TSTP Solution File: SWB007+2 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 1.55s 1.02s
% Output : Proof 2.12s
% 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 : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.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 02:22:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.61 ____ _
% 0.46/0.61 ___ / __ \_____(_)___ ________ __________
% 0.46/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.46/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.46/0.61
% 0.46/0.61 A Theorem Prover for First-Order Logic
% 0.46/0.62 (ePrincess v.1.0)
% 0.46/0.62
% 0.46/0.62 (c) Philipp Rümmer, 2009-2015
% 0.46/0.62 (c) Peter Backeman, 2014-2015
% 0.46/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.46/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.46/0.62 Bug reports to peter@backeman.se
% 0.46/0.62
% 0.46/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.46/0.62
% 0.46/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.89 Prover 0: Preprocessing ...
% 1.43/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.43/0.95 Prover 0: Constructing countermodel ...
% 1.55/1.01 Prover 0: proved (340ms)
% 1.55/1.02
% 1.55/1.02 No countermodel exists, formula is valid
% 1.55/1.02 % SZS status Theorem for theBenchmark
% 1.55/1.02
% 1.55/1.02 Generating proof ... Warning: ignoring some quantifiers
% 2.04/1.13 found it (size 13)
% 2.04/1.13
% 2.04/1.13 % SZS output start Proof for theBenchmark
% 2.04/1.13 Assumed formulas after preprocessing and simplification:
% 2.04/1.13 | (0) iext(uri_rdfs_range, uri_ex_p, uri_ex_c1) & iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c1) & iext(uri_rdf_type, uri_ex_w, uri_ex_c1) & iext(uri_owl_sameAs, uri_ex_c1, uri_ex_c2) & ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1)) & ? [v0] : iext(uri_owl_sameAs, v0, v0) & ( ~ iext(uri_rdfs_range, uri_ex_p, uri_ex_c2) | ~ iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2) | ~ iext(uri_rdf_type, uri_ex_w, uri_ex_c2))
% 2.04/1.14 | Applying alpha-rule on (0) yields:
% 2.04/1.14 | (1) iext(uri_owl_sameAs, uri_ex_c1, uri_ex_c2)
% 2.04/1.14 | (2) ~ iext(uri_rdfs_range, uri_ex_p, uri_ex_c2) | ~ iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2) | ~ iext(uri_rdf_type, uri_ex_w, uri_ex_c2)
% 2.04/1.14 | (3) ? [v0] : iext(uri_owl_sameAs, v0, v0)
% 2.04/1.14 | (4) iext(uri_rdfs_range, uri_ex_p, uri_ex_c1)
% 2.04/1.14 | (5) ! [v0] : ! [v1] : (v1 = v0 | ~ iext(uri_owl_sameAs, v0, v1))
% 2.04/1.14 | (6) iext(uri_rdf_type, uri_ex_w, uri_ex_c1)
% 2.04/1.14 | (7) iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c1)
% 2.04/1.14 |
% 2.04/1.15 | Instantiating formula (5) with uri_ex_c2, uri_ex_c1 and discharging atoms iext(uri_owl_sameAs, uri_ex_c1, uri_ex_c2), yields:
% 2.12/1.15 | (8) uri_ex_c1 = uri_ex_c2
% 2.12/1.15 |
% 2.12/1.15 | From (8) and (4) follows:
% 2.12/1.15 | (9) iext(uri_rdfs_range, uri_ex_p, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 | From (8) and (7) follows:
% 2.12/1.15 | (10) iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 | From (8) and (6) follows:
% 2.12/1.15 | (11) iext(uri_rdf_type, uri_ex_w, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 +-Applying beta-rule and splitting (2), into two cases.
% 2.12/1.15 |-Branch one:
% 2.12/1.15 | (12) ~ iext(uri_rdfs_range, uri_ex_p, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 | Using (9) and (12) yields:
% 2.12/1.15 | (13) $false
% 2.12/1.15 |
% 2.12/1.15 |-The branch is then unsatisfiable
% 2.12/1.15 |-Branch two:
% 2.12/1.15 | (9) iext(uri_rdfs_range, uri_ex_p, uri_ex_c2)
% 2.12/1.15 | (15) ~ iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2) | ~ iext(uri_rdf_type, uri_ex_w, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 +-Applying beta-rule and splitting (15), into two cases.
% 2.12/1.15 |-Branch one:
% 2.12/1.15 | (16) ~ iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 | Using (10) and (16) yields:
% 2.12/1.15 | (13) $false
% 2.12/1.15 |
% 2.12/1.15 |-The branch is then unsatisfiable
% 2.12/1.15 |-Branch two:
% 2.12/1.15 | (10) iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2)
% 2.12/1.15 | (19) ~ iext(uri_rdf_type, uri_ex_w, uri_ex_c2)
% 2.12/1.15 |
% 2.12/1.15 | Using (11) and (19) yields:
% 2.12/1.15 | (13) $false
% 2.12/1.15 |
% 2.12/1.15 |-The branch is then unsatisfiable
% 2.12/1.15 % SZS output end Proof for theBenchmark
% 2.12/1.15
% 2.12/1.15 524ms
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