TSTP Solution File: SYN402+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN402+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n009.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 05:02:09 EDT 2022
% Result : Theorem 1.38s 0.98s
% Output : Proof 1.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN402+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n009.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 08:41:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.59 ____ _
% 0.56/0.59 ___ / __ \_____(_)___ ________ __________
% 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.59
% 0.56/0.59 A Theorem Prover for First-Order Logic
% 0.56/0.59 (ePrincess v.1.0)
% 0.56/0.59
% 0.56/0.59 (c) Philipp Rümmer, 2009-2015
% 0.56/0.59 (c) Peter Backeman, 2014-2015
% 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.59 Bug reports to peter@backeman.se
% 0.56/0.59
% 0.56/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.59
% 0.56/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.88 Prover 0: Preprocessing ...
% 1.24/0.92 Prover 0: Constructing countermodel ...
% 1.38/0.98 Prover 0: proved (335ms)
% 1.38/0.98
% 1.38/0.98 No countermodel exists, formula is valid
% 1.38/0.98 % SZS status Theorem for theBenchmark
% 1.38/0.98
% 1.38/0.98 Generating proof ... found it (size 4)
% 1.59/1.05
% 1.59/1.05 % SZS output start Proof for theBenchmark
% 1.59/1.05 Assumed formulas after preprocessing and simplification:
% 1.59/1.06 | (0) ? [v0] : (f(v0) & ! [v1] : ~ f(v1))
% 1.59/1.06 | Instantiating (0) with all_0_0_0 yields:
% 1.59/1.06 | (1) f(all_0_0_0) & ! [v0] : ~ f(v0)
% 1.59/1.06 |
% 1.59/1.06 | Applying alpha-rule on (1) yields:
% 1.59/1.06 | (2) f(all_0_0_0)
% 1.59/1.06 | (3) ! [v0] : ~ f(v0)
% 1.59/1.06 |
% 1.59/1.06 | Instantiating formula (3) with all_0_0_0 and discharging atoms f(all_0_0_0), yields:
% 1.59/1.07 | (4) $false
% 1.59/1.07 |
% 1.59/1.07 |-The branch is then unsatisfiable
% 1.59/1.07 % SZS output end Proof for theBenchmark
% 1.59/1.07
% 1.59/1.07 466ms
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