%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n016.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 00:18:14 EDT 2022 % Result : Theorem 55.80s 35.83s % Output : Proof 58.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 11:01:11 EDT 2022 % 0.13/0.34 % CPUTime : % 0.58/0.58 ____ _ % 0.58/0.58 ___ / __ \_____(_)___ ________ __________ % 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.58/0.58 % 0.58/0.58 A Theorem Prover for First-Order Logic % 0.58/0.58 (ePrincess v.1.0) % 0.58/0.58 % 0.58/0.58 (c) Philipp Rümmer, 2009-2015 % 0.58/0.58 (c) Peter Backeman, 2014-2015 % 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.58/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.58/0.59 Bug reports to peter@backeman.se % 0.58/0.59 % 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.58/0.59 % 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.58/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.32/0.87 Prover 0: Preprocessing ... % 1.62/1.01 Prover 0: Warning: ignoring some quantifiers % 1.75/1.02 Prover 0: Constructing countermodel ... % 1.93/1.15 Prover 0: gave up % 1.93/1.15 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.17/1.17 Prover 1: Preprocessing ... % 2.45/1.24 Prover 1: Warning: ignoring some quantifiers % 2.46/1.24 Prover 1: Constructing countermodel ... % 2.46/1.28 Prover 1: gave up % 2.46/1.28 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.46/1.29 Prover 2: Preprocessing ... % 2.95/1.37 Prover 2: Warning: ignoring some quantifiers % 2.95/1.37 Prover 2: Constructing countermodel ... % 2.95/1.41 Prover 2: gave up % 2.95/1.41 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.95/1.42 Prover 3: Preprocessing ... % 2.95/1.45 Prover 3: Warning: ignoring some quantifiers % 2.95/1.45 Prover 3: Constructing countermodel ... % 3.38/1.48 Prover 3: gave up % 3.38/1.48 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 3.38/1.49 Prover 4: Preprocessing ... % 3.77/1.55 Prover 4: Warning: ignoring some quantifiers % 3.77/1.56 Prover 4: Constructing countermodel ... % 4.95/1.83 Prover 4: gave up % 4.95/1.83 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 4.95/1.84 Prover 5: Preprocessing ... % 4.95/1.87 Prover 5: Warning: ignoring some quantifiers % 4.95/1.87 Prover 5: Constructing countermodel ... % 5.34/1.90 Prover 5: gave up % 5.34/1.90 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 5.34/1.91 Prover 6: Preprocessing ... % 5.34/1.94 Prover 6: Warning: ignoring some quantifiers % 5.34/1.94 Prover 6: Constructing countermodel ... % 5.34/1.96 Prover 6: gave up % 5.34/1.96 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 5.34/1.96 Prover 7: Preprocessing ... % 5.68/1.98 Prover 7: Proving ... % 28.12/12.78 Prover 8: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all % 28.12/12.79 Prover 8: Preprocessing ... % 28.34/12.82 Prover 8: Proving ... % 49.45/31.31 Prover 9: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=completeFrugal % 49.45/31.33 Prover 9: Preprocessing ... % 49.45/31.35 Prover 9: Proving ... % 55.80/35.83 Prover 9: proved (4516ms) % 55.80/35.83 Prover 7: stopped % 55.80/35.83 Prover 8: stopped % 55.80/35.83 % 55.80/35.83 % SZS status Theorem for theBenchmark % 55.80/35.83 % 55.80/35.83 Generating proof ... found it (size 45) % 58.70/36.89 % 58.70/36.89 % SZS output start Proof for theBenchmark % 58.70/36.89 Assumed formulas after preprocessing and simplification: % 58.70/36.89 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & union(v0, v1) = v2 & subset(v0, v1) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (union(v6, v5) = v4) | ~ (union(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (union(v3, v4) = v6) | ~ member(v5, v6) | member(v5, v4) | member(v5, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (union(v3, v4) = v6) | ~ member(v5, v4) | member(v5, v6)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (union(v3, v4) = v6) | ~ member(v5, v3) | member(v5, v6)) & ! [v3] : ! [v4] : ! [v5] : ( ~ subset(v3, v4) | ~ member(v5, v3) | member(v5, v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ subset(v4, v3) | ~ subset(v3, v4)) & ! [v3] : ! [v4] : (v4 = v3 | ? [v5] : (( ~ member(v5, v4) | ~ member(v5, v3)) & (member(v5, v4) | member(v5, v3)))) & ! [v3] : ! [v4] : (subset(v3, v4) | ? [v5] : (member(v5, v3) & ~ member(v5, v4))) & ! [v3] : subset(v3, v3) & ! [v3] : ! [v4] : ? [v5] : (union(v4, v3) = v5 & union(v3, v4) = v5)) % 58.70/36.91 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields: % 58.70/36.91 | (1) ~ (all_0_0_0 = all_0_1_1) & union(all_0_2_2, all_0_1_1) = all_0_0_0 & subset(all_0_2_2, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1) | member(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v1) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ subset(v0, v1) | ~ member(v2, v0) | member(v2, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) & ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) & ! [v0] : subset(v0, v0) & ! [v0] : ! [v1] : ? [v2] : (union(v1, v0) = v2 & union(v0, v1) = v2) % 58.70/36.91 | % 58.70/36.91 | Applying alpha-rule on (1) yields: % 58.70/36.91 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ subset(v0, v1) | ~ member(v2, v0) | member(v2, v1)) % 58.70/36.91 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v0) | member(v2, v3)) % 58.70/36.91 | (4) ! [v0] : ! [v1] : ? [v2] : (union(v1, v0) = v2 & union(v0, v1) = v2) % 58.70/36.91 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 58.70/36.91 | (6) ! [v0] : ! [v1] : (v1 = v0 | ? [v2] : (( ~ member(v2, v1) | ~ member(v2, v0)) & (member(v2, v1) | member(v2, v0)))) % 58.70/36.91 | (7) subset(all_0_2_2, all_0_1_1) % 58.70/36.91 | (8) ~ (all_0_0_0 = all_0_1_1) % 58.70/36.91 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v1) | member(v2, v3)) % 58.70/36.91 | (10) ! [v0] : ! [v1] : (subset(v0, v1) | ? [v2] : (member(v2, v0) & ~ member(v2, v1))) % 58.70/36.91 | (11) union(all_0_2_2, all_0_1_1) = all_0_0_0 % 58.70/36.91 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v0, v1) = v3) | ~ member(v2, v3) | member(v2, v1) | member(v2, v0)) % 58.70/36.91 | (13) ! [v0] : subset(v0, v0) % 58.70/36.91 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ subset(v1, v0) | ~ subset(v0, v1)) % 58.70/36.91 | % 58.70/36.91 | Introducing new symbol ex_9_1_4 defined by: % 58.70/36.91 | (15) ex_9_1_4 = all_0_1_1 % 58.70/36.91 | % 58.70/36.91 | Introducing new symbol ex_9_0_3 defined by: % 58.70/36.91 | (16) ex_9_0_3 = all_0_0_0 % 58.70/36.91 | % 58.70/36.92 | Instantiating formula (6) with ex_9_0_3, ex_9_1_4 yields: % 58.70/36.92 | (17) ex_9_0_3 = ex_9_1_4 | ? [v0] : (( ~ member(v0, ex_9_0_3) | ~ member(v0, ex_9_1_4)) & (member(v0, ex_9_0_3) | member(v0, ex_9_1_4))) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (17), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (18) ex_9_0_3 = ex_9_1_4 % 58.70/36.92 | % 58.70/36.92 | Combining equations (16,18) yields a new equation: % 58.70/36.92 | (19) ex_9_1_4 = all_0_0_0 % 58.70/36.92 | % 58.70/36.92 | Combining equations (19,15) yields a new equation: % 58.70/36.92 | (20) all_0_0_0 = all_0_1_1 % 58.70/36.92 | % 58.70/36.92 | Simplifying 20 yields: % 58.70/36.92 | (21) all_0_0_0 = all_0_1_1 % 58.70/36.92 | % 58.70/36.92 | Equations (21) can reduce 8 to: % 58.70/36.92 | (22) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (23) ? [v0] : (( ~ member(v0, ex_9_0_3) | ~ member(v0, ex_9_1_4)) & (member(v0, ex_9_0_3) | member(v0, ex_9_1_4))) % 58.70/36.92 | % 58.70/36.92 | Instantiating (23) with all_12_0_5 yields: % 58.70/36.92 | (24) ( ~ member(all_12_0_5, ex_9_0_3) | ~ member(all_12_0_5, ex_9_1_4)) & (member(all_12_0_5, ex_9_0_3) | member(all_12_0_5, ex_9_1_4)) % 58.70/36.92 | % 58.70/36.92 | Applying alpha-rule on (24) yields: % 58.70/36.92 | (25) ~ member(all_12_0_5, ex_9_0_3) | ~ member(all_12_0_5, ex_9_1_4) % 58.70/36.92 | (26) member(all_12_0_5, ex_9_0_3) | member(all_12_0_5, ex_9_1_4) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (25), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (27) ~ member(all_12_0_5, ex_9_0_3) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (26), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (28) member(all_12_0_5, ex_9_0_3) % 58.70/36.92 | % 58.70/36.92 | Using (28) and (27) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (30) member(all_12_0_5, ex_9_1_4) % 58.70/36.92 | % 58.70/36.92 | Instantiating formula (9) with all_0_0_0, all_12_0_5, all_0_1_1, all_0_2_2 and discharging atoms union(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 58.70/36.92 | (31) ~ member(all_12_0_5, all_0_1_1) | member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (31), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (32) ~ member(all_12_0_5, all_0_1_1) % 58.70/36.92 | % 58.70/36.92 | From (15) and (30) follows: % 58.70/36.92 | (33) member(all_12_0_5, all_0_1_1) % 58.70/36.92 | % 58.70/36.92 | Using (33) and (32) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (35) member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | From (16) and (27) follows: % 58.70/36.92 | (36) ~ member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | Using (35) and (36) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (28) member(all_12_0_5, ex_9_0_3) % 58.70/36.92 | (39) ~ member(all_12_0_5, ex_9_1_4) % 58.70/36.92 | % 58.70/36.92 | Instantiating formula (12) with all_0_0_0, all_12_0_5, all_0_1_1, all_0_2_2 and discharging atoms union(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 58.70/36.92 | (40) ~ member(all_12_0_5, all_0_0_0) | member(all_12_0_5, all_0_1_1) | member(all_12_0_5, all_0_2_2) % 58.70/36.92 | % 58.70/36.92 | Instantiating formula (9) with all_0_0_0, all_12_0_5, all_0_1_1, all_0_2_2 and discharging atoms union(all_0_2_2, all_0_1_1) = all_0_0_0, yields: % 58.70/36.92 | (31) ~ member(all_12_0_5, all_0_1_1) | member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | Instantiating formula (2) with all_12_0_5, all_0_1_1, all_0_2_2 and discharging atoms subset(all_0_2_2, all_0_1_1), yields: % 58.70/36.92 | (42) ~ member(all_12_0_5, all_0_2_2) | member(all_12_0_5, all_0_1_1) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (42), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (43) ~ member(all_12_0_5, all_0_2_2) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (31), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (32) ~ member(all_12_0_5, all_0_1_1) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (40), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (36) ~ member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | From (16) and (28) follows: % 58.70/36.92 | (35) member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | Using (35) and (36) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (48) member(all_12_0_5, all_0_1_1) | member(all_12_0_5, all_0_2_2) % 58.70/36.92 | % 58.70/36.92 +-Applying beta-rule and splitting (48), into two cases. % 58.70/36.92 |-Branch one: % 58.70/36.92 | (33) member(all_12_0_5, all_0_1_1) % 58.70/36.92 | % 58.70/36.92 | Using (33) and (32) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (51) member(all_12_0_5, all_0_2_2) % 58.70/36.92 | % 58.70/36.92 | Using (51) and (43) yields: % 58.70/36.92 | (29) $false % 58.70/36.92 | % 58.70/36.92 |-The branch is then unsatisfiable % 58.70/36.92 |-Branch two: % 58.70/36.92 | (33) member(all_12_0_5, all_0_1_1) % 58.70/36.92 | (35) member(all_12_0_5, all_0_0_0) % 58.70/36.92 | % 58.70/36.92 | From (15) and (39) follows: % 58.70/36.92 | (32) ~ member(all_12_0_5, all_0_1_1) % 58.70/36.93 | % 58.70/36.93 | Using (33) and (32) yields: % 58.70/36.93 | (29) $false % 58.70/36.93 | % 58.70/36.93 |-The branch is then unsatisfiable % 58.70/36.93 |-Branch two: % 58.70/36.93 | (33) member(all_12_0_5, all_0_1_1) % 58.70/36.93 | % 58.70/36.93 | From (15) and (39) follows: % 58.70/36.93 | (32) ~ member(all_12_0_5, all_0_1_1) % 58.70/36.93 | % 58.70/36.93 | Using (33) and (32) yields: % 58.70/36.93 | (29) $false % 58.70/36.93 | % 58.70/36.93 |-The branch is then unsatisfiable % 58.70/36.93 % SZS output end Proof for theBenchmark % 58.70/36.93 % 58.70/36.93 36331ms %------------------------------------------------------------------------------