TSTP Solution File: NUM530+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM530+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 : n007.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 11:48:25 EDT 2023
% Result : Theorem 4.28s 1.37s
% Output : Proof 11.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM530+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 07:45:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.52/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.31/1.26 Prover 4: Preprocessing ...
% 3.31/1.26 Prover 1: Preprocessing ...
% 3.69/1.30 Prover 2: Preprocessing ...
% 3.69/1.30 Prover 3: Preprocessing ...
% 3.69/1.30 Prover 0: Preprocessing ...
% 3.69/1.30 Prover 5: Preprocessing ...
% 3.69/1.30 Prover 6: Preprocessing ...
% 4.28/1.34 Prover 3: Constructing countermodel ...
% 4.28/1.34 Prover 2: Constructing countermodel ...
% 4.28/1.34 Prover 6: Constructing countermodel ...
% 4.28/1.34 Prover 5: Constructing countermodel ...
% 4.28/1.34 Prover 0: Constructing countermodel ...
% 4.28/1.37 Prover 5: proved (736ms)
% 4.28/1.37 Prover 6: proved (738ms)
% 4.28/1.37
% 4.28/1.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/1.37
% 4.28/1.38
% 4.28/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/1.38
% 4.28/1.39 Prover 0: proved (743ms)
% 4.28/1.39
% 4.28/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/1.39
% 4.28/1.39 Prover 3: proved (742ms)
% 4.28/1.39
% 4.28/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/1.39
% 4.28/1.39 Prover 2: proved (744ms)
% 4.28/1.39
% 4.28/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.28/1.39
% 4.28/1.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.28/1.40 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.28/1.40 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.28/1.40 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.28/1.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.58/1.57 Prover 7: Preprocessing ...
% 6.41/1.61 Prover 13: Preprocessing ...
% 6.41/1.61 Prover 10: Preprocessing ...
% 6.50/1.61 Prover 8: Preprocessing ...
% 6.50/1.62 Prover 11: Preprocessing ...
% 9.50/2.04 Prover 1: Constructing countermodel ...
% 9.50/2.05 Prover 1: Found proof (size 1)
% 9.50/2.05 Prover 1: proved (1424ms)
% 9.50/2.05 Prover 11: stopped
% 9.50/2.06 Prover 10: Constructing countermodel ...
% 9.50/2.06 Prover 10: stopped
% 9.50/2.09 Prover 8: Warning: ignoring some quantifiers
% 9.50/2.10 Prover 8: Constructing countermodel ...
% 9.50/2.10 Prover 8: stopped
% 10.16/2.12 Prover 13: Constructing countermodel ...
% 10.16/2.12 Prover 13: stopped
% 10.16/2.13 Prover 7: Constructing countermodel ...
% 10.16/2.13 Prover 7: stopped
% 11.13/2.37 Prover 4: Constructing countermodel ...
% 11.13/2.37 Prover 4: stopped
% 11.13/2.37
% 11.13/2.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.13/2.37
% 11.13/2.37 % SZS output start Proof for theBenchmark
% 11.13/2.38 Assumptions after simplification:
% 11.13/2.38 ---------------------------------
% 11.13/2.38
% 11.13/2.38 (m__3161)
% 11.13/2.39 $false
% 11.13/2.39
% 11.13/2.39 Further assumptions not needed in the proof:
% 11.13/2.39 --------------------------------------------
% 11.13/2.39 mAMDistr, mAddAsso, mAddCanc, mAddComm, mDefDiff, mDefDiv, mDefLE, mDefPrime,
% 11.13/2.39 mDefQuot, mDivAsso, mDivLE, mDivMin, mDivSum, mDivTrans, mIH, mIH_03, mLEAsym,
% 11.13/2.39 mLENTr, mLERefl, mLETotal, mLETran, mMonAdd, mMonMul, mMonMul2, mMulAsso,
% 11.13/2.39 mMulCanc, mMulComm, mNatSort, mPDP, mPrimDiv, mSortsB, mSortsB_02, mSortsC,
% 11.13/2.39 mSortsC_01, mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero, m__, m__2963,
% 11.13/2.39 m__2987, m__3014, m__3025, m__3046, m__3059, m__3082, m__3124
% 11.13/2.39
% 11.13/2.39 Those formulas are unsatisfiable:
% 11.13/2.39 ---------------------------------
% 11.13/2.39
% 11.13/2.39 Begin of proof
% 11.13/2.39 |
% 11.13/2.39 | CLOSE: (m__3161) is inconsistent.
% 11.13/2.39 |
% 11.13/2.39 End of proof
% 11.13/2.39 % SZS output end Proof for theBenchmark
% 11.13/2.39
% 11.13/2.39 1781ms
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