↑ Up

ePrincess---1.0.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n026.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 : Mon Jul 18 18:08:58 EDT 2022

% Result   : Theorem 1.31s 0.99s
% Output   : Proof 1.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n026.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 : Sun May 29 00:14:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.57          ____       _                          
% 0.19/0.57    ___  / __ \_____(_)___  ________  __________
% 0.19/0.57   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.57  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.57  
% 0.19/0.57  A Theorem Prover for First-Order Logic
% 0.19/0.57  (ePrincess v.1.0)
% 0.19/0.57  
% 0.19/0.57  (c) Philipp Rümmer, 2009-2015
% 0.19/0.57  (c) Peter Backeman, 2014-2015
% 0.19/0.57  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57  Bug reports to peter@backeman.se
% 0.19/0.57  
% 0.19/0.57  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.57  
% 0.19/0.57  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.61  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.87  Prover 0: Preprocessing ...
% 1.30/0.93  Prover 0: Constructing countermodel ...
% 1.31/0.99  Prover 0: proved (376ms)
% 1.31/0.99  
% 1.31/0.99  No countermodel exists, formula is valid
% 1.31/0.99  % SZS status Theorem for theBenchmark
% 1.31/0.99  
% 1.31/0.99  Generating proof ... found it (size 4)
% 1.73/1.07  
% 1.73/1.07  % SZS output start Proof for theBenchmark
% 1.73/1.07  Assumed formulas after preprocessing and simplification: 
% 1.73/1.07  | (0) patricide(oedipus) & parent_of(polyneikes, thersandros) & parent_of(oedipus, polyneikes) & parent_of(iokaste, polyneikes) & parent_of(iokaste, oedipus) &  ~ patricide(thersandros) &  ! [v0] :  ! [v1] : ( ~ patricide(v0) |  ~ parent_of(v0, v1) |  ~ parent_of(iokaste, v0) | patricide(v1))
% 1.73/1.08  | Applying alpha-rule on (0) yields:
% 1.73/1.08  | (1)  ! [v0] :  ! [v1] : ( ~ patricide(v0) |  ~ parent_of(v0, v1) |  ~ parent_of(iokaste, v0) | patricide(v1))
% 1.73/1.08  | (2) parent_of(iokaste, oedipus)
% 1.73/1.08  | (3) parent_of(oedipus, polyneikes)
% 1.73/1.08  | (4)  ~ patricide(thersandros)
% 1.73/1.08  | (5) parent_of(iokaste, polyneikes)
% 1.73/1.08  | (6) patricide(oedipus)
% 1.73/1.08  | (7) parent_of(polyneikes, thersandros)
% 1.73/1.08  |
% 1.73/1.08  | Instantiating formula (1) with polyneikes, oedipus and discharging atoms patricide(oedipus), parent_of(oedipus, polyneikes), parent_of(iokaste, oedipus), yields:
% 1.73/1.08  | (8) patricide(polyneikes)
% 1.73/1.09  |
% 1.73/1.09  | Instantiating formula (1) with thersandros, polyneikes and discharging atoms patricide(polyneikes), parent_of(polyneikes, thersandros), parent_of(iokaste, polyneikes),  ~ patricide(thersandros), yields:
% 1.73/1.09  | (9) $false
% 1.73/1.09  |
% 1.73/1.09  |-The branch is then unsatisfiable
% 1.73/1.09  % SZS output end Proof for theBenchmark
% 1.73/1.09  
% 1.73/1.09  511ms
%------------------------------------------------------------------------------