TSTP Solution File: NUM626+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM626+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n028.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 11:49:04 EDT 2023
% Result : Theorem 6.30s 1.57s
% Output : Proof 19.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM626+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n028.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 17:10:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.94/1.43 Prover 4: Preprocessing ...
% 4.94/1.43 Prover 3: Preprocessing ...
% 4.94/1.43 Prover 5: Preprocessing ...
% 4.94/1.43 Prover 0: Preprocessing ...
% 4.94/1.43 Prover 6: Preprocessing ...
% 4.94/1.43 Prover 2: Preprocessing ...
% 4.94/1.43 Prover 1: Preprocessing ...
% 5.55/1.54 Prover 5: Constructing countermodel ...
% 5.55/1.54 Prover 2: Constructing countermodel ...
% 6.19/1.54 Prover 0: Constructing countermodel ...
% 6.19/1.55 Prover 3: Constructing countermodel ...
% 6.19/1.55 Prover 6: Constructing countermodel ...
% 6.30/1.57 Prover 0: proved (942ms)
% 6.30/1.57 Prover 3: proved (939ms)
% 6.30/1.57 Prover 6: proved (929ms)
% 6.30/1.57 Prover 5: proved (933ms)
% 6.30/1.57
% 6.30/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.30/1.57
% 6.30/1.57
% 6.30/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.30/1.57
% 6.30/1.57 Prover 2: proved (942ms)
% 6.30/1.57
% 6.30/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.30/1.57
% 6.30/1.58
% 6.30/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.30/1.58
% 6.30/1.60
% 6.30/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.30/1.60
% 6.30/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.30/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.30/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.30/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.30/1.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.03/1.82 Prover 7: Preprocessing ...
% 8.98/1.94 Prover 13: Preprocessing ...
% 8.98/1.95 Prover 11: Preprocessing ...
% 9.31/1.96 Prover 8: Preprocessing ...
% 9.31/1.99 Prover 10: Preprocessing ...
% 14.63/2.77 Prover 10: Constructing countermodel ...
% 14.63/2.78 Prover 10: Found proof (size 1)
% 14.63/2.78 Prover 10: proved (1182ms)
% 14.63/2.82 Prover 7: Constructing countermodel ...
% 14.63/2.82 Prover 7: stopped
% 16.20/2.92 Prover 1: Constructing countermodel ...
% 16.20/2.92 Prover 1: stopped
% 16.20/2.94 Prover 13: Warning: ignoring some quantifiers
% 16.20/2.94 Prover 8: Warning: ignoring some quantifiers
% 16.20/2.96 Prover 8: Constructing countermodel ...
% 16.20/2.96 Prover 8: stopped
% 16.20/2.97 Prover 13: Constructing countermodel ...
% 16.20/2.97 Prover 13: stopped
% 18.72/3.34 Prover 4: Constructing countermodel ...
% 18.72/3.34 Prover 4: stopped
% 18.72/3.41 Prover 11: Constructing countermodel ...
% 18.72/3.41 Prover 11: stopped
% 18.72/3.41
% 18.72/3.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.72/3.41
% 18.72/3.41 % SZS output start Proof for theBenchmark
% 18.72/3.42 Assumptions after simplification:
% 18.72/3.42 ---------------------------------
% 18.72/3.42
% 18.72/3.42 (m__5538)
% 18.72/3.42 $false
% 18.72/3.42
% 18.72/3.42 Further assumptions not needed in the proof:
% 18.72/3.42 --------------------------------------------
% 18.72/3.42 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS,
% 18.72/3.42 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mCountNFin_01,
% 18.72/3.42 mDefCons, mDefDiff, mDefEmp, mDefMax, mDefMin, mDefPtt, mDefRst, mDefSImg,
% 18.72/3.42 mDefSeg, mDefSel, mDefSub, mDiffCons, mDirichlet, mDomSet, mEOfElem, mElmSort,
% 19.07/3.42 mEmpFin, mFConsSet, mFDiffSet, mFinRel, mFinSubSeg, mFunSort, mIH, mIHSort,
% 19.07/3.42 mImgCount, mImgElm, mImgRng, mLessASymm, mLessRefl, mLessRel, mLessSucc,
% 19.07/3.42 mLessTotal, mLessTrans, mMinMin, mNATSet, mNatExtra, mNatNSucc, mNoScLessZr,
% 19.07/3.42 mPttSet, mSegFin, mSegLess, mSegSucc, mSegZero, mSelCSet, mSelExtra, mSelFSet,
% 19.07/3.42 mSelNSet, mSelSub, mSetSort, mSubASymm, mSubFSet, mSubRefl, mSubTrans,
% 19.07/3.42 mSuccEquSucc, mSuccLess, mSuccNum, mZeroLess, mZeroNum, m__, m__3291, m__3398,
% 19.07/3.42 m__3418, m__3435, m__3453, m__3462, m__3520, m__3533, m__3623, m__3671, m__3754,
% 19.07/3.42 m__3821, m__3965, m__4151, m__4182, m__4331, m__4411, m__4618, m__4660, m__4730,
% 19.07/3.42 m__4758, m__4854, m__4891, m__4908, m__4982, m__4998, m__5078, m__5093, m__5106,
% 19.07/3.42 m__5116, m__5147, m__5164, m__5173, m__5182, m__5195, m__5208, m__5217, m__5270,
% 19.07/3.42 m__5309, m__5321, m__5348, m__5365, m__5389, m__5401, m__5442, m__5461, m__5481,
% 19.07/3.42 m__5496
% 19.07/3.42
% 19.07/3.42 Those formulas are unsatisfiable:
% 19.07/3.42 ---------------------------------
% 19.07/3.42
% 19.07/3.42 Begin of proof
% 19.07/3.42 |
% 19.07/3.43 | CLOSE: (m__5538) is inconsistent.
% 19.07/3.43 |
% 19.07/3.43 End of proof
% 19.07/3.43 % SZS output end Proof for theBenchmark
% 19.07/3.43
% 19.07/3.43 2820ms
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