TSTP Solution File: SWB019+2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWB019+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n021.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 : 300s
% DateTime : Thu Aug 31 20:12:52 EDT 2023
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB019+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:05:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.39 Command-line arguments: --ground-connectedness --complete-subsets
% 0.19/0.39
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 Take the following subset of the input axioms:
% 0.19/0.39 fof(owl_eqdis_propertydisjointwith, axiom, ![P1, P2]: (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & (ip(P2) & ![X, Y]: ~(iext(P1, X, Y) & iext(P2, X, Y)))))).
% 0.19/0.39 fof(testcase_premise_fullish_019_Disjoint_Annotation_Properties, axiom, iext(uri_rdf_type, uri_skos_prefLabel, uri_owl_AnnotationProperty) & (iext(uri_rdfs_subPropertyOf, uri_skos_prefLabel, uri_rdfs_label) & (iext(uri_rdf_type, uri_skos_altLabel, uri_owl_AnnotationProperty) & (iext(uri_rdfs_subPropertyOf, uri_skos_altLabel, uri_rdfs_label) & (iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel) & (iext(uri_skos_prefLabel, uri_ex_foo, literal_plain(dat_str_foo)) & iext(uri_skos_altLabel, uri_ex_foo, literal_plain(dat_str_foo)))))))).
% 0.19/0.39
% 0.19/0.39 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.39 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.39 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.39 fresh(y, y, x1...xn) = u
% 0.19/0.39 C => fresh(s, t, x1...xn) = v
% 0.19/0.39 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.39 variables of u and v.
% 0.19/0.39 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.39 input problem has no model of domain size 1).
% 0.19/0.39
% 0.19/0.39 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.39
% 0.19/0.39 Axiom 1 (testcase_premise_fullish_019_Disjoint_Annotation_Properties): iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel) = true2.
% 0.19/0.39 Axiom 2 (testcase_premise_fullish_019_Disjoint_Annotation_Properties_3): iext(uri_skos_prefLabel, uri_ex_foo, literal_plain(dat_str_foo)) = true2.
% 0.19/0.39 Axiom 3 (testcase_premise_fullish_019_Disjoint_Annotation_Properties_6): iext(uri_skos_altLabel, uri_ex_foo, literal_plain(dat_str_foo)) = true2.
% 0.19/0.39
% 0.19/0.39 Goal 1 (owl_eqdis_propertydisjointwith): tuple(iext(X, Y, Z), iext(W, Y, Z), iext(uri_owl_propertyDisjointWith, X, W)) = tuple(true2, true2, true2).
% 0.19/0.39 The goal is true when:
% 0.19/0.39 X = uri_skos_prefLabel
% 0.19/0.39 Y = uri_ex_foo
% 0.19/0.39 Z = literal_plain(dat_str_foo)
% 0.19/0.39 W = uri_skos_altLabel
% 0.19/0.39
% 0.19/0.39 Proof:
% 0.19/0.39 tuple(iext(uri_skos_prefLabel, uri_ex_foo, literal_plain(dat_str_foo)), iext(uri_skos_altLabel, uri_ex_foo, literal_plain(dat_str_foo)), iext(uri_owl_propertyDisjointWith, uri_skos_prefLabel, uri_skos_altLabel))
% 0.19/0.39 = { by axiom 1 (testcase_premise_fullish_019_Disjoint_Annotation_Properties) }
% 0.19/0.39 tuple(iext(uri_skos_prefLabel, uri_ex_foo, literal_plain(dat_str_foo)), iext(uri_skos_altLabel, uri_ex_foo, literal_plain(dat_str_foo)), true2)
% 0.19/0.39 = { by axiom 2 (testcase_premise_fullish_019_Disjoint_Annotation_Properties_3) }
% 0.19/0.39 tuple(true2, iext(uri_skos_altLabel, uri_ex_foo, literal_plain(dat_str_foo)), true2)
% 0.19/0.39 = { by axiom 3 (testcase_premise_fullish_019_Disjoint_Annotation_Properties_6) }
% 0.19/0.39 tuple(true2, true2, true2)
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39
% 0.19/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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