TSTP Solution File: NUM626+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM626+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 : n022.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 7.93s 1.86s
% Output : Proof 33.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM626+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 11:32:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.60/1.65 Prover 1: Preprocessing ...
% 6.60/1.66 Prover 4: Preprocessing ...
% 6.60/1.71 Prover 6: Preprocessing ...
% 6.60/1.71 Prover 0: Preprocessing ...
% 7.31/1.72 Prover 3: Preprocessing ...
% 7.31/1.72 Prover 2: Preprocessing ...
% 7.31/1.72 Prover 5: Preprocessing ...
% 7.93/1.82 Prover 6: Constructing countermodel ...
% 7.93/1.82 Prover 5: Constructing countermodel ...
% 7.93/1.83 Prover 3: Constructing countermodel ...
% 7.93/1.85 Prover 0: Constructing countermodel ...
% 7.93/1.85 Prover 0: proved (1206ms)
% 7.93/1.85 Prover 6: proved (1193ms)
% 7.93/1.85 Prover 5: proved (1197ms)
% 7.93/1.85 Prover 2: Constructing countermodel ...
% 7.93/1.85
% 7.93/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/1.86
% 7.93/1.86
% 7.93/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/1.86
% 7.93/1.86 Prover 3: proved (1200ms)
% 7.93/1.87
% 7.93/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/1.87
% 7.93/1.87 Prover 2: proved (1206ms)
% 7.93/1.87
% 7.93/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/1.87
% 7.93/1.87
% 7.93/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/1.87
% 7.93/1.87 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.93/1.87 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.93/1.87 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 7.93/1.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.93/1.88 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.19/2.38 Prover 13: Preprocessing ...
% 12.19/2.39 Prover 11: Preprocessing ...
% 12.39/2.42 Prover 10: Preprocessing ...
% 12.64/2.43 Prover 7: Preprocessing ...
% 12.64/2.45 Prover 8: Preprocessing ...
% 21.25/3.67 Prover 1: Constructing countermodel ...
% 21.25/3.67 Prover 1: Found proof (size 1)
% 21.25/3.67 Prover 1: proved (3027ms)
% 21.25/3.68 Prover 11: stopped
% 21.25/3.70 Prover 8: Warning: ignoring some quantifiers
% 21.25/3.71 Prover 8: Constructing countermodel ...
% 21.25/3.71 Prover 8: stopped
% 23.77/3.97 Prover 10: Constructing countermodel ...
% 23.77/3.97 Prover 10: stopped
% 25.18/4.16 Prover 7: Constructing countermodel ...
% 25.18/4.17 Prover 7: stopped
% 25.18/4.18 Prover 13: Warning: ignoring some quantifiers
% 25.18/4.24 Prover 13: Constructing countermodel ...
% 25.18/4.24 Prover 13: stopped
% 32.81/6.01 Prover 4: Constructing countermodel ...
% 32.81/6.01 Prover 4: stopped
% 32.81/6.01
% 32.81/6.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.81/6.01
% 32.81/6.02 % SZS output start Proof for theBenchmark
% 32.81/6.03 Assumptions after simplification:
% 32.81/6.03 ---------------------------------
% 32.81/6.03
% 32.81/6.03 (m__5538)
% 32.81/6.03 $false
% 32.81/6.03
% 32.81/6.03 Further assumptions not needed in the proof:
% 32.81/6.03 --------------------------------------------
% 32.81/6.03 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS,
% 33.00/6.04 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mCountNFin_01,
% 33.00/6.04 mDefCons, mDefDiff, mDefEmp, mDefMax, mDefMin, mDefPtt, mDefRst, mDefSImg,
% 33.00/6.04 mDefSeg, mDefSel, mDefSub, mDiffCons, mDirichlet, mDomSet, mEOfElem, mElmSort,
% 33.00/6.04 mEmpFin, mFConsSet, mFDiffSet, mFinRel, mFinSubSeg, mFunSort, mIH, mIHSort,
% 33.00/6.04 mImgCount, mImgElm, mImgRng, mLessASymm, mLessRefl, mLessRel, mLessSucc,
% 33.00/6.04 mLessTotal, mLessTrans, mMinMin, mNATSet, mNatExtra, mNatNSucc, mNoScLessZr,
% 33.00/6.04 mPttSet, mSegFin, mSegLess, mSegSucc, mSegZero, mSelCSet, mSelExtra, mSelFSet,
% 33.00/6.04 mSelNSet, mSelSub, mSetSort, mSubASymm, mSubFSet, mSubRefl, mSubTrans,
% 33.00/6.04 mSuccEquSucc, mSuccLess, mSuccNum, mZeroLess, mZeroNum, m__, m__3291, m__3398,
% 33.00/6.04 m__3418, m__3435, m__3453, m__3462, m__3520, m__3533, m__3623, m__3671, m__3754,
% 33.00/6.04 m__3821, m__3965, m__4151, m__4182, m__4331, m__4411, m__4618, m__4660, m__4730,
% 33.00/6.04 m__4758, m__4854, m__4891, m__4908, m__4982, m__4998, m__5078, m__5093, m__5106,
% 33.00/6.04 m__5116, m__5147, m__5164, m__5173, m__5182, m__5195, m__5208, m__5217, m__5270,
% 33.00/6.04 m__5309, m__5321, m__5348, m__5365, m__5389, m__5401, m__5442, m__5461, m__5481,
% 33.00/6.04 m__5496
% 33.00/6.04
% 33.00/6.04 Those formulas are unsatisfiable:
% 33.00/6.04 ---------------------------------
% 33.00/6.04
% 33.00/6.04 Begin of proof
% 33.00/6.04 |
% 33.00/6.04 | CLOSE: (m__5538) is inconsistent.
% 33.00/6.04 |
% 33.00/6.04 End of proof
% 33.00/6.04 % SZS output end Proof for theBenchmark
% 33.00/6.04
% 33.00/6.04 5412ms
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