↑ Up

ePrincess---1.0.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% 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 : Tue Jul 19 18:59:40 EDT 2022

% Result   : Theorem 1.74s 1.05s
% Output   : Proof 2.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n027.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 : Wed Jun  1 09:25:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.50/0.60          ____       _                          
% 0.50/0.60    ___  / __ \_____(_)___  ________  __________
% 0.50/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.50/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.50/0.60  
% 0.50/0.60  A Theorem Prover for First-Order Logic
% 0.50/0.60  (ePrincess v.1.0)
% 0.50/0.60  
% 0.50/0.60  (c) Philipp Rümmer, 2009-2015
% 0.50/0.60  (c) Peter Backeman, 2014-2015
% 0.50/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.60  Bug reports to peter@backeman.se
% 0.50/0.60  
% 0.50/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.60  
% 0.50/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.31/0.88  Prover 0: Preprocessing ...
% 1.48/0.95  Prover 0: Warning: ignoring some quantifiers
% 1.48/0.97  Prover 0: Constructing countermodel ...
% 1.74/1.05  Prover 0: proved (404ms)
% 1.74/1.05  
% 1.74/1.05  No countermodel exists, formula is valid
% 1.74/1.05  % SZS status Theorem for theBenchmark
% 1.74/1.05  
% 1.74/1.05  Generating proof ... Warning: ignoring some quantifiers
% 2.13/1.17  found it (size 6)
% 2.13/1.17  
% 2.13/1.17  % SZS output start Proof for theBenchmark
% 2.13/1.17  Assumed formulas after preprocessing and simplification: 
% 2.13/1.17  | (0) iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) & iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person) &  ~ iext(uri_rdf_type, uri_ex_u, uri_ex_Person) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ iext(uri_owl_sameAs, v0, v1)) &  ! [v0] :  ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) &  ? [v0] : iext(uri_owl_sameAs, v0, v0)
% 2.19/1.18  | Applying alpha-rule on (0) yields:
% 2.19/1.18  | (1)  ! [v0] :  ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 2.19/1.18  | (2)  ! [v0] :  ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1))
% 2.19/1.18  | (3)  ? [v0] : iext(uri_owl_sameAs, v0, v0)
% 2.19/1.18  | (4) iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)
% 2.19/1.18  | (5) iext(uri_owl_sameAs, uri_ex_w, uri_ex_u)
% 2.19/1.18  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v0, v2, v3) |  ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2))
% 2.19/1.18  | (7)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ iext(uri_owl_sameAs, v0, v1))
% 2.19/1.18  | (8)  ~ iext(uri_rdf_type, uri_ex_u, uri_ex_Person)
% 2.19/1.18  |
% 2.19/1.18  | Instantiating formula (7) with uri_ex_u, uri_ex_w and discharging atoms iext(uri_owl_sameAs, uri_ex_w, uri_ex_u), yields:
% 2.19/1.18  | (9) uri_ex_w = uri_ex_u
% 2.19/1.18  |
% 2.19/1.18  | From (9) and (5) follows:
% 2.19/1.18  | (10) iext(uri_owl_sameAs, uri_ex_u, uri_ex_u)
% 2.19/1.18  |
% 2.19/1.19  | Instantiating formula (6) with uri_ex_u, uri_ex_u, uri_ex_Person, uri_owl_sameAs and discharging atoms iext(uri_owl_sameAs, uri_ex_u, uri_ex_u), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), yields:
% 2.19/1.19  | (11) icext(uri_ex_Person, uri_ex_u)
% 2.19/1.19  |
% 2.19/1.19  | Instantiating formula (2) with uri_ex_Person, uri_ex_u and discharging atoms icext(uri_ex_Person, uri_ex_u),  ~ iext(uri_rdf_type, uri_ex_u, uri_ex_Person), yields:
% 2.19/1.19  | (12) $false
% 2.19/1.19  |
% 2.19/1.19  |-The branch is then unsatisfiable
% 2.19/1.19  % SZS output end Proof for theBenchmark
% 2.19/1.19  
% 2.19/1.19  579ms
%------------------------------------------------------------------------------