TSTP Solution File: SYN924+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN924+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 05:05:53 EDT 2022
% Result : Theorem 1.52s 1.04s
% Output : Proof 2.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN924+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 14:25:53 EDT 2022
% 0.22/0.36 % CPUTime :
% 0.54/0.62 ____ _
% 0.54/0.62 ___ / __ \_____(_)___ ________ __________
% 0.54/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.62
% 0.54/0.62 A Theorem Prover for First-Order Logic
% 0.54/0.62 (ePrincess v.1.0)
% 0.54/0.62
% 0.54/0.62 (c) Philipp Rümmer, 2009-2015
% 0.54/0.62 (c) Peter Backeman, 2014-2015
% 0.54/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.54/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.54/0.62 Bug reports to peter@backeman.se
% 0.54/0.62
% 0.54/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.54/0.62
% 0.54/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.91 Prover 0: Preprocessing ...
% 1.43/0.97 Prover 0: Constructing countermodel ...
% 1.52/1.04 Prover 0: proved (365ms)
% 1.52/1.04
% 1.52/1.04 No countermodel exists, formula is valid
% 1.52/1.04 % SZS status Theorem for theBenchmark
% 1.52/1.04
% 1.52/1.04 Generating proof ... found it (size 7)
% 1.73/1.14
% 1.73/1.14 % SZS output start Proof for theBenchmark
% 1.73/1.14 Assumed formulas after preprocessing and simplification:
% 1.73/1.14 | (0) ? [v0] : ( ! [v1] : ~ q(v1) & ! [v1] : ~ p(v1) & (q(v0) | p(v0)))
% 1.73/1.15 | Instantiating (0) with all_0_0_0 yields:
% 1.73/1.15 | (1) ! [v0] : ~ q(v0) & ! [v0] : ~ p(v0) & (q(all_0_0_0) | p(all_0_0_0))
% 1.73/1.15 |
% 1.73/1.15 | Applying alpha-rule on (1) yields:
% 1.73/1.15 | (2) ! [v0] : ~ q(v0)
% 2.00/1.15 | (3) ! [v0] : ~ p(v0)
% 2.00/1.15 | (4) q(all_0_0_0) | p(all_0_0_0)
% 2.00/1.16 |
% 2.00/1.16 +-Applying beta-rule and splitting (4), into two cases.
% 2.00/1.16 |-Branch one:
% 2.00/1.16 | (5) q(all_0_0_0)
% 2.00/1.16 |
% 2.00/1.16 | Instantiating formula (2) with all_0_0_0 and discharging atoms q(all_0_0_0), yields:
% 2.00/1.16 | (6) $false
% 2.00/1.16 |
% 2.00/1.16 |-The branch is then unsatisfiable
% 2.00/1.16 |-Branch two:
% 2.00/1.16 | (7) ~ q(all_0_0_0)
% 2.00/1.16 | (8) p(all_0_0_0)
% 2.00/1.16 |
% 2.00/1.16 | Instantiating formula (3) with all_0_0_0 and discharging atoms p(all_0_0_0), yields:
% 2.00/1.16 | (6) $false
% 2.00/1.16 |
% 2.00/1.16 |-The branch is then unsatisfiable
% 2.00/1.16 % SZS output end Proof for theBenchmark
% 2.00/1.16
% 2.00/1.16 530ms
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