TSTP Solution File: CSR071+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR071+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 02:51:01 EDT 2022
% Result : Theorem 3.13s 1.40s
% Output : Proof 4.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR071+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 10 20:07:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.52/0.57 ____ _
% 0.52/0.57 ___ / __ \_____(_)___ ________ __________
% 0.52/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.57
% 0.52/0.57 A Theorem Prover for First-Order Logic
% 0.52/0.57 (ePrincess v.1.0)
% 0.52/0.57
% 0.52/0.57 (c) Philipp Rümmer, 2009-2015
% 0.52/0.57 (c) Peter Backeman, 2014-2015
% 0.52/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.57 Bug reports to peter@backeman.se
% 0.52/0.57
% 0.52/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.57
% 0.52/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.52/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.72/0.94 Prover 0: Preprocessing ...
% 2.40/1.18 Prover 0: Constructing countermodel ...
% 3.13/1.40 Prover 0: proved (776ms)
% 3.13/1.40
% 3.13/1.40 No countermodel exists, formula is valid
% 3.13/1.40 % SZS status Theorem for theBenchmark
% 3.13/1.40
% 3.13/1.40 Generating proof ... found it (size 10)
% 4.58/1.72
% 4.58/1.72 % SZS output start Proof for theBenchmark
% 4.58/1.72 Assumed formulas after preprocessing and simplification:
% 4.58/1.72 | (0) ? [v0] : (f_tptpquantityfn_6(n_414) = v0 & mtvisible(c_tptp_spindlecollectormt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & transitivebinarypredicate(c_genlmt) & genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member698_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) & genls(c_navypersonnel, c_militaryperson) & ~ tptpofobject(c_tptpnavypersonnel_3, v0) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (f_tptpquantityfn_6(v3) = v2) | ~ (f_tptpquantityfn_6(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v3, v1) | ~ genlinverse(v1, v2) | genlinverse(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v2, v3) | ~ genlpreds(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlpreds(v2, v3) | ~ genlinverse(v1, v2) | genlinverse(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlinverse(v2, v3) | ~ genlinverse(v1, v2) | genlpreds(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ disjointwith(v2, v3) | ~ isa(v1, v3) | ~ isa(v1, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ disjointwith(v1, v2) | ~ genls(v3, v2) | disjointwith(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ disjointwith(v1, v2) | ~ genls(v3, v1) | disjointwith(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ isa(v1, v2) | ~ genls(v2, v3) | isa(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ relationallinstance(v1, v2, v3) | thing(v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ relationallinstance(v1, v2, v3) | collection(v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ relationallinstance(v1, v2, v3) | binarypredicate(v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genlmt(v2, v3) | ~ genlmt(v1, v2) | genlmt(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v3, v1) | ~ genls(v1, v2) | genls(v3, v2)) & ! [v1] : ! [v2] : ! [v3] : ( ~ genls(v2, v3) | ~ genls(v1, v2) | genls(v1, v3)) & ! [v1] : ! [v2] : ( ~ (f_tptpquantityfn_6(v1) = v2) | tptpquantity(v2)) & ! [v1] : ! [v2] : ( ~ (f_tptpquantityfn_6(v1) = v2) | natargument(v2, n_1, v1)) & ! [v1] : ! [v2] : ( ~ (f_tptpquantityfn_6(v1) = v2) | natfunction(v2, c_tptpquantityfn_6)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v2)) & ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | predicate(v1)) & ! [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] : ( ~ tptpofobject(v1, v2) | partiallytangible(v1)) & ! [v1] : ! [v2] : ( ~ tptpofobject(v1, v2) | tptpquantity(v2)) & ! [v1] : ! [v2] : ( ~ mtvisible(v1) | ~ genlmt(v1, v2) | mtvisible(v2)) & ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | microtheory(v2)) & ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | microtheory(v1)) & ! [v1] : ! [v2] : ( ~ genls(v1, v2) | collection(v2)) & ! [v1] : ! [v2] : ( ~ genls(v1, v2) | collection(v1)) & ! [v1] : ( ~ microtheory(v1) | genlmt(v1, v1)) & ! [v1] : ( ~ collection(v1) | genls(v1, v1)) & ! [v1] : ( ~ predicate(v1) | genlpreds(v1, v1)) & ! [v1] : ( ~ isa(v1, c_transitivebinarypredicate) | transitivebinarypredicate(v1)) & ! [v1] : ( ~ isa(v1, c_militaryperson) | militaryperson(v1)) & ! [v1] : ( ~ isa(v1, c_navypersonnel) | navypersonnel(v1)) & ! [v1] : ( ~ mtvisible(c_tptp_member698_mt) | ~ militaryperson(v1) | tptpofobject(v1, v0)) & ! [v1] : ( ~ transitivebinarypredicate(v1) | isa(v1, c_transitivebinarypredicate)) & ! [v1] : ( ~ militaryperson(v1) | isa(v1, c_militaryperson)) & ! [v1] : ( ~ navypersonnel(v1) | isa(v1, c_navypersonnel)) & ! [v1] : ( ~ navypersonnel(v1) | militaryperson(v1)) & ( ~ mtvisible(c_tptp_member1672_mt) | navypersonnel(c_tptpnavypersonnel_3)) & ( ~ mtvisible(c_tptp_member698_mt) | relationallinstance(c_tptpofobject, c_militaryperson, v0)))
% 4.94/1.77 | Instantiating (0) with all_0_0_0 yields:
% 4.94/1.77 | (1) f_tptpquantityfn_6(n_414) = all_0_0_0 & mtvisible(c_tptp_spindlecollectormt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & transitivebinarypredicate(c_genlmt) & genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) & genlmt(c_tptp_spindlecollectormt, c_tptp_member698_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) & genls(c_navypersonnel, c_militaryperson) & ~ tptpofobject(c_tptpnavypersonnel_3, all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f_tptpquantityfn_6(v2) = v1) | ~ (f_tptpquantityfn_6(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v0, v1) | ~ genls(v2, v1) | disjointwith(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v0, v1) | ~ genls(v2, v0) | disjointwith(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ isa(v0, v1) | ~ genls(v1, v2) | isa(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | thing(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | collection(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | binarypredicate(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ genls(v0, v1) | genls(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ genls(v0, v1) | genls(v0, v2)) & ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | tptpquantity(v1)) & ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | natargument(v1, n_1, v0)) & ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | natfunction(v1, c_tptpquantityfn_6)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) & ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) & ! [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] : ( ~ tptpofobject(v0, v1) | partiallytangible(v0)) & ! [v0] : ! [v1] : ( ~ tptpofobject(v0, v1) | tptpquantity(v1)) & ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) & ! [v0] : ! [v1] : ( ~ genls(v0, v1) | collection(v1)) & ! [v0] : ! [v1] : ( ~ genls(v0, v1) | collection(v0)) & ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) & ! [v0] : ( ~ collection(v0) | genls(v0, v0)) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_militaryperson) | militaryperson(v0)) & ! [v0] : ( ~ isa(v0, c_navypersonnel) | navypersonnel(v0)) & ! [v0] : ( ~ mtvisible(c_tptp_member698_mt) | ~ militaryperson(v0) | tptpofobject(v0, all_0_0_0)) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ! [v0] : ( ~ militaryperson(v0) | isa(v0, c_militaryperson)) & ! [v0] : ( ~ navypersonnel(v0) | isa(v0, c_navypersonnel)) & ! [v0] : ( ~ navypersonnel(v0) | militaryperson(v0)) & ( ~ mtvisible(c_tptp_member1672_mt) | navypersonnel(c_tptpnavypersonnel_3)) & ( ~ mtvisible(c_tptp_member698_mt) | relationallinstance(c_tptpofobject, c_militaryperson, all_0_0_0))
% 4.94/1.78 |
% 4.94/1.78 | Applying alpha-rule on (1) yields:
% 4.94/1.78 | (2) genlmt(c_calendarsvocabularymt, c_basekb)
% 4.94/1.78 | (3) ~ tptpofobject(c_tptpnavypersonnel_3, all_0_0_0)
% 4.94/1.78 | (4) ~ mtvisible(c_tptp_member698_mt) | relationallinstance(c_tptpofobject, c_militaryperson, all_0_0_0)
% 4.94/1.78 | (5) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 4.94/1.78 | (6) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 4.94/1.78 | (7) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 4.94/1.78 | (8) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 4.94/1.78 | (9) ~ mtvisible(c_tptp_member1672_mt) | navypersonnel(c_tptpnavypersonnel_3)
% 4.94/1.78 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 4.94/1.78 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ genls(v0, v1) | genls(v2, v1))
% 4.94/1.78 | (12) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 4.94/1.78 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | collection(v1))
% 4.94/1.78 | (14) genlmt(c_cyclistsmt, c_calendarsmt)
% 4.94/1.78 | (15) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 4.94/1.78 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 4.94/1.78 | (17) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 4.94/1.78 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v0, v1) | ~ genls(v2, v0) | disjointwith(v2, v1))
% 4.94/1.78 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 4.94/1.78 | (20) ! [v0] : ( ~ mtvisible(c_tptp_member698_mt) | ~ militaryperson(v0) | tptpofobject(v0, all_0_0_0))
% 4.94/1.78 | (21) ! [v0] : ! [v1] : ( ~ tptpofobject(v0, v1) | partiallytangible(v0))
% 4.94/1.78 | (22) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 4.94/1.78 | (23) mtvisible(c_basekb)
% 4.94/1.78 | (24) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 4.94/1.78 | (25) ! [v0] : ! [v1] : ( ~ tptpofobject(v0, v1) | tptpquantity(v1))
% 4.94/1.78 | (26) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)
% 4.94/1.78 | (27) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 4.94/1.78 | (28) f_tptpquantityfn_6(n_414) = all_0_0_0
% 4.94/1.78 | (29) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | tptpquantity(v1))
% 4.94/1.78 | (30) genlmt(c_calendarsmt, c_calendarsvocabularymt)
% 4.94/1.78 | (31) transitivebinarypredicate(c_genlmt)
% 4.94/1.78 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ genls(v0, v1) | genls(v0, v2))
% 4.94/1.78 | (33) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 4.94/1.78 | (34) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)
% 4.94/1.78 | (35) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 4.94/1.78 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 4.94/1.78 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ isa(v0, v1) | ~ genls(v1, v2) | isa(v0, v2))
% 4.94/1.78 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 4.94/1.78 | (39) mtvisible(c_tptp_spindlecollectormt)
% 4.94/1.78 | (40) ! [v0] : ( ~ militaryperson(v0) | isa(v0, c_militaryperson))
% 4.94/1.78 | (41) ! [v0] : ( ~ isa(v0, c_militaryperson) | militaryperson(v0))
% 4.94/1.79 | (42) ! [v0] : ( ~ collection(v0) | genls(v0, v0))
% 4.94/1.79 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | thing(v2))
% 4.94/1.79 | (44) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 4.94/1.79 | (45) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 4.94/1.79 | (46) ! [v0] : ( ~ navypersonnel(v0) | isa(v0, c_navypersonnel))
% 4.94/1.79 | (47) ! [v0] : ( ~ isa(v0, c_navypersonnel) | navypersonnel(v0))
% 4.94/1.79 | (48) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | natargument(v1, n_1, v0))
% 4.94/1.79 | (49) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 4.94/1.79 | (50) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 4.94/1.79 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 4.94/1.79 | (52) ! [v0] : ! [v1] : ( ~ genls(v0, v1) | collection(v1))
% 4.94/1.79 | (53) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 4.94/1.79 | (54) genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt)
% 4.94/1.79 | (55) ! [v0] : ( ~ navypersonnel(v0) | militaryperson(v0))
% 4.94/1.79 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | binarypredicate(v0))
% 4.94/1.79 | (57) genls(c_navypersonnel, c_militaryperson)
% 4.94/1.79 | (58) genlmt(c_basekb, c_universalvocabularymt)
% 4.94/1.79 | (59) ! [v0] : ! [v1] : ( ~ genls(v0, v1) | collection(v0))
% 4.94/1.79 | (60) mtvisible(c_universalvocabularymt)
% 4.94/1.79 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f_tptpquantityfn_6(v2) = v1) | ~ (f_tptpquantityfn_6(v2) = v0))
% 4.94/1.79 | (62) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_6(v0) = v1) | natfunction(v1, c_tptpquantityfn_6))
% 4.94/1.79 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v0, v1) | ~ genls(v2, v1) | disjointwith(v0, v2))
% 4.94/1.79 | (64) genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt)
% 4.94/1.79 |
% 4.94/1.79 | Instantiating formula (45) with c_tptp_member1672_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt), yields:
% 4.94/1.79 | (65) mtvisible(c_tptp_member1672_mt)
% 4.94/1.79 |
% 4.94/1.79 | Instantiating formula (45) with c_tptp_member698_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt), yields:
% 4.94/1.79 | (66) mtvisible(c_tptp_member698_mt)
% 4.94/1.79 |
% 4.94/1.79 +-Applying beta-rule and splitting (9), into two cases.
% 4.94/1.79 |-Branch one:
% 4.94/1.79 | (67) ~ mtvisible(c_tptp_member1672_mt)
% 4.94/1.79 |
% 4.94/1.79 | Using (65) and (67) yields:
% 4.94/1.79 | (68) $false
% 4.94/1.79 |
% 4.94/1.79 |-The branch is then unsatisfiable
% 4.94/1.79 |-Branch two:
% 4.94/1.79 | (65) mtvisible(c_tptp_member1672_mt)
% 4.94/1.79 | (70) navypersonnel(c_tptpnavypersonnel_3)
% 4.94/1.79 |
% 4.94/1.79 | Instantiating formula (55) with c_tptpnavypersonnel_3 and discharging atoms navypersonnel(c_tptpnavypersonnel_3), yields:
% 4.94/1.79 | (71) militaryperson(c_tptpnavypersonnel_3)
% 4.94/1.79 |
% 4.94/1.79 | Instantiating formula (20) with c_tptpnavypersonnel_3 and discharging atoms mtvisible(c_tptp_member698_mt), militaryperson(c_tptpnavypersonnel_3), ~ tptpofobject(c_tptpnavypersonnel_3, all_0_0_0), yields:
% 4.94/1.80 | (68) $false
% 4.94/1.80 |
% 4.94/1.80 |-The branch is then unsatisfiable
% 4.94/1.80 % SZS output end Proof for theBenchmark
% 4.94/1.80
% 4.94/1.80 1210ms
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