TSTP Solution File: CSR059+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR059+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 02:50:51 EDT 2022
% Result : Theorem 2.26s 1.27s
% Output : Proof 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR059+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 10 00:50:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.61/0.62 ____ _
% 0.61/0.62 ___ / __ \_____(_)___ ________ __________
% 0.61/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.62
% 0.61/0.62 A Theorem Prover for First-Order Logic
% 0.61/0.62 (ePrincess v.1.0)
% 0.61/0.62
% 0.61/0.62 (c) Philipp Rümmer, 2009-2015
% 0.61/0.62 (c) Peter Backeman, 2014-2015
% 0.61/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.62 Bug reports to peter@backeman.se
% 0.61/0.62
% 0.61/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.62
% 0.61/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.72/1.03 Prover 0: Preprocessing ...
% 2.17/1.19 Prover 0: Constructing countermodel ...
% 2.26/1.27 Prover 0: proved (572ms)
% 2.26/1.27
% 2.26/1.27 No countermodel exists, formula is valid
% 2.26/1.27 % SZS status Theorem for theBenchmark
% 2.26/1.27
% 2.26/1.27 Generating proof ... found it (size 7)
% 3.19/1.48
% 3.19/1.48 % SZS output start Proof for theBenchmark
% 3.19/1.48 Assumed formulas after preprocessing and simplification:
% 3.19/1.48 | (0) mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & mtvisible(c_tptpgeo_spindlecollectormt) & genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt) & ~ borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47) & ! [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] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2)) & ! [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] : ( ~ borderson(v0, v1) | geographicalregion(v1)) & ! [v0] : ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v0)) & ! [v0] : ! [v1] : ( ~ borderson(v0, v1) | borderson(v1, v0)) & ! [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] : ~ borderson(v0, v0) & ( ~ mtvisible(c_tptpgeo_member5_mt) | borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47))
% 3.28/1.50 | Applying alpha-rule on (0) yields:
% 3.28/1.50 | (1) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 3.28/1.50 | (2) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.28/1.50 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 3.28/1.50 | (4) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.28/1.50 | (5) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.28/1.50 | (6) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 3.28/1.50 | (7) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.28/1.50 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.28/1.50 | (9) mtvisible(c_universalvocabularymt)
% 3.28/1.50 | (10) ~ borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47)
% 3.28/1.50 | (11) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.28/1.50 | (12) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 3.28/1.50 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2))
% 3.28/1.50 | (14) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 3.28/1.50 | (15) ! [v0] : ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v1))
% 3.28/1.50 | (16) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt)
% 3.28/1.50 | (17) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.28/1.50 | (18) ! [v0] : ~ borderson(v0, v0)
% 3.28/1.50 | (19) mtvisible(c_basekb)
% 3.28/1.50 | (20) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.28/1.50 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 3.28/1.50 | (22) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.28/1.50 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.28/1.50 | (24) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.28/1.50 | (25) ~ mtvisible(c_tptpgeo_member5_mt) | borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47)
% 3.28/1.50 | (26) ! [v0] : ! [v1] : ( ~ borderson(v0, v1) | borderson(v1, v0))
% 3.28/1.50 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.28/1.51 | (28) ! [v0] : ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v0))
% 3.28/1.51 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 3.28/1.51 | (30) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.28/1.51 | (31) mtvisible(c_tptpgeo_spindlecollectormt)
% 3.28/1.51 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 3.28/1.51 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.28/1.51 |
% 3.28/1.51 | Instantiating formula (6) with c_tptpgeo_member5_mt, c_tptpgeo_spindlecollectormt and discharging atoms mtvisible(c_tptpgeo_spindlecollectormt), genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt), yields:
% 3.28/1.51 | (34) mtvisible(c_tptpgeo_member5_mt)
% 3.28/1.51 |
% 3.28/1.51 +-Applying beta-rule and splitting (25), into two cases.
% 3.28/1.51 |-Branch one:
% 3.28/1.51 | (35) ~ mtvisible(c_tptpgeo_member5_mt)
% 3.28/1.51 |
% 3.28/1.51 | Using (34) and (35) yields:
% 3.28/1.51 | (36) $false
% 3.28/1.51 |
% 3.28/1.51 |-The branch is then unsatisfiable
% 3.28/1.51 |-Branch two:
% 3.28/1.51 | (34) mtvisible(c_tptpgeo_member5_mt)
% 3.28/1.51 | (38) borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47)
% 3.28/1.51 |
% 3.28/1.51 | Instantiating formula (26) with c_georegion_l4_x57_y47, c_georegion_l4_x56_y47 and discharging atoms borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), ~ borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), yields:
% 3.28/1.51 | (36) $false
% 3.28/1.51 |
% 3.28/1.51 |-The branch is then unsatisfiable
% 3.28/1.51 % SZS output end Proof for theBenchmark
% 3.28/1.51
% 3.28/1.51 876ms
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