TSTP Solution File: SWB012+2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWB012+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 : n024.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 20:12:48 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : Proof 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB012+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 : n024.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 06:47:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.20/0.58
% 0.20/0.58 % SZS status Theorem
% 0.20/0.58
% 1.32/0.60 % SZS output start Proof
% 1.32/0.60 Take the following subset of the input axioms:
% 1.32/0.61 fof(owl_bool_intersectionof_class_003, axiom, ![Z, S1, C1, S2, C2, S3, C3]: ((iext(uri_rdf_first, S1, C1) & (iext(uri_rdf_rest, S1, S2) & (iext(uri_rdf_first, S2, C2) & (iext(uri_rdf_rest, S2, S3) & (iext(uri_rdf_first, S3, C3) & iext(uri_rdf_rest, S3, uri_rdf_nil)))))) => (iext(uri_owl_intersectionOf, Z, S1) <=> (ic(Z) & (ic(C1) & (ic(C2) & (ic(C3) & ![X]: (icext(Z, X) <=> (icext(C1, X) & (icext(C2, X) & icext(C3, X))))))))))).
% 1.32/0.61 fof(owl_restrict_hasvalue, axiom, ![P, A2, Z2]: ((iext(uri_owl_hasValue, Z2, A2) & iext(uri_owl_onProperty, Z2, P)) => ![X2]: (icext(Z2, X2) <=> iext(P, X2, A2)))).
% 1.32/0.61 fof(rdfs_cext_def, axiom, ![C, X2]: (iext(uri_rdf_type, X2, C) <=> icext(C, X2))).
% 1.32/0.61 fof(rdfs_domain_main, axiom, ![Y, X2, C4, P2]: ((iext(uri_rdfs_domain, P2, C4) & iext(P2, X2, Y)) => icext(C4, X2))).
% 1.32/0.61 fof(testcase_conclusion_fullish_012_Template_Class, conjecture, iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) & iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person)).
% 1.32/0.61 fof(testcase_premise_fullish_012_Template_Class, axiom, ?[BNODE_l1, BNODE_l2, BNODE_l3, BNODE_r]: (iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) & (iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, BNODE_l1) & (iext(uri_rdf_first, BNODE_l1, uri_owl_DatatypeProperty) & (iext(uri_rdf_rest, BNODE_l1, BNODE_l2) & (iext(uri_rdf_first, BNODE_l2, uri_owl_FunctionalProperty) & (iext(uri_rdf_rest, BNODE_l2, BNODE_l3) & (iext(uri_rdf_first, BNODE_l3, BNODE_r) & (iext(uri_rdf_rest, BNODE_l3, uri_rdf_nil) & (iext(uri_rdf_type, BNODE_r, uri_owl_Restriction) & (iext(uri_owl_onProperty, BNODE_r, uri_rdfs_domain) & (iext(uri_owl_hasValue, BNODE_r, uri_foaf_Person) & (iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) & iext(uri_ex_name, uri_ex_alice, literal_plain(dat_str_alice))))))))))))))).
% 1.32/0.61
% 1.32/0.61 Now clausify the problem and encode Horn clauses using encoding 3 of
% 1.32/0.61 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 1.32/0.61 We repeatedly replace C & s=t => u=v by the two clauses:
% 1.32/0.61 fresh(y, y, x1...xn) = u
% 1.32/0.61 C => fresh(s, t, x1...xn) = v
% 1.32/0.61 where fresh is a fresh function symbol and x1..xn are the free
% 1.32/0.61 variables of u and v.
% 1.32/0.61 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 1.32/0.61 input problem has no model of domain size 1).
% 1.32/0.61
% 1.32/0.61 The encoding turns the above axioms into the following unit equations and goals:
% 1.32/0.61
% 1.32/0.61 Axiom 1 (testcase_premise_fullish_012_Template_Class_10): iext(uri_owl_hasValue, bnode_r, uri_foaf_Person) = true.
% 1.32/0.61 Axiom 2 (testcase_premise_fullish_012_Template_Class_11): iext(uri_owl_onProperty, bnode_r, uri_rdfs_domain) = true.
% 1.32/0.61 Axiom 3 (testcase_premise_fullish_012_Template_Class): iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) = true.
% 1.32/0.61 Axiom 4 (testcase_premise_fullish_012_Template_Class_9): iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, bnode_l1) = true.
% 1.32/0.61 Axiom 5 (testcase_premise_fullish_012_Template_Class_3): iext(uri_rdf_first, bnode_l2, uri_owl_FunctionalProperty) = true.
% 1.32/0.61 Axiom 6 (testcase_premise_fullish_012_Template_Class_4): iext(uri_rdf_first, bnode_l1, uri_owl_DatatypeProperty) = true.
% 1.32/0.61 Axiom 7 (testcase_premise_fullish_012_Template_Class_5): iext(uri_rdf_first, bnode_l3, bnode_r) = true.
% 1.32/0.61 Axiom 8 (testcase_premise_fullish_012_Template_Class_6): iext(uri_rdf_rest, bnode_l2, bnode_l3) = true.
% 1.32/0.61 Axiom 9 (testcase_premise_fullish_012_Template_Class_7): iext(uri_rdf_rest, bnode_l1, bnode_l2) = true.
% 1.32/0.61 Axiom 10 (testcase_premise_fullish_012_Template_Class_8): iext(uri_rdf_rest, bnode_l3, uri_rdf_nil) = true.
% 1.32/0.61 Axiom 11 (rdfs_domain_main): fresh(X, X, Y, Z) = true.
% 1.32/0.61 Axiom 12 (owl_bool_intersectionof_class_003_10): fresh10(X, X, Y, Z) = true.
% 1.32/0.61 Axiom 13 (owl_bool_intersectionof_class_003_11): fresh9(X, X, Y, Z) = true.
% 1.32/0.61 Axiom 14 (rdfs_cext_def): fresh4(X, X, Y, Z) = true.
% 1.32/0.61 Axiom 15 (rdfs_cext_def_1): fresh3(X, X, Y, Z) = true.
% 1.32/0.61 Axiom 16 (testcase_premise_fullish_012_Template_Class_12): iext(uri_ex_name, uri_ex_alice, literal_plain(dat_str_alice)) = true.
% 1.32/0.61 Axiom 17 (owl_restrict_hasvalue_1): fresh14(X, X, Y, Z, W) = true.
% 1.32/0.61 Axiom 18 (owl_bool_intersectionof_class_003_4): fresh50(X, X, Y, Z, W, V) = true.
% 1.32/0.61 Axiom 19 (owl_restrict_hasvalue_1): fresh5(X, X, Y, Z, W, V) = iext(Z, V, W).
% 1.32/0.61 Axiom 20 (rdfs_cext_def_1): fresh3(icext(X, Y), true, Y, X) = iext(uri_rdf_type, Y, X).
% 1.32/0.61 Axiom 21 (rdfs_domain_main): fresh2(X, X, Y, Z, W, V) = icext(Z, W).
% 1.32/0.61 Axiom 22 (owl_bool_intersectionof_class_003_4): fresh48(X, X, Y, Z, W, V, U) = equiv(Z, W, V, U).
% 1.32/0.61 Axiom 23 (rdfs_cext_def): fresh4(iext(uri_rdf_type, X, Y), true, X, Y) = icext(Y, X).
% 1.32/0.61 Axiom 24 (owl_restrict_hasvalue_1): fresh13(X, X, Y, Z, W, V) = fresh14(iext(uri_owl_hasValue, Y, W), true, Z, W, V).
% 1.32/0.61 Axiom 25 (owl_bool_intersectionof_class_003_10): fresh10(equiv(X, Y, Z, W), true, Y, W) = icext(Y, W).
% 1.32/0.61 Axiom 26 (owl_bool_intersectionof_class_003_11): fresh9(equiv(X, Y, Z, W), true, Z, W) = icext(Z, W).
% 1.32/0.61 Axiom 27 (owl_bool_intersectionof_class_003_4): fresh49(X, X, Y, Z, W, V, U, T) = fresh50(iext(uri_rdf_first, Y, Z), true, Z, V, U, T).
% 1.32/0.61 Axiom 28 (owl_restrict_hasvalue_1): fresh13(icext(X, Y), true, X, Z, W, Y) = fresh5(iext(uri_owl_onProperty, X, Z), true, X, Z, W, Y).
% 1.32/0.61 Axiom 29 (rdfs_domain_main): fresh2(iext(uri_rdfs_domain, X, Y), true, X, Y, Z, W) = fresh(iext(X, Z, W), true, Y, Z).
% 1.32/0.61 Axiom 30 (owl_bool_intersectionof_class_003_4): fresh47(X, X, Y, Z, W, V, U, T, S) = fresh48(iext(uri_rdf_first, W, V), true, Y, Z, V, T, S).
% 1.32/0.61 Axiom 31 (owl_bool_intersectionof_class_003_4): fresh46(X, X, Y, Z, W, V, U, T, S) = fresh49(iext(uri_rdf_first, U, T), true, Y, Z, W, V, T, S).
% 1.32/0.61 Axiom 32 (owl_bool_intersectionof_class_003_4): fresh45(X, X, Y, Z, W, V, U, T, S) = fresh47(iext(uri_rdf_rest, Y, W), true, Y, Z, W, V, U, T, S).
% 1.32/0.61 Axiom 33 (owl_bool_intersectionof_class_003_4): fresh44(X, X, Y, Z, W, V, U, T, S) = fresh46(iext(uri_rdf_rest, W, U), true, Y, Z, W, V, U, T, S).
% 1.32/0.61 Axiom 34 (owl_bool_intersectionof_class_003_4): fresh43(X, X, Y, Z, W, V, U, T, S, X2) = fresh45(iext(uri_rdf_rest, T, uri_rdf_nil), true, Z, W, V, U, T, S, X2).
% 1.32/0.61 Axiom 35 (owl_bool_intersectionof_class_003_4): fresh43(icext(X, Y), true, X, Z, W, V, U, T, S, Y) = fresh44(iext(uri_owl_intersectionOf, X, Z), true, Z, W, V, U, T, S, Y).
% 1.32/0.61
% 1.32/0.61 Lemma 36: equiv(uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name) = true.
% 1.32/0.61 Proof:
% 1.32/0.61 equiv(uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.61 = { by axiom 22 (owl_bool_intersectionof_class_003_4) R->L }
% 1.32/0.61 fresh48(true, true, bnode_l1, uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.61 = { by axiom 5 (testcase_premise_fullish_012_Template_Class_3) R->L }
% 1.32/0.61 fresh48(iext(uri_rdf_first, bnode_l2, uri_owl_FunctionalProperty), true, bnode_l1, uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.61 = { by axiom 30 (owl_bool_intersectionof_class_003_4) R->L }
% 1.32/0.61 fresh47(true, true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.61 = { by axiom 9 (testcase_premise_fullish_012_Template_Class_7) R->L }
% 1.32/0.61 fresh47(iext(uri_rdf_rest, bnode_l1, bnode_l2), true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.61 = { by axiom 32 (owl_bool_intersectionof_class_003_4) R->L }
% 1.32/0.62 fresh45(true, true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 10 (testcase_premise_fullish_012_Template_Class_8) R->L }
% 1.32/0.62 fresh45(iext(uri_rdf_rest, bnode_l3, uri_rdf_nil), true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 34 (owl_bool_intersectionof_class_003_4) R->L }
% 1.32/0.62 fresh43(true, true, uri_ex_PersonAttribute, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 14 (rdfs_cext_def) R->L }
% 1.32/0.62 fresh43(fresh4(true, true, uri_ex_name, uri_ex_PersonAttribute), true, uri_ex_PersonAttribute, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 3 (testcase_premise_fullish_012_Template_Class) R->L }
% 1.32/0.62 fresh43(fresh4(iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute), true, uri_ex_name, uri_ex_PersonAttribute), true, uri_ex_PersonAttribute, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 23 (rdfs_cext_def) }
% 1.32/0.62 fresh43(icext(uri_ex_PersonAttribute, uri_ex_name), true, uri_ex_PersonAttribute, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 35 (owl_bool_intersectionof_class_003_4) }
% 1.32/0.62 fresh44(iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, bnode_l1), true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 4 (testcase_premise_fullish_012_Template_Class_9) }
% 1.32/0.62 fresh44(true, true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 33 (owl_bool_intersectionof_class_003_4) }
% 1.32/0.62 fresh46(iext(uri_rdf_rest, bnode_l2, bnode_l3), true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 8 (testcase_premise_fullish_012_Template_Class_6) }
% 1.32/0.62 fresh46(true, true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_l3, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 31 (owl_bool_intersectionof_class_003_4) }
% 1.32/0.62 fresh49(iext(uri_rdf_first, bnode_l3, bnode_r), true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 7 (testcase_premise_fullish_012_Template_Class_5) }
% 1.32/0.62 fresh49(true, true, bnode_l1, uri_owl_DatatypeProperty, bnode_l2, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 27 (owl_bool_intersectionof_class_003_4) }
% 1.32/0.62 fresh50(iext(uri_rdf_first, bnode_l1, uri_owl_DatatypeProperty), true, uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 6 (testcase_premise_fullish_012_Template_Class_4) }
% 1.32/0.62 fresh50(true, true, uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name)
% 1.32/0.62 = { by axiom 18 (owl_bool_intersectionof_class_003_4) }
% 1.32/0.62 true
% 1.32/0.62
% 1.32/0.62 Goal 1 (testcase_conclusion_fullish_012_Template_Class): tuple(iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person)) = tuple(true, true).
% 1.32/0.62 Proof:
% 1.32/0.62 tuple(iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 20 (rdfs_cext_def_1) R->L }
% 1.32/0.62 tuple(fresh3(icext(uri_owl_FunctionalProperty, uri_ex_name), true, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 25 (owl_bool_intersectionof_class_003_10) R->L }
% 1.32/0.62 tuple(fresh3(fresh10(equiv(uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name), true, uri_owl_FunctionalProperty, uri_ex_name), true, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by lemma 36 }
% 1.32/0.62 tuple(fresh3(fresh10(true, true, uri_owl_FunctionalProperty, uri_ex_name), true, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 12 (owl_bool_intersectionof_class_003_10) }
% 1.32/0.62 tuple(fresh3(true, true, uri_ex_name, uri_owl_FunctionalProperty), iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 15 (rdfs_cext_def_1) }
% 1.32/0.62 tuple(true, iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 20 (rdfs_cext_def_1) R->L }
% 1.32/0.62 tuple(true, fresh3(icext(uri_foaf_Person, uri_ex_alice), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 21 (rdfs_domain_main) R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(true, true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 17 (owl_restrict_hasvalue_1) R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh14(true, true, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 1 (testcase_premise_fullish_012_Template_Class_10) R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh14(iext(uri_owl_hasValue, bnode_r, uri_foaf_Person), true, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 24 (owl_restrict_hasvalue_1) R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh13(true, true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 13 (owl_bool_intersectionof_class_003_11) R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh13(fresh9(true, true, bnode_r, uri_ex_name), true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by lemma 36 R->L }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh13(fresh9(equiv(uri_owl_DatatypeProperty, uri_owl_FunctionalProperty, bnode_r, uri_ex_name), true, bnode_r, uri_ex_name), true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 26 (owl_bool_intersectionof_class_003_11) }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh13(icext(bnode_r, uri_ex_name), true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 28 (owl_restrict_hasvalue_1) }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh5(iext(uri_owl_onProperty, bnode_r, uri_rdfs_domain), true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 2 (testcase_premise_fullish_012_Template_Class_11) }
% 1.32/0.62 tuple(true, fresh3(fresh2(fresh5(true, true, bnode_r, uri_rdfs_domain, uri_foaf_Person, uri_ex_name), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 19 (owl_restrict_hasvalue_1) }
% 1.32/0.62 tuple(true, fresh3(fresh2(iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person), true, uri_ex_name, uri_foaf_Person, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 29 (rdfs_domain_main) }
% 1.32/0.62 tuple(true, fresh3(fresh(iext(uri_ex_name, uri_ex_alice, literal_plain(dat_str_alice)), true, uri_foaf_Person, uri_ex_alice), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 16 (testcase_premise_fullish_012_Template_Class_12) }
% 1.32/0.62 tuple(true, fresh3(fresh(true, true, uri_foaf_Person, uri_ex_alice), true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 11 (rdfs_domain_main) }
% 1.32/0.62 tuple(true, fresh3(true, true, uri_ex_alice, uri_foaf_Person))
% 1.32/0.62 = { by axiom 15 (rdfs_cext_def_1) }
% 1.32/0.62 tuple(true, true)
% 1.32/0.62 % SZS output end Proof
% 1.32/0.62
% 1.32/0.62 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------