TSTP Solution File: SWB015+2 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n022.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 18:59:38 EDT 2022

% Result   : Theorem 1.91s 1.11s
% Output   : Proof 2.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  1 00:29:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.59/0.60          ____       _                          
% 0.59/0.60    ___  / __ \_____(_)___  ________  __________
% 0.59/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.59/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.59/0.60  
% 0.59/0.60  A Theorem Prover for First-Order Logic
% 0.59/0.61  (ePrincess v.1.0)
% 0.59/0.61  
% 0.59/0.61  (c) Philipp Rümmer, 2009-2015
% 0.59/0.61  (c) Peter Backeman, 2014-2015
% 0.59/0.61  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.61  Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.61  Bug reports to peter@backeman.se
% 0.59/0.61  
% 0.59/0.61  For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.61  
% 0.59/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.66  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.26/0.89  Prover 0: Preprocessing ...
% 1.41/0.93  Prover 0: Warning: ignoring some quantifiers
% 1.43/0.94  Prover 0: Constructing countermodel ...
% 1.57/1.03  Prover 0: gave up
% 1.57/1.03  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.57/1.05  Prover 1: Preprocessing ...
% 1.91/1.09  Prover 1: Constructing countermodel ...
% 1.91/1.11  Prover 1: proved (79ms)
% 1.91/1.11  
% 1.91/1.11  No countermodel exists, formula is valid
% 1.91/1.11  % SZS status Theorem for theBenchmark
% 1.91/1.11  
% 1.91/1.11  Generating proof ... found it (size 5)
% 2.31/1.21  
% 2.31/1.21  % SZS output start Proof for theBenchmark
% 2.31/1.21  Assumed formulas after preprocessing and simplification: 
% 2.31/1.21  | (0)  ? [v0] : ( ~ (v0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = v0 &  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (iext(v5, v4, v3) = v2) |  ~ (iext(v5, v4, v3) = v1)) &  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (iext(uri_owl_sameAs, v1, v2) = 0)) &  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (iext(uri_owl_sameAs, v1, v1) = v2)))
% 2.37/1.25  | Instantiating (0) with all_0_0_0 yields:
% 2.37/1.25  | (1)  ~ (all_0_0_0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = all_0_0_0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (iext(v4, v3, v2) = v1) |  ~ (iext(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (iext(uri_owl_sameAs, v0, v1) = 0)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (iext(uri_owl_sameAs, v0, v0) = v1))
% 2.37/1.25  |
% 2.37/1.25  | Applying alpha-rule on (1) yields:
% 2.37/1.25  | (2) iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = all_0_0_0
% 2.37/1.25  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (iext(v4, v3, v2) = v1) |  ~ (iext(v4, v3, v2) = v0))
% 2.37/1.26  | (4)  ~ (all_0_0_0 = 0)
% 2.37/1.26  | (5)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (iext(uri_owl_sameAs, v0, v1) = 0))
% 2.37/1.26  | (6)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (iext(uri_owl_sameAs, v0, v0) = v1))
% 2.37/1.26  |
% 2.37/1.26  | Instantiating formula (6) with all_0_0_0, uri_owl_sameAs and discharging atoms iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = all_0_0_0, yields:
% 2.37/1.26  | (7) all_0_0_0 = 0
% 2.37/1.26  |
% 2.37/1.26  | Equations (7) can reduce 4 to:
% 2.37/1.26  | (8) $false
% 2.37/1.26  |
% 2.37/1.26  |-The branch is then unsatisfiable
% 2.37/1.26  % SZS output end Proof for theBenchmark
% 2.37/1.26  
% 2.37/1.26  643ms
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