TSTP Solution File: SWB003+2 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SWB003+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n020.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 : Tue Jul 19 18:59:33 EDT 2022
% Result : Theorem 1.36s 0.99s
% Output : Proof 1.85s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWB003+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n020.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 : Wed Jun 1 09:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.06/0.86 Prover 0: Preprocessing ...
% 1.33/0.92 Prover 0: Constructing countermodel ...
% 1.36/0.98 Prover 0: proved (352ms)
% 1.36/0.99
% 1.36/0.99 No countermodel exists, formula is valid
% 1.36/0.99 % SZS status Theorem for theBenchmark
% 1.36/0.99
% 1.36/0.99 Generating proof ... found it (size 4)
% 1.64/1.08
% 1.64/1.08 % SZS output start Proof for theBenchmark
% 1.64/1.08 Assumed formulas after preprocessing and simplification:
% 1.64/1.08 | (0) ? [v0] : (literal_plain(dat_str_foo) = v0 & iext(uri_ex_p, uri_ex_s, v0) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (literal_plain(v3) = v2) | ~ (literal_plain(v3) = v1)) & ! [v1] : ~ iext(uri_ex_p, uri_ex_s, v1))
% 1.85/1.13 | Instantiating (0) with all_0_0_0 yields:
% 1.85/1.13 | (1) literal_plain(dat_str_foo) = all_0_0_0 & iext(uri_ex_p, uri_ex_s, all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) & ! [v0] : ~ iext(uri_ex_p, uri_ex_s, v0)
% 1.85/1.13 |
% 1.85/1.13 | Applying alpha-rule on (1) yields:
% 1.85/1.13 | (2) literal_plain(dat_str_foo) = all_0_0_0
% 1.85/1.13 | (3) iext(uri_ex_p, uri_ex_s, all_0_0_0)
% 1.85/1.13 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0))
% 1.85/1.13 | (5) ! [v0] : ~ iext(uri_ex_p, uri_ex_s, v0)
% 1.85/1.13 |
% 1.85/1.13 | Instantiating formula (5) with all_0_0_0 and discharging atoms iext(uri_ex_p, uri_ex_s, all_0_0_0), yields:
% 1.85/1.13 | (6) $false
% 1.85/1.13 |
% 1.85/1.13 |-The branch is then unsatisfiable
% 1.85/1.13 % SZS output end Proof for theBenchmark
% 1.85/1.13
% 1.85/1.13 539ms
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