TSTP Solution File: PUZ128+2 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 : Mon Jul 18 18:08:58 EDT 2022
% Result : Theorem 1.82s 1.13s
% Output : Proof 2.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ128+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat May 28 21:12:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.63/0.62 ____ _
% 0.63/0.62 ___ / __ \_____(_)___ ________ __________
% 0.63/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.63/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.63/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.63/0.62
% 0.63/0.62 A Theorem Prover for First-Order Logic
% 0.63/0.62 (ePrincess v.1.0)
% 0.63/0.62
% 0.63/0.62 (c) Philipp Rümmer, 2009-2015
% 0.63/0.62 (c) Peter Backeman, 2014-2015
% 0.63/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.63/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.63/0.62 Bug reports to peter@backeman.se
% 0.63/0.62
% 0.63/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.63/0.62
% 0.63/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.67/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.42/0.96 Prover 0: Preprocessing ...
% 1.67/1.06 Prover 0: Constructing countermodel ...
% 1.82/1.12 Prover 0: proved (429ms)
% 1.82/1.13
% 1.82/1.13 No countermodel exists, formula is valid
% 1.82/1.13 % SZS status Theorem for theBenchmark
% 1.82/1.13
% 1.82/1.13 Generating proof ... found it (size 4)
% 2.39/1.26
% 2.39/1.26 % SZS output start Proof for theBenchmark
% 2.39/1.26 Assumed formulas after preprocessing and simplification:
% 2.39/1.26 | (0) patricide(Oedipus) & relation(Polyneikes, of, Thersandros) & relation(Iokaste, of, Polyneikes) & relation(Iokaste, of, Oedipus) & relation(Oedipus, of, Polyneikes) & parent(Polyneikes) & parent(Iokaste) & parent(Oedipus) & ~ patricide(Thersandros) & ! [v0] : ! [v1] : ( ~ patricide(v0) | ~ relation(v0, of, v1) | ~ relation(Iokaste, of, v0) | ~ parent(v0) | patricide(v1))
% 2.39/1.27 | Applying alpha-rule on (0) yields:
% 2.39/1.27 | (1) ~ patricide(Thersandros)
% 2.39/1.27 | (2) relation(Iokaste, of, Oedipus)
% 2.39/1.27 | (3) patricide(Oedipus)
% 2.39/1.27 | (4) parent(Polyneikes)
% 2.39/1.27 | (5) parent(Oedipus)
% 2.39/1.27 | (6) ! [v0] : ! [v1] : ( ~ patricide(v0) | ~ relation(v0, of, v1) | ~ relation(Iokaste, of, v0) | ~ parent(v0) | patricide(v1))
% 2.39/1.27 | (7) relation(Polyneikes, of, Thersandros)
% 2.39/1.27 | (8) parent(Iokaste)
% 2.39/1.27 | (9) relation(Oedipus, of, Polyneikes)
% 2.39/1.27 | (10) relation(Iokaste, of, Polyneikes)
% 2.39/1.27 |
% 2.39/1.27 | Instantiating formula (6) with Polyneikes, Oedipus and discharging atoms patricide(Oedipus), relation(Iokaste, of, Oedipus), relation(Oedipus, of, Polyneikes), parent(Oedipus), yields:
% 2.39/1.27 | (11) patricide(Polyneikes)
% 2.39/1.27 |
% 2.39/1.27 | Instantiating formula (6) with Thersandros, Polyneikes and discharging atoms patricide(Polyneikes), relation(Polyneikes, of, Thersandros), relation(Iokaste, of, Polyneikes), parent(Polyneikes), ~ patricide(Thersandros), yields:
% 2.39/1.28 | (12) $false
% 2.39/1.28 |
% 2.39/1.28 |-The branch is then unsatisfiable
% 2.39/1.28 % SZS output end Proof for theBenchmark
% 2.39/1.28
% 2.39/1.28 642ms
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