TPTP Problem File: SWB013-10.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWB013-10 : TPTP v8.2.0. Released v7.3.0.
% Domain : Puzzles
% Problem : Cliques
% Version : Especial.
% English :
% Refs : [CS18] Claessen & Smallbone (2018), Efficient Encodings of Fi
% : [Sma18] Smallbone (2018), Email to Geoff Sutcliffe
% Source : [Sma18]
% Names :
% Status : Satisfiable
% Rating : 0.11 v8.2.0, 0.00 v7.5.0, 0.25 v7.3.0
% Syntax : Number of clauses : 110 ( 110 unt; 0 nHn; 81 RR)
% Number of literals : 110 ( 110 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 60 ( 60 usr; 53 con; 0-4 aty)
% Number of variables : 54 ( 10 sgn)
% SPC : CNF_SAT_RFO_PEQ_UEQ
% Comments : Converted from SWB013+4 to UEQ using [CS18].
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(A,A,B,C) = B ).
cnf(simple_iext_property,axiom,
ifeq(iext(P,S,O),true,ip(P),true) = true ).
cnf(simple_ir,axiom,
ir(X) = true ).
cnf(simple_lv,axiom,
ifeq(lv(X),true,ir(X),true) = true ).
cnf(rdf_collection_first_type,axiom,
iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) = true ).
cnf(rdf_collection_nil_type,axiom,
iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List) = true ).
cnf(rdf_collection_rest_type,axiom,
iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property) = true ).
cnf(rdf_container_n_type_001,axiom,
iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property) = true ).
cnf(rdf_container_n_type_002,axiom,
iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property) = true ).
cnf(rdf_container_n_type_003,axiom,
iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property) = true ).
cnf(rdf_reification_object_type,axiom,
iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property) = true ).
cnf(rdf_reification_predicate_type,axiom,
iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property) = true ).
cnf(rdf_reification_subject_type,axiom,
iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property) = true ).
cnf(rdf_type_ip_1,axiom,
ifeq(ip(P),true,iext(uri_rdf_type,P,uri_rdf_Property),true) = true ).
cnf(rdf_type_ip,axiom,
ifeq(iext(uri_rdf_type,P,uri_rdf_Property),true,ip(P),true) = true ).
cnf(rdf_type_type,axiom,
iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) = true ).
cnf(rdf_value_type,axiom,
iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property) = true ).
cnf(rdfs_annotation_comment_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource) = true ).
cnf(rdfs_annotation_comment_range,axiom,
iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal) = true ).
cnf(rdfs_annotation_isdefinedby_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource) = true ).
cnf(rdfs_annotation_isdefinedby_range,axiom,
iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource) = true ).
cnf(rdfs_annotation_isdefinedby_sub,axiom,
iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso) = true ).
cnf(rdfs_annotation_label_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource) = true ).
cnf(rdfs_annotation_label_range,axiom,
iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal) = true ).
cnf(rdfs_annotation_seealso_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource) = true ).
cnf(rdfs_annotation_seealso_range,axiom,
iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource) = true ).
cnf(rdfs_cext_def_1,axiom,
ifeq(icext(C,X),true,iext(uri_rdf_type,X,C),true) = true ).
cnf(rdfs_cext_def,axiom,
ifeq(iext(uri_rdf_type,X,C),true,icext(C,X),true) = true ).
cnf(rdfs_class_instsub_resource,axiom,
ifeq(ic(C),true,iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource),true) = true ).
cnf(rdfs_collection_first_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List) = true ).
cnf(rdfs_collection_first_range,axiom,
iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource) = true ).
cnf(rdfs_collection_rest_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List) = true ).
cnf(rdfs_collection_rest_range,axiom,
iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List) = true ).
cnf(rdfs_container_alt_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container) = true ).
cnf(rdfs_container_bag_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container) = true ).
cnf(rdfs_container_containermembershipproperty_instsub_member,axiom,
ifeq(icext(uri_rdfs_ContainerMembershipProperty,P),true,iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member),true) = true ).
cnf(rdfs_container_containermembershipproperty_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property) = true ).
cnf(rdfs_container_member_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource) = true ).
cnf(rdfs_container_member_range,axiom,
iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_domain_001,axiom,
iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_domain_002,axiom,
iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_domain_003,axiom,
iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_range_001,axiom,
iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_range_002,axiom,
iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_range_003,axiom,
iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource) = true ).
cnf(rdfs_container_n_type_001,axiom,
iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty) = true ).
cnf(rdfs_container_n_type_002,axiom,
iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty) = true ).
cnf(rdfs_container_n_type_003,axiom,
iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty) = true ).
cnf(rdfs_container_seq_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container) = true ).
cnf(rdfs_dat_xmlliteral_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal) = true ).
cnf(rdfs_dat_xmlliteral_type,axiom,
iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype) = true ).
cnf(rdfs_datatype_instsub_literal,axiom,
ifeq(icext(uri_rdfs_Datatype,D),true,iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal),true) = true ).
cnf(rdfs_datatype_sub,axiom,
iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class) = true ).
cnf(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) = true ).
cnf(rdfs_domain_main,axiom,
ifeq(iext(uri_rdfs_domain,P,C),true,ifeq(iext(P,X,Y),true,icext(C,X),true),true) = true ).
cnf(rdfs_domain_range,axiom,
iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class) = true ).
cnf(rdfs_ic_def_1,axiom,
ifeq(ic(X),true,icext(uri_rdfs_Class,X),true) = true ).
cnf(rdfs_ic_def,axiom,
ifeq(icext(uri_rdfs_Class,X),true,ic(X),true) = true ).
cnf(rdfs_ir_def_1,axiom,
ifeq(icext(uri_rdfs_Resource,X),true,ir(X),true) = true ).
cnf(rdfs_ir_def,axiom,
ifeq(ir(X),true,icext(uri_rdfs_Resource,X),true) = true ).
cnf(rdfs_lv_def_1,axiom,
ifeq(icext(uri_rdfs_Literal,X),true,lv(X),true) = true ).
cnf(rdfs_lv_def,axiom,
ifeq(lv(X),true,icext(uri_rdfs_Literal,X),true) = true ).
cnf(rdfs_property_type,axiom,
iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class) = true ).
cnf(rdfs_range_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property) = true ).
cnf(rdfs_range_main,axiom,
ifeq(iext(uri_rdfs_range,P,C),true,ifeq(iext(P,X,Y),true,icext(C,Y),true),true) = true ).
cnf(rdfs_range_range,axiom,
iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class) = true ).
cnf(rdfs_reification_object_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement) = true ).
cnf(rdfs_reification_object_range,axiom,
iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) = true ).
cnf(rdfs_reification_predicate_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement) = true ).
cnf(rdfs_reification_predicate_range,axiom,
iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource) = true ).
cnf(rdfs_reification_subject_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement) = true ).
cnf(rdfs_reification_subject_range,axiom,
iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource) = true ).
cnf(rdfs_subclassof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) = true ).
cnf(rdfs_subclassof_main_2,axiom,
ifeq(icext(C,X),true,ifeq(iext(uri_rdfs_subClassOf,C,D),true,icext(D,X),true),true) = true ).
cnf(rdfs_subclassof_main_1,axiom,
ifeq(iext(uri_rdfs_subClassOf,C,D),true,ic(D),true) = true ).
cnf(rdfs_subclassof_main,axiom,
ifeq(iext(uri_rdfs_subClassOf,C,D),true,ic(C),true) = true ).
cnf(rdfs_subclassof_range,axiom,
iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class) = true ).
cnf(rdfs_subclassof_reflex,axiom,
ifeq(ic(C),true,iext(uri_rdfs_subClassOf,C,C),true) = true ).
cnf(rdfs_subclassof_trans,axiom,
ifeq(iext(uri_rdfs_subClassOf,D,E),true,ifeq(iext(uri_rdfs_subClassOf,C,D),true,iext(uri_rdfs_subClassOf,C,E),true),true) = true ).
cnf(rdfs_subpropertyof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property) = true ).
cnf(rdfs_subpropertyof_main_2,axiom,
ifeq(iext(uri_rdfs_subPropertyOf,P,Q),true,ip(Q),true) = true ).
cnf(rdfs_subpropertyof_main_1,axiom,
ifeq(iext(uri_rdfs_subPropertyOf,P,Q),true,ip(P),true) = true ).
cnf(rdfs_subpropertyof_main,axiom,
ifeq(iext(uri_rdfs_subPropertyOf,P,Q),true,ifeq(iext(P,X,Y),true,iext(Q,X,Y),true),true) = true ).
cnf(rdfs_subpropertyof_range,axiom,
iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property) = true ).
cnf(rdfs_subpropertyof_reflex,axiom,
ifeq(ip(P),true,iext(uri_rdfs_subPropertyOf,P,P),true) = true ).
cnf(rdfs_subpropertyof_trans,axiom,
ifeq(iext(uri_rdfs_subPropertyOf,Q,R),true,ifeq(iext(uri_rdfs_subPropertyOf,P,Q),true,iext(uri_rdfs_subPropertyOf,P,R),true),true) = true ).
cnf(rdfs_type_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource) = true ).
cnf(rdfs_type_range,axiom,
iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class) = true ).
cnf(rdfs_value_domain,axiom,
iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource) = true ).
cnf(rdfs_value_range,axiom,
iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource) = true ).
cnf(testcase_premise_fullish_013_Cliques_18,axiom,
iext(uri_owl_inverseOf,sK3_testcase_premise_fullish_013_Cliques_BNODE_i,uri_rdf_type) = true ).
cnf(testcase_premise_fullish_013_Cliques_17,axiom,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK1_testcase_premise_fullish_013_Cliques_BNODE_l1) = true ).
cnf(testcase_premise_fullish_013_Cliques_16,axiom,
iext(uri_owl_someValuesFrom,sK5_testcase_premise_fullish_013_Cliques_BNODE_r,uri_ex_Clique) = true ).
cnf(testcase_premise_fullish_013_Cliques_15,axiom,
iext(uri_owl_onProperty,sK5_testcase_premise_fullish_013_Cliques_BNODE_r,uri_ex_sameCliqueAs) = true ).
cnf(testcase_premise_fullish_013_Cliques_14,axiom,
iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) = true ).
cnf(testcase_premise_fullish_013_Cliques_13,axiom,
iext(uri_rdf_rest,sK1_testcase_premise_fullish_013_Cliques_BNODE_l1,sK2_testcase_premise_fullish_013_Cliques_BNODE_l2) = true ).
cnf(testcase_premise_fullish_013_Cliques_12,axiom,
iext(uri_rdf_rest,sK2_testcase_premise_fullish_013_Cliques_BNODE_l2,sK4_testcase_premise_fullish_013_Cliques_BNODE_l3) = true ).
cnf(testcase_premise_fullish_013_Cliques_11,axiom,
iext(uri_rdf_rest,sK4_testcase_premise_fullish_013_Cliques_BNODE_l3,uri_rdf_nil) = true ).
cnf(testcase_premise_fullish_013_Cliques_10,axiom,
iext(uri_rdf_first,sK1_testcase_premise_fullish_013_Cliques_BNODE_l1,uri_rdf_type) = true ).
cnf(testcase_premise_fullish_013_Cliques_9,axiom,
iext(uri_rdf_first,sK2_testcase_premise_fullish_013_Cliques_BNODE_l2,uri_ex_sameCliqueAs) = true ).
cnf(testcase_premise_fullish_013_Cliques_8,axiom,
iext(uri_rdf_first,sK4_testcase_premise_fullish_013_Cliques_BNODE_l3,sK3_testcase_premise_fullish_013_Cliques_BNODE_i) = true ).
cnf(testcase_premise_fullish_013_Cliques_7,axiom,
iext(uri_rdf_type,sK5_testcase_premise_fullish_013_Cliques_BNODE_r,uri_owl_Restriction) = true ).
cnf(testcase_premise_fullish_013_Cliques_6,axiom,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) = true ).
cnf(testcase_premise_fullish_013_Cliques_5,axiom,
iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class) = true ).
cnf(testcase_premise_fullish_013_Cliques_4,axiom,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) = true ).
cnf(testcase_premise_fullish_013_Cliques_3,axiom,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) = true ).
cnf(testcase_premise_fullish_013_Cliques_2,axiom,
iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) = true ).
cnf(testcase_premise_fullish_013_Cliques_1,axiom,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) = true ).
cnf(testcase_premise_fullish_013_Cliques,axiom,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK5_testcase_premise_fullish_013_Cliques_BNODE_r) = true ).
cnf(testcase_conclusion_fullish_013_Cliques,negated_conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) != true ).
%------------------------------------------------------------------------------