TSTP Solution File: ARI654_1 by Princess---230619
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% File : Princess---230619
% Problem : ARI654_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n020.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 : Wed Aug 30 17:48:42 EDT 2023
% Result : Unsatisfiable 2.72s 1.22s
% Output : Proof 2.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI654_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n020.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 : Tue Aug 29 18:25:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.54/0.65 ________ _____
% 0.54/0.65 ___ __ \_________(_)________________________________
% 0.54/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.54/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.54/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.54/0.65
% 0.54/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.54/0.65 (2023-06-19)
% 0.54/0.65
% 0.54/0.65 (c) Philipp Rümmer, 2009-2023
% 0.54/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.54/0.65 Amanda Stjerna.
% 0.54/0.65 Free software under BSD-3-Clause.
% 0.54/0.65
% 0.54/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.54/0.65
% 0.54/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.54/0.67 Running up to 7 provers in parallel.
% 0.54/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.54/0.68 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.54/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.54/0.68 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.54/0.68 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.54/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.54/0.68 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.28/1.12 Prover 2: Preprocessing ...
% 2.28/1.12 Prover 3: Preprocessing ...
% 2.28/1.12 Prover 5: Preprocessing ...
% 2.28/1.12 Prover 4: Preprocessing ...
% 2.28/1.12 Prover 0: Preprocessing ...
% 2.28/1.12 Prover 6: Preprocessing ...
% 2.28/1.12 Prover 1: Preprocessing ...
% 2.28/1.15 Prover 2: Constructing countermodel ...
% 2.28/1.15 Prover 4: Constructing countermodel ...
% 2.28/1.15 Prover 3: Constructing countermodel ...
% 2.28/1.15 Prover 1: Constructing countermodel ...
% 2.28/1.15 Prover 6: Constructing countermodel ...
% 2.28/1.15 Prover 0: Constructing countermodel ...
% 2.28/1.16 Prover 5: Constructing countermodel ...
% 2.72/1.22 Prover 6: proved (539ms)
% 2.72/1.22 Prover 3: proved (542ms)
% 2.72/1.22
% 2.72/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.22
% 2.72/1.22
% 2.72/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.22
% 2.72/1.23 Prover 2: proved (543ms)
% 2.72/1.23 Prover 0: proved (543ms)
% 2.72/1.23
% 2.72/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.23
% 2.72/1.23
% 2.72/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.23
% 2.72/1.23 Prover 5: proved (539ms)
% 2.72/1.23
% 2.72/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.23
% 2.72/1.23 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.72/1.23 Prover 4: Found proof (size 6)
% 2.72/1.23 Prover 1: Found proof (size 6)
% 2.72/1.23 Prover 1: proved (550ms)
% 2.72/1.23 Prover 4: proved (548ms)
% 2.72/1.23 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.72/1.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.72/1.23 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.72/1.23 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.72/1.24 Prover 7: Preprocessing ...
% 2.72/1.24 Prover 8: Preprocessing ...
% 2.72/1.24 Prover 7: Constructing countermodel ...
% 2.72/1.25 Prover 13: Preprocessing ...
% 2.72/1.25 Prover 7: stopped
% 2.72/1.25 Prover 11: Preprocessing ...
% 2.72/1.25 Prover 8: Constructing countermodel ...
% 2.72/1.25 Prover 13: Constructing countermodel ...
% 2.72/1.25 Prover 8: stopped
% 2.72/1.25 Prover 11: Constructing countermodel ...
% 2.72/1.25 Prover 13: stopped
% 2.72/1.25 Prover 11: stopped
% 2.72/1.25 Prover 10: Preprocessing ...
% 2.72/1.26 Prover 10: Constructing countermodel ...
% 2.72/1.26 Prover 10: stopped
% 2.72/1.26
% 2.72/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.26
% 2.72/1.26 % SZS output start Proof for theBenchmark
% 2.72/1.26 Assumptions after simplification:
% 2.72/1.26 ---------------------------------
% 2.72/1.27
% 2.72/1.27 (conj)
% 2.72/1.27 $lesseq(-1, $difference(y, $product(5, x)))
% 2.72/1.27
% 2.72/1.27 (conj_001)
% 2.72/1.27 $lesseq(y, $product(5, x))
% 2.72/1.27
% 2.72/1.27 (conj_002)
% 2.72/1.27 $lesseq(1, $difference(y, $product(5, z)))
% 2.72/1.27
% 2.72/1.27 (conj_003)
% 2.72/1.27 $lesseq(-2, $difference($product(5, z), y))
% 2.72/1.27
% 2.72/1.27 Those formulas are unsatisfiable:
% 2.72/1.27 ---------------------------------
% 2.72/1.27
% 2.72/1.27 Begin of proof
% 2.72/1.27 |
% 2.72/1.27 | COMBINE_INEQS: (conj), (conj_003) imply:
% 2.72/1.27 | (1) $lesseq(x, z)
% 2.72/1.27 |
% 2.72/1.27 | SIMP: (1) implies:
% 2.72/1.27 | (2) $lesseq(x, z)
% 2.72/1.27 |
% 2.72/1.27 | COMBINE_INEQS: (conj_001), (conj_002) imply:
% 2.72/1.28 | (3) $lesseq(1, $difference(x, z))
% 2.72/1.28 |
% 2.72/1.28 | SIMP: (3) implies:
% 2.72/1.28 | (4) $lesseq(1, $difference(x, z))
% 2.72/1.28 |
% 2.72/1.28 | COMBINE_INEQS: (2), (4) imply:
% 2.72/1.28 | (5) $false
% 2.72/1.28 |
% 2.72/1.28 | CLOSE: (5) is inconsistent.
% 2.72/1.28 |
% 2.72/1.28 End of proof
% 2.72/1.28 % SZS output end Proof for theBenchmark
% 2.72/1.28
% 2.72/1.28 623ms
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