%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET883+1 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n006.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 15:26:54 EDT 2023 % Result : Theorem 3.52s 1.21s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET883+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n006.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 : Sat Aug 26 08:53:22 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.60 Running up to 7 provers in parallel. % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.68/0.97 Prover 1: Preprocessing ... % 1.68/0.97 Prover 4: Preprocessing ... % 1.68/1.02 Prover 6: Preprocessing ... % 1.68/1.02 Prover 3: Preprocessing ... % 1.68/1.02 Prover 5: Preprocessing ... % 1.68/1.02 Prover 2: Preprocessing ... % 2.28/1.02 Prover 0: Preprocessing ... % 2.83/1.10 Prover 1: Warning: ignoring some quantifiers % 2.83/1.10 Prover 3: Warning: ignoring some quantifiers % 2.83/1.11 Prover 5: Proving ... % 2.83/1.11 Prover 2: Proving ... % 2.83/1.11 Prover 6: Proving ... % 2.83/1.11 Prover 4: Constructing countermodel ... % 2.83/1.11 Prover 1: Constructing countermodel ... % 2.83/1.11 Prover 0: Proving ... % 2.83/1.12 Prover 3: Constructing countermodel ... % 3.52/1.20 Prover 0: proved (589ms) % 3.52/1.21 % 3.52/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.52/1.21 % 3.52/1.21 Prover 3: proved (593ms) % 3.52/1.21 % 3.52/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.52/1.21 % 3.52/1.21 Prover 6: proved (588ms) % 3.52/1.21 % 3.52/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.52/1.21 % 3.52/1.22 Prover 2: proved (594ms) % 3.52/1.22 % 3.52/1.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.52/1.22 % 3.52/1.22 Prover 5: stopped % 3.66/1.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.66/1.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.66/1.24 Prover 7: Preprocessing ... % 3.66/1.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.66/1.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.66/1.24 Prover 8: Preprocessing ... % 3.66/1.24 Prover 11: Preprocessing ... % 3.66/1.24 Prover 4: Found proof (size 5) % 3.66/1.24 Prover 4: proved (619ms) % 3.66/1.24 Prover 10: Preprocessing ... % 3.66/1.24 Prover 1: Found proof (size 5) % 3.66/1.24 Prover 1: proved (621ms) % 3.66/1.24 Prover 7: Warning: ignoring some quantifiers % 3.66/1.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.66/1.24 Prover 7: Constructing countermodel ... % 3.66/1.24 Prover 7: stopped % 3.66/1.24 Prover 13: Preprocessing ... % 3.66/1.25 Prover 10: Warning: ignoring some quantifiers % 3.66/1.25 Prover 10: Constructing countermodel ... % 3.66/1.25 Prover 10: stopped % 3.66/1.26 Prover 11: Constructing countermodel ... % 3.66/1.27 Prover 11: stopped % 3.66/1.27 Prover 8: Warning: ignoring some quantifiers % 3.66/1.27 Prover 8: Constructing countermodel ... % 3.66/1.27 Prover 8: stopped % 3.66/1.28 Prover 13: Warning: ignoring some quantifiers % 3.66/1.28 Prover 13: Constructing countermodel ... % 3.66/1.28 Prover 13: stopped % 3.66/1.28 % 3.66/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.66/1.28 % 3.66/1.29 % SZS output start Proof for theBenchmark % 3.66/1.29 Assumptions after simplification: % 3.66/1.29 --------------------------------- % 3.66/1.29 % 3.66/1.29 (t24_zfmisc_1) % 3.66/1.33 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v1 = v0) & % 3.66/1.33 singleton(v1) = v3 & singleton(v0) = v2 & subset(v2, v3) = 0 & $i(v3) & % 3.66/1.33 $i(v2) & $i(v1) & $i(v0)) % 3.66/1.33 % 3.66/1.33 (t6_zfmisc_1) % 3.66/1.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 3.66/1.33 (singleton(v1) = v3) | ~ (singleton(v0) = v2) | ~ (subset(v2, v3) = 0) | % 3.66/1.33 ~ $i(v1) | ~ $i(v0)) % 3.66/1.33 % 3.66/1.33 Further assumptions not needed in the proof: % 3.66/1.33 -------------------------------------------- % 3.66/1.33 rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski % 3.66/1.33 % 3.66/1.33 Those formulas are unsatisfiable: % 3.66/1.33 --------------------------------- % 3.66/1.33 % 3.66/1.33 Begin of proof % 3.66/1.33 | % 3.66/1.33 | DELTA: instantiating (t24_zfmisc_1) with fresh symbols all_9_0, all_9_1, % 3.66/1.33 | all_9_2, all_9_3 gives: % 3.66/1.33 | (1) ~ (all_9_2 = all_9_3) & singleton(all_9_2) = all_9_0 & % 3.66/1.33 | singleton(all_9_3) = all_9_1 & subset(all_9_1, all_9_0) = 0 & % 3.66/1.33 | $i(all_9_0) & $i(all_9_1) & $i(all_9_2) & $i(all_9_3) % 3.66/1.34 | % 3.66/1.34 | ALPHA: (1) implies: % 3.66/1.34 | (2) ~ (all_9_2 = all_9_3) % 3.66/1.34 | (3) $i(all_9_3) % 3.66/1.34 | (4) $i(all_9_2) % 3.66/1.34 | (5) subset(all_9_1, all_9_0) = 0 % 3.66/1.34 | (6) singleton(all_9_3) = all_9_1 % 3.66/1.34 | (7) singleton(all_9_2) = all_9_0 % 3.66/1.34 | % 3.66/1.34 | GROUND_INST: instantiating (t6_zfmisc_1) with all_9_3, all_9_2, all_9_1, % 3.66/1.34 | all_9_0, simplifying with (3), (4), (5), (6), (7) gives: % 3.66/1.34 | (8) all_9_2 = all_9_3 % 3.66/1.34 | % 3.66/1.34 | REDUCE: (2), (8) imply: % 3.66/1.34 | (9) $false % 3.66/1.34 | % 3.66/1.34 | CLOSE: (9) is inconsistent. % 3.66/1.34 | % 3.66/1.34 End of proof % 3.66/1.34 % SZS output end Proof for theBenchmark % 3.66/1.34 % 3.66/1.34 750ms %------------------------------------------------------------------------------