TSTP Solution File: NUM484+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM484+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n013.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 11:48:05 EDT 2023
% Result : Theorem 5.36s 1.50s
% Output : Proof 11.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM484+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 08:24:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.75/1.25 Prover 1: Preprocessing ...
% 3.75/1.25 Prover 4: Preprocessing ...
% 4.03/1.29 Prover 5: Preprocessing ...
% 4.03/1.29 Prover 6: Preprocessing ...
% 4.03/1.29 Prover 0: Preprocessing ...
% 4.03/1.29 Prover 2: Preprocessing ...
% 4.03/1.29 Prover 3: Preprocessing ...
% 4.03/1.46 Prover 5: Constructing countermodel ...
% 4.03/1.46 Prover 6: Constructing countermodel ...
% 4.03/1.47 Prover 3: Constructing countermodel ...
% 4.03/1.47 Prover 2: Constructing countermodel ...
% 5.36/1.50 Prover 3: proved (858ms)
% 5.36/1.50
% 5.36/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.50
% 5.36/1.50 Prover 5: proved (850ms)
% 5.36/1.50
% 5.36/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.50
% 5.36/1.50 Prover 2: proved (857ms)
% 5.36/1.50
% 5.36/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.51
% 5.36/1.51 Prover 6: proved (853ms)
% 5.36/1.51
% 5.36/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.51
% 5.36/1.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.36/1.51 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.36/1.51 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.36/1.52 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.82/1.55 Prover 0: Constructing countermodel ...
% 5.82/1.55 Prover 0: stopped
% 5.86/1.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.51/1.68 Prover 11: Preprocessing ...
% 6.51/1.69 Prover 10: Preprocessing ...
% 6.51/1.70 Prover 7: Preprocessing ...
% 6.51/1.70 Prover 8: Preprocessing ...
% 6.51/1.73 Prover 13: Preprocessing ...
% 8.51/2.00 Prover 1: Constructing countermodel ...
% 8.51/2.01 Prover 1: Found proof (size 1)
% 8.51/2.01 Prover 1: proved (1369ms)
% 8.51/2.01 Prover 11: stopped
% 9.08/2.10 Prover 10: Constructing countermodel ...
% 9.08/2.10 Prover 10: stopped
% 9.08/2.12 Prover 8: Warning: ignoring some quantifiers
% 9.08/2.13 Prover 13: Constructing countermodel ...
% 9.08/2.13 Prover 13: stopped
% 9.08/2.13 Prover 8: Constructing countermodel ...
% 9.08/2.13 Prover 8: stopped
% 9.08/2.14 Prover 7: Constructing countermodel ...
% 9.08/2.14 Prover 7: stopped
% 10.76/2.29 Prover 4: Constructing countermodel ...
% 10.76/2.29 Prover 4: stopped
% 10.76/2.29
% 10.76/2.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.76/2.29
% 10.76/2.29 % SZS output start Proof for theBenchmark
% 10.76/2.30 Assumptions after simplification:
% 10.76/2.30 ---------------------------------
% 10.76/2.30
% 10.76/2.30 (m__1737)
% 11.01/2.30 $false
% 11.01/2.30
% 11.01/2.30 Further assumptions not needed in the proof:
% 11.01/2.30 --------------------------------------------
% 11.01/2.30 mAMDistr, mAddAsso, mAddCanc, mAddComm, mDefDiff, mDefDiv, mDefLE, mDefPrime,
% 11.01/2.30 mDefQuot, mDivAsso, mDivLE, mDivMin, mDivSum, mDivTrans, mIH, mIH_03, mLEAsym,
% 11.01/2.30 mLENTr, mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulAsso,
% 11.01/2.30 mMulCanc, mMulComm, mNatSort, mSortsB, mSortsB_02, mSortsC, mSortsC_01,
% 11.01/2.30 mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__, m__1700, m__1716,
% 11.01/2.30 m__1716_04, m__1725
% 11.01/2.30
% 11.01/2.30 Those formulas are unsatisfiable:
% 11.01/2.30 ---------------------------------
% 11.01/2.30
% 11.01/2.30 Begin of proof
% 11.01/2.31 |
% 11.01/2.31 | CLOSE: (m__1737) is inconsistent.
% 11.01/2.31 |
% 11.01/2.31 End of proof
% 11.01/2.31 % SZS output end Proof for theBenchmark
% 11.01/2.31
% 11.01/2.31 1683ms
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