TSTP Solution File: LCL648+1.001 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : LCL648+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n004.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 : Sun Jul 17 09:37:41 EDT 2022
% Result : Theorem 1.51s 1.02s
% Output : Proof 1.81s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL648+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 23:46:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.59 ____ _
% 0.60/0.59 ___ / __ \_____(_)___ ________ __________
% 0.60/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.59
% 0.60/0.59 A Theorem Prover for First-Order Logic
% 0.60/0.59 (ePrincess v.1.0)
% 0.60/0.59
% 0.60/0.59 (c) Philipp Rümmer, 2009-2015
% 0.60/0.59 (c) Peter Backeman, 2014-2015
% 0.60/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.59 Bug reports to peter@backeman.se
% 0.60/0.59
% 0.60/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.59
% 0.60/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.30/0.91 Prover 0: Preprocessing ...
% 1.35/0.97 Prover 0: Constructing countermodel ...
% 1.51/1.02 Prover 0: proved (353ms)
% 1.51/1.02
% 1.51/1.02 No countermodel exists, formula is valid
% 1.51/1.02 % SZS status Theorem for theBenchmark
% 1.51/1.02
% 1.51/1.02 Generating proof ... found it (size 4)
% 1.81/1.12
% 1.81/1.12 % SZS output start Proof for theBenchmark
% 1.81/1.12 Assumed formulas after preprocessing and simplification:
% 1.81/1.12 | (0) ? [v0] : ? [v1] : (p101(v1) & p201(v1) & r1(v0, v1) & ! [v2] : ( ~ p101(v2) | ~ p201(v2) | ~ r1(v0, v2)))
% 1.81/1.13 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 1.81/1.13 | (1) p101(all_0_0_0) & p201(all_0_0_0) & r1(all_0_1_1, all_0_0_0) & ! [v0] : ( ~ p101(v0) | ~ p201(v0) | ~ r1(all_0_1_1, v0))
% 1.81/1.13 |
% 1.81/1.13 | Applying alpha-rule on (1) yields:
% 1.81/1.13 | (2) p101(all_0_0_0)
% 1.81/1.13 | (3) p201(all_0_0_0)
% 1.81/1.13 | (4) r1(all_0_1_1, all_0_0_0)
% 1.81/1.13 | (5) ! [v0] : ( ~ p101(v0) | ~ p201(v0) | ~ r1(all_0_1_1, v0))
% 1.81/1.14 |
% 1.81/1.14 | Instantiating formula (5) with all_0_0_0 and discharging atoms p101(all_0_0_0), p201(all_0_0_0), r1(all_0_1_1, all_0_0_0), yields:
% 1.81/1.14 | (6) $false
% 1.81/1.14 |
% 1.81/1.14 |-The branch is then unsatisfiable
% 1.81/1.14 % SZS output end Proof for theBenchmark
% 1.81/1.14
% 1.81/1.14 531ms
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