TSTP Solution File: CSR070+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------