%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0. % 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 05:06:02 EDT 2022 % Result : Theorem 1.52s 1.08s % Output : Proof 1.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.33 % Computer : n018.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 600 % 0.14/0.33 % DateTime : Tue Jul 12 04:39:14 EDT 2022 % 0.14/0.33 % CPUTime : % 0.63/0.64 ____ _ % 0.63/0.64 ___ / __ \_____(_)___ ________ __________ % 0.63/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.63/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.63/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.63/0.64 % 0.63/0.64 A Theorem Prover for First-Order Logic % 0.63/0.64 (ePrincess v.1.0) % 0.63/0.64 % 0.63/0.64 (c) Philipp Rümmer, 2009-2015 % 0.63/0.64 (c) Peter Backeman, 2014-2015 % 0.63/0.64 (contributions by Angelo Brillout, Peter Baumgartner) % 0.63/0.64 Free software under GNU Lesser General Public License (LGPL). % 0.63/0.64 Bug reports to peter@backeman.se % 0.63/0.64 % 0.63/0.64 For more information, visit http://user.uu.se/~petba168/breu/ % 0.63/0.64 % 0.63/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.26/0.95 Prover 0: Preprocessing ... % 1.39/1.02 Prover 0: Constructing countermodel ... % 1.52/1.08 Prover 0: proved (381ms) % 1.52/1.08 % 1.52/1.08 No countermodel exists, formula is valid % 1.52/1.08 % SZS status Theorem for theBenchmark % 1.52/1.08 % 1.52/1.08 Generating proof ... found it (size 6) % 1.97/1.19 % 1.97/1.19 % SZS output start Proof for theBenchmark % 1.97/1.19 Assumed formulas after preprocessing and simplification: % 1.97/1.19 | (0) ? [v0] : ? [v1] : ? [v2] : (r(v1, v2) & s(v1) & s(v0) & ! [v3] : ! [v4] : ( ~ q(v3, v4) | ~ p(v3)) & ! [v3] : ! [v4] : ( ~ r(v3, v4) | q(v3, v4)) & ! [v3] : ( ~ s(v3) | p(v3))) % 1.97/1.20 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields: % 1.97/1.20 | (1) r(all_0_1_1, all_0_0_0) & s(all_0_1_1) & s(all_0_2_2) & ! [v0] : ! [v1] : ( ~ q(v0, v1) | ~ p(v0)) & ! [v0] : ! [v1] : ( ~ r(v0, v1) | q(v0, v1)) & ! [v0] : ( ~ s(v0) | p(v0)) % 1.97/1.20 | % 1.97/1.20 | Applying alpha-rule on (1) yields: % 1.97/1.20 | (2) s(all_0_2_2) % 1.97/1.20 | (3) s(all_0_1_1) % 1.97/1.20 | (4) ! [v0] : ! [v1] : ( ~ r(v0, v1) | q(v0, v1)) % 1.97/1.20 | (5) ! [v0] : ! [v1] : ( ~ q(v0, v1) | ~ p(v0)) % 1.97/1.20 | (6) ! [v0] : ( ~ s(v0) | p(v0)) % 1.97/1.21 | (7) r(all_0_1_1, all_0_0_0) % 1.97/1.21 | % 1.97/1.21 | Instantiating formula (4) with all_0_0_0, all_0_1_1 and discharging atoms r(all_0_1_1, all_0_0_0), yields: % 1.97/1.21 | (8) q(all_0_1_1, all_0_0_0) % 1.97/1.21 | % 1.97/1.21 | Instantiating formula (6) with all_0_1_1 and discharging atoms s(all_0_1_1), yields: % 1.97/1.21 | (9) p(all_0_1_1) % 1.97/1.21 | % 1.97/1.21 | Instantiating formula (5) with all_0_0_0, all_0_1_1 and discharging atoms q(all_0_1_1, all_0_0_0), p(all_0_1_1), yields: % 1.97/1.21 | (10) $false % 1.97/1.21 | % 1.97/1.21 |-The branch is then unsatisfiable % 1.97/1.21 % SZS output end Proof for theBenchmark % 1.97/1.21 % 1.97/1.21 551ms %------------------------------------------------------------------------------