TSTP Solution File: CSR030+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR030+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 02:50:19 EDT 2022

% Result   : Theorem 2.83s 1.34s
% Output   : Proof 4.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : CSR030+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % 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 : Sat Jun 11 16:15:15 EDT 2022
% 0.12/0.33  % 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  
% 0.19/0.58  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.62/0.98  Prover 0: Preprocessing ...
% 1.97/1.15  Prover 0: Constructing countermodel ...
% 2.83/1.34  Prover 0: proved (698ms)
% 2.83/1.34  
% 2.83/1.34  No countermodel exists, formula is valid
% 2.83/1.34  % SZS status Theorem for theBenchmark
% 2.83/1.34  
% 2.83/1.34  Generating proof ... found it (size 9)
% 4.17/1.64  
% 4.17/1.64  % SZS output start Proof for theBenchmark
% 4.17/1.64  Assumed formulas after preprocessing and simplification: 
% 4.17/1.64  | (0) mtvisible(c_tptp_member3393_mt) & mtvisible(c_universalvocabularymt) & mtvisible(c_basekb) & genlinverse(c_tptptypes_7_389, c_tptptypes_6_388) & genlpreds(c_tptptypes_6_388, c_tptptypes_5_387) & transitivebinarypredicate(c_genlmt) & genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) & 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) &  ! [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] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v0, v1) |  ~ genlpreds(v2, v0) | genlinverse(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v0, v1) |  ~ genlpreds(v1, v2) | genlinverse(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2)) &  ! [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] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v1)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v0)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_7_389(v0, v1) | tptptypes_6_388(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1)) &  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v1)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v0)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v1)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v0)) &  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | tptptypes_5_387(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1)) &  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0)) &  ! [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] : ( ~ pushingwithopenhand(v0) | isa(v0, c_pushingwithopenhand)) &  ! [v0] : ( ~ tptpcol_16_4451(v0) | isa(v0, c_tptpcol_16_4451)) &  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) &  ! [v0] : ( ~ isa(v0, c_tptpcol_16_4451) | tptpcol_16_4451(v0)) &  ! [v0] : ( ~ isa(v0, c_pushingwithopenhand) | pushingwithopenhand(v0)) &  ! [v0] :  ~ tptptypes_5_387(v0, c_pushingwithopenhand) &  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) & ( ~ mtvisible(c_tptp_spindleheadmt) | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451))
% 4.17/1.66  | Applying alpha-rule on (0) yields:
% 4.17/1.66  | (1)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 4.17/1.66  | (2)  ! [v0] : ( ~ isa(v0, c_tptpcol_16_4451) | tptpcol_16_4451(v0))
% 4.17/1.66  | (3)  ! [v0] : ( ~ tptpcol_16_4451(v0) | isa(v0, c_tptpcol_16_4451))
% 4.17/1.66  | (4) mtvisible(c_tptp_member3393_mt)
% 4.17/1.66  | (5)  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 4.17/1.67  | (6)  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 4.17/1.67  | (7)  ! [v0] :  ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v0))
% 4.17/1.67  | (8) mtvisible(c_universalvocabularymt)
% 4.17/1.67  | (9)  ! [v0] :  ~ tptptypes_5_387(v0, c_pushingwithopenhand)
% 4.17/1.67  | (10)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 4.17/1.67  | (11) genlinverse(c_tptptypes_7_389, c_tptptypes_6_388)
% 4.17/1.67  | (12) transitivebinarypredicate(c_genlmt)
% 4.17/1.67  | (13) genlmt(c_cyclistsmt, c_calendarsmt)
% 4.17/1.67  | (14)  ! [v0] :  ! [v1] : ( ~ tptptypes_5_387(v0, v1) | firstordercollection(v1))
% 4.17/1.67  | (15) genlmt(c_tptp_spindleheadmt, c_cyclistsmt)
% 4.17/1.67  | (16)  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1))
% 4.17/1.67  | (17)  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v0))
% 4.17/1.67  | (18)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 4.17/1.67  | (19) genlmt(c_calendarsmt, c_calendarsvocabularymt)
% 4.17/1.67  | (20)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 4.17/1.67  | (21)  ! [v0] :  ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v0))
% 4.17/1.67  | (22)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 4.17/1.67  | (23)  ~ mtvisible(c_tptp_spindleheadmt) | tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451)
% 4.17/1.67  | (24) genlmt(c_calendarsvocabularymt, c_basekb)
% 4.17/1.67  | (25)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 4.17/1.67  | (26)  ! [v0] :  ! [v1] : ( ~ tptptypes_7_389(v0, v1) | tptptypes_6_388(v1, v0))
% 4.17/1.67  | (27)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 4.17/1.67  | (28) mtvisible(c_basekb)
% 4.17/1.67  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2))
% 4.17/1.67  | (30) genlpreds(c_tptptypes_6_388, c_tptptypes_5_387)
% 4.17/1.67  | (31)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 4.17/1.67  | (32)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 4.17/1.67  | (33)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 4.17/1.67  | (34)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 4.17/1.67  | (35)  ! [v0] : ( ~ isa(v0, c_pushingwithopenhand) | pushingwithopenhand(v0))
% 4.17/1.67  | (36)  ! [v0] : ( ~ pushingwithopenhand(v0) | isa(v0, c_pushingwithopenhand))
% 4.17/1.67  | (37)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 4.17/1.67  | (38) genlmt(c_basekb, c_universalvocabularymt)
% 4.17/1.67  | (39)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v0, v1) |  ~ genlpreds(v1, v2) | genlinverse(v0, v2))
% 4.17/1.67  | (40)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1))
% 4.17/1.67  | (41) genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt)
% 4.17/1.67  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v0, v1) |  ~ genlpreds(v2, v0) | genlinverse(v2, v1))
% 4.17/1.67  | (43)  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | tptptypes_5_387(v0, v1))
% 4.17/1.67  | (44)  ! [v0] :  ! [v1] : ( ~ tptptypes_6_388(v0, v1) | firstordercollection(v1))
% 4.17/1.67  | (45)  ! [v0] :  ! [v1] : ( ~ tptptypes_7_389(v0, v1) | firstordercollection(v1))
% 4.17/1.68  | (46)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 4.17/1.68  | (47)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2))
% 4.17/1.68  | (48)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 4.17/1.68  | (49)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 4.17/1.68  | (50)  ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 4.17/1.68  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 4.17/1.68  |
% 4.17/1.68  | Instantiating formula (16) with c_tptp_spindleheadmt, c_tptp_member3393_mt and discharging atoms mtvisible(c_tptp_member3393_mt), genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt), yields:
% 4.17/1.68  | (52) mtvisible(c_tptp_spindleheadmt)
% 4.17/1.68  |
% 4.17/1.68  +-Applying beta-rule and splitting (23), into two cases.
% 4.17/1.68  |-Branch one:
% 4.17/1.68  | (53) tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451)
% 4.17/1.68  |
% 4.17/1.68  	| Instantiating formula (26) with c_tptpcol_16_4451, c_pushingwithopenhand and discharging atoms tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), yields:
% 4.17/1.68  	| (54) tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand)
% 4.17/1.68  	|
% 4.17/1.68  	| Instantiating formula (43) with c_pushingwithopenhand, c_tptpcol_16_4451 and discharging atoms tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), yields:
% 4.17/1.68  	| (55) tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand)
% 4.17/1.68  	|
% 4.17/1.68  	| Instantiating formula (9) with c_tptpcol_16_4451 and discharging atoms tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), yields:
% 4.17/1.68  	| (56) $false
% 4.17/1.68  	|
% 4.17/1.68  	|-The branch is then unsatisfiable
% 4.17/1.68  |-Branch two:
% 4.17/1.68  | (57)  ~ tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451)
% 4.17/1.68  | (58)  ~ mtvisible(c_tptp_spindleheadmt)
% 4.17/1.68  |
% 4.17/1.68  	| Using (52) and (58) yields:
% 4.17/1.68  	| (56) $false
% 4.17/1.68  	|
% 4.17/1.68  	|-The branch is then unsatisfiable
% 4.17/1.68  % SZS output end Proof for theBenchmark
% 4.17/1.68  
% 4.17/1.68  1095ms
%------------------------------------------------------------------------------