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ePrincess---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SYN408+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n021.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 : Thu Jul 21 05:02:12 EDT 2022

% Result   : Theorem 1.39s 1.02s
% Output   : Proof 1.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN408+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n021.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 : Tue Jul 12 01:10:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.66/0.63          ____       _                          
% 0.66/0.63    ___  / __ \_____(_)___  ________  __________
% 0.66/0.63   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.63  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.66/0.63  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.66/0.63  
% 0.66/0.63  A Theorem Prover for First-Order Logic
% 0.66/0.63  (ePrincess v.1.0)
% 0.66/0.63  
% 0.66/0.63  (c) Philipp Rümmer, 2009-2015
% 0.66/0.63  (c) Peter Backeman, 2014-2015
% 0.66/0.63  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.63  Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.63  Bug reports to peter@backeman.se
% 0.66/0.63  
% 0.66/0.63  For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.63  
% 0.66/0.64  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.69  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.92  Prover 0: Preprocessing ...
% 1.39/0.97  Prover 0: Constructing countermodel ...
% 1.39/1.02  Prover 0: proved (328ms)
% 1.39/1.02  
% 1.39/1.02  No countermodel exists, formula is valid
% 1.39/1.02  % SZS status Theorem for theBenchmark
% 1.39/1.02  
% 1.39/1.02  Generating proof ... found it (size 4)
% 1.75/1.10  
% 1.75/1.10  % SZS output start Proof for theBenchmark
% 1.75/1.10  Assumed formulas after preprocessing and simplification: 
% 1.75/1.10  | (0)  ? [v0] : (f(v0) &  ~ g(v0) &  ! [v1] :  ~ f(v1))
% 1.75/1.11  | Instantiating (0) with all_0_0_0 yields:
% 1.75/1.11  | (1) f(all_0_0_0) &  ~ g(all_0_0_0) &  ! [v0] :  ~ f(v0)
% 1.75/1.11  |
% 1.75/1.11  | Applying alpha-rule on (1) yields:
% 1.75/1.11  | (2) f(all_0_0_0)
% 1.75/1.11  | (3)  ~ g(all_0_0_0)
% 1.75/1.11  | (4)  ! [v0] :  ~ f(v0)
% 1.75/1.11  |
% 1.75/1.11  | Instantiating formula (4) with all_0_0_0 and discharging atoms f(all_0_0_0), yields:
% 1.75/1.11  | (5) $false
% 1.75/1.11  |
% 1.75/1.11  |-The branch is then unsatisfiable
% 1.75/1.11  % SZS output end Proof for theBenchmark
% 1.75/1.11  
% 1.75/1.11  463ms
%------------------------------------------------------------------------------