%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n009.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 04:59:39 EDT 2022 % Result : Theorem 1.60s 1.04s % Output : Proof 2.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n009.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 00:27:37 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.58 ___ / __ \_____(_)___ ________ __________ % 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic % 0.19/0.58 (ePrincess v.1.0) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2015 % 0.19/0.58 (c) Peter Backeman, 2014-2015 % 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.58 Bug reports to peter@backeman.se % 0.19/0.58 % 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.70/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.34/0.89 Prover 0: Preprocessing ... % 1.46/0.96 Prover 0: Constructing countermodel ... % 1.60/1.04 Prover 0: proved (406ms) % 1.60/1.04 % 1.60/1.04 No countermodel exists, formula is valid % 1.60/1.04 % SZS status Theorem for theBenchmark % 1.60/1.04 % 1.60/1.04 Generating proof ... found it (size 8) % 1.88/1.16 % 1.88/1.16 % SZS output start Proof for theBenchmark % 1.88/1.16 Assumed formulas after preprocessing and simplification: % 1.88/1.16 | (0) ? [v0] : (big_j(v0) & ! [v1] : ( ~ big_j(v1) | big_f(v1)) & ! [v1] : ( ~ big_g(v1) | big_h(v0, v1)) & ! [v1] : ( ~ big_f(v1) | ? [v2] : (big_h(v1, v2) & big_g(v2))) & ! [v1] : ( ~ big_f(v1) | ? [v2] : (big_g(v2) & ~ big_h(v1, v2)))) % 1.88/1.17 | Instantiating (0) with all_0_0_0 yields: % 1.88/1.17 | (1) big_j(all_0_0_0) & ! [v0] : ( ~ big_j(v0) | big_f(v0)) & ! [v0] : ( ~ big_g(v0) | big_h(all_0_0_0, v0)) & ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_h(v0, v1) & big_g(v1))) & ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_g(v1) & ~ big_h(v0, v1))) % 1.88/1.18 | % 1.88/1.18 | Applying alpha-rule on (1) yields: % 1.88/1.18 | (2) big_j(all_0_0_0) % 1.88/1.18 | (3) ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_g(v1) & ~ big_h(v0, v1))) % 1.88/1.18 | (4) ! [v0] : ( ~ big_f(v0) | ? [v1] : (big_h(v0, v1) & big_g(v1))) % 1.88/1.18 | (5) ! [v0] : ( ~ big_j(v0) | big_f(v0)) % 1.88/1.18 | (6) ! [v0] : ( ~ big_g(v0) | big_h(all_0_0_0, v0)) % 2.20/1.18 | % 2.20/1.18 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_j(all_0_0_0), yields: % 2.20/1.18 | (7) big_f(all_0_0_0) % 2.20/1.18 | % 2.20/1.18 | Instantiating formula (3) with all_0_0_0 and discharging atoms big_f(all_0_0_0), yields: % 2.20/1.18 | (8) ? [v0] : (big_g(v0) & ~ big_h(all_0_0_0, v0)) % 2.20/1.18 | % 2.20/1.18 | Instantiating (8) with all_14_0_1 yields: % 2.20/1.18 | (9) big_g(all_14_0_1) & ~ big_h(all_0_0_0, all_14_0_1) % 2.20/1.18 | % 2.20/1.18 | Applying alpha-rule on (9) yields: % 2.20/1.18 | (10) big_g(all_14_0_1) % 2.20/1.18 | (11) ~ big_h(all_0_0_0, all_14_0_1) % 2.20/1.18 | % 2.20/1.18 | Instantiating formula (6) with all_14_0_1 and discharging atoms big_g(all_14_0_1), ~ big_h(all_0_0_0, all_14_0_1), yields: % 2.20/1.18 | (12) $false % 2.20/1.18 | % 2.20/1.18 |-The branch is then unsatisfiable % 2.20/1.18 % SZS output end Proof for theBenchmark % 2.20/1.18 % 2.20/1.18 595ms %------------------------------------------------------------------------------