%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.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 : Thu Jul 21 05:05:51 EDT 2022 % Result : Theorem 1.44s 1.02s % Output : Proof 2.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 04:24:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.53/0.57 ____ _ % 0.53/0.57 ___ / __ \_____(_)___ ________ __________ % 0.53/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.57 % 0.53/0.57 A Theorem Prover for First-Order Logic % 0.53/0.57 (ePrincess v.1.0) % 0.53/0.57 % 0.53/0.57 (c) Philipp Rümmer, 2009-2015 % 0.53/0.57 (c) Peter Backeman, 2014-2015 % 0.53/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.57 Bug reports to peter@backeman.se % 0.53/0.57 % 0.53/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.57 % 0.53/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.53/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.20/0.88 Prover 0: Preprocessing ... % 1.37/0.94 Prover 0: Constructing countermodel ... % 1.44/1.02 Prover 0: proved (393ms) % 1.44/1.02 % 1.44/1.02 No countermodel exists, formula is valid % 1.44/1.02 % SZS status Theorem for theBenchmark % 1.44/1.02 % 1.44/1.02 Generating proof ... found it (size 5) % 1.84/1.13 % 1.84/1.13 % SZS output start Proof for theBenchmark % 1.84/1.13 Assumed formulas after preprocessing and simplification: % 1.84/1.13 | (0) ? [v0] : ? [v1] : (r(v0, v1) & ~ r(v0, v0) & ! [v2] : ! [v3] : ! [v4] : ( ~ r(v3, v4) | ~ r(v2, v3) | r(v2, v4)) & ! [v2] : ! [v3] : ( ~ r(v2, v3) | r(v3, v2))) % 1.84/1.13 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 1.84/1.13 | (1) r(all_0_1_1, all_0_0_0) & ~ r(all_0_1_1, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ( ~ r(v1, v2) | ~ r(v0, v1) | r(v0, v2)) & ! [v0] : ! [v1] : ( ~ r(v0, v1) | r(v1, v0)) % 2.02/1.14 | % 2.02/1.14 | Applying alpha-rule on (1) yields: % 2.02/1.14 | (2) r(all_0_1_1, all_0_0_0) % 2.02/1.14 | (3) ~ r(all_0_1_1, all_0_1_1) % 2.02/1.14 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ r(v1, v2) | ~ r(v0, v1) | r(v0, v2)) % 2.02/1.14 | (5) ! [v0] : ! [v1] : ( ~ r(v0, v1) | r(v1, v0)) % 2.02/1.14 | % 2.02/1.14 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms r(all_0_1_1, all_0_0_0), yields: % 2.02/1.14 | (6) r(all_0_0_0, all_0_1_1) % 2.02/1.14 | % 2.02/1.14 | Instantiating formula (4) with all_0_1_1, all_0_0_0, all_0_1_1 and discharging atoms r(all_0_0_0, all_0_1_1), r(all_0_1_1, all_0_0_0), ~ r(all_0_1_1, all_0_1_1), yields: % 2.02/1.14 | (7) $false % 2.02/1.14 | % 2.02/1.14 |-The branch is then unsatisfiable % 2.02/1.14 % SZS output end Proof for theBenchmark % 2.02/1.14 % 2.02/1.14 560ms %------------------------------------------------------------------------------