%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : RNG087+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 : n003.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 13:57:46 EDT 2023 % Result : Theorem 20.90s 3.55s % Output : Proof 20.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG087+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 : n003.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 : Sun Aug 27 01:39:54 EDT 2023 % 0.13/0.35 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 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 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 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 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 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 % 2.84/1.13 Prover 4: Preprocessing ... % 2.84/1.13 Prover 1: Preprocessing ... % 3.26/1.17 Prover 2: Preprocessing ... % 3.26/1.17 Prover 3: Preprocessing ... % 3.26/1.17 Prover 5: Preprocessing ... % 3.26/1.17 Prover 6: Preprocessing ... % 3.26/1.17 Prover 0: Preprocessing ... % 7.35/1.77 Prover 3: Constructing countermodel ... % 7.35/1.77 Prover 1: Constructing countermodel ... % 7.71/1.82 Prover 6: Proving ... % 8.03/1.90 Prover 5: Proving ... % 8.03/1.90 Prover 4: Constructing countermodel ... % 8.81/1.95 Prover 2: Proving ... % 9.23/2.04 Prover 0: Proving ... % 13.28/2.56 Prover 3: gave up % 13.28/2.56 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 13.56/2.61 Prover 7: Preprocessing ... % 14.50/2.72 Prover 7: Constructing countermodel ... % 20.19/3.55 Prover 7: Found proof (size 15) % 20.19/3.55 Prover 7: proved (988ms) % 20.19/3.55 Prover 0: stopped % 20.19/3.55 Prover 5: stopped % 20.19/3.55 Prover 2: stopped % 20.19/3.55 Prover 6: stopped % 20.19/3.55 Prover 4: stopped % 20.90/3.55 Prover 1: stopped % 20.90/3.55 % 20.90/3.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 20.90/3.55 % 20.90/3.56 % SZS output start Proof for theBenchmark % 20.90/3.56 Assumptions after simplification: % 20.90/3.56 --------------------------------- % 20.90/3.56 % 20.90/3.56 (mDefIdeal) % 20.90/3.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtasdt0(v2, v1) % 20.90/3.59 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aIdeal0(v0) | ~ % 20.90/3.59 aElementOf0(v1, v0) | ~ aElement0(v2) | aElementOf0(v3, v0)) & ! [v0: $i] % 20.90/3.59 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ % 20.90/3.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aIdeal0(v0) | ~ aElementOf0(v2, v0) | % 20.90/3.59 ~ aElementOf0(v1, v0) | aElementOf0(v3, v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 20.90/3.59 aIdeal0(v0) | aSet0(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ aSet0(v0) | % 20.90/3.59 aIdeal0(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 20.90/3.59 [v5: $i] : ($i(v4) & $i(v2) & $i(v1) & aElementOf0(v1, v0) & ((sdtasdt0(v2, % 20.90/3.59 v1) = v3 & $i(v3) & aElement0(v2) & ~ aElementOf0(v3, v0)) | % 20.90/3.59 (sdtpldt0(v1, v4) = v5 & $i(v5) & aElementOf0(v4, v0) & ~ % 20.90/3.59 aElementOf0(v5, v0))))) % 20.90/3.59 % 20.90/3.59 (mDefSSum) % 20.90/3.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 20.90/3.60 $i] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (sdtpldt0(v4, v5) = v3) | ~ $i(v5) | % 20.90/3.60 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 20.90/3.60 aElementOf0(v5, v1) | ~ aElementOf0(v4, v0) | ~ aSet0(v1) | ~ aSet0(v0) | % 20.90/3.60 aElementOf0(v3, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 20.90/3.60 : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | % 20.90/3.60 ~ aSet0(v3) | ~ aSet0(v1) | ~ aSet0(v0) | ? [v4: $i] : ? [v5: $i] : ? % 20.90/3.60 [v6: $i] : ? [v7: $i] : ($i(v6) & $i(v5) & $i(v4) & ( ~ aElementOf0(v4, v3) % 20.90/3.60 | ! [v8: $i] : ! [v9: $i] : ( ~ (sdtpldt0(v8, v9) = v4) | ~ $i(v9) | % 20.90/3.60 ~ $i(v8) | ~ aElementOf0(v9, v1) | ~ aElementOf0(v8, v0))) & % 20.90/3.60 (aElementOf0(v4, v3) | (v7 = v4 & sdtpldt0(v5, v6) = v4 & aElementOf0(v6, % 20.90/3.60 v1) & aElementOf0(v5, v0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 20.90/3.60 $i] : ! [v3: $i] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ $i(v3) | ~ $i(v2) | ~ % 20.90/3.60 $i(v1) | ~ $i(v0) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | % 20.90/3.60 ? [v4: $i] : ? [v5: $i] : (sdtpldt0(v4, v5) = v3 & $i(v5) & $i(v4) & % 20.90/3.60 aElementOf0(v5, v1) & aElementOf0(v4, v0))) & ! [v0: $i] : ! [v1: $i] : % 20.90/3.60 ! [v2: $i] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 20.90/3.60 ~ aSet0(v1) | ~ aSet0(v0) | aSet0(v2)) % 20.90/3.60 % 20.90/3.60 (m__) % 20.90/3.60 $i(xy) & $i(xJ) & $i(xI) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtpldt0(v0, v1) = % 20.90/3.60 xy) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v1, xJ) | ~ aElementOf0(v0, % 20.90/3.60 xI)) % 20.90/3.60 % 20.90/3.60 (m__870) % 20.90/3.60 $i(xJ) & $i(xI) & aIdeal0(xJ) & aIdeal0(xI) % 20.90/3.60 % 20.90/3.60 (m__901) % 20.90/3.60 $i(xz) & $i(xy) & $i(xx) & $i(xJ) & $i(xI) & ? [v0: $i] : (sdtpldt1(xI, xJ) = % 20.90/3.60 v0 & $i(v0) & aElementOf0(xy, v0) & aElementOf0(xx, v0) & aElement0(xz)) % 20.90/3.60 % 20.90/3.60 Further assumptions not needed in the proof: % 20.90/3.60 -------------------------------------------- % 20.90/3.60 mAMDistr, mAddAsso, mAddComm, mAddInvr, mAddZero, mCancel, mDefSInt, mEOfElem, % 20.90/3.60 mElmSort, mMulAsso, mMulComm, mMulMnOne, mMulUnit, mMulZero, mSetEq, mSetSort, % 20.90/3.60 mSortsB, mSortsB_02, mSortsC, mSortsC_01, mSortsU, mUnNeZr, m__934 % 20.90/3.60 % 20.90/3.60 Those formulas are unsatisfiable: % 20.90/3.60 --------------------------------- % 20.90/3.60 % 20.90/3.60 Begin of proof % 20.90/3.60 | % 20.90/3.60 | ALPHA: (mDefSSum) implies: % 20.90/3.60 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 20.90/3.60 | (sdtpldt1(v0, v1) = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 20.90/3.60 | $i(v0) | ~ aElementOf0(v3, v2) | ~ aSet0(v1) | ~ aSet0(v0) | ? % 20.90/3.60 | [v4: $i] : ? [v5: $i] : (sdtpldt0(v4, v5) = v3 & $i(v5) & $i(v4) & % 20.90/3.60 | aElementOf0(v5, v1) & aElementOf0(v4, v0))) % 20.90/3.60 | % 20.90/3.60 | ALPHA: (mDefIdeal) implies: % 20.90/3.60 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ aIdeal0(v0) | aSet0(v0)) % 20.90/3.60 | % 20.90/3.60 | ALPHA: (m__870) implies: % 20.90/3.60 | (3) aIdeal0(xI) % 20.90/3.60 | (4) aIdeal0(xJ) % 20.90/3.60 | % 20.90/3.60 | ALPHA: (m__901) implies: % 20.90/3.60 | (5) ? [v0: $i] : (sdtpldt1(xI, xJ) = v0 & $i(v0) & aElementOf0(xy, v0) & % 20.90/3.60 | aElementOf0(xx, v0) & aElement0(xz)) % 20.90/3.60 | % 20.90/3.60 | ALPHA: (m__) implies: % 20.90/3.60 | (6) $i(xI) % 20.90/3.60 | (7) $i(xJ) % 20.90/3.60 | (8) $i(xy) % 20.90/3.61 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtpldt0(v0, v1) = xy) | ~ $i(v1) | % 20.90/3.61 | ~ $i(v0) | ~ aElementOf0(v1, xJ) | ~ aElementOf0(v0, xI)) % 20.90/3.61 | % 20.90/3.61 | DELTA: instantiating (5) with fresh symbol all_23_0 gives: % 20.90/3.61 | (10) sdtpldt1(xI, xJ) = all_23_0 & $i(all_23_0) & aElementOf0(xy, all_23_0) % 20.90/3.61 | & aElementOf0(xx, all_23_0) & aElement0(xz) % 20.90/3.61 | % 20.90/3.61 | ALPHA: (10) implies: % 20.90/3.61 | (11) aElementOf0(xy, all_23_0) % 20.90/3.61 | (12) $i(all_23_0) % 20.90/3.61 | (13) sdtpldt1(xI, xJ) = all_23_0 % 20.90/3.61 | % 20.90/3.61 | GROUND_INST: instantiating (2) with xI, simplifying with (3), (6) gives: % 20.90/3.61 | (14) aSet0(xI) % 20.90/3.61 | % 20.90/3.61 | GROUND_INST: instantiating (2) with xJ, simplifying with (4), (7) gives: % 20.90/3.61 | (15) aSet0(xJ) % 20.90/3.61 | % 20.90/3.61 | GROUND_INST: instantiating (1) with xI, xJ, all_23_0, xy, simplifying with % 20.90/3.61 | (6), (7), (8), (11), (12), (13), (14), (15) gives: % 20.90/3.61 | (16) ? [v0: $i] : ? [v1: $i] : (sdtpldt0(v0, v1) = xy & $i(v1) & $i(v0) & % 20.90/3.61 | aElementOf0(v1, xJ) & aElementOf0(v0, xI)) % 20.90/3.61 | % 20.90/3.61 | DELTA: instantiating (16) with fresh symbols all_50_0, all_50_1 gives: % 20.90/3.61 | (17) sdtpldt0(all_50_1, all_50_0) = xy & $i(all_50_0) & $i(all_50_1) & % 20.90/3.61 | aElementOf0(all_50_0, xJ) & aElementOf0(all_50_1, xI) % 20.90/3.61 | % 20.90/3.61 | ALPHA: (17) implies: % 20.90/3.61 | (18) aElementOf0(all_50_1, xI) % 20.90/3.61 | (19) aElementOf0(all_50_0, xJ) % 20.90/3.61 | (20) $i(all_50_1) % 20.90/3.61 | (21) $i(all_50_0) % 20.90/3.61 | (22) sdtpldt0(all_50_1, all_50_0) = xy % 20.90/3.61 | % 20.90/3.61 | GROUND_INST: instantiating (9) with all_50_1, all_50_0, simplifying with (18), % 20.90/3.61 | (19), (20), (21), (22) gives: % 20.90/3.61 | (23) $false % 20.90/3.61 | % 20.90/3.61 | CLOSE: (23) is inconsistent. % 20.90/3.61 | % 20.90/3.61 End of proof % 20.90/3.61 % SZS output end Proof for theBenchmark % 20.90/3.61 % 20.90/3.61 2991ms %------------------------------------------------------------------------------