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ePrincess---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR031+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 02:50:20 EDT 2022

% Result   : Theorem 2.30s 1.23s
% Output   : Proof 3.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR031+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n018.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 03:50:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.57/0.57          ____       _                          
% 0.57/0.57    ___  / __ \_____(_)___  ________  __________
% 0.57/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.57/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.57/0.57  
% 0.57/0.57  A Theorem Prover for First-Order Logic
% 0.57/0.57  (ePrincess v.1.0)
% 0.57/0.57  
% 0.57/0.57  (c) Philipp Rümmer, 2009-2015
% 0.57/0.57  (c) Peter Backeman, 2014-2015
% 0.57/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.57  Bug reports to peter@backeman.se
% 0.57/0.57  
% 0.57/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.57  
% 0.57/0.57  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.57/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.71/0.97  Prover 0: Preprocessing ...
% 2.01/1.14  Prover 0: Constructing countermodel ...
% 2.30/1.23  Prover 0: proved (607ms)
% 2.30/1.23  
% 2.30/1.23  No countermodel exists, formula is valid
% 2.30/1.23  % SZS status Theorem for theBenchmark
% 2.30/1.23  
% 2.30/1.23  Generating proof ... found it (size 4)
% 3.36/1.45  
% 3.36/1.45  % SZS output start Proof for theBenchmark
% 3.36/1.45  Assumed formulas after preprocessing and simplification: 
% 3.36/1.45  | (0) mtvisible(c_basekb) & mtvisible(c_logicaltruthmt) & mtvisible(c_corecyclmt) & mtvisible(c_universalvocabularymt) & arg2isa(c_disjointwith, c_collection) & disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488) & disjointwith(c_collection, c_individual) & individual(c_tptptptpcol_16_8398) & transitivebinarypredicate(c_genlmt) & genlmt(c_corecyclmt, c_logicaltruthmt) & genlmt(c_universalvocabularymt, c_corecyclmt) &  ! [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] : ( ~ individual(v0) |  ~ collection(v0)) &  ! [v0] : ( ~ individual(v0) | isa(v0, c_individual)) &  ! [v0] : ( ~ collection(v0) | isa(v0, c_collection)) &  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 3.36/1.47  | Applying alpha-rule on (0) yields:
% 3.36/1.47  | (1) disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488)
% 3.36/1.47  | (2) mtvisible(c_universalvocabularymt)
% 3.36/1.47  | (3)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v1))
% 3.36/1.47  | (4) mtvisible(c_logicaltruthmt)
% 3.36/1.47  | (5)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ arg2isa(v0, v1) | arg2isa(v0, v2))
% 3.36/1.47  | (6)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 3.36/1.47  | (7)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 3.36/1.47  | (8)  ! [v0] :  ! [v1] : ( ~ genlmt(v0, v1) | microtheory(v0))
% 3.36/1.47  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2))
% 3.36/1.47  | (10)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 3.36/1.47  | (11)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 3.36/1.47  | (12) genlmt(c_universalvocabularymt, c_corecyclmt)
% 3.36/1.47  | (13) transitivebinarypredicate(c_genlmt)
% 3.36/1.47  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 3.36/1.47  | (15)  ! [v0] : ( ~ microtheory(v0) | genlmt(v0, v0))
% 3.36/1.47  | (16)  ! [v0] : ( ~ transitivebinarypredicate(v0) | isa(v0, c_transitivebinarypredicate))
% 3.36/1.47  | (17)  ! [v0] : ( ~ isa(v0, c_transitivebinarypredicate) | transitivebinarypredicate(v0))
% 3.36/1.47  | (18)  ! [v0] : ( ~ individual(v0) |  ~ collection(v0))
% 3.36/1.47  | (19)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlmt(v1, v2) |  ~ genlmt(v0, v1) | genlmt(v0, v2))
% 3.36/1.48  | (20)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 3.36/1.48  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 3.36/1.48  | (22)  ! [v0] : ( ~ individual(v0) | isa(v0, c_individual))
% 3.36/1.48  | (23)  ! [v0] : ( ~ isa(v0, c_individual) | individual(v0))
% 3.36/1.48  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 3.36/1.48  | (25) disjointwith(c_collection, c_individual)
% 3.36/1.48  | (26)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 3.36/1.48  | (27) genlmt(c_corecyclmt, c_logicaltruthmt)
% 3.36/1.48  | (28) mtvisible(c_basekb)
% 3.36/1.48  | (29)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 3.36/1.48  | (30) mtvisible(c_corecyclmt)
% 3.36/1.48  | (31)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 3.36/1.48  | (32)  ! [v0] : ( ~ collection(v0) | isa(v0, c_collection))
% 3.36/1.48  | (33)  ! [v0] : ( ~ isa(v0, c_collection) | collection(v0))
% 3.36/1.48  | (34)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 3.36/1.48  | (35)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ isa(v0, v2) |  ~ isa(v0, v1) |  ~ disjointwith(v1, v2))
% 3.36/1.48  | (36)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 3.36/1.48  | (37)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 3.36/1.48  | (38) individual(c_tptptptpcol_16_8398)
% 3.36/1.48  | (39) arg2isa(c_disjointwith, c_collection)
% 3.36/1.48  | (40)  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | relation(v0))
% 3.36/1.48  | (41)  ! [v0] :  ! [v1] : ( ~ mtvisible(v0) |  ~ genlmt(v0, v1) | mtvisible(v1))
% 3.36/1.48  | (42)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 3.36/1.48  | (43)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 3.36/1.48  | (44)  ! [v0] :  ! [v1] : ( ~ arg2isa(v0, v1) | collection(v1))
% 3.36/1.48  |
% 3.36/1.48  | Instantiating formula (34) with c_tptpcol_16_18488, c_tptptptpcol_16_8398 and discharging atoms disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488), yields:
% 3.36/1.48  | (45) collection(c_tptptptpcol_16_8398)
% 3.36/1.48  |
% 3.36/1.48  | Instantiating formula (18) with c_tptptptpcol_16_8398 and discharging atoms individual(c_tptptptpcol_16_8398), collection(c_tptptptpcol_16_8398), yields:
% 3.36/1.48  | (46) $false
% 3.36/1.48  |
% 3.36/1.48  |-The branch is then unsatisfiable
% 3.36/1.48  % SZS output end Proof for theBenchmark
% 3.36/1.48  
% 3.36/1.48  902ms
%------------------------------------------------------------------------------