TSTP Solution File: CSR065+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR065+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 02:50:55 EDT 2022
% Result : Theorem 2.74s 1.36s
% Output : Proof 4.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR065+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 20:05:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.61/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.62/0.98 Prover 0: Preprocessing ...
% 2.05/1.18 Prover 0: Constructing countermodel ...
% 2.74/1.36 Prover 0: proved (722ms)
% 2.74/1.36
% 2.74/1.36 No countermodel exists, formula is valid
% 2.74/1.36 % SZS status Theorem for theBenchmark
% 2.74/1.36
% 2.74/1.36 Generating proof ... found it (size 14)
% 4.05/1.63
% 4.05/1.63 % SZS output start Proof for theBenchmark
% 4.05/1.63 Assumed formulas after preprocessing and simplification:
% 4.05/1.63 | (0) ? [v0] : (f_tptpquantityfn_13(n_468) = v0 & mtvisible(c_universalvocabularymt) & mtvisible(c_tptp_spindlecollectormt) & 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_member235_mt) & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) & genlmt(c_cyclistsmt, c_calendarsmt) & genlmt(c_calendarsvocabularymt, c_basekb) & genlmt(c_calendarsmt, c_calendarsvocabularymt) & ~ tptpofobject(c_tptpridgeline_topographical, v0) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (f_tptpquantityfn_13(v3) = v2) | ~ (f_tptpquantityfn_13(v3) = v1)) & ! [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] : ( ~ 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] : ( ~ 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] : ( ~ (f_tptpquantityfn_13(v1) = v2) | tptpquantity(v2)) & ! [v1] : ! [v2] : ( ~ (f_tptpquantityfn_13(v1) = v2) | natargument(v2, n_1, v1)) & ! [v1] : ! [v2] : ( ~ (f_tptpquantityfn_13(v1) = v2) | natfunction(v2, c_tptpquantityfn_13)) & ! [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] : ( ~ microtheory(v1) | genlmt(v1, v1)) & ! [v1] : ( ~ predicate(v1) | genlpreds(v1, v1)) & ! [v1] : ( ~ isa(v1, c_transitivebinarypredicate) | transitivebinarypredicate(v1)) & ! [v1] : ( ~ isa(v1, c_ridgeline_topographical) | ridgeline_topographical(v1)) & ! [v1] : ( ~ ridgeline_topographical(v1) | ~ mtvisible(c_tptp_member235_mt) | tptpofobject(v1, v0)) & ! [v1] : ( ~ ridgeline_topographical(v1) | isa(v1, c_ridgeline_topographical)) & ! [v1] : ( ~ transitivebinarypredicate(v1) | isa(v1, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_member235_mt) | relationallinstance(c_tptpofobject, c_ridgeline_topographical, v0)) & ( ~ mtvisible(c_cyclistsmt) | ridgeline_topographical(c_tptpridgeline_topographical)))
% 4.05/1.68 | Instantiating (0) with all_0_0_0 yields:
% 4.05/1.68 | (1) f_tptpquantityfn_13(n_468) = all_0_0_0 & mtvisible(c_universalvocabularymt) & mtvisible(c_tptp_spindlecollectormt) & 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_member235_mt) & genlmt(c_tptp_spindleheadmt, c_cyclistsmt) & genlmt(c_cyclistsmt, c_calendarsmt) & genlmt(c_calendarsvocabularymt, c_basekb) & genlmt(c_calendarsmt, c_calendarsvocabularymt) & ~ tptpofobject(c_tptpridgeline_topographical, all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f_tptpquantityfn_13(v2) = v1) | ~ (f_tptpquantityfn_13(v2) = v0)) & ! [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] : ( ~ 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] : ( ~ 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] : ( ~ (f_tptpquantityfn_13(v0) = v1) | tptpquantity(v1)) & ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_13(v0) = v1) | natargument(v1, n_1, v0)) & ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_13(v0) = v1) | natfunction(v1, c_tptpquantityfn_13)) & ! [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] : ( ~ microtheory(v0) | genlmt(v0, v0)) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_ridgeline_topographical) | ridgeline_topographical(v0)) & ! [v0] : ( ~ ridgeline_topographical(v0) | ~ mtvisible(c_tptp_member235_mt) | tptpofobject(v0, all_0_0_0)) & ! [v0] : ( ~ ridgeline_topographical(v0) | isa(v0, c_ridgeline_topographical)) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_member235_mt) | relationallinstance(c_tptpofobject, c_ridgeline_topographical, all_0_0_0)) & ( ~ mtvisible(c_cyclistsmt) | ridgeline_topographical(c_tptpridgeline_topographical))
% 4.05/1.69 |
% 4.05/1.69 | Applying alpha-rule on (1) yields:
% 4.05/1.69 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 4.05/1.69 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 4.05/1.69 | (4) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 4.05/1.69 | (5) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 4.05/1.69 | (6) mtvisible(c_tptp_spindlecollectormt)
% 4.05/1.69 | (7) genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)
% 4.05/1.69 | (8) ! [v0] : ! [v1] : ( ~ tptpofobject(v0, v1) | partiallytangible(v0))
% 4.05/1.69 | (9) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_13(v0) = v1) | natargument(v1, n_1, v0))
% 4.05/1.69 | (10) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_13(v0) = v1) | tptpquantity(v1))
% 4.05/1.69 | (11) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 4.05/1.69 | (12) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 4.05/1.69 | (13) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 4.05/1.69 | (14) genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)
% 4.05/1.69 | (15) ~ mtvisible(c_tptp_member235_mt) | relationallinstance(c_tptpofobject, c_ridgeline_topographical, all_0_0_0)
% 4.05/1.69 | (16) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 4.05/1.69 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | binarypredicate(v0))
% 4.05/1.69 | (18) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 4.05/1.69 | (19) genlmt(c_calendarsvocabularymt, c_basekb)
% 4.05/1.69 | (20) transitivebinarypredicate(c_genlmt)
% 4.05/1.69 | (21) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 4.05/1.69 | (22) mtvisible(c_universalvocabularymt)
% 4.05/1.69 | (23) ! [v0] : ! [v1] : ( ~ (f_tptpquantityfn_13(v0) = v1) | natfunction(v1, c_tptpquantityfn_13))
% 4.05/1.69 | (24) genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt)
% 4.05/1.69 | (25) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 4.40/1.69 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 4.40/1.69 | (27) ~ mtvisible(c_cyclistsmt) | ridgeline_topographical(c_tptpridgeline_topographical)
% 4.40/1.69 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | thing(v2))
% 4.40/1.69 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 4.40/1.70 | (30) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 4.40/1.70 | (31) ! [v0] : ( ~ ridgeline_topographical(v0) | ~ mtvisible(c_tptp_member235_mt) | tptpofobject(v0, all_0_0_0))
% 4.40/1.70 | (32) genlmt(c_cyclistsmt, c_calendarsmt)
% 4.40/1.70 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2))
% 4.40/1.70 | (34) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 4.40/1.70 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ relationallinstance(v0, v1, v2) | collection(v1))
% 4.40/1.70 | (36) genlmt(c_calendarsmt, c_calendarsvocabularymt)
% 4.40/1.70 | (37) mtvisible(c_basekb)
% 4.40/1.70 | (38) ! [v0] : ( ~ ridgeline_topographical(v0) | isa(v0, c_ridgeline_topographical))
% 4.40/1.70 | (39) ! [v0] : ( ~ isa(v0, c_ridgeline_topographical) | ridgeline_topographical(v0))
% 4.40/1.70 | (40) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 4.40/1.70 | (41) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 4.40/1.70 | (42) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 4.40/1.70 | (43) ~ tptpofobject(c_tptpridgeline_topographical, all_0_0_0)
% 4.40/1.70 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f_tptpquantityfn_13(v2) = v1) | ~ (f_tptpquantityfn_13(v2) = v0))
% 4.40/1.70 | (45) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 4.40/1.70 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 4.40/1.70 | (47) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 4.40/1.70 | (48) ! [v0] : ! [v1] : ( ~ tptpofobject(v0, v1) | tptpquantity(v1))
% 4.40/1.70 | (49) f_tptpquantityfn_13(n_468) = all_0_0_0
% 4.40/1.70 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 4.40/1.70 | (51) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 4.40/1.70 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 4.40/1.70 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 4.40/1.70 |
% 4.40/1.70 | Instantiating formula (4) with c_tptp_member3993_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt), yields:
% 4.40/1.70 | (54) mtvisible(c_tptp_member3993_mt)
% 4.40/1.70 |
% 4.40/1.70 | Instantiating formula (4) with c_tptp_member235_mt, c_tptp_spindlecollectormt and discharging atoms mtvisible(c_tptp_spindlecollectormt), genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt), yields:
% 4.40/1.70 | (55) mtvisible(c_tptp_member235_mt)
% 4.40/1.70 |
% 4.40/1.70 | Instantiating formula (50) with c_cyclistsmt, c_tptp_spindleheadmt, c_tptp_member3993_mt and discharging atoms genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt), genlmt(c_tptp_spindleheadmt, c_cyclistsmt), yields:
% 4.40/1.70 | (56) genlmt(c_tptp_member3993_mt, c_cyclistsmt)
% 4.40/1.70 |
% 4.40/1.70 +-Applying beta-rule and splitting (15), into two cases.
% 4.40/1.70 |-Branch one:
% 4.40/1.70 | (57) ~ mtvisible(c_tptp_member235_mt)
% 4.40/1.70 |
% 4.40/1.71 | Using (55) and (57) yields:
% 4.40/1.71 | (58) $false
% 4.40/1.71 |
% 4.40/1.71 |-The branch is then unsatisfiable
% 4.40/1.71 |-Branch two:
% 4.40/1.71 | (55) mtvisible(c_tptp_member235_mt)
% 4.40/1.71 | (60) relationallinstance(c_tptpofobject, c_ridgeline_topographical, all_0_0_0)
% 4.40/1.71 |
% 4.40/1.71 | Instantiating formula (4) with c_cyclistsmt, c_tptp_member3993_mt and discharging atoms mtvisible(c_tptp_member3993_mt), genlmt(c_tptp_member3993_mt, c_cyclistsmt), yields:
% 4.40/1.71 | (61) mtvisible(c_cyclistsmt)
% 4.40/1.71 |
% 4.40/1.71 +-Applying beta-rule and splitting (27), into two cases.
% 4.40/1.71 |-Branch one:
% 4.40/1.71 | (62) ~ mtvisible(c_cyclistsmt)
% 4.40/1.71 |
% 4.40/1.71 | Using (61) and (62) yields:
% 4.40/1.71 | (58) $false
% 4.40/1.71 |
% 4.40/1.71 |-The branch is then unsatisfiable
% 4.40/1.71 |-Branch two:
% 4.40/1.71 | (61) mtvisible(c_cyclistsmt)
% 4.40/1.71 | (65) ridgeline_topographical(c_tptpridgeline_topographical)
% 4.40/1.71 |
% 4.40/1.71 | Instantiating formula (31) with c_tptpridgeline_topographical and discharging atoms ridgeline_topographical(c_tptpridgeline_topographical), mtvisible(c_tptp_member235_mt), ~ tptpofobject(c_tptpridgeline_topographical, all_0_0_0), yields:
% 4.40/1.71 | (58) $false
% 4.40/1.71 |
% 4.40/1.71 |-The branch is then unsatisfiable
% 4.40/1.71 % SZS output end Proof for theBenchmark
% 4.40/1.71
% 4.40/1.71 1111ms
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