%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 : Mon Jul 18 18:08:54 EDT 2022 % Result : Theorem 2.86s 1.35s % Output : Proof 3.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n020.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 May 29 01:02:24 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.59 ____ _ % 0.20/0.59 ___ / __ \_____(_)___ ________ __________ % 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic % 0.20/0.59 (ePrincess v.1.0) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2015 % 0.20/0.59 (c) Peter Backeman, 2014-2015 % 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.20/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.20/0.59 Bug reports to peter@backeman.se % 0.20/0.59 % 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.20/0.59 % 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.76/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.35/0.87 Prover 0: Preprocessing ... % 1.43/0.93 Prover 0: Warning: ignoring some quantifiers % 1.52/0.95 Prover 0: Constructing countermodel ... % 1.93/1.07 Prover 0: gave up % 1.93/1.07 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 1.93/1.09 Prover 1: Preprocessing ... % 1.93/1.16 Prover 1: Constructing countermodel ... % 2.41/1.23 Prover 1: gave up % 2.41/1.23 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.41/1.24 Prover 2: Preprocessing ... % 2.56/1.29 Prover 2: Warning: ignoring some quantifiers % 2.56/1.30 Prover 2: Constructing countermodel ... % 2.86/1.35 Prover 2: proved (125ms) % 2.86/1.35 % 2.86/1.35 No countermodel exists, formula is valid % 2.86/1.35 % SZS status Theorem for theBenchmark % 2.86/1.35 % 2.86/1.35 Generating proof ... Warning: ignoring some quantifiers % 3.39/1.53 found it (size 22) % 3.39/1.53 % 3.39/1.53 % SZS output start Proof for theBenchmark % 3.39/1.53 Assumed formulas after preprocessing and simplification: % 3.39/1.53 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = 0) & alive(v2) = 0 & eats(v2, v0) = 0 & likes(v1, v0) = v6 & food(v5) = 0 & food(v4) = 0 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (not_killed_by(v10, v9) = v8) | ~ (not_killed_by(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (eats(v10, v9) = v8) | ~ (eats(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (likes(v10, v9) = v8) | ~ (likes(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (alive(v7) = 0) | ~ (not_killed_by(v7, v8) = v9)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (alive(v9) = v8) | ~ (alive(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (food(v9) = v8) | ~ (food(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (not_killed_by(v9, v7) = 0) | ~ (food(v7) = v8) | ? [v10] : ( ~ (v10 = 0) & eats(v9, v7) = v10)) & ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (eats(v9, v7) = 0) | ~ (food(v7) = v8) | ? [v10] : ( ~ (v10 = 0) & not_killed_by(v9, v7) = v10)) & ! [v7] : ! [v8] : (v8 = 0 | ~ (eats(v3, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & eats(v2, v7) = v9)) & ! [v7] : ! [v8] : (v8 = 0 | ~ (likes(v1, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & food(v7) = v9)) & ! [v7] : ( ~ (eats(v2, v7) = 0) | eats(v3, v7) = 0) & ! [v7] : ( ~ (food(v7) = 0) | likes(v1, v7) = 0) & ? [v7] : ? [v8] : ? [v9] : not_killed_by(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : eats(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : likes(v8, v7) = v9 & ? [v7] : ? [v8] : alive(v7) = v8 & ? [v7] : ? [v8] : food(v7) = v8) % 3.49/1.56 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 yields: % 3.49/1.56 | (1) ~ (all_0_0_0 = 0) & alive(all_0_4_4) = 0 & eats(all_0_4_4, all_0_6_6) = 0 & likes(all_0_5_5, all_0_6_6) = all_0_0_0 & food(all_0_1_1) = 0 & food(all_0_2_2) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (not_killed_by(v3, v2) = v1) | ~ (not_killed_by(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (eats(v3, v2) = v1) | ~ (eats(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (likes(v3, v2) = v1) | ~ (likes(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (alive(v0) = 0) | ~ (not_killed_by(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (alive(v2) = v1) | ~ (alive(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (food(v2) = v1) | ~ (food(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (not_killed_by(v2, v0) = 0) | ~ (food(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & eats(v2, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (eats(v2, v0) = 0) | ~ (food(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & not_killed_by(v2, v0) = v3)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (eats(all_0_3_3, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & eats(all_0_4_4, v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (likes(all_0_5_5, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & food(v0) = v2)) & ! [v0] : ( ~ (eats(all_0_4_4, v0) = 0) | eats(all_0_3_3, v0) = 0) & ! [v0] : ( ~ (food(v0) = 0) | likes(all_0_5_5, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : not_killed_by(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : eats(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : likes(v1, v0) = v2 & ? [v0] : ? [v1] : alive(v0) = v1 & ? [v0] : ? [v1] : food(v0) = v1 % 3.49/1.57 | % 3.49/1.57 | Applying alpha-rule on (1) yields: % 3.49/1.57 | (2) ? [v0] : ? [v1] : ? [v2] : eats(v1, v0) = v2 % 3.49/1.57 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (likes(v3, v2) = v1) | ~ (likes(v3, v2) = v0)) % 3.49/1.57 | (4) ? [v0] : ? [v1] : ? [v2] : likes(v1, v0) = v2 % 3.49/1.57 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (not_killed_by(v3, v2) = v1) | ~ (not_killed_by(v3, v2) = v0)) % 3.49/1.57 | (6) ! [v0] : ( ~ (eats(all_0_4_4, v0) = 0) | eats(all_0_3_3, v0) = 0) % 3.49/1.57 | (7) alive(all_0_4_4) = 0 % 3.49/1.57 | (8) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (alive(v0) = 0) | ~ (not_killed_by(v0, v1) = v2)) % 3.49/1.57 | (9) ~ (all_0_0_0 = 0) % 3.49/1.57 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (alive(v2) = v1) | ~ (alive(v2) = v0)) % 3.49/1.57 | (11) ? [v0] : ? [v1] : ? [v2] : not_killed_by(v1, v0) = v2 % 3.49/1.57 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (eats(v2, v0) = 0) | ~ (food(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & not_killed_by(v2, v0) = v3)) % 3.49/1.57 | (13) ! [v0] : ( ~ (food(v0) = 0) | likes(all_0_5_5, v0) = 0) % 3.49/1.57 | (14) food(all_0_1_1) = 0 % 3.49/1.57 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (not_killed_by(v2, v0) = 0) | ~ (food(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & eats(v2, v0) = v3)) % 3.49/1.57 | (16) eats(all_0_4_4, all_0_6_6) = 0 % 3.49/1.57 | (17) ? [v0] : ? [v1] : alive(v0) = v1 % 3.49/1.57 | (18) ! [v0] : ! [v1] : (v1 = 0 | ~ (eats(all_0_3_3, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & eats(all_0_4_4, v0) = v2)) % 3.49/1.57 | (19) likes(all_0_5_5, all_0_6_6) = all_0_0_0 % 3.49/1.57 | (20) food(all_0_2_2) = 0 % 3.49/1.57 | (21) ? [v0] : ? [v1] : food(v0) = v1 % 3.49/1.57 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (eats(v3, v2) = v1) | ~ (eats(v3, v2) = v0)) % 3.49/1.57 | (23) ! [v0] : ! [v1] : (v1 = 0 | ~ (likes(all_0_5_5, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & food(v0) = v2)) % 3.49/1.57 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (food(v2) = v1) | ~ (food(v2) = v0)) % 3.49/1.57 | % 3.49/1.57 | Instantiating formula (6) with all_0_6_6 and discharging atoms eats(all_0_4_4, all_0_6_6) = 0, yields: % 3.49/1.57 | (25) eats(all_0_3_3, all_0_6_6) = 0 % 3.49/1.57 | % 3.49/1.57 | Instantiating formula (23) with all_0_0_0, all_0_6_6 and discharging atoms likes(all_0_5_5, all_0_6_6) = all_0_0_0, yields: % 3.49/1.57 | (26) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & food(all_0_6_6) = v0) % 3.49/1.57 | % 3.49/1.57 +-Applying beta-rule and splitting (26), into two cases. % 3.49/1.57 |-Branch one: % 3.49/1.57 | (27) all_0_0_0 = 0 % 3.49/1.57 | % 3.49/1.58 | Equations (27) can reduce 9 to: % 3.49/1.58 | (28) $false % 3.49/1.58 | % 3.49/1.58 |-The branch is then unsatisfiable % 3.49/1.58 |-Branch two: % 3.49/1.58 | (9) ~ (all_0_0_0 = 0) % 3.49/1.58 | (30) ? [v0] : ( ~ (v0 = 0) & food(all_0_6_6) = v0) % 3.49/1.58 | % 3.49/1.58 | Instantiating (30) with all_23_0_20 yields: % 3.49/1.58 | (31) ~ (all_23_0_20 = 0) & food(all_0_6_6) = all_23_0_20 % 3.49/1.58 | % 3.49/1.58 | Applying alpha-rule on (31) yields: % 3.49/1.58 | (32) ~ (all_23_0_20 = 0) % 3.49/1.58 | (33) food(all_0_6_6) = all_23_0_20 % 3.49/1.58 | % 3.49/1.58 | Instantiating formula (12) with all_0_4_4, all_23_0_20, all_0_6_6 and discharging atoms eats(all_0_4_4, all_0_6_6) = 0, food(all_0_6_6) = all_23_0_20, yields: % 3.49/1.58 | (34) all_23_0_20 = 0 | ? [v0] : ( ~ (v0 = 0) & not_killed_by(all_0_4_4, all_0_6_6) = v0) % 3.49/1.58 | % 3.49/1.58 | Instantiating formula (12) with all_0_3_3, all_23_0_20, all_0_6_6 and discharging atoms eats(all_0_3_3, all_0_6_6) = 0, food(all_0_6_6) = all_23_0_20, yields: % 3.49/1.58 | (35) all_23_0_20 = 0 | ? [v0] : ( ~ (v0 = 0) & not_killed_by(all_0_3_3, all_0_6_6) = v0) % 3.49/1.58 | % 3.49/1.58 +-Applying beta-rule and splitting (35), into two cases. % 3.49/1.58 |-Branch one: % 3.49/1.58 | (36) all_23_0_20 = 0 % 3.49/1.58 | % 3.49/1.58 | Equations (36) can reduce 32 to: % 3.49/1.58 | (28) $false % 3.49/1.58 | % 3.49/1.58 |-The branch is then unsatisfiable % 3.49/1.58 |-Branch two: % 3.49/1.58 | (32) ~ (all_23_0_20 = 0) % 3.49/1.58 | (39) ? [v0] : ( ~ (v0 = 0) & not_killed_by(all_0_3_3, all_0_6_6) = v0) % 3.49/1.58 | % 3.49/1.58 +-Applying beta-rule and splitting (34), into two cases. % 3.49/1.58 |-Branch one: % 3.49/1.58 | (36) all_23_0_20 = 0 % 3.49/1.58 | % 3.49/1.58 | Equations (36) can reduce 32 to: % 3.49/1.58 | (28) $false % 3.49/1.58 | % 3.49/1.58 |-The branch is then unsatisfiable % 3.49/1.58 |-Branch two: % 3.49/1.58 | (32) ~ (all_23_0_20 = 0) % 3.49/1.58 | (43) ? [v0] : ( ~ (v0 = 0) & not_killed_by(all_0_4_4, all_0_6_6) = v0) % 3.49/1.58 | % 3.49/1.58 | Instantiating (43) with all_38_0_22 yields: % 3.49/1.58 | (44) ~ (all_38_0_22 = 0) & not_killed_by(all_0_4_4, all_0_6_6) = all_38_0_22 % 3.49/1.58 | % 3.49/1.58 | Applying alpha-rule on (44) yields: % 3.49/1.58 | (45) ~ (all_38_0_22 = 0) % 3.49/1.58 | (46) not_killed_by(all_0_4_4, all_0_6_6) = all_38_0_22 % 3.49/1.58 | % 3.49/1.58 | Instantiating formula (8) with all_38_0_22, all_0_6_6, all_0_4_4 and discharging atoms alive(all_0_4_4) = 0, not_killed_by(all_0_4_4, all_0_6_6) = all_38_0_22, yields: % 3.49/1.58 | (47) all_38_0_22 = 0 % 3.49/1.58 | % 3.49/1.58 | Equations (47) can reduce 45 to: % 3.49/1.58 | (28) $false % 3.49/1.58 | % 3.49/1.58 |-The branch is then unsatisfiable % 3.49/1.58 % SZS output end Proof for theBenchmark % 3.49/1.58 % 3.49/1.58 981ms %------------------------------------------------------------------------------