%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB008+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 18:59:36 EDT 2022 % Result : Theorem 2.77s 1.43s % Output : Proof 3.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB008+2 : TPTP v8.1.0. Released v5.2.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 02:36:55 EDT 2022 % 0.12/0.34 % 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 ... % 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.29/0.90 Prover 0: Preprocessing ... % 1.36/1.00 Prover 0: Warning: ignoring some quantifiers % 1.52/1.01 Prover 0: Constructing countermodel ... % 2.27/1.31 Prover 0: gave up % 2.27/1.31 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 2.27/1.32 Prover 1: Preprocessing ... % 2.55/1.39 Prover 1: Constructing countermodel ... % 2.77/1.43 Prover 1: proved (121ms) % 2.77/1.43 % 2.77/1.43 No countermodel exists, formula is valid % 2.77/1.43 % SZS status Theorem for theBenchmark % 2.77/1.43 % 2.77/1.43 Generating proof ... found it (size 11) % 3.21/1.60 % 3.21/1.60 % SZS output start Proof for theBenchmark % 3.21/1.60 Assumed formulas after preprocessing and simplification: % 3.21/1.60 | (0) ? [v0] : ? [v1] : ( ~ (v1 = 0) & literal_plain(dat_str_xyz) = v0 & iext(uri_foaf_mbox_sha1sum, uri_ex_robert, v0) = 0 & iext(uri_foaf_mbox_sha1sum, uri_ex_bob, v0) = 0 & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = v1 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v3 = v2 | ~ (iext(v6, v5, v4) = v3) | ~ (iext(v6, v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (iext(v2, v4, v5) = 0) | ~ (iext(v2, v3, v5) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v2) = 0)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (icext(v5, v4) = v3) | ~ (icext(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (iext(uri_rdf_type, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & icext(v3, v2) = v5)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (literal_plain(v4) = v3) | ~ (literal_plain(v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (ip(v4) = v3) | ~ (ip(v4) = v2)) & ! [v2] : ! [v3] : (v3 = v2 | ~ (iext(uri_owl_sameAs, v2, v3) = 0)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (iext(uri_owl_sameAs, v2, v2) = v3)) & ! [v2] : ! [v3] : (v3 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & ~ (v5 = v4) & iext(v2, v5, v6) = 0 & iext(v2, v4, v6) = 0) | ( ~ (v4 = 0) & ip(v2) = v4))) & ! [v2] : ! [v3] : ( ~ (iext(uri_rdf_type, v2, v3) = 0) | icext(v3, v2) = 0) & ! [v2] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v2) = 0) | ip(v2) = 0)) % 3.21/1.63 | Instantiating (0) with all_0_0_0, all_0_1_1 yields: % 3.21/1.63 | (1) ~ (all_0_0_0 = 0) & literal_plain(dat_str_xyz) = all_0_1_1 & iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0 & iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0 & iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = all_0_0_0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 & iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (iext(v0, v2, v3) = 0) | ~ (iext(v0, v1, v3) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_rdf_type, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (iext(uri_owl_sameAs, v0, v1) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & ~ (v3 = v2) & iext(v0, v3, v4) = 0 & iext(v0, v2, v4) = 0) | ( ~ (v2 = 0) & ip(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | icext(v1, v0) = 0) & ! [v0] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | ip(v0) = 0) % 3.50/1.63 | % 3.50/1.63 | Applying alpha-rule on (1) yields: % 3.50/1.63 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (iext(v0, v2, v3) = 0) | ~ (iext(v0, v1, v3) = 0) | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0)) % 3.50/1.63 | (3) iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0 % 3.50/1.63 | (4) ! [v0] : ! [v1] : (v1 = v0 | ~ (iext(uri_owl_sameAs, v0, v1) = 0)) % 3.50/1.63 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) % 3.50/1.63 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iext(uri_rdf_type, v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) % 3.50/1.64 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) % 3.50/1.64 | (8) iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_DatatypeProperty) = 0 % 3.50/1.64 | (9) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_robert) = all_0_0_0 % 3.50/1.64 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, v3, v2) = v0)) % 3.50/1.64 | (11) literal_plain(dat_str_xyz) = all_0_1_1 % 3.50/1.64 | (12) iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0 % 3.50/1.64 | (13) ~ (all_0_0_0 = 0) % 3.50/1.64 | (14) ! [v0] : ( ~ (icext(uri_owl_InverseFunctionalProperty, v0) = 0) | ip(v0) = 0) % 3.50/1.64 | (15) iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0 % 3.50/1.64 | (16) ! [v0] : ! [v1] : (v1 = 0 | ~ (icext(uri_owl_InverseFunctionalProperty, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = 0 & v5 = 0 & ~ (v3 = v2) & iext(v0, v3, v4) = 0 & iext(v0, v2, v4) = 0) | ( ~ (v2 = 0) & ip(v0) = v2))) % 3.50/1.64 | (17) ! [v0] : ! [v1] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | icext(v1, v0) = 0) % 3.50/1.64 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) % 3.50/1.64 | (19) ! [v0] : ! [v1] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1)) % 3.50/1.64 | % 3.50/1.64 | Instantiating formula (19) with all_0_0_0, uri_ex_bob yields: % 3.50/1.64 | (20) all_0_0_0 = 0 | ~ (iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0) % 3.50/1.64 | % 3.50/1.64 | Instantiating formula (17) with uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum and discharging atoms iext(uri_rdf_type, uri_foaf_mbox_sha1sum, uri_owl_InverseFunctionalProperty) = 0, yields: % 3.50/1.64 | (21) icext(uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum) = 0 % 3.50/1.64 | % 3.50/1.64 +-Applying beta-rule and splitting (20), into two cases. % 3.50/1.64 |-Branch one: % 3.50/1.64 | (22) ~ (iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0) % 3.50/1.64 | % 3.50/1.64 | Instantiating formula (2) with all_0_1_1, uri_ex_robert, uri_ex_bob, uri_foaf_mbox_sha1sum and discharging atoms iext(uri_foaf_mbox_sha1sum, uri_ex_robert, all_0_1_1) = 0, iext(uri_foaf_mbox_sha1sum, uri_ex_bob, all_0_1_1) = 0, icext(uri_owl_InverseFunctionalProperty, uri_foaf_mbox_sha1sum) = 0, yields: % 3.50/1.64 | (23) uri_ex_robert = uri_ex_bob % 3.50/1.64 | % 3.50/1.64 | Using (9) and (22) yields: % 3.50/1.64 | (24) ~ (uri_ex_robert = uri_ex_bob) % 3.50/1.64 | % 3.50/1.64 | Equations (23) can reduce 24 to: % 3.50/1.64 | (25) $false % 3.50/1.64 | % 3.50/1.64 |-The branch is then unsatisfiable % 3.50/1.64 |-Branch two: % 3.50/1.64 | (26) iext(uri_owl_sameAs, uri_ex_bob, uri_ex_bob) = all_0_0_0 % 3.50/1.64 | (27) all_0_0_0 = 0 % 3.50/1.64 | % 3.50/1.64 | Equations (27) can reduce 13 to: % 3.50/1.64 | (25) $false % 3.50/1.64 | % 3.50/1.64 |-The branch is then unsatisfiable % 3.50/1.64 % SZS output end Proof for theBenchmark % 3.50/1.64 % 3.50/1.64 1042ms %------------------------------------------------------------------------------