TSTP Solution File: SWB016+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 18:59:39 EDT 2022
% Result : Theorem 2.39s 1.19s
% Output : Proof 3.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 03:35:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.49/0.89 Prover 0: Preprocessing ...
% 1.80/1.02 Prover 0: Constructing countermodel ...
% 2.39/1.19 Prover 0: proved (551ms)
% 2.39/1.19
% 2.39/1.19 No countermodel exists, formula is valid
% 2.39/1.19 % SZS status Theorem for theBenchmark
% 2.39/1.19
% 2.39/1.19 Generating proof ... found it (size 14)
% 3.16/1.41
% 3.16/1.41 % SZS output start Proof for theBenchmark
% 3.16/1.41 Assumed formulas after preprocessing and simplification:
% 3.16/1.41 | (0) ip(uri_owl_equivalentClass) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_equivalentClass, v0, v1) | ? [v2] : (( ~ icext(v1, v2) | ~ icext(v0, v2)) & (icext(v1, v2) | icext(v0, v2)))) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2))) & ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3))) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) & ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property)) & ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0))
% 3.16/1.42 | Applying alpha-rule on (0) yields:
% 3.16/1.42 | (1) ! [v0] : ( ~ iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0))
% 3.16/1.42 | (2) ! [v0] : ( ~ ip(v0) | iext(uri_rdf_type, v0, uri_rdf_Property))
% 3.16/1.42 | (3) ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf)
% 3.16/1.42 | (4) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v1))
% 3.16/1.42 | (5) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v0))
% 3.16/1.42 | (6) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_rdfs_subPropertyOf, v0, v1) | ? [v2] : ? [v3] : (iext(v0, v2, v3) & ~ iext(v1, v2, v3)))
% 3.16/1.42 | (7) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0))
% 3.16/1.43 | (8) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1))
% 3.16/1.43 | (9) iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)
% 3.16/1.43 | (10) ip(uri_owl_equivalentClass)
% 3.16/1.43 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2))
% 3.16/1.43 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3))
% 3.16/1.43 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2))
% 3.16/1.43 | (14) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_owl_equivalentClass, v0, v1) | ? [v2] : (( ~ icext(v1, v2) | ~ icext(v0, v2)) & (icext(v1, v2) | icext(v0, v2))))
% 3.16/1.43 | (15) iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)
% 3.16/1.43 | (16) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2)))
% 3.16/1.43 | (17) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0))
% 3.16/1.43 | (18) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 3.16/1.43 | (19) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1))
% 3.16/1.43 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_rdfs_domain, v0, v1) | icext(v1, v2))
% 3.16/1.43 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2))
% 3.16/1.43 | (22) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v1))
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (20) with uri_rdfs_Class, uri_rdfs_subClassOf, uri_rdf_Property, uri_rdfs_domain and discharging atoms iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), yields:
% 3.16/1.43 | (23) icext(uri_rdf_Property, uri_rdfs_subClassOf)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (19) with uri_rdf_Property, uri_rdfs_subClassOf and discharging atoms icext(uri_rdf_Property, uri_rdfs_subClassOf), yields:
% 3.16/1.43 | (24) iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (1) with uri_rdfs_subClassOf and discharging atoms iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), yields:
% 3.16/1.43 | (25) ip(uri_rdfs_subClassOf)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (6) with uri_rdfs_subClassOf, uri_owl_equivalentClass and discharging atoms ip(uri_owl_equivalentClass), ip(uri_rdfs_subClassOf), ~ iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf), yields:
% 3.16/1.43 | (26) ? [v0] : ? [v1] : (iext(uri_owl_equivalentClass, v0, v1) & ~ iext(uri_rdfs_subClassOf, v0, v1))
% 3.16/1.43 |
% 3.16/1.43 | Instantiating (26) with all_26_0_0, all_26_1_1 yields:
% 3.16/1.43 | (27) iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0) & ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0)
% 3.16/1.43 |
% 3.16/1.43 | Applying alpha-rule on (27) yields:
% 3.16/1.43 | (28) iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0)
% 3.16/1.43 | (29) ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (22) with all_26_0_0, all_26_1_1 and discharging atoms iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), yields:
% 3.16/1.43 | (30) ic(all_26_0_0)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (5) with all_26_0_0, all_26_1_1 and discharging atoms iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), yields:
% 3.16/1.43 | (31) ic(all_26_1_1)
% 3.16/1.43 |
% 3.16/1.43 | Instantiating formula (16) with all_26_0_0, all_26_1_1 and discharging atoms ic(all_26_0_0), ic(all_26_1_1), ~ iext(uri_rdfs_subClassOf, all_26_1_1, all_26_0_0), yields:
% 3.16/1.44 | (32) ? [v0] : (icext(all_26_1_1, v0) & ~ icext(all_26_0_0, v0))
% 3.16/1.44 |
% 3.16/1.44 | Instantiating (32) with all_40_0_2 yields:
% 3.16/1.44 | (33) icext(all_26_1_1, all_40_0_2) & ~ icext(all_26_0_0, all_40_0_2)
% 3.16/1.44 |
% 3.16/1.44 | Applying alpha-rule on (33) yields:
% 3.16/1.44 | (34) icext(all_26_1_1, all_40_0_2)
% 3.16/1.44 | (35) ~ icext(all_26_0_0, all_40_0_2)
% 3.16/1.44 |
% 3.16/1.44 | Instantiating formula (21) with all_40_0_2, all_26_0_0, all_26_1_1 and discharging atoms icext(all_26_1_1, all_40_0_2), iext(uri_owl_equivalentClass, all_26_1_1, all_26_0_0), ~ icext(all_26_0_0, all_40_0_2), yields:
% 3.16/1.44 | (36) $false
% 3.16/1.44 |
% 3.16/1.44 |-The branch is then unsatisfiable
% 3.16/1.44 % SZS output end Proof for theBenchmark
% 3.16/1.44
% 3.16/1.44 836ms
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