%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n016.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 05:02:04 EDT 2022 % Result : Theorem 1.41s 0.95s % Output : Proof 1.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN392+1 : TPTP v8.1.0. Released v2.0.0. % 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n016.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 17:20:13 EDT 2022 % 0.12/0.34 % CPUTime : % 0.59/0.59 ____ _ % 0.59/0.59 ___ / __ \_____(_)___ ________ __________ % 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.59/0.59 % 0.59/0.59 A Theorem Prover for First-Order Logic % 0.59/0.59 (ePrincess v.1.0) % 0.59/0.59 % 0.59/0.59 (c) Philipp Rümmer, 2009-2015 % 0.59/0.59 (c) Peter Backeman, 2014-2015 % 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.59/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.59/0.59 Bug reports to peter@backeman.se % 0.59/0.59 % 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.59/0.59 % 0.59/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.11/0.86 Prover 0: Preprocessing ... % 1.29/0.90 Prover 0: Constructing countermodel ... % 1.41/0.95 Prover 0: proved (282ms) % 1.41/0.95 % 1.41/0.95 No countermodel exists, formula is valid % 1.41/0.95 % SZS status Theorem for theBenchmark % 1.41/0.95 % 1.41/0.95 Generating proof ... found it (size 38) % 1.66/1.06 % 1.66/1.06 % SZS output start Proof for theBenchmark % 1.66/1.06 Assumed formulas after preprocessing and simplification: % 1.66/1.06 | (0) (( ~ p2 | p1) & ( ~ p1 | p2) & ((p2 & ~ p1) | (p1 & ~ p2))) | (((p2 & p1) | ( ~ p2 & ~ p1)) & ((p2 & ~ p1) | (p1 & ~ p2))) % 1.66/1.07 +-Applying beta-rule and splitting (0), into two cases. % 1.66/1.07 |-Branch one: % 1.66/1.07 | (1) ( ~ p2 | p1) & ( ~ p1 | p2) & ((p2 & ~ p1) | (p1 & ~ p2)) % 1.66/1.07 | % 1.66/1.07 | Applying alpha-rule on (1) yields: % 1.66/1.07 | (2) ~ p2 | p1 % 1.66/1.07 | (3) ~ p1 | p2 % 1.66/1.07 | (4) (p2 & ~ p1) | (p1 & ~ p2) % 1.66/1.07 | % 1.66/1.07 +-Applying beta-rule and splitting (3), into two cases. % 1.66/1.07 |-Branch one: % 1.66/1.07 | (5) ~ p1 % 1.66/1.07 | % 1.66/1.07 +-Applying beta-rule and splitting (2), into two cases. % 1.66/1.07 |-Branch one: % 1.66/1.07 | (6) ~ p2 % 1.66/1.07 | % 1.66/1.07 +-Applying beta-rule and splitting (4), into two cases. % 1.66/1.07 |-Branch one: % 1.66/1.07 | (7) p2 & ~ p1 % 1.66/1.07 | % 1.66/1.07 | Applying alpha-rule on (7) yields: % 1.66/1.07 | (8) p2 % 1.66/1.07 | (5) ~ p1 % 1.66/1.07 | % 1.66/1.07 | Using (8) and (6) yields: % 1.66/1.07 | (10) $false % 1.66/1.07 | % 1.66/1.07 |-The branch is then unsatisfiable % 1.66/1.07 |-Branch two: % 1.66/1.07 | (11) p1 & ~ p2 % 1.66/1.07 | % 1.66/1.07 | Applying alpha-rule on (11) yields: % 1.66/1.07 | (12) p1 % 1.66/1.07 | (6) ~ p2 % 1.66/1.07 | % 1.66/1.07 | Using (12) and (5) yields: % 1.66/1.07 | (10) $false % 1.66/1.07 | % 1.66/1.07 |-The branch is then unsatisfiable % 1.66/1.07 |-Branch two: % 1.66/1.07 | (8) p2 % 1.66/1.07 | (12) p1 % 1.66/1.07 | % 1.66/1.07 | Using (12) and (5) yields: % 1.66/1.07 | (10) $false % 1.66/1.07 | % 1.66/1.07 |-The branch is then unsatisfiable % 1.66/1.07 |-Branch two: % 1.66/1.07 | (12) p1 % 1.66/1.07 | (8) p2 % 1.66/1.08 | % 1.66/1.08 +-Applying beta-rule and splitting (4), into two cases. % 1.66/1.08 |-Branch one: % 1.66/1.08 | (7) p2 & ~ p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (7) yields: % 1.66/1.08 | (8) p2 % 1.66/1.08 | (5) ~ p1 % 1.66/1.08 | % 1.66/1.08 | Using (12) and (5) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 |-Branch two: % 1.66/1.08 | (11) p1 & ~ p2 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (11) yields: % 1.66/1.08 | (12) p1 % 1.66/1.08 | (6) ~ p2 % 1.66/1.08 | % 1.66/1.08 | Using (8) and (6) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 |-Branch two: % 1.66/1.08 | (28) ((p2 & p1) | ( ~ p2 & ~ p1)) & ((p2 & ~ p1) | (p1 & ~ p2)) % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (28) yields: % 1.66/1.08 | (29) (p2 & p1) | ( ~ p2 & ~ p1) % 1.66/1.08 | (4) (p2 & ~ p1) | (p1 & ~ p2) % 1.66/1.08 | % 1.66/1.08 +-Applying beta-rule and splitting (4), into two cases. % 1.66/1.08 |-Branch one: % 1.66/1.08 | (7) p2 & ~ p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (7) yields: % 1.66/1.08 | (8) p2 % 1.66/1.08 | (5) ~ p1 % 1.66/1.08 | % 1.66/1.08 +-Applying beta-rule and splitting (29), into two cases. % 1.66/1.08 |-Branch one: % 1.66/1.08 | (34) p2 & p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (34) yields: % 1.66/1.08 | (8) p2 % 1.66/1.08 | (12) p1 % 1.66/1.08 | % 1.66/1.08 | Using (12) and (5) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 |-Branch two: % 1.66/1.08 | (38) ~ p2 & ~ p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (38) yields: % 1.66/1.08 | (6) ~ p2 % 1.66/1.08 | (5) ~ p1 % 1.66/1.08 | % 1.66/1.08 | Using (8) and (6) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 |-Branch two: % 1.66/1.08 | (11) p1 & ~ p2 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (11) yields: % 1.66/1.08 | (12) p1 % 1.66/1.08 | (6) ~ p2 % 1.66/1.08 | % 1.66/1.08 +-Applying beta-rule and splitting (29), into two cases. % 1.66/1.08 |-Branch one: % 1.66/1.08 | (34) p2 & p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (34) yields: % 1.66/1.08 | (8) p2 % 1.66/1.08 | (12) p1 % 1.66/1.08 | % 1.66/1.08 | Using (8) and (6) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 |-Branch two: % 1.66/1.08 | (38) ~ p2 & ~ p1 % 1.66/1.08 | % 1.66/1.08 | Applying alpha-rule on (38) yields: % 1.66/1.08 | (6) ~ p2 % 1.66/1.08 | (5) ~ p1 % 1.66/1.08 | % 1.66/1.08 | Using (12) and (5) yields: % 1.66/1.08 | (10) $false % 1.66/1.08 | % 1.66/1.08 |-The branch is then unsatisfiable % 1.66/1.08 % SZS output end Proof for theBenchmark % 1.66/1.09 % 1.66/1.09 477ms %------------------------------------------------------------------------------