%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n020.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 18:59:44 EDT 2022 % Result : Theorem 2.30s 1.23s % Output : Proof 3.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n020.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 05:13:38 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 ... % 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.37/0.90 Prover 0: Preprocessing ... % 1.64/1.02 Prover 0: Warning: ignoring some quantifiers % 1.64/1.04 Prover 0: Constructing countermodel ... % 2.30/1.22 Prover 0: proved (584ms) % 2.30/1.23 % 2.30/1.23 No countermodel exists, formula is valid % 2.30/1.23 % SZS status Theorem for theBenchmark % 2.30/1.23 % 2.30/1.23 Generating proof ... Warning: ignoring some quantifiers % 3.04/1.42 found it (size 7) % 3.04/1.42 % 3.04/1.42 % SZS output start Proof for theBenchmark % 3.04/1.42 Assumed formulas after preprocessing and simplification: % 3.04/1.42 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (iext(uri_owl_intersectionOf, v0, v2) & iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_first, v3, v1) & iext(uri_rdf_first, v2, uri_ex_A) & iext(uri_owl_complementOf, v1, uri_ex_A) & iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class) & iext(uri_rdf_type, uri_ex_w, v0) & ~ iext(uri_rdf_type, uri_ex_w, uri_ex_B) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ icext(v8, v9) | ~ icext(v6, v9) | ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | icext(v4, v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ icext(v4, v9) | ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | icext(v8, v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ icext(v4, v9) | ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | icext(v6, v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ ic(v8) | ~ ic(v6) | ~ ic(v4) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | iext(uri_owl_intersectionOf, v4, v5) | ? [v9] : (( ~ icext(v8, v9) | ~ icext(v6, v9) | ~ icext(v4, v9)) & (icext(v4, v9) | (icext(v8, v9) & icext(v6, v9))))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | ic(v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | ic(v6)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ iext(uri_owl_intersectionOf, v4, v5) | ~ iext(uri_rdf_rest, v7, uri_rdf_nil) | ~ iext(uri_rdf_rest, v5, v7) | ~ iext(uri_rdf_first, v7, v8) | ~ iext(uri_rdf_first, v5, v6) | ic(v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ icext(v5, v6) | ~ icext(v4, v6) | ~ iext(uri_owl_complementOf, v4, v5)) & ? [v4] : ! [v5] : ! [v6] : ( ~ iext(uri_owl_complementOf, v5, v6) | icext(v6, v4) | icext(v5, v4)) & ! [v4] : ! [v5] : ( ~ icext(v5, v4) | iext(uri_rdf_type, v4, v5)) & ! [v4] : ! [v5] : ( ~ iext(uri_owl_complementOf, v4, v5) | ic(v5)) & ! [v4] : ! [v5] : ( ~ iext(uri_owl_complementOf, v4, v5) | ic(v4)) & ! [v4] : ! [v5] : ( ~ iext(uri_rdf_type, v4, v5) | icext(v5, v4))) % 3.04/1.44 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields: % 3.04/1.44 | (1) iext(uri_owl_intersectionOf, all_0_3_3, all_0_1_1) & 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_first, all_0_0_0, all_0_2_2) & iext(uri_rdf_first, all_0_1_1, uri_ex_A) & iext(uri_owl_complementOf, all_0_2_2, uri_ex_A) & iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class) & iext(uri_rdf_type, uri_ex_w, all_0_3_3) & ~ iext(uri_rdf_type, uri_ex_w, uri_ex_B) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v4, v5) | ~ icext(v2, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ic(v4) | ~ ic(v2) | ~ ic(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_intersectionOf, v0, v1) | ? [v5] : (( ~ icext(v4, v5) | ~ icext(v2, v5) | ~ icext(v0, v5)) & (icext(v0, v5) | (icext(v4, v5) & icext(v2, v5))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ icext(v0, v2) | ~ iext(uri_owl_complementOf, v0, v1)) & ? [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_owl_complementOf, v1, v2) | icext(v2, v0) | icext(v1, v0)) & ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_complementOf, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_complementOf, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 3.04/1.45 | % 3.04/1.45 | Applying alpha-rule on (1) yields: % 3.04/1.45 | (2) ! [v0] : ! [v1] : ( ~ iext(uri_owl_complementOf, v0, v1) | ic(v0)) % 3.04/1.45 | (3) iext(uri_rdf_type, uri_ex_B, uri_owl_Class) % 3.04/1.45 | (4) ~ iext(uri_rdf_type, uri_ex_w, uri_ex_B) % 3.04/1.45 | (5) iext(uri_rdf_rest, all_0_1_1, all_0_0_0) % 3.04/1.45 | (6) iext(uri_rdf_type, uri_ex_A, uri_owl_Class) % 3.04/1.45 | (7) iext(uri_rdf_first, all_0_1_1, uri_ex_A) % 3.04/1.45 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v2, v5)) % 3.04/1.45 | (9) iext(uri_owl_complementOf, all_0_2_2, uri_ex_A) % 3.04/1.45 | (10) iext(uri_rdf_first, all_0_0_0, all_0_2_2) % 3.04/1.45 | (11) ? [v0] : ! [v1] : ! [v2] : ( ~ iext(uri_owl_complementOf, v1, v2) | icext(v2, v0) | icext(v1, v0)) % 3.04/1.45 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0)) % 3.04/1.45 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v0, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v4, v5)) % 3.04/1.45 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4)) % 3.04/1.45 | (15) iext(uri_rdf_type, uri_ex_w, all_0_3_3) % 3.04/1.45 | (16) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 3.04/1.45 | (17) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) % 3.04/1.45 | (18) iext(uri_owl_intersectionOf, all_0_3_3, all_0_1_1) % 3.04/1.45 | (19) iext(uri_rdf_rest, all_0_0_0, uri_rdf_nil) % 3.04/1.45 | (20) ! [v0] : ! [v1] : ( ~ iext(uri_owl_complementOf, v0, v1) | ic(v1)) % 3.04/1.45 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2)) % 3.04/1.46 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v4, v5) | ~ icext(v2, v5) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v0, v5)) % 3.04/1.46 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ ic(v4) | ~ ic(v2) | ~ ic(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | iext(uri_owl_intersectionOf, v0, v1) | ? [v5] : (( ~ icext(v4, v5) | ~ icext(v2, v5) | ~ icext(v0, v5)) & (icext(v0, v5) | (icext(v4, v5) & icext(v2, v5))))) % 3.04/1.46 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ icext(v0, v2) | ~ iext(uri_owl_complementOf, v0, v1)) % 3.04/1.46 | % 3.04/1.46 | Instantiating formula (16) with all_0_3_3, uri_ex_w and discharging atoms iext(uri_rdf_type, uri_ex_w, all_0_3_3), yields: % 3.04/1.46 | (25) icext(all_0_3_3, uri_ex_w) % 3.04/1.46 | % 3.04/1.46 | Instantiating formula (13) with uri_ex_w, all_0_2_2, all_0_0_0, uri_ex_A, all_0_1_1, all_0_3_3 and discharging atoms icext(all_0_3_3, uri_ex_w), iext(uri_owl_intersectionOf, all_0_3_3, all_0_1_1), 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_first, all_0_0_0, all_0_2_2), iext(uri_rdf_first, all_0_1_1, uri_ex_A), yields: % 3.04/1.46 | (26) icext(all_0_2_2, uri_ex_w) % 3.04/1.46 | % 3.04/1.46 | Instantiating formula (8) with uri_ex_w, all_0_2_2, all_0_0_0, uri_ex_A, all_0_1_1, all_0_3_3 and discharging atoms icext(all_0_3_3, uri_ex_w), iext(uri_owl_intersectionOf, all_0_3_3, all_0_1_1), 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_first, all_0_0_0, all_0_2_2), iext(uri_rdf_first, all_0_1_1, uri_ex_A), yields: % 3.21/1.46 | (27) icext(uri_ex_A, uri_ex_w) % 3.21/1.46 | % 3.21/1.46 | Instantiating formula (24) with uri_ex_w, uri_ex_A, all_0_2_2 and discharging atoms icext(all_0_2_2, uri_ex_w), icext(uri_ex_A, uri_ex_w), iext(uri_owl_complementOf, all_0_2_2, uri_ex_A), yields: % 3.21/1.46 | (28) $false % 3.21/1.46 | % 3.21/1.46 |-The branch is then unsatisfiable % 3.21/1.46 % SZS output end Proof for theBenchmark % 3.21/1.46 % 3.21/1.46 862ms %------------------------------------------------------------------------------