%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n017.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 04:59:33 EDT 2022 % Result : Theorem 1.55s 1.04s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n017.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 : Mon Jul 11 18:51:19 EDT 2022 % 0.12/0.33 % 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 % 0.56/0.59 (ePrincess v.1.0) % 0.56/0.59 % 0.56/0.59 (c) Philipp Rümmer, 2009-2015 % 0.56/0.59 (c) Peter Backeman, 2014-2015 % 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.59 Bug reports to peter@backeman.se % 0.56/0.59 % 0.56/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.59 % 0.61/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.30/0.90 Prover 0: Preprocessing ... % 1.41/0.97 Prover 0: Constructing countermodel ... % 1.55/1.04 Prover 0: proved (402ms) % 1.55/1.04 % 1.55/1.04 No countermodel exists, formula is valid % 1.55/1.04 % SZS status Theorem for theBenchmark % 1.55/1.04 % 1.55/1.04 Generating proof ... found it (size 6) % 1.86/1.14 % 1.86/1.14 % SZS output start Proof for theBenchmark % 1.86/1.14 Assumed formulas after preprocessing and simplification: % 1.86/1.15 | (0) ? [v0] : (big_k(v0) & big_f(v0) & ~ big_j(v0) & ! [v1] : ( ~ big_k(v1) | big_h(v1)) & ! [v1] : ( ~ big_i(v1) | ~ big_h(v1) | big_j(v1)) & ! [v1] : ( ~ big_h(v1) | ~ big_f(v1) | big_i(v1)) & ! [v1] : ( ~ big_g(v1) | ~ big_f(v1) | big_i(v1))) % 1.86/1.15 | Instantiating (0) with all_0_0_0 yields: % 1.86/1.15 | (1) big_k(all_0_0_0) & big_f(all_0_0_0) & ~ big_j(all_0_0_0) & ! [v0] : ( ~ big_k(v0) | big_h(v0)) & ! [v0] : ( ~ big_i(v0) | ~ big_h(v0) | big_j(v0)) & ! [v0] : ( ~ big_h(v0) | ~ big_f(v0) | big_i(v0)) & ! [v0] : ( ~ big_g(v0) | ~ big_f(v0) | big_i(v0)) % 1.86/1.15 | % 1.86/1.15 | Applying alpha-rule on (1) yields: % 1.86/1.16 | (2) ! [v0] : ( ~ big_h(v0) | ~ big_f(v0) | big_i(v0)) % 1.86/1.16 | (3) ! [v0] : ( ~ big_g(v0) | ~ big_f(v0) | big_i(v0)) % 1.86/1.16 | (4) ! [v0] : ( ~ big_k(v0) | big_h(v0)) % 1.86/1.16 | (5) ~ big_j(all_0_0_0) % 1.86/1.16 | (6) big_k(all_0_0_0) % 1.86/1.16 | (7) big_f(all_0_0_0) % 1.86/1.16 | (8) ! [v0] : ( ~ big_i(v0) | ~ big_h(v0) | big_j(v0)) % 1.86/1.16 | % 1.86/1.16 | Instantiating formula (4) with all_0_0_0 and discharging atoms big_k(all_0_0_0), yields: % 1.86/1.16 | (9) big_h(all_0_0_0) % 1.86/1.16 | % 1.86/1.16 | Instantiating formula (2) with all_0_0_0 and discharging atoms big_h(all_0_0_0), big_f(all_0_0_0), yields: % 1.86/1.16 | (10) big_i(all_0_0_0) % 1.86/1.16 | % 1.86/1.16 | Instantiating formula (8) with all_0_0_0 and discharging atoms big_i(all_0_0_0), big_h(all_0_0_0), ~ big_j(all_0_0_0), yields: % 1.86/1.16 | (11) $false % 1.86/1.16 | % 1.86/1.16 |-The branch is then unsatisfiable % 1.86/1.16 % SZS output end Proof for theBenchmark % 1.86/1.16 % 1.86/1.16 567ms %------------------------------------------------------------------------------