TSTP Solution File: SWB074+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWB074+1 : 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 : n011.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 20:13:07 EDT 2023
% Result : Theorem 123.34s 16.20s
% Output : Proof 123.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWB074+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.13 % 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 : n011.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 06:47:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 123.34/16.20 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 123.34/16.20
% 123.34/16.20 % SZS status Theorem
% 123.34/16.20
% 123.34/16.20 % SZS output start Proof
% 123.34/16.20 Take the following subset of the input axioms:
% 123.34/16.20 fof(conclusion_rdfbased_sem_prop_topdataproperty_ext_lo, conjecture, iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y)).
% 123.34/16.20 fof(owl_parts_lv_def, axiom, ![X]: (lv(X) <=> iext(uri_rdf_type, X, uri_rdfs_Literal))).
% 123.34/16.20 fof(owl_prop_topdataproperty_ext, axiom, ![Y, X2]: (iext(uri_owl_topDataProperty, X2, Y) <=> (ir(X2) & lv(Y)))).
% 123.34/16.20 fof(premise_rdfbased_sem_prop_topdataproperty_ext_lo, axiom, iext(uri_rdf_type, uri_ex_y, uri_rdfs_Literal) & iext(uri_rdf_type, uri_ex_x, uri_owl_Thing)).
% 123.34/16.20 fof(simple_ir, axiom, ![X2]: ir(X2)).
% 123.34/16.20
% 123.34/16.20 Now clausify the problem and encode Horn clauses using encoding 3 of
% 123.34/16.20 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 123.34/16.20 We repeatedly replace C & s=t => u=v by the two clauses:
% 123.34/16.20 fresh(y, y, x1...xn) = u
% 123.34/16.20 C => fresh(s, t, x1...xn) = v
% 123.34/16.20 where fresh is a fresh function symbol and x1..xn are the free
% 123.34/16.20 variables of u and v.
% 123.34/16.20 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 123.34/16.20 input problem has no model of domain size 1).
% 123.34/16.20
% 123.34/16.20 The encoding turns the above axioms into the following unit equations and goals:
% 123.34/16.20
% 123.34/16.20 Axiom 1 (simple_ir): ir(X) = true2.
% 123.34/16.20 Axiom 2 (premise_rdfbased_sem_prop_topdataproperty_ext_lo_1): iext(uri_rdf_type, uri_ex_y, uri_rdfs_Literal) = true2.
% 123.34/16.20 Axiom 3 (owl_parts_lv_def): fresh253(X, X, Y) = true2.
% 123.34/16.20 Axiom 4 (owl_prop_topdataproperty_ext_2): fresh157(X, X, Y, Z) = iext(uri_owl_topDataProperty, Y, Z).
% 123.34/16.20 Axiom 5 (owl_prop_topdataproperty_ext_2): fresh156(X, X, Y, Z) = true2.
% 123.34/16.20 Axiom 6 (owl_parts_lv_def): fresh253(iext(uri_rdf_type, X, uri_rdfs_Literal), true2, X) = lv(X).
% 123.34/16.20 Axiom 7 (owl_prop_topdataproperty_ext_2): fresh157(lv(X), true2, Y, X) = fresh156(ir(Y), true2, Y, X).
% 123.34/16.20
% 123.34/16.20 Goal 1 (conclusion_rdfbased_sem_prop_topdataproperty_ext_lo): iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y) = true2.
% 123.34/16.20 Proof:
% 123.34/16.20 iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 4 (owl_prop_topdataproperty_ext_2) R->L }
% 123.34/16.20 fresh157(true2, true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 3 (owl_parts_lv_def) R->L }
% 123.34/16.20 fresh157(fresh253(true2, true2, uri_ex_y), true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 2 (premise_rdfbased_sem_prop_topdataproperty_ext_lo_1) R->L }
% 123.34/16.20 fresh157(fresh253(iext(uri_rdf_type, uri_ex_y, uri_rdfs_Literal), true2, uri_ex_y), true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 6 (owl_parts_lv_def) }
% 123.34/16.20 fresh157(lv(uri_ex_y), true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 7 (owl_prop_topdataproperty_ext_2) }
% 123.34/16.20 fresh156(ir(uri_ex_x), true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 1 (simple_ir) }
% 123.34/16.20 fresh156(true2, true2, uri_ex_x, uri_ex_y)
% 123.34/16.20 = { by axiom 5 (owl_prop_topdataproperty_ext_2) }
% 123.34/16.20 true2
% 123.34/16.20 % SZS output end Proof
% 123.34/16.20
% 123.34/16.20 RESULT: Theorem (the conjecture is true).
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