TSTP Solution File: SYN926+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN926+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n003.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 05:05:54 EDT 2022
% Result : Theorem 1.43s 0.99s
% Output : Proof 1.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN926+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n003.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 23:54:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.58 ____ _
% 0.61/0.58 ___ / __ \_____(_)___ ________ __________
% 0.61/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.58
% 0.61/0.58 A Theorem Prover for First-Order Logic
% 0.61/0.58 (ePrincess v.1.0)
% 0.61/0.58
% 0.61/0.58 (c) Philipp Rümmer, 2009-2015
% 0.61/0.58 (c) Peter Backeman, 2014-2015
% 0.61/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.58 Bug reports to peter@backeman.se
% 0.61/0.58
% 0.61/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.58
% 0.61/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.88 Prover 0: Preprocessing ...
% 1.43/0.93 Prover 0: Constructing countermodel ...
% 1.43/0.99 Prover 0: proved (352ms)
% 1.43/0.99
% 1.43/0.99 No countermodel exists, formula is valid
% 1.43/0.99 % SZS status Theorem for theBenchmark
% 1.43/0.99
% 1.43/0.99 Generating proof ... found it (size 7)
% 1.89/1.12
% 1.89/1.12 % SZS output start Proof for theBenchmark
% 1.89/1.12 Assumed formulas after preprocessing and simplification:
% 1.89/1.12 | (0) ? [v0] : (q(v0) & p(v0) & ( ! [v1] : ~ q(v1) | ! [v1] : ~ p(v1)))
% 1.89/1.12 | Instantiating (0) with all_0_0_0 yields:
% 1.89/1.12 | (1) q(all_0_0_0) & p(all_0_0_0) & ( ! [v0] : ~ q(v0) | ! [v0] : ~ p(v0))
% 1.89/1.13 |
% 1.89/1.13 | Applying alpha-rule on (1) yields:
% 1.89/1.13 | (2) q(all_0_0_0)
% 1.89/1.13 | (3) p(all_0_0_0)
% 1.89/1.13 | (4) ! [v0] : ~ q(v0) | ! [v0] : ~ p(v0)
% 1.89/1.13 |
% 1.89/1.13 +-Applying beta-rule and splitting (4), into two cases.
% 1.89/1.13 |-Branch one:
% 1.89/1.13 | (5) ! [v0] : ~ q(v0)
% 1.89/1.13 |
% 1.89/1.13 | Instantiating formula (5) with all_0_0_0 and discharging atoms q(all_0_0_0), yields:
% 1.89/1.13 | (6) $false
% 1.89/1.13 |
% 1.89/1.13 |-The branch is then unsatisfiable
% 1.89/1.13 |-Branch two:
% 1.89/1.13 | (7) ! [v0] : ~ p(v0)
% 1.89/1.13 |
% 1.89/1.13 | Instantiating formula (7) with all_0_0_0 and discharging atoms p(all_0_0_0), yields:
% 1.89/1.13 | (6) $false
% 1.89/1.13 |
% 1.89/1.13 |-The branch is then unsatisfiable
% 1.89/1.13 % SZS output end Proof for theBenchmark
% 1.89/1.13
% 1.89/1.13 540ms
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