TSTP Solution File: SWW004_1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW004_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 : n015.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 00:48:51 EDT 2023
% Result : Theorem 19.10s 3.45s
% Output : Proof 26.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW004_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 20:48:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.56/1.76 Prover 5: Preprocessing ...
% 7.56/1.76 Prover 6: Preprocessing ...
% 7.56/1.76 Prover 3: Preprocessing ...
% 7.56/1.77 Prover 4: Preprocessing ...
% 7.56/1.78 Prover 1: Preprocessing ...
% 7.56/1.79 Prover 0: Preprocessing ...
% 7.97/1.80 Prover 2: Preprocessing ...
% 17.04/3.06 Prover 6: Proving ...
% 17.04/3.09 Prover 1: Constructing countermodel ...
% 17.67/3.11 Prover 3: Constructing countermodel ...
% 19.10/3.43 Prover 3: proved (2798ms)
% 19.10/3.43
% 19.10/3.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.10/3.45
% 19.10/3.46 Prover 6: stopped
% 19.85/3.47 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 19.85/3.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 21.38/3.63 Prover 1: Found proof (size 51)
% 21.38/3.63 Prover 1: proved (2998ms)
% 21.77/3.70 Prover 8: Preprocessing ...
% 21.77/3.74 Prover 7: Preprocessing ...
% 24.09/3.99 Prover 0: Proving ...
% 24.09/4.00 Prover 0: stopped
% 24.09/4.01 Prover 4: Constructing countermodel ...
% 24.09/4.01 Prover 4: stopped
% 24.09/4.02 Prover 5: Proving ...
% 24.09/4.02 Prover 5: stopped
% 24.09/4.04 Prover 8: Warning: ignoring some quantifiers
% 24.65/4.07 Prover 8: Constructing countermodel ...
% 24.65/4.07 Prover 8: stopped
% 24.65/4.09 Prover 2: Proving ...
% 24.65/4.09 Prover 2: stopped
% 25.46/4.29 Prover 7: stopped
% 25.46/4.29
% 25.46/4.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.46/4.29
% 25.46/4.30 % SZS output start Proof for theBenchmark
% 25.46/4.31 Assumptions after simplification:
% 25.46/4.31 ---------------------------------
% 25.46/4.31
% 25.46/4.31 (0)
% 26.13/4.44 ? [v0: int] : ( ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~
% 26.13/4.44 (z4 = z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 26.13/4.44 $lesseq(v0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 5 & b(z3) = 5 &
% 26.13/4.44 b(z2) = v0 & a(z4) = 1 & a(z3) = 7 & a(z2) = 10 & a(z1) = 5 & ! [v1: int] :
% 26.13/4.44 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: int] :
% 26.13/4.44 ! [v7: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~
% 26.13/4.44 ($lesseq(v7, 3)) | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v3) = v7) | ~
% 26.13/4.44 (b(v2) = v6) | ~ (b(v1) = v5) | ? [v8: int] : ? [v9: int] : ? [v10:
% 26.13/4.44 int] : (a(v3) = v10 & a(v2) = v9 & a(v1) = v8 & ( ~ (v10 = 8) | ~ (v9 =
% 26.13/4.44 10) | ~ (v8 = 3)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.44 ! [v4: int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 = v2 | v4 = v1 |
% 26.13/4.44 v3 = v2 | v3 = v1 | ~ ($lesseq(v6, 3)) | ~ ($lesseq(v5, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v6) | ~
% 26.13/4.44 (b(v2) = 2) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8: int] : ? [v9: int]
% 26.13/4.44 : (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 = 7) | ~ (v8 = 10) | ~
% 26.13/4.44 (v7 = 3)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.13/4.44 int] : ! [v5: int] : ! [v6: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 26.13/4.44 v2 | v3 = v1 | ~ ($lesseq(v6, 2)) | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) =
% 26.13/4.44 v6) | ~ (b(v1) = v5) | ? [v7: int] : ? [v8: int] : ? [v9: int] :
% 26.13/4.44 (a(v3) = v9 & a(v2) = v8 & a(v1) = v7 & ( ~ (v9 = 7) | ~ (v8 = 10) | ~
% 26.13/4.44 (v7 = 3)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.13/4.44 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 26.13/4.44 ~ ($lesseq(v5, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5)
% 26.13/4.44 | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~ (a(v1) = 12) | ? [v6: int] : ?
% 26.13/4.44 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~
% 26.13/4.44 (b(v2) = 2) | ~ (a(v1) = 2) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 26.13/4.44 a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2:
% 26.13/4.44 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 26.13/4.44 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = v5) | ~ (b(v2) =
% 26.13/4.44 2) | ~ (a(v1) = 1) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2)
% 26.13/4.44 = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : !
% 26.13/4.44 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 26.13/4.44 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 26.13/4.44 v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v1) = 12) | ? [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & (
% 26.13/4.44 ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 26.13/4.44 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 26.13/4.44 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 26.13/4.44 | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 4) | ?
% 26.13/4.44 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~
% 26.13/4.44 (v6 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.13/4.44 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 26.13/4.44 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5)
% 26.13/4.44 | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~ (a(v1) = 2) | ? [v6: int] : ?
% 26.13/4.44 [v7: int] : (a(v3) = v7 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v3) = 2) | ~
% 26.13/4.44 (b(v2) = v5) | ~ (a(v1) = 1) | ? [v6: int] : ? [v7: int] : (a(v3) = v7
% 26.13/4.44 & a(v2) = v6 & ( ~ (v7 = 7) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2:
% 26.13/4.44 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 26.13/4.44 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v4) = 5) | ~ (b(v2) = v5) | ~ (a(v3) =
% 26.13/4.44 7) | ~ (a(v1) = 5) | ? [v6: int] : ? [v7: int] : (a(v4) = v7 & a(v2)
% 26.13/4.44 = v6 & ( ~ (v7 = 2) | ~ (v6 = 10)))) & ! [v1: int] : ! [v2: int] : !
% 26.13/4.44 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 26.13/4.44 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 26.13/4.44 v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] :
% 26.13/4.44 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 =
% 26.13/4.44 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 5) | ~ (b(v2) =
% 26.13/4.44 v5) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v3) = 2) | ~
% 26.13/4.44 (b(v2) = v5) | ~ (b(v1) = 5) | ? [v6: int] : ? [v7: int] : ? [v8: int]
% 26.13/4.44 : (a(v3) = v8 & a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 5) | ~ (v7 = 10) | ~
% 26.13/4.44 (v6 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.13/4.44 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 26.13/4.44 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 26.13/4.44 | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ?
% 26.13/4.44 [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (b(v1) = 5) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 &
% 26.13/4.44 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 4)))) & ! [v1: int] : ! [v2:
% 26.13/4.44 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 26.13/4.44 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) =
% 26.13/4.44 5) | ~ (a(v3) = 6) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1)
% 26.13/4.44 = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2: int] : !
% 26.13/4.44 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 26.13/4.44 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 26.13/4.44 v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~
% 26.13/4.44 (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~
% 26.13/4.44 (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 26.13/4.44 int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 =
% 26.13/4.44 v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 26.13/4.44 | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 5) | ?
% 26.13/4.44 [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~
% 26.13/4.44 (v6 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.13/4.44 int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 |
% 26.13/4.44 ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2)
% 26.13/4.44 | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v6: int] : ?
% 26.13/4.44 [v7: int] : (a(v2) = v7 & a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 7)))) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v4) = 2) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v3) = 8) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v4) = 2) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v4) = 2) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v4) = 1) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (a(v4) = 1) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v4 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~
% 26.13/4.44 (a(v4) = 2) | ~ (a(v3) = 7) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 &
% 26.13/4.44 a(v1) = v6 & ( ~ (v7 = 10) | ~ (v6 = 5)))) & ! [v1: int] : ! [v2:
% 26.13/4.44 int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 |
% 26.13/4.44 v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (b(v1) = 5) | ~ (a(v4) =
% 26.13/4.44 2) | ~ (a(v3) = 5) | ? [v6: int] : ? [v7: int] : (a(v2) = v7 & a(v1)
% 26.13/4.44 = v6 & ( ~ (v7 = 10) | ~ (v6 = 7)))) & ! [v1: int] : ! [v2: int] : !
% 26.13/4.44 [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 = v2 | v4 = v1 | v3
% 26.13/4.44 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1, $difference(v1,
% 26.13/4.44 v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~ (a(v3) = 8) | ~
% 26.13/4.44 (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & ! [v1: int] :
% 26.13/4.44 ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4 = v3 | v4 =
% 26.13/4.44 v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(1,
% 26.13/4.44 $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 2) | ~ (a(v3) =
% 26.13/4.44 8) | ~ (a(v1) = 4) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6)) & !
% 26.13/4.44 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v4
% 26.13/4.44 = v3 | v4 = v2 | v4 = v1 | v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v5) | ~ (a(v4) = 1) | ~
% 26.13/4.44 (a(v3) = 8) | ~ (a(v1) = 5) | ? [v6: int] : ( ~ (v6 = 10) & a(v2) = v6))
% 26.13/4.44 & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v5) | ~ (b(v2) = 2) | ~
% 26.13/4.44 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 26.13/4.44 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 26.13/4.44 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] :
% 26.13/4.44 (v3 = v2 | v3 = v1 | ~ ($lesseq(v5, 2)) | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v5) | ~
% 26.13/4.44 (b(v1) = v4) | ? [v6: int] : ? [v7: int] : ? [v8: int] : (a(v3) = v8 &
% 26.13/4.44 a(v2) = v7 & a(v1) = v6 & ( ~ (v8 = 8) | ~ (v7 = 10) | ~ (v6 = 3)))) &
% 26.13/4.44 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.13/4.44 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.44 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 26.13/4.44 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 26.13/4.44 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int] :
% 26.13/4.44 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 26.13/4.44 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 26.13/4.44 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 26.13/4.44 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.13/4.44 v1 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.44 (b(v3) = v4) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 26.13/4.44 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 26.13/4.44 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 26.13/4.44 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 26.13/4.44 (a(v1) = 12) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & (
% 26.13/4.44 ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 26.13/4.44 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 26.13/4.44 (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 26.13/4.44 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 26.13/4.44 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 3)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = v4) | ~ (b(v2) = 2) | ~
% 26.13/4.44 (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) = v6 & a(v2) = v5 & ( ~
% 26.13/4.44 (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : ! [v2: int] : ! [v3:
% 26.13/4.44 int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 26.13/4.44 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = v4) | ~
% 26.13/4.45 (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) = v5)) & ! [v1: int] :
% 26.13/4.45 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 26.13/4.45 ~ (b(v2) = v4) | ~ (a(v1) = 6) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 26.13/4.45 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 26.13/4.45 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 26.13/4.45 | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ?
% 26.13/4.45 [v6: int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7
% 26.13/4.45 = 7) | ~ (v6 = 10) | ~ (v5 = 12)))) & ! [v1: int] : ! [v2: int]
% 26.13/4.45 : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) |
% 26.13/4.45 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) |
% 26.13/4.45 ~ (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 26.13/4.45 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 26.13/4.45 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.13/4.45 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.45 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 26.13/4.45 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 26.13/4.45 7) | ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v1: int] : ! [v2: int] :
% 26.13/4.45 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 26.13/4.45 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 26.13/4.45 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 26.13/4.45 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 7) | ~ (v6 = 10) | ~ (v5 = 2)))) &
% 26.13/4.45 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.13/4.45 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.45 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (b(v1) = 5) | ? [v5: int] : ? [v6:
% 26.13/4.45 int] : ? [v7: int] : (a(v3) = v7 & a(v2) = v6 & a(v1) = v5 & ( ~ (v7 =
% 26.13/4.45 7) | ~ (v6 = 10) | ~ (v5 = 1)))) & ! [v1: int] : ! [v2: int] :
% 26.13/4.45 ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~
% 26.13/4.45 ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) | ~ (b(v2) = v4) | ~
% 26.13/4.45 (b(v1) = 5) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v3) = v7 &
% 26.13/4.45 a(v2) = v6 & a(v1) = v5 & ( ~ (v7 = 6) | ~ (v6 = 10) | ~ (v5 = 5)))) &
% 26.13/4.45 ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.13/4.45 v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.45 (b(v3) = 2) | ~ (b(v2) = v4) | ~ (a(v1) = 12) | ? [v5: int] : ? [v6:
% 26.13/4.45 int] : (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & !
% 26.13/4.45 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1
% 26.13/4.45 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) =
% 26.13/4.45 2) | ~ (b(v2) = v4) | ~ (a(v1) = 5) | ? [v5: int] : ? [v6: int] :
% 26.13/4.45 (a(v3) = v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] :
% 26.13/4.45 ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 26.13/4.45 ~ (b(v2) = v4) | ~ (a(v1) = 4) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 26.13/4.45 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 26.13/4.45 ~ (b(v2) = v4) | ~ (a(v1) = 2) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 26.13/4.45 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 2) |
% 26.13/4.45 ~ (b(v2) = v4) | ~ (a(v1) = 1) | ? [v5: int] : ? [v6: int] : (a(v3) =
% 26.13/4.45 v6 & a(v2) = v5 & ( ~ (v6 = 8) | ~ (v5 = 10)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 26.13/4.45 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.13/4.45 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 26.13/4.45 | ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.13/4.45 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 26.13/4.45 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.13/4.45 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 26.13/4.45 | ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.13/4.45 v6 & a(v1) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | ~
% 26.13/4.45 ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = v4)
% 26.13/4.45 | ~ (a(v3) = 8) | ~ (a(v1) = 7) | ? [v5: int] : ( ~ (v5 = 10) & a(v2) =
% 26.13/4.45 v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 =
% 26.13/4.45 v2 | v3 = v1 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v1, v2)))
% 26.13/4.45 | ~ (b(v2) = v4) | ~ (a(v3) = 8) | ~ (a(v1) = 6) | ? [v5: int] : ( ~
% 26.13/4.45 (v5 = 10) & a(v2) = v5)) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) |
% 26.13/4.45 ~ (b(v2) = 2) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 26.13/4.45 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 26.13/4.45 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 26.13/4.45 : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 7) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 7) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 6) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 6) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 7)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 5)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 4)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 2)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 1)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 12)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 6)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 4)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.45 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.45 ~ (b(v1) = 5) | ~ (a(v3) = 4) | ? [v4: int] : ? [v5: int] : (a(v2) =
% 26.13/4.45 v5 & a(v1) = v4 & ( ~ (v5 = 10) | ~ (v4 = 2)))) & ! [v1: int] : !
% 26.13/4.45 [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 | ~ ($lesseq(1,
% 26.13/4.45 $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (b(v1) = 5) | ~ (a(v3) =
% 26.13/4.45 4) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 =
% 26.13/4.45 10) | ~ (v4 = 1)))) & ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.13/4.46 (v3 = v2 | v3 = v1 | ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) |
% 26.13/4.46 ~ (a(v3) = 8) | ~ (a(v1) = 5) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 26.13/4.46 v4)) & ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = v2 | v3 = v1 |
% 26.13/4.46 ~ ($lesseq(1, $difference(v1, v2))) | ~ (b(v2) = 2) | ~ (a(v3) = 8) |
% 26.13/4.46 ~ (a(v1) = 4) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int]
% 26.13/4.46 : ! [v2: int] : ! [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.13/4.46 $difference(v1, v2))) | ~ (b(v2) = v3) | ~ (a(v1) = 9) | ? [v4:
% 26.13/4.46 int] : ( ~ (v4 = 10) & a(v2) = v4)) & ! [v1: int] : ! [v2: int] : !
% 26.13/4.46 [v3: int] : ( ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v1, v2))) | ~
% 26.13/4.46 (b(v2) = v3) | ~ (a(v1) = 8) | ? [v4: int] : ( ~ (v4 = 10) & a(v2) =
% 26.13/4.46 v4)) & ! [v1: int] : ! [v2: int] : (v2 = v1 | ~ (a(v2) = 10) | ~
% 26.13/4.46 (a(v1) = 10)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 26.13/4.46 (b(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 0) | ~
% 26.13/4.46 (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(13, v2)) |
% 26.13/4.46 ~ (a(v1) = v2)) & ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(6, v2)) |
% 26.13/4.46 ~ (b(v1) = v2)))
% 26.13/4.46
% 26.13/4.46 (function-axioms)
% 26.13/4.46 ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (b(v2) = v1) | ~
% 26.13/4.46 (b(v2) = v0)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~
% 26.13/4.46 (a(v2) = v1) | ~ (a(v2) = v0))
% 26.13/4.46
% 26.13/4.46 Those formulas are unsatisfiable:
% 26.13/4.46 ---------------------------------
% 26.13/4.46
% 26.13/4.46 Begin of proof
% 26.13/4.46 |
% 26.13/4.46 | ALPHA: (function-axioms) implies:
% 26.13/4.46 | (1) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1)
% 26.13/4.46 | | ~ (a(v2) = v0))
% 26.13/4.46 |
% 26.13/4.46 | DELTA: instantiating (0) with fresh symbol all_3_0 gives:
% 26.73/4.52 | (2) ~ (z5 = z4) & ~ (z5 = z3) & ~ (z5 = z2) & ~ (z5 = z1) & ~ (z4 =
% 26.73/4.52 | z3) & ~ (z4 = z2) & ~ (z4 = z1) & ~ (z3 = z2) & ~ (z3 = z1) &
% 26.73/4.52 | $lesseq(all_3_0, 2) & $lesseq(1, $difference(z1, z2)) & b(z4) = 5 &
% 26.73/4.52 | b(z3) = 5 & b(z2) = all_3_0 & a(z4) = 1 & a(z3) = 7 & a(z2) = 10 &
% 26.73/4.52 | a(z1) = 5 & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.73/4.52 | ! [v4: int] : ! [v5: int] : ! [v6: int] : (v3 = v2 | v3 = v1 | v3 =
% 26.73/4.52 | v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v6, 3)) | ~ ($lesseq(v5, 2)) |
% 26.73/4.52 | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3)
% 26.73/4.52 | = 2) | ~ (b(v2) = v6) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ?
% 26.73/4.52 | [v7: int] : ? [v8: int] : ? [v9: int] : (a(v2) = v9 & a(v1) = v8 &
% 26.73/4.52 | a(v0) = v7 & ( ~ (v9 = 8) | ~ (v8 = 10) | ~ (v7 = 3)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : !
% 26.73/4.52 | [v5: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v5, 3)) | ~ ($lesseq(v4, 3)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = v5) | ~
% 26.73/4.52 | (b(v1) = 2) | ~ (b(v0) = v4) | ? [v6: int] : ? [v7: int] : ? [v8:
% 26.73/4.52 | int] : (a(v2) = v8 & a(v1) = v7 & a(v0) = v6 & ( ~ (v8 = 7) | ~
% 26.73/4.52 | (v7 = 10) | ~ (v6 = 3)))) & ! [v0: int] : ! [v1: int] : !
% 26.73/4.52 | [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v3 = v2 | v3
% 26.73/4.52 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v5, 2)) | ~
% 26.73/4.52 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 26.73/4.52 | 5) | ~ (b(v2) = 2) | ~ (b(v1) = v5) | ~ (b(v0) = v4) | ? [v6:
% 26.73/4.52 | int] : ? [v7: int] : ? [v8: int] : (a(v2) = v8 & a(v1) = v7 &
% 26.73/4.52 | a(v0) = v6 & ( ~ (v8 = 7) | ~ (v7 = 10) | ~ (v6 = 3)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 3))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) =
% 26.73/4.52 | v4) | ~ (b(v1) = 2) | ~ (a(v0) = 12) | ? [v5: int] : ? [v6:
% 26.73/4.52 | int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) &
% 26.73/4.52 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 26.73/4.52 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4,
% 26.73/4.52 | 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~
% 26.73/4.52 | (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 2) | ? [v5: int] : ?
% 26.73/4.52 | [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10))))
% 26.73/4.52 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.73/4.52 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v4, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) =
% 26.73/4.52 | 5) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v5:
% 26.73/4.52 | int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~
% 26.73/4.52 | (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.73/4.52 | [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2
% 26.73/4.52 | = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 26.73/4.52 | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 12) |
% 26.73/4.52 | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7)
% 26.73/4.52 | | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.73/4.52 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.73/4.52 | | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 26.73/4.52 | | ? [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 =
% 26.73/4.52 | 7) | ~ (v5 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2:
% 26.73/4.52 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 |
% 26.73/4.52 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) | ~
% 26.73/4.52 | (b(v1) = v4) | ~ (a(v0) = 2) | ? [v5: int] : ? [v6: int] : (a(v2)
% 26.73/4.52 | = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0: int] :
% 26.73/4.52 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 26.73/4.52 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v2) = 2) |
% 26.73/4.52 | ~ (b(v1) = v4) | ~ (a(v0) = 1) | ? [v5: int] : ? [v6: int] :
% 26.73/4.52 | (a(v2) = v6 & a(v1) = v5 & ( ~ (v6 = 7) | ~ (v5 = 10)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 5) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (a(v2) = 7) | ~ (a(v0) = 5) | ? [v5: int] : ? [v6: int]
% 26.73/4.52 | : (a(v3) = v6 & a(v1) = v5 & ( ~ (v6 = 2) | ~ (v5 = 10)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) =
% 26.73/4.52 | 5) | ~ (b(v1) = v4) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 26.73/4.52 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.73/4.52 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.73/4.52 | | ~ (b(v3) = 2) | ~ (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v0) = 4)
% 26.73/4.52 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 26.73/4.52 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v2) = 2) |
% 26.73/4.52 | ~ (b(v1) = v4) | ~ (b(v0) = 5) | ? [v5: int] : ? [v6: int] : ?
% 26.73/4.52 | [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 5) | ~
% 26.73/4.52 | (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] : ! [v1: int] : !
% 26.73/4.52 | [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0
% 26.73/4.52 | | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~
% 26.73/4.52 | (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] : (a(v1) =
% 26.73/4.52 | v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0: int] :
% 26.73/4.52 | ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 |
% 26.73/4.52 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) = v4)
% 26.73/4.52 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] :
% 26.73/4.52 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 4)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v5: int] : ? [v6: int]
% 26.73/4.52 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 26.73/4.52 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6: int]
% 26.73/4.52 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 6)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v5: int] : ? [v6: int]
% 26.73/4.52 | : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v3) = 2) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 =
% 26.73/4.52 | 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 |
% 26.73/4.52 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.73/4.52 | | ~ (b(v3) = 2) | ~ (b(v1) = v4) | ~ (a(v2) = 8) | ~ (a(v0) = 4)
% 26.73/4.52 | | ? [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3
% 26.73/4.52 | = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 26.73/4.52 | | ~ (a(v3) = 2) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 26.73/4.52 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 26.73/4.52 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.73/4.52 | (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~ (a(v0) = 4) | ?
% 26.73/4.52 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 26.73/4.52 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.73/4.52 | v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v4)
% 26.73/4.52 | | ~ (a(v3) = 1) | ~ (a(v0) = 5) | ? [v5: int] : ( ~ (v5 = 10) &
% 26.73/4.52 | a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 =
% 26.73/4.52 | v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.73/4.52 | (b(v2) = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 1) | ~ (a(v0) = 4) | ?
% 26.73/4.52 | [v5: int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1:
% 26.73/4.52 | int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 =
% 26.73/4.52 | v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v4) | ~ (b(v0) = 5)
% 26.73/4.52 | | ~ (a(v3) = 2) | ~ (a(v2) = 7) | ? [v5: int] : ? [v6: int] :
% 26.73/4.52 | (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 5)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] :
% 26.73/4.52 | (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2))
% 26.73/4.52 | | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v4) | ~ (b(v0)
% 26.73/4.52 | = 5) | ~ (a(v3) = 2) | ~ (a(v2) = 5) | ? [v5: int] : ? [v6:
% 26.73/4.52 | int] : (a(v1) = v6 & a(v0) = v5 & ( ~ (v6 = 10) | ~ (v5 = 7)))) &
% 26.73/4.52 | ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int]
% 26.73/4.52 | : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4,
% 26.73/4.52 | 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v4) | ~
% 26.73/4.52 | (a(v3) = 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5: int] : ( ~
% 26.73/4.52 | (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 26.73/4.52 | int] : ! [v3: int] : ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 |
% 26.73/4.52 | v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v1) = v4) | ~ (a(v3) = 2) | ~
% 26.73/4.52 | (a(v2) = 8) | ~ (a(v0) = 4) | ? [v5: int] : ( ~ (v5 = 10) & a(v1) =
% 26.73/4.52 | v5)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] :
% 26.73/4.52 | ! [v4: int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | v4) | ~ (a(v3) = 1) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v5:
% 26.73/4.52 | int] : ( ~ (v5 = 10) & a(v1) = v5)) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : ! [v3: int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v4, 3)) | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = v4) | ~ (b(v1) = 2) | ~
% 26.73/4.52 | (b(v0) = v3) | ? [v5: int] : ? [v6: int] : ? [v7: int] : (a(v2) =
% 26.73/4.52 | v7 & a(v1) = v6 & a(v0) = v5 & ( ~ (v7 = 8) | ~ (v6 = 10) | ~ (v5
% 26.73/4.52 | = 3)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : ! [v4: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v4, 2)) | ~
% 26.73/4.52 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | 2) | ~ (b(v1) = v4) | ~ (b(v0) = v3) | ? [v5: int] : ? [v6:
% 26.73/4.52 | int] : ? [v7: int] : (a(v2) = v7 & a(v1) = v6 & a(v0) = v5 & ( ~
% 26.73/4.52 | (v7 = 8) | ~ (v6 = 10) | ~ (v5 = 3)))) & ! [v0: int] : ! [v1:
% 26.73/4.52 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | v3) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 26.73/4.52 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 26.73/4.52 | | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 26.73/4.52 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 26.73/4.52 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 26.73/4.52 | ~ (v4 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.73/4.52 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 26.73/4.52 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.73/4.52 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.73/4.52 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) = 2) | ~
% 26.73/4.52 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 26.73/4.52 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 26.73/4.52 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 3)) |
% 26.73/4.52 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = v3) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (a(v0) = 2) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 26.73/4.52 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 3)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | v3) | ~ (b(v1) = 2) | ~ (a(v0) = 1) | ? [v4: int] : ? [v5: int]
% 26.73/4.52 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.73/4.52 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.73/4.52 | (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] : ( ~
% 26.73/4.52 | (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2:
% 26.73/4.52 | int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5) | ~ (b(v1) = v3)
% 26.73/4.52 | | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & !
% 26.73/4.52 | [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2
% 26.73/4.52 | = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) |
% 26.73/4.52 | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ?
% 26.73/4.52 | [v5: int] : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & (
% 26.73/4.52 | ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4 = 12)))) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | 2) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int]
% 26.73/4.52 | : ? [v6: int] : (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7)
% 26.73/4.52 | | ~ (v5 = 10) | ~ (v4 = 5)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.73/4.52 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 26.73/4.52 | v3) | ~ (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] :
% 26.73/4.52 | (a(v2) = v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) |
% 26.73/4.52 | ~ (v4 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.73/4.52 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.73/4.52 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.73/4.52 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.73/4.52 | = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.73/4.52 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.73/4.52 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 7) | ~ (v5 = 10) | ~ (v4
% 26.73/4.52 | = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.73/4.52 | (b(v0) = 5) | ? [v4: int] : ? [v5: int] : ? [v6: int] : (a(v2) =
% 26.73/4.52 | v6 & a(v1) = v5 & a(v0) = v4 & ( ~ (v6 = 6) | ~ (v5 = 10) | ~ (v4
% 26.73/4.52 | = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3:
% 26.73/4.52 | int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~
% 26.73/4.52 | (a(v0) = 12) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4
% 26.73/4.52 | & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : !
% 26.73/4.52 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.73/4.52 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 2) | ~ (b(v1) =
% 26.73/4.52 | v3) | ~ (a(v0) = 5) | ? [v4: int] : ? [v5: int] : (a(v2) = v5 &
% 26.73/4.52 | a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | 2) | ~ (b(v1) = v3) | ~ (a(v0) = 4) | ? [v4: int] : ? [v5: int]
% 26.73/4.52 | : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.73/4.52 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.73/4.52 | (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 2) | ? [v4: int] : ?
% 26.73/4.52 | [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) | ~ (v4 = 10))))
% 26.73/4.52 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 26.73/4.52 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v2) = 2) | ~ (b(v1) = v3) | ~ (a(v0) = 1) | ?
% 26.73/4.52 | [v4: int] : ? [v5: int] : (a(v2) = v5 & a(v1) = v4 & ( ~ (v5 = 8) |
% 26.73/4.52 | ~ (v4 = 10)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : !
% 26.73/4.52 | [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1,
% 26.73/4.52 | $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) = 5) | ~
% 26.73/4.52 | (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 & a(v0) = v4
% 26.73/4.52 | & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0: int] : ! [v1: int] : !
% 26.73/4.52 | [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(v3, 2)) |
% 26.73/4.52 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v3) | ~ (b(v0) =
% 26.73/4.52 | 5) | ~ (a(v2) = 7) | ? [v4: int] : ? [v5: int] : (a(v1) = v5 &
% 26.73/4.52 | a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6)))) & ! [v0: int] : !
% 26.73/4.52 | [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ? [v5: int]
% 26.73/4.52 | : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 7)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 =
% 26.73/4.52 | v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~
% 26.73/4.52 | (b(v1) = v3) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v4: int] : ?
% 26.73/4.52 | [v5: int] : (a(v1) = v5 & a(v0) = v4 & ( ~ (v5 = 10) | ~ (v4 = 6))))
% 26.73/4.52 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1
% 26.73/4.52 | | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = v3) | ~ (a(v2) = 8) | ~ (a(v0) = 7) | ?
% 26.73/4.52 | [v4: int] : ( ~ (v4 = 10) & a(v1) = v4)) & ! [v0: int] : ! [v1:
% 26.73/4.52 | int] : ! [v2: int] : ! [v3: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | v3) | ~ (a(v2) = 8) | ~ (a(v0) = 6) | ? [v4: int] : ( ~ (v4 =
% 26.73/4.52 | 10) & a(v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) =
% 26.73/4.52 | 5) | ~ (b(v1) = 2) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 26.73/4.52 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.73/4.52 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2) = 5)
% 26.73/4.52 | | ~ (b(v1) = 2) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 26.73/4.52 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.73/4.52 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 26.73/4.52 | | ~ (b(v0) = 5) | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] :
% 26.73/4.52 | (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 7) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.73/4.52 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 6) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int]
% 26.73/4.52 | : ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 7)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.73/4.52 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 4)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.73/4.52 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 5) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 12)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] :
% 26.73/4.52 | (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 7)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 6)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.73/4.52 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.52 | ~ (v3 = 5)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.73/4.52 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.52 | 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int]
% 26.73/4.52 | : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) | ~ (v3 = 4)))) & ! [v0:
% 26.73/4.52 | int] : ! [v1: int] : ! [v2: int] : (v2 = v1 | v2 = v0 | ~
% 26.73/4.52 | ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) |
% 26.73/4.52 | ~ (a(v2) = 4) | ? [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) =
% 26.73/4.52 | v3 & ( ~ (v4 = 10) | ~ (v3 = 2)))) & ! [v0: int] : ! [v1: int] :
% 26.73/4.52 | ! [v2: int] : (v2 = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0,
% 26.73/4.52 | v1))) | ~ (b(v1) = 2) | ~ (b(v0) = 5) | ~ (a(v2) = 4) | ?
% 26.73/4.53 | [v3: int] : ? [v4: int] : (a(v1) = v4 & a(v0) = v3 & ( ~ (v4 = 10) |
% 26.73/4.53 | ~ (v3 = 1)))) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2
% 26.73/4.53 | = v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.53 | 2) | ~ (a(v2) = 8) | ~ (a(v0) = 5) | ? [v3: int] : ( ~ (v3 = 10)
% 26.73/4.53 | & a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 =
% 26.73/4.53 | v1 | v2 = v0 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = 2)
% 26.73/4.53 | | ~ (a(v2) = 8) | ~ (a(v0) = 4) | ? [v3: int] : ( ~ (v3 = 10) &
% 26.73/4.53 | a(v1) = v3)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~
% 26.73/4.53 | ($lesseq(v2, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) =
% 26.73/4.53 | v2) | ~ (a(v0) = 9) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3))
% 26.73/4.53 | & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ ($lesseq(v2, 2)) |
% 26.73/4.53 | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v1) = v2) | ~ (a(v0) =
% 26.73/4.53 | 8) | ? [v3: int] : ( ~ (v3 = 10) & a(v1) = v3)) & ! [v0: int] :
% 26.73/4.53 | ! [v1: int] : (v1 = v0 | ~ (a(v1) = 10) | ~ (a(v0) = 10)) & ! [v0:
% 26.73/4.53 | int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (b(v0) = v1)) & !
% 26.73/4.53 | [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, 0) | ~ (a(v0) = v1)) &
% 26.73/4.53 | ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(13, v1)) | ~ (a(v0) =
% 26.73/4.53 | v1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(6, v1)) | ~
% 26.73/4.53 | (b(v0) = v1))
% 26.73/4.53 |
% 26.73/4.53 | ALPHA: (2) implies:
% 26.73/4.53 | (3) ~ (z3 = z1)
% 26.73/4.53 | (4) ~ (z3 = z2)
% 26.73/4.53 | (5) ~ (z4 = z1)
% 26.73/4.53 | (6) ~ (z4 = z2)
% 26.73/4.53 | (7) ~ (z4 = z3)
% 26.73/4.53 | (8) $lesseq(1, $difference(z1, z2))
% 26.73/4.53 | (9) $lesseq(all_3_0, 2)
% 26.73/4.53 | (10) a(z1) = 5
% 26.73/4.53 | (11) a(z2) = 10
% 26.73/4.53 | (12) a(z3) = 7
% 26.73/4.53 | (13) a(z4) = 1
% 26.73/4.53 | (14) b(z2) = all_3_0
% 26.73/4.53 | (15) b(z3) = 5
% 26.73/4.53 | (16) b(z4) = 5
% 26.73/4.53 | (17) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v2 = v1 |
% 26.73/4.53 | v2 = v0 | ~ ($lesseq(v3, 2)) | ~ ($lesseq(1, $difference(v0, v1)))
% 26.73/4.53 | | ~ (b(v2) = 5) | ~ (b(v1) = v3) | ~ (a(v0) = 7) | ? [v4: int] :
% 26.73/4.53 | ( ~ (v4 = 10) & a(v1) = v4))
% 26.73/4.53 | (18) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 26.73/4.53 | int] : (v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | v2 = v0 | ~
% 26.73/4.53 | ($lesseq(v4, 2)) | ~ ($lesseq(1, $difference(v0, v1))) | ~ (b(v2)
% 26.73/4.53 | = 5) | ~ (b(v1) = v4) | ~ (a(v3) = 1) | ~ (a(v0) = 5) | ? [v5:
% 26.73/4.53 | int] : ( ~ (v5 = 10) & a(v1) = v5))
% 26.73/4.53 |
% 26.73/4.53 | GROUND_INST: instantiating (18) with z1, z2, z3, z4, all_3_0, simplifying with
% 26.73/4.53 | (10), (13), (14), (15) gives:
% 26.73/4.53 | (19) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~ ($lesseq(all_3_0,
% 26.73/4.53 | 2)) | ~ ($lesseq(1, $difference(z1, z2))) | ? [v0: int] : ( ~
% 26.73/4.53 | (v0 = 10) & a(z2) = v0)
% 26.73/4.53 |
% 26.73/4.53 | GROUND_INST: instantiating (17) with z3, z2, z4, all_3_0, simplifying with
% 26.73/4.53 | (12), (14), (16) gives:
% 26.73/4.53 | (20) z4 = z3 | z4 = z2 | ~ ($lesseq(all_3_0, 2)) | ~ ($lesseq(1,
% 26.73/4.53 | $difference(z3, z2))) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.73/4.53 |
% 26.73/4.53 | BETA: splitting (20) gives:
% 26.73/4.53 |
% 26.84/4.53 | Case 1:
% 26.84/4.53 | |
% 26.84/4.53 | | (21) $lesseq(z3, z2)
% 26.84/4.53 | |
% 26.84/4.53 | | STRENGTHEN: (4), (21) imply:
% 26.84/4.53 | | (22) $lesseq(1, $difference(z2, z3))
% 26.84/4.53 | |
% 26.84/4.53 | | BETA: splitting (19) gives:
% 26.84/4.53 | |
% 26.84/4.53 | | Case 1:
% 26.84/4.53 | | |
% 26.84/4.53 | | | (23) $lesseq(z1, z2)
% 26.84/4.53 | | |
% 26.84/4.53 | | | COMBINE_INEQS: (8), (23) imply:
% 26.84/4.53 | | | (24) $false
% 26.84/4.53 | | |
% 26.84/4.53 | | | CLOSE: (24) is inconsistent.
% 26.84/4.53 | | |
% 26.84/4.53 | | Case 2:
% 26.84/4.53 | | |
% 26.84/4.54 | | | (25) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ~
% 26.84/4.54 | | | ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | |
% 26.84/4.54 | | | BETA: splitting (25) gives:
% 26.84/4.54 | | |
% 26.84/4.54 | | | Case 1:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | (26) $lesseq(3, all_3_0)
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | COMBINE_INEQS: (9), (26) imply:
% 26.84/4.54 | | | | (27) $false
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | CLOSE: (27) is inconsistent.
% 26.84/4.54 | | | |
% 26.84/4.54 | | | Case 2:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | (28) z4 = z3 | z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] :
% 26.84/4.54 | | | | ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | BETA: splitting (28) gives:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | Case 1:
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | (29) z4 = z3
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | REDUCE: (7), (29) imply:
% 26.84/4.54 | | | | | (30) $false
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | CLOSE: (30) is inconsistent.
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | Case 2:
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | (31) z4 = z2 | z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0
% 26.84/4.54 | | | | | = 10) & a(z2) = v0)
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | BETA: splitting (31) gives:
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | Case 1:
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | (32) z4 = z2
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | REDUCE: (6), (32) imply:
% 26.84/4.54 | | | | | | (33) $false
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | CLOSE: (33) is inconsistent.
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | Case 2:
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | (34) z4 = z1 | z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) &
% 26.84/4.54 | | | | | | a(z2) = v0)
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | BETA: splitting (34) gives:
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | | Case 1:
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | (35) z4 = z1
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | REDUCE: (5), (35) imply:
% 26.84/4.54 | | | | | | | (36) $false
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | CLOSE: (36) is inconsistent.
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | Case 2:
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | (37) z3 = z2 | z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) =
% 26.84/4.54 | | | | | | | v0)
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | BETA: splitting (37) gives:
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | | Case 1:
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | (38) z3 = z2
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | REDUCE: (22), (38) imply:
% 26.84/4.54 | | | | | | | | (39) $false
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | CLOSE: (39) is inconsistent.
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | Case 2:
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | (40) z3 = z1 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | BETA: splitting (40) gives:
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | | Case 1:
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | (41) z3 = z1
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | REDUCE: (3), (41) imply:
% 26.84/4.54 | | | | | | | | | (42) $false
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | CLOSE: (42) is inconsistent.
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | Case 2:
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | (43) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | DELTA: instantiating (43) with fresh symbol all_81_0 gives:
% 26.84/4.54 | | | | | | | | | (44) ~ (all_81_0 = 10) & a(z2) = all_81_0
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | | REF_CLOSE: (1), (11), (44) are inconsistent by sub-proof #1.
% 26.84/4.54 | | | | | | | | |
% 26.84/4.54 | | | | | | | | End of split
% 26.84/4.54 | | | | | | | |
% 26.84/4.54 | | | | | | | End of split
% 26.84/4.54 | | | | | | |
% 26.84/4.54 | | | | | | End of split
% 26.84/4.54 | | | | | |
% 26.84/4.54 | | | | | End of split
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | End of split
% 26.84/4.54 | | | |
% 26.84/4.54 | | | End of split
% 26.84/4.54 | | |
% 26.84/4.54 | | End of split
% 26.84/4.54 | |
% 26.84/4.54 | Case 2:
% 26.84/4.54 | |
% 26.84/4.54 | | (45) z4 = z3 | z4 = z2 | ~ ($lesseq(all_3_0, 2)) | ? [v0: int] : ( ~
% 26.84/4.54 | | (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | |
% 26.84/4.54 | | BETA: splitting (45) gives:
% 26.84/4.54 | |
% 26.84/4.54 | | Case 1:
% 26.84/4.54 | | |
% 26.84/4.54 | | | (46) $lesseq(3, all_3_0)
% 26.84/4.54 | | |
% 26.84/4.54 | | | COMBINE_INEQS: (9), (46) imply:
% 26.84/4.54 | | | (47) $false
% 26.84/4.54 | | |
% 26.84/4.54 | | | CLOSE: (47) is inconsistent.
% 26.84/4.54 | | |
% 26.84/4.54 | | Case 2:
% 26.84/4.54 | | |
% 26.84/4.54 | | | (48) z4 = z3 | z4 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | |
% 26.84/4.54 | | | BETA: splitting (48) gives:
% 26.84/4.54 | | |
% 26.84/4.54 | | | Case 1:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | (49) z4 = z3
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | REDUCE: (7), (49) imply:
% 26.84/4.54 | | | | (50) $false
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | CLOSE: (50) is inconsistent.
% 26.84/4.54 | | | |
% 26.84/4.54 | | | Case 2:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | (51) z4 = z2 | ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | BETA: splitting (51) gives:
% 26.84/4.54 | | | |
% 26.84/4.54 | | | | Case 1:
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | (52) z4 = z2
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | REDUCE: (6), (52) imply:
% 26.84/4.54 | | | | | (53) $false
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | CLOSE: (53) is inconsistent.
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | Case 2:
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | (54) ? [v0: int] : ( ~ (v0 = 10) & a(z2) = v0)
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | DELTA: instantiating (54) with fresh symbol all_81_0 gives:
% 26.84/4.54 | | | | | (55) ~ (all_81_0 = 10) & a(z2) = all_81_0
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | | REF_CLOSE: (1), (11), (55) are inconsistent by sub-proof #1.
% 26.84/4.54 | | | | |
% 26.84/4.54 | | | | End of split
% 26.84/4.54 | | | |
% 26.84/4.54 | | | End of split
% 26.84/4.54 | | |
% 26.84/4.54 | | End of split
% 26.84/4.54 | |
% 26.84/4.54 | End of split
% 26.84/4.54 |
% 26.84/4.54 End of proof
% 26.84/4.54
% 26.84/4.54 Sub-proof #1 shows that the following formulas are inconsistent:
% 26.84/4.54 ----------------------------------------------------------------
% 26.84/4.54 (1) ~ (all_81_0 = 10) & a(z2) = all_81_0
% 26.84/4.54 (2) ! [v0: int] : ! [v1: int] : ! [v2: int] : (v1 = v0 | ~ (a(v2) = v1) |
% 26.84/4.54 ~ (a(v2) = v0))
% 26.84/4.54 (3) a(z2) = 10
% 26.84/4.54
% 26.84/4.54 Begin of proof
% 26.84/4.54 |
% 26.84/4.54 | ALPHA: (1) implies:
% 26.84/4.54 | (4) ~ (all_81_0 = 10)
% 26.84/4.54 | (5) a(z2) = all_81_0
% 26.84/4.54 |
% 26.84/4.55 | GROUND_INST: instantiating (2) with 10, all_81_0, z2, simplifying with (3),
% 26.84/4.55 | (5) gives:
% 26.84/4.55 | (6) all_81_0 = 10
% 26.84/4.55 |
% 26.84/4.55 | REDUCE: (4), (6) imply:
% 26.84/4.55 | (7) $false
% 26.84/4.55 |
% 26.84/4.55 | CLOSE: (7) is inconsistent.
% 26.84/4.55 |
% 26.84/4.55 End of proof
% 26.84/4.55 % SZS output end Proof for theBenchmark
% 26.84/4.55
% 26.84/4.55 3933ms
%------------------------------------------------------------------------------