TSTP Solution File: SYN395+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SYN395+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n023.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 05:02:06 EDT 2022

% Result   : Theorem 1.43s 0.95s
% Output   : Proof 1.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN395+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n023.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 : Mon Jul 11 13:43:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/0.56          ____       _                          
% 0.55/0.56    ___  / __ \_____(_)___  ________  __________
% 0.55/0.56   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.56  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.55/0.56  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.55/0.56  
% 0.55/0.56  A Theorem Prover for First-Order Logic
% 0.55/0.56  (ePrincess v.1.0)
% 0.55/0.56  
% 0.55/0.56  (c) Philipp Rümmer, 2009-2015
% 0.55/0.56  (c) Peter Backeman, 2014-2015
% 0.55/0.56  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.56  Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.56  Bug reports to peter@backeman.se
% 0.55/0.56  
% 0.55/0.56  For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.56  
% 0.55/0.56  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.60/0.61  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.05/0.84  Prover 0: Preprocessing ...
% 1.28/0.89  Prover 0: Constructing countermodel ...
% 1.38/0.95  Prover 0: proved (338ms)
% 1.43/0.95  
% 1.43/0.95  No countermodel exists, formula is valid
% 1.43/0.95  % SZS status Theorem for theBenchmark
% 1.43/0.95  
% 1.43/0.95  Generating proof ... found it (size 5)
% 1.72/1.04  
% 1.72/1.04  % SZS output start Proof for theBenchmark
% 1.72/1.04  Assumed formulas after preprocessing and simplification: 
% 1.72/1.04  | (0)  ? [v0] : (f(v0) &  ! [v1] :  ~ g(v1) &  ! [v1] : ( ~ f(v1) | g(v1)))
% 1.72/1.05  | Instantiating (0) with all_0_0_0 yields:
% 1.72/1.05  | (1) f(all_0_0_0) &  ! [v0] :  ~ g(v0) &  ! [v0] : ( ~ f(v0) | g(v0))
% 1.72/1.05  |
% 1.72/1.05  | Applying alpha-rule on (1) yields:
% 1.72/1.05  | (2) f(all_0_0_0)
% 1.72/1.05  | (3)  ! [v0] :  ~ g(v0)
% 1.72/1.05  | (4)  ! [v0] : ( ~ f(v0) | g(v0))
% 1.72/1.05  |
% 1.72/1.05  | Instantiating formula (4) with all_0_0_0 and discharging atoms f(all_0_0_0), yields:
% 1.72/1.05  | (5) g(all_0_0_0)
% 1.72/1.05  |
% 1.72/1.05  | Instantiating formula (3) with all_0_0_0 and discharging atoms g(all_0_0_0), yields:
% 1.72/1.05  | (6) $false
% 1.72/1.05  |
% 1.72/1.05  |-The branch is then unsatisfiable
% 1.72/1.05  % SZS output end Proof for theBenchmark
% 1.72/1.05  
% 1.72/1.05  481ms
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