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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWB001+4 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 : Thu Sep 24 09:00:51 AM UTC 2026

% Result   : Theorem 0.14s 5.43s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(simple_iext_property,axiom,
    ! [S,P,O] :
      ( iext(P,S,O)
     => ip(P) ),
    file('SWB003+0.ax',simple_iext_property) ).

fof(simple_ir,axiom,
    ! [X] : ir(X),
    file('SWB003+0.ax',simple_ir) ).

fof(simple_lv,axiom,
    ! [X] :
      ( lv(X)
     => ir(X) ),
    file('SWB003+0.ax',simple_lv) ).

fof(rdf_collection_first_type,axiom,
    iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property),
    file('SWB003+0.ax',rdf_collection_first_type) ).

fof(rdf_collection_nil_type,axiom,
    iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List),
    file('SWB003+0.ax',rdf_collection_nil_type) ).

fof(rdf_collection_rest_type,axiom,
    iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property),
    file('SWB003+0.ax',rdf_collection_rest_type) ).

fof(rdf_container_n_type_001,axiom,
    iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property),
    file('SWB003+0.ax',rdf_container_n_type_001) ).

fof(rdf_container_n_type_002,axiom,
    iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property),
    file('SWB003+0.ax',rdf_container_n_type_002) ).

fof(rdf_container_n_type_003,axiom,
    iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property),
    file('SWB003+0.ax',rdf_container_n_type_003) ).

fof(rdf_reification_object_type,axiom,
    iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property),
    file('SWB003+0.ax',rdf_reification_object_type) ).

fof(rdf_reification_predicate_type,axiom,
    iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property),
    file('SWB003+0.ax',rdf_reification_predicate_type) ).

fof(rdf_reification_subject_type,axiom,
    iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property),
    file('SWB003+0.ax',rdf_reification_subject_type) ).

fof(rdf_type_ip,axiom,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('SWB003+0.ax',rdf_type_ip) ).

fof(rdf_type_type,axiom,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    file('SWB003+0.ax',rdf_type_type) ).

fof(rdf_value_type,axiom,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    file('SWB003+0.ax',rdf_value_type) ).

fof(rdfs_annotation_comment_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_comment_domain) ).

fof(rdfs_annotation_comment_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal),
    file('SWB003+0.ax',rdfs_annotation_comment_range) ).

fof(rdfs_annotation_isdefinedby_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_isdefinedby_domain) ).

fof(rdfs_annotation_isdefinedby_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_isdefinedby_range) ).

fof(rdfs_annotation_isdefinedby_sub,axiom,
    iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso),
    file('SWB003+0.ax',rdfs_annotation_isdefinedby_sub) ).

fof(rdfs_annotation_label_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_label_domain) ).

fof(rdfs_annotation_label_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal),
    file('SWB003+0.ax',rdfs_annotation_label_range) ).

fof(rdfs_annotation_seealso_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_seealso_domain) ).

fof(rdfs_annotation_seealso_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_annotation_seealso_range) ).

fof(rdfs_cext_def,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('SWB003+0.ax',rdfs_cext_def) ).

fof(rdfs_class_instsub_resource,axiom,
    ! [C] :
      ( ic(C)
     => iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource) ),
    file('SWB003+0.ax',rdfs_class_instsub_resource) ).

fof(rdfs_collection_first_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List),
    file('SWB003+0.ax',rdfs_collection_first_domain) ).

fof(rdfs_collection_first_range,axiom,
    iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_collection_first_range) ).

fof(rdfs_collection_rest_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List),
    file('SWB003+0.ax',rdfs_collection_rest_domain) ).

fof(rdfs_collection_rest_range,axiom,
    iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List),
    file('SWB003+0.ax',rdfs_collection_rest_range) ).

fof(rdfs_container_alt_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container),
    file('SWB003+0.ax',rdfs_container_alt_sub) ).

fof(rdfs_container_bag_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container),
    file('SWB003+0.ax',rdfs_container_bag_sub) ).

fof(rdfs_container_containermembershipproperty_instsub_member,axiom,
    ! [P] :
      ( icext(uri_rdfs_ContainerMembershipProperty,P)
     => iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member) ),
    file('SWB003+0.ax',rdfs_container_containermembershipproperty_instsub_member) ).

fof(rdfs_container_containermembershipproperty_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property),
    file('SWB003+0.ax',rdfs_container_containermembershipproperty_sub) ).

fof(rdfs_container_member_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_member_domain) ).

fof(rdfs_container_member_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_member_range) ).

fof(rdfs_container_n_domain_001,axiom,
    iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_domain_001) ).

fof(rdfs_container_n_domain_002,axiom,
    iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_domain_002) ).

fof(rdfs_container_n_domain_003,axiom,
    iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_domain_003) ).

fof(rdfs_container_n_range_001,axiom,
    iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_range_001) ).

fof(rdfs_container_n_range_002,axiom,
    iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_range_002) ).

fof(rdfs_container_n_range_003,axiom,
    iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_container_n_range_003) ).

fof(rdfs_container_n_type_001,axiom,
    iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty),
    file('SWB003+0.ax',rdfs_container_n_type_001) ).

fof(rdfs_container_n_type_002,axiom,
    iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty),
    file('SWB003+0.ax',rdfs_container_n_type_002) ).

fof(rdfs_container_n_type_003,axiom,
    iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty),
    file('SWB003+0.ax',rdfs_container_n_type_003) ).

fof(rdfs_container_seq_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container),
    file('SWB003+0.ax',rdfs_container_seq_sub) ).

fof(rdfs_dat_xmlliteral_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal),
    file('SWB003+0.ax',rdfs_dat_xmlliteral_sub) ).

fof(rdfs_dat_xmlliteral_type,axiom,
    iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype),
    file('SWB003+0.ax',rdfs_dat_xmlliteral_type) ).

fof(rdfs_datatype_instsub_literal,axiom,
    ! [D] :
      ( icext(uri_rdfs_Datatype,D)
     => iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal) ),
    file('SWB003+0.ax',rdfs_datatype_instsub_literal) ).

fof(rdfs_datatype_sub,axiom,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_datatype_sub) ).

fof(rdfs_domain_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('SWB003+0.ax',rdfs_domain_domain) ).

fof(rdfs_domain_main,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('SWB003+0.ax',rdfs_domain_main) ).

fof(rdfs_domain_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_domain_range) ).

fof(rdfs_ic_def,axiom,
    ! [X] :
      ( ic(X)
    <=> icext(uri_rdfs_Class,X) ),
    file('SWB003+0.ax',rdfs_ic_def) ).

fof(rdfs_ir_def,axiom,
    ! [X] :
      ( ir(X)
    <=> icext(uri_rdfs_Resource,X) ),
    file('SWB003+0.ax',rdfs_ir_def) ).

fof(rdfs_lv_def,axiom,
    ! [X] :
      ( lv(X)
    <=> icext(uri_rdfs_Literal,X) ),
    file('SWB003+0.ax',rdfs_lv_def) ).

fof(rdfs_property_type,axiom,
    iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_property_type) ).

fof(rdfs_range_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property),
    file('SWB003+0.ax',rdfs_range_domain) ).

fof(rdfs_range_main,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_range,P,C) )
     => icext(C,Y) ),
    file('SWB003+0.ax',rdfs_range_main) ).

fof(rdfs_range_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_range_range) ).

fof(rdfs_reification_object_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement),
    file('SWB003+0.ax',rdfs_reification_object_domain) ).

fof(rdfs_reification_object_range,axiom,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_reification_object_range) ).

fof(rdfs_reification_predicate_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement),
    file('SWB003+0.ax',rdfs_reification_predicate_domain) ).

fof(rdfs_reification_predicate_range,axiom,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_reification_predicate_range) ).

fof(rdfs_reification_subject_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement),
    file('SWB003+0.ax',rdfs_reification_subject_domain) ).

fof(rdfs_reification_subject_range,axiom,
    iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_reification_subject_range) ).

fof(rdfs_subclassof_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_subclassof_domain) ).

fof(rdfs_subclassof_main,axiom,
    ! [C,D] :
      ( iext(uri_rdfs_subClassOf,C,D)
     => ( ! [X] :
            ( icext(C,X)
           => icext(D,X) )
        & ic(D)
        & ic(C) ) ),
    file('SWB003+0.ax',rdfs_subclassof_main) ).

fof(rdfs_subclassof_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_subclassof_range) ).

fof(rdfs_subclassof_reflex,axiom,
    ! [C] :
      ( ic(C)
     => iext(uri_rdfs_subClassOf,C,C) ),
    file('SWB003+0.ax',rdfs_subclassof_reflex) ).

fof(rdfs_subclassof_trans,axiom,
    ! [C,D,E] :
      ( ( iext(uri_rdfs_subClassOf,D,E)
        & iext(uri_rdfs_subClassOf,C,D) )
     => iext(uri_rdfs_subClassOf,C,E) ),
    file('SWB003+0.ax',rdfs_subclassof_trans) ).

fof(rdfs_subpropertyof_domain,axiom,
    iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property),
    file('SWB003+0.ax',rdfs_subpropertyof_domain) ).

fof(rdfs_subpropertyof_main,axiom,
    ! [P,Q] :
      ( iext(uri_rdfs_subPropertyOf,P,Q)
     => ( ! [X,Y] :
            ( iext(P,X,Y)
           => iext(Q,X,Y) )
        & ip(Q)
        & ip(P) ) ),
    file('SWB003+0.ax',rdfs_subpropertyof_main) ).

fof(rdfs_subpropertyof_range,axiom,
    iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property),
    file('SWB003+0.ax',rdfs_subpropertyof_range) ).

fof(rdfs_subpropertyof_reflex,axiom,
    ! [P] :
      ( ip(P)
     => iext(uri_rdfs_subPropertyOf,P,P) ),
    file('SWB003+0.ax',rdfs_subpropertyof_reflex) ).

fof(rdfs_subpropertyof_trans,axiom,
    ! [P,Q,R] :
      ( ( iext(uri_rdfs_subPropertyOf,Q,R)
        & iext(uri_rdfs_subPropertyOf,P,Q) )
     => iext(uri_rdfs_subPropertyOf,P,R) ),
    file('SWB003+0.ax',rdfs_subpropertyof_trans) ).

fof(rdfs_type_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_type_domain) ).

fof(rdfs_type_range,axiom,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    file('SWB003+0.ax',rdfs_type_range) ).

fof(rdfs_value_domain,axiom,
    iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_value_domain) ).

fof(rdfs_value_range,axiom,
    iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource),
    file('SWB003+0.ax',rdfs_value_range) ).

fof(testcase_conclusion_fullish_001_Subgraph_Entailment,conjecture,
    ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    file('theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).

fof(testcase_premise_fullish_001_Subgraph_Entailment,axiom,
    ( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
    file('theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).

fof(f_1_1,plain,
    ! [S,P,O] :
      ( ip(P)
      | ~ iext(P,S,O) ),
    inference(fof_nnf,[status(thm)],[simple_iext_property]) ).

fof(f_1_2,plain,
    ! [U_2,U_1,U_0] :
      ( ip(U_1)
      | ~ iext(U_1,U_2,U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ! [U_2,U_1] :
      ( ! [U_0] : ~ iext(U_1,U_2,U_0)
      | ip(U_1) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( ~ iext(U_1,U_2,U_0)
    | ip(U_1) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [X] : ir(X),
    inference(fof_nnf,[status(thm)],[simple_ir]) ).

fof(f_2_2,plain,
    ! [U_3] : ir(U_3),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

cnf(f_2_3,plain,
    ir(U_3),
    inference(clausify,[status(thm)],[f_2_2]) ).

fof(f_3_1,plain,
    ! [X] :
      ( ir(X)
      | ~ lv(X) ),
    inference(fof_nnf,[status(thm)],[simple_lv]) ).

fof(f_3_2,plain,
    ! [U_4] :
      ( ir(U_4)
      | ~ lv(U_4) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

cnf(f_3_3,plain,
    ( ir(U_4)
    | ~ lv(U_4) ),
    inference(clausify,[status(thm)],[f_3_2]) ).

fof(f_4_1,plain,
    iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_collection_first_type]) ).

cnf(f_4_2,plain,
    iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_4_1]) ).

fof(f_5_1,plain,
    iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List),
    inference(fof_nnf,[status(thm)],[rdf_collection_nil_type]) ).

cnf(f_5_2,plain,
    iext(uri_rdf_type,uri_rdf_nil,uri_rdf_List),
    inference(clausify,[status(thm)],[f_5_1]) ).

fof(f_6_1,plain,
    iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_collection_rest_type]) ).

cnf(f_6_2,plain,
    iext(uri_rdf_type,uri_rdf_rest,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_6_1]) ).

fof(f_7_1,plain,
    iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_container_n_type_001]) ).

cnf(f_7_2,plain,
    iext(uri_rdf_type,uri_rdf__1,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_7_1]) ).

fof(f_8_1,plain,
    iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_container_n_type_002]) ).

cnf(f_8_2,plain,
    iext(uri_rdf_type,uri_rdf__2,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_8_1]) ).

fof(f_9_1,plain,
    iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_container_n_type_003]) ).

cnf(f_9_2,plain,
    iext(uri_rdf_type,uri_rdf__3,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_9_1]) ).

fof(f_10_1,plain,
    iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_reification_object_type]) ).

cnf(f_10_2,plain,
    iext(uri_rdf_type,uri_rdf_object,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_10_1]) ).

fof(f_11_1,plain,
    iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_reification_predicate_type]) ).

cnf(f_11_2,plain,
    iext(uri_rdf_type,uri_rdf_value,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_11_1]) ).

fof(f_12_1,plain,
    iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_reification_subject_type]) ).

cnf(f_12_2,plain,
    iext(uri_rdf_type,uri_rdf_subject,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_12_1]) ).

fof(f_13_1,plain,
    ! [P] :
      ( ( iext(uri_rdf_type,P,uri_rdf_Property)
        | ~ ip(P) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(fof_nnf,[status(thm)],[rdf_type_ip]) ).

fof(f_13_2,plain,
    ! [U_5] :
      ( ( iext(uri_rdf_type,U_5,uri_rdf_Property)
        | ~ ip(U_5) )
      & ( ip(U_5)
        | ~ iext(uri_rdf_type,U_5,uri_rdf_Property) ) ),
    inference(variable_rename,[status(thm)],[f_13_1]) ).

fof(f_13_3,plain,
    ( ! [U_7] :
        ( iext(uri_rdf_type,U_7,uri_rdf_Property)
        | ~ ip(U_7) )
    & ! [U_6] :
        ( ip(U_6)
        | ~ iext(uri_rdf_type,U_6,uri_rdf_Property) ) ),
    inference(miniscope,[status(thm)],[f_13_2]) ).

cnf(f_13_4,plain,
    ( ip(U_6)
    | ~ iext(uri_rdf_type,U_6,uri_rdf_Property) ),
    inference(clausify,[status(thm)],[f_13_3]) ).

cnf(f_13_5,plain,
    ( iext(uri_rdf_type,U_7,uri_rdf_Property)
    | ~ ip(U_7) ),
    inference(clausify,[status(thm)],[f_13_3]) ).

fof(f_14_1,plain,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_type_type]) ).

cnf(f_14_2,plain,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_14_1]) ).

fof(f_15_1,plain,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdf_value_type]) ).

cnf(f_15_2,plain,
    iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_15_1]) ).

fof(f_16_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_comment_domain]) ).

cnf(f_16_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_comment,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_16_1]) ).

fof(f_17_1,plain,
    iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_comment_range]) ).

cnf(f_17_2,plain,
    iext(uri_rdfs_range,uri_rdfs_comment,uri_rdfs_Literal),
    inference(clausify,[status(thm)],[f_17_1]) ).

fof(f_18_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_isdefinedby_domain]) ).

cnf(f_18_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_18_1]) ).

fof(f_19_1,plain,
    iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_isdefinedby_range]) ).

cnf(f_19_2,plain,
    iext(uri_rdfs_range,uri_rdfs_isDefinedBy,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_19_1]) ).

fof(f_20_1,plain,
    iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_isdefinedby_sub]) ).

cnf(f_20_2,plain,
    iext(uri_rdfs_subPropertyOf,uri_rdfs_isDefinedBy,uri_rdfs_seeAlso),
    inference(clausify,[status(thm)],[f_20_1]) ).

fof(f_21_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_label_domain]) ).

cnf(f_21_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_label,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_21_1]) ).

fof(f_22_1,plain,
    iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_label_range]) ).

cnf(f_22_2,plain,
    iext(uri_rdfs_range,uri_rdfs_label,uri_rdfs_Literal),
    inference(clausify,[status(thm)],[f_22_1]) ).

fof(f_23_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_seealso_domain]) ).

cnf(f_23_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_seeAlso,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_23_1]) ).

fof(f_24_1,plain,
    iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_annotation_seealso_range]) ).

cnf(f_24_2,plain,
    iext(uri_rdfs_range,uri_rdfs_seeAlso,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_24_1]) ).

fof(f_25_1,plain,
    ! [X,C] :
      ( ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).

fof(f_25_2,plain,
    ! [U_9,U_8] :
      ( ( iext(uri_rdf_type,U_9,U_8)
        | ~ icext(U_8,U_9) )
      & ( icext(U_8,U_9)
        | ~ iext(uri_rdf_type,U_9,U_8) ) ),
    inference(variable_rename,[status(thm)],[f_25_1]) ).

fof(f_25_3,plain,
    ( ! [U_13,U_11] :
        ( iext(uri_rdf_type,U_13,U_11)
        | ~ icext(U_11,U_13) )
    & ! [U_12,U_10] :
        ( icext(U_10,U_12)
        | ~ iext(uri_rdf_type,U_12,U_10) ) ),
    inference(miniscope,[status(thm)],[f_25_2]) ).

cnf(f_25_4,plain,
    ( icext(U_10,U_12)
    | ~ iext(uri_rdf_type,U_12,U_10) ),
    inference(clausify,[status(thm)],[f_25_3]) ).

cnf(f_25_5,plain,
    ( iext(uri_rdf_type,U_13,U_11)
    | ~ icext(U_11,U_13) ),
    inference(clausify,[status(thm)],[f_25_3]) ).

fof(f_26_1,plain,
    ! [C] :
      ( iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource)
      | ~ ic(C) ),
    inference(fof_nnf,[status(thm)],[rdfs_class_instsub_resource]) ).

fof(f_26_2,plain,
    ! [U_14] :
      ( iext(uri_rdfs_subClassOf,U_14,uri_rdfs_Resource)
      | ~ ic(U_14) ),
    inference(variable_rename,[status(thm)],[f_26_1]) ).

cnf(f_26_3,plain,
    ( iext(uri_rdfs_subClassOf,U_14,uri_rdfs_Resource)
    | ~ ic(U_14) ),
    inference(clausify,[status(thm)],[f_26_2]) ).

fof(f_27_1,plain,
    iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List),
    inference(fof_nnf,[status(thm)],[rdfs_collection_first_domain]) ).

cnf(f_27_2,plain,
    iext(uri_rdfs_domain,uri_rdf_first,uri_rdf_List),
    inference(clausify,[status(thm)],[f_27_1]) ).

fof(f_28_1,plain,
    iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_collection_first_range]) ).

cnf(f_28_2,plain,
    iext(uri_rdfs_range,uri_rdf_first,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_28_1]) ).

fof(f_29_1,plain,
    iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List),
    inference(fof_nnf,[status(thm)],[rdfs_collection_rest_domain]) ).

cnf(f_29_2,plain,
    iext(uri_rdfs_domain,uri_rdf_rest,uri_rdf_List),
    inference(clausify,[status(thm)],[f_29_1]) ).

fof(f_30_1,plain,
    iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List),
    inference(fof_nnf,[status(thm)],[rdfs_collection_rest_range]) ).

cnf(f_30_2,plain,
    iext(uri_rdfs_range,uri_rdf_rest,uri_rdf_List),
    inference(clausify,[status(thm)],[f_30_1]) ).

fof(f_31_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container),
    inference(fof_nnf,[status(thm)],[rdfs_container_alt_sub]) ).

cnf(f_31_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_Alt,uri_rdfs_Container),
    inference(clausify,[status(thm)],[f_31_1]) ).

fof(f_32_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container),
    inference(fof_nnf,[status(thm)],[rdfs_container_bag_sub]) ).

cnf(f_32_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_Bag,uri_rdfs_Container),
    inference(clausify,[status(thm)],[f_32_1]) ).

fof(f_33_1,plain,
    ! [P] :
      ( iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member)
      | ~ icext(uri_rdfs_ContainerMembershipProperty,P) ),
    inference(fof_nnf,[status(thm)],[rdfs_container_containermembershipproperty_instsub_member]) ).

fof(f_33_2,plain,
    ! [U_15] :
      ( iext(uri_rdfs_subPropertyOf,U_15,uri_rdfs_member)
      | ~ icext(uri_rdfs_ContainerMembershipProperty,U_15) ),
    inference(variable_rename,[status(thm)],[f_33_1]) ).

cnf(f_33_3,plain,
    ( iext(uri_rdfs_subPropertyOf,U_15,uri_rdfs_member)
    | ~ icext(uri_rdfs_ContainerMembershipProperty,U_15) ),
    inference(clausify,[status(thm)],[f_33_2]) ).

fof(f_34_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdfs_container_containermembershipproperty_sub]) ).

cnf(f_34_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_34_1]) ).

fof(f_35_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_member_domain]) ).

cnf(f_35_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_member,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_35_1]) ).

fof(f_36_1,plain,
    iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_member_range]) ).

cnf(f_36_2,plain,
    iext(uri_rdfs_range,uri_rdfs_member,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_36_1]) ).

fof(f_37_1,plain,
    iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_domain_001]) ).

cnf(f_37_2,plain,
    iext(uri_rdfs_domain,uri_rdf__1,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_37_1]) ).

fof(f_38_1,plain,
    iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_domain_002]) ).

cnf(f_38_2,plain,
    iext(uri_rdfs_domain,uri_rdf__2,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_38_1]) ).

fof(f_39_1,plain,
    iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_domain_003]) ).

cnf(f_39_2,plain,
    iext(uri_rdfs_domain,uri_rdf__3,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_39_1]) ).

fof(f_40_1,plain,
    iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_range_001]) ).

cnf(f_40_2,plain,
    iext(uri_rdfs_range,uri_rdf__1,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_40_1]) ).

fof(f_41_1,plain,
    iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_range_002]) ).

cnf(f_41_2,plain,
    iext(uri_rdfs_range,uri_rdf__2,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_41_1]) ).

fof(f_42_1,plain,
    iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_range_003]) ).

cnf(f_42_2,plain,
    iext(uri_rdfs_range,uri_rdf__3,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_42_1]) ).

fof(f_43_1,plain,
    iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_type_001]) ).

cnf(f_43_2,plain,
    iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty),
    inference(clausify,[status(thm)],[f_43_1]) ).

fof(f_44_1,plain,
    iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_type_002]) ).

cnf(f_44_2,plain,
    iext(uri_rdf_type,uri_rdf__2,uri_rdfs_ContainerMembershipProperty),
    inference(clausify,[status(thm)],[f_44_1]) ).

fof(f_45_1,plain,
    iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty),
    inference(fof_nnf,[status(thm)],[rdfs_container_n_type_003]) ).

cnf(f_45_2,plain,
    iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty),
    inference(clausify,[status(thm)],[f_45_1]) ).

fof(f_46_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container),
    inference(fof_nnf,[status(thm)],[rdfs_container_seq_sub]) ).

cnf(f_46_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Seq,uri_rdfs_Container),
    inference(clausify,[status(thm)],[f_46_1]) ).

fof(f_47_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal),
    inference(fof_nnf,[status(thm)],[rdfs_dat_xmlliteral_sub]) ).

cnf(f_47_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdf_XMLLiteral,uri_rdfs_Literal),
    inference(clausify,[status(thm)],[f_47_1]) ).

fof(f_48_1,plain,
    iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype),
    inference(fof_nnf,[status(thm)],[rdfs_dat_xmlliteral_type]) ).

cnf(f_48_2,plain,
    iext(uri_rdf_type,uri_rdf_XMLLiteral,uri_rdfs_Datatype),
    inference(clausify,[status(thm)],[f_48_1]) ).

fof(f_49_1,plain,
    ! [D] :
      ( iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal)
      | ~ icext(uri_rdfs_Datatype,D) ),
    inference(fof_nnf,[status(thm)],[rdfs_datatype_instsub_literal]) ).

fof(f_49_2,plain,
    ! [U_16] :
      ( iext(uri_rdfs_subClassOf,U_16,uri_rdfs_Literal)
      | ~ icext(uri_rdfs_Datatype,U_16) ),
    inference(variable_rename,[status(thm)],[f_49_1]) ).

cnf(f_49_3,plain,
    ( iext(uri_rdfs_subClassOf,U_16,uri_rdfs_Literal)
    | ~ icext(uri_rdfs_Datatype,U_16) ),
    inference(clausify,[status(thm)],[f_49_2]) ).

fof(f_50_1,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_datatype_sub]) ).

cnf(f_50_2,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_50_1]) ).

fof(f_51_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdfs_domain_domain]) ).

cnf(f_51_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_51_1]) ).

fof(f_52_1,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(fof_nnf,[status(thm)],[rdfs_domain_main]) ).

fof(f_52_2,plain,
    ! [U_20,U_19,U_18,U_17] :
      ( icext(U_19,U_18)
      | ~ iext(U_20,U_18,U_17)
      | ~ iext(uri_rdfs_domain,U_20,U_19) ),
    inference(variable_rename,[status(thm)],[f_52_1]) ).

fof(f_52_3,plain,
    ! [U_20,U_19,U_18] :
      ( ! [U_17] : ~ iext(U_20,U_18,U_17)
      | ~ iext(uri_rdfs_domain,U_20,U_19)
      | icext(U_19,U_18) ),
    inference(miniscope,[status(thm)],[f_52_2]) ).

cnf(f_52_4,plain,
    ( ~ iext(U_20,U_18,U_17)
    | ~ iext(uri_rdfs_domain,U_20,U_19)
    | icext(U_19,U_18) ),
    inference(clausify,[status(thm)],[f_52_3]) ).

fof(f_53_1,plain,
    iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_domain_range]) ).

cnf(f_53_2,plain,
    iext(uri_rdfs_range,uri_rdfs_domain,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_53_1]) ).

fof(f_54_1,plain,
    ! [X] :
      ( ( ic(X)
        | ~ icext(uri_rdfs_Class,X) )
      & ( icext(uri_rdfs_Class,X)
        | ~ ic(X) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_ic_def]) ).

fof(f_54_2,plain,
    ! [U_21] :
      ( ( ic(U_21)
        | ~ icext(uri_rdfs_Class,U_21) )
      & ( icext(uri_rdfs_Class,U_21)
        | ~ ic(U_21) ) ),
    inference(variable_rename,[status(thm)],[f_54_1]) ).

fof(f_54_3,plain,
    ( ! [U_23] :
        ( ic(U_23)
        | ~ icext(uri_rdfs_Class,U_23) )
    & ! [U_22] :
        ( icext(uri_rdfs_Class,U_22)
        | ~ ic(U_22) ) ),
    inference(miniscope,[status(thm)],[f_54_2]) ).

cnf(f_54_4,plain,
    ( icext(uri_rdfs_Class,U_22)
    | ~ ic(U_22) ),
    inference(clausify,[status(thm)],[f_54_3]) ).

cnf(f_54_5,plain,
    ( ic(U_23)
    | ~ icext(uri_rdfs_Class,U_23) ),
    inference(clausify,[status(thm)],[f_54_3]) ).

fof(f_55_1,plain,
    ! [X] :
      ( ( ir(X)
        | ~ icext(uri_rdfs_Resource,X) )
      & ( icext(uri_rdfs_Resource,X)
        | ~ ir(X) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_ir_def]) ).

fof(f_55_2,plain,
    ! [U_24] :
      ( ( ir(U_24)
        | ~ icext(uri_rdfs_Resource,U_24) )
      & ( icext(uri_rdfs_Resource,U_24)
        | ~ ir(U_24) ) ),
    inference(variable_rename,[status(thm)],[f_55_1]) ).

fof(f_55_3,plain,
    ( ! [U_26] :
        ( ir(U_26)
        | ~ icext(uri_rdfs_Resource,U_26) )
    & ! [U_25] :
        ( icext(uri_rdfs_Resource,U_25)
        | ~ ir(U_25) ) ),
    inference(miniscope,[status(thm)],[f_55_2]) ).

cnf(f_55_4,plain,
    ( icext(uri_rdfs_Resource,U_25)
    | ~ ir(U_25) ),
    inference(clausify,[status(thm)],[f_55_3]) ).

cnf(f_55_5,plain,
    ( ir(U_26)
    | ~ icext(uri_rdfs_Resource,U_26) ),
    inference(clausify,[status(thm)],[f_55_3]) ).

fof(f_56_1,plain,
    ! [X] :
      ( ( lv(X)
        | ~ icext(uri_rdfs_Literal,X) )
      & ( icext(uri_rdfs_Literal,X)
        | ~ lv(X) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_lv_def]) ).

fof(f_56_2,plain,
    ! [U_27] :
      ( ( lv(U_27)
        | ~ icext(uri_rdfs_Literal,U_27) )
      & ( icext(uri_rdfs_Literal,U_27)
        | ~ lv(U_27) ) ),
    inference(variable_rename,[status(thm)],[f_56_1]) ).

fof(f_56_3,plain,
    ( ! [U_29] :
        ( lv(U_29)
        | ~ icext(uri_rdfs_Literal,U_29) )
    & ! [U_28] :
        ( icext(uri_rdfs_Literal,U_28)
        | ~ lv(U_28) ) ),
    inference(miniscope,[status(thm)],[f_56_2]) ).

cnf(f_56_4,plain,
    ( icext(uri_rdfs_Literal,U_28)
    | ~ lv(U_28) ),
    inference(clausify,[status(thm)],[f_56_3]) ).

cnf(f_56_5,plain,
    ( lv(U_29)
    | ~ icext(uri_rdfs_Literal,U_29) ),
    inference(clausify,[status(thm)],[f_56_3]) ).

fof(f_57_1,plain,
    iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_property_type]) ).

cnf(f_57_2,plain,
    iext(uri_rdf_type,uri_rdf_Property,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_57_1]) ).

fof(f_58_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdfs_range_domain]) ).

cnf(f_58_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_range,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_58_1]) ).

fof(f_59_1,plain,
    ! [P,C,X,Y] :
      ( icext(C,Y)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_range,P,C) ),
    inference(fof_nnf,[status(thm)],[rdfs_range_main]) ).

fof(f_59_2,plain,
    ! [U_33,U_32,U_31,U_30] :
      ( icext(U_32,U_30)
      | ~ iext(U_33,U_31,U_30)
      | ~ iext(uri_rdfs_range,U_33,U_32) ),
    inference(variable_rename,[status(thm)],[f_59_1]) ).

cnf(f_59_3,plain,
    ( icext(U_32,U_30)
    | ~ iext(U_33,U_31,U_30)
    | ~ iext(uri_rdfs_range,U_33,U_32) ),
    inference(clausify,[status(thm)],[f_59_2]) ).

fof(f_60_1,plain,
    iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_range_range]) ).

cnf(f_60_2,plain,
    iext(uri_rdfs_range,uri_rdfs_range,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_60_1]) ).

fof(f_61_1,plain,
    iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement),
    inference(fof_nnf,[status(thm)],[rdfs_reification_object_domain]) ).

cnf(f_61_2,plain,
    iext(uri_rdfs_domain,uri_rdf_object,uri_rdfs_Statement),
    inference(clausify,[status(thm)],[f_61_1]) ).

fof(f_62_1,plain,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_reification_object_range]) ).

cnf(f_62_2,plain,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_62_1]) ).

fof(f_63_1,plain,
    iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement),
    inference(fof_nnf,[status(thm)],[rdfs_reification_predicate_domain]) ).

cnf(f_63_2,plain,
    iext(uri_rdfs_domain,uri_rdf_predicate,uri_rdfs_Statement),
    inference(clausify,[status(thm)],[f_63_1]) ).

fof(f_64_1,plain,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_reification_predicate_range]) ).

cnf(f_64_2,plain,
    iext(uri_rdfs_range,uri_rdf_predicate,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_64_1]) ).

fof(f_65_1,plain,
    iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement),
    inference(fof_nnf,[status(thm)],[rdfs_reification_subject_domain]) ).

cnf(f_65_2,plain,
    iext(uri_rdfs_domain,uri_rdf_subject,uri_rdfs_Statement),
    inference(clausify,[status(thm)],[f_65_1]) ).

fof(f_66_1,plain,
    iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_reification_subject_range]) ).

cnf(f_66_2,plain,
    iext(uri_rdfs_range,uri_rdf_subject,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_66_1]) ).

fof(f_67_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_subclassof_domain]) ).

cnf(f_67_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_67_1]) ).

fof(f_68_1,plain,
    ! [C,D] :
      ( ( ! [X] :
            ( icext(D,X)
            | ~ icext(C,X) )
        & ic(D)
        & ic(C) )
      | ~ iext(uri_rdfs_subClassOf,C,D) ),
    inference(fof_nnf,[status(thm)],[rdfs_subclassof_main]) ).

fof(f_68_2,plain,
    ! [U_36,U_35] :
      ( ( ! [U_34] :
            ( icext(U_35,U_34)
            | ~ icext(U_36,U_34) )
        & ic(U_35)
        & ic(U_36) )
      | ~ iext(uri_rdfs_subClassOf,U_36,U_35) ),
    inference(variable_rename,[status(thm)],[f_68_1]) ).

cnf(f_68_3,plain,
    ( ic(U_36)
    | ~ iext(uri_rdfs_subClassOf,U_36,U_35) ),
    inference(clausify,[status(thm)],[f_68_2]) ).

cnf(f_68_4,plain,
    ( ic(U_35)
    | ~ iext(uri_rdfs_subClassOf,U_36,U_35) ),
    inference(clausify,[status(thm)],[f_68_2]) ).

cnf(f_68_5,plain,
    ( icext(U_35,U_34)
    | ~ icext(U_36,U_34)
    | ~ iext(uri_rdfs_subClassOf,U_36,U_35) ),
    inference(clausify,[status(thm)],[f_68_2]) ).

fof(f_69_1,plain,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_subclassof_range]) ).

cnf(f_69_2,plain,
    iext(uri_rdfs_range,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_69_1]) ).

fof(f_70_1,plain,
    ! [C] :
      ( iext(uri_rdfs_subClassOf,C,C)
      | ~ ic(C) ),
    inference(fof_nnf,[status(thm)],[rdfs_subclassof_reflex]) ).

fof(f_70_2,plain,
    ! [U_37] :
      ( iext(uri_rdfs_subClassOf,U_37,U_37)
      | ~ ic(U_37) ),
    inference(variable_rename,[status(thm)],[f_70_1]) ).

cnf(f_70_3,plain,
    ( iext(uri_rdfs_subClassOf,U_37,U_37)
    | ~ ic(U_37) ),
    inference(clausify,[status(thm)],[f_70_2]) ).

fof(f_71_1,plain,
    ! [C,D,E] :
      ( iext(uri_rdfs_subClassOf,C,E)
      | ~ iext(uri_rdfs_subClassOf,D,E)
      | ~ iext(uri_rdfs_subClassOf,C,D) ),
    inference(fof_nnf,[status(thm)],[rdfs_subclassof_trans]) ).

fof(f_71_2,plain,
    ! [U_40,U_39,U_38] :
      ( iext(uri_rdfs_subClassOf,U_40,U_38)
      | ~ iext(uri_rdfs_subClassOf,U_39,U_38)
      | ~ iext(uri_rdfs_subClassOf,U_40,U_39) ),
    inference(variable_rename,[status(thm)],[f_71_1]) ).

cnf(f_71_3,plain,
    ( iext(uri_rdfs_subClassOf,U_40,U_38)
    | ~ iext(uri_rdfs_subClassOf,U_39,U_38)
    | ~ iext(uri_rdfs_subClassOf,U_40,U_39) ),
    inference(clausify,[status(thm)],[f_71_2]) ).

fof(f_72_1,plain,
    iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_domain]) ).

cnf(f_72_2,plain,
    iext(uri_rdfs_domain,uri_rdfs_subPropertyOf,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_72_1]) ).

fof(f_73_1,plain,
    ! [P,Q] :
      ( ( ! [X,Y] :
            ( iext(Q,X,Y)
            | ~ iext(P,X,Y) )
        & ip(Q)
        & ip(P) )
      | ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
    inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main]) ).

fof(f_73_2,plain,
    ! [U_44,U_43] :
      ( ( ! [U_42,U_41] :
            ( iext(U_43,U_42,U_41)
            | ~ iext(U_44,U_42,U_41) )
        & ip(U_43)
        & ip(U_44) )
      | ~ iext(uri_rdfs_subPropertyOf,U_44,U_43) ),
    inference(variable_rename,[status(thm)],[f_73_1]) ).

cnf(f_73_3,plain,
    ( ip(U_44)
    | ~ iext(uri_rdfs_subPropertyOf,U_44,U_43) ),
    inference(clausify,[status(thm)],[f_73_2]) ).

cnf(f_73_4,plain,
    ( ip(U_43)
    | ~ iext(uri_rdfs_subPropertyOf,U_44,U_43) ),
    inference(clausify,[status(thm)],[f_73_2]) ).

cnf(f_73_5,plain,
    ( iext(U_43,U_42,U_41)
    | ~ iext(U_44,U_42,U_41)
    | ~ iext(uri_rdfs_subPropertyOf,U_44,U_43) ),
    inference(clausify,[status(thm)],[f_73_2]) ).

fof(f_74_1,plain,
    iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property),
    inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_range]) ).

cnf(f_74_2,plain,
    iext(uri_rdfs_range,uri_rdfs_subPropertyOf,uri_rdf_Property),
    inference(clausify,[status(thm)],[f_74_1]) ).

fof(f_75_1,plain,
    ! [P] :
      ( iext(uri_rdfs_subPropertyOf,P,P)
      | ~ ip(P) ),
    inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_reflex]) ).

fof(f_75_2,plain,
    ! [U_45] :
      ( iext(uri_rdfs_subPropertyOf,U_45,U_45)
      | ~ ip(U_45) ),
    inference(variable_rename,[status(thm)],[f_75_1]) ).

cnf(f_75_3,plain,
    ( iext(uri_rdfs_subPropertyOf,U_45,U_45)
    | ~ ip(U_45) ),
    inference(clausify,[status(thm)],[f_75_2]) ).

fof(f_76_1,plain,
    ! [P,Q,R] :
      ( iext(uri_rdfs_subPropertyOf,P,R)
      | ~ iext(uri_rdfs_subPropertyOf,Q,R)
      | ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
    inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_trans]) ).

fof(f_76_2,plain,
    ! [U_48,U_47,U_46] :
      ( iext(uri_rdfs_subPropertyOf,U_48,U_46)
      | ~ iext(uri_rdfs_subPropertyOf,U_47,U_46)
      | ~ iext(uri_rdfs_subPropertyOf,U_48,U_47) ),
    inference(variable_rename,[status(thm)],[f_76_1]) ).

cnf(f_76_3,plain,
    ( iext(uri_rdfs_subPropertyOf,U_48,U_46)
    | ~ iext(uri_rdfs_subPropertyOf,U_47,U_46)
    | ~ iext(uri_rdfs_subPropertyOf,U_48,U_47) ),
    inference(clausify,[status(thm)],[f_76_2]) ).

fof(f_77_1,plain,
    iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_type_domain]) ).

cnf(f_77_2,plain,
    iext(uri_rdfs_domain,uri_rdf_type,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_77_1]) ).

fof(f_78_1,plain,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    inference(fof_nnf,[status(thm)],[rdfs_type_range]) ).

cnf(f_78_2,plain,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    inference(clausify,[status(thm)],[f_78_1]) ).

fof(f_79_1,plain,
    iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_value_domain]) ).

cnf(f_79_2,plain,
    iext(uri_rdfs_domain,uri_rdf_value,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_79_1]) ).

fof(f_80_1,plain,
    iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource),
    inference(fof_nnf,[status(thm)],[rdfs_value_range]) ).

cnf(f_80_2,plain,
    iext(uri_rdfs_range,uri_rdf_value,uri_rdfs_Resource),
    inference(clausify,[status(thm)],[f_80_1]) ).

fof(f_81_1,negated_conjecture,
    ~ ( iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(negate,[status(cth)],[testcase_conclusion_fullish_001_Subgraph_Entailment]) ).

fof(f_81_2,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(fof_nnf,[status(thm)],[f_81_1]) ).

fof(f_81_3,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(definitional_conversion,[status(esa)],[f_81_2]) ).

cnf(f_81_4,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
    inference(clausify,[status(thm)],[f_81_3]) ).

fof(f_82_1,plain,
    ( iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d)
    & iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r) ),
    inference(fof_nnf,[status(thm)],[testcase_premise_fullish_001_Subgraph_Entailment]) ).

cnf(f_82_2,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r),
    inference(clausify,[status(thm)],[f_82_1]) ).

cnf(f_82_3,plain,
    iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
    inference(clausify,[status(thm)],[f_82_1]) ).

cnf(f_82_4,plain,
    iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
    inference(clausify,[status(thm)],[f_82_1]) ).

cnf(f_82_5,plain,
    iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d),
    inference(clausify,[status(thm)],[f_82_1]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB001+4 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37  % Computer : n026.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Sun Sep 20 01:05:57 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.14/5.43  % SZS status Theorem for theBenchmark
% 0.14/5.43  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------