TSTP Solution File: SWB006+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB006+2 : TPTP v8.1.0. Released v5.2.0.
% 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 : Tue Jul 19 18:59:35 EDT 2022
% Result : Theorem 1.75s 1.09s
% Output : Proof 2.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWB006+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n019.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 : Wed Jun 1 06:24:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.51/0.62 ____ _
% 0.51/0.62 ___ / __ \_____(_)___ ________ __________
% 0.51/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.62
% 0.51/0.62 A Theorem Prover for First-Order Logic
% 0.51/0.62 (ePrincess v.1.0)
% 0.51/0.62
% 0.51/0.62 (c) Philipp Rümmer, 2009-2015
% 0.51/0.62 (c) Peter Backeman, 2014-2015
% 0.51/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.62 Bug reports to peter@backeman.se
% 0.51/0.62
% 0.51/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.62
% 0.51/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.78/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.25/0.92 Prover 0: Preprocessing ...
% 1.47/1.00 Prover 0: Warning: ignoring some quantifiers
% 1.47/1.01 Prover 0: Constructing countermodel ...
% 1.75/1.09 Prover 0: proved (415ms)
% 1.75/1.09
% 1.75/1.09 No countermodel exists, formula is valid
% 1.75/1.09 % SZS status Theorem for theBenchmark
% 1.75/1.09
% 1.75/1.09 Generating proof ... Warning: ignoring some quantifiers
% 2.17/1.22 found it (size 12)
% 2.17/1.22
% 2.17/1.22 % SZS output start Proof for theBenchmark
% 2.17/1.22 Assumed formulas after preprocessing and simplification:
% 2.17/1.22 | (0) ? [v0] : ? [v1] : (literal_plain(dat_str_abc) = v0 & iext(uri_owl_sameAs, v1, v0) & iext(uri_owl_sameAs, v1, uri_ex_w) & iext(uri_owl_sameAs, uri_ex_u, v0) & ~ iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) & ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ (literal_plain(v4) = v3) | ~ (literal_plain(v4) = v2)) & ! [v2] : ! [v3] : (v3 = v2 | ~ iext(uri_owl_sameAs, v2, v3)) & ? [v2] : iext(uri_owl_sameAs, v2, v2))
% 2.29/1.26 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 2.29/1.26 | (1) literal_plain(dat_str_abc) = all_0_1_1 & iext(uri_owl_sameAs, all_0_0_0, all_0_1_1) & iext(uri_owl_sameAs, all_0_0_0, uri_ex_w) & iext(uri_owl_sameAs, uri_ex_u, all_0_1_1) & ~ iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1)) & ? [v0] : iext(uri_owl_sameAs, v0, v0)
% 2.29/1.26 |
% 2.29/1.26 | Applying alpha-rule on (1) yields:
% 2.29/1.26 | (2) iext(uri_owl_sameAs, all_0_0_0, uri_ex_w)
% 2.29/1.26 | (3) ? [v0] : iext(uri_owl_sameAs, v0, v0)
% 2.29/1.26 | (4) ~ iext(uri_owl_sameAs, uri_ex_u, uri_ex_w)
% 2.29/1.27 | (5) literal_plain(dat_str_abc) = all_0_1_1
% 2.29/1.27 | (6) iext(uri_owl_sameAs, uri_ex_u, all_0_1_1)
% 2.29/1.27 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1))
% 2.29/1.27 | (8) iext(uri_owl_sameAs, all_0_0_0, all_0_1_1)
% 2.29/1.27 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (literal_plain(v2) = v1) | ~ (literal_plain(v2) = v0))
% 2.29/1.27 |
% 2.29/1.27 | Instantiating formula (7) with all_0_1_1, all_0_0_0 and discharging atoms iext(uri_owl_sameAs, all_0_0_0, all_0_1_1), yields:
% 2.29/1.27 | (10) all_0_0_0 = all_0_1_1
% 2.29/1.27 |
% 2.29/1.27 | Instantiating formula (7) with uri_ex_w, all_0_0_0 and discharging atoms iext(uri_owl_sameAs, all_0_0_0, uri_ex_w), yields:
% 2.29/1.27 | (11) all_0_0_0 = uri_ex_w
% 2.29/1.27 |
% 2.29/1.27 | Instantiating formula (7) with all_0_1_1, uri_ex_u and discharging atoms iext(uri_owl_sameAs, uri_ex_u, all_0_1_1), yields:
% 2.29/1.27 | (12) all_0_1_1 = uri_ex_u
% 2.29/1.27 |
% 2.29/1.27 | Combining equations (11,10) yields a new equation:
% 2.29/1.27 | (13) all_0_1_1 = uri_ex_w
% 2.29/1.27 |
% 2.29/1.27 | Combining equations (13,12) yields a new equation:
% 2.29/1.27 | (14) uri_ex_w = uri_ex_u
% 2.29/1.27 |
% 2.29/1.27 | Simplifying 14 yields:
% 2.29/1.27 | (15) uri_ex_w = uri_ex_u
% 2.29/1.27 |
% 2.29/1.27 | From (12) and (6) follows:
% 2.29/1.27 | (16) iext(uri_owl_sameAs, uri_ex_u, uri_ex_u)
% 2.29/1.27 |
% 2.29/1.27 | From (15) and (4) follows:
% 2.29/1.27 | (17) ~ iext(uri_owl_sameAs, uri_ex_u, uri_ex_u)
% 2.29/1.27 |
% 2.29/1.27 | Using (16) and (17) yields:
% 2.29/1.27 | (18) $false
% 2.29/1.27 |
% 2.29/1.27 |-The branch is then unsatisfiable
% 2.29/1.27 % SZS output end Proof for theBenchmark
% 2.29/1.28
% 2.29/1.28 643ms
%------------------------------------------------------------------------------