%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.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 18:59:37 EDT 2022 % Result : Theorem 2.98s 1.39s % Output : Proof 4.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWB012+2 : TPTP v8.1.0. Released v5.2.0. % 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.14/0.34 % Computer : n021.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Wed Jun 1 05:35:00 EDT 2022 % 0.14/0.35 % CPUTime : % 0.58/0.62 ____ _ % 0.58/0.62 ___ / __ \_____(_)___ ________ __________ % 0.58/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.58/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.58/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.58/0.62 % 0.58/0.62 A Theorem Prover for First-Order Logic % 0.58/0.62 (ePrincess v.1.0) % 0.58/0.62 % 0.58/0.62 (c) Philipp Rümmer, 2009-2015 % 0.58/0.62 (c) Peter Backeman, 2014-2015 % 0.58/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.58/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.58/0.62 Bug reports to peter@backeman.se % 0.58/0.62 % 0.58/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.58/0.62 % 0.58/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.50/0.97 Prover 0: Preprocessing ... % 1.90/1.16 Prover 0: Constructing countermodel ... % 2.98/1.39 Prover 0: proved (719ms) % 2.98/1.39 % 2.98/1.39 No countermodel exists, formula is valid % 2.98/1.39 % SZS status Theorem for theBenchmark % 2.98/1.39 % 2.98/1.39 Generating proof ... found it (size 13) % 4.01/1.65 % 4.01/1.65 % SZS output start Proof for theBenchmark % 4.01/1.65 Assumed formulas after preprocessing and simplification: % 4.01/1.65 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (literal_plain(dat_str_alice) = v0 & iext(uri_ex_name, uri_ex_alice, v0) & iext(uri_owl_onProperty, v4, uri_rdfs_domain) & iext(uri_owl_hasValue, v4, uri_foaf_Person) & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, v1) & iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v3, v4) & iext(uri_rdf_first, v2, uri_owl_FunctionalProperty) & iext(uri_rdf_first, v1, uri_owl_DatatypeProperty) & iext(uri_rdf_type, v4, uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) & iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ icext(v11, v12) | ~ icext(v9, v12) | ~ icext(v7, v12) | ~ iext(uri_owl_intersectionOf, 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) | icext(v5, v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ icext(v5, v12) | ~ iext(uri_owl_intersectionOf, 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) | icext(v11, v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ icext(v5, v12) | ~ iext(uri_owl_intersectionOf, 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) | icext(v9, v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ icext(v5, v12) | ~ iext(uri_owl_intersectionOf, 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) | icext(v7, v12)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ ic(v11) | ~ ic(v9) | ~ ic(v7) | ~ ic(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_intersectionOf, v5, v6) | ? [v12] : (( ~ icext(v11, v12) | ~ icext(v9, v12) | ~ icext(v7, v12) | ~ icext(v5, v12)) & (icext(v5, v12) | (icext(v11, v12) & icext(v9, v12) & icext(v7, v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ icext(v5, v8) | ~ iext(uri_owl_onProperty, v5, v6) | ~ iext(uri_owl_hasValue, v5, v7) | iext(v6, v8, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v6, v8, v7) | ~ iext(uri_owl_onProperty, v5, v6) | ~ iext(uri_owl_hasValue, v5, v7) | icext(v5, v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(v5, v7, v8) | ~ iext(uri_rdfs_domain, v5, v6) | icext(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (literal_plain(v7) = v6) | ~ (literal_plain(v7) = v5)) & ! [v5] : ! [v6] : ( ~ icext(v6, v5) | iext(uri_rdf_type, v5, v6)) & ! [v5] : ! [v6] : ( ~ iext(uri_rdf_type, v5, v6) | icext(v6, v5)) & ( ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty))) % 4.34/1.70 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 4.34/1.70 | (1) literal_plain(dat_str_alice) = all_0_4_4 & iext(uri_ex_name, uri_ex_alice, all_0_4_4) & iext(uri_owl_onProperty, all_0_0_0, uri_rdfs_domain) & iext(uri_owl_hasValue, all_0_0_0, uri_foaf_Person) & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_0_3_3) & iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil) & iext(uri_rdf_rest, all_0_2_2, all_0_1_1) & iext(uri_rdf_rest, all_0_3_3, all_0_2_2) & iext(uri_rdf_first, all_0_1_1, all_0_0_0) & iext(uri_rdf_first, all_0_2_2, uri_owl_FunctionalProperty) & iext(uri_rdf_first, all_0_3_3, uri_owl_DatatypeProperty) & iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) & iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v0, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v6, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v4, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v2, v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ ic(v6) | ~ ic(v4) | ~ ic(v2) | ~ ic(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_intersectionOf, v0, v1) | ? [v7] : (( ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ icext(v0, v7)) & (icext(v0, v7) | (icext(v6, v7) & icext(v4, v7) & icext(v2, v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) | iext(v1, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) | icext(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) & ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) & ( ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty)) % 4.34/1.71 | % 4.34/1.71 | Applying alpha-rule on (1) yields: % 4.34/1.72 | (2) iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil) % 4.34/1.72 | (3) iext(uri_owl_hasValue, all_0_0_0, uri_foaf_Person) % 4.34/1.72 | (4) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 4.34/1.72 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v2)) % 4.34/1.72 | (6) iext(uri_rdf_first, all_0_1_1, all_0_0_0) % 4.34/1.72 | (7) iext(uri_rdf_rest, all_0_2_2, all_0_1_1) % 4.34/1.72 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v0)) % 4.34/1.72 | (9) iext(uri_rdf_first, all_0_2_2, uri_owl_FunctionalProperty) % 4.34/1.72 | (10) iext(uri_rdf_first, all_0_3_3, uri_owl_DatatypeProperty) % 4.34/1.72 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) | iext(v1, v3, v2)) % 4.34/1.72 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v0, v7)) % 4.34/1.72 | (13) iext(uri_owl_onProperty, all_0_0_0, uri_rdfs_domain) % 4.34/1.72 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v2, v7)) % 4.34/1.72 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) | icext(v0, v3)) % 4.34/1.72 | (16) iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) % 4.34/1.72 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ ic(v6) | ~ ic(v4) | ~ ic(v2) | ~ ic(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_intersectionOf, v0, v1) | ? [v7] : (( ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ icext(v0, v7)) & (icext(v0, v7) | (icext(v6, v7) & icext(v4, v7) & icext(v2, v7))))) % 4.34/1.72 | (18) iext(uri_rdf_rest, all_0_3_3, all_0_2_2) % 4.34/1.72 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v4)) % 4.34/1.72 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v4, v7)) % 4.34/1.73 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, 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) | icext(v6, v7)) % 4.34/1.73 | (22) iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) % 4.34/1.73 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 4.34/1.73 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_intersectionOf, 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) | ic(v6)) % 4.34/1.73 | (25) iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction) % 4.34/1.73 | (26) iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_0_3_3) % 4.34/1.73 | (27) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 4.34/1.73 | (28) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) % 4.34/1.73 | (29) iext(uri_ex_name, uri_ex_alice, all_0_4_4) % 4.34/1.73 | (30) literal_plain(dat_str_alice) = all_0_4_4 % 4.34/1.73 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) % 4.34/1.73 | % 4.34/1.73 | Instantiating formula (27) with uri_ex_PersonAttribute, uri_ex_name and discharging atoms iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute), yields: % 4.34/1.73 | (32) icext(uri_ex_PersonAttribute, uri_ex_name) % 4.34/1.73 | % 4.34/1.73 | Instantiating formula (21) with uri_ex_name, all_0_0_0, all_0_1_1, uri_owl_FunctionalProperty, all_0_2_2, uri_owl_DatatypeProperty, all_0_3_3, uri_ex_PersonAttribute and discharging atoms icext(uri_ex_PersonAttribute, uri_ex_name), iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_0_3_3), iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil), iext(uri_rdf_rest, all_0_2_2, all_0_1_1), iext(uri_rdf_rest, all_0_3_3, all_0_2_2), iext(uri_rdf_first, all_0_1_1, all_0_0_0), iext(uri_rdf_first, all_0_2_2, uri_owl_FunctionalProperty), iext(uri_rdf_first, all_0_3_3, uri_owl_DatatypeProperty), yields: % 4.34/1.73 | (33) icext(all_0_0_0, uri_ex_name) % 4.34/1.73 | % 4.34/1.73 | Instantiating formula (20) with uri_ex_name, all_0_0_0, all_0_1_1, uri_owl_FunctionalProperty, all_0_2_2, uri_owl_DatatypeProperty, all_0_3_3, uri_ex_PersonAttribute and discharging atoms icext(uri_ex_PersonAttribute, uri_ex_name), iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_0_3_3), iext(uri_rdf_rest, all_0_1_1, uri_rdf_nil), iext(uri_rdf_rest, all_0_2_2, all_0_1_1), iext(uri_rdf_rest, all_0_3_3, all_0_2_2), iext(uri_rdf_first, all_0_1_1, all_0_0_0), iext(uri_rdf_first, all_0_2_2, uri_owl_FunctionalProperty), iext(uri_rdf_first, all_0_3_3, uri_owl_DatatypeProperty), yields: % 4.34/1.73 | (34) icext(uri_owl_FunctionalProperty, uri_ex_name) % 4.34/1.73 | % 4.34/1.73 | Instantiating formula (11) with uri_ex_name, uri_foaf_Person, uri_rdfs_domain, all_0_0_0 and discharging atoms icext(all_0_0_0, uri_ex_name), iext(uri_owl_onProperty, all_0_0_0, uri_rdfs_domain), iext(uri_owl_hasValue, all_0_0_0, uri_foaf_Person), yields: % 4.34/1.73 | (35) iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person) % 4.34/1.73 | % 4.34/1.73 | Instantiating formula (28) with uri_owl_FunctionalProperty, uri_ex_name and discharging atoms icext(uri_owl_FunctionalProperty, uri_ex_name), yields: % 4.34/1.73 | (36) iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 4.34/1.73 | % 4.34/1.73 +-Applying beta-rule and splitting (4), into two cases. % 4.34/1.73 |-Branch one: % 4.34/1.73 | (37) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) % 4.34/1.74 | % 4.34/1.74 | Instantiating formula (23) with all_0_4_4, uri_ex_alice, uri_foaf_Person, uri_ex_name and discharging atoms iext(uri_ex_name, uri_ex_alice, all_0_4_4), iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person), yields: % 4.34/1.74 | (38) icext(uri_foaf_Person, uri_ex_alice) % 4.34/1.74 | % 4.34/1.74 | Instantiating formula (28) with uri_foaf_Person, uri_ex_alice and discharging atoms icext(uri_foaf_Person, uri_ex_alice), ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person), yields: % 4.34/1.74 | (39) $false % 4.34/1.74 | % 4.34/1.74 |-The branch is then unsatisfiable % 4.34/1.74 |-Branch two: % 4.34/1.74 | (40) iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) % 4.34/1.74 | (41) ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 4.34/1.74 | % 4.34/1.74 | Using (36) and (41) yields: % 4.34/1.74 | (39) $false % 4.34/1.74 | % 4.34/1.74 |-The branch is then unsatisfiable % 4.34/1.74 % SZS output end Proof for theBenchmark % 4.34/1.74 % 4.34/1.74 1111ms %------------------------------------------------------------------------------