%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.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 18:59:38 EDT 2022 % Result : Theorem 3.82s 1.54s % Output : Proof 6.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n019.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 : Wed Jun 1 11:28:40 EDT 2022 % 0.12/0.33 % 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 ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.45/0.93 Prover 0: Preprocessing ... % 1.84/1.10 Prover 0: Warning: ignoring some quantifiers % 1.84/1.12 Prover 0: Constructing countermodel ... % 3.82/1.54 Prover 0: proved (902ms) % 3.82/1.54 % 3.82/1.54 No countermodel exists, formula is valid % 3.82/1.54 % SZS status Theorem for theBenchmark % 3.82/1.54 % 3.82/1.54 Generating proof ... Warning: ignoring some quantifiers % 5.55/1.95 found it (size 13) % 5.55/1.95 % 5.55/1.95 % SZS output start Proof for theBenchmark % 5.55/1.95 Assumed formulas after preprocessing and simplification: % 5.55/1.95 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (iext(uri_rdfs_range, uri_ex_sameCliqueAs, uri_ex_Clique) & iext(uri_owl_inverseOf, v1, uri_rdf_type) & iext(uri_owl_propertyChainAxiom, uri_foaf_knows, v2) & iext(uri_rdf_rest, v4, uri_rdf_nil) & iext(uri_rdf_rest, v3, v4) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_first, v4, v1) & iext(uri_rdf_first, v3, uri_ex_sameCliqueAs) & iext(uri_rdf_first, v2, uri_rdf_type) & iext(uri_rdfs_subPropertyOf, uri_ex_sameCliqueAs, uri_owl_sameAs) & iext(uri_rdfs_subClassOf, uri_ex_Clique, v0) & iext(uri_owl_onProperty, v0, uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom, v0, uri_ex_Clique) & iext(uri_rdf_type, v0, uri_owl_Restriction) & iext(uri_rdf_type, uri_ex_JoesGang, uri_ex_Clique) & iext(uri_rdf_type, uri_ex_Clique, uri_owl_Class) & iext(uri_rdf_type, uri_ex_bob, uri_ex_JoesGang) & iext(uri_rdf_type, uri_ex_alice, uri_ex_JoesGang) & iext(uri_rdf_type, uri_foaf_knows, uri_owl_ObjectProperty) & ~ iext(uri_foaf_knows, uri_ex_alice, uri_ex_bob) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ iext(v11, v14, v15) | ~ iext(v9, v13, v14) | ~ iext(v7, v12, v13) | ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | iext(v5, v12, v15)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ ip(v11) | ~ ip(v9) | ~ ip(v7) | ~ ip(v5) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | iext(uri_owl_propertyChainAxiom, v5, v6) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (iext(v11, v14, v15) & iext(v9, v13, v14) & iext(v7, v12, v13) & ~ iext(v5, v12, v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_propertyChainAxiom, v5, v6) | ~ iext(uri_rdf_rest, v10, uri_rdf_nil) | ~ iext(uri_rdf_rest, v8, v10) | ~ iext(uri_rdf_rest, v6, v8) | ~ iext(uri_rdf_first, v10, v11) | ~ iext(uri_rdf_first, v8, v9) | ~ iext(uri_rdf_first, v6, v7) | ip(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ icext(v7, v9) | ~ iext(v6, v8, v9) | ~ iext(uri_owl_onProperty, v5, v6) | ~ iext(uri_owl_someValuesFrom, v5, v7) | icext(v5, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ icext(v5, v8) | ~ iext(uri_owl_onProperty, v5, v6) | ~ iext(uri_owl_someValuesFrom, v5, v7) | ? [v9] : (icext(v7, v9) & iext(v6, v8, v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v6, v8, v7) | ~ iext(uri_owl_inverseOf, v5, v6) | iext(v5, v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v5, v7, v8) | ~ iext(uri_owl_inverseOf, v5, v6) | iext(v6, v8, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v5, v7, v8) | ~ iext(uri_rdfs_subPropertyOf, v5, v6) | iext(v6, v7, v8)) & ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v5, v7) | ~ iext(uri_rdfs_subClassOf, v5, v6) | icext(v6, v7)) & ! [v5] : ! [v6] : (v6 = v5 | ~ iext(uri_owl_sameAs, v5, v6)) & ! [v5] : ! [v6] : ( ~ ip(v6) | ~ ip(v5) | iext(uri_owl_inverseOf, v5, v6) | ? [v7] : ? [v8] : (( ~ iext(v6, v8, v7) | ~ iext(v5, v7, v8)) & (iext(v6, v8, v7) | iext(v5, v7, v8)))) & ! [v5] : ! [v6] : ( ~ ip(v6) | ~ ip(v5) | iext(uri_rdfs_subPropertyOf, v5, v6) | ? [v7] : ? [v8] : (iext(v5, v7, v8) & ~ iext(v6, v7, v8))) & ! [v5] : ! [v6] : ( ~ ic(v6) | ~ ic(v5) | iext(uri_rdfs_subClassOf, v5, v6) | ? [v7] : (icext(v5, v7) & ~ icext(v6, v7))) & ! [v5] : ! [v6] : ( ~ icext(v6, v5) | iext(uri_rdf_type, v5, v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_owl_inverseOf, v5, v6) | ip(v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_owl_inverseOf, v5, v6) | ip(v5)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdfs_subPropertyOf, v5, v6) | ip(v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdfs_subPropertyOf, v5, v6) | ip(v5)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdfs_subClassOf, v5, v6) | ic(v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdfs_subClassOf, v5, v6) | ic(v5)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdf_type, v5, v6) | icext(v6, v5)) & ? [v5] : iext(uri_owl_sameAs, v5, v5)) % 5.55/1.97 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 5.55/1.97 | (1) iext(uri_rdfs_range, uri_ex_sameCliqueAs, uri_ex_Clique) & iext(uri_owl_inverseOf, all_0_3_3, uri_rdf_type) & iext(uri_owl_propertyChainAxiom, uri_foaf_knows, all_0_2_2) & iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil) & iext(uri_rdf_rest, all_0_1_1, all_0_0_0) & iext(uri_rdf_rest, all_0_2_2, all_0_1_1) & iext(uri_rdf_first, all_0_0_0, all_0_3_3) & iext(uri_rdf_first, all_0_1_1, uri_ex_sameCliqueAs) & iext(uri_rdf_first, all_0_2_2, uri_rdf_type) & iext(uri_rdfs_subPropertyOf, uri_ex_sameCliqueAs, uri_owl_sameAs) & iext(uri_rdfs_subClassOf, uri_ex_Clique, all_0_4_4) & iext(uri_owl_onProperty, all_0_4_4, uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom, all_0_4_4, uri_ex_Clique) & iext(uri_rdf_type, all_0_4_4, uri_owl_Restriction) & iext(uri_rdf_type, uri_ex_JoesGang, uri_ex_Clique) & iext(uri_rdf_type, uri_ex_Clique, uri_owl_Class) & iext(uri_rdf_type, uri_ex_bob, uri_ex_JoesGang) & iext(uri_rdf_type, uri_ex_alice, uri_ex_JoesGang) & iext(uri_rdf_type, uri_foaf_knows, uri_owl_ObjectProperty) & ~ iext(uri_foaf_knows, uri_ex_alice, uri_ex_bob) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ iext(v6, v9, v10) | ~ iext(v4, v8, v9) | ~ iext(v2, v7, v8) | ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(v0, v7, v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ ip(v6) | ~ ip(v4) | ~ ip(v2) | ~ ip(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_propertyChainAxiom, v0, v1) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (iext(v6, v9, v10) & iext(v4, v8, v9) & iext(v2, v7, v8) & ~ iext(v0, v7, v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(v1, v3, v4) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | icext(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | ? [v4] : (icext(v2, v4) & iext(v1, v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1)) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3)))) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3))) & ! [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] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(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] : iext(uri_owl_sameAs, v0, v0) % 5.93/1.98 | % 5.93/1.98 | Applying alpha-rule on (1) yields: % 5.93/1.98 | (2) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2))) % 5.93/1.98 | (3) iext(uri_rdf_type, uri_ex_alice, uri_ex_JoesGang) % 5.93/1.98 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2)) % 5.93/1.99 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v0)) % 5.93/1.99 | (6) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0)) % 5.93/1.99 | (7) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) % 5.93/1.99 | (8) ~ iext(uri_foaf_knows, uri_ex_alice, uri_ex_bob) % 5.93/1.99 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v2)) % 5.93/1.99 | (10) iext(uri_rdf_type, uri_ex_bob, uri_ex_JoesGang) % 5.93/1.99 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) % 5.93/1.99 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) % 5.93/1.99 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | ? [v4] : (icext(v2, v4) & iext(v1, v3, v4))) % 5.93/1.99 | (14) ? [v0] : iext(uri_owl_sameAs, v0, v0) % 5.93/1.99 | (15) iext(uri_owl_inverseOf, all_0_3_3, uri_rdf_type) % 5.93/1.99 | (16) iext(uri_rdf_first, all_0_0_0, all_0_3_3) % 5.93/1.99 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1)) % 5.93/1.99 | (18) iext(uri_rdf_rest, all_0_1_1, all_0_0_0) % 5.93/1.99 | (19) iext(uri_rdf_first, all_0_2_2, uri_rdf_type) % 5.93/1.99 | (20) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1)) % 5.93/1.99 | (21) iext(uri_rdf_rest, all_0_2_2, all_0_1_1) % 5.93/1.99 | (22) iext(uri_owl_onProperty, all_0_4_4, uri_ex_sameCliqueAs) % 5.93/1.99 | (23) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) % 5.93/1.99 | (24) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0)) % 5.93/1.99 | (25) iext(uri_owl_propertyChainAxiom, uri_foaf_knows, all_0_2_2) % 5.93/1.99 | (26) iext(uri_rdfs_range, uri_ex_sameCliqueAs, uri_ex_Clique) % 5.93/1.99 | (27) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 5.93/1.99 | (28) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) % 5.93/1.99 | (29) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3)))) % 5.93/1.99 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ ip(v6) | ~ ip(v4) | ~ ip(v2) | ~ ip(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_propertyChainAxiom, v0, v1) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (iext(v6, v9, v10) & iext(v4, v8, v9) & iext(v2, v7, v8) & ~ iext(v0, v7, v10))) % 5.93/1.99 | (31) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3))) % 5.93/1.99 | (32) iext(uri_rdf_first, all_0_1_1, uri_ex_sameCliqueAs) % 5.93/1.99 | (33) iext(uri_rdf_type, uri_ex_JoesGang, uri_ex_Clique) % 5.93/1.99 | (34) iext(uri_rdfs_subPropertyOf, uri_ex_sameCliqueAs, uri_owl_sameAs) % 5.93/1.99 | (35) iext(uri_rdf_type, uri_foaf_knows, uri_owl_ObjectProperty) % 5.93/1.99 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) % 5.93/1.99 | (37) iext(uri_rdf_type, uri_ex_Clique, uri_owl_Class) % 5.93/1.99 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v4)) % 5.93/2.00 | (39) iext(uri_rdf_type, all_0_4_4, uri_owl_Restriction) % 5.93/2.00 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ iext(v6, v9, v10) | ~ iext(v4, v8, v9) | ~ iext(v2, v7, v8) | ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(v0, v7, v10)) % 5.93/2.00 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v6)) % 5.93/2.00 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(v1, v3, v4) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | icext(v0, v3)) % 5.93/2.00 | (43) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) % 5.93/2.00 | (44) iext(uri_rdfs_subClassOf, uri_ex_Clique, all_0_4_4) % 5.93/2.00 | (45) iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil) % 5.93/2.00 | (46) iext(uri_owl_someValuesFrom, all_0_4_4, uri_ex_Clique) % 5.93/2.00 | % 5.93/2.00 | Instantiating formula (27) with uri_ex_Clique, uri_ex_JoesGang and discharging atoms iext(uri_rdf_type, uri_ex_JoesGang, uri_ex_Clique), yields: % 5.93/2.00 | (47) icext(uri_ex_Clique, uri_ex_JoesGang) % 5.93/2.00 | % 5.93/2.00 | Instantiating formula (11) with uri_ex_bob, uri_ex_JoesGang, uri_rdf_type, all_0_3_3 and discharging atoms iext(uri_owl_inverseOf, all_0_3_3, uri_rdf_type), iext(uri_rdf_type, uri_ex_bob, uri_ex_JoesGang), yields: % 5.93/2.00 | (48) iext(all_0_3_3, uri_ex_JoesGang, uri_ex_bob) % 5.93/2.00 | % 5.93/2.00 | Instantiating formula (12) with uri_ex_JoesGang, all_0_4_4, uri_ex_Clique and discharging atoms icext(uri_ex_Clique, uri_ex_JoesGang), iext(uri_rdfs_subClassOf, uri_ex_Clique, all_0_4_4), yields: % 5.93/2.00 | (49) icext(all_0_4_4, uri_ex_JoesGang) % 5.93/2.00 | % 5.93/2.00 | Instantiating formula (13) with uri_ex_JoesGang, uri_ex_Clique, uri_ex_sameCliqueAs, all_0_4_4 and discharging atoms icext(all_0_4_4, uri_ex_JoesGang), iext(uri_owl_onProperty, all_0_4_4, uri_ex_sameCliqueAs), iext(uri_owl_someValuesFrom, all_0_4_4, uri_ex_Clique), yields: % 5.93/2.00 | (50) ? [v0] : (icext(uri_ex_Clique, v0) & iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, v0)) % 6.03/2.00 | % 6.03/2.00 | Instantiating (50) with all_23_0_6 yields: % 6.03/2.00 | (51) icext(uri_ex_Clique, all_23_0_6) & iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, all_23_0_6) % 6.03/2.00 | % 6.03/2.00 | Applying alpha-rule on (51) yields: % 6.03/2.00 | (52) icext(uri_ex_Clique, all_23_0_6) % 6.03/2.00 | (53) iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, all_23_0_6) % 6.03/2.00 | % 6.03/2.00 | Instantiating formula (36) with all_23_0_6, uri_ex_JoesGang, uri_owl_sameAs, uri_ex_sameCliqueAs and discharging atoms iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, all_23_0_6), iext(uri_rdfs_subPropertyOf, uri_ex_sameCliqueAs, uri_owl_sameAs), yields: % 6.03/2.00 | (54) iext(uri_owl_sameAs, uri_ex_JoesGang, all_23_0_6) % 6.03/2.00 | % 6.03/2.00 | Instantiating formula (17) with all_23_0_6, uri_ex_JoesGang and discharging atoms iext(uri_owl_sameAs, uri_ex_JoesGang, all_23_0_6), yields: % 6.03/2.00 | (55) all_23_0_6 = uri_ex_JoesGang % 6.03/2.00 | % 6.03/2.00 | From (55) and (53) follows: % 6.03/2.00 | (56) iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, uri_ex_JoesGang) % 6.03/2.00 | % 6.03/2.00 | Instantiating formula (40) with uri_ex_bob, uri_ex_JoesGang, uri_ex_JoesGang, uri_ex_alice, all_0_3_3, all_0_0_0, uri_ex_sameCliqueAs, all_0_1_1, uri_rdf_type, all_0_2_2, uri_foaf_knows and discharging atoms iext(all_0_3_3, uri_ex_JoesGang, uri_ex_bob), iext(uri_ex_sameCliqueAs, uri_ex_JoesGang, uri_ex_JoesGang), iext(uri_owl_propertyChainAxiom, uri_foaf_knows, all_0_2_2), iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil), iext(uri_rdf_rest, all_0_1_1, all_0_0_0), iext(uri_rdf_rest, all_0_2_2, all_0_1_1), iext(uri_rdf_first, all_0_0_0, all_0_3_3), iext(uri_rdf_first, all_0_1_1, uri_ex_sameCliqueAs), iext(uri_rdf_first, all_0_2_2, uri_rdf_type), iext(uri_rdf_type, uri_ex_alice, uri_ex_JoesGang), ~ iext(uri_foaf_knows, uri_ex_alice, uri_ex_bob), yields: % 6.03/2.01 | (57) $false % 6.03/2.01 | % 6.03/2.01 |-The branch is then unsatisfiable % 6.03/2.01 % SZS output end Proof for theBenchmark % 6.03/2.01 % 6.03/2.01 1409ms %------------------------------------------------------------------------------