TSTP Solution File: SYN964+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN964+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 05:06:08 EDT 2022
% Result : Theorem 1.36s 0.98s
% Output : Proof 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SYN964+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 06:05:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.54/0.59 ____ _
% 0.54/0.59 ___ / __ \_____(_)___ ________ __________
% 0.54/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.59
% 0.54/0.59 A Theorem Prover for First-Order Logic
% 0.54/0.59 (ePrincess v.1.0)
% 0.54/0.59
% 0.54/0.59 (c) Philipp Rümmer, 2009-2015
% 0.54/0.59 (c) Peter Backeman, 2014-2015
% 0.54/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.59 Bug reports to peter@backeman.se
% 0.54/0.59
% 0.54/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.59
% 0.54/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.19/0.88 Prover 0: Preprocessing ...
% 1.19/0.93 Prover 0: Constructing countermodel ...
% 1.36/0.98 Prover 0: proved (340ms)
% 1.36/0.98
% 1.36/0.98 No countermodel exists, formula is valid
% 1.36/0.98 % SZS status Theorem for theBenchmark
% 1.36/0.98
% 1.36/0.98 Generating proof ... found it (size 4)
% 1.54/1.06
% 1.54/1.06 % SZS output start Proof for theBenchmark
% 1.54/1.06 Assumed formulas after preprocessing and simplification:
% 1.54/1.06 | (0) ? [v0] : (p(v0) & ! [v1] : ~ p(v1))
% 1.54/1.06 | Instantiating (0) with all_0_0_0 yields:
% 1.54/1.06 | (1) p(all_0_0_0) & ! [v0] : ~ p(v0)
% 1.54/1.07 |
% 1.54/1.07 | Applying alpha-rule on (1) yields:
% 1.54/1.07 | (2) p(all_0_0_0)
% 1.54/1.07 | (3) ! [v0] : ~ p(v0)
% 1.54/1.07 |
% 1.54/1.07 | Instantiating formula (3) with all_0_0_0 and discharging atoms p(all_0_0_0), yields:
% 1.54/1.07 | (4) $false
% 1.54/1.07 |
% 1.54/1.07 |-The branch is then unsatisfiable
% 1.54/1.07 % SZS output end Proof for theBenchmark
% 1.54/1.07
% 1.54/1.07 467ms
%------------------------------------------------------------------------------