TSTP Solution File: SWB019+2 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n019.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   : Unsatisfiable 1.51s 1.00s
% Output   : Proof 2.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB019+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n019.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 : Wed Jun  1 08:41:10 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/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.62  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.20/0.84  Prover 0: Preprocessing ...
% 1.51/0.94  Prover 0: Constructing countermodel ...
% 1.51/1.00  Prover 0: proved (377ms)
% 1.51/1.00  
% 1.51/1.00  No countermodel exists, formula is valid
% 1.51/1.00  % SZS status Unsatisfiable for theBenchmark
% 1.51/1.00  
% 1.51/1.00  Generating proof ... found it (size 4)
% 2.07/1.12  
% 2.07/1.12  % SZS output start Proof for theBenchmark
% 2.07/1.12  Assumed formulas after preprocessing and simplification: 
% 2.07/1.12  | (0)  ? [v0] : (literal_plain(dat_str_foo) = v0 & iext(uri_skos_altLabel, uri_ex_foo, v0) & iext(uri_rdfs_subPropertyOf, uri_skos_altLabel, uri_rdfs_label) & iext(uri_rdfs_subPropertyOf, uri_skos_prefLabel, uri_rdfs_label) & iext(uri_skos_prefLabel, uri_ex_foo, v0) & iext(uri_rdf_type, uri_skos_altLabel, uri_owl_AnnotationProperty) & iext(uri_rdf_type, uri_skos_prefLabel, uri_owl_AnnotationProperty) & iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel) &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ iext(v2, v3, v4) |  ~ iext(v1, v3, v4) |  ~ iext(uri_owl_propertyDisjointWith, v1, v2)) &  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (literal_plain(v3) = v2) |  ~ (literal_plain(v3) = v1)) &  ! [v1] :  ! [v2] : ( ~ ip(v2) |  ~ ip(v1) | iext(uri_owl_propertyDisjointWith, v1, v2) |  ? [v3] :  ? [v4] : (iext(v2, v3, v4) & iext(v1, v3, v4))) &  ! [v1] :  ! [v2] : ( ~ iext(uri_owl_propertyDisjointWith, v1, v2) | ip(v2)) &  ! [v1] :  ! [v2] : ( ~ iext(uri_owl_propertyDisjointWith, v1, v2) | ip(v1)))
% 2.07/1.17  | Instantiating (0) with all_0_0_0 yields:
% 2.07/1.17  | (1) literal_plain(dat_str_foo) = all_0_0_0 & iext(uri_skos_altLabel, uri_ex_foo, all_0_0_0) & iext(uri_rdfs_subPropertyOf, uri_skos_altLabel, uri_rdfs_label) & iext(uri_rdfs_subPropertyOf, uri_skos_prefLabel, uri_rdfs_label) & iext(uri_skos_prefLabel, uri_ex_foo, all_0_0_0) & iext(uri_rdf_type, uri_skos_altLabel, uri_owl_AnnotationProperty) & iext(uri_rdf_type, uri_skos_prefLabel, uri_owl_AnnotationProperty) & iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v1, v2, v3) |  ~ iext(v0, v2, v3) |  ~ iext(uri_owl_propertyDisjointWith, v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (literal_plain(v2) = v1) |  ~ (literal_plain(v2) = v0)) &  ! [v0] :  ! [v1] : ( ~ ip(v1) |  ~ ip(v0) | iext(uri_owl_propertyDisjointWith, v0, v1) |  ? [v2] :  ? [v3] : (iext(v1, v2, v3) & iext(v0, v2, v3))) &  ! [v0] :  ! [v1] : ( ~ iext(uri_owl_propertyDisjointWith, v0, v1) | ip(v1)) &  ! [v0] :  ! [v1] : ( ~ iext(uri_owl_propertyDisjointWith, v0, v1) | ip(v0))
% 2.07/1.17  |
% 2.07/1.17  | Applying alpha-rule on (1) yields:
% 2.07/1.17  | (2) iext(uri_skos_prefLabel, uri_ex_foo, all_0_0_0)
% 2.07/1.18  | (3) iext(uri_rdf_type, uri_skos_altLabel, uri_owl_AnnotationProperty)
% 2.07/1.18  | (4) iext(uri_rdfs_subPropertyOf, uri_skos_altLabel, uri_rdfs_label)
% 2.07/1.18  | (5)  ! [v0] :  ! [v1] : ( ~ iext(uri_owl_propertyDisjointWith, v0, v1) | ip(v1))
% 2.07/1.18  | (6) iext(uri_rdf_type, uri_skos_prefLabel, uri_owl_AnnotationProperty)
% 2.07/1.18  | (7) iext(uri_rdfs_subPropertyOf, uri_skos_prefLabel, uri_rdfs_label)
% 2.07/1.18  | (8) literal_plain(dat_str_foo) = all_0_0_0
% 2.07/1.18  | (9) iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel)
% 2.07/1.18  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ iext(v1, v2, v3) |  ~ iext(v0, v2, v3) |  ~ iext(uri_owl_propertyDisjointWith, v0, v1))
% 2.07/1.18  | (11)  ! [v0] :  ! [v1] : ( ~ ip(v1) |  ~ ip(v0) | iext(uri_owl_propertyDisjointWith, v0, v1) |  ? [v2] :  ? [v3] : (iext(v1, v2, v3) & iext(v0, v2, v3)))
% 2.07/1.18  | (12) iext(uri_skos_altLabel, uri_ex_foo, all_0_0_0)
% 2.07/1.18  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (literal_plain(v2) = v1) |  ~ (literal_plain(v2) = v0))
% 2.07/1.18  | (14)  ! [v0] :  ! [v1] : ( ~ iext(uri_owl_propertyDisjointWith, v0, v1) | ip(v0))
% 2.07/1.18  |
% 2.07/1.18  | Instantiating formula (10) with all_0_0_0, uri_ex_foo, uri_skos_altLabel, uri_skos_prefLabel and discharging atoms iext(uri_skos_altLabel, uri_ex_foo, all_0_0_0), iext(uri_skos_prefLabel, uri_ex_foo, all_0_0_0), iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel), yields:
% 2.07/1.18  | (15) $false
% 2.07/1.18  |
% 2.33/1.18  |-The branch is then unsatisfiable
% 2.33/1.18  % SZS output end Proof for theBenchmark
% 2.33/1.18  
% 2.33/1.18  601ms
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