%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB017+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.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 : Tue Jul 19 18:59:39 EDT 2022 % Result : Theorem 6.49s 2.20s % Output : Proof 7.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SWB017+2 : TPTP v8.1.0. Released v5.2.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.33 % Computer : n029.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 : Wed Jun 1 11:30:45 EDT 2022 % 0.11/0.33 % CPUTime : % 0.65/0.63 ____ _ % 0.65/0.63 ___ / __ \_____(_)___ ________ __________ % 0.65/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.65/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.65/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.65/0.63 % 0.65/0.63 A Theorem Prover for First-Order Logic % 0.65/0.63 (ePrincess v.1.0) % 0.65/0.63 % 0.65/0.63 (c) Philipp Rümmer, 2009-2015 % 0.65/0.63 (c) Peter Backeman, 2014-2015 % 0.65/0.63 (contributions by Angelo Brillout, Peter Baumgartner) % 0.65/0.63 Free software under GNU Lesser General Public License (LGPL). % 0.65/0.63 Bug reports to peter@backeman.se % 0.65/0.63 % 0.65/0.63 For more information, visit http://user.uu.se/~petba168/breu/ % 0.65/0.63 % 0.65/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.65/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.41/0.92 Prover 0: Preprocessing ... % 1.41/1.00 Prover 0: Warning: ignoring some quantifiers % 1.41/1.01 Prover 0: Constructing countermodel ... % 5.91/2.11 Prover 0: gave up % 5.91/2.11 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 5.91/2.13 Prover 1: Preprocessing ... % 6.33/2.18 Prover 1: Constructing countermodel ... % 6.49/2.20 Prover 1: proved (84ms) % 6.49/2.20 % 6.49/2.20 No countermodel exists, formula is valid % 6.49/2.20 % SZS status Theorem for theBenchmark % 6.49/2.20 % 6.49/2.20 Generating proof ... found it (size 13) % 7.05/2.35 % 7.05/2.35 % SZS output start Proof for theBenchmark % 7.05/2.35 Assumed formulas after preprocessing and simplification: % 7.05/2.35 | (0) ? [v0] : ( ~ (v0 = 0) & iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0 & iext(uri_ex_notInstanceOf, uri_ex_u, uri_ex_c) = 0 & iext(uri_owl_propertyDisjointWith, uri_ex_notInstanceOf, uri_rdf_type) = 0 & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (iext(v5, v4, v3) = v2) | ~ (iext(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (iext(v1, v3, v4) = 0) | ~ (iext(uri_owl_propertyDisjointWith, v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & iext(v2, v3, v4) = v5)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v1 | ~ (iext(uri_owl_differentFrom, v1, v2) = v3)) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (iext(uri_owl_propertyDisjointWith, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & iext(v2, v4, v5) = 0 & iext(v1, v4, v5) = 0) | (ip(v2) = v5 & ip(v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (ip(v3) = v2) | ~ (ip(v3) = v1)) & ! [v1] : ! [v2] : ( ~ (iext(uri_owl_propertyDisjointWith, v1, v2) = 0) | (ip(v2) = 0 & ip(v1) = 0)) & ! [v1] : ~ (iext(uri_owl_differentFrom, v1, v1) = 0)) % 7.05/2.38 | Instantiating (0) with all_0_0_0 yields: % 7.05/2.38 | (1) ~ (all_0_0_0 = 0) & iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0 & iext(uri_ex_notInstanceOf, uri_ex_u, uri_ex_c) = 0 & iext(uri_owl_propertyDisjointWith, uri_ex_notInstanceOf, uri_rdf_type) = 0 & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (iext(v0, v2, v3) = 0) | ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & iext(v1, v2, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iext(uri_owl_differentFrom, v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & iext(v1, v3, v4) = 0 & iext(v0, v3, v4) = 0) | (ip(v1) = v4 & ip(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = 0) | (ip(v1) = 0 & ip(v0) = 0)) & ! [v0] : ~ (iext(uri_owl_differentFrom, v0, v0) = 0) % 7.37/2.38 | % 7.37/2.38 | Applying alpha-rule on (1) yields: % 7.37/2.38 | (2) iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = all_0_0_0 % 7.37/2.38 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0)) % 7.37/2.38 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | v1 = v0 | ~ (iext(uri_owl_differentFrom, v0, v1) = v2)) % 7.37/2.38 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & iext(v1, v3, v4) = 0 & iext(v0, v3, v4) = 0) | (ip(v1) = v4 & ip(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))) % 7.37/2.38 | (6) iext(uri_ex_notInstanceOf, uri_ex_u, uri_ex_c) = 0 % 7.37/2.38 | (7) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0 % 7.37/2.38 | (8) ! [v0] : ! [v1] : ( ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = 0) | (ip(v1) = 0 & ip(v0) = 0)) % 7.37/2.38 | (9) ! [v0] : ~ (iext(uri_owl_differentFrom, v0, v0) = 0) % 7.37/2.39 | (10) iext(uri_owl_propertyDisjointWith, uri_ex_notInstanceOf, uri_rdf_type) = 0 % 7.37/2.39 | (11) ~ (all_0_0_0 = 0) % 7.37/2.39 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) % 7.37/2.39 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (iext(v0, v2, v3) = 0) | ~ (iext(uri_owl_propertyDisjointWith, v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & iext(v1, v2, v3) = v4)) % 7.37/2.39 | % 7.37/2.39 | Instantiating formula (4) with all_0_0_0, uri_ex_u, uri_ex_w and discharging atoms iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = all_0_0_0, yields: % 7.37/2.39 | (14) all_0_0_0 = 0 | uri_ex_u = uri_ex_w % 7.37/2.39 | % 7.37/2.39 | Instantiating formula (13) with uri_ex_c, uri_ex_u, uri_rdf_type, uri_ex_notInstanceOf and discharging atoms iext(uri_ex_notInstanceOf, uri_ex_u, uri_ex_c) = 0, iext(uri_owl_propertyDisjointWith, uri_ex_notInstanceOf, uri_rdf_type) = 0, yields: % 7.37/2.39 | (15) ? [v0] : ( ~ (v0 = 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_c) = v0) % 7.37/2.39 | % 7.37/2.39 | Instantiating (15) with all_9_0_1 yields: % 7.37/2.39 | (16) ~ (all_9_0_1 = 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_c) = all_9_0_1 % 7.37/2.39 | % 7.37/2.39 | Applying alpha-rule on (16) yields: % 7.37/2.39 | (17) ~ (all_9_0_1 = 0) % 7.37/2.39 | (18) iext(uri_rdf_type, uri_ex_u, uri_ex_c) = all_9_0_1 % 7.37/2.39 | % 7.37/2.39 +-Applying beta-rule and splitting (14), into two cases. % 7.37/2.39 |-Branch one: % 7.37/2.39 | (19) all_0_0_0 = 0 % 7.37/2.39 | % 7.37/2.39 | Equations (19) can reduce 11 to: % 7.37/2.39 | (20) $false % 7.37/2.39 | % 7.37/2.39 |-The branch is then unsatisfiable % 7.37/2.39 |-Branch two: % 7.37/2.39 | (11) ~ (all_0_0_0 = 0) % 7.37/2.39 | (22) uri_ex_u = uri_ex_w % 7.37/2.39 | % 7.37/2.39 | From (22) and (18) follows: % 7.37/2.39 | (23) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = all_9_0_1 % 7.37/2.39 | % 7.37/2.39 | Instantiating formula (3) with uri_rdf_type, uri_ex_w, uri_ex_c, all_9_0_1, 0 and discharging atoms iext(uri_rdf_type, uri_ex_w, uri_ex_c) = all_9_0_1, iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0, yields: % 7.37/2.39 | (24) all_9_0_1 = 0 % 7.37/2.39 | % 7.37/2.39 | Equations (24) can reduce 17 to: % 7.37/2.39 | (20) $false % 7.37/2.39 | % 7.37/2.39 |-The branch is then unsatisfiable % 7.37/2.39 % SZS output end Proof for theBenchmark % 7.37/2.39 % 7.37/2.39 1753ms %------------------------------------------------------------------------------