TSTP Solution File: SWB028+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB028+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 18:59:44 EDT 2022
% Result : Theorem 2.57s 1.25s
% Output : Proof 3.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % 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 02:23:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.57 ____ _
% 0.49/0.57 ___ / __ \_____(_)___ ________ __________
% 0.49/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.57
% 0.49/0.57 A Theorem Prover for First-Order Logic
% 0.49/0.57 (ePrincess v.1.0)
% 0.49/0.57
% 0.49/0.57 (c) Philipp Rümmer, 2009-2015
% 0.49/0.57 (c) Peter Backeman, 2014-2015
% 0.49/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.57 Bug reports to peter@backeman.se
% 0.49/0.57
% 0.49/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.57
% 0.49/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.49/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.40/0.89 Prover 0: Preprocessing ...
% 1.75/1.04 Prover 0: Constructing countermodel ...
% 2.57/1.25 Prover 0: proved (627ms)
% 2.57/1.25
% 2.57/1.25 No countermodel exists, formula is valid
% 2.57/1.25 % SZS status Theorem for theBenchmark
% 2.57/1.25
% 2.57/1.25 Generating proof ... found it (size 19)
% 3.39/1.50
% 3.39/1.50 % SZS output start Proof for theBenchmark
% 3.39/1.50 Assumed formulas after preprocessing and simplification:
% 3.39/1.51 | (0) ? [v0] : (iext(uri_rdf_type, v0, uri_owl_Restriction) & iext(uri_owl_onProperty, v0, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, v0, uri_owl_FunctionalProperty) & iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, v0) & ic(uri_owl_InverseFunctionalProperty) & ~ iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(v3, v5) | ~ iext(v2, v4, v5) | ~ iext(uri_owl_onProperty, v1, v2) | ~ iext(uri_owl_someValuesFrom, v1, v3) | icext(v1, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ icext(uri_owl_FunctionalProperty, v1) | ~ iext(v1, v2, v4) | ~ iext(v1, v2, v3)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v2 | ~ icext(uri_owl_InverseFunctionalProperty, v1) | ~ iext(v1, v3, v4) | ~ iext(v1, v2, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v1, v4) | ~ iext(uri_owl_onProperty, v1, v2) | ~ iext(uri_owl_someValuesFrom, v1, v3) | ? [v5] : (icext(v3, v5) & iext(v2, v4, v5))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(v2, v4, v3) | ~ iext(uri_owl_inverseOf, v1, v2) | iext(v1, v3, v4)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ iext(v1, v3, v4) | ~ iext(uri_owl_inverseOf, v1, v2) | iext(v2, v4, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v2, v3) | ~ iext(uri_owl_equivalentClass, v1, v2) | icext(v1, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v1, v3) | ~ iext(uri_rdfs_subClassOf, v1, v2) | icext(v2, v3)) & ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v1, v3) | ~ iext(uri_owl_equivalentClass, v1, v2) | icext(v2, v3)) & ! [v1] : ! [v2] : ( ~ ip(v2) | ~ ip(v1) | iext(uri_owl_inverseOf, v1, v2) | ? [v3] : ? [v4] : (( ~ iext(v2, v4, v3) | ~ iext(v1, v3, v4)) & (iext(v2, v4, v3) | iext(v1, v3, v4)))) & ! [v1] : ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) | ic(v2)) & ! [v1] : ! [v2] : ( ~ iext(uri_rdfs_subClassOf, v1, v2) | ic(v1)) & ! [v1] : ! [v2] : ( ~ iext(uri_owl_equivalentClass, v1, v2) | ic(v2)) & ! [v1] : ! [v2] : ( ~ iext(uri_owl_equivalentClass, v1, v2) | ic(v1)) & ! [v1] : ! [v2] : ( ~ iext(uri_owl_inverseOf, v1, v2) | ip(v2)) & ! [v1] : ! [v2] : ( ~ iext(uri_owl_inverseOf, v1, v2) | ip(v1)) & ! [v1] : ! [v2] : ( ~ ic(v2) | ~ ic(v1) | iext(uri_rdfs_subClassOf, v1, v2) | ? [v3] : (icext(v1, v3) & ~ icext(v2, v3))) & ! [v1] : ! [v2] : ( ~ ic(v2) | ~ ic(v1) | iext(uri_owl_equivalentClass, v1, v2) | ? [v3] : (( ~ icext(v2, v3) | ~ icext(v1, v3)) & (icext(v2, v3) | icext(v1, v3)))) & ! [v1] : ( ~ icext(uri_owl_FunctionalProperty, v1) | ip(v1)) & ! [v1] : ( ~ icext(uri_owl_InverseFunctionalProperty, v1) | ip(v1)) & ! [v1] : ( ~ ip(v1) | icext(uri_owl_FunctionalProperty, v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & iext(v1, v2, v4) & iext(v1, v2, v3))) & ! [v1] : ( ~ ip(v1) | icext(uri_owl_InverseFunctionalProperty, v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v3 = v2) & iext(v1, v3, v4) & iext(v1, v2, v4))))
% 3.39/1.52 | Instantiating (0) with all_0_0_0 yields:
% 3.39/1.52 | (1) iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction) & iext(uri_owl_onProperty, all_0_0_0, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, all_0_0_0, uri_owl_FunctionalProperty) & iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, all_0_0_0) & ic(uri_owl_InverseFunctionalProperty) & ~ iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(v1, v3, v4) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | icext(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ icext(uri_owl_FunctionalProperty, v0) | ~ iext(v0, v1, v3) | ~ iext(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ icext(uri_owl_InverseFunctionalProperty, v0) | ~ iext(v0, v2, v3) | ~ iext(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | ? [v4] : (icext(v2, v4) & iext(v1, v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2)) & ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3)))) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(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_owl_inverseOf, v0, v1) | ip(v1)) & ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0)) & ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ 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] : ( ~ icext(uri_owl_FunctionalProperty, v0) | ip(v0)) & ! [v0] : ( ~ icext(uri_owl_InverseFunctionalProperty, v0) | ip(v0)) & ! [v0] : ( ~ ip(v0) | icext(uri_owl_FunctionalProperty, v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v2) & iext(v0, v1, v3) & iext(v0, v1, v2))) & ! [v0] : ( ~ ip(v0) | icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v2 = v1) & iext(v0, v2, v3) & iext(v0, v1, v3)))
% 3.61/1.53 |
% 3.61/1.53 | Applying alpha-rule on (1) yields:
% 3.61/1.53 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, v3, v2))
% 3.61/1.53 | (3) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v1))
% 3.61/1.53 | (4) iext(uri_owl_someValuesFrom, all_0_0_0, uri_owl_FunctionalProperty)
% 3.61/1.53 | (5) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0))
% 3.61/1.53 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v3, v2) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3))
% 3.61/1.53 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ icext(uri_owl_FunctionalProperty, v0) | ~ iext(v0, v1, v3) | ~ iext(v0, v1, v2))
% 3.61/1.53 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v1, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v0, v2))
% 3.61/1.53 | (9) iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, all_0_0_0)
% 3.61/1.53 | (10) ! [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))))
% 3.61/1.54 | (11) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v0))
% 3.61/1.54 | (12) ! [v0] : ( ~ icext(uri_owl_FunctionalProperty, v0) | ip(v0))
% 3.61/1.54 | (13) ! [v0] : ! [v1] : ( ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1))
% 3.61/1.54 | (14) iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction)
% 3.61/1.54 | (15) ! [v0] : ( ~ icext(uri_owl_InverseFunctionalProperty, v0) | ip(v0))
% 3.61/1.54 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_equivalentClass, v0, v1) | icext(v1, v2))
% 3.61/1.54 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(v1, v3, v4) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | icext(v0, v3))
% 3.61/1.54 | (18) ! [v0] : ( ~ ip(v0) | icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v2 = v1) & iext(v0, v2, v3) & iext(v0, v1, v3)))
% 3.61/1.54 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ icext(uri_owl_InverseFunctionalProperty, v0) | ~ iext(v0, v2, v3) | ~ iext(v0, v1, v3))
% 3.61/1.54 | (20) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1))
% 3.61/1.54 | (21) ~ iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)
% 3.61/1.54 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2))
% 3.61/1.54 | (23) iext(uri_owl_onProperty, all_0_0_0, uri_owl_inverseOf)
% 3.61/1.54 | (24) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2)))
% 3.61/1.54 | (25) ! [v0] : ! [v1] : ( ~ ip(v1) | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2] : ? [v3] : (( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, v3, v2) | iext(v0, v2, v3))))
% 3.61/1.54 | (26) ic(uri_owl_InverseFunctionalProperty)
% 3.61/1.54 | (27) ! [v0] : ( ~ ip(v0) | icext(uri_owl_FunctionalProperty, v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v2) & iext(v0, v1, v3) & iext(v0, v1, v2)))
% 3.61/1.54 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_someValuesFrom, v0, v2) | ? [v4] : (icext(v2, v4) & iext(v1, v3, v4)))
% 3.61/1.54 | (29) ! [v0] : ! [v1] : ( ~ iext(uri_owl_equivalentClass, v0, v1) | ic(v0))
% 3.61/1.54 |
% 3.61/1.54 | Instantiating formula (29) with all_0_0_0, uri_ex_InversesOfFunctionalProperties and discharging atoms iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, all_0_0_0), yields:
% 3.61/1.54 | (30) ic(uri_ex_InversesOfFunctionalProperties)
% 3.61/1.54 |
% 3.61/1.54 | Instantiating formula (24) with uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties and discharging atoms ic(uri_ex_InversesOfFunctionalProperties), ic(uri_owl_InverseFunctionalProperty), ~ iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty), yields:
% 3.61/1.54 | (31) ? [v0] : (icext(uri_ex_InversesOfFunctionalProperties, v0) & ~ icext(uri_owl_InverseFunctionalProperty, v0))
% 3.61/1.54 |
% 3.61/1.54 | Instantiating (31) with all_15_0_1 yields:
% 3.61/1.54 | (32) icext(uri_ex_InversesOfFunctionalProperties, all_15_0_1) & ~ icext(uri_owl_InverseFunctionalProperty, all_15_0_1)
% 3.61/1.54 |
% 3.61/1.54 | Applying alpha-rule on (32) yields:
% 3.61/1.54 | (33) icext(uri_ex_InversesOfFunctionalProperties, all_15_0_1)
% 3.61/1.54 | (34) ~ icext(uri_owl_InverseFunctionalProperty, all_15_0_1)
% 3.61/1.54 |
% 3.61/1.54 | Instantiating formula (16) with all_15_0_1, all_0_0_0, uri_ex_InversesOfFunctionalProperties and discharging atoms icext(uri_ex_InversesOfFunctionalProperties, all_15_0_1), iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, all_0_0_0), yields:
% 3.61/1.54 | (35) icext(all_0_0_0, all_15_0_1)
% 3.61/1.54 |
% 3.61/1.54 | Instantiating formula (28) with all_15_0_1, uri_owl_FunctionalProperty, uri_owl_inverseOf, all_0_0_0 and discharging atoms icext(all_0_0_0, all_15_0_1), iext(uri_owl_onProperty, all_0_0_0, uri_owl_inverseOf), iext(uri_owl_someValuesFrom, all_0_0_0, uri_owl_FunctionalProperty), yields:
% 3.61/1.54 | (36) ? [v0] : (icext(uri_owl_FunctionalProperty, v0) & iext(uri_owl_inverseOf, all_15_0_1, v0))
% 3.61/1.55 |
% 3.61/1.55 | Instantiating (36) with all_28_0_2 yields:
% 3.61/1.55 | (37) icext(uri_owl_FunctionalProperty, all_28_0_2) & iext(uri_owl_inverseOf, all_15_0_1, all_28_0_2)
% 3.61/1.55 |
% 3.61/1.55 | Applying alpha-rule on (37) yields:
% 3.61/1.55 | (38) icext(uri_owl_FunctionalProperty, all_28_0_2)
% 3.61/1.55 | (39) iext(uri_owl_inverseOf, all_15_0_1, all_28_0_2)
% 3.61/1.55 |
% 3.61/1.55 | Instantiating formula (11) with all_28_0_2, all_15_0_1 and discharging atoms iext(uri_owl_inverseOf, all_15_0_1, all_28_0_2), yields:
% 3.61/1.55 | (40) ip(all_15_0_1)
% 3.61/1.55 |
% 3.61/1.55 | Instantiating formula (18) with all_15_0_1 and discharging atoms ip(all_15_0_1), ~ icext(uri_owl_InverseFunctionalProperty, all_15_0_1), yields:
% 3.61/1.55 | (41) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & iext(all_15_0_1, v1, v2) & iext(all_15_0_1, v0, v2))
% 3.61/1.55 |
% 3.61/1.55 | Instantiating (41) with all_41_0_3, all_41_1_4, all_41_2_5 yields:
% 3.61/1.55 | (42) ~ (all_41_1_4 = all_41_2_5) & iext(all_15_0_1, all_41_1_4, all_41_0_3) & iext(all_15_0_1, all_41_2_5, all_41_0_3)
% 3.61/1.55 |
% 3.61/1.55 | Applying alpha-rule on (42) yields:
% 3.61/1.55 | (43) ~ (all_41_1_4 = all_41_2_5)
% 3.61/1.55 | (44) iext(all_15_0_1, all_41_1_4, all_41_0_3)
% 3.61/1.55 | (45) iext(all_15_0_1, all_41_2_5, all_41_0_3)
% 3.61/1.55 |
% 3.61/1.55 | Instantiating formula (2) with all_41_0_3, all_41_1_4, all_28_0_2, all_15_0_1 and discharging atoms iext(all_15_0_1, all_41_1_4, all_41_0_3), iext(uri_owl_inverseOf, all_15_0_1, all_28_0_2), yields:
% 3.61/1.55 | (46) iext(all_28_0_2, all_41_0_3, all_41_1_4)
% 3.61/1.55 |
% 3.61/1.55 | Instantiating formula (2) with all_41_0_3, all_41_2_5, all_28_0_2, all_15_0_1 and discharging atoms iext(all_15_0_1, all_41_2_5, all_41_0_3), iext(uri_owl_inverseOf, all_15_0_1, all_28_0_2), yields:
% 3.61/1.55 | (47) iext(all_28_0_2, all_41_0_3, all_41_2_5)
% 3.61/1.55 |
% 3.61/1.55 | Instantiating formula (7) with all_41_2_5, all_41_1_4, all_41_0_3, all_28_0_2 and discharging atoms icext(uri_owl_FunctionalProperty, all_28_0_2), iext(all_28_0_2, all_41_0_3, all_41_1_4), iext(all_28_0_2, all_41_0_3, all_41_2_5), yields:
% 3.61/1.55 | (48) all_41_1_4 = all_41_2_5
% 3.61/1.55 |
% 3.61/1.55 | Equations (48) can reduce 43 to:
% 3.61/1.55 | (49) $false
% 3.61/1.55 |
% 3.61/1.55 |-The branch is then unsatisfiable
% 3.61/1.55 % SZS output end Proof for theBenchmark
% 3.61/1.55
% 3.61/1.55 969ms
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