TSTP Solution File: CSR037+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n011.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 02:50:27 EDT 2022

% Result   : Theorem 2.47s 1.29s
% Output   : Proof 3.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 05:36:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.57/0.59          ____       _                          
% 0.57/0.59    ___  / __ \_____(_)___  ________  __________
% 0.57/0.59   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.59  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.57/0.59  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.57/0.59  
% 0.57/0.59  A Theorem Prover for First-Order Logic
% 0.57/0.60  (ePrincess v.1.0)
% 0.57/0.60  
% 0.57/0.60  (c) Philipp Rümmer, 2009-2015
% 0.57/0.60  (c) Peter Backeman, 2014-2015
% 0.57/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.60  Bug reports to peter@backeman.se
% 0.57/0.60  
% 0.57/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.60  
% 0.57/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/1.00  Prover 0: Preprocessing ...
% 2.39/1.20  Prover 0: Constructing countermodel ...
% 2.47/1.29  Prover 0: proved (645ms)
% 2.47/1.29  
% 2.47/1.29  No countermodel exists, formula is valid
% 2.47/1.29  % SZS status Theorem for theBenchmark
% 2.47/1.29  
% 2.47/1.29  Generating proof ... found it (size 3)
% 3.40/1.54  
% 3.40/1.54  % SZS output start Proof for theBenchmark
% 3.40/1.54  Assumed formulas after preprocessing and simplification: 
% 3.40/1.54  | (0) geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72) & geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24) & mtvisible(c_tptpgeo_member7_mt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & physicalorderingpredicate(c_geographicalsubregions) & transitivebinarypredicate(c_genlmt) & genls(c_physicalorderingpredicate, c_orderingpredicate) & genls(c_orderingpredicate, c_transitivebinarypredicate) & 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) &  ~ geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72) &  ! [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] : ( ~ geographicalsubregions(v1, v2) |  ~ geographicalsubregions(v0, v1) | geographicalsubregions(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] :  ! [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] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v1)) &  ! [v0] :  ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v0)) &  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1)) &  ! [v0] :  ! [v1] : ( ~ genls(v0, v1) | collection(v1)) &  ! [v0] :  ! [v1] : ( ~ genls(v0, v1) | collection(v0)) &  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1)) &  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0)) &  ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0)) &  ! [v0] : ( ~ geographicalregion(v0) | geographicalsubregions(v0, v0)) &  ! [v0] : ( ~ collection(v0) | genls(v0, v0)) &  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) &  ! [v0] : ( ~ isa(v0, c_physicalorderingpredicate) | physicalorderingpredicate(v0)) &  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) &  ! [v0] : ( ~ isa(v0, c_orderingpredicate) | orderingpredicate(v0)) &  ! [v0] : ( ~ physicalorderingpredicate(v0) | isa(v0, c_physicalorderingpredicate)) &  ! [v0] : ( ~ physicalorderingpredicate(v0) | orderingpredicate(v0)) &  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) &  ! [v0] : ( ~ orderingpredicate(v0) | isa(v0, c_orderingpredicate)) &  ! [v0] : ( ~ orderingpredicate(v0) | transitivebinarypredicate(v0))
% 3.40/1.56  | Applying alpha-rule on (0) yields:
% 3.40/1.56  | (1) genlmt(c_basekb, c_universalvocabularymt)
% 3.84/1.56  | (2) geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24)
% 3.84/1.56  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.84/1.56  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2))
% 3.84/1.56  | (5)  ~ geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72)
% 3.84/1.56  | (6)  ! [v0] :  ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v0))
% 3.84/1.56  | (7) genls(c_orderingpredicate, c_transitivebinarypredicate)
% 3.84/1.56  | (8)  ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 3.84/1.56  | (9)  ! [v0] : ( ~ geographicalregion(v0) | geographicalsubregions(v0, v0))
% 3.84/1.56  | (10) transitivebinarypredicate(c_genlmt)
% 3.84/1.56  | (11)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v0, v1) |  ~ genls(v2, v0) | disjointwith(v2, v1))
% 3.84/1.56  | (12)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.84/1.56  | (13) genls(c_physicalorderingpredicate, c_orderingpredicate)
% 3.84/1.56  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ genls(v0, v1) | genls(v2, v1))
% 3.84/1.56  | (15)  ! [v0] : ( ~ orderingpredicate(v0) | transitivebinarypredicate(v0))
% 3.84/1.56  | (16)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.84/1.57  | (17)  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1))
% 3.84/1.57  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.84/1.57  | (19)  ! [v0] : ( ~ physicalorderingpredicate(v0) | isa(v0, c_physicalorderingpredicate))
% 3.84/1.57  | (20)  ! [v0] : ( ~ isa(v0, c_physicalorderingpredicate) | physicalorderingpredicate(v0))
% 3.84/1.57  | (21)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.84/1.57  | (22) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 3.84/1.57  | (23)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.84/1.57  | (24)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.84/1.57  | (25)  ! [v0] : ( ~ collection(v0) | genls(v0, v0))
% 3.84/1.57  | (26) genlmt(c_geographymt, c_basekb)
% 3.84/1.57  | (27) mtvisible(c_tptpgeo_member7_mt)
% 3.84/1.57  | (28)  ! [v0] :  ! [v1] : ( ~ genls(v0, v1) | collection(v1))
% 3.84/1.57  | (29)  ! [v0] : ( ~ physicalorderingpredicate(v0) | orderingpredicate(v0))
% 3.84/1.57  | (30)  ! [v0] : ( ~ orderingpredicate(v0) | isa(v0, c_orderingpredicate))
% 3.84/1.57  | (31)  ! [v0] : ( ~ isa(v0, c_orderingpredicate) | orderingpredicate(v0))
% 3.84/1.57  | (32)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.84/1.57  | (33)  ! [v0] :  ! [v1] : ( ~ geographicalsubregions(v0, v1) | geographicalregion(v1))
% 3.84/1.57  | (34)  ! [v0] :  ! [v1] : ( ~ genls(v0, v1) | collection(v0))
% 3.84/1.57  | (35) mtvisible(c_universalvocabularymt)
% 3.84/1.57  | (36)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.84/1.57  | (37)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.84/1.57  | (38) genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt)
% 3.84/1.57  | (39)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 3.84/1.57  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ isa(v0, v1) |  ~ genls(v1, v2) | isa(v0, v2))
% 3.84/1.57  | (41)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.84/1.57  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1))
% 3.84/1.57  | (43) mtvisible(c_basekb)
% 3.84/1.57  | (44)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.84/1.57  | (45)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 3.84/1.57  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ geographicalsubregions(v1, v2) |  ~ geographicalsubregions(v0, v1) | geographicalsubregions(v0, v2))
% 3.84/1.57  | (47) physicalorderingpredicate(c_geographicalsubregions)
% 3.84/1.57  | (48)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ genls(v0, v1) | genls(v0, v2))
% 3.84/1.57  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v0, v1) |  ~ genls(v2, v1) | disjointwith(v0, v2))
% 3.84/1.57  | (50)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.84/1.57  | (51) genlmt(c_worldgeographymt, c_geographymt)
% 3.84/1.57  | (52) geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72)
% 3.84/1.57  | (53)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.84/1.57  | (54)  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 3.84/1.57  | (55)  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 3.84/1.58  |
% 3.84/1.58  | Instantiating formula (46) with c_georegion_l4_x45_y72, c_georegion_l3_x15_y24, c_georegion_l2_x5_y8 and discharging atoms geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72), geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24),  ~ geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72), yields:
% 3.84/1.58  | (56) $false
% 3.84/1.58  |
% 3.84/1.58  |-The branch is then unsatisfiable
% 3.84/1.58  % SZS output end Proof for theBenchmark
% 3.84/1.58  
% 3.84/1.58  972ms
%------------------------------------------------------------------------------