%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : CSR070+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 : Fri Jul 15 02:51:00 EDT 2022 % Result : Theorem 3.51s 1.54s % Output : Proof 4.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR070+1 : TPTP v8.1.0. Released v3.4.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n018.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 : Sat Jun 11 14:32:40 EDT 2022 % 0.12/0.34 % CPUTime : % 0.61/0.60 ____ _ % 0.61/0.60 ___ / __ \_____(_)___ ________ __________ % 0.61/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.61/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.61/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.61/0.60 % 0.61/0.60 A Theorem Prover for First-Order Logic % 0.61/0.61 (ePrincess v.1.0) % 0.61/0.61 % 0.61/0.61 (c) Philipp Rümmer, 2009-2015 % 0.61/0.61 (c) Peter Backeman, 2014-2015 % 0.61/0.61 (contributions by Angelo Brillout, Peter Baumgartner) % 0.61/0.61 Free software under GNU Lesser General Public License (LGPL). % 0.61/0.61 Bug reports to peter@backeman.se % 0.61/0.61 % 0.61/0.61 For more information, visit http://user.uu.se/~petba168/breu/ % 0.61/0.61 % 0.61/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.64/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.84/1.07 Prover 0: Preprocessing ... % 2.43/1.30 Prover 0: Constructing countermodel ... % 3.51/1.54 Prover 0: proved (855ms) % 3.51/1.54 % 3.51/1.54 No countermodel exists, formula is valid % 3.51/1.54 % SZS status Theorem for theBenchmark % 3.51/1.54 % 3.51/1.54 Generating proof ... found it (size 11) % 4.57/1.81 % 4.57/1.81 % SZS output start Proof for theBenchmark % 4.57/1.81 Assumed formulas after preprocessing and simplification: % 4.57/1.81 | (0) ? [v0] : (f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible) = v0 & mtvisible(c_tptp_spindlecollectormt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & genlpreds(c_tptptypes_9_824, c_tptptypes_8_823) & genlpreds(c_tptptypes_8_823, c_tptptypes_7_819) & genlpreds(c_tptptypes_7_819, c_tptptypes_6_818) & genlpreds(c_tptptypes_6_818, c_tptptypes_5_802) & genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) & genlmt(c_cyclistsmt, c_calendarsmt) & genlmt(c_basekb, c_universalvocabularymt) & genlmt(c_calendarsvocabularymt, c_basekb) & genlmt(c_calendarsmt, c_calendarsvocabularymt) & transitivebinarypredicate(c_genlmt) & transitivebinarypredicate(c_genlpreds) & ~ tptptypes_5_802(v0, c_tptpcol_16_8886) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v1 | ~ (f_subcollectionofwithrelationfromtypefn(v5, v4, v3) = v2) | ~ (f_subcollectionofwithrelationfromtypefn(v5, v4, v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationfromtypefn(v1, v2, v3) = v4) | natargument(v4, n_3, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationfromtypefn(v1, v2, v3) = v4) | natargument(v4, n_2, v2)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationfromtypefn(v1, v2, v3) = v4) | natargument(v4, n_1, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationfromtypefn(v1, v2, v3) = v4) | natfunction(v4, c_subcollectionofwithrelationfromtypefn)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (f_subcollectionofwithrelationfromtypefn(v1, v2, v3) = v4) | collection(v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v3, v2) | ~ disjointwith(v1, v2) | disjointwith(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v3, v1) | ~ disjointwith(v1, v2) | disjointwith(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v2, v3) | ~ isa(v1, v2) | isa(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlinverse(v2, v3) | ~ genlinverse(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlinverse(v1, v2) | ~ genlpreds(v3, v1) | genlinverse(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlinverse(v1, v2) | ~ genlpreds(v2, v3) | genlinverse(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ disjointwith(v2, v3) | ~ isa(v1, v3) | ~ isa(v1, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v2, v3) | ~ genlpreds(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlmt(v2, v3) | ~ genlmt(v1, v2) | genlmt(v1, v3)) & ! [v1] : ! [v2] : ( ~ orientation(v1, v2) | spatialthing_localized(v1)) & ! [v1] : ! [v2] : ( ~ orientation(v1, v2) | orientationvector(v2)) & ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v2)) & ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | binarypredicate(v1)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | collection(v2)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | collection(v1)) & ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | disjointwith(v2, v1)) & ! [v1] : ! [v2] : ( ~ isa(v1, v2) | thing(v1)) & ! [v1] : ! [v2] : ( ~ isa(v1, v2) | collection(v2)) & ! [v1] : ! [v2] : ( ~ mtvisible(v1) | ~ genlmt(v1, v2) | mtvisible(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_9_824(v1, v2) | firstordercollection(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_9_824(v1, v2) | firstordercollection(v1)) & ! [v1] : ! [v2] : ( ~ tptptypes_9_824(v1, v2) | tptptypes_8_823(v1, v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_8_823(v1, v2) | firstordercollection(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_8_823(v1, v2) | firstordercollection(v1)) & ! [v1] : ! [v2] : ( ~ tptptypes_8_823(v1, v2) | tptptypes_7_819(v1, v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_7_819(v1, v2) | firstordercollection(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_7_819(v1, v2) | firstordercollection(v1)) & ! [v1] : ! [v2] : ( ~ tptptypes_7_819(v1, v2) | tptptypes_6_818(v1, v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_5_802(v1, v2) | firstordercollection(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_5_802(v1, v2) | firstordercollection(v1)) & ! [v1] : ! [v2] : ( ~ tptptypes_6_818(v1, v2) | firstordercollection(v2)) & ! [v1] : ! [v2] : ( ~ tptptypes_6_818(v1, v2) | firstordercollection(v1)) & ! [v1] : ! [v2] : ( ~ tptptypes_6_818(v1, v2) | tptptypes_5_802(v1, v2)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v2)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v1)) & ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | microtheory(v2)) & ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | microtheory(v1)) & ! [v1] : ( ~ predicate(v1) | genlpreds(v1, v1)) & ! [v1] : ( ~ microtheory(v1) | genlmt(v1, v1)) & ! [v1] : ( ~ subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1) | isa(v1, v0)) & ! [v1] : ( ~ orientationvector(v1) | isa(v1, c_orientationvector)) & ! [v1] : ( ~ partiallytangible(v1) | isa(v1, c_partiallytangible)) & ! [v1] : ( ~ tptpcol_16_8886(v1) | isa(v1, c_tptpcol_16_8886)) & ! [v1] : ( ~ isa(v1, v0) | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v1)) & ! [v1] : ( ~ isa(v1, c_transitivebinarypredicate) | transitivebinarypredicate(v1)) & ! [v1] : ( ~ isa(v1, c_tptpcol_16_8886) | tptpcol_16_8886(v1)) & ! [v1] : ( ~ isa(v1, c_partiallytangible) | partiallytangible(v1)) & ! [v1] : ( ~ isa(v1, c_orientationvector) | orientationvector(v1)) & ! [v1] : ( ~ transitivebinarypredicate(v1) | isa(v1, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_member2668_mt) | tptptypes_9_824(v0, c_tptpcol_16_8886))) % 4.83/1.85 | Instantiating (0) with all_0_0_0 yields: % 4.83/1.85 | (1) f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible) = all_0_0_0 & mtvisible(c_tptp_spindlecollectormt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & genlpreds(c_tptptypes_9_824, c_tptptypes_8_823) & genlpreds(c_tptptypes_8_823, c_tptptypes_7_819) & genlpreds(c_tptptypes_7_819, c_tptptypes_6_818) & genlpreds(c_tptptypes_6_818, c_tptptypes_5_802) & genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) & genlmt(c_cyclistsmt, c_calendarsmt) & genlmt(c_basekb, c_universalvocabularymt) & genlmt(c_calendarsvocabularymt, c_basekb) & genlmt(c_calendarsmt, c_calendarsvocabularymt) & transitivebinarypredicate(c_genlmt) & transitivebinarypredicate(c_genlpreds) & ~ tptptypes_5_802(all_0_0_0, c_tptpcol_16_8886) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natfunction(v3, c_subcollectionofwithrelationfromtypefn)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | collection(v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v2, v0) | genlinverse(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v1, v2) | genlinverse(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2)) & ! [v0] : ! [v1] : ( ~ orientation(v0, v1) | spatialthing_localized(v0)) & ! [v0] : ! [v1] : ( ~ orientation(v0, v1) | orientationvector(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) & ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0)) & ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | tptptypes_8_823(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | tptptypes_7_819(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | tptptypes_6_818(v0, v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_5_802(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_5_802(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | firstordercollection(v1)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | firstordercollection(v0)) & ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | tptptypes_5_802(v0, v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) & ! [v0] : ( ~ subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0) | isa(v0, all_0_0_0)) & ! [v0] : ( ~ orientationvector(v0) | isa(v0, c_orientationvector)) & ! [v0] : ( ~ partiallytangible(v0) | isa(v0, c_partiallytangible)) & ! [v0] : ( ~ tptpcol_16_8886(v0) | isa(v0, c_tptpcol_16_8886)) & ! [v0] : ( ~ isa(v0, all_0_0_0) | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_tptpcol_16_8886) | tptpcol_16_8886(v0)) & ! [v0] : ( ~ isa(v0, c_partiallytangible) | partiallytangible(v0)) & ! [v0] : ( ~ isa(v0, c_orientationvector) | orientationvector(v0)) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_member2668_mt) | tptptypes_9_824(all_0_0_0, c_tptpcol_16_8886)) % 4.83/1.86 | % 4.83/1.86 | Applying alpha-rule on (1) yields: % 4.83/1.86 | (2) genlmt(c_calendarsmt, c_calendarsvocabularymt) % 4.83/1.86 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_1, v0)) % 4.83/1.86 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) % 4.83/1.86 | (5) ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | tptptypes_6_818(v0, v1)) % 4.83/1.86 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v1, v2) | genlinverse(v0, v2)) % 4.83/1.86 | (7) ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | firstordercollection(v0)) % 4.83/1.86 | (8) genlmt(c_cyclistsmt, c_calendarsmt) % 4.83/1.86 | (9) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) % 4.83/1.86 | (10) ~ tptptypes_5_802(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.87 | (11) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) % 4.83/1.87 | (12) ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | tptptypes_8_823(v0, v1)) % 4.83/1.87 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v1) | ~ (f_subcollectionofwithrelationfromtypefn(v4, v3, v2) = v0)) % 4.83/1.87 | (14) ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | firstordercollection(v1)) % 4.83/1.87 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2)) % 4.83/1.87 | (16) transitivebinarypredicate(c_genlmt) % 4.83/1.87 | (17) ! [v0] : ( ~ isa(v0, c_partiallytangible) | partiallytangible(v0)) % 4.83/1.87 | (18) ! [v0] : ( ~ partiallytangible(v0) | isa(v0, c_partiallytangible)) % 4.83/1.87 | (19) genlpreds(c_tptptypes_7_819, c_tptptypes_6_818) % 4.83/1.87 | (20) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) % 4.83/1.87 | (21) genlpreds(c_tptptypes_9_824, c_tptptypes_8_823) % 4.83/1.87 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1)) % 4.83/1.87 | (23) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) % 4.83/1.87 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_2, v1)) % 4.83/1.87 | (25) ! [v0] : ! [v1] : ( ~ tptptypes_5_802(v0, v1) | firstordercollection(v1)) % 4.83/1.87 | (26) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1)) % 4.83/1.87 | (27) genlpreds(c_tptptypes_8_823, c_tptptypes_7_819) % 4.83/1.87 | (28) ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | firstordercollection(v1)) % 4.83/1.87 | (29) ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | tptptypes_7_819(v0, v1)) % 4.83/1.87 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2)) % 4.83/1.87 | (31) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0)) % 4.83/1.87 | (32) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) % 4.83/1.87 | (33) ~ mtvisible(c_tptp_member2668_mt) | tptptypes_9_824(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.87 | (34) transitivebinarypredicate(c_genlpreds) % 4.83/1.87 | (35) ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | firstordercollection(v1)) % 4.83/1.87 | (36) mtvisible(c_tptp_spindlecollectormt) % 4.83/1.87 | (37) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) % 4.83/1.87 | (38) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) % 4.83/1.87 | (39) ! [v0] : ( ~ isa(v0, c_orientationvector) | orientationvector(v0)) % 4.83/1.87 | (40) ! [v0] : ( ~ orientationvector(v0) | isa(v0, c_orientationvector)) % 4.83/1.87 | (41) ! [v0] : ! [v1] : ( ~ tptptypes_8_823(v0, v1) | firstordercollection(v0)) % 4.83/1.87 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natfunction(v3, c_subcollectionofwithrelationfromtypefn)) % 4.83/1.87 | (43) genlpreds(c_tptptypes_6_818, c_tptptypes_5_802) % 4.83/1.87 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | natargument(v3, n_3, v2)) % 4.83/1.87 | (45) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) % 4.83/1.87 | (46) genlmt(c_basekb, c_universalvocabularymt) % 4.83/1.87 | (47) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1)) % 4.83/1.87 | (48) ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | firstordercollection(v0)) % 4.83/1.87 | (49) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) % 4.83/1.87 | (50) ! [v0] : ! [v1] : ( ~ orientation(v0, v1) | orientationvector(v1)) % 4.83/1.87 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (f_subcollectionofwithrelationfromtypefn(v0, v1, v2) = v3) | collection(v3)) % 4.83/1.87 | (52) ! [v0] : ( ~ isa(v0, c_tptpcol_16_8886) | tptpcol_16_8886(v0)) % 4.83/1.87 | (53) ! [v0] : ( ~ tptpcol_16_8886(v0) | isa(v0, c_tptpcol_16_8886)) % 4.83/1.87 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v0, v1) | ~ genlpreds(v2, v0) | genlinverse(v2, v1)) % 4.83/1.87 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2)) % 4.83/1.87 | (56) genlmt(c_tptp_spindleheadmt, c_cyclistsmt) % 4.83/1.87 | (57) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) % 4.83/1.87 | (58) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) % 4.83/1.88 | (59) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) % 4.83/1.88 | (60) ! [v0] : ! [v1] : ( ~ orientation(v0, v1) | spatialthing_localized(v0)) % 4.83/1.88 | (61) ! [v0] : ! [v1] : ( ~ tptptypes_6_818(v0, v1) | tptptypes_5_802(v0, v1)) % 4.83/1.88 | (62) ! [v0] : ! [v1] : ( ~ tptptypes_7_819(v0, v1) | firstordercollection(v0)) % 4.83/1.88 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) % 4.83/1.88 | (64) ! [v0] : ! [v1] : ( ~ tptptypes_9_824(v0, v1) | firstordercollection(v1)) % 4.83/1.88 | (65) ! [v0] : ( ~ isa(v0, all_0_0_0) | subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0)) % 4.83/1.88 | (66) ! [v0] : ( ~ subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible(v0) | isa(v0, all_0_0_0)) % 4.83/1.88 | (67) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0)) % 4.83/1.88 | (68) genlmt(c_calendarsvocabularymt, c_basekb) % 4.83/1.88 | (69) mtvisible(c_universalvocabularymt) % 4.83/1.88 | (70) f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible) = all_0_0_0 % 4.83/1.88 | (71) ! [v0] : ! [v1] : ( ~ tptptypes_5_802(v0, v1) | firstordercollection(v0)) % 4.83/1.88 | (72) mtvisible(c_basekb) % 4.83/1.88 | (73) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) % 4.83/1.88 | (74) genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) % 4.83/1.88 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) % 4.83/1.88 | (76) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) % 4.83/1.88 | % 4.83/1.88 | Instantiating formula (26) with c_tptp_member2668_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt), yields: % 4.83/1.88 | (77) mtvisible(c_tptp_member2668_mt) % 4.83/1.88 | % 4.83/1.88 +-Applying beta-rule and splitting (33), into two cases. % 4.83/1.88 |-Branch one: % 4.83/1.88 | (78) tptptypes_9_824(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.88 | % 4.83/1.88 | Instantiating formula (12) with c_tptpcol_16_8886, all_0_0_0 and discharging atoms tptptypes_9_824(all_0_0_0, c_tptpcol_16_8886), yields: % 4.83/1.88 | (79) tptptypes_8_823(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.88 | % 4.83/1.88 | Instantiating formula (29) with c_tptpcol_16_8886, all_0_0_0 and discharging atoms tptptypes_8_823(all_0_0_0, c_tptpcol_16_8886), yields: % 4.83/1.88 | (80) tptptypes_7_819(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.88 | % 4.83/1.88 | Instantiating formula (5) with c_tptpcol_16_8886, all_0_0_0 and discharging atoms tptptypes_7_819(all_0_0_0, c_tptpcol_16_8886), yields: % 4.83/1.88 | (81) tptptypes_6_818(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.88 | % 4.83/1.88 | Instantiating formula (61) with c_tptpcol_16_8886, all_0_0_0 and discharging atoms tptptypes_6_818(all_0_0_0, c_tptpcol_16_8886), ~ tptptypes_5_802(all_0_0_0, c_tptpcol_16_8886), yields: % 4.83/1.88 | (82) $false % 4.83/1.88 | % 4.83/1.88 |-The branch is then unsatisfiable % 4.83/1.88 |-Branch two: % 4.83/1.88 | (83) ~ tptptypes_9_824(all_0_0_0, c_tptpcol_16_8886) % 4.83/1.88 | (84) ~ mtvisible(c_tptp_member2668_mt) % 4.83/1.88 | % 4.83/1.88 | Using (77) and (84) yields: % 4.83/1.88 | (82) $false % 4.83/1.88 | % 4.83/1.88 |-The branch is then unsatisfiable % 4.83/1.88 % SZS output end Proof for theBenchmark % 4.83/1.88 % 4.83/1.88 1261ms %------------------------------------------------------------------------------