%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN044+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n008.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 04:59:17 EDT 2022 % Result : Theorem 1.40s 0.98s % Output : Proof 1.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN044+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jul 11 23:38:23 EDT 2022 % 0.14/0.34 % CPUTime : % 0.61/0.61 ____ _ % 0.61/0.61 ___ / __ \_____(_)___ ________ __________ % 0.61/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.61/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.61/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.61/0.61 % 0.61/0.61 A Theorem Prover for First-Order Logic % 0.61/0.61 (ePrincess v.1.0) % 0.61/0.61 % 0.61/0.61 (c) Philipp Rümmer, 2009-2015 % 0.61/0.61 (c) Peter Backeman, 2014-2015 % 0.61/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.61/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.61/0.61 Bug reports to peter@backeman.se % 0.61/0.61 % 0.61/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.61/0.61 % 0.61/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.27/0.89 Prover 0: Preprocessing ... % 1.40/0.93 Prover 0: Constructing countermodel ... % 1.40/0.98 Prover 0: proved (317ms) % 1.40/0.98 % 1.40/0.98 No countermodel exists, formula is valid % 1.40/0.98 % SZS status Theorem for theBenchmark % 1.40/0.98 % 1.40/0.98 Generating proof ... found it (size 30) % 1.67/1.09 % 1.67/1.09 % SZS output start Proof for theBenchmark % 1.67/1.09 Assumed formulas after preprocessing and simplification: % 1.67/1.09 | (0) ( ~ p | r | q) & ( ~ r | (p & q)) & ( ~ q | r) & ((p & ~ q) | (q & ~ p)) % 1.67/1.09 | Applying alpha-rule on (0) yields: % 1.67/1.09 | (1) ~ p | r | q % 1.67/1.09 | (2) ~ r | (p & q) % 1.67/1.09 | (3) ~ q | r % 1.67/1.09 | (4) (p & ~ q) | (q & ~ p) % 1.67/1.09 | % 1.67/1.09 +-Applying beta-rule and splitting (3), into two cases. % 1.67/1.09 |-Branch one: % 1.67/1.09 | (5) ~ q % 1.67/1.09 | % 1.67/1.09 +-Applying beta-rule and splitting (2), into two cases. % 1.67/1.09 |-Branch one: % 1.67/1.09 | (6) ~ r % 1.67/1.10 | % 1.67/1.10 +-Applying beta-rule and splitting (1), into two cases. % 1.67/1.10 |-Branch one: % 1.67/1.10 | (7) q % 1.67/1.10 | % 1.80/1.10 | Using (7) and (5) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (5) ~ q % 1.80/1.10 | (10) ~ p | r % 1.80/1.10 | % 1.80/1.10 +-Applying beta-rule and splitting (4), into two cases. % 1.80/1.10 |-Branch one: % 1.80/1.10 | (11) p & ~ q % 1.80/1.10 | % 1.80/1.10 | Applying alpha-rule on (11) yields: % 1.80/1.10 | (12) p % 1.80/1.10 | (5) ~ q % 1.80/1.10 | % 1.80/1.10 +-Applying beta-rule and splitting (10), into two cases. % 1.80/1.10 |-Branch one: % 1.80/1.10 | (14) ~ p % 1.80/1.10 | % 1.80/1.10 | Using (12) and (14) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (12) p % 1.80/1.10 | (17) r % 1.80/1.10 | % 1.80/1.10 | Using (17) and (6) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (19) q & ~ p % 1.80/1.10 | % 1.80/1.10 | Applying alpha-rule on (19) yields: % 1.80/1.10 | (7) q % 1.80/1.10 | (14) ~ p % 1.80/1.10 | % 1.80/1.10 | Using (7) and (5) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (17) r % 1.80/1.10 | (24) p & q % 1.80/1.10 | % 1.80/1.10 | Applying alpha-rule on (24) yields: % 1.80/1.10 | (12) p % 1.80/1.10 | (7) q % 1.80/1.10 | % 1.80/1.10 | Using (7) and (5) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (7) q % 1.80/1.10 | (17) r % 1.80/1.10 | % 1.80/1.10 +-Applying beta-rule and splitting (2), into two cases. % 1.80/1.10 |-Branch one: % 1.80/1.10 | (6) ~ r % 1.80/1.10 | % 1.80/1.10 | Using (17) and (6) yields: % 1.80/1.10 | (8) $false % 1.80/1.10 | % 1.80/1.10 |-The branch is then unsatisfiable % 1.80/1.10 |-Branch two: % 1.80/1.10 | (17) r % 1.80/1.10 | (24) p & q % 1.80/1.10 | % 1.80/1.10 | Applying alpha-rule on (24) yields: % 1.80/1.10 | (12) p % 1.80/1.10 | (7) q % 1.80/1.10 | % 1.80/1.10 +-Applying beta-rule and splitting (4), into two cases. % 1.80/1.10 |-Branch one: % 1.80/1.10 | (11) p & ~ q % 1.80/1.11 | % 1.80/1.11 | Applying alpha-rule on (11) yields: % 1.80/1.11 | (12) p % 1.80/1.11 | (5) ~ q % 1.80/1.11 | % 1.80/1.11 | Using (7) and (5) yields: % 1.80/1.11 | (8) $false % 1.80/1.11 | % 1.80/1.11 |-The branch is then unsatisfiable % 1.80/1.11 |-Branch two: % 1.80/1.11 | (19) q & ~ p % 1.80/1.11 | % 1.80/1.11 | Applying alpha-rule on (19) yields: % 1.80/1.11 | (7) q % 1.80/1.11 | (14) ~ p % 1.80/1.11 | % 1.80/1.11 | Using (12) and (14) yields: % 1.80/1.11 | (8) $false % 1.80/1.11 | % 1.80/1.11 |-The branch is then unsatisfiable % 1.80/1.11 % SZS output end Proof for theBenchmark % 1.80/1.11 % 1.80/1.11 489ms %------------------------------------------------------------------------------