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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWB003+4 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n010.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 : Sun Sep 27 08:50:27 AM UTC 2026

% Result   : Theorem 5.30s 2.72s
% Output   : Refutation 5.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  166 ( 130 unt;   0 typ;   0 def)
%            Number of atoms       :  232 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  671 (   2   ~;   0   |;  21   &; 603   @)
%                                         (   5 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   44 (  43 usr;  37 con; 0-3 aty)
%            Number of variables   :   77 (   0   ^;  74   !;   3   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iext_decl,type,
    iext: $i > $i > $i > $o ).

thf(uri_ex_p_decl,type,
    uri_ex_p: $i ).

thf(uri_ex_s_decl,type,
    uri_ex_s: $i ).

thf(ir_decl,type,
    ir: $i > $o ).

thf(lv_decl,type,
    lv: $i > $o ).

thf(icext_decl,type,
    icext: $i > $i > $o ).

thf(uri_rdfs_Resource_decl,type,
    uri_rdfs_Resource: $i ).

thf(ic_decl,type,
    ic: $i > $o ).

thf(uri_rdfs_Class_decl,type,
    uri_rdfs_Class: $i ).

thf(uri_rdfs_Literal_decl,type,
    uri_rdfs_Literal: $i ).

thf(uri_rdfs_domain_decl,type,
    uri_rdfs_domain: $i ).

thf(uri_rdf_predicate_decl,type,
    uri_rdf_predicate: $i ).

thf(uri_rdfs_Statement_decl,type,
    uri_rdfs_Statement: $i ).

thf(literal_plain_decl,type,
    literal_plain: $i > $i ).

thf(dat_str_foo_decl,type,
    dat_str_foo: $i ).

thf(uri_rdf_first_decl,type,
    uri_rdf_first: $i ).

thf(uri_rdf_List_decl,type,
    uri_rdf_List: $i ).

thf(uri_rdfs_subClassOf_decl,type,
    uri_rdfs_subClassOf: $i ).

thf(uri_rdf_type_decl,type,
    uri_rdf_type: $i ).

thf(uri_rdf_Property_decl,type,
    uri_rdf_Property: $i ).

thf(uri_rdfs_range_decl,type,
    uri_rdfs_range: $i ).

thf(uri_rdf_value_decl,type,
    uri_rdf_value: $i ).

thf(uri_rdf__2_decl,type,
    uri_rdf__2: $i ).

thf(uri_rdfs_seeAlso_decl,type,
    uri_rdfs_seeAlso: $i ).

thf(uri_rdf__1_decl,type,
    uri_rdf__1: $i ).

thf(uri_rdfs_Datatype_decl,type,
    uri_rdfs_Datatype: $i ).

thf(uri_rdfs_comment_decl,type,
    uri_rdfs_comment: $i ).

thf(ip_decl,type,
    ip: $i > $o ).

thf(uri_rdf_XMLLiteral_decl,type,
    uri_rdf_XMLLiteral: $i ).

thf(uri_rdfs_subPropertyOf_decl,type,
    uri_rdfs_subPropertyOf: $i ).

thf(uri_rdf_subject_decl,type,
    uri_rdf_subject: $i ).

thf(uri_rdf_Bag_decl,type,
    uri_rdf_Bag: $i ).

thf(uri_rdfs_Container_decl,type,
    uri_rdfs_Container: $i ).

thf(uri_rdf_nil_decl,type,
    uri_rdf_nil: $i ).

thf(uri_rdf_rest_decl,type,
    uri_rdf_rest: $i ).

thf(uri_rdf_Alt_decl,type,
    uri_rdf_Alt: $i ).

thf(uri_rdfs_isDefinedBy_decl,type,
    uri_rdfs_isDefinedBy: $i ).

thf(uri_rdfs_ContainerMembershipProperty_decl,type,
    uri_rdfs_ContainerMembershipProperty: $i ).

thf(uri_rdfs_member_decl,type,
    uri_rdfs_member: $i ).

thf(uri_rdf_object_decl,type,
    uri_rdf_object: $i ).

thf(uri_rdfs_label_decl,type,
    uri_rdfs_label: $i ).

thf(uri_rdf__3_decl,type,
    uri_rdf__3: $i ).

thf(uri_rdfs_Seq_decl,type,
    uri_rdfs_Seq: $i ).

thf(34,axiom,
    uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).

thf(153,plain,
    uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(62,axiom,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).

thf(189,plain,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(69,axiom,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).

thf(197,plain,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(43,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
     => ( ! [C: $i,D: $i] :
            ( ( D @ ( C @ ( A @ iext ) ) )
           => ( D @ ( C @ ( B @ iext ) ) ) )
        & ( B @ ip )
        & ( A @ ip ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
     => ( ! [C: $i,D: $i] :
            ( ( D @ ( C @ ( A @ iext ) ) )
           => ( D @ ( C @ ( B @ iext ) ) ) )
        & ( B @ ip )
        & ( A @ ip ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(32,axiom,
    uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_value_type) ).

thf(150,plain,
    uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(75,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_range) ).

thf(203,plain,
    uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(72,axiom,
    uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).

thf(200,plain,
    uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
    <=> ( A @ ip ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

thf(138,plain,
    ! [A: $i] :
      ( ( ( A @ ip )
       => ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
      & ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
       => ( A @ ip ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( A @ lv )
     => ( A @ ir ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_lv) ).

thf(88,plain,
    ! [A: $i] :
      ( ( A @ lv )
     => ( A @ ir ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,axiom,
    uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).

thf(115,plain,
    uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(74,axiom,
    uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).

thf(202,plain,
    uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(48,axiom,
    uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).

thf(174,plain,
    uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(58,axiom,
    uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_sub) ).

thf(185,plain,
    uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(57,axiom,
    uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_001) ).

thf(184,plain,
    uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(10,axiom,
    uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).

thf(110,plain,
    uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(19,axiom,
    uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).

thf(125,plain,
    uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(68,axiom,
    uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_domain) ).

thf(196,plain,
    uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(38,axiom,
    uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_nil_type) ).

thf(157,plain,
    uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(52,axiom,
    uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_object_type) ).

thf(179,plain,
    uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(82,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
     => ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).

thf(211,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
     => ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(1,conjecture,
    ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(84,plain,
    ~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(24,axiom,
    uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_domain) ).

thf(132,plain,
    uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ ( uri_rdfs_Datatype @ icext ) )
     => ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).

thf(133,plain,
    ! [A: $i] :
      ( ( A @ ( uri_rdfs_Datatype @ icext ) )
     => ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(15,axiom,
    uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_002) ).

thf(116,plain,
    uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(78,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_domain) ).

thf(206,plain,
    uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(16,axiom,
    uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_range) ).

thf(117,plain,
    uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(73,axiom,
    uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).

thf(201,plain,
    uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ lv )
    <=> ( A @ ( uri_rdfs_Literal @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_lv_def) ).

thf(102,plain,
    ! [A: $i] :
      ( ( ( A @ ( uri_rdfs_Literal @ icext ) )
       => ( A @ lv ) )
      & ( ( A @ lv )
       => ( A @ ( uri_rdfs_Literal @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(41,axiom,
    uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).

thf(160,plain,
    uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(65,axiom,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).

thf(192,plain,
    uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(28,axiom,
    uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_type) ).

thf(137,plain,
    uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(37,axiom,
    uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_domain) ).

thf(156,plain,
    uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(61,axiom,
    uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).

thf(188,plain,
    uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(9,axiom,
    dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).

thf(109,plain,
    dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(66,axiom,
    ! [A: $i] :
      ( ( A @ ic )
     => ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).

thf(193,plain,
    ! [A: $i] :
      ( ( A @ ic )
     => ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( A @ ic )
    <=> ( A @ ( uri_rdfs_Class @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ic_def) ).

thf(96,plain,
    ! [A: $i] :
      ( ( ( A @ ( uri_rdfs_Class @ icext ) )
       => ( A @ ic ) )
      & ( ( A @ ic )
       => ( A @ ( uri_rdfs_Class @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(47,axiom,
    uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).

thf(173,plain,
    uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( D @ ( C @ ( A @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
     => ( C @ ( B @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

thf(129,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( D @ ( C @ ( A @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
     => ( C @ ( B @ icext ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(22,axiom,
    uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).

thf(128,plain,
    uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(77,axiom,
    uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).

thf(205,plain,
    uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(42,axiom,
    uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).

thf(161,plain,
    uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(53,axiom,
    uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).

thf(180,plain,
    uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(31,axiom,
    uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).

thf(149,plain,
    uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(50,axiom,
    uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).

thf(176,plain,
    uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(64,axiom,
    uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).

thf(191,plain,
    uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(17,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).

thf(118,plain,
    uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(76,axiom,
    uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).

thf(204,plain,
    uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(30,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
     => ( ! [C: $i] :
            ( ( C @ ( A @ icext ) )
           => ( C @ ( B @ icext ) ) )
        & ( B @ ic )
        & ( A @ ic ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).

thf(144,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
     => ( ! [C: $i] :
            ( ( C @ ( A @ icext ) )
           => ( C @ ( B @ icext ) ) )
        & ( B @ ic )
        & ( A @ ic ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(54,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).

thf(181,plain,
    uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(3,axiom,
    ! [A: $i] : ( A @ ir ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

thf(86,plain,
    ! [A: $i] : ( A @ ir ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(40,axiom,
    uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).

thf(159,plain,
    uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(60,axiom,
    uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_subject_type) ).

thf(187,plain,
    uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(12,axiom,
    uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_property_type) ).

thf(113,plain,
    uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(80,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
     => ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).

thf(208,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
     => ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(83,axiom,
    uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_range) ).

thf(213,plain,
    uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(36,axiom,
    uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).

thf(155,plain,
    uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(70,axiom,
    uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_range) ).

thf(198,plain,
    uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(8,axiom,
    uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).

thf(108,plain,
    uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(26,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).

thf(135,plain,
    uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(44,axiom,
    uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).

thf(167,plain,
    uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(71,axiom,
    uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_003) ).

thf(199,plain,
    uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(21,axiom,
    uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_range) ).

thf(127,plain,
    uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(51,axiom,
    ! [A: $i] :
      ( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
     => ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).

thf(177,plain,
    ! [A: $i] :
      ( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
     => ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(55,axiom,
    uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_range) ).

thf(182,plain,
    uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(35,axiom,
    uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).

thf(154,plain,
    uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(49,axiom,
    uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).

thf(175,plain,
    uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(39,axiom,
    uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).

thf(158,plain,
    uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(59,axiom,
    uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).

thf(186,plain,
    uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(13,axiom,
    uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_range) ).

thf(114,plain,
    uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(46,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( D @ ( C @ ( A @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
     => ( D @ ( B @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).

thf(171,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( D @ ( C @ ( A @ iext ) ) )
        & ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
     => ( D @ ( B @ icext ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(18,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
    <=> ( A @ ( B @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

thf(119,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ icext ) )
       => ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
      & ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
       => ( A @ ( B @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(79,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).

thf(207,plain,
    uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ( A @ ip )
     => ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).

thf(151,plain,
    ! [A: $i] :
      ( ( A @ ip )
     => ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( A @ ( B @ iext ) ) )
     => ( B @ ip ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

thf(168,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( A @ ( B @ iext ) ) )
     => ( B @ ip ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(63,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).

thf(190,plain,
    uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(56,axiom,
    uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).

thf(183,plain,
    uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(81,axiom,
    uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_rest_type) ).

thf(210,plain,
    uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(67,axiom,
    uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).

thf(195,plain,
    uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(20,axiom,
    uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_first_type) ).

thf(126,plain,
    uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(27,axiom,
    uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_range) ).

thf(136,plain,
    uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A @ ir )
    <=> ( A @ ( uri_rdfs_Resource @ icext ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).

thf(90,plain,
    ! [A: $i] :
      ( ( ( A @ ( uri_rdfs_Resource @ icext ) )
       => ( A @ ir ) )
      & ( ( A @ ir )
       => ( A @ ( uri_rdfs_Resource @ icext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ ic )
     => ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).

thf(111,plain,
    ! [A: $i] :
      ( ( A @ ic )
     => ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(214,plain,
    $false,
    inference(e,[status(thm)],[153,189,197,162,150,203,200,138,88,115,202,174,185,184,110,125,196,157,179,211,84,132,133,116,206,117,201,102,160,192,137,156,188,109,193,96,173,129,128,205,161,180,149,176,191,118,204,144,181,86,159,187,113,208,213,155,198,108,135,167,199,127,177,182,154,175,158,186,114,171,119,207,151,168,190,183,210,195,126,136,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB003+4 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40  % Computer : n010.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.41  % DateTime : Sat Sep 26 11:39:15 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.89/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.55/1.20  % [INFO] 	 Parsing done (227ms). 
% 1.55/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.16/1.59  % [INFO] 	 eprover registered as external prover. 
% 2.37/1.60  % [INFO] 	 Scanning for conjecture ... 
% 2.57/1.70  % [INFO] 	 Found a conjecture (or negated_conjecture) and 81 axioms. Running axiom selection ... 
% 2.57/1.79  % [INFO] 	 Axiom selection finished. Selected 81 axioms (removed 0 axioms). 
% 2.81/1.86  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.81/1.86  % [INFO] 	 Type checking passed. 
% 2.81/1.87  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 5.30/2.71  % External prover 'e' found a proof!
% 5.30/2.72  % [INFO] 	 Killing All external provers ... 
% 5.30/2.72  % Time passed: 2171ms (effective reasoning time: 1498ms)
% 5.30/2.72  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.30/2.72  % Axioms used in derivation (81): rdfs_subpropertyof_trans, rdfs_domain_main, rdfs_container_containermembershipproperty_sub, rdfs_reification_predicate_domain, rdf_type_ip, rdfs_annotation_comment_domain, rdfs_container_n_range_002, rdfs_range_range, rdfs_reification_subject_domain, rdf_value_type, rdfs_container_containermembershipproperty_instsub_member, rdfs_reification_subject_range, rdfs_subclassof_range, rdfs_subpropertyof_domain, rdfs_container_n_range_001, rdfs_subclassof_reflex, rdfs_container_alt_sub, rdfs_container_n_domain_001, rdfs_container_bag_sub, rdfs_reification_object_domain, rdf_reification_subject_type, testcase_premise_fullish_003_Blank_Nodes_for_Literals, rdfs_range_domain, rdfs_container_n_domain_002, rdf_container_n_type_001, rdfs_container_n_type_003, rdfs_container_member_domain, rdfs_annotation_label_domain, rdfs_annotation_label_range, rdfs_value_domain, rdfs_container_n_type_002, simple_ir, simple_lv, rdf_collection_first_type, rdfs_dat_xmlliteral_sub, rdf_collection_nil_type, rdfs_annotation_isdefinedby_range, rdfs_collection_rest_range, rdfs_type_range, rdfs_domain_domain, rdfs_container_n_range_003, rdf_collection_rest_type, rdfs_collection_rest_domain, rdfs_annotation_isdefinedby_domain, rdfs_type_domain, rdfs_annotation_seealso_range, rdfs_container_n_type_001, rdfs_annotation_comment_range, rdfs_range_main, rdfs_datatype_instsub_literal, rdfs_subclassof_trans, rdfs_subclassof_domain, rdfs_annotation_isdefinedby_sub, rdfs_subpropertyof_main, rdfs_container_member_range, rdfs_property_type, rdf_container_n_type_003, rdfs_collection_first_domain, rdfs_ir_def, rdf_reification_predicate_type, rdfs_container_seq_sub, rdfs_ic_def, rdfs_collection_first_range, rdfs_reification_predicate_range, rdfs_dat_xmlliteral_type, rdfs_datatype_sub, rdfs_subpropertyof_range, rdfs_annotation_seealso_domain, rdfs_lv_def, rdfs_class_instsub_resource, rdfs_reification_object_range, rdfs_subpropertyof_reflex, rdfs_cext_def, rdfs_value_range, simple_iext_property, rdf_container_n_type_002, rdfs_subclassof_main, rdfs_container_n_domain_003, rdf_type_type, rdfs_domain_range, rdf_reification_object_type
% 5.30/2.72  % No. of inferences in proof: 166
% 5.30/2.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2171 ms resp. 1498 ms w/o parsing
% 5.63/2.83  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.63/2.83  % [INFO] 	 Killing All external provers ... 
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