TSTP Solution File: SWB024+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 18:59:42 EDT 2022
% Result : Theorem 2.25s 1.20s
% Output : Proof 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n022.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 00:59:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 ____ _
% 0.18/0.56 ___ / __ \_____(_)___ ________ __________
% 0.18/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.56
% 0.18/0.56 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.47/0.92 Prover 0: Preprocessing ...
% 1.74/1.06 Prover 0: Constructing countermodel ...
% 2.25/1.20 Prover 0: proved (585ms)
% 2.25/1.20
% 2.25/1.20 No countermodel exists, formula is valid
% 2.25/1.20 % SZS status Theorem for theBenchmark
% 2.25/1.20
% 2.25/1.20 Generating proof ... found it (size 10)
% 2.90/1.41
% 2.90/1.41 % SZS output start Proof for theBenchmark
% 2.90/1.41 Assumed formulas after preprocessing and simplification:
% 2.90/1.41 | (0) ? [v0] : ? [v1] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob) & iext(uri_rdfs_subClassOf, uri_ex_Person, v1) & iext(uri_owl_onProperty, v1, uri_ex_hasAncestor) & iext(uri_owl_minCardinality, v1, v0) & iext(uri_rdf_type, v1, uri_owl_Restriction) & iext(uri_rdf_type, uri_ex_alice, uri_ex_Person) & iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) & iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (literal_typed(v5, v4) = v3) | ~ (literal_typed(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ icext(uri_owl_TransitiveProperty, v2) | ~ iext(v2, v4, v5) | ~ iext(v2, v3, v4) | iext(v2, v3, v5)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ iext(v3, v4, v5) | ~ iext(uri_owl_onProperty, v2, v3) | ~ iext(uri_owl_minCardinality, v2, v0) | icext(v2, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(uri_rdfs_subClassOf, v2, v3) | icext(v3, v4)) & ! [v2] : ! [v3] : ! [v4] : ( ~ icext(v2, v4) | ~ iext(uri_owl_onProperty, v2, v3) | ~ iext(uri_owl_minCardinality, v2, v0) | ? [v5] : iext(v3, v4, v5)) & ! [v2] : ! [v3] : ( ~ ic(v3) | ~ ic(v2) | iext(uri_rdfs_subClassOf, v2, v3) | ? [v4] : (icext(v2, v4) & ~ icext(v3, v4))) & ! [v2] : ! [v3] : ( ~ icext(v3, v2) | iext(uri_rdf_type, v2, v3)) & ! [v2] : ! [v3] : ( ~ iext(uri_rdfs_subClassOf, v2, v3) | ic(v3)) & ! [v2] : ! [v3] : ( ~ iext(uri_rdfs_subClassOf, v2, v3) | ic(v2)) & ! [v2] : ! [v3] : ( ~ iext(uri_rdf_type, v2, v3) | icext(v3, v2)) & ! [v2] : ( ~ ip(v2) | icext(uri_owl_TransitiveProperty, v2) | ? [v3] : ? [v4] : ? [v5] : (iext(v2, v4, v5) & iext(v2, v3, v4) & ~ iext(v2, v3, v5))) & ! [v2] : ( ~ icext(uri_owl_TransitiveProperty, v2) | ip(v2)) & ! [v2] : ( ~ iext(uri_ex_hasAncestor, uri_ex_alice, v2) | ~ iext(uri_ex_hasAncestor, uri_ex_bob, v2)))
% 3.11/1.45 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 3.11/1.45 | (1) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_0_1_1 & iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob) & iext(uri_rdfs_subClassOf, uri_ex_Person, all_0_0_0) & iext(uri_owl_onProperty, all_0_0_0, uri_ex_hasAncestor) & iext(uri_owl_minCardinality, all_0_0_0, all_0_1_1) & iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction) & iext(uri_rdf_type, uri_ex_alice, uri_ex_Person) & iext(uri_rdf_type, uri_ex_bob, uri_ex_Person) & iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(uri_owl_TransitiveProperty, v0) | ~ iext(v0, v2, v3) | ~ iext(v0, v1, v2) | iext(v0, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v2, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_minCardinality, v0, all_0_1_1) | 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_onProperty, v0, v1) | ~ iext(uri_owl_minCardinality, v0, all_0_1_1) | ? [v3] : iext(v1, v2, v3)) & ! [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] : ( ~ 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) | icext(uri_owl_TransitiveProperty, v0) | ? [v1] : ? [v2] : ? [v3] : (iext(v0, v2, v3) & iext(v0, v1, v2) & ~ iext(v0, v1, v3))) & ! [v0] : ( ~ icext(uri_owl_TransitiveProperty, v0) | ip(v0)) & ! [v0] : ( ~ iext(uri_ex_hasAncestor, uri_ex_alice, v0) | ~ iext(uri_ex_hasAncestor, uri_ex_bob, v0))
% 3.11/1.46 |
% 3.11/1.46 | Applying alpha-rule on (1) yields:
% 3.11/1.46 | (2) iext(uri_rdfs_subClassOf, uri_ex_Person, all_0_0_0)
% 3.11/1.46 | (3) iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty)
% 3.11/1.46 | (4) iext(uri_rdf_type, uri_ex_alice, uri_ex_Person)
% 3.11/1.46 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ iext(v1, v2, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_minCardinality, v0, all_0_1_1) | icext(v0, v2))
% 3.11/1.46 | (6) iext(uri_owl_minCardinality, all_0_0_0, all_0_1_1)
% 3.11/1.46 | (7) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_0_1_1
% 3.11/1.46 | (8) iext(uri_rdf_type, uri_ex_bob, uri_ex_Person)
% 3.11/1.46 | (9) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v0))
% 3.11/1.46 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0))
% 3.16/1.46 | (11) ! [v0] : ( ~ icext(uri_owl_TransitiveProperty, v0) | ip(v0))
% 3.16/1.46 | (12) ! [v0] : ! [v1] : ( ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 3.16/1.46 | (13) ! [v0] : ! [v1] : ( ~ icext(v1, v0) | iext(uri_rdf_type, v0, v1))
% 3.16/1.46 | (14) ! [v0] : ! [v1] : ( ~ ic(v1) | ~ ic(v0) | iext(uri_rdfs_subClassOf, v0, v1) | ? [v2] : (icext(v0, v2) & ~ icext(v1, v2)))
% 3.16/1.47 | (15) ! [v0] : ! [v1] : ( ~ iext(uri_rdfs_subClassOf, v0, v1) | ic(v1))
% 3.16/1.47 | (16) iext(uri_owl_onProperty, all_0_0_0, uri_ex_hasAncestor)
% 3.16/1.47 | (17) iext(uri_rdf_type, all_0_0_0, uri_owl_Restriction)
% 3.16/1.47 | (18) iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob)
% 3.16/1.47 | (19) ! [v0] : ( ~ iext(uri_ex_hasAncestor, uri_ex_alice, v0) | ~ iext(uri_ex_hasAncestor, uri_ex_bob, v0))
% 3.16/1.47 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_minCardinality, v0, all_0_1_1) | ? [v3] : iext(v1, v2, v3))
% 3.16/1.47 | (21) ! [v0] : ( ~ ip(v0) | icext(uri_owl_TransitiveProperty, v0) | ? [v1] : ? [v2] : ? [v3] : (iext(v0, v2, v3) & iext(v0, v1, v2) & ~ iext(v0, v1, v3)))
% 3.16/1.47 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ icext(uri_owl_TransitiveProperty, v0) | ~ iext(v0, v2, v3) | ~ iext(v0, v1, v2) | iext(v0, v1, v3))
% 3.16/1.47 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ icext(v0, v2) | ~ iext(uri_rdfs_subClassOf, v0, v1) | icext(v1, v2))
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (12) with uri_ex_Person, uri_ex_bob and discharging atoms iext(uri_rdf_type, uri_ex_bob, uri_ex_Person), yields:
% 3.16/1.47 | (24) icext(uri_ex_Person, uri_ex_bob)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (12) with uri_owl_TransitiveProperty, uri_ex_hasAncestor and discharging atoms iext(uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty), yields:
% 3.16/1.47 | (25) icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (23) with uri_ex_bob, all_0_0_0, uri_ex_Person and discharging atoms icext(uri_ex_Person, uri_ex_bob), iext(uri_rdfs_subClassOf, uri_ex_Person, all_0_0_0), yields:
% 3.16/1.47 | (26) icext(all_0_0_0, uri_ex_bob)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (20) with uri_ex_bob, uri_ex_hasAncestor, all_0_0_0 and discharging atoms icext(all_0_0_0, uri_ex_bob), iext(uri_owl_onProperty, all_0_0_0, uri_ex_hasAncestor), iext(uri_owl_minCardinality, all_0_0_0, all_0_1_1), yields:
% 3.16/1.47 | (27) ? [v0] : iext(uri_ex_hasAncestor, uri_ex_bob, v0)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating (27) with all_23_0_3 yields:
% 3.16/1.47 | (28) iext(uri_ex_hasAncestor, uri_ex_bob, all_23_0_3)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (22) with all_23_0_3, uri_ex_bob, uri_ex_alice, uri_ex_hasAncestor and discharging atoms icext(uri_owl_TransitiveProperty, uri_ex_hasAncestor), iext(uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob), iext(uri_ex_hasAncestor, uri_ex_bob, all_23_0_3), yields:
% 3.16/1.47 | (29) iext(uri_ex_hasAncestor, uri_ex_alice, all_23_0_3)
% 3.16/1.47 |
% 3.16/1.47 | Instantiating formula (19) with all_23_0_3 and discharging atoms iext(uri_ex_hasAncestor, uri_ex_alice, all_23_0_3), iext(uri_ex_hasAncestor, uri_ex_bob, all_23_0_3), yields:
% 3.16/1.47 | (30) $false
% 3.16/1.47 |
% 3.16/1.47 |-The branch is then unsatisfiable
% 3.16/1.47 % SZS output end Proof for theBenchmark
% 3.16/1.47
% 3.16/1.47 897ms
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