%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n004.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 05:01:44 EDT 2022 % Result : Theorem 1.61s 1.06s % Output : Proof 2.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0. % 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.35 % Computer : n004.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jul 12 03:07:52 EDT 2022 % 0.13/0.35 % CPUTime : % 0.52/0.61 ____ _ % 0.52/0.61 ___ / __ \_____(_)___ ________ __________ % 0.52/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.52/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.52/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.52/0.61 % 0.52/0.61 A Theorem Prover for First-Order Logic % 0.52/0.61 (ePrincess v.1.0) % 0.52/0.61 % 0.52/0.61 (c) Philipp Rümmer, 2009-2015 % 0.52/0.61 (c) Peter Backeman, 2014-2015 % 0.52/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.52/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.52/0.61 Bug reports to peter@backeman.se % 0.52/0.61 % 0.52/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.52/0.61 % 0.52/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.70/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.23/0.92 Prover 0: Preprocessing ... % 1.45/0.98 Prover 0: Constructing countermodel ... % 1.61/1.05 Prover 0: proved (390ms) % 1.61/1.06 % 1.61/1.06 No countermodel exists, formula is valid % 1.61/1.06 % SZS status Theorem for theBenchmark % 1.61/1.06 % 1.61/1.06 Generating proof ... found it (size 10) % 2.08/1.19 % 2.08/1.19 % SZS output start Proof for theBenchmark % 2.08/1.19 Assumed formulas after preprocessing and simplification: % 2.08/1.19 | (0) big_r(a, b) & ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0)) & ! [v0] : ! [v1] : ( ~ big_r(v0, v1) | big_q(v0, v1)) & ! [v0] : ! [v1] : ( ~ big_r(v0, v1) | big_r(v1, v0)) & ( ~ big_q(b, b) | ~ big_q(a, a)) % 2.08/1.20 | Applying alpha-rule on (0) yields: % 2.08/1.20 | (1) ! [v0] : ! [v1] : ( ~ big_q(v0, v1) | big_q(v0, v0)) % 2.08/1.20 | (2) ~ big_q(b, b) | ~ big_q(a, a) % 2.08/1.20 | (3) ! [v0] : ! [v1] : ( ~ big_r(v0, v1) | big_q(v0, v1)) % 2.08/1.20 | (4) ! [v0] : ! [v1] : ( ~ big_r(v0, v1) | big_r(v1, v0)) % 2.08/1.20 | (5) big_r(a, b) % 2.08/1.20 | % 2.08/1.20 | Instantiating formula (3) with b, a and discharging atoms big_r(a, b), yields: % 2.08/1.20 | (6) big_q(a, b) % 2.08/1.20 | % 2.08/1.20 | Instantiating formula (4) with b, a and discharging atoms big_r(a, b), yields: % 2.08/1.21 | (7) big_r(b, a) % 2.08/1.21 | % 2.08/1.21 | Instantiating formula (1) with b, a and discharging atoms big_q(a, b), yields: % 2.08/1.21 | (8) big_q(a, a) % 2.08/1.21 | % 2.08/1.21 | Instantiating formula (3) with a, b and discharging atoms big_r(b, a), yields: % 2.08/1.21 | (9) big_q(b, a) % 2.08/1.21 | % 2.08/1.21 +-Applying beta-rule and splitting (2), into two cases. % 2.08/1.21 |-Branch one: % 2.08/1.21 | (10) ~ big_q(b, b) % 2.08/1.21 | % 2.08/1.21 | Instantiating formula (1) with a, b and discharging atoms big_q(b, a), ~ big_q(b, b), yields: % 2.08/1.21 | (11) $false % 2.08/1.21 | % 2.08/1.21 |-The branch is then unsatisfiable % 2.08/1.21 |-Branch two: % 2.08/1.21 | (12) big_q(b, b) % 2.08/1.21 | (13) ~ big_q(a, a) % 2.08/1.21 | % 2.08/1.21 | Using (8) and (13) yields: % 2.08/1.21 | (11) $false % 2.08/1.21 | % 2.08/1.21 |-The branch is then unsatisfiable % 2.08/1.21 % SZS output end Proof for theBenchmark % 2.08/1.21 % 2.08/1.21 590ms %------------------------------------------------------------------------------