TSTP Solution File: CSR055+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR055+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 02:50:45 EDT 2022

% Result   : Theorem 2.42s 1.21s
% Output   : Proof 3.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : CSR055+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % 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 : Thu Jun  9 22:04:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.57          ____       _                          
% 0.18/0.57    ___  / __ \_____(_)___  ________  __________
% 0.18/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.18/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.18/0.57  
% 0.18/0.57  A Theorem Prover for First-Order Logic
% 0.18/0.57  (ePrincess v.1.0)
% 0.18/0.57  
% 0.18/0.57  (c) Philipp Rümmer, 2009-2015
% 0.18/0.57  (c) Peter Backeman, 2014-2015
% 0.18/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57  Bug reports to peter@backeman.se
% 0.18/0.57  
% 0.18/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57  
% 0.18/0.57  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/0.94  Prover 0: Preprocessing ...
% 2.05/1.12  Prover 0: Constructing countermodel ...
% 2.42/1.21  Prover 0: proved (588ms)
% 2.42/1.21  
% 2.42/1.21  No countermodel exists, formula is valid
% 2.42/1.21  % SZS status Theorem for theBenchmark
% 2.42/1.21  
% 2.42/1.21  Generating proof ... found it (size 4)
% 3.24/1.43  
% 3.24/1.43  % SZS output start Proof for theBenchmark
% 3.24/1.43  Assumed formulas after preprocessing and simplification: 
% 3.24/1.43  | (0) mtvisible(c_basekb) & mtvisible(c_logicaltruthmt) & mtvisible(c_corecyclmt) & mtvisible(c_universalvocabularymt) & arg2isa(c_disjointwith, c_collection) & disjointwith(c_collection, c_individual) & disjointwith(c_xskijump_thegame, c_tptpcol_16_35301) & transitivebinarypredicate(c_genlmt) & genlmt(c_corecyclmt, c_logicaltruthmt) & genlmt(c_universalvocabularymt, c_corecyclmt) & individual(c_xskijump_thegame) &  ! [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) |  ~ arg2isa(v0, v1) | arg2isa(v0, v2)) &  ! [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] : ( ~ isa(v0, v2) |  ~ isa(v0, v1) |  ~ disjointwith(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2)) &  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1)) &  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | relation(v0)) &  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | collection(v1)) &  ! [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] : ( ~ isa(v0, v1) | thing(v0)) &  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1)) &  ! [v0] :  ! [v1] : ( ~ disjointwith(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] : ( ~ predicate(v0) | genlpreds(v0, v0)) &  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0)) &  ! [v0] : ( ~ isa(v0, c_individual) | individual(v0)) &  ! [v0] : ( ~ isa(v0, c_collection) | collection(v0)) &  ! [v0] : ( ~ collection(v0) |  ~ individual(v0)) &  ! [v0] : ( ~ collection(v0) | isa(v0, c_collection)) &  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate)) &  ! [v0] : ( ~ individual(v0) | isa(v0, c_individual))
% 3.24/1.45  | Applying alpha-rule on (0) yields:
% 3.24/1.45  | (1) transitivebinarypredicate(c_genlmt)
% 3.24/1.45  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ arg2isa(v0, v1) | arg2isa(v0, v2))
% 3.24/1.45  | (3)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.24/1.45  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ isa(v0, v2) |  ~ isa(v0, v1) |  ~ disjointwith(v1, v2))
% 3.24/1.45  | (5) disjointwith(c_xskijump_thegame, c_tptpcol_16_35301)
% 3.24/1.45  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2))
% 3.24/1.45  | (7)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2))
% 3.24/1.45  | (8)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.24/1.45  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.24/1.45  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 3.24/1.45  | (11)  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | collection(v1))
% 3.24/1.45  | (12)  ! [v0] : ( ~ individual(v0) | isa(v0, c_individual))
% 3.24/1.45  | (13)  ! [v0] : ( ~ isa(v0, c_individual) | individual(v0))
% 3.24/1.45  | (14)  ! [v0] : ( ~ collection(v0) |  ~ individual(v0))
% 3.24/1.45  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 3.24/1.45  | (16) arg2isa(c_disjointwith, c_collection)
% 3.24/1.45  | (17) disjointwith(c_collection, c_individual)
% 3.24/1.45  | (18)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.24/1.45  | (19)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 3.24/1.45  | (20)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.24/1.45  | (21) mtvisible(c_universalvocabularymt)
% 3.24/1.45  | (22)  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1))
% 3.24/1.45  | (23)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 3.24/1.46  | (24)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.24/1.46  | (25) mtvisible(c_corecyclmt)
% 3.24/1.46  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.24/1.46  | (27)  ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 3.24/1.46  | (28) mtvisible(c_logicaltruthmt)
% 3.24/1.46  | (29) genlmt(c_corecyclmt, c_logicaltruthmt)
% 3.24/1.46  | (30)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.24/1.46  | (31) mtvisible(c_basekb)
% 3.24/1.46  | (32)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.24/1.46  | (33)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.24/1.46  | (34)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.24/1.46  | (35) genlmt(c_universalvocabularymt, c_corecyclmt)
% 3.24/1.46  | (36)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.24/1.46  | (37)  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 3.24/1.46  | (38)  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 3.24/1.46  | (39)  ! [v0] : ( ~ collection(v0) | isa(v0, c_collection))
% 3.51/1.46  | (40)  ! [v0] : ( ~ isa(v0, c_collection) | collection(v0))
% 3.51/1.46  | (41)  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | relation(v0))
% 3.51/1.46  | (42)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.51/1.46  | (43) individual(c_xskijump_thegame)
% 3.51/1.46  | (44)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.51/1.46  |
% 3.51/1.46  | Instantiating formula (18) with c_tptpcol_16_35301, c_xskijump_thegame and discharging atoms disjointwith(c_xskijump_thegame, c_tptpcol_16_35301), yields:
% 3.51/1.46  | (45) collection(c_xskijump_thegame)
% 3.51/1.46  |
% 3.51/1.46  | Instantiating formula (14) with c_xskijump_thegame and discharging atoms collection(c_xskijump_thegame), individual(c_xskijump_thegame), yields:
% 3.51/1.46  | (46) $false
% 3.51/1.46  |
% 3.51/1.46  |-The branch is then unsatisfiable
% 3.51/1.46  % SZS output end Proof for theBenchmark
% 3.51/1.46  
% 3.51/1.46  883ms
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