%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n010.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 04:59:27 EDT 2022 % Result : Theorem 1.50s 1.00s % Output : Proof 1.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n010.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Tue Jul 12 03:25:15 EDT 2022 % 0.11/0.33 % CPUTime : % 0.56/0.58 ____ _ % 0.56/0.58 ___ / __ \_____(_)___ ________ __________ % 0.56/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.58 % 0.56/0.58 A Theorem Prover for First-Order Logic % 0.56/0.58 (ePrincess v.1.0) % 0.56/0.58 % 0.56/0.58 (c) Philipp Rümmer, 2009-2015 % 0.56/0.58 (c) Peter Backeman, 2014-2015 % 0.56/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.58 Bug reports to peter@backeman.se % 0.56/0.58 % 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.58 % 0.56/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.62/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.30/0.86 Prover 0: Preprocessing ... % 1.49/0.93 Prover 0: Constructing countermodel ... % 1.50/1.00 Prover 0: proved (373ms) % 1.50/1.00 % 1.50/1.00 No countermodel exists, formula is valid % 1.50/1.00 % SZS status Theorem for theBenchmark % 1.50/1.00 % 1.50/1.00 Generating proof ... found it (size 6) % 1.98/1.12 % 1.98/1.12 % SZS output start Proof for theBenchmark % 1.98/1.12 Assumed formulas after preprocessing and simplification: % 1.98/1.12 | (0) ? [v0] : ? [v1] : (big_p(v1) & ! [v2] : ( ~ big_q(v2) | ~ big_p(v2)) & ! [v2] : ( ~ big_g(v2) | ~ big_f(v2)) & ! [v2] : ( ~ big_f(v2) | big_r(v2)) & ! [v2] : ( ~ big_p(v2) | big_g(v2)) & ! [v2] : ( ~ big_p(v2) | big_f(v2)) & ( ! [v2] : ( ~ big_p(v2) | big_q(v2)) | (big_r(v0) & big_p(v0)))) % 1.98/1.13 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 1.98/1.13 | (1) big_p(all_0_0_0) & ! [v0] : ( ~ big_q(v0) | ~ big_p(v0)) & ! [v0] : ( ~ big_g(v0) | ~ big_f(v0)) & ! [v0] : ( ~ big_f(v0) | big_r(v0)) & ! [v0] : ( ~ big_p(v0) | big_g(v0)) & ! [v0] : ( ~ big_p(v0) | big_f(v0)) & ( ! [v0] : ( ~ big_p(v0) | big_q(v0)) | (big_r(all_0_1_1) & big_p(all_0_1_1))) % 1.98/1.13 | % 1.98/1.13 | Applying alpha-rule on (1) yields: % 1.98/1.13 | (2) ! [v0] : ( ~ big_q(v0) | ~ big_p(v0)) % 1.98/1.13 | (3) big_p(all_0_0_0) % 1.98/1.13 | (4) ! [v0] : ( ~ big_f(v0) | big_r(v0)) % 1.98/1.13 | (5) ! [v0] : ( ~ big_p(v0) | big_g(v0)) % 1.98/1.13 | (6) ! [v0] : ( ~ big_g(v0) | ~ big_f(v0)) % 1.98/1.13 | (7) ! [v0] : ( ~ big_p(v0) | big_f(v0)) % 1.98/1.13 | (8) ! [v0] : ( ~ big_p(v0) | big_q(v0)) | (big_r(all_0_1_1) & big_p(all_0_1_1)) % 1.98/1.13 | % 1.98/1.13 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_p(all_0_0_0), yields: % 1.98/1.13 | (9) big_g(all_0_0_0) % 1.98/1.13 | % 1.98/1.13 | Instantiating formula (7) with all_0_0_0 and discharging atoms big_p(all_0_0_0), yields: % 1.98/1.13 | (10) big_f(all_0_0_0) % 1.98/1.14 | % 1.98/1.14 | Instantiating formula (6) with all_0_0_0 and discharging atoms big_g(all_0_0_0), big_f(all_0_0_0), yields: % 1.98/1.14 | (11) $false % 1.98/1.14 | % 1.98/1.14 |-The branch is then unsatisfiable % 1.98/1.14 % SZS output end Proof for theBenchmark % 1.98/1.14 % 1.98/1.14 545ms %------------------------------------------------------------------------------