%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 : 600s % DateTime : Tue Jul 19 00:16:37 EDT 2022 % Result : Theorem 4.66s 2.03s % Output : Proof 7.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n024.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 05:32:13 EDT 2022 % 0.11/0.33 % CPUTime : % 0.51/0.61 ____ _ % 0.51/0.61 ___ / __ \_____(_)___ ________ __________ % 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.51/0.61 % 0.51/0.61 A Theorem Prover for First-Order Logic % 0.51/0.62 (ePrincess v.1.0) % 0.51/0.62 % 0.51/0.62 (c) Philipp Rümmer, 2009-2015 % 0.51/0.62 (c) Peter Backeman, 2014-2015 % 0.51/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.51/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.51/0.62 Bug reports to peter@backeman.se % 0.51/0.62 % 0.51/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.51/0.62 % 0.51/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.19/0.92 Prover 0: Preprocessing ... % 1.43/0.97 Prover 0: Warning: ignoring some quantifiers % 1.43/0.99 Prover 0: Constructing countermodel ... % 1.74/1.13 Prover 0: gave up % 1.74/1.13 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.00/1.15 Prover 1: Preprocessing ... % 2.11/1.19 Prover 1: Warning: ignoring some quantifiers % 2.11/1.19 Prover 1: Constructing countermodel ... % 2.11/1.20 Prover 1: gave up % 2.11/1.20 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.11/1.21 Prover 2: Preprocessing ... % 2.41/1.25 Prover 2: Warning: ignoring some quantifiers % 2.41/1.25 Prover 2: Constructing countermodel ... % 2.41/1.27 Prover 2: gave up % 2.41/1.27 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.41/1.28 Prover 3: Preprocessing ... % 2.41/1.29 Prover 3: Warning: ignoring some quantifiers % 2.41/1.29 Prover 3: Constructing countermodel ... % 2.66/1.33 Prover 3: gave up % 2.66/1.33 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 2.66/1.34 Prover 4: Preprocessing ... % 2.80/1.38 Prover 4: Warning: ignoring some quantifiers % 2.80/1.38 Prover 4: Constructing countermodel ... % 3.39/1.62 Prover 4: gave up % 3.39/1.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.39/1.62 Prover 5: Preprocessing ... % 3.39/1.64 Prover 5: Warning: ignoring some quantifiers % 3.77/1.64 Prover 5: Constructing countermodel ... % 3.77/1.65 Prover 5: gave up % 3.77/1.65 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 3.77/1.65 Prover 6: Preprocessing ... % 3.77/1.67 Prover 6: Warning: ignoring some quantifiers % 3.77/1.67 Prover 6: Constructing countermodel ... % 3.77/1.68 Prover 6: gave up % 3.77/1.68 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 3.77/1.68 Prover 7: Preprocessing ... % 3.77/1.69 Prover 7: Proving ... % 4.66/2.03 Prover 7: proved (350ms) % 4.66/2.03 % 4.66/2.03 % SZS status Theorem for theBenchmark % 4.66/2.03 % 4.66/2.03 Generating proof ... found it (size 29) % 7.11/2.88 % 7.11/2.88 % SZS output start Proof for theBenchmark % 7.11/2.88 Assumed formulas after preprocessing and simplification: % 7.11/2.88 | (0) ! [v0] : ? [v1] : ( ! [v2] : ( ~ element(v2, v1) | ~ element(v2, v0)) & ! [v2] : (element(v2, v1) | element(v2, v0))) & ? [v0] : ( ! [v1] : ( ~ element(v1, v1) | element(v1, v0)) & ! [v1] : ( ~ element(v1, v0) | element(v1, v1))) % 7.11/2.88 | Applying alpha-rule on (0) yields: % 7.11/2.88 | (1) ! [v0] : ? [v1] : ( ! [v2] : ( ~ element(v2, v1) | ~ element(v2, v0)) & ! [v2] : (element(v2, v1) | element(v2, v0))) % 7.11/2.88 | (2) ? [v0] : ( ! [v1] : ( ~ element(v1, v1) | element(v1, v0)) & ! [v1] : ( ~ element(v1, v0) | element(v1, v1))) % 7.11/2.88 | % 7.11/2.88 | Instantiating (2) with all_0_0_0 yields: % 7.11/2.88 | (3) ! [v0] : ( ~ element(v0, v0) | element(v0, all_0_0_0)) & ! [v0] : ( ~ element(v0, all_0_0_0) | element(v0, v0)) % 7.11/2.88 | % 7.11/2.88 | Applying alpha-rule on (3) yields: % 7.11/2.88 | (4) ! [v0] : ( ~ element(v0, v0) | element(v0, all_0_0_0)) % 7.11/2.88 | (5) ! [v0] : ( ~ element(v0, all_0_0_0) | element(v0, v0)) % 7.11/2.88 | % 7.11/2.88 | Introducing new symbol ex_4_0_1 defined by: % 7.11/2.88 | (6) ex_4_0_1 = all_0_0_0 % 7.11/2.88 | % 7.11/2.88 | Instantiating formula (1) with ex_4_0_1 yields: % 7.11/2.88 | (7) ? [v0] : ( ! [v1] : ( ~ element(v1, v0) | ~ element(v1, ex_4_0_1)) & ! [v1] : (element(v1, v0) | element(v1, ex_4_0_1))) % 7.11/2.88 | % 7.11/2.88 | Instantiating (7) with all_5_0_2 yields: % 7.11/2.88 | (8) ! [v0] : ( ~ element(v0, all_5_0_2) | ~ element(v0, ex_4_0_1)) & ! [v0] : (element(v0, all_5_0_2) | element(v0, ex_4_0_1)) % 7.11/2.88 | % 7.11/2.88 | Applying alpha-rule on (8) yields: % 7.11/2.88 | (9) ! [v0] : ( ~ element(v0, all_5_0_2) | ~ element(v0, ex_4_0_1)) % 7.11/2.88 | (10) ! [v0] : (element(v0, all_5_0_2) | element(v0, ex_4_0_1)) % 7.11/2.88 | % 7.11/2.88 | Introducing new symbol ex_14_0_5 defined by: % 7.11/2.88 | (11) ex_14_0_5 = all_5_0_2 % 7.11/2.88 | % 7.11/2.88 | Instantiating formula (10) with ex_14_0_5 yields: % 7.11/2.88 | (12) element(ex_14_0_5, all_5_0_2) | element(ex_14_0_5, ex_4_0_1) % 7.11/2.88 | % 7.11/2.88 +-Applying beta-rule and splitting (12), into two cases. % 7.11/2.88 |-Branch one: % 7.11/2.88 | (13) element(ex_14_0_5, all_5_0_2) % 7.11/2.88 | % 7.11/2.88 | Instantiating formula (9) with ex_14_0_5 and discharging atoms element(ex_14_0_5, all_5_0_2), yields: % 7.11/2.89 | (14) ~ element(ex_14_0_5, ex_4_0_1) % 7.11/2.89 | % 7.11/2.89 | Instantiating formula (4) with all_5_0_2 yields: % 7.11/2.89 | (15) ~ element(all_5_0_2, all_5_0_2) | element(all_5_0_2, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 +-Applying beta-rule and splitting (15), into two cases. % 7.11/2.89 |-Branch one: % 7.11/2.89 | (16) ~ element(all_5_0_2, all_5_0_2) % 7.11/2.89 | % 7.11/2.89 | From (11) and (13) follows: % 7.11/2.89 | (17) element(all_5_0_2, all_5_0_2) % 7.11/2.89 | % 7.11/2.89 | Using (17) and (16) yields: % 7.11/2.89 | (18) $false % 7.11/2.89 | % 7.11/2.89 |-The branch is then unsatisfiable % 7.11/2.89 |-Branch two: % 7.11/2.89 | (19) element(all_5_0_2, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 | From (11)(6) and (14) follows: % 7.11/2.89 | (20) ~ element(all_5_0_2, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 | Using (19) and (20) yields: % 7.11/2.89 | (18) $false % 7.11/2.89 | % 7.11/2.89 |-The branch is then unsatisfiable % 7.11/2.89 |-Branch two: % 7.11/2.89 | (22) ~ element(ex_14_0_5, all_5_0_2) % 7.11/2.89 | (23) element(ex_14_0_5, ex_4_0_1) % 7.11/2.89 | % 7.11/2.89 | Instantiating formula (5) with ex_14_0_5 yields: % 7.11/2.89 | (24) ~ element(ex_14_0_5, all_0_0_0) | element(ex_14_0_5, ex_14_0_5) % 7.11/2.89 | % 7.11/2.89 +-Applying beta-rule and splitting (24), into two cases. % 7.11/2.89 |-Branch one: % 7.11/2.89 | (25) ~ element(ex_14_0_5, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 | From (11)(6) and (23) follows: % 7.11/2.89 | (19) element(all_5_0_2, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 | From (11) and (25) follows: % 7.11/2.89 | (20) ~ element(all_5_0_2, all_0_0_0) % 7.11/2.89 | % 7.11/2.89 | Using (19) and (20) yields: % 7.11/2.89 | (18) $false % 7.11/2.89 | % 7.11/2.89 |-The branch is then unsatisfiable % 7.11/2.89 |-Branch two: % 7.11/2.89 | (29) element(ex_14_0_5, ex_14_0_5) % 7.11/2.89 | % 7.11/2.89 | From (11)(11) and (29) follows: % 7.11/2.89 | (17) element(all_5_0_2, all_5_0_2) % 7.11/2.89 | % 7.11/2.89 | From (11) and (22) follows: % 7.11/2.89 | (16) ~ element(all_5_0_2, all_5_0_2) % 7.11/2.89 | % 7.11/2.89 | Using (17) and (16) yields: % 7.11/2.89 | (18) $false % 7.11/2.89 | % 7.11/2.89 |-The branch is then unsatisfiable % 7.11/2.89 % SZS output end Proof for theBenchmark % 7.11/2.89 % 7.11/2.89 2259ms %------------------------------------------------------------------------------