%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 00:20:59 EDT 2022 % Result : Theorem 2.76s 1.42s % Output : Proof 3.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET629+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jul 10 10:05:01 EDT 2022 % 0.13/0.36 % CPUTime : % 0.60/0.61 ____ _ % 0.60/0.61 ___ / __ \_____(_)___ ________ __________ % 0.60/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.60/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.60/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.60/0.61 % 0.60/0.61 A Theorem Prover for First-Order Logic % 0.60/0.61 (ePrincess v.1.0) % 0.60/0.61 % 0.60/0.61 (c) Philipp Rümmer, 2009-2015 % 0.60/0.61 (c) Peter Backeman, 2014-2015 % 0.60/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.60/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.60/0.61 Bug reports to peter@backeman.se % 0.60/0.61 % 0.60/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.60/0.61 % 0.60/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.40/0.94 Prover 0: Preprocessing ... % 1.81/1.10 Prover 0: Warning: ignoring some quantifiers % 1.81/1.13 Prover 0: Constructing countermodel ... % 2.27/1.25 Prover 0: gave up % 2.27/1.25 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.27/1.27 Prover 1: Preprocessing ... % 2.56/1.36 Prover 1: Warning: ignoring some quantifiers % 2.56/1.36 Prover 1: Constructing countermodel ... % 2.76/1.42 Prover 1: proved (168ms) % 2.76/1.42 % 2.76/1.42 No countermodel exists, formula is valid % 2.76/1.42 % SZS status Theorem for theBenchmark % 2.76/1.42 % 2.76/1.42 Generating proof ... Warning: ignoring some quantifiers % 3.69/1.67 found it (size 17) % 3.69/1.67 % 3.69/1.67 % SZS output start Proof for theBenchmark % 3.69/1.67 Assumed formulas after preprocessing and simplification: % 3.69/1.67 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & disjoint(v2, v3) = v4 & difference(v0, v1) = v3 & intersection(v0, v1) = v2 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (difference(v5, v6) = v8) | ~ (member(v7, v8) = v9) | ? [v10] : ? [v11] : (member(v7, v6) = v11 & member(v7, v5) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (intersection(v5, v6) = v8) | ~ (member(v7, v8) = v9) | ? [v10] : ? [v11] : (member(v7, v6) = v11 & member(v7, v5) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = 0 | ~ (intersect(v5, v6) = v7) | ~ (member(v8, v5) = 0) | ? [v9] : ( ~ (v9 = 0) & member(v8, v6) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (disjoint(v8, v7) = v6) | ~ (disjoint(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (intersect(v8, v7) = v6) | ~ (intersect(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (difference(v8, v7) = v6) | ~ (difference(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (intersection(v8, v7) = v6) | ~ (intersection(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (member(v8, v7) = v6) | ~ (member(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (difference(v5, v6) = v8) | ~ (member(v7, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & member(v7, v6) = v9 & member(v7, v5) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection(v5, v6) = v8) | ~ (member(v7, v8) = 0) | (member(v7, v6) = 0 & member(v7, v5) = 0)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (disjoint(v5, v6) = v7) | intersect(v5, v6) = 0) & ! [v5] : ! [v6] : ! [v7] : ( ~ (intersection(v5, v6) = v7) | intersection(v6, v5) = v7) & ! [v5] : ! [v6] : ( ~ (disjoint(v5, v6) = 0) | ? [v7] : ( ~ (v7 = 0) & intersect(v5, v6) = v7)) & ! [v5] : ! [v6] : ( ~ (intersect(v5, v6) = 0) | intersect(v6, v5) = 0) & ! [v5] : ! [v6] : ( ~ (intersect(v5, v6) = 0) | ? [v7] : (member(v7, v6) = 0 & member(v7, v5) = 0)) & ? [v5] : ? [v6] : (v6 = v5 | ? [v7] : ? [v8] : ? [v9] : (member(v7, v6) = v9 & member(v7, v5) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0)))) % 3.97/1.70 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 3.97/1.70 | (1) ~ (all_0_0_0 = 0) & disjoint(all_0_2_2, all_0_1_1) = all_0_0_0 & difference(all_0_4_4, all_0_3_3) = all_0_1_1 & intersection(all_0_4_4, all_0_3_3) = all_0_2_2 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : (member(v2, v1) = v6 & member(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : (member(v2, v1) = v6 & member(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (intersect(v0, v1) = v2) | ~ (member(v3, v0) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersect(v3, v2) = v1) | ~ (intersect(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4 & member(v2, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ (member(v2, v3) = 0) | (member(v2, v1) = 0 & member(v2, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | intersect(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) & ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & intersect(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (intersect(v0, v1) = 0) | intersect(v1, v0) = 0) & ! [v0] : ! [v1] : ( ~ (intersect(v0, v1) = 0) | ? [v2] : (member(v2, v1) = 0 & member(v2, v0) = 0)) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (member(v2, v1) = v4 & member(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) % 3.97/1.72 | % 3.97/1.72 | Applying alpha-rule on (1) yields: % 3.97/1.72 | (2) ! [v0] : ! [v1] : ( ~ (intersect(v0, v1) = 0) | intersect(v1, v0) = 0) % 3.97/1.72 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 3.97/1.72 | (4) intersection(all_0_4_4, all_0_3_3) = all_0_2_2 % 3.97/1.72 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v0, v1) = v3) | ~ (member(v2, v3) = 0) | (member(v2, v1) = 0 & member(v2, v0) = 0)) % 3.97/1.72 | (6) ~ (all_0_0_0 = 0) % 3.97/1.72 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4 & member(v2, v0) = 0)) % 3.97/1.72 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection(v0, v1) = v2) | intersection(v1, v0) = v2) % 3.97/1.72 | (9) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : (member(v2, v1) = v4 & member(v2, v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)) & (v4 = 0 | v3 = 0))) % 3.97/1.72 | (10) ! [v0] : ! [v1] : ( ~ (disjoint(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & intersect(v0, v1) = v2)) % 3.97/1.72 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersect(v3, v2) = v1) | ~ (intersect(v3, v2) = v0)) % 3.97/1.72 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 3.97/1.72 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : (member(v2, v1) = v6 & member(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 3.97/1.72 | (14) difference(all_0_4_4, all_0_3_3) = all_0_1_1 % 3.97/1.72 | (15) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disjoint(v0, v1) = v2) | intersect(v0, v1) = 0) % 3.97/1.72 | (16) disjoint(all_0_2_2, all_0_1_1) = all_0_0_0 % 3.97/1.72 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) % 3.97/1.72 | (18) ! [v0] : ! [v1] : ( ~ (intersect(v0, v1) = 0) | ? [v2] : (member(v2, v1) = 0 & member(v2, v0) = 0)) % 3.97/1.73 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 3.97/1.73 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (intersect(v0, v1) = v2) | ~ (member(v3, v0) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4)) % 3.97/1.73 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v0, v1) = v3) | ~ (member(v2, v3) = v4) | ? [v5] : ? [v6] : (member(v2, v1) = v6 & member(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 3.97/1.73 | % 3.97/1.73 | Instantiating formula (15) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms disjoint(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 3.97/1.73 | (22) all_0_0_0 = 0 | intersect(all_0_2_2, all_0_1_1) = 0 % 3.97/1.73 | % 3.97/1.73 +-Applying beta-rule and splitting (22), into two cases. % 3.97/1.73 |-Branch one: % 3.97/1.73 | (23) intersect(all_0_2_2, all_0_1_1) = 0 % 3.97/1.73 | % 3.97/1.73 | Instantiating formula (18) with all_0_1_1, all_0_2_2 and discharging atoms intersect(all_0_2_2, all_0_1_1) = 0, yields: % 3.97/1.73 | (24) ? [v0] : (member(v0, all_0_1_1) = 0 & member(v0, all_0_2_2) = 0) % 3.97/1.73 | % 3.97/1.73 | Instantiating (24) with all_20_0_7 yields: % 3.97/1.73 | (25) member(all_20_0_7, all_0_1_1) = 0 & member(all_20_0_7, all_0_2_2) = 0 % 3.97/1.73 | % 3.97/1.73 | Applying alpha-rule on (25) yields: % 3.97/1.73 | (26) member(all_20_0_7, all_0_1_1) = 0 % 3.97/1.73 | (27) member(all_20_0_7, all_0_2_2) = 0 % 3.97/1.73 | % 3.97/1.73 | Instantiating formula (7) with all_0_1_1, all_20_0_7, all_0_3_3, all_0_4_4 and discharging atoms difference(all_0_4_4, all_0_3_3) = all_0_1_1, member(all_20_0_7, all_0_1_1) = 0, yields: % 3.97/1.73 | (28) ? [v0] : ( ~ (v0 = 0) & member(all_20_0_7, all_0_3_3) = v0 & member(all_20_0_7, all_0_4_4) = 0) % 3.97/1.73 | % 3.97/1.73 | Instantiating formula (5) with all_0_2_2, all_20_0_7, all_0_3_3, all_0_4_4 and discharging atoms intersection(all_0_4_4, all_0_3_3) = all_0_2_2, member(all_20_0_7, all_0_2_2) = 0, yields: % 3.97/1.73 | (29) member(all_20_0_7, all_0_3_3) = 0 & member(all_20_0_7, all_0_4_4) = 0 % 3.97/1.73 | % 3.97/1.73 | Applying alpha-rule on (29) yields: % 3.97/1.73 | (30) member(all_20_0_7, all_0_3_3) = 0 % 3.97/1.73 | (31) member(all_20_0_7, all_0_4_4) = 0 % 3.97/1.73 | % 3.97/1.73 | Instantiating (28) with all_28_0_8 yields: % 3.97/1.73 | (32) ~ (all_28_0_8 = 0) & member(all_20_0_7, all_0_3_3) = all_28_0_8 & member(all_20_0_7, all_0_4_4) = 0 % 3.97/1.73 | % 3.97/1.73 | Applying alpha-rule on (32) yields: % 3.97/1.73 | (33) ~ (all_28_0_8 = 0) % 3.97/1.73 | (34) member(all_20_0_7, all_0_3_3) = all_28_0_8 % 3.97/1.73 | (31) member(all_20_0_7, all_0_4_4) = 0 % 3.97/1.73 | % 3.97/1.73 | Instantiating formula (12) with all_20_0_7, all_0_3_3, all_28_0_8, 0 and discharging atoms member(all_20_0_7, all_0_3_3) = all_28_0_8, member(all_20_0_7, all_0_3_3) = 0, yields: % 3.97/1.73 | (36) all_28_0_8 = 0 % 3.97/1.73 | % 3.97/1.73 | Equations (36) can reduce 33 to: % 3.97/1.73 | (37) $false % 3.97/1.73 | % 3.97/1.73 |-The branch is then unsatisfiable % 3.97/1.73 |-Branch two: % 3.97/1.73 | (38) ~ (intersect(all_0_2_2, all_0_1_1) = 0) % 3.97/1.74 | (39) all_0_0_0 = 0 % 3.97/1.74 | % 3.97/1.74 | Equations (39) can reduce 6 to: % 3.97/1.74 | (37) $false % 3.97/1.74 | % 3.97/1.74 |-The branch is then unsatisfiable % 3.97/1.74 % SZS output end Proof for theBenchmark % 3.97/1.74 % 3.97/1.74 1116ms %------------------------------------------------------------------------------