TSTP Solution File: CSR042+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : CSR042+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n032.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 02:50:31 EDT 2022

% Result   : Theorem 1.78s 1.01s
% Output   : Proof 2.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : CSR042+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11  % Command  : ePrincess-casc -timeout=%d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sat Jun 11 09:19:39 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.49          ____       _                          
% 0.15/0.49    ___  / __ \_____(_)___  ________  __________
% 0.15/0.49   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.15/0.49  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.15/0.49  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.15/0.49  
% 0.15/0.49  A Theorem Prover for First-Order Logic
% 0.15/0.50  (ePrincess v.1.0)
% 0.15/0.50  
% 0.15/0.50  (c) Philipp Rümmer, 2009-2015
% 0.15/0.50  (c) Peter Backeman, 2014-2015
% 0.15/0.50  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.15/0.50  Free software under GNU Lesser General Public License (LGPL).
% 0.15/0.50  Bug reports to peter@backeman.se
% 0.15/0.50  
% 0.15/0.50  For more information, visit http://user.uu.se/~petba168/breu/
% 0.15/0.50  
% 0.15/0.50  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.54  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.80  Prover 0: Preprocessing ...
% 1.63/0.94  Prover 0: Constructing countermodel ...
% 1.78/1.01  Prover 0: proved (470ms)
% 1.78/1.01  
% 1.78/1.01  No countermodel exists, formula is valid
% 1.78/1.01  % SZS status Theorem for theBenchmark
% 1.78/1.01  
% 1.78/1.01  Generating proof ... found it (size 4)
% 2.11/1.14  
% 2.11/1.14  % SZS output start Proof for theBenchmark
% 2.11/1.14  Assumed formulas after preprocessing and simplification: 
% 2.11/1.14  | (0) borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65) & mtvisible(c_basekb) & mtvisible(c_tptpgeo_member7_mt) &  ! [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] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, 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] : ( ~ 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] : ( ~ borderson(v0, v1) | geographicalregion(v1)) &  ! [v0] :  ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v0)) &  ! [v0] :  ! [v1] : ( ~ borderson(v0, v1) | borderson(v1, v0)) &  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0)) &  ! [v0] :  ~ borderson(v0, v0) &  ! [v0] :  ~ borderson(v0, c_georegion_l4_x27_y64)
% 2.11/1.16  | Applying alpha-rule on (0) yields:
% 2.11/1.16  | (1) mtvisible(c_tptpgeo_member7_mt)
% 2.11/1.16  | (2)  ! [v0] :  ~ borderson(v0, c_georegion_l4_x27_y64)
% 2.11/1.16  | (3) borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)
% 2.11/1.16  | (4)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlinverse(v0, v1) | genlinverse(v0, v2))
% 2.11/1.16  | (5)  ! [v0] : ( ~ predicate(v0) | genlpreds(v0, v0))
% 2.11/1.16  | (6)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v0))
% 2.11/1.16  | (7)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | thing(v0))
% 2.11/1.16  | (8)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v1) |  ~ disjointwith(v0, v1) | disjointwith(v0, v2))
% 2.11/1.16  | (9)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v1, v2) |  ~ isa(v0, v1) | isa(v0, v2))
% 2.11/1.16  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v2, v0) |  ~ genlinverse(v0, v1) | genlinverse(v2, v1))
% 2.11/1.16  | (11)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | disjointwith(v1, v0))
% 2.11/1.16  | (12)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ disjointwith(v1, v2) |  ~ isa(v0, v2) |  ~ isa(v0, v1))
% 2.11/1.16  | (13)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v1))
% 2.11/1.16  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlinverse(v1, v2) |  ~ genlinverse(v0, v1) | genlpreds(v0, v2))
% 2.11/1.16  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genls(v2, v0) |  ~ disjointwith(v0, v1) | disjointwith(v2, v1))
% 2.11/1.17  | (16)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v1))
% 2.11/1.17  | (17) mtvisible(c_basekb)
% 2.11/1.17  | (18)  ! [v0] :  ! [v1] : ( ~ disjointwith(v0, v1) | collection(v1))
% 2.11/1.17  | (19)  ! [v0] :  ~ borderson(v0, v0)
% 2.11/1.17  | (20)  ! [v0] :  ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v1))
% 2.11/1.17  | (21)  ! [v0] :  ! [v1] : ( ~ genlpreds(v0, v1) | predicate(v0))
% 2.11/1.17  | (22)  ! [v0] :  ! [v1] : ( ~ borderson(v0, v1) | geographicalregion(v0))
% 2.11/1.17  | (23)  ! [v0] :  ! [v1] : ( ~ isa(v0, v1) | collection(v1))
% 2.11/1.17  | (24)  ! [v0] :  ! [v1] : ( ~ borderson(v0, v1) | borderson(v1, v0))
% 2.11/1.17  | (25)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ genlpreds(v1, v2) |  ~ genlpreds(v0, v1) | genlpreds(v0, v2))
% 2.11/1.17  | (26)  ! [v0] :  ! [v1] : ( ~ genlinverse(v0, v1) | binarypredicate(v0))
% 2.11/1.17  |
% 2.11/1.17  | Instantiating formula (24) with c_georegion_l4_x27_y65, c_georegion_l4_x27_y64 and discharging atoms borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65), yields:
% 2.11/1.17  | (27) borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)
% 2.11/1.17  |
% 2.11/1.17  | Instantiating formula (2) with c_georegion_l4_x27_y65 and discharging atoms borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64), yields:
% 2.11/1.17  | (28) $false
% 2.11/1.17  |
% 2.11/1.17  |-The branch is then unsatisfiable
% 2.11/1.17  % SZS output end Proof for theBenchmark
% 2.11/1.17  
% 2.11/1.17  665ms
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