%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : KRS085+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n024.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 : Sun Jul 17 02:56:31 EDT 2022 % Result : Unsatisfiable 2.05s 1.17s % Output : Proof 2.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS085+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n024.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 : Tue Jun 7 08:34:04 EDT 2022 % 0.12/0.33 % CPUTime : % 0.53/0.57 ____ _ % 0.53/0.57 ___ / __ \_____(_)___ ________ __________ % 0.53/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.53/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.53/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.53/0.57 % 0.53/0.57 A Theorem Prover for First-Order Logic % 0.53/0.57 (ePrincess v.1.0) % 0.53/0.57 % 0.53/0.57 (c) Philipp Rümmer, 2009-2015 % 0.53/0.57 (c) Peter Backeman, 2014-2015 % 0.53/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.53/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.53/0.57 Bug reports to peter@backeman.se % 0.53/0.57 % 0.53/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.53/0.57 % 0.53/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.53/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.37/0.93 Prover 0: Preprocessing ... % 1.80/1.06 Prover 0: Warning: ignoring some quantifiers % 1.80/1.08 Prover 0: Constructing countermodel ... % 2.05/1.17 Prover 0: proved (546ms) % 2.05/1.17 % 2.05/1.17 No countermodel exists, formula is valid % 2.05/1.17 % SZS status Unsatisfiable for theBenchmark % 2.05/1.17 % 2.05/1.17 Generating proof ... Warning: ignoring some quantifiers % 2.76/1.34 found it (size 9) % 2.76/1.34 % 2.76/1.34 % SZS output start Proof for theBenchmark % 2.76/1.34 Assumed formulas after preprocessing and simplification: % 2.76/1.34 | (0) cUnsatisfiable(i2003_11_14_17_19_39537) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1) | ~ cowlThing(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | ~ cp1(v2) | ~ cp1(v0) | cUnsatisfiable(v0) | ? [v3] : (rinvR(v2, v3) & cp1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rr(v0, v1) & cp1(v2) & ! [v3] : ( ~ rinvR(v2, v3) | ~ cp1(v3)))) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) % 2.76/1.35 | Applying alpha-rule on (0) yields: % 2.76/1.35 | (1) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) % 2.76/1.35 | (2) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) % 2.76/1.35 | (3) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) % 2.76/1.35 | (4) cUnsatisfiable(i2003_11_14_17_19_39537) % 2.76/1.35 | (5) ! [v0] : ~ cowlNothing(v0) % 2.76/1.35 | (6) ? [v0] : cowlThing(v0) % 2.76/1.35 | (7) ! [v0] : ( ~ cUnsatisfiable(v0) | cp1(v0)) % 2.76/1.35 | (8) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : ? [v2] : (rr(v1, v2) & rr(v0, v1) & cp1(v2) & ! [v3] : ( ~ rinvR(v2, v3) | ~ cp1(v3)))) % 2.76/1.35 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | ~ cp1(v2) | ~ cp1(v0) | cUnsatisfiable(v0) | ? [v3] : (rinvR(v2, v3) & cp1(v3))) % 2.76/1.35 | (10) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) % 2.76/1.35 | (11) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) % 2.76/1.35 | (12) ? [v0] : (xsd_string(v0) | xsd_integer(v0)) % 2.76/1.35 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 2.76/1.35 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1) | ~ cowlThing(v0)) % 2.76/1.35 | % 2.76/1.35 | Instantiating formula (7) with i2003_11_14_17_19_39537 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_39537), yields: % 2.76/1.35 | (15) cp1(i2003_11_14_17_19_39537) % 2.76/1.35 | % 2.76/1.35 | Instantiating formula (8) with i2003_11_14_17_19_39537 and discharging atoms cUnsatisfiable(i2003_11_14_17_19_39537), yields: % 2.76/1.36 | (16) ? [v0] : ? [v1] : (rr(v0, v1) & rr(i2003_11_14_17_19_39537, v0) & cp1(v1) & ! [v2] : ( ~ rinvR(v1, v2) | ~ cp1(v2))) % 2.76/1.36 | % 2.76/1.36 | Instantiating (16) with all_11_0_2, all_11_1_3 yields: % 2.76/1.36 | (17) rr(all_11_1_3, all_11_0_2) & rr(i2003_11_14_17_19_39537, all_11_1_3) & cp1(all_11_0_2) & ! [v0] : ( ~ rinvR(all_11_0_2, v0) | ~ cp1(v0)) % 2.76/1.36 | % 2.76/1.36 | Applying alpha-rule on (17) yields: % 2.76/1.36 | (18) rr(all_11_1_3, all_11_0_2) % 2.76/1.36 | (19) rr(i2003_11_14_17_19_39537, all_11_1_3) % 2.76/1.36 | (20) cp1(all_11_0_2) % 2.76/1.36 | (21) ! [v0] : ( ~ rinvR(all_11_0_2, v0) | ~ cp1(v0)) % 2.76/1.36 | % 2.76/1.36 | Instantiating formula (13) with all_11_0_2, all_11_1_3, i2003_11_14_17_19_39537 and discharging atoms rr(all_11_1_3, all_11_0_2), rr(i2003_11_14_17_19_39537, all_11_1_3), yields: % 2.76/1.36 | (22) rr(i2003_11_14_17_19_39537, all_11_0_2) % 2.76/1.36 | % 2.76/1.36 | Instantiating formula (11) with i2003_11_14_17_19_39537, all_11_0_2 and discharging atoms rr(i2003_11_14_17_19_39537, all_11_0_2), yields: % 2.76/1.36 | (23) rinvR(all_11_0_2, i2003_11_14_17_19_39537) % 2.76/1.36 | % 2.76/1.36 | Instantiating formula (21) with i2003_11_14_17_19_39537 and discharging atoms rinvR(all_11_0_2, i2003_11_14_17_19_39537), cp1(i2003_11_14_17_19_39537), yields: % 2.76/1.36 | (24) $false % 2.76/1.36 | % 2.76/1.36 |-The branch is then unsatisfiable % 2.76/1.36 % SZS output end Proof for theBenchmark % 2.76/1.36 % 2.76/1.36 778ms %------------------------------------------------------------------------------