TSTP Solution File: SYN942+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN942+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 05:06:00 EDT 2022
% Result : Theorem 1.50s 1.01s
% Output : Proof 1.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN942+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 12 00:21:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.52/0.61 ____ _
% 0.52/0.61 ___ / __ \_____(_)___ ________ __________
% 0.52/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.61
% 0.52/0.61 A Theorem Prover for First-Order Logic
% 0.52/0.61 (ePrincess v.1.0)
% 0.52/0.61
% 0.52/0.61 (c) Philipp Rümmer, 2009-2015
% 0.52/0.61 (c) Peter Backeman, 2014-2015
% 0.52/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.61 Bug reports to peter@backeman.se
% 0.52/0.61
% 0.52/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.61
% 0.52/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.31/0.89 Prover 0: Preprocessing ...
% 1.44/0.95 Prover 0: Constructing countermodel ...
% 1.50/1.01 Prover 0: proved (350ms)
% 1.50/1.01
% 1.50/1.01 No countermodel exists, formula is valid
% 1.50/1.01 % SZS status Theorem for theBenchmark
% 1.50/1.01
% 1.50/1.01 Generating proof ... found it (size 5)
% 1.86/1.11
% 1.86/1.11 % SZS output start Proof for theBenchmark
% 1.86/1.11 Assumed formulas after preprocessing and simplification:
% 1.86/1.11 | (0) ? [v0] : (a(v0) & ~ b(v0) & ! [v1] : ( ~ c(v1) | ~ a(v1)) & ! [v1] : ( ~ a(v1) | c(v1) | b(v1)))
% 1.86/1.12 | Instantiating (0) with all_0_0_0 yields:
% 1.86/1.12 | (1) a(all_0_0_0) & ~ b(all_0_0_0) & ! [v0] : ( ~ c(v0) | ~ a(v0)) & ! [v0] : ( ~ a(v0) | c(v0) | b(v0))
% 1.86/1.12 |
% 1.86/1.12 | Applying alpha-rule on (1) yields:
% 1.86/1.12 | (2) a(all_0_0_0)
% 1.86/1.12 | (3) ~ b(all_0_0_0)
% 1.86/1.12 | (4) ! [v0] : ( ~ c(v0) | ~ a(v0))
% 1.86/1.12 | (5) ! [v0] : ( ~ a(v0) | c(v0) | b(v0))
% 1.86/1.12 |
% 1.86/1.12 | Instantiating formula (5) with all_0_0_0 and discharging atoms a(all_0_0_0), ~ b(all_0_0_0), yields:
% 1.86/1.12 | (6) c(all_0_0_0)
% 1.86/1.12 |
% 1.86/1.12 | Instantiating formula (4) with all_0_0_0 and discharging atoms c(all_0_0_0), a(all_0_0_0), yields:
% 1.86/1.12 | (7) $false
% 1.86/1.12 |
% 1.86/1.13 |-The branch is then unsatisfiable
% 1.86/1.13 % SZS output end Proof for theBenchmark
% 1.86/1.13
% 1.86/1.13 502ms
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