%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n026.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 05:01:47 EDT 2022 % Result : Theorem 1.45s 0.99s % Output : Proof 1.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n026.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 : Mon Jul 11 15:31:42 EDT 2022 % 0.11/0.33 % CPUTime : % 0.56/0.56 ____ _ % 0.56/0.56 ___ / __ \_____(_)___ ________ __________ % 0.56/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.56 % 0.56/0.56 A Theorem Prover for First-Order Logic % 0.56/0.56 (ePrincess v.1.0) % 0.56/0.56 % 0.56/0.56 (c) Philipp Rümmer, 2009-2015 % 0.56/0.56 (c) Peter Backeman, 2014-2015 % 0.56/0.56 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.56 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.56 Bug reports to peter@backeman.se % 0.56/0.56 % 0.56/0.56 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.56 % 0.56/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.60/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.24/0.85 Prover 0: Preprocessing ... % 1.31/0.92 Prover 0: Constructing countermodel ... % 1.45/0.99 Prover 0: proved (378ms) % 1.45/0.99 % 1.45/0.99 No countermodel exists, formula is valid % 1.45/0.99 % SZS status Theorem for theBenchmark % 1.45/0.99 % 1.45/0.99 Generating proof ... found it (size 7) % 1.92/1.10 % 1.92/1.10 % SZS output start Proof for theBenchmark % 1.92/1.10 Assumed formulas after preprocessing and simplification: % 1.92/1.10 | (0) ? [v0] : (big_r(v0) & ! [v1] : ! [v2] : ( ~ big_q(v1, v2) | ~ big_r(v2)) & ! [v1] : ! [v2] : ( ~ big_q(v1, v2) | big_q(v1, v1)) & ! [v1] : ( ~ big_r(v1) | ? [v2] : big_q(v1, v2))) % 1.92/1.11 | Instantiating (0) with all_0_0_0 yields: % 1.92/1.11 | (1) big_r(all_0_0_0) & ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | ~ big_r(v1)) & ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0)) & ! [v0] : ( ~ big_r(v0) | ? [v1] : big_q(v0, v1)) % 1.92/1.11 | % 1.92/1.11 | Applying alpha-rule on (1) yields: % 1.92/1.11 | (2) big_r(all_0_0_0) % 1.92/1.11 | (3) ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | ~ big_r(v1)) % 1.92/1.11 | (4) ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0)) % 1.92/1.11 | (5) ! [v0] : ( ~ big_r(v0) | ? [v1] : big_q(v0, v1)) % 1.92/1.11 | % 1.92/1.11 | Instantiating formula (5) with all_0_0_0 and discharging atoms big_r(all_0_0_0), yields: % 1.92/1.11 | (6) ? [v0] : big_q(all_0_0_0, v0) % 1.92/1.11 | % 1.92/1.11 | Instantiating (6) with all_8_0_1 yields: % 1.92/1.11 | (7) big_q(all_0_0_0, all_8_0_1) % 1.92/1.11 | % 1.92/1.11 | Instantiating formula (4) with all_8_0_1, all_0_0_0 and discharging atoms big_q(all_0_0_0, all_8_0_1), yields: % 1.92/1.11 | (8) big_q(all_0_0_0, all_0_0_0) % 1.92/1.11 | % 1.92/1.11 | Instantiating formula (3) with all_0_0_0, all_0_0_0 and discharging atoms big_q(all_0_0_0, all_0_0_0), big_r(all_0_0_0), yields: % 1.92/1.11 | (9) $false % 1.92/1.11 | % 1.92/1.12 |-The branch is then unsatisfiable % 1.92/1.12 % SZS output end Proof for theBenchmark % 1.92/1.12 % 1.92/1.12 542ms %------------------------------------------------------------------------------