TSTP Solution File: SYN391+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 05:02:03 EDT 2022
% Result : Theorem 1.31s 0.91s
% Output : Proof 1.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 20:49:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.57 ____ _
% 0.19/0.57 ___ / __ \_____(_)___ ________ __________
% 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.57
% 0.19/0.57 A Theorem Prover for First-Order Logic
% 0.19/0.57 (ePrincess v.1.0)
% 0.19/0.57
% 0.19/0.57 (c) Philipp Rümmer, 2009-2015
% 0.19/0.57 (c) Peter Backeman, 2014-2015
% 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57 Bug reports to peter@backeman.se
% 0.19/0.57
% 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.57
% 0.19/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.07/0.84 Prover 0: Preprocessing ...
% 1.26/0.87 Prover 0: Constructing countermodel ...
% 1.31/0.91 Prover 0: proved (291ms)
% 1.31/0.91
% 1.31/0.91 No countermodel exists, formula is valid
% 1.31/0.91 % SZS status Theorem for theBenchmark
% 1.31/0.91
% 1.31/0.91 Generating proof ... found it (size 15)
% 1.42/0.99
% 1.42/0.99 % SZS output start Proof for theBenchmark
% 1.42/0.99 Assumed formulas after preprocessing and simplification:
% 1.42/0.99 | (0) ( ~ p2 | ~ p1) & ( ~ p2 | p1) & ( ~ p1 | p2) & (p2 | p1)
% 1.42/0.99 | Applying alpha-rule on (0) yields:
% 1.42/0.99 | (1) ~ p2 | ~ p1
% 1.42/0.99 | (2) ~ p2 | p1
% 1.42/0.99 | (3) ~ p1 | p2
% 1.42/0.99 | (4) p2 | p1
% 1.42/1.00 |
% 1.42/1.00 +-Applying beta-rule and splitting (4), into two cases.
% 1.42/1.00 |-Branch one:
% 1.42/1.00 | (5) p2
% 1.42/1.00 |
% 1.42/1.00 +-Applying beta-rule and splitting (2), into two cases.
% 1.42/1.00 |-Branch one:
% 1.42/1.00 | (6) ~ p2
% 1.42/1.00 |
% 1.42/1.00 | Using (5) and (6) yields:
% 1.42/1.00 | (7) $false
% 1.42/1.00 |
% 1.42/1.00 |-The branch is then unsatisfiable
% 1.42/1.00 |-Branch two:
% 1.42/1.00 | (5) p2
% 1.42/1.00 | (9) p1
% 1.42/1.00 |
% 1.42/1.00 +-Applying beta-rule and splitting (1), into two cases.
% 1.42/1.00 |-Branch one:
% 1.42/1.00 | (6) ~ p2
% 1.42/1.00 |
% 1.42/1.00 | Using (5) and (6) yields:
% 1.42/1.00 | (7) $false
% 1.42/1.00 |
% 1.42/1.00 |-The branch is then unsatisfiable
% 1.42/1.00 |-Branch two:
% 1.42/1.00 | (5) p2
% 1.42/1.00 | (13) ~ p1
% 1.42/1.00 |
% 1.42/1.00 | Using (9) and (13) yields:
% 1.42/1.00 | (7) $false
% 1.42/1.00 |
% 1.42/1.00 |-The branch is then unsatisfiable
% 1.42/1.00 |-Branch two:
% 1.42/1.00 | (6) ~ p2
% 1.42/1.00 | (9) p1
% 1.42/1.00 |
% 1.42/1.00 +-Applying beta-rule and splitting (3), into two cases.
% 1.42/1.00 |-Branch one:
% 1.42/1.00 | (13) ~ p1
% 1.42/1.00 |
% 1.42/1.00 | Using (9) and (13) yields:
% 1.42/1.00 | (7) $false
% 1.42/1.00 |
% 1.42/1.00 |-The branch is then unsatisfiable
% 1.42/1.00 |-Branch two:
% 1.42/1.00 | (9) p1
% 1.42/1.00 | (5) p2
% 1.42/1.00 |
% 1.42/1.00 | Using (5) and (6) yields:
% 1.42/1.00 | (7) $false
% 1.42/1.00 |
% 1.42/1.00 |-The branch is then unsatisfiable
% 1.42/1.00 % SZS output end Proof for theBenchmark
% 1.42/1.00
% 1.42/1.00 425ms
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