%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:43 PM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 07:00:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.45 Command-line arguments: --flatten-regeneralise
% 0.14/0.45
% 0.14/0.45 % SZS status Theorem
% 0.14/0.45
% 0.14/0.45 % SZS output start Proof
% 0.14/0.45 Axiom 1 (testcase_premise_fullish_009_Existential_Restriction_Entailments_4): iext(uri_owl_someValuesFrom, bnode_z, uri_ex_c) = true.
% 0.14/0.45 Axiom 2 (testcase_premise_fullish_009_Existential_Restriction_Entailments_5): iext(uri_owl_onProperty, bnode_z, uri_ex_p) = true.
% 0.14/0.45 Axiom 3 (testcase_premise_fullish_009_Existential_Restriction_Entailments_1): iext(uri_rdf_type, uri_ex_s, bnode_z) = true.
% 0.14/0.45 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.14/0.45 Axiom 5 (rdfs_cext_def_1): ifeq(icext(X, Y), true, iext(uri_rdf_type, Y, X), true) = true.
% 0.14/0.45 Axiom 6 (rdfs_cext_def): ifeq(iext(uri_rdf_type, X, Y), true, icext(Y, X), true) = true.
% 0.14/0.45 Axiom 7 (owl_restrict_somevaluesfrom_2): ifeq(icext(X, Y), true, ifeq(iext(uri_owl_onProperty, X, Z), true, ifeq(iext(uri_owl_someValuesFrom, X, W), true, icext(W, y(Z, W, Y)), true), true), true) = true.
% 0.14/0.45 Axiom 8 (owl_restrict_somevaluesfrom_1): ifeq(icext(X, Y), true, ifeq(iext(uri_owl_onProperty, X, Z), true, ifeq(iext(uri_owl_someValuesFrom, X, W), true, iext(Z, Y, y(Z, W, Y)), true), true), true) = true.
% 0.14/0.45
% 0.14/0.45 Goal 1 (testcase_conclusion_fullish_009_Existential_Restriction_Entailments): tuple(iext(uri_rdf_type, X, uri_ex_c), iext(uri_ex_p, uri_ex_s, X)) = tuple(true, true).
% 0.14/0.45 The goal is true when:
% 0.14/0.45 X = y(uri_ex_p, uri_ex_c, uri_ex_s)
% 0.14/0.45
% 0.14/0.45 Proof:
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)))
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(true, true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true))
% 0.14/0.45 = { by axiom 6 (rdfs_cext_def) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(ifeq(iext(uri_rdf_type, uri_ex_s, bnode_z), true, icext(bnode_z, uri_ex_s), true), true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true))
% 0.14/0.45 = { by axiom 3 (testcase_premise_fullish_009_Existential_Restriction_Entailments_1) }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(ifeq(true, true, icext(bnode_z, uri_ex_s), true), true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true))
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(icext(bnode_z, uri_ex_s), true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true))
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(icext(bnode_z, uri_ex_s), true, ifeq(true, true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true))
% 0.14/0.45 = { by axiom 2 (testcase_premise_fullish_009_Existential_Restriction_Entailments_5) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(icext(bnode_z, uri_ex_s), true, ifeq(iext(uri_owl_onProperty, bnode_z, uri_ex_p), true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true))
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(icext(bnode_z, uri_ex_s), true, ifeq(iext(uri_owl_onProperty, bnode_z, uri_ex_p), true, ifeq(true, true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true))
% 0.14/0.45 = { by axiom 1 (testcase_premise_fullish_009_Existential_Restriction_Entailments_4) R->L }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), ifeq(icext(bnode_z, uri_ex_s), true, ifeq(iext(uri_owl_onProperty, bnode_z, uri_ex_p), true, ifeq(iext(uri_owl_someValuesFrom, bnode_z, uri_ex_c), true, iext(uri_ex_p, uri_ex_s, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true))
% 0.14/0.45 = { by axiom 8 (owl_restrict_somevaluesfrom_1) }
% 0.14/0.45 tuple(iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true)
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.45 tuple(ifeq(true, true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 7 (owl_restrict_somevaluesfrom_2) R->L }
% 0.14/0.45 tuple(ifeq(ifeq(icext(bnode_z, uri_ex_s), true, ifeq(iext(uri_owl_onProperty, bnode_z, uri_ex_p), true, ifeq(iext(uri_owl_someValuesFrom, bnode_z, uri_ex_c), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 2 (testcase_premise_fullish_009_Existential_Restriction_Entailments_5) }
% 0.14/0.45 tuple(ifeq(ifeq(icext(bnode_z, uri_ex_s), true, ifeq(true, true, ifeq(iext(uri_owl_someValuesFrom, bnode_z, uri_ex_c), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.14/0.45 tuple(ifeq(ifeq(icext(bnode_z, uri_ex_s), true, ifeq(iext(uri_owl_someValuesFrom, bnode_z, uri_ex_c), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 1 (testcase_premise_fullish_009_Existential_Restriction_Entailments_4) }
% 0.14/0.45 tuple(ifeq(ifeq(icext(bnode_z, uri_ex_s), true, ifeq(true, true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.14/0.45 tuple(ifeq(ifeq(icext(bnode_z, uri_ex_s), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.45 tuple(ifeq(ifeq(ifeq(true, true, icext(bnode_z, uri_ex_s), true), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 3 (testcase_premise_fullish_009_Existential_Restriction_Entailments_1) R->L }
% 0.14/0.45 tuple(ifeq(ifeq(ifeq(iext(uri_rdf_type, uri_ex_s, bnode_z), true, icext(bnode_z, uri_ex_s), true), true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 6 (rdfs_cext_def) }
% 0.14/0.45 tuple(ifeq(ifeq(true, true, icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 4 (ifeq_axiom) }
% 0.14/0.45 tuple(ifeq(icext(uri_ex_c, y(uri_ex_p, uri_ex_c, uri_ex_s)), true, iext(uri_rdf_type, y(uri_ex_p, uri_ex_c, uri_ex_s), uri_ex_c), true), true)
% 0.14/0.45 = { by axiom 5 (rdfs_cext_def_1) }
% 0.14/0.45 tuple(true, true)
% 0.14/0.45 % SZS output end Proof
% 0.14/0.45
% 0.14/0.45 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------