%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0. % 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 : Tue Jul 19 18:59:39 EDT 2022 % Result : Theorem 2.39s 1.19s % Output : Proof 3.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 1 03:35:36 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.59 ____ _ % 0.19/0.59 ___ / __ \_____(_)___ ________ __________ % 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic % 0.19/0.59 (ePrincess v.1.0) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2015 % 0.19/0.59 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.49/0.89 Prover 0: Preprocessing ... % 1.80/1.02 Prover 0: Constructing countermodel ... % 2.39/1.19 Prover 0: proved (551ms) % 2.39/1.19 % 2.39/1.19 No countermodel exists, formula is valid % 2.39/1.19 % SZS status Theorem for theBenchmark % 2.39/1.19 % 2.39/1.19 Generating proof ... found it (size 14) % 3.16/1.41 % 3.16/1.41 % SZS output start Proof for theBenchmark % 3.16/1.41 Assumed formulas after preprocessing and simplification: % 3.16/1.41 | (0) ip(uri_owl_equivalentClass) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_equivalentClass, v0, v1) | ? [v2] : (( ~ icext(v1, v2) | ~ icext(v0, v2)) & (icext(v1, v2) | icext(v0, v2)))) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2))) & ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3))) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) & ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property)) & ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0)) % 3.16/1.42 | Applying alpha-rule on (0) yields: % 3.16/1.42 | (1) ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0)) % 3.16/1.42 | (2) ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property)) % 3.16/1.42 | (3) ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf) % 3.16/1.42 | (4) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) % 3.16/1.42 | (5) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v0)) % 3.16/1.42 | (6) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3))) % 3.16/1.42 | (7) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0)) % 3.16/1.43 | (8) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) % 3.16/1.43 | (9) iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) % 3.16/1.43 | (10) ip(uri_owl_equivalentClass) % 3.16/1.43 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) % 3.16/1.43 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) % 3.16/1.43 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2)) % 3.16/1.43 | (14) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_equivalentClass, v0, v1) | ? [v2] : (( ~ icext(v1, v2) | ~ icext(v0, v2)) & (icext(v1, v2) | icext(v0, v2)))) % 3.16/1.43 | (15) iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) % 3.16/1.43 | (16) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2))) % 3.16/1.43 | (17) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) % 3.16/1.43 | (18) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 3.16/1.43 | (19) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) % 3.16/1.43 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 3.16/1.43 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2)) % 3.16/1.43 | (22) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v1)) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (20) with uri_rdfs_Class, uri_rdfs_subClassOf, uri_rdf_Property, uri_rdfs_domain and discharging atoms iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), yields: % 3.16/1.43 | (23) icext(uri_rdf_Property, uri_rdfs_subClassOf) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (19) with uri_rdf_Property, uri_rdfs_subClassOf and discharging atoms icext(uri_rdf_Property, uri_rdfs_subClassOf), yields: % 3.16/1.43 | (24) iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (1) with uri_rdfs_subClassOf and discharging atoms iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), yields: % 3.16/1.43 | (25) ip(uri_rdfs_subClassOf) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (6) with uri_rdfs_subClassOf, uri_owl_equivalentClass and discharging atoms ip(uri_owl_equivalentClass), ip(uri_rdfs_subClassOf), ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf), yields: % 3.16/1.43 | (26) ? [v0] : ? [v1] : (iext(uri_owl_equivalentClass, v0, v1) & ~ iext(uri_rdfs_subClassOf, v0, v1)) % 3.16/1.43 | % 3.16/1.43 | Instantiating (26) with all_26_0_0, all_26_1_1 yields: % 3.16/1.43 | (27) iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0) & ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0) % 3.16/1.43 | % 3.16/1.43 | Applying alpha-rule on (27) yields: % 3.16/1.43 | (28) iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0) % 3.16/1.43 | (29) ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (22) with all_26_0_0, all_26_1_1 and discharging atoms iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), yields: % 3.16/1.43 | (30) ic(all_26_0_0) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (5) with all_26_0_0, all_26_1_1 and discharging atoms iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), yields: % 3.16/1.43 | (31) ic(all_26_1_1) % 3.16/1.43 | % 3.16/1.43 | Instantiating formula (16) with all_26_0_0, all_26_1_1 and discharging atoms ic(all_26_0_0), ic(all_26_1_1), ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0), yields: % 3.16/1.44 | (32) ? [v0] : (icext(all_26_1_1, v0) & ~ icext(all_26_0_0, v0)) % 3.16/1.44 | % 3.16/1.44 | Instantiating (32) with all_40_0_2 yields: % 3.16/1.44 | (33) icext(all_26_1_1, all_40_0_2) & ~ icext(all_26_0_0, all_40_0_2) % 3.16/1.44 | % 3.16/1.44 | Applying alpha-rule on (33) yields: % 3.16/1.44 | (34) icext(all_26_1_1, all_40_0_2) % 3.16/1.44 | (35) ~ icext(all_26_0_0, all_40_0_2) % 3.16/1.44 | % 3.16/1.44 | Instantiating formula (21) with all_40_0_2, all_26_0_0, all_26_1_1 and discharging atoms icext(all_26_1_1, all_40_0_2), iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), ~ icext(all_26_0_0, all_40_0_2), yields: % 3.16/1.44 | (36) $false % 3.16/1.44 | % 3.16/1.44 |-The branch is then unsatisfiable % 3.16/1.44 % SZS output end Proof for theBenchmark % 3.16/1.44 % 3.16/1.44 836ms %------------------------------------------------------------------------------