%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET875+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n003.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 00:22:51 EDT 2022 % Result : Theorem 1.75s 1.12s % Output : Proof 2.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SET875+1 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n003.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 : 600 % 0.14/0.34 % DateTime : Mon Jul 11 00:39:29 EDT 2022 % 0.14/0.34 % CPUTime : % 0.53/0.59 ____ _ % 0.53/0.59 ___ / __ \_____(_)___ ________ __________ % 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.59/0.59 % 0.59/0.59 A Theorem Prover for First-Order Logic % 0.59/0.60 (ePrincess v.1.0) % 0.59/0.60 % 0.59/0.60 (c) Philipp Rümmer, 2009-2015 % 0.59/0.60 (c) Peter Backeman, 2014-2015 % 0.59/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.60 Bug reports to peter@backeman.se % 0.59/0.60 % 0.59/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.60 % 0.59/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.23/0.89 Prover 0: Preprocessing ... % 1.54/1.01 Prover 0: Warning: ignoring some quantifiers % 1.54/1.03 Prover 0: Constructing countermodel ... % 1.75/1.12 Prover 0: proved (470ms) % 1.75/1.12 % 1.75/1.12 No countermodel exists, formula is valid % 1.75/1.12 % SZS status Theorem for theBenchmark % 1.75/1.12 % 1.75/1.12 Generating proof ... Warning: ignoring some quantifiers % 2.26/1.27 found it (size 8) % 2.26/1.27 % 2.26/1.27 % SZS output start Proof for theBenchmark % 2.26/1.27 Assumed formulas after preprocessing and simplification: % 2.26/1.27 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (singleton(v0) = v2 & singleton(v0) = v1 & empty(v4) & disjoint(v1, v2) & ~ empty(v3) & ! [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (singleton(v5) = v6) | ~ in(v7, v6)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (singleton(v7) = v6) | ~ (singleton(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (singleton(v5) = v7) | ~ disjoint(v7, v6) | ~ in(v5, v6)) & ? [v5] : ! [v6] : ! [v7] : (v7 = v5 | ~ (singleton(v6) = v7) | ? [v8] : (( ~ (v8 = v6) | ~ in(v6, v5)) & (v8 = v6 | in(v8, v5)))) & ! [v5] : ! [v6] : ( ~ (singleton(v5) = v6) | in(v5, v6)) & ! [v5] : ! [v6] : ( ~ disjoint(v5, v6) | disjoint(v6, v5)) & ! [v5] : ! [v6] : ( ~ in(v6, v5) | ~ in(v5, v6))) % 2.26/1.31 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 2.26/1.31 | (1) singleton(all_0_4_4) = all_0_2_2 & singleton(all_0_4_4) = all_0_3_3 & empty(all_0_0_0) & disjoint(all_0_3_3, all_0_2_2) & ~ empty(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ in(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ disjoint(v2, v1) | ~ in(v0, v1)) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : (( ~ (v3 = v1) | ~ in(v1, v0)) & (v3 = v1 | in(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1)) & ! [v0] : ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0)) & ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) % 2.26/1.31 | % 2.26/1.31 | Applying alpha-rule on (1) yields: % 2.26/1.31 | (2) empty(all_0_0_0) % 2.26/1.31 | (3) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | in(v0, v1)) % 2.26/1.31 | (4) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v1) = v2) | ? [v3] : (( ~ (v3 = v1) | ~ in(v1, v0)) & (v3 = v1 | in(v3, v0)))) % 2.26/1.31 | (5) ~ empty(all_0_1_1) % 2.26/1.31 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 2.26/1.31 | (7) ! [v0] : ! [v1] : ( ~ disjoint(v0, v1) | disjoint(v1, v0)) % 2.26/1.31 | (8) disjoint(all_0_3_3, all_0_2_2) % 2.26/1.32 | (9) singleton(all_0_4_4) = all_0_3_3 % 2.26/1.32 | (10) singleton(all_0_4_4) = all_0_2_2 % 2.26/1.32 | (11) ! [v0] : ! [v1] : ( ~ in(v1, v0) | ~ in(v0, v1)) % 2.26/1.32 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (singleton(v0) = v2) | ~ disjoint(v2, v1) | ~ in(v0, v1)) % 2.26/1.32 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (singleton(v0) = v1) | ~ in(v2, v1)) % 2.26/1.32 | % 2.26/1.32 | Instantiating formula (6) with all_0_4_4, all_0_3_3, all_0_2_2 and discharging atoms singleton(all_0_4_4) = all_0_2_2, singleton(all_0_4_4) = all_0_3_3, yields: % 2.26/1.32 | (14) all_0_2_2 = all_0_3_3 % 2.42/1.32 | % 2.42/1.32 | From (14) and (10) follows: % 2.42/1.32 | (9) singleton(all_0_4_4) = all_0_3_3 % 2.42/1.32 | % 2.42/1.32 | From (14) and (8) follows: % 2.42/1.32 | (16) disjoint(all_0_3_3, all_0_3_3) % 2.42/1.32 | % 2.42/1.32 | Instantiating formula (3) with all_0_3_3, all_0_4_4 and discharging atoms singleton(all_0_4_4) = all_0_3_3, yields: % 2.42/1.32 | (17) in(all_0_4_4, all_0_3_3) % 2.42/1.32 | % 2.42/1.32 | Instantiating formula (12) with all_0_3_3, all_0_3_3, all_0_4_4 and discharging atoms singleton(all_0_4_4) = all_0_3_3, disjoint(all_0_3_3, all_0_3_3), in(all_0_4_4, all_0_3_3), yields: % 2.42/1.32 | (18) $false % 2.42/1.32 | % 2.42/1.32 |-The branch is then unsatisfiable % 2.42/1.32 % SZS output end Proof for theBenchmark % 2.42/1.32 % 2.42/1.32 716ms %------------------------------------------------------------------------------