TSTP Solution File: NUM587+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM587+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 : n023.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 11:48:47 EDT 2023
% Result : Theorem 20.61s 3.44s
% Output : Proof 28.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM587+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 15:02:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.58/0.60 ________ _____
% 0.58/0.60 ___ __ \_________(_)________________________________
% 0.58/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.58/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.58/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.58/0.60
% 0.58/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.58/0.60 (2023-06-19)
% 0.58/0.60
% 0.58/0.60 (c) Philipp Rümmer, 2009-2023
% 0.58/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.58/0.60 Amanda Stjerna.
% 0.58/0.60 Free software under BSD-3-Clause.
% 0.58/0.60
% 0.58/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.58/0.60
% 0.58/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.58/0.61 Running up to 7 provers in parallel.
% 0.58/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.58/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.58/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.58/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.58/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.58/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.58/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 4.54/1.35 Prover 4: Preprocessing ...
% 4.54/1.35 Prover 1: Preprocessing ...
% 4.93/1.39 Prover 3: Preprocessing ...
% 4.93/1.39 Prover 6: Preprocessing ...
% 4.93/1.39 Prover 2: Preprocessing ...
% 4.93/1.39 Prover 5: Preprocessing ...
% 4.93/1.40 Prover 0: Preprocessing ...
% 13.03/2.46 Prover 1: Constructing countermodel ...
% 13.69/2.52 Prover 3: Constructing countermodel ...
% 13.69/2.55 Prover 6: Proving ...
% 13.69/2.58 Prover 5: Proving ...
% 15.34/2.80 Prover 2: Proving ...
% 18.79/3.25 Prover 4: Constructing countermodel ...
% 20.04/3.40 Prover 0: Proving ...
% 20.61/3.44 Prover 3: proved (2815ms)
% 20.61/3.44
% 20.61/3.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.61/3.44
% 20.61/3.44 Prover 5: stopped
% 20.61/3.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 20.61/3.45 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 20.61/3.45 Prover 2: stopped
% 20.61/3.45 Prover 0: stopped
% 20.61/3.46 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 20.61/3.46 Prover 6: stopped
% 20.61/3.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 20.61/3.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 21.73/3.60 Prover 7: Preprocessing ...
% 22.33/3.65 Prover 10: Preprocessing ...
% 22.33/3.69 Prover 13: Preprocessing ...
% 22.33/3.69 Prover 11: Preprocessing ...
% 22.33/3.69 Prover 8: Preprocessing ...
% 24.09/3.88 Prover 10: Constructing countermodel ...
% 24.09/3.92 Prover 7: Constructing countermodel ...
% 24.64/4.01 Prover 8: Warning: ignoring some quantifiers
% 25.17/4.02 Prover 8: Constructing countermodel ...
% 25.17/4.05 Prover 13: Warning: ignoring some quantifiers
% 25.55/4.07 Prover 13: Constructing countermodel ...
% 26.14/4.16 Prover 10: Found proof (size 18)
% 26.14/4.16 Prover 10: proved (712ms)
% 26.14/4.16 Prover 13: stopped
% 26.14/4.16 Prover 7: stopped
% 26.14/4.16 Prover 8: stopped
% 26.14/4.16 Prover 1: stopped
% 26.14/4.18 Prover 4: stopped
% 27.45/4.48 Prover 11: Constructing countermodel ...
% 27.60/4.50 Prover 11: stopped
% 27.60/4.50
% 27.60/4.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.60/4.50
% 27.60/4.51 % SZS output start Proof for theBenchmark
% 27.60/4.52 Assumptions after simplification:
% 27.60/4.52 ---------------------------------
% 27.60/4.52
% 27.60/4.52 (mDefSub)
% 27.77/4.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 27.77/4.53 ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) |
% 27.77/4.53 aElementOf0(v2, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) |
% 27.77/4.53 ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1)) & ! [v0: $i] : ! [v1: $i]
% 27.77/4.53 : ( ~ $i(v1) | ~ $i(v0) | ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) |
% 27.77/4.53 ? [v2: $i] : ($i(v2) & aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)))
% 27.77/4.53
% 27.77/4.53 (m__)
% 27.77/4.53 $i(xx) & $i(xT) & ~ aElementOf0(xx, xT)
% 27.77/4.53
% 27.77/4.53 (m__3291)
% 27.77/4.53 $i(xT) & isFinite0(xT) & aSet0(xT)
% 27.77/4.53
% 27.77/4.53 (m__3453)
% 27.82/4.57 $i(xc) & $i(xS) & $i(xK) & $i(xT) & ? [v0: $i] : ? [v1: $i] :
% 27.82/4.57 (sdtlcdtrc0(xc, v0) = v1 & szDzozmdt0(xc) = v0 & slbdtsldtrb0(xS, xK) = v0 &
% 27.82/4.57 $i(v1) & $i(v0) & aFunction0(xc) & aSubsetOf0(v1, xT))
% 27.82/4.57
% 27.82/4.57 (m__4263)
% 27.82/4.57 $i(xQ) & $i(xx) & $i(xi) & $i(xN) & $i(xc) & ? [v0: $i] : ? [v1: $i] : ?
% 27.82/4.57 [v2: $i] : ? [v3: $i] : ? [v4: $i] : (sdtlcdtrc0(xc, v3) = v4 &
% 27.82/4.57 sdtlpdtrp0(xN, xi) = v0 & sdtlpdtrp0(xc, v2) = xx & szDzozmdt0(xc) = v3 &
% 27.82/4.57 szmzizndt0(v0) = v1 & sdtpldt0(xQ, v1) = v2 & $i(v4) & $i(v3) & $i(v2) &
% 27.82/4.57 $i(v1) & $i(v0) & aElementOf0(xx, v4))
% 27.82/4.57
% 27.82/4.57 (function-axioms)
% 27.82/4.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 27.82/4.58 (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 27.82/4.58 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1)
% 27.82/4.58 | ~ (sdtlcdtrc0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 27.82/4.58 ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2)
% 27.82/4.58 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 27.82/4.58 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0)) & ! [v0: $i]
% 27.82/4.58 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (slbdtsldtrb0(v3,
% 27.82/4.58 v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 27.82/4.58 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~
% 27.82/4.58 (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 27.82/4.58 $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) &
% 27.82/4.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) |
% 27.82/4.58 ~ (szDzizrdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 27.82/4.58 v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) & ! [v0: $i] : !
% 27.82/4.58 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2)
% 27.82/4.58 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.82/4.58 (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0)) & ! [v0: $i] : ! [v1:
% 27.82/4.58 $i] : ! [v2: $i] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2)
% 27.82/4.59 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 27.82/4.59 (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 27.82/4.59 ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) =
% 27.82/4.59 v0))
% 27.82/4.59
% 27.82/4.59 Further assumptions not needed in the proof:
% 27.82/4.59 --------------------------------------------
% 27.82/4.59 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS,
% 27.82/4.59 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mCountNFin_01,
% 27.82/4.59 mDefCons, mDefDiff, mDefEmp, mDefMax, mDefMin, mDefPtt, mDefRst, mDefSImg,
% 27.82/4.59 mDefSeg, mDefSel, mDiffCons, mDirichlet, mDomSet, mEOfElem, mElmSort, mEmpFin,
% 27.82/4.59 mFConsSet, mFDiffSet, mFinRel, mFinSubSeg, mFunSort, mIH, mIHSort, mImgCount,
% 27.82/4.59 mImgElm, mImgRng, mLessASymm, mLessRefl, mLessRel, mLessSucc, mLessTotal,
% 27.82/4.59 mLessTrans, mMinMin, mNATSet, mNatExtra, mNatNSucc, mNoScLessZr, mPttSet,
% 27.82/4.59 mSegFin, mSegLess, mSegSucc, mSegZero, mSelCSet, mSelExtra, mSelFSet, mSelNSet,
% 27.82/4.59 mSelSub, mSetSort, mSubASymm, mSubFSet, mSubRefl, mSubTrans, mSuccEquSucc,
% 27.82/4.59 mSuccLess, mSuccNum, mZeroLess, mZeroNum, m__3398, m__3418, m__3435, m__3462,
% 27.82/4.59 m__3520, m__3533, m__3623, m__3671, m__3754, m__3821, m__3965, m__4151, m__4200,
% 27.82/4.59 m__4200_02, m__4237
% 27.82/4.59
% 27.82/4.59 Those formulas are unsatisfiable:
% 27.82/4.59 ---------------------------------
% 27.82/4.59
% 27.82/4.59 Begin of proof
% 27.82/4.59 |
% 27.82/4.59 | ALPHA: (mDefSub) implies:
% 27.82/4.59 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 27.82/4.59 | $i(v0) | ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~
% 27.82/4.59 | aSet0(v0) | aElementOf0(v2, v0))
% 27.82/4.59 |
% 27.82/4.59 | ALPHA: (m__3291) implies:
% 27.82/4.59 | (2) aSet0(xT)
% 27.82/4.59 |
% 27.82/4.59 | ALPHA: (m__3453) implies:
% 27.82/4.59 | (3) ? [v0: $i] : ? [v1: $i] : (sdtlcdtrc0(xc, v0) = v1 & szDzozmdt0(xc) =
% 27.82/4.59 | v0 & slbdtsldtrb0(xS, xK) = v0 & $i(v1) & $i(v0) & aFunction0(xc) &
% 27.82/4.59 | aSubsetOf0(v1, xT))
% 27.82/4.59 |
% 27.82/4.59 | ALPHA: (m__4263) implies:
% 27.82/4.59 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 27.82/4.59 | (sdtlcdtrc0(xc, v3) = v4 & sdtlpdtrp0(xN, xi) = v0 & sdtlpdtrp0(xc, v2)
% 27.82/4.60 | = xx & szDzozmdt0(xc) = v3 & szmzizndt0(v0) = v1 & sdtpldt0(xQ, v1) =
% 27.82/4.60 | v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & aElementOf0(xx,
% 27.82/4.60 | v4))
% 27.82/4.60 |
% 27.82/4.60 | ALPHA: (m__) implies:
% 27.82/4.60 | (5) ~ aElementOf0(xx, xT)
% 27.82/4.60 | (6) $i(xT)
% 27.82/4.60 | (7) $i(xx)
% 27.82/4.60 |
% 27.82/4.60 | ALPHA: (function-axioms) implies:
% 27.82/4.60 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szDzozmdt0(v2)
% 27.82/4.60 | = v1) | ~ (szDzozmdt0(v2) = v0))
% 27.82/4.60 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 27.82/4.60 | (sdtlcdtrc0(v3, v2) = v1) | ~ (sdtlcdtrc0(v3, v2) = v0))
% 27.82/4.60 |
% 27.82/4.60 | DELTA: instantiating (3) with fresh symbols all_70_0, all_70_1 gives:
% 27.82/4.60 | (10) sdtlcdtrc0(xc, all_70_1) = all_70_0 & szDzozmdt0(xc) = all_70_1 &
% 27.82/4.60 | slbdtsldtrb0(xS, xK) = all_70_1 & $i(all_70_0) & $i(all_70_1) &
% 27.82/4.60 | aFunction0(xc) & aSubsetOf0(all_70_0, xT)
% 27.82/4.60 |
% 27.82/4.60 | ALPHA: (10) implies:
% 27.82/4.60 | (11) aSubsetOf0(all_70_0, xT)
% 27.82/4.60 | (12) szDzozmdt0(xc) = all_70_1
% 27.82/4.60 | (13) sdtlcdtrc0(xc, all_70_1) = all_70_0
% 27.82/4.60 |
% 27.82/4.60 | DELTA: instantiating (4) with fresh symbols all_74_0, all_74_1, all_74_2,
% 27.82/4.60 | all_74_3, all_74_4 gives:
% 27.82/4.60 | (14) sdtlcdtrc0(xc, all_74_1) = all_74_0 & sdtlpdtrp0(xN, xi) = all_74_4 &
% 27.82/4.60 | sdtlpdtrp0(xc, all_74_2) = xx & szDzozmdt0(xc) = all_74_1 &
% 27.82/4.60 | szmzizndt0(all_74_4) = all_74_3 & sdtpldt0(xQ, all_74_3) = all_74_2 &
% 27.82/4.60 | $i(all_74_0) & $i(all_74_1) & $i(all_74_2) & $i(all_74_3) &
% 27.82/4.60 | $i(all_74_4) & aElementOf0(xx, all_74_0)
% 27.82/4.60 |
% 27.82/4.60 | ALPHA: (14) implies:
% 27.82/4.60 | (15) aElementOf0(xx, all_74_0)
% 27.82/4.60 | (16) $i(all_74_0)
% 27.82/4.60 | (17) szDzozmdt0(xc) = all_74_1
% 27.82/4.60 | (18) sdtlcdtrc0(xc, all_74_1) = all_74_0
% 27.82/4.60 |
% 27.82/4.60 | GROUND_INST: instantiating (8) with all_70_1, all_74_1, xc, simplifying with
% 27.82/4.60 | (12), (17) gives:
% 27.82/4.60 | (19) all_74_1 = all_70_1
% 27.82/4.60 |
% 27.82/4.60 | REDUCE: (18), (19) imply:
% 27.82/4.60 | (20) sdtlcdtrc0(xc, all_70_1) = all_74_0
% 27.82/4.60 |
% 27.82/4.61 | GROUND_INST: instantiating (9) with all_70_0, all_74_0, all_70_1, xc,
% 27.82/4.61 | simplifying with (13), (20) gives:
% 27.82/4.61 | (21) all_74_0 = all_70_0
% 27.82/4.61 |
% 27.82/4.61 | REDUCE: (16), (21) imply:
% 27.82/4.61 | (22) $i(all_70_0)
% 27.82/4.61 |
% 27.82/4.61 | REDUCE: (15), (21) imply:
% 27.82/4.61 | (23) aElementOf0(xx, all_70_0)
% 27.82/4.61 |
% 28.14/4.61 | GROUND_INST: instantiating (1) with xT, all_70_0, xx, simplifying with (2),
% 28.14/4.61 | (5), (6), (7), (11), (22), (23) gives:
% 28.14/4.61 | (24) $false
% 28.14/4.61 |
% 28.14/4.61 | CLOSE: (24) is inconsistent.
% 28.14/4.61 |
% 28.14/4.61 End of proof
% 28.14/4.61 % SZS output end Proof for theBenchmark
% 28.14/4.61
% 28.14/4.61 4008ms
%------------------------------------------------------------------------------