TSTP Solution File: CSR074+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR074+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 02:51:03 EDT 2022
% Result : Theorem 2.46s 1.26s
% Output : Proof 3.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR074+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % 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 23:43:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.58 ____ _
% 0.53/0.58 ___ / __ \_____(_)___ ________ __________
% 0.53/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.58
% 0.53/0.58 A Theorem Prover for First-Order Logic
% 0.53/0.58 (ePrincess v.1.0)
% 0.53/0.58
% 0.53/0.58 (c) Philipp Rümmer, 2009-2015
% 0.60/0.58 (c) Peter Backeman, 2014-2015
% 0.60/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.58 Bug reports to peter@backeman.se
% 0.60/0.58
% 0.60/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.58
% 0.60/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.60/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.66/0.96 Prover 0: Preprocessing ...
% 1.95/1.14 Prover 0: Constructing countermodel ...
% 2.46/1.26 Prover 0: proved (635ms)
% 2.46/1.26
% 2.46/1.26 No countermodel exists, formula is valid
% 2.46/1.26 % SZS status Theorem for theBenchmark
% 2.46/1.26
% 2.46/1.26 Generating proof ... found it (size 13)
% 3.48/1.46
% 3.48/1.46 % SZS output start Proof for theBenchmark
% 3.48/1.46 Assumed formulas after preprocessing and simplification:
% 3.48/1.46 | (0) mtvisible(c_tptpgeo_member7_mt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74) & geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74) & genlinverse(c_geographicalsubregions, c_inregion) & transitivebinarypredicate(c_genlmt) & transitivebinarypredicate(c_inregion) & genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt) & genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) & genlmt(c_worldgeographymt, c_geographymt) & genlmt(c_basekb, c_universalvocabularymt) & genlmt(c_geographymt, c_basekb) & ! [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] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ inregion(v1, v2) | ~ inregion(v0, v1) | inregion(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ geographicalsubregions(v1, v2) | ~ geographicalsubregions(v0, v1) | geographicalsubregions(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2)) & ! [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] : ( ~ 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] : ( ~ inregion(v0, v1) | spatialthing_nonsituational(v1)) & ! [v0] : ! [v1] : ( ~ inregion(v0, v1) | spatialthing_nonsituational(v0)) & ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v1)) & ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v0)) & ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | inregion(v1, v0)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) & ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) & ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) & ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) & ! [v0] : ( ~ spatialthing_nonsituational(v0) | inregion(v0, v0)) & ! [v0] : ( ~ geographicalregion(v0) | geographicalsubregions(v0, v0)) & ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) & ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) & ! [v0] : ( ~ isa(v0, c_geolevel_3) | geolevel_3(v0)) & ! [v0] : ( ~ geolevel_3(v0) | isa(v0, c_geolevel_3)) & ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ geolevel_3(c_georegion_l3_x17_y24) | ~ inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24)) & ( ~ mtvisible(c_worldgeographymt) | geolevel_3(c_georegion_l3_x17_y24))
% 3.48/1.48 | Applying alpha-rule on (0) yields:
% 3.48/1.48 | (1) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v2, v0) | ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.48/1.48 | (2) ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | inregion(v1, v0))
% 3.48/1.48 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.48/1.48 | (4) ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v1))
% 3.48/1.48 | (5) ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.48/1.48 | (6) ~ geolevel_3(c_georegion_l3_x17_y24) | ~ inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24)
% 3.48/1.48 | (7) genlmt(c_worldgeographymt, c_geographymt)
% 3.48/1.48 | (8) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 3.48/1.48 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v1) | ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 3.48/1.48 | (10) inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74)
% 3.48/1.48 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 3.48/1.48 | (12) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 3.48/1.48 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ inregion(v1, v2) | ~ inregion(v0, v1) | inregion(v0, v2))
% 3.48/1.48 | (14) genlmt(c_geographymt, c_basekb)
% 3.48/1.48 | (15) ! [v0] : ( ~ geolevel_3(v0) | isa(v0, c_geolevel_3))
% 3.48/1.48 | (16) ! [v0] : ( ~ isa(v0, c_geolevel_3) | geolevel_3(v0))
% 3.48/1.48 | (17) ~ mtvisible(c_worldgeographymt) | geolevel_3(c_georegion_l3_x17_y24)
% 3.48/1.48 | (18) genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt)
% 3.48/1.48 | (19) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.48/1.48 | (20) ! [v0] : ( ~ spatialthing_nonsituational(v0) | inregion(v0, v0))
% 3.48/1.48 | (21) mtvisible(c_universalvocabularymt)
% 3.48/1.49 | (22) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.48/1.49 | (23) ! [v0] : ! [v1] : ( ~ inregion(v0, v1) | spatialthing_nonsituational(v0))
% 3.48/1.49 | (24) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.48/1.49 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ genlpreds(v1, v2) | ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.48/1.49 | (26) geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74)
% 3.48/1.49 | (27) mtvisible(c_basekb)
% 3.48/1.49 | (28) genlinverse(c_geographicalsubregions, c_inregion)
% 3.48/1.49 | (29) ! [v0] : ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.48/1.49 | (30) ! [v0] : ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 3.48/1.49 | (31) ! [v0] : ( ~ geographicalregion(v0) | geographicalsubregions(v0, v0))
% 3.48/1.49 | (32) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.48/1.49 | (33) ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 3.48/1.49 | (34) ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 3.48/1.49 | (35) ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 3.48/1.49 | (36) ! [v0] : ! [v1] : ( ~ inregion(v0, v1) | spatialthing_nonsituational(v1))
% 3.48/1.49 | (37) transitivebinarypredicate(c_genlmt)
% 3.48/1.49 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v1, v2) | ~ isa(v0, v1) | isa(v0, v2))
% 3.48/1.49 | (39) mtvisible(c_tptpgeo_member7_mt)
% 3.48/1.49 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ genls(v2, v0) | ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 3.48/1.49 | (41) transitivebinarypredicate(c_inregion)
% 3.48/1.49 | (42) ! [v0] : ! [v1] : ( ~ mtvisible(v0) | ~ genlmt(v0, v1) | mtvisible(v1))
% 3.48/1.49 | (43) ! [v0] : ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.48/1.49 | (44) ! [v0] : ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.48/1.49 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ disjointwith(v1, v2) | ~ isa(v0, v2) | ~ isa(v0, v1))
% 3.48/1.49 | (46) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.48/1.49 | (47) ! [v0] : ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v0))
% 3.48/1.49 | (48) ! [v0] : ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.48/1.49 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ geographicalsubregions(v1, v2) | ~ geographicalsubregions(v0, v1) | geographicalsubregions(v0, v2))
% 3.48/1.49 | (50) genlmt(c_basekb, c_universalvocabularymt)
% 3.48/1.49 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ genlinverse(v1, v2) | ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.48/1.49 |
% 3.48/1.49 | Instantiating formula (2) with c_georegion_l4_x53_y74, c_georegion_l3_x17_y24 and discharging atoms geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74), yields:
% 3.48/1.49 | (52) inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24)
% 3.48/1.49 |
% 3.48/1.49 | Instantiating formula (11) with c_worldgeographymt, c_tptpgeo_spindleheadmt, c_tptpgeo_member7_mt and discharging atoms genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt), genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), yields:
% 3.48/1.49 | (53) genlmt(c_tptpgeo_member7_mt, c_worldgeographymt)
% 3.48/1.49 |
% 3.48/1.49 | Instantiating formula (13) with c_georegion_l3_x17_y24, c_georegion_l4_x53_y74, c_geolocation_x53_y74 and discharging atoms inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74), inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24), yields:
% 3.48/1.49 | (54) inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24)
% 3.48/1.49 |
% 3.48/1.49 | Instantiating formula (42) with c_worldgeographymt, c_tptpgeo_member7_mt and discharging atoms mtvisible(c_tptpgeo_member7_mt), genlmt(c_tptpgeo_member7_mt, c_worldgeographymt), yields:
% 3.48/1.49 | (55) mtvisible(c_worldgeographymt)
% 3.48/1.50 |
% 3.48/1.50 +-Applying beta-rule and splitting (17), into two cases.
% 3.48/1.50 |-Branch one:
% 3.48/1.50 | (56) geolevel_3(c_georegion_l3_x17_y24)
% 3.48/1.50 |
% 3.48/1.50 +-Applying beta-rule and splitting (6), into two cases.
% 3.48/1.50 |-Branch one:
% 3.48/1.50 | (57) ~ geolevel_3(c_georegion_l3_x17_y24)
% 3.48/1.50 |
% 3.48/1.50 | Using (56) and (57) yields:
% 3.48/1.50 | (58) $false
% 3.48/1.50 |
% 3.48/1.50 |-The branch is then unsatisfiable
% 3.48/1.50 |-Branch two:
% 3.48/1.50 | (56) geolevel_3(c_georegion_l3_x17_y24)
% 3.48/1.50 | (60) ~ inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24)
% 3.48/1.50 |
% 3.48/1.50 | Using (54) and (60) yields:
% 3.48/1.50 | (58) $false
% 3.48/1.50 |
% 3.48/1.50 |-The branch is then unsatisfiable
% 3.48/1.50 |-Branch two:
% 3.48/1.50 | (57) ~ geolevel_3(c_georegion_l3_x17_y24)
% 3.48/1.50 | (63) ~ mtvisible(c_worldgeographymt)
% 3.48/1.50 |
% 3.48/1.50 | Using (55) and (63) yields:
% 3.48/1.50 | (58) $false
% 3.48/1.50 |
% 3.48/1.50 |-The branch is then unsatisfiable
% 3.48/1.50 % SZS output end Proof for theBenchmark
% 3.48/1.50
% 3.48/1.50 909ms
%------------------------------------------------------------------------------