%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO207+2 : TPTP v8.1.2. Released v3.3.0. % 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 : Wed Aug 30 23:22:19 EDT 2023 % Result : Theorem 5.35s 1.41s % Output : Proof 6.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO207+2 : TPTP v8.1.2. Released v3.3.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n006.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 20:40:21 EDT 2023 % 0.12/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 2.23/1.03 Prover 4: Preprocessing ... % 2.23/1.03 Prover 1: Preprocessing ... % 2.78/1.07 Prover 5: Preprocessing ... % 2.78/1.07 Prover 0: Preprocessing ... % 2.78/1.07 Prover 6: Preprocessing ... % 2.78/1.07 Prover 2: Preprocessing ... % 2.78/1.07 Prover 3: Preprocessing ... % 4.20/1.29 Prover 5: Proving ... % 4.20/1.31 Prover 2: Proving ... % 4.20/1.32 Prover 3: Constructing countermodel ... % 4.20/1.33 Prover 1: Constructing countermodel ... % 4.77/1.34 Prover 6: Constructing countermodel ... % 5.35/1.41 Prover 3: proved (779ms) % 5.35/1.41 Prover 6: proved (771ms) % 5.35/1.41 % 5.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.35/1.41 % 5.35/1.42 % 5.35/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.35/1.42 % 5.35/1.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.35/1.42 Prover 2: stopped % 5.35/1.42 Prover 1: Found proof (size 4) % 5.35/1.42 Prover 1: proved (791ms) % 5.35/1.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.35/1.42 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.35/1.43 Prover 5: proved (791ms) % 5.35/1.45 Prover 7: Preprocessing ... % 5.35/1.45 Prover 10: Preprocessing ... % 5.35/1.45 Prover 8: Preprocessing ... % 5.35/1.47 Prover 7: stopped % 5.35/1.47 Prover 10: stopped % 5.35/1.47 Prover 4: Constructing countermodel ... % 5.86/1.48 Prover 0: Proving ... % 5.86/1.49 Prover 4: stopped % 5.86/1.49 Prover 0: stopped % 5.86/1.53 Prover 8: Warning: ignoring some quantifiers % 5.86/1.54 Prover 8: Constructing countermodel ... % 5.86/1.55 Prover 8: stopped % 5.86/1.55 % 5.86/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.86/1.55 % 5.86/1.55 % SZS output start Proof for theBenchmark % 5.86/1.55 Assumptions after simplification: % 5.86/1.55 --------------------------------- % 5.86/1.55 % 5.86/1.55 (apart3) % 6.33/1.59 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 6.33/1.59 % 6.33/1.59 (con) % 6.44/1.59 ? [v0: $i] : (convergent_lines(v0, v0) = 0 & $i(v0)) % 6.44/1.59 % 6.44/1.59 Further assumptions not needed in the proof: % 6.44/1.59 -------------------------------------------- % 6.44/1.59 apart1, apart2, apart4, apart5, apart6, ceq1, ceq2, ceq3, con1, con2, cp1, cp2, % 6.44/1.59 cu1, cup1 % 6.44/1.59 % 6.44/1.59 Those formulas are unsatisfiable: % 6.44/1.59 --------------------------------- % 6.44/1.59 % 6.44/1.59 Begin of proof % 6.44/1.59 | % 6.44/1.59 | DELTA: instantiating (con) with fresh symbol all_18_0 gives: % 6.44/1.59 | (1) convergent_lines(all_18_0, all_18_0) = 0 & $i(all_18_0) % 6.44/1.59 | % 6.44/1.59 | ALPHA: (1) implies: % 6.44/1.59 | (2) $i(all_18_0) % 6.44/1.60 | (3) convergent_lines(all_18_0, all_18_0) = 0 % 6.44/1.60 | % 6.44/1.60 | GROUND_INST: instantiating (apart3) with all_18_0, simplifying with (2), (3) % 6.44/1.60 | gives: % 6.44/1.60 | (4) $false % 6.44/1.60 | % 6.44/1.60 | CLOSE: (4) is inconsistent. % 6.44/1.60 | % 6.44/1.60 End of proof % 6.44/1.60 % SZS output end Proof for theBenchmark % 6.44/1.60 % 6.44/1.60 989ms %------------------------------------------------------------------------------