%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n018.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 : Sun Apr 6 10:08:51 AM UTC 2025 % Result : Theorem 5.84s 1.51s % Output : Proof 7.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % 0.04/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Sun Apr 6 03:11:47 EDT 2025 % 0.14/0.35 % CPUTime : % 0.54/0.62 ________ _____ % 0.54/0.62 ___ __ \_________(_)________________________________ % 0.54/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.54/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.54/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.54/0.62 % 0.54/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.54/0.62 (2023-06-19) % 0.54/0.62 % 0.54/0.62 (c) Philipp Rümmer, 2009-2023 % 0.54/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.54/0.62 Amanda Stjerna. % 0.54/0.62 Free software under BSD-3-Clause. % 0.54/0.62 % 0.54/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.54/0.62 % 0.54/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.54/0.63 Running up to 7 provers in parallel. % 0.71/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.71/1.12 Prover 4: Preprocessing ... % 2.71/1.12 Prover 1: Preprocessing ... % 3.27/1.15 Prover 3: Preprocessing ... % 3.27/1.15 Prover 6: Preprocessing ... % 3.27/1.15 Prover 0: Preprocessing ... % 3.27/1.15 Prover 5: Preprocessing ... % 3.27/1.15 Prover 2: Preprocessing ... % 4.91/1.41 Prover 5: Proving ... % 4.91/1.42 Prover 2: Proving ... % 4.91/1.42 Prover 3: Constructing countermodel ... % 4.91/1.43 Prover 1: Constructing countermodel ... % 5.55/1.45 Prover 6: Proving ... % 5.55/1.48 Prover 0: Proving ... % 5.84/1.49 Prover 4: Constructing countermodel ... % 5.84/1.51 Prover 3: proved (868ms) % 5.84/1.51 % 5.84/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.84/1.51 % 5.84/1.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.84/1.51 Prover 5: proved (871ms) % 5.84/1.51 Prover 6: proved (871ms) % 5.84/1.51 % 5.84/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.84/1.51 % 5.84/1.51 % 5.84/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.84/1.51 % 5.84/1.52 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.84/1.52 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.84/1.53 Prover 0: stopped % 5.84/1.53 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.84/1.53 Prover 2: stopped % 6.38/1.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.38/1.56 Prover 1: Found proof (size 29) % 6.38/1.56 Prover 1: proved (918ms) % 6.38/1.56 Prover 4: stopped % 6.38/1.58 Prover 7: Preprocessing ... % 6.38/1.59 Prover 8: Preprocessing ... % 6.38/1.59 Prover 11: Preprocessing ... % 6.38/1.59 Prover 10: Preprocessing ... % 6.38/1.60 Prover 13: Preprocessing ... % 6.38/1.61 Prover 7: stopped % 6.38/1.61 Prover 10: stopped % 6.38/1.62 Prover 11: stopped % 6.91/1.63 Prover 13: stopped % 7.15/1.67 Prover 8: Warning: ignoring some quantifiers % 7.15/1.68 Prover 8: Constructing countermodel ... % 7.15/1.69 Prover 8: stopped % 7.15/1.69 % 7.15/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.15/1.69 % 7.15/1.69 % SZS output start Proof for theBenchmark % 7.15/1.70 Assumptions after simplification: % 7.15/1.70 --------------------------------- % 7.15/1.70 % 7.15/1.70 (formula_1_transition_axiom_1) % 7.15/1.70 ~ hp | tp % 7.15/1.70 % 7.15/1.70 (formula_2_right_0) % 7.15/1.70 ( ~ tp | tq) & ( ~ hp | hq) % 7.15/1.70 % 7.15/1.70 (formula_3_left_0) % 7.15/1.70 (tp & ~ tq) | (hp & ~ hq) % 7.15/1.70 % 7.15/1.70 Further assumptions not needed in the proof: % 7.15/1.70 -------------------------------------------- % 7.15/1.70 antisymmetric_ordering_ax, f__integer__def_ax, f__symbolic__def_ax, % 7.15/1.70 formula_0_transition_axiom_0, general_universe_ax, maximal_element_ax, % 7.15/1.70 minimal_element_ax, numeral_ordering_ax, numerals_less_than_symbols_ax, % 7.15/1.70 p__greater__def_ax, p__greater_equal__def_ax, p__is_integer__def_ax, % 7.15/1.70 p__is_symbolic__def_ax, p__less__def_ax, strongly_connected_ordering_ax, % 7.15/1.70 transitive_ordering_ax % 7.15/1.70 % 7.15/1.70 Those formulas are unsatisfiable: % 7.15/1.70 --------------------------------- % 7.15/1.70 % 7.15/1.70 Begin of proof % 7.15/1.70 | % 7.15/1.70 | ALPHA: (formula_2_right_0) implies: % 7.15/1.71 | (1) ~ hp | hq % 7.15/1.71 | (2) ~ tp | tq % 7.15/1.71 | % 7.15/1.71 | BETA: splitting (formula_1_transition_axiom_1) gives: % 7.15/1.71 | % 7.15/1.71 | Case 1: % 7.15/1.71 | | % 7.15/1.71 | | (3) ~ hp % 7.15/1.71 | | % 7.15/1.71 | | BETA: splitting (formula_3_left_0) gives: % 7.15/1.71 | | % 7.15/1.71 | | Case 1: % 7.15/1.71 | | | % 7.15/1.71 | | | (4) tp & ~ tq % 7.15/1.71 | | | % 7.15/1.71 | | | ALPHA: (4) implies: % 7.15/1.71 | | | (5) ~ tq % 7.15/1.71 | | | (6) tp % 7.15/1.71 | | | % 7.15/1.71 | | | BETA: splitting (2) gives: % 7.15/1.71 | | | % 7.15/1.71 | | | Case 1: % 7.15/1.71 | | | | % 7.15/1.71 | | | | (7) ~ tp % 7.15/1.71 | | | | % 7.15/1.71 | | | | PRED_UNIFY: (6), (7) imply: % 7.15/1.71 | | | | (8) $false % 7.15/1.71 | | | | % 7.15/1.71 | | | | CLOSE: (8) is inconsistent. % 7.15/1.71 | | | | % 7.15/1.71 | | | Case 2: % 7.15/1.71 | | | | % 7.15/1.71 | | | | (9) tq % 7.15/1.71 | | | | % 7.15/1.71 | | | | PRED_UNIFY: (5), (9) imply: % 7.15/1.71 | | | | (10) $false % 7.15/1.71 | | | | % 7.15/1.71 | | | | CLOSE: (10) is inconsistent. % 7.15/1.71 | | | | % 7.15/1.71 | | | End of split % 7.15/1.71 | | | % 7.15/1.71 | | Case 2: % 7.15/1.71 | | | % 7.15/1.71 | | | (11) hp & ~ hq % 7.15/1.71 | | | % 7.15/1.71 | | | ALPHA: (11) implies: % 7.15/1.71 | | | (12) hp % 7.15/1.71 | | | % 7.15/1.71 | | | PRED_UNIFY: (3), (12) imply: % 7.15/1.71 | | | (13) $false % 7.15/1.71 | | | % 7.15/1.71 | | | CLOSE: (13) is inconsistent. % 7.15/1.71 | | | % 7.15/1.71 | | End of split % 7.15/1.71 | | % 7.15/1.71 | Case 2: % 7.15/1.71 | | % 7.15/1.71 | | (14) hp % 7.15/1.71 | | (15) tp % 7.15/1.71 | | % 7.15/1.71 | | BETA: splitting (1) gives: % 7.15/1.71 | | % 7.15/1.71 | | Case 1: % 7.15/1.71 | | | % 7.15/1.71 | | | (16) ~ hp % 7.15/1.71 | | | % 7.15/1.71 | | | PRED_UNIFY: (14), (16) imply: % 7.15/1.71 | | | (17) $false % 7.15/1.71 | | | % 7.15/1.71 | | | CLOSE: (17) is inconsistent. % 7.15/1.71 | | | % 7.15/1.71 | | Case 2: % 7.15/1.71 | | | % 7.15/1.71 | | | (18) hq % 7.15/1.71 | | | % 7.15/1.71 | | | BETA: splitting (2) gives: % 7.15/1.71 | | | % 7.15/1.71 | | | Case 1: % 7.15/1.71 | | | | % 7.15/1.71 | | | | (19) ~ tp % 7.15/1.71 | | | | % 7.15/1.71 | | | | PRED_UNIFY: (15), (19) imply: % 7.15/1.71 | | | | (20) $false % 7.15/1.71 | | | | % 7.15/1.71 | | | | CLOSE: (20) is inconsistent. % 7.15/1.71 | | | | % 7.15/1.71 | | | Case 2: % 7.15/1.71 | | | | % 7.15/1.71 | | | | (21) tq % 7.15/1.71 | | | | % 7.15/1.71 | | | | BETA: splitting (formula_3_left_0) gives: % 7.15/1.71 | | | | % 7.15/1.71 | | | | Case 1: % 7.15/1.71 | | | | | % 7.15/1.72 | | | | | (22) tp & ~ tq % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | ALPHA: (22) implies: % 7.15/1.72 | | | | | (23) ~ tq % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | PRED_UNIFY: (21), (23) imply: % 7.15/1.72 | | | | | (24) $false % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | CLOSE: (24) is inconsistent. % 7.15/1.72 | | | | | % 7.15/1.72 | | | | Case 2: % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | (25) hp & ~ hq % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | ALPHA: (25) implies: % 7.15/1.72 | | | | | (26) ~ hq % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | PRED_UNIFY: (18), (26) imply: % 7.15/1.72 | | | | | (27) $false % 7.15/1.72 | | | | | % 7.15/1.72 | | | | | CLOSE: (27) is inconsistent. % 7.15/1.72 | | | | | % 7.15/1.72 | | | | End of split % 7.15/1.72 | | | | % 7.15/1.72 | | | End of split % 7.15/1.72 | | | % 7.15/1.72 | | End of split % 7.15/1.72 | | % 7.15/1.72 | End of split % 7.15/1.72 | % 7.15/1.72 End of proof % 7.15/1.72 % SZS output end Proof for theBenchmark % 7.15/1.72 % 7.15/1.72 1096ms %------------------------------------------------------------------------------