%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 05:02:03 EDT 2022 % Result : Theorem 1.31s 0.91s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 20:49:14 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.57 ____ _ % 0.19/0.57 ___ / __ \_____(_)___ ________ __________ % 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.57 % 0.19/0.57 A Theorem Prover for First-Order Logic % 0.19/0.57 (ePrincess v.1.0) % 0.19/0.57 % 0.19/0.57 (c) Philipp Rümmer, 2009-2015 % 0.19/0.57 (c) Peter Backeman, 2014-2015 % 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.57 Bug reports to peter@backeman.se % 0.19/0.57 % 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.57 % 0.19/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.07/0.84 Prover 0: Preprocessing ... % 1.26/0.87 Prover 0: Constructing countermodel ... % 1.31/0.91 Prover 0: proved (291ms) % 1.31/0.91 % 1.31/0.91 No countermodel exists, formula is valid % 1.31/0.91 % SZS status Theorem for theBenchmark % 1.31/0.91 % 1.31/0.91 Generating proof ... found it (size 15) % 1.42/0.99 % 1.42/0.99 % SZS output start Proof for theBenchmark % 1.42/0.99 Assumed formulas after preprocessing and simplification: % 1.42/0.99 | (0) ( ~ p2 | ~ p1) & ( ~ p2 | p1) & ( ~ p1 | p2) & (p2 | p1) % 1.42/0.99 | Applying alpha-rule on (0) yields: % 1.42/0.99 | (1) ~ p2 | ~ p1 % 1.42/0.99 | (2) ~ p2 | p1 % 1.42/0.99 | (3) ~ p1 | p2 % 1.42/0.99 | (4) p2 | p1 % 1.42/1.00 | % 1.42/1.00 +-Applying beta-rule and splitting (4), into two cases. % 1.42/1.00 |-Branch one: % 1.42/1.00 | (5) p2 % 1.42/1.00 | % 1.42/1.00 +-Applying beta-rule and splitting (2), into two cases. % 1.42/1.00 |-Branch one: % 1.42/1.00 | (6) ~ p2 % 1.42/1.00 | % 1.42/1.00 | Using (5) and (6) yields: % 1.42/1.00 | (7) $false % 1.42/1.00 | % 1.42/1.00 |-The branch is then unsatisfiable % 1.42/1.00 |-Branch two: % 1.42/1.00 | (5) p2 % 1.42/1.00 | (9) p1 % 1.42/1.00 | % 1.42/1.00 +-Applying beta-rule and splitting (1), into two cases. % 1.42/1.00 |-Branch one: % 1.42/1.00 | (6) ~ p2 % 1.42/1.00 | % 1.42/1.00 | Using (5) and (6) yields: % 1.42/1.00 | (7) $false % 1.42/1.00 | % 1.42/1.00 |-The branch is then unsatisfiable % 1.42/1.00 |-Branch two: % 1.42/1.00 | (5) p2 % 1.42/1.00 | (13) ~ p1 % 1.42/1.00 | % 1.42/1.00 | Using (9) and (13) yields: % 1.42/1.00 | (7) $false % 1.42/1.00 | % 1.42/1.00 |-The branch is then unsatisfiable % 1.42/1.00 |-Branch two: % 1.42/1.00 | (6) ~ p2 % 1.42/1.00 | (9) p1 % 1.42/1.00 | % 1.42/1.00 +-Applying beta-rule and splitting (3), into two cases. % 1.42/1.00 |-Branch one: % 1.42/1.00 | (13) ~ p1 % 1.42/1.00 | % 1.42/1.00 | Using (9) and (13) yields: % 1.42/1.00 | (7) $false % 1.42/1.00 | % 1.42/1.00 |-The branch is then unsatisfiable % 1.42/1.00 |-Branch two: % 1.42/1.00 | (9) p1 % 1.42/1.00 | (5) p2 % 1.42/1.00 | % 1.42/1.00 | Using (5) and (6) yields: % 1.42/1.00 | (7) $false % 1.42/1.00 | % 1.42/1.00 |-The branch is then unsatisfiable % 1.42/1.00 % SZS output end Proof for theBenchmark % 1.42/1.00 % 1.42/1.00 425ms %------------------------------------------------------------------------------