%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM545+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 : n005.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 11:48:31 EDT 2023 % Result : Theorem 97.94s 13.47s % Output : Proof 99.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM545+1 : 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 : n005.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 14:09:53 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.44/1.19 Prover 1: Preprocessing ... % 3.44/1.19 Prover 4: Preprocessing ... % 3.44/1.23 Prover 2: Preprocessing ... % 3.44/1.23 Prover 0: Preprocessing ... % 3.44/1.23 Prover 5: Preprocessing ... % 3.44/1.23 Prover 3: Preprocessing ... % 3.44/1.23 Prover 6: Preprocessing ... % 8.76/2.04 Prover 1: Constructing countermodel ... % 8.76/2.07 Prover 5: Constructing countermodel ... % 9.83/2.09 Prover 3: Constructing countermodel ... % 9.83/2.09 Prover 6: Proving ... % 10.24/2.09 Prover 2: Proving ... % 11.73/2.35 Prover 4: Constructing countermodel ... % 13.41/2.64 Prover 0: Proving ... % 73.49/10.30 Prover 2: stopped % 73.49/10.31 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.29/10.40 Prover 7: Preprocessing ... % 75.81/10.57 Prover 7: Constructing countermodel ... % 97.94/13.47 Prover 0: proved (12752ms) % 97.94/13.47 % 97.94/13.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 97.94/13.47 % 97.94/13.47 Prover 5: stopped % 97.94/13.47 Prover 3: stopped % 97.94/13.48 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 97.94/13.48 Prover 6: stopped % 97.94/13.48 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 97.94/13.48 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 97.94/13.48 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 98.47/13.50 Prover 7: Found proof (size 82) % 98.47/13.50 Prover 7: proved (3193ms) % 98.47/13.50 Prover 4: stopped % 98.47/13.50 Prover 1: stopped % 99.08/13.57 Prover 11: Preprocessing ... % 99.08/13.58 Prover 13: Preprocessing ... % 99.08/13.58 Prover 8: Preprocessing ... % 99.08/13.58 Prover 10: Preprocessing ... % 99.08/13.60 Prover 10: stopped % 99.33/13.62 Prover 13: stopped % 99.50/13.64 Prover 11: stopped % 99.50/13.66 Prover 8: Warning: ignoring some quantifiers % 99.50/13.67 Prover 8: Constructing countermodel ... % 99.50/13.67 Prover 8: stopped % 99.50/13.67 % 99.50/13.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 99.50/13.67 % 99.50/13.68 % SZS output start Proof for theBenchmark % 99.50/13.68 Assumptions after simplification: % 99.50/13.68 --------------------------------- % 99.50/13.68 % 99.50/13.68 (mCountNFin_01) % 99.50/13.69 $i(slcrc0) & ( ~ isCountable0(slcrc0) | ~ aSet0(slcrc0)) % 99.50/13.69 % 99.50/13.69 (mDefEmp) % 99.50/13.69 $i(slcrc0) & aSet0(slcrc0) & ! [v0: $i] : (v0 = slcrc0 | ~ $i(v0) | ~ % 99.50/13.69 aSet0(v0) | ? [v1: $i] : ($i(v1) & aElementOf0(v1, v0))) & ! [v0: $i] : ( % 99.50/13.69 ~ $i(v0) | ~ aElementOf0(v0, slcrc0)) % 99.50/13.69 % 99.50/13.69 (mDefMax) % 99.50/13.71 $i(szNzAzT0) & $i(slcrc0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 % 99.50/13.71 | v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~ % 99.50/13.71 aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | ? % 99.50/13.71 [v3: $i] : ($i(v3) & aElementOf0(v3, v0) & ~ sdtlseqdt0(v3, v2))) & ! [v0: % 99.50/13.71 $i] : ! [v1: $i] : ! [v2: $i] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | % 99.50/13.71 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v0, szNzAzT0) | ~ % 99.50/13.71 isFinite0(v0) | ~ aElementOf0(v2, v0) | sdtlseqdt0(v2, v1)) & ! [v0: $i] : % 99.50/13.71 ! [v1: $i] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ $i(v1) | ~ $i(v0) % 99.50/13.71 | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | aElementOf0(v1, v0)) % 99.50/13.71 % 99.50/13.71 (mDefSub) % 99.50/13.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 99.50/13.72 ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) | % 99.50/13.72 aElementOf0(v2, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | % 99.50/13.72 ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1)) & ! [v0: $i] : ! [v1: $i] % 99.50/13.72 : ( ~ $i(v1) | ~ $i(v0) | ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) | % 99.50/13.72 ? [v2: $i] : ($i(v2) & aElementOf0(v2, v1) & ~ aElementOf0(v2, v0))) % 99.50/13.72 % 99.50/13.72 (mNATSet) % 99.50/13.72 $i(szNzAzT0) & isCountable0(szNzAzT0) & aSet0(szNzAzT0) % 99.50/13.72 % 99.50/13.72 (mSegSucc) % 99.97/13.72 $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 99.97/13.72 (slbdtrb0(v2) = v3) | ~ (szszuzczcdt0(v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 99.97/13.72 ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v4: $i] : % 99.97/13.72 ((v1 = v0 | ~ aElementOf0(v0, v3) | (slbdtrb0(v1) = v4 & $i(v4) & % 99.97/13.72 aElementOf0(v0, v4))) & (aElementOf0(v0, v3) | ( ~ (v1 = v0) & % 99.97/13.72 slbdtrb0(v1) = v4 & $i(v4) & ~ aElementOf0(v0, v4))))) & ! [v0: $i] % 99.97/13.72 : ! [v1: $i] : ! [v2: $i] : ( ~ (slbdtrb0(v1) = v2) | ~ $i(v1) | ~ $i(v0) % 99.97/13.72 | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v3: $i] % 99.97/13.72 : ? [v4: $i] : ((v1 = v0 | aElementOf0(v0, v2) | (slbdtrb0(v3) = v4 & % 99.97/13.72 szszuzczcdt0(v1) = v3 & $i(v4) & $i(v3) & ~ aElementOf0(v0, v4))) & % 99.97/13.72 (( ~ (v1 = v0) & ~ aElementOf0(v0, v2)) | (slbdtrb0(v3) = v4 & % 99.97/13.72 szszuzczcdt0(v1) = v3 & $i(v4) & $i(v3) & aElementOf0(v0, v4))))) % 99.97/13.72 % 99.97/13.72 (mSegZero) % 99.97/13.72 slbdtrb0(sz00) = slcrc0 & $i(sz00) & $i(slcrc0) % 99.97/13.72 % 99.97/13.72 (mSuccNum) % 99.97/13.72 $i(sz00) & $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ( ~ (szszuzczcdt0(v0) = % 99.97/13.72 v1) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v1, % 99.97/13.72 szNzAzT0)) & ! [v0: $i] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ $i(v0) | ~ % 99.97/13.72 aElementOf0(v0, szNzAzT0)) % 99.97/13.72 % 99.97/13.72 (mZeroNum) % 99.97/13.72 $i(sz00) & $i(szNzAzT0) & aElementOf0(sz00, szNzAzT0) % 99.97/13.72 % 99.97/13.72 (m__) % 99.97/13.72 $i(xS) & $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ( ~ (slbdtrb0(v0) = v1) | % 99.97/13.72 ~ $i(v0) | ~ aSubsetOf0(xS, v1) | ~ aElementOf0(v0, szNzAzT0)) % 99.97/13.72 % 99.97/13.72 (m__1986) % 99.97/13.72 $i(xS) & $i(szNzAzT0) & aSubsetOf0(xS, szNzAzT0) & isFinite0(xS) % 99.97/13.72 % 99.97/13.72 (m__2035) % 99.97/13.73 $i(xS) & $i(slcrc0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (xS = slcrc0 | % 99.97/13.73 (slbdtrb0(v1) = v2 & szmzazxdt0(xS) = v0 & szszuzczcdt0(v0) = v1 & $i(v2) & % 99.97/13.73 $i(v1) & $i(v0) & aSubsetOf0(xS, v2))) % 99.97/13.73 % 99.97/13.73 (function-axioms) % 99.97/13.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 99.97/13.73 (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! % 99.97/13.73 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | % 99.97/13.73 ~ (sdtpldt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 99.97/13.73 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2) = v0)) & ! [v0: $i] : ! % 99.97/13.73 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szmzazxdt0(v2) = v1) | ~ % 99.97/13.73 (szmzazxdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 99.97/13.73 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2) = v0)) & ! [v0: $i] : ! % 99.97/13.73 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) % 99.97/13.73 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 99.97/13.73 (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 99.97/13.73 % 99.97/13.73 Further assumptions not needed in the proof: % 99.97/13.73 -------------------------------------------- % 99.97/13.73 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS, % 99.97/13.73 mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mDefCons, mDefDiff, % 99.97/13.73 mDefMin, mDefSeg, mDiffCons, mEOfElem, mElmSort, mEmpFin, mFConsSet, mFDiffSet, % 99.97/13.73 mFinRel, mIH, mIHSort, mLessASymm, mLessRefl, mLessRel, mLessSucc, mLessTotal, % 99.97/13.73 mLessTrans, mMinMin, mNatExtra, mNatNSucc, mNoScLessZr, mSegFin, mSegLess, % 99.97/13.73 mSetSort, mSubASymm, mSubFSet, mSubRefl, mSubTrans, mSuccEquSucc, mSuccLess, % 99.97/13.73 mZeroLess % 99.97/13.73 % 99.97/13.73 Those formulas are unsatisfiable: % 99.97/13.73 --------------------------------- % 99.97/13.73 % 99.97/13.73 Begin of proof % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mDefEmp) implies: % 99.97/13.73 | (1) aSet0(slcrc0) % 99.97/13.73 | (2) ! [v0: $i] : (v0 = slcrc0 | ~ $i(v0) | ~ aSet0(v0) | ? [v1: $i] : % 99.97/13.73 | ($i(v1) & aElementOf0(v1, v0))) % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mCountNFin_01) implies: % 99.97/13.73 | (3) ~ isCountable0(slcrc0) | ~ aSet0(slcrc0) % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mDefSub) implies: % 99.97/13.73 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aSet0(v1) | ~ % 99.97/13.73 | aSet0(v0) | aSubsetOf0(v1, v0) | ? [v2: $i] : ($i(v2) & % 99.97/13.73 | aElementOf0(v2, v1) & ~ aElementOf0(v2, v0))) % 99.97/13.73 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v1, % 99.97/13.73 | v0) | ~ aSet0(v0) | aSet0(v1)) % 99.97/13.73 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 99.97/13.73 | $i(v0) | ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ % 99.97/13.73 | aSet0(v0) | aElementOf0(v2, v0)) % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mNATSet) implies: % 99.97/13.73 | (7) aSet0(szNzAzT0) % 99.97/13.73 | (8) isCountable0(szNzAzT0) % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mZeroNum) implies: % 99.97/13.73 | (9) aElementOf0(sz00, szNzAzT0) % 99.97/13.73 | % 99.97/13.73 | ALPHA: (mSuccNum) implies: % 99.97/13.73 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (szszuzczcdt0(v0) = v1) | ~ $i(v0) | % 99.97/13.73 | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v1, szNzAzT0)) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (mDefMax) implies: % 99.97/13.74 | (11) ! [v0: $i] : ! [v1: $i] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | % 99.97/13.74 | ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v0, szNzAzT0) | ~ % 99.97/13.74 | isFinite0(v0) | aElementOf0(v1, v0)) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (mSegZero) implies: % 99.97/13.74 | (12) $i(sz00) % 99.97/13.74 | (13) slbdtrb0(sz00) = slcrc0 % 99.97/13.74 | % 99.97/13.74 | ALPHA: (mSegSucc) implies: % 99.97/13.74 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (slbdtrb0(v1) = v2) | ~ % 99.97/13.74 | $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ % 99.97/13.74 | aElementOf0(v0, szNzAzT0) | ? [v3: $i] : ? [v4: $i] : ((v1 = v0 | % 99.97/13.74 | aElementOf0(v0, v2) | (slbdtrb0(v3) = v4 & szszuzczcdt0(v1) = v3 % 99.97/13.74 | & $i(v4) & $i(v3) & ~ aElementOf0(v0, v4))) & (( ~ (v1 = v0) % 99.97/13.74 | & ~ aElementOf0(v0, v2)) | (slbdtrb0(v3) = v4 & % 99.97/13.74 | szszuzczcdt0(v1) = v3 & $i(v4) & $i(v3) & aElementOf0(v0, % 99.97/13.74 | v4))))) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (m__1986) implies: % 99.97/13.74 | (15) isFinite0(xS) % 99.97/13.74 | (16) aSubsetOf0(xS, szNzAzT0) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (m__2035) implies: % 99.97/13.74 | (17) $i(slcrc0) % 99.97/13.74 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (xS = slcrc0 | (slbdtrb0(v1) % 99.97/13.74 | = v2 & szmzazxdt0(xS) = v0 & szszuzczcdt0(v0) = v1 & $i(v2) & % 99.97/13.74 | $i(v1) & $i(v0) & aSubsetOf0(xS, v2))) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (m__) implies: % 99.97/13.74 | (19) $i(szNzAzT0) % 99.97/13.74 | (20) $i(xS) % 99.97/13.74 | (21) ! [v0: $i] : ! [v1: $i] : ( ~ (slbdtrb0(v0) = v1) | ~ $i(v0) | ~ % 99.97/13.74 | aSubsetOf0(xS, v1) | ~ aElementOf0(v0, szNzAzT0)) % 99.97/13.74 | % 99.97/13.74 | ALPHA: (function-axioms) implies: % 99.97/13.74 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 99.97/13.74 | (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) % 99.97/13.74 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slbdtrb0(v2) % 99.97/13.74 | = v1) | ~ (slbdtrb0(v2) = v0)) % 99.97/13.74 | % 99.97/13.74 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2 % 99.97/13.74 | gives: % 99.97/13.74 | (24) xS = slcrc0 | (slbdtrb0(all_48_1) = all_48_0 & szmzazxdt0(xS) = % 99.97/13.74 | all_48_2 & szszuzczcdt0(all_48_2) = all_48_1 & $i(all_48_0) & % 99.97/13.74 | $i(all_48_1) & $i(all_48_2) & aSubsetOf0(xS, all_48_0)) % 99.97/13.74 | % 99.97/13.74 | BETA: splitting (3) gives: % 99.97/13.74 | % 99.97/13.74 | Case 1: % 99.97/13.74 | | % 99.97/13.74 | | (25) ~ isCountable0(slcrc0) % 99.97/13.74 | | % 99.97/13.74 | | PRED_UNIFY: (8), (25) imply: % 99.97/13.74 | | (26) ~ (szNzAzT0 = slcrc0) % 99.97/13.74 | | % 99.97/13.74 | | GROUND_INST: instantiating (2) with szNzAzT0, simplifying with (7), (19) % 99.97/13.74 | | gives: % 99.97/13.74 | | (27) szNzAzT0 = slcrc0 | ? [v0: $i] : ($i(v0) & aElementOf0(v0, % 99.97/13.74 | | szNzAzT0)) % 99.97/13.74 | | % 99.97/13.74 | | GROUND_INST: instantiating (5) with szNzAzT0, xS, simplifying with (7), % 99.97/13.74 | | (16), (19), (20) gives: % 99.97/13.74 | | (28) aSet0(xS) % 99.97/13.74 | | % 99.97/13.75 | | GROUND_INST: instantiating (14) with sz00, sz00, slcrc0, simplifying with % 99.97/13.75 | | (9), (12), (13) gives: % 99.97/13.75 | | (29) ? [v0: $i] : ? [v1: $i] : (slbdtrb0(v0) = v1 & szszuzczcdt0(sz00) % 99.97/13.75 | | = v0 & $i(v1) & $i(v0) & aElementOf0(sz00, v1)) % 99.97/13.75 | | % 99.97/13.75 | | DELTA: instantiating (29) with fresh symbols all_63_0, all_63_1 gives: % 99.97/13.75 | | (30) slbdtrb0(all_63_1) = all_63_0 & szszuzczcdt0(sz00) = all_63_1 & % 99.97/13.75 | | $i(all_63_0) & $i(all_63_1) & aElementOf0(sz00, all_63_0) % 99.97/13.75 | | % 99.97/13.75 | | ALPHA: (30) implies: % 99.97/13.75 | | (31) aElementOf0(sz00, all_63_0) % 99.97/13.75 | | (32) $i(all_63_1) % 99.97/13.75 | | (33) szszuzczcdt0(sz00) = all_63_1 % 99.97/13.75 | | (34) slbdtrb0(all_63_1) = all_63_0 % 99.97/13.75 | | % 99.97/13.75 | | BETA: splitting (27) gives: % 99.97/13.75 | | % 99.97/13.75 | | Case 1: % 99.97/13.75 | | | % 99.97/13.75 | | | (35) szNzAzT0 = slcrc0 % 99.97/13.75 | | | % 99.97/13.75 | | | REDUCE: (26), (35) imply: % 99.97/13.75 | | | (36) $false % 99.97/13.75 | | | % 99.97/13.75 | | | CLOSE: (36) is inconsistent. % 99.97/13.75 | | | % 99.97/13.75 | | Case 2: % 99.97/13.75 | | | % 99.97/13.75 | | | % 99.97/13.75 | | | GROUND_INST: instantiating (4) with slcrc0, xS, simplifying with (1), % 99.97/13.75 | | | (17), (20), (28) gives: % 99.97/13.75 | | | (37) aSubsetOf0(xS, slcrc0) | ? [v0: $i] : ($i(v0) & aElementOf0(v0, % 99.97/13.75 | | | xS) & ~ aElementOf0(v0, slcrc0)) % 99.97/13.75 | | | % 99.97/13.75 | | | GROUND_INST: instantiating (21) with sz00, slcrc0, simplifying with (9), % 99.97/13.75 | | | (12), (13) gives: % 99.97/13.75 | | | (38) ~ aSubsetOf0(xS, slcrc0) % 99.97/13.75 | | | % 99.97/13.75 | | | GROUND_INST: instantiating (10) with sz00, all_63_1, simplifying with (9), % 99.97/13.75 | | | (12), (33) gives: % 99.97/13.75 | | | (39) aElementOf0(all_63_1, szNzAzT0) % 99.97/13.75 | | | % 99.97/13.75 | | | GROUND_INST: instantiating (14) with sz00, all_63_1, all_63_0, simplifying % 99.97/13.75 | | | with (9), (12), (32), (34) gives: % 99.97/13.75 | | | (40) ~ aElementOf0(all_63_1, szNzAzT0) | ? [v0: $i] : ? [v1: $i] : % 99.97/13.75 | | | ((all_63_1 = sz00 | aElementOf0(sz00, all_63_0) | (slbdtrb0(v0) = % 99.97/13.75 | | | v1 & szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) & ~ % 99.97/13.75 | | | aElementOf0(sz00, v1))) & (( ~ (all_63_1 = sz00) & ~ % 99.97/13.75 | | | aElementOf0(sz00, all_63_0)) | (slbdtrb0(v0) = v1 & % 99.97/13.75 | | | szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) & % 99.97/13.75 | | | aElementOf0(sz00, v1)))) % 99.97/13.75 | | | % 99.97/13.75 | | | GROUND_INST: instantiating (14) with all_63_1, all_63_1, all_63_0, % 99.97/13.75 | | | simplifying with (32), (34) gives: % 99.97/13.75 | | | (41) ~ aElementOf0(all_63_1, szNzAzT0) | ? [v0: $i] : ? [v1: $i] : % 99.97/13.75 | | | (slbdtrb0(v0) = v1 & szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) % 99.97/13.75 | | | & aElementOf0(all_63_1, v1)) % 99.97/13.75 | | | % 99.97/13.75 | | | BETA: splitting (37) gives: % 99.97/13.75 | | | % 99.97/13.75 | | | Case 1: % 99.97/13.75 | | | | % 99.97/13.75 | | | | (42) aSubsetOf0(xS, slcrc0) % 99.97/13.75 | | | | % 99.97/13.75 | | | | PRED_UNIFY: (38), (42) imply: % 99.97/13.75 | | | | (43) $false % 99.97/13.75 | | | | % 99.97/13.75 | | | | CLOSE: (43) is inconsistent. % 99.97/13.75 | | | | % 99.97/13.75 | | | Case 2: % 99.97/13.75 | | | | % 99.97/13.75 | | | | (44) ? [v0: $i] : ($i(v0) & aElementOf0(v0, xS) & ~ aElementOf0(v0, % 99.97/13.75 | | | | slcrc0)) % 99.97/13.75 | | | | % 99.97/13.75 | | | | DELTA: instantiating (44) with fresh symbol all_97_0 gives: % 99.97/13.75 | | | | (45) $i(all_97_0) & aElementOf0(all_97_0, xS) & ~ % 99.97/13.75 | | | | aElementOf0(all_97_0, slcrc0) % 99.97/13.75 | | | | % 99.97/13.75 | | | | ALPHA: (45) implies: % 99.97/13.75 | | | | (46) ~ aElementOf0(all_97_0, slcrc0) % 99.97/13.75 | | | | (47) aElementOf0(all_97_0, xS) % 99.97/13.75 | | | | % 99.97/13.75 | | | | BETA: splitting (41) gives: % 99.97/13.75 | | | | % 99.97/13.75 | | | | Case 1: % 99.97/13.75 | | | | | % 99.97/13.75 | | | | | (48) ~ aElementOf0(all_63_1, szNzAzT0) % 99.97/13.75 | | | | | % 99.97/13.75 | | | | | PRED_UNIFY: (39), (48) imply: % 99.97/13.75 | | | | | (49) $false % 99.97/13.75 | | | | | % 99.97/13.75 | | | | | CLOSE: (49) is inconsistent. % 99.97/13.75 | | | | | % 99.97/13.75 | | | | Case 2: % 99.97/13.75 | | | | | % 99.97/13.76 | | | | | (50) ? [v0: $i] : ? [v1: $i] : (slbdtrb0(v0) = v1 & % 99.97/13.76 | | | | | szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) & % 99.97/13.76 | | | | | aElementOf0(all_63_1, v1)) % 99.97/13.76 | | | | | % 99.97/13.76 | | | | | DELTA: instantiating (50) with fresh symbols all_111_0, all_111_1 % 99.97/13.76 | | | | | gives: % 99.97/13.76 | | | | | (51) slbdtrb0(all_111_1) = all_111_0 & szszuzczcdt0(all_63_1) = % 99.97/13.76 | | | | | all_111_1 & $i(all_111_0) & $i(all_111_1) & % 99.97/13.76 | | | | | aElementOf0(all_63_1, all_111_0) % 99.97/13.76 | | | | | % 99.97/13.76 | | | | | ALPHA: (51) implies: % 99.97/13.76 | | | | | (52) szszuzczcdt0(all_63_1) = all_111_1 % 99.97/13.76 | | | | | (53) slbdtrb0(all_111_1) = all_111_0 % 99.97/13.76 | | | | | % 99.97/13.76 | | | | | BETA: splitting (40) gives: % 99.97/13.76 | | | | | % 99.97/13.76 | | | | | Case 1: % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | (54) ~ aElementOf0(all_63_1, szNzAzT0) % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | PRED_UNIFY: (39), (54) imply: % 99.97/13.76 | | | | | | (55) $false % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | CLOSE: (55) is inconsistent. % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | Case 2: % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | (56) ? [v0: $i] : ? [v1: $i] : ((all_63_1 = sz00 | % 99.97/13.76 | | | | | | aElementOf0(sz00, all_63_0) | (slbdtrb0(v0) = v1 & % 99.97/13.76 | | | | | | szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) & ~ % 99.97/13.76 | | | | | | aElementOf0(sz00, v1))) & (( ~ (all_63_1 = sz00) & ~ % 99.97/13.76 | | | | | | aElementOf0(sz00, all_63_0)) | (slbdtrb0(v0) = v1 & % 99.97/13.76 | | | | | | szszuzczcdt0(all_63_1) = v0 & $i(v1) & $i(v0) & % 99.97/13.76 | | | | | | aElementOf0(sz00, v1)))) % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | DELTA: instantiating (56) with fresh symbols all_116_0, all_116_1 % 99.97/13.76 | | | | | | gives: % 99.97/13.76 | | | | | | (57) (all_63_1 = sz00 | aElementOf0(sz00, all_63_0) | % 99.97/13.76 | | | | | | (slbdtrb0(all_116_1) = all_116_0 & szszuzczcdt0(all_63_1) % 99.97/13.76 | | | | | | = all_116_1 & $i(all_116_0) & $i(all_116_1) & ~ % 99.97/13.76 | | | | | | aElementOf0(sz00, all_116_0))) & (( ~ (all_63_1 = sz00) % 99.97/13.76 | | | | | | & ~ aElementOf0(sz00, all_63_0)) | (slbdtrb0(all_116_1) % 99.97/13.76 | | | | | | = all_116_0 & szszuzczcdt0(all_63_1) = all_116_1 & % 99.97/13.76 | | | | | | $i(all_116_0) & $i(all_116_1) & aElementOf0(sz00, % 99.97/13.76 | | | | | | all_116_0))) % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | ALPHA: (57) implies: % 99.97/13.76 | | | | | | (58) ( ~ (all_63_1 = sz00) & ~ aElementOf0(sz00, all_63_0)) | % 99.97/13.76 | | | | | | (slbdtrb0(all_116_1) = all_116_0 & szszuzczcdt0(all_63_1) = % 99.97/13.76 | | | | | | all_116_1 & $i(all_116_0) & $i(all_116_1) & % 99.97/13.76 | | | | | | aElementOf0(sz00, all_116_0)) % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | BETA: splitting (58) gives: % 99.97/13.76 | | | | | | % 99.97/13.76 | | | | | | Case 1: % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | (59) ~ (all_63_1 = sz00) & ~ aElementOf0(sz00, all_63_0) % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | ALPHA: (59) implies: % 99.97/13.76 | | | | | | | (60) ~ aElementOf0(sz00, all_63_0) % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | PRED_UNIFY: (31), (60) imply: % 99.97/13.76 | | | | | | | (61) $false % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | CLOSE: (61) is inconsistent. % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | Case 2: % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | (62) slbdtrb0(all_116_1) = all_116_0 & szszuzczcdt0(all_63_1) = % 99.97/13.76 | | | | | | | all_116_1 & $i(all_116_0) & $i(all_116_1) & % 99.97/13.76 | | | | | | | aElementOf0(sz00, all_116_0) % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | ALPHA: (62) implies: % 99.97/13.76 | | | | | | | (63) szszuzczcdt0(all_63_1) = all_116_1 % 99.97/13.76 | | | | | | | (64) slbdtrb0(all_116_1) = all_116_0 % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | GROUND_INST: instantiating (22) with all_111_1, all_116_1, % 99.97/13.76 | | | | | | | all_63_1, simplifying with (52), (63) gives: % 99.97/13.76 | | | | | | | (65) all_116_1 = all_111_1 % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | GROUND_INST: instantiating (23) with all_111_0, all_116_0, % 99.97/13.76 | | | | | | | all_111_1, simplifying with (53) gives: % 99.97/13.76 | | | | | | | (66) all_116_0 = all_111_0 | ~ (slbdtrb0(all_111_1) = % 99.97/13.76 | | | | | | | all_116_0) % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | PRED_UNIFY: (46), (47) imply: % 99.97/13.76 | | | | | | | (67) ~ (xS = slcrc0) % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | REDUCE: (64), (65) imply: % 99.97/13.76 | | | | | | | (68) slbdtrb0(all_111_1) = all_116_0 % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | BETA: splitting (24) gives: % 99.97/13.76 | | | | | | | % 99.97/13.76 | | | | | | | Case 1: % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | (69) xS = slcrc0 % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | REDUCE: (67), (69) imply: % 99.97/13.76 | | | | | | | | (70) $false % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | CLOSE: (70) is inconsistent. % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | Case 2: % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | (71) slbdtrb0(all_48_1) = all_48_0 & szmzazxdt0(xS) = % 99.97/13.76 | | | | | | | | all_48_2 & szszuzczcdt0(all_48_2) = all_48_1 & % 99.97/13.76 | | | | | | | | $i(all_48_0) & $i(all_48_1) & $i(all_48_2) & % 99.97/13.76 | | | | | | | | aSubsetOf0(xS, all_48_0) % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | ALPHA: (71) implies: % 99.97/13.76 | | | | | | | | (72) aSubsetOf0(xS, all_48_0) % 99.97/13.76 | | | | | | | | (73) $i(all_48_2) % 99.97/13.76 | | | | | | | | (74) $i(all_48_1) % 99.97/13.76 | | | | | | | | (75) szszuzczcdt0(all_48_2) = all_48_1 % 99.97/13.76 | | | | | | | | (76) szmzazxdt0(xS) = all_48_2 % 99.97/13.76 | | | | | | | | (77) slbdtrb0(all_48_1) = all_48_0 % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | BETA: splitting (66) gives: % 99.97/13.76 | | | | | | | | % 99.97/13.76 | | | | | | | | Case 1: % 99.97/13.76 | | | | | | | | | % 99.97/13.76 | | | | | | | | | (78) ~ (slbdtrb0(all_111_1) = all_116_0) % 99.97/13.76 | | | | | | | | | % 99.97/13.77 | | | | | | | | | PRED_UNIFY: (68), (78) imply: % 99.97/13.77 | | | | | | | | | (79) $false % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | CLOSE: (79) is inconsistent. % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | Case 2: % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | GROUND_INST: instantiating (10) with all_48_2, all_48_1, % 99.97/13.77 | | | | | | | | | simplifying with (73), (75) gives: % 99.97/13.77 | | | | | | | | | (80) ~ aElementOf0(all_48_2, szNzAzT0) | % 99.97/13.77 | | | | | | | | | aElementOf0(all_48_1, szNzAzT0) % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | GROUND_INST: instantiating (11) with xS, all_48_2, simplifying % 99.97/13.77 | | | | | | | | | with (15), (16), (20), (73), (76) gives: % 99.97/13.77 | | | | | | | | | (81) xS = slcrc0 | aElementOf0(all_48_2, xS) % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | GROUND_INST: instantiating (21) with all_48_1, all_48_0, % 99.97/13.77 | | | | | | | | | simplifying with (72), (74), (77) gives: % 99.97/13.77 | | | | | | | | | (82) ~ aElementOf0(all_48_1, szNzAzT0) % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | BETA: splitting (81) gives: % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | | Case 1: % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | (83) aElementOf0(all_48_2, xS) % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | BETA: splitting (80) gives: % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | Case 1: % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | (84) ~ aElementOf0(all_48_2, szNzAzT0) % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | GROUND_INST: instantiating (6) with szNzAzT0, xS, all_48_2, % 99.97/13.77 | | | | | | | | | | | simplifying with (7), (16), (19), (20), (73), % 99.97/13.77 | | | | | | | | | | | (83), (84) gives: % 99.97/13.77 | | | | | | | | | | | (85) $false % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | CLOSE: (85) is inconsistent. % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | Case 2: % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | (86) aElementOf0(all_48_1, szNzAzT0) % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | PRED_UNIFY: (82), (86) imply: % 99.97/13.77 | | | | | | | | | | | (87) $false % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | | CLOSE: (87) is inconsistent. % 99.97/13.77 | | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | End of split % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | Case 2: % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | (88) xS = slcrc0 % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | REDUCE: (67), (88) imply: % 99.97/13.77 | | | | | | | | | | (89) $false % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | | CLOSE: (89) is inconsistent. % 99.97/13.77 | | | | | | | | | | % 99.97/13.77 | | | | | | | | | End of split % 99.97/13.77 | | | | | | | | | % 99.97/13.77 | | | | | | | | End of split % 99.97/13.77 | | | | | | | | % 99.97/13.77 | | | | | | | End of split % 99.97/13.77 | | | | | | | % 99.97/13.77 | | | | | | End of split % 99.97/13.77 | | | | | | % 99.97/13.77 | | | | | End of split % 99.97/13.77 | | | | | % 99.97/13.77 | | | | End of split % 99.97/13.77 | | | | % 99.97/13.77 | | | End of split % 99.97/13.77 | | | % 99.97/13.77 | | End of split % 99.97/13.77 | | % 99.97/13.77 | Case 2: % 99.97/13.77 | | % 99.97/13.77 | | (90) ~ aSet0(slcrc0) % 99.97/13.77 | | % 99.97/13.77 | | PRED_UNIFY: (1), (90) imply: % 99.97/13.77 | | (91) $false % 99.97/13.77 | | % 99.97/13.77 | | CLOSE: (91) is inconsistent. % 99.97/13.77 | | % 99.97/13.77 | End of split % 99.97/13.77 | % 99.97/13.77 End of proof % 99.97/13.77 % SZS output end Proof for theBenchmark % 99.97/13.77 % 99.97/13.77 13164ms %------------------------------------------------------------------------------