2 | z4 = z1 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ?
% 26.23/4.29 | | | [v1: int] : ? [v2: int] : (a(z4) = v2 & a(z2) = v1 & a(z1) = v0 &
% 26.23/4.29 | | | ( ~ (v2 = 7) | ~ (v1 = 10) | ~ (v0 = 5)))
% 26.23/4.29 | | |
% 26.23/4.29 | | | BETA: splitting (30) gives:
% 26.23/4.29 | | |
% 26.23/4.29 | | | Case 1:
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | (31) $lesseq(3, all_3_0)
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | COMBINE_INEQS: (9), (31) imply:
% 26.23/4.29 | | | | (32) $false
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | CLOSE: (32) is inconsistent.
% 26.23/4.29 | | | |
% 26.23/4.29 | | | Case 2:
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | (33) z4 = z2 | z4 = z1 | ? [v0: int] : ? [v1: int] : ? [v2: int] :
% 26.23/4.29 | | | | (a(z4) = v2 & a(z2) = v1 & a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 =
% 26.23/4.29 | | | | 10) | ~ (v0 = 5)))
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | BETA: splitting (22) gives:
% 26.23/4.29 | | | |
% 26.23/4.29 | | | | Case 1:
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | | (34) $lesseq(z4, z2)
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | | STRENGTHEN: (6), (34) imply:
% 26.23/4.29 | | | | | (35) $lesseq(1, $difference(z2, z4))
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | | BETA: splitting (23) gives:
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | | Case 1:
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | (36) $lesseq(z1, z2)
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | COMBINE_INEQS: (8), (36) imply:
% 26.23/4.29 | | | | | | (37) $false
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | CLOSE: (37) is inconsistent.
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | Case 2:
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | (38) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 26.23/4.29 | | | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2)
% 26.23/4.29 | | | | | | = v0)
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | BETA: splitting (38) gives:
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | | Case 1:
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | (39) $lesseq(3, all_3_0)
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | COMBINE_INEQS: (9), (39) imply:
% 26.23/4.29 | | | | | | | (40) $false
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | CLOSE: (40) is inconsistent.
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | Case 2:
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | (41) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0:
% 26.23/4.29 | | | | | | | int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | BETA: splitting (41) gives:
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | | Case 1:
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | | (42) z4 = z3
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | | REDUCE: (27), (42) imply:
% 26.23/4.29 | | | | | | | | (43) $false
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | | CLOSE: (43) is inconsistent.
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | Case 2:
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | | (44) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : (
% 26.23/4.29 | | | | | | | | ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | | REF_CLOSE: (1), (3), (4), (8), (11), (33), (35), (44) are
% 26.23/4.29 | | | | | | | | inconsistent by sub-proof #2.
% 26.23/4.29 | | | | | | | |
% 26.23/4.29 | | | | | | | End of split
% 26.23/4.29 | | | | | | |
% 26.23/4.29 | | | | | | End of split
% 26.23/4.29 | | | | | |
% 26.23/4.29 | | | | | End of split
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | Case 2:
% 26.23/4.29 | | | | |
% 26.23/4.29 | | | | | (45) $lesseq(1, $difference(z4, z2))
% 26.23/4.29 | | | | |
% 26.23/4.30 | | | | | REF_CLOSE: (1), (5), (8), (9), (11), (21), (45) are inconsistent by
% 26.23/4.30 | | | | | sub-proof #1.
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | End of split
% 26.23/4.30 | | | |
% 26.23/4.30 | | | End of split
% 26.23/4.30 | | |
% 26.23/4.30 | | End of split
% 26.23/4.30 | |
% 26.23/4.30 | Case 2:
% 26.23/4.30 | |
% 26.23/4.30 | | (46) $lesseq(1, $difference(z3, z4))
% 26.23/4.30 | |
% 26.23/4.30 | | BETA: splitting (22) gives:
% 26.23/4.30 | |
% 26.23/4.30 | | Case 1:
% 26.23/4.30 | | |
% 26.23/4.30 | | | (47) $lesseq(z4, z2)
% 26.23/4.30 | | |
% 26.23/4.30 | | | STRENGTHEN: (6), (47) imply:
% 26.23/4.30 | | | (48) $lesseq(1, $difference(z2, z4))
% 26.23/4.30 | | |
% 26.23/4.30 | | | BETA: splitting (23) gives:
% 26.23/4.30 | | |
% 26.23/4.30 | | | Case 1:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | (49) $lesseq(z1, z2)
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | COMBINE_INEQS: (8), (49) imply:
% 26.23/4.30 | | | | (50) $false
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | CLOSE: (50) is inconsistent.
% 26.23/4.30 | | | |
% 26.23/4.30 | | | Case 2:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | (51) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 26.23/4.30 | | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 26.23/4.30 | | | | v0)
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | BETA: splitting (51) gives:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | Case 1:
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | (52) $lesseq(3, all_3_0)
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | COMBINE_INEQS: (9), (52) imply:
% 26.23/4.30 | | | | | (53) $false
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | CLOSE: (53) is inconsistent.
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | Case 2:
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | (54) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int]
% 26.23/4.30 | | | | | : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | BETA: splitting (25) gives:
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | Case 1:
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | (55) $lesseq(z1, z2)
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | COMBINE_INEQS: (8), (55) imply:
% 26.23/4.30 | | | | | | (56) $false
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | CLOSE: (56) is inconsistent.
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | Case 2:
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | (57) z4 = z2 | z4 = z1 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int]
% 26.23/4.30 | | | | | | : ? [v1: int] : ? [v2: int] : (a(z4) = v2 & a(z2) = v1 &
% 26.23/4.30 | | | | | | a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 = 10) | ~ (v0 = 5)))
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | BETA: splitting (57) gives:
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | | Case 1:
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | (58) $lesseq(3, all_3_0)
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | COMBINE_INEQS: (9), (58) imply:
% 26.23/4.30 | | | | | | | (59) $false
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | CLOSE: (59) is inconsistent.
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | Case 2:
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | (60) z4 = z2 | z4 = z1 | ? [v0: int] : ? [v1: int] : ? [v2:
% 26.23/4.30 | | | | | | | int] : (a(z4) = v2 & a(z2) = v1 & a(z1) = v0 & ( ~ (v2 =
% 26.23/4.30 | | | | | | | 7) | ~ (v1 = 10) | ~ (v0 = 5)))
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | BETA: splitting (54) gives:
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | | Case 1:
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | | (61) z4 = z3
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | | REDUCE: (46), (61) imply:
% 26.23/4.30 | | | | | | | | (62) $false
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | | CLOSE: (62) is inconsistent.
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | Case 2:
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | | (63) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : (
% 26.23/4.30 | | | | | | | | ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | | REF_CLOSE: (1), (3), (4), (8), (11), (48), (60), (63) are
% 26.23/4.30 | | | | | | | | inconsistent by sub-proof #2.
% 26.23/4.30 | | | | | | | |
% 26.23/4.30 | | | | | | | End of split
% 26.23/4.30 | | | | | | |
% 26.23/4.30 | | | | | | End of split
% 26.23/4.30 | | | | | |
% 26.23/4.30 | | | | | End of split
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | End of split
% 26.23/4.30 | | | |
% 26.23/4.30 | | | End of split
% 26.23/4.30 | | |
% 26.23/4.30 | | Case 2:
% 26.23/4.30 | | |
% 26.23/4.30 | | | (64) $lesseq(1, $difference(z4, z2))
% 26.23/4.30 | | |
% 26.23/4.30 | | | REF_CLOSE: (1), (5), (8), (9), (11), (21), (64) are inconsistent by
% 26.23/4.30 | | | sub-proof #1.
% 26.23/4.30 | | |
% 26.23/4.30 | | End of split
% 26.23/4.30 | |
% 26.23/4.30 | End of split
% 26.23/4.30 |
% 26.23/4.30 End of proof
% 26.23/4.30
% 26.23/4.30 Sub-proof #1 shows that the following formulas are inconsistent:
% 26.23/4.30 ----------------------------------------------------------------
% 26.23/4.30 (1) a(z2) = 10
% 26.23/4.30 (2) $lesseq(1, $difference(z1, z2))
% 26.23/4.30 (3) ~ (z4 = z1)
% 26.23/4.30 (4) $lesseq(all_3_0, 2)
% 26.23/4.30 (5) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) |
% 26.23/4.30 ~ (a(v2) = v0))
% 26.23/4.30 (6) z4 = z1 | z2 = z1 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 26.23/4.30 $difference(z4, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.30 (7) $lesseq(1, $difference(z4, z2))
% 26.23/4.30
% 26.23/4.30 Begin of proof
% 26.23/4.30 |
% 26.23/4.30 | BETA: splitting (6) gives:
% 26.23/4.30 |
% 26.23/4.30 | Case 1:
% 26.23/4.30 | |
% 26.23/4.30 | | (8) $lesseq(z4, z2)
% 26.23/4.30 | |
% 26.23/4.30 | | COMBINE_INEQS: (7), (8) imply:
% 26.23/4.30 | | (9) $false
% 26.23/4.30 | |
% 26.23/4.30 | | CLOSE: (9) is inconsistent.
% 26.23/4.30 | |
% 26.23/4.30 | Case 2:
% 26.23/4.30 | |
% 26.23/4.30 | | (10) z4 = z1 | z2 = z1 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~
% 26.23/4.30 | | (v0 = 10) & a(z2) = v0)
% 26.23/4.30 | |
% 26.23/4.30 | | BETA: splitting (10) gives:
% 26.23/4.30 | |
% 26.23/4.30 | | Case 1:
% 26.23/4.30 | | |
% 26.23/4.30 | | | (11) $lesseq(3, all_3_0)
% 26.23/4.30 | | |
% 26.23/4.30 | | | COMBINE_INEQS: (4), (11) imply:
% 26.23/4.30 | | | (12) $false
% 26.23/4.30 | | |
% 26.23/4.30 | | | CLOSE: (12) is inconsistent.
% 26.23/4.30 | | |
% 26.23/4.30 | | Case 2:
% 26.23/4.30 | | |
% 26.23/4.30 | | | (13) z4 = z1 | z2 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.30 | | |
% 26.23/4.30 | | | BETA: splitting (13) gives:
% 26.23/4.30 | | |
% 26.23/4.30 | | | Case 1:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | (14) z4 = z1
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | REDUCE: (3), (14) imply:
% 26.23/4.30 | | | | (15) $false
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | CLOSE: (15) is inconsistent.
% 26.23/4.30 | | | |
% 26.23/4.30 | | | Case 2:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | (16) z2 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | BETA: splitting (16) gives:
% 26.23/4.30 | | | |
% 26.23/4.30 | | | | Case 1:
% 26.23/4.30 | | | | |
% 26.23/4.30 | | | | | (17) z2 = z1
% 26.23/4.30 | | | | |
% 26.23/4.31 | | | | | REDUCE: (2), (17) imply:
% 26.23/4.31 | | | | | (18) $false
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | CLOSE: (18) is inconsistent.
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | Case 2:
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | (19) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | DELTA: instantiating (19) with fresh symbol all_88_0 gives:
% 26.23/4.31 | | | | | (20) ~ (all_88_0 = 10) & a(z2) = all_88_0
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | ALPHA: (20) implies:
% 26.23/4.31 | | | | | (21) ~ (all_88_0 = 10)
% 26.23/4.31 | | | | | (22) a(z2) = all_88_0
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | GROUND_INST: instantiating (5) with 10, all_88_0, z2, simplifying with
% 26.23/4.31 | | | | | (1), (22) gives:
% 26.23/4.31 | | | | | (23) all_88_0 = 10
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | REDUCE: (21), (23) imply:
% 26.23/4.31 | | | | | (24) $false
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | CLOSE: (24) is inconsistent.
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | End of split
% 26.23/4.31 | | | |
% 26.23/4.31 | | | End of split
% 26.23/4.31 | | |
% 26.23/4.31 | | End of split
% 26.23/4.31 | |
% 26.23/4.31 | End of split
% 26.23/4.31 |
% 26.23/4.31 End of proof
% 26.23/4.31
% 26.23/4.31 Sub-proof #2 shows that the following formulas are inconsistent:
% 26.23/4.31 ----------------------------------------------------------------
% 26.23/4.31 (1) a(z2) = 10
% 26.23/4.31 (2) ~ (z3 = z2)
% 26.23/4.31 (3) $lesseq(1, $difference(z1, z2))
% 26.23/4.31 (4) z4 = z2 | z4 = z1 | ? [v0: int] : ? [v1: int] : ? [v2: int] : (a(z4) =
% 26.23/4.31 v2 & a(z2) = v1 & a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 = 10) | ~ (v0 =
% 26.23/4.31 5)))
% 26.23/4.31 (5) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) |
% 26.23/4.31 ~ (a(v2) = v0))
% 26.23/4.31 (6) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) &
% 26.23/4.31 a(z2) = v0)
% 26.23/4.31 (7) $lesseq(1, $difference(z2, z4))
% 26.23/4.31 (8) ~ (z3 = z1)
% 26.23/4.31
% 26.23/4.31 Begin of proof
% 26.23/4.31 |
% 26.23/4.31 | BETA: splitting (6) gives:
% 26.23/4.31 |
% 26.23/4.31 | Case 1:
% 26.23/4.31 | |
% 26.23/4.31 | | (9) z4 = z2
% 26.23/4.31 | |
% 26.23/4.31 | | REDUCE: (7), (9) imply:
% 26.23/4.31 | | (10) $false
% 26.23/4.31 | |
% 26.23/4.31 | | CLOSE: (10) is inconsistent.
% 26.23/4.31 | |
% 26.23/4.31 | Case 2:
% 26.23/4.31 | |
% 26.23/4.31 | | (11) z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 26.23/4.31 | | v0)
% 26.23/4.31 | |
% 26.23/4.31 | | BETA: splitting (4) gives:
% 26.23/4.31 | |
% 26.23/4.31 | | Case 1:
% 26.23/4.31 | | |
% 26.23/4.31 | | | (12) z4 = z2
% 26.23/4.31 | | |
% 26.23/4.31 | | | REDUCE: (7), (12) imply:
% 26.23/4.31 | | | (13) $false
% 26.23/4.31 | | |
% 26.23/4.31 | | | CLOSE: (13) is inconsistent.
% 26.23/4.31 | | |
% 26.23/4.31 | | Case 2:
% 26.23/4.31 | | |
% 26.23/4.31 | | | (14) z4 = z1 | ? [v0: int] : ? [v1: int] : ? [v2: int] : (a(z4) = v2
% 26.23/4.31 | | | & a(z2) = v1 & a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 = 10) | ~ (v0
% 26.23/4.31 | | | = 5)))
% 26.23/4.31 | | |
% 26.23/4.31 | | | BETA: splitting (14) gives:
% 26.23/4.31 | | |
% 26.23/4.31 | | | Case 1:
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | (15) z4 = z1
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | REDUCE: (7), (15) imply:
% 26.23/4.31 | | | | (16) $lesseq(1, $difference(z2, z1))
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | COMBINE_INEQS: (3), (16) imply:
% 26.23/4.31 | | | | (17) $false
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | CLOSE: (17) is inconsistent.
% 26.23/4.31 | | | |
% 26.23/4.31 | | | Case 2:
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | (18) ? [v0: int] : ? [v1: int] : ? [v2: int] : (a(z4) = v2 & a(z2)
% 26.23/4.31 | | | | = v1 & a(z1) = v0 & ( ~ (v2 = 7) | ~ (v1 = 10) | ~ (v0 =
% 26.23/4.31 | | | | 5)))
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | DELTA: instantiating (18) with fresh symbols all_76_0, all_76_1,
% 26.23/4.31 | | | | all_76_2 gives:
% 26.23/4.31 | | | | (19) a(z4) = all_76_0 & a(z2) = all_76_1 & a(z1) = all_76_2 & ( ~
% 26.23/4.31 | | | | (all_76_0 = 7) | ~ (all_76_1 = 10) | ~ (all_76_2 = 5))
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | ALPHA: (19) implies:
% 26.23/4.31 | | | | (20) a(z2) = all_76_1
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | BETA: splitting (11) gives:
% 26.23/4.31 | | | |
% 26.23/4.31 | | | | Case 1:
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | (21) z4 = z1
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | REDUCE: (7), (21) imply:
% 26.23/4.31 | | | | | (22) $lesseq(1, $difference(z2, z1))
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | COMBINE_INEQS: (3), (22) imply:
% 26.23/4.31 | | | | | (23) $false
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | CLOSE: (23) is inconsistent.
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | Case 2:
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | (24) z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | BETA: splitting (24) gives:
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | | Case 1:
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | (25) z3 = z2
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | REDUCE: (2), (25) imply:
% 26.23/4.31 | | | | | | (26) $false
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | CLOSE: (26) is inconsistent.
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | Case 2:
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | (27) z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | BETA: splitting (27) gives:
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | | Case 1:
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | (28) z3 = z1
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | REDUCE: (8), (28) imply:
% 26.23/4.31 | | | | | | | (29) $false
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | CLOSE: (29) is inconsistent.
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | Case 2:
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | (30) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | DELTA: instantiating (30) with fresh symbol all_90_0 gives:
% 26.23/4.31 | | | | | | | (31) ~ (all_90_0 = 10) & a(z2) = all_90_0
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | ALPHA: (31) implies:
% 26.23/4.31 | | | | | | | (32) ~ (all_90_0 = 10)
% 26.23/4.31 | | | | | | | (33) a(z2) = all_90_0
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | GROUND_INST: instantiating (5) with 10, all_90_0, z2, simplifying
% 26.23/4.31 | | | | | | | with (1), (33) gives:
% 26.23/4.31 | | | | | | | (34) all_90_0 = 10
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | GROUND_INST: instantiating (5) with all_76_1, all_90_0, z2,
% 26.23/4.31 | | | | | | | simplifying with (20), (33) gives:
% 26.23/4.31 | | | | | | | (35) all_90_0 = all_76_1
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | COMBINE_EQS: (34), (35) imply:
% 26.23/4.31 | | | | | | | (36) all_76_1 = 10
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | REDUCE: (32), (34) imply:
% 26.23/4.31 | | | | | | | (37) $false
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | | CLOSE: (37) is inconsistent.
% 26.23/4.31 | | | | | | |
% 26.23/4.31 | | | | | | End of split
% 26.23/4.31 | | | | | |
% 26.23/4.31 | | | | | End of split
% 26.23/4.31 | | | | |
% 26.23/4.31 | | | | End of split
% 26.23/4.31 | | | |
% 26.23/4.31 | | | End of split
% 26.23/4.31 | | |
% 26.23/4.31 | | End of split
% 26.23/4.31 | |
% 26.23/4.31 | End of split
% 26.23/4.31 |
% 26.23/4.32 End of proof
% 26.23/4.32 % SZS output end Proof for theBenchmark
% 26.23/4.32
% 26.23/4.32 3730ms
%------------------------------------------------------------------------------