%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU150+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n013.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 08:47:01 EDT 2022 % Result : Theorem 1.88s 1.08s % Output : Proof 2.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU150+3 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.35 % Computer : n013.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 Jun 19 15:24:29 EDT 2022 % 0.13/0.36 % CPUTime : % 0.54/0.60 ____ _ % 0.54/0.60 ___ / __ \_____(_)___ ________ __________ % 0.54/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.60 % 0.54/0.60 A Theorem Prover for First-Order Logic % 0.54/0.60 (ePrincess v.1.0) % 0.54/0.60 % 0.54/0.60 (c) Philipp Rümmer, 2009-2015 % 0.54/0.60 (c) Peter Backeman, 2014-2015 % 0.54/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.60 Bug reports to peter@backeman.se % 0.54/0.60 % 0.54/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.60 % 0.54/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.23/0.87 Prover 0: Preprocessing ... % 1.52/1.00 Prover 0: Constructing countermodel ... % 1.64/1.07 Prover 0: proved (423ms) % 1.88/1.08 % 1.88/1.08 No countermodel exists, formula is valid % 1.88/1.08 % SZS status Theorem for theBenchmark % 1.88/1.08 % 1.88/1.08 Generating proof ... found it (size 9) % 2.29/1.23 % 2.29/1.23 % SZS output start Proof for theBenchmark % 2.29/1.23 Assumed formulas after preprocessing and simplification: % 2.29/1.23 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v2 = v1) & singleton(v0) = v3 & unordered_pair(v1, v2) = v3 & empty(v5) & ~ empty(v4) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (singleton(v6) = v9) | ~ (unordered_pair(v7, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (unordered_pair(v9, v8) = v7) | ~ (unordered_pair(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v8) = v7) | ~ (singleton(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v7, v6) = v8) | unordered_pair(v6, v7) = v8) & ! [v6] : ! [v7] : ! [v8] : ( ~ (unordered_pair(v6, v7) = v8) | unordered_pair(v7, v6) = v8)) % 2.38/1.27 | 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 yields: % 2.38/1.27 | (1) ~ (all_0_3_3 = all_0_4_4) & singleton(all_0_5_5) = all_0_2_2 & unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2 & empty(all_0_0_0) & ~ empty(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) % 2.38/1.27 | % 2.38/1.27 | Applying alpha-rule on (1) yields: % 2.38/1.27 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 2.38/1.27 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 2.38/1.27 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3)) % 2.38/1.27 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) % 2.38/1.27 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v1, v0) = v2) | unordered_pair(v0, v1) = v2) % 2.38/1.27 | (7) ~ empty(all_0_1_1) % 2.38/1.27 | (8) empty(all_0_0_0) % 2.38/1.28 | (9) unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2 % 2.38/1.28 | (10) ~ (all_0_3_3 = all_0_4_4) % 2.38/1.28 | (11) singleton(all_0_5_5) = all_0_2_2 % 2.38/1.28 | % 2.38/1.28 | Instantiating formula (4) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms singleton(all_0_5_5) = all_0_2_2, unordered_pair(all_0_4_4, all_0_3_3) = all_0_2_2, yields: % 2.38/1.28 | (12) all_0_4_4 = all_0_5_5 % 2.38/1.28 | % 2.38/1.28 | Equations (12) can reduce 10 to: % 2.38/1.28 | (13) ~ (all_0_3_3 = all_0_5_5) % 2.38/1.28 | % 2.38/1.28 | From (12) and (9) follows: % 2.38/1.28 | (14) unordered_pair(all_0_5_5, all_0_3_3) = all_0_2_2 % 2.38/1.28 | % 2.38/1.28 | Instantiating formula (6) with all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms unordered_pair(all_0_5_5, all_0_3_3) = all_0_2_2, yields: % 2.38/1.28 | (15) unordered_pair(all_0_3_3, all_0_5_5) = all_0_2_2 % 2.38/1.28 | % 2.38/1.28 | Instantiating formula (4) with all_0_2_2, all_0_5_5, all_0_3_3, all_0_5_5 and discharging atoms singleton(all_0_5_5) = all_0_2_2, unordered_pair(all_0_3_3, all_0_5_5) = all_0_2_2, yields: % 2.38/1.28 | (16) all_0_3_3 = all_0_5_5 % 2.38/1.28 | % 2.38/1.28 | Equations (16) can reduce 13 to: % 2.38/1.28 | (17) $false % 2.38/1.28 | % 2.38/1.28 |-The branch is then unsatisfiable % 2.38/1.28 % SZS output end Proof for theBenchmark % 2.38/1.28 % 2.38/1.28 669ms %------------------------------------------------------------------------------