%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 05:06:07 EDT 2022 % Result : Theorem 1.52s 1.04s % Output : Proof 2.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0. % 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n024.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 : Tue Jul 12 01:24:00 EDT 2022 % 0.14/0.35 % CPUTime : % 0.65/0.64 ____ _ % 0.65/0.64 ___ / __ \_____(_)___ ________ __________ % 0.65/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.65/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.65/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.65/0.64 % 0.65/0.64 A Theorem Prover for First-Order Logic % 0.65/0.64 (ePrincess v.1.0) % 0.65/0.64 % 0.65/0.64 (c) Philipp Rümmer, 2009-2015 % 0.65/0.64 (c) Peter Backeman, 2014-2015 % 0.65/0.64 (contributions by Angelo Brillout, Peter Baumgartner) % 0.65/0.64 Free software under GNU Lesser General Public License (LGPL). % 0.65/0.64 Bug reports to peter@backeman.se % 0.65/0.64 % 0.65/0.64 For more information, visit http://user.uu.se/~petba168/breu/ % 0.65/0.64 % 0.65/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.71/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.21/0.92 Prover 0: Preprocessing ... % 1.38/0.98 Prover 0: Constructing countermodel ... % 1.52/1.04 Prover 0: proved (348ms) % 1.52/1.04 % 1.52/1.04 No countermodel exists, formula is valid % 1.52/1.04 % SZS status Theorem for theBenchmark % 1.52/1.04 % 1.52/1.04 Generating proof ... found it (size 8) % 1.73/1.14 % 1.73/1.14 % SZS output start Proof for theBenchmark % 1.73/1.14 Assumed formulas after preprocessing and simplification: % 1.73/1.14 | (0) ? [v0] : ? [v1] : ((a(v1, v0) & ! [v2] : ! [v3] : ~ a(v2, v3)) | (a(v0, v1) & ! [v2] : ! [v3] : ~ a(v3, v2))) % 1.73/1.15 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 1.73/1.15 | (1) (a(all_0_0_0, all_0_1_1) & ! [v0] : ! [v1] : ~ a(v0, v1)) | (a(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ~ a(v1, v0)) % 1.73/1.15 | % 1.73/1.15 +-Applying beta-rule and splitting (1), into two cases. % 1.73/1.15 |-Branch one: % 1.73/1.15 | (2) a(all_0_0_0, all_0_1_1) & ! [v0] : ! [v1] : ~ a(v0, v1) % 1.73/1.15 | % 1.73/1.15 | Applying alpha-rule on (2) yields: % 1.73/1.15 | (3) a(all_0_0_0, all_0_1_1) % 1.73/1.15 | (4) ! [v0] : ! [v1] : ~ a(v0, v1) % 1.73/1.15 | % 1.73/1.15 | Instantiating formula (4) with all_0_1_1, all_0_0_0 and discharging atoms a(all_0_0_0, all_0_1_1), yields: % 2.00/1.16 | (5) $false % 2.00/1.16 | % 2.00/1.16 |-The branch is then unsatisfiable % 2.00/1.16 |-Branch two: % 2.00/1.16 | (6) a(all_0_1_1, all_0_0_0) & ! [v0] : ! [v1] : ~ a(v1, v0) % 2.00/1.16 | % 2.00/1.16 | Applying alpha-rule on (6) yields: % 2.00/1.16 | (7) a(all_0_1_1, all_0_0_0) % 2.00/1.16 | (8) ! [v0] : ! [v1] : ~ a(v1, v0) % 2.00/1.16 | % 2.00/1.16 | Instantiating formula (8) with all_0_1_1, all_0_0_0 and discharging atoms a(all_0_1_1, all_0_0_0), yields: % 2.00/1.16 | (5) $false % 2.00/1.16 | % 2.00/1.16 |-The branch is then unsatisfiable % 2.00/1.16 % SZS output end Proof for theBenchmark % 2.00/1.16 % 2.00/1.16 511ms %------------------------------------------------------------------------------