TSTP Solution File: SWB011+2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWB011+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 : n002.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 20:12:47 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB011+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 07:15:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.39 Command-line arguments: --no-flatten-goal
% 0.13/0.39
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 Take the following subset of the input axioms:
% 0.13/0.40 fof(owl_eqdis_disjointwith, axiom, ![C1, C2]: (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & (ic(C2) & ![X]: ~(icext(C1, X) & icext(C2, X)))))).
% 0.13/0.40 fof(rdfs_cext_def, axiom, ![C, X2]: (iext(uri_rdf_type, X2, C) <=> icext(C, X2))).
% 0.13/0.40 fof(testcase_premise_fullish_011_Entity_Types_as_Classes, axiom, iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) & (iext(uri_rdf_type, uri_ex_x, uri_owl_Class) & iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty))).
% 0.13/0.40
% 0.13/0.40 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.13/0.40 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.13/0.40 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.13/0.40 fresh(y, y, x1...xn) = u
% 0.13/0.40 C => fresh(s, t, x1...xn) = v
% 0.13/0.40 where fresh is a fresh function symbol and x1..xn are the free
% 0.13/0.40 variables of u and v.
% 0.13/0.40 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.13/0.40 input problem has no model of domain size 1).
% 0.13/0.40
% 0.13/0.40 The encoding turns the above axioms into the following unit equations and goals:
% 0.13/0.40
% 0.13/0.40 Axiom 1 (testcase_premise_fullish_011_Entity_Types_as_Classes): iext(uri_rdf_type, uri_ex_x, uri_owl_Class) = true2.
% 0.13/0.40 Axiom 2 (testcase_premise_fullish_011_Entity_Types_as_Classes_1): iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = true2.
% 0.13/0.40 Axiom 3 (testcase_premise_fullish_011_Entity_Types_as_Classes_2): iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = true2.
% 0.13/0.40 Axiom 4 (rdfs_cext_def): fresh2(X, X, Y, Z) = true2.
% 0.13/0.40 Axiom 5 (rdfs_cext_def): fresh2(iext(uri_rdf_type, X, Y), true2, X, Y) = icext(Y, X).
% 0.13/0.40
% 0.13/0.40 Goal 1 (owl_eqdis_disjointwith_2): tuple(iext(uri_owl_disjointWith, X, Y), icext(X, Z), icext(Y, Z)) = tuple(true2, true2, true2).
% 0.13/0.40 The goal is true when:
% 0.13/0.40 X = uri_owl_Class
% 0.13/0.40 Y = uri_owl_ObjectProperty
% 0.13/0.40 Z = uri_ex_x
% 0.13/0.40
% 0.13/0.40 Proof:
% 0.13/0.40 tuple(iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty), icext(uri_owl_Class, uri_ex_x), icext(uri_owl_ObjectProperty, uri_ex_x))
% 0.13/0.40 = { by axiom 3 (testcase_premise_fullish_011_Entity_Types_as_Classes_2) }
% 0.13/0.40 tuple(true2, icext(uri_owl_Class, uri_ex_x), icext(uri_owl_ObjectProperty, uri_ex_x))
% 0.13/0.40 = { by axiom 5 (rdfs_cext_def) R->L }
% 0.13/0.40 tuple(true2, fresh2(iext(uri_rdf_type, uri_ex_x, uri_owl_Class), true2, uri_ex_x, uri_owl_Class), icext(uri_owl_ObjectProperty, uri_ex_x))
% 0.13/0.40 = { by axiom 1 (testcase_premise_fullish_011_Entity_Types_as_Classes) }
% 0.13/0.40 tuple(true2, fresh2(true2, true2, uri_ex_x, uri_owl_Class), icext(uri_owl_ObjectProperty, uri_ex_x))
% 0.13/0.40 = { by axiom 4 (rdfs_cext_def) }
% 0.13/0.40 tuple(true2, true2, icext(uri_owl_ObjectProperty, uri_ex_x))
% 0.13/0.40 = { by axiom 5 (rdfs_cext_def) R->L }
% 0.13/0.40 tuple(true2, true2, fresh2(iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty), true2, uri_ex_x, uri_owl_ObjectProperty))
% 0.13/0.40 = { by axiom 2 (testcase_premise_fullish_011_Entity_Types_as_Classes_1) }
% 0.13/0.40 tuple(true2, true2, fresh2(true2, true2, uri_ex_x, uri_owl_ObjectProperty))
% 0.13/0.40 = { by axiom 4 (rdfs_cext_def) }
% 0.13/0.40 tuple(true2, true2, true2)
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40
% 0.13/0.40 RESULT: Unsatisfiable (the axioms are contradictory).
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