TSTP Solution File: SWB012+3 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB012+3 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:01:53 EDT 2023

% Result   : Theorem 1.08s 1.19s
% Output   : CNFRefutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  144 (  19 unt;  88 typ;   0 def)
%            Number of atoms       :  336 (   0 equ)
%            Maximal formula atoms :  124 (   6 avg)
%            Number of connectives :  492 ( 212   ~; 215   |;  57   &)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   69 (  29   >;  40   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   77 (  77 usr;  59 con; 0-7 aty)
%            Number of variables   :  132 (  24 sgn;  39   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    uri_owl_complementOf: $i ).

tff(decl_23,type,
    iext: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    ic: $i > $o ).

tff(decl_25,type,
    icext: ( $i * $i ) > $o ).

tff(decl_26,type,
    uri_owl_intersectionOf: $i ).

tff(decl_27,type,
    uri_rdf_nil: $i ).

tff(decl_28,type,
    ir: $i > $o ).

tff(decl_29,type,
    uri_rdf_first: $i ).

tff(decl_30,type,
    uri_rdf_rest: $i ).

tff(decl_31,type,
    uri_owl_unionOf: $i ).

tff(decl_32,type,
    uri_owl_Nothing: $i ).

tff(decl_33,type,
    uri_owl_Thing: $i ).

tff(decl_34,type,
    uri_rdf_type: $i ).

tff(decl_35,type,
    uri_rdfs_Class: $i ).

tff(decl_36,type,
    idc: $i > $o ).

tff(decl_37,type,
    lv: $i > $o ).

tff(decl_38,type,
    uri_rdfs_Datatype: $i ).

tff(decl_39,type,
    ioap: $i > $o ).

tff(decl_40,type,
    ip: $i > $o ).

tff(decl_41,type,
    uri_owl_AnnotationProperty: $i ).

tff(decl_42,type,
    iodp: $i > $o ).

tff(decl_43,type,
    uri_owl_DatatypeProperty: $i ).

tff(decl_44,type,
    ioxp: $i > $o ).

tff(decl_45,type,
    ix: $i > $o ).

tff(decl_46,type,
    uri_owl_OntologyProperty: $i ).

tff(decl_47,type,
    uri_rdf_Property: $i ).

tff(decl_48,type,
    uri_rdfs_Resource: $i ).

tff(decl_49,type,
    uri_owl_Ontology: $i ).

tff(decl_50,type,
    uri_rdfs_Literal: $i ).

tff(decl_51,type,
    uri_owl_allValuesFrom: $i ).

tff(decl_52,type,
    uri_owl_Restriction: $i ).

tff(decl_53,type,
    uri_owl_hasValue: $i ).

tff(decl_54,type,
    uri_rdf_List: $i ).

tff(decl_55,type,
    uri_owl_onProperty: $i ).

tff(decl_56,type,
    uri_owl_someValuesFrom: $i ).

tff(decl_57,type,
    uri_rdfs_domain: $i ).

tff(decl_58,type,
    uri_rdfs_range: $i ).

tff(decl_59,type,
    uri_rdfs_subClassOf: $i ).

tff(decl_60,type,
    uri_rdfs_subPropertyOf: $i ).

tff(decl_61,type,
    uri_rdf__1: $i ).

tff(decl_62,type,
    uri_rdf__2: $i ).

tff(decl_63,type,
    uri_rdf__3: $i ).

tff(decl_64,type,
    uri_rdf_object: $i ).

tff(decl_65,type,
    uri_rdf_value: $i ).

tff(decl_66,type,
    uri_rdf_subject: $i ).

tff(decl_67,type,
    uri_rdfs_comment: $i ).

tff(decl_68,type,
    uri_rdfs_isDefinedBy: $i ).

tff(decl_69,type,
    uri_rdfs_seeAlso: $i ).

tff(decl_70,type,
    uri_rdfs_label: $i ).

tff(decl_71,type,
    uri_rdf_Alt: $i ).

tff(decl_72,type,
    uri_rdfs_Container: $i ).

tff(decl_73,type,
    uri_rdf_Bag: $i ).

tff(decl_74,type,
    uri_rdfs_ContainerMembershipProperty: $i ).

tff(decl_75,type,
    uri_rdfs_member: $i ).

tff(decl_76,type,
    uri_rdfs_Seq: $i ).

tff(decl_77,type,
    uri_rdf_XMLLiteral: $i ).

tff(decl_78,type,
    uri_rdfs_Statement: $i ).

tff(decl_79,type,
    uri_rdf_predicate: $i ).

tff(decl_80,type,
    uri_ex_name: $i ).

tff(decl_81,type,
    uri_owl_FunctionalProperty: $i ).

tff(decl_82,type,
    uri_ex_alice: $i ).

tff(decl_83,type,
    uri_foaf_Person: $i ).

tff(decl_84,type,
    uri_owl_Class: $i ).

tff(decl_85,type,
    uri_ex_PersonAttribute: $i ).

tff(decl_86,type,
    dat_str_alice: $i ).

tff(decl_87,type,
    literal_plain: $i > $i ).

tff(decl_88,type,
    esk1_1: $i > $i ).

tff(decl_89,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk3_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk5_1: $i > $i ).

tff(decl_93,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk7_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk8_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_96,type,
    esk9_0: $i ).

tff(decl_97,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_98,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_99,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_100,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_101,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_102,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_103,type,
    esk16_2: ( $i * $i ) > $i ).

tff(decl_104,type,
    esk17_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_105,type,
    esk18_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_106,type,
    esk19_0: $i ).

tff(decl_107,type,
    esk20_0: $i ).

tff(decl_108,type,
    esk21_0: $i ).

tff(decl_109,type,
    esk22_0: $i ).

fof(owl_bool_intersectionof_class_003,axiom,
    ! [X1,X4,X5,X6,X7,X8,X9] :
      ( ( iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X4,X6)
        & iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,X8)
        & iext(uri_rdf_first,X8,X9)
        & iext(uri_rdf_rest,X8,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X1,X4)
      <=> ( ic(X1)
          & ic(X5)
          & ic(X7)
          & ic(X9)
          & ! [X3] :
              ( icext(X1,X3)
            <=> ( icext(X5,X3)
                & icext(X7,X3)
                & icext(X9,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_intersectionof_class_003) ).

fof(testcase_premise_fullish_012_Template_Class,axiom,
    ? [X21,X22,X23,X24] :
      ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X21)
      & iext(uri_rdf_first,X21,uri_owl_DatatypeProperty)
      & iext(uri_rdf_rest,X21,X22)
      & iext(uri_rdf_first,X22,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,X22,X23)
      & iext(uri_rdf_first,X23,X24)
      & iext(uri_rdf_rest,X23,uri_rdf_nil)
      & iext(uri_rdf_type,X24,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X24,uri_rdfs_domain)
      & iext(uri_owl_hasValue,X24,uri_foaf_Person)
      & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
      & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).

fof(rdfs_cext_def,axiom,
    ! [X3,X2] :
      ( iext(uri_rdf_type,X3,X2)
    <=> icext(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).

fof(owl_restrict_hasvalue,axiom,
    ! [X1,X11,X14] :
      ( ( iext(uri_owl_hasValue,X1,X14)
        & iext(uri_owl_onProperty,X1,X11) )
     => ! [X3] :
          ( icext(X1,X3)
        <=> iext(X11,X3,X14) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_restrict_hasvalue) ).

fof(owl_rdfsext_domain,axiom,
    ! [X11,X2] :
      ( iext(uri_rdfs_domain,X11,X2)
    <=> ( ip(X11)
        & ic(X2)
        & ! [X3,X10] :
            ( iext(X11,X3,X10)
           => icext(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_rdfsext_domain) ).

fof(testcase_conclusion_fullish_012_Template_Class,conjecture,
    ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).

fof(c_0_6,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54,X55] :
      ( ( ic(X47)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( ic(X49)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( ic(X51)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( ic(X53)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X49,X54)
        | ~ icext(X47,X54)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X51,X54)
        | ~ icext(X47,X54)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X53,X54)
        | ~ icext(X47,X54)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( ~ icext(X49,X55)
        | ~ icext(X51,X55)
        | ~ icext(X53,X55)
        | icext(X47,X55)
        | ~ iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( ~ icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ icext(X49,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ icext(X51,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ icext(X53,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | ~ ic(X53)
        | iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X49,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | ~ ic(X53)
        | iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X51,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | ~ ic(X53)
        | iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) )
      & ( icext(X53,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | icext(X47,esk4_7(X47,X48,X49,X50,X51,X52,X53))
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | ~ ic(X53)
        | iext(uri_owl_intersectionOf,X47,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,X52)
        | ~ iext(uri_rdf_first,X52,X53)
        | ~ iext(uri_rdf_rest,X52,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_003])])])])])]) ).

fof(c_0_7,plain,
    ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
    & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk19_0)
    & iext(uri_rdf_first,esk19_0,uri_owl_DatatypeProperty)
    & iext(uri_rdf_rest,esk19_0,esk20_0)
    & iext(uri_rdf_first,esk20_0,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,esk20_0,esk21_0)
    & iext(uri_rdf_first,esk21_0,esk22_0)
    & iext(uri_rdf_rest,esk21_0,uri_rdf_nil)
    & iext(uri_rdf_type,esk22_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk22_0,uri_rdfs_domain)
    & iext(uri_owl_hasValue,esk22_0,uri_foaf_Person)
    & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
    & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_012_Template_Class])]) ).

cnf(c_0_8,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_intersectionOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_rest,X6,X8)
    | ~ iext(uri_rdf_first,X8,X1)
    | ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_rest,esk21_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk21_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk21_0)
    | ~ iext(uri_owl_intersectionOf,X3,X5)
    | ~ iext(uri_rdf_first,X4,X6)
    | ~ iext(uri_rdf_first,X5,X7)
    | ~ iext(uri_rdf_rest,X5,X4) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    iext(uri_rdf_first,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( icext(esk22_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk21_0)
    | ~ iext(uri_owl_intersectionOf,X2,X4)
    | ~ iext(uri_rdf_first,X3,X5)
    | ~ iext(uri_rdf_first,X4,X6)
    | ~ iext(uri_rdf_rest,X4,X3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    iext(uri_rdf_rest,esk20_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( icext(esk22_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk20_0,X3)
    | ~ iext(uri_rdf_rest,X4,esk20_0)
    | ~ iext(uri_owl_intersectionOf,X2,X4)
    | ~ iext(uri_rdf_first,X4,X5) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk20_0,uri_owl_FunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( icext(esk22_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk20_0)
    | ~ iext(uri_owl_intersectionOf,X2,X3)
    | ~ iext(uri_rdf_first,X3,X4) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_rest,esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_18,plain,
    ! [X184,X185] :
      ( ( ~ iext(uri_rdf_type,X184,X185)
        | icext(X185,X184) )
      & ( ~ icext(X185,X184)
        | iext(uri_rdf_type,X184,X185) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_19,plain,
    ( icext(esk22_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk19_0)
    | ~ iext(uri_rdf_first,esk19_0,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_23,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_intersectionOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_rest,X6,X7)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_24,plain,
    ! [X172,X173,X174,X175] :
      ( ( ~ icext(X172,X175)
        | iext(X173,X175,X174)
        | ~ iext(uri_owl_hasValue,X172,X174)
        | ~ iext(uri_owl_onProperty,X172,X173) )
      & ( ~ iext(X173,X175,X174)
        | icext(X172,X175)
        | ~ iext(uri_owl_hasValue,X172,X174)
        | ~ iext(uri_owl_onProperty,X172,X173) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasvalue])])])]) ).

cnf(c_0_25,plain,
    ( icext(esk22_0,X1)
    | ~ icext(uri_ex_PersonAttribute,X1)
    | ~ iext(uri_rdf_first,esk19_0,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk21_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk21_0)
    | ~ iext(uri_owl_intersectionOf,X3,X6)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_rest,X6,X5) ),
    inference(spm,[status(thm)],[c_0_23,c_0_9]) ).

cnf(c_0_28,plain,
    ( iext(X3,X2,X4)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_hasValue,X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    iext(uri_owl_hasValue,esk22_0,uri_foaf_Person),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30,plain,
    ( icext(esk22_0,uri_ex_name)
    | ~ iext(uri_rdf_first,esk19_0,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_first,esk19_0,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk21_0)
    | ~ iext(uri_owl_intersectionOf,X3,X5)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,X4) ),
    inference(spm,[status(thm)],[c_0_27,c_0_11]) ).

cnf(c_0_33,plain,
    ( iext(X1,X2,uri_foaf_Person)
    | ~ icext(esk22_0,X2)
    | ~ iext(uri_owl_onProperty,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    icext(esk22_0,uri_ex_name),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk20_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk20_0)
    | ~ iext(uri_owl_intersectionOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X5) ),
    inference(spm,[status(thm)],[c_0_32,c_0_13]) ).

fof(c_0_36,plain,
    ! [X135,X136,X137,X138,X139,X140] :
      ( ( ip(X135)
        | ~ iext(uri_rdfs_domain,X135,X136) )
      & ( ic(X136)
        | ~ iext(uri_rdfs_domain,X135,X136) )
      & ( ~ iext(X135,X137,X138)
        | icext(X136,X137)
        | ~ iext(uri_rdfs_domain,X135,X136) )
      & ( iext(X139,esk10_2(X139,X140),esk11_2(X139,X140))
        | ~ ip(X139)
        | ~ ic(X140)
        | iext(uri_rdfs_domain,X139,X140) )
      & ( ~ icext(X140,esk10_2(X139,X140))
        | ~ ip(X139)
        | ~ ic(X140)
        | iext(uri_rdfs_domain,X139,X140) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_domain])])])])])]) ).

cnf(c_0_37,plain,
    ( iext(X1,uri_ex_name,uri_foaf_Person)
    | ~ iext(uri_owl_onProperty,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    iext(uri_owl_onProperty,esk22_0,uri_rdfs_domain),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk20_0)
    | ~ iext(uri_owl_intersectionOf,X2,X3)
    | ~ iext(uri_rdf_first,X3,X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_15]) ).

cnf(c_0_40,plain,
    ( icext(X4,X2)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk19_0)
    | ~ iext(uri_rdf_first,esk19_0,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_17]) ).

fof(c_0_43,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
      & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_012_Template_Class]) ).

cnf(c_0_44,plain,
    ( icext(uri_foaf_Person,X1)
    | ~ iext(uri_ex_name,X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_46,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(uri_ex_PersonAttribute,X1)
    | ~ iext(uri_rdf_first,esk19_0,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_20]) ).

fof(c_0_47,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(fof_nnf,[status(thm)],[c_0_43]) ).

cnf(c_0_48,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_49,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    ( icext(uri_owl_FunctionalProperty,uri_ex_name)
    | ~ iext(uri_rdf_first,esk19_0,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_26]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

cnf(c_0_54,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_55,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB012+3 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 07:03:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.54  start to proof: theBenchmark
% 1.08/1.19  % Version  : CSE_E---1.5
% 1.08/1.19  % Problem  : theBenchmark.p
% 1.08/1.19  % Proof found
% 1.08/1.19  % SZS status Theorem for theBenchmark.p
% 1.08/1.19  % SZS output start Proof
% See solution above
% 1.08/1.21  % Total time : 0.645000 s
% 1.08/1.21  % SZS output end Proof
% 1.08/1.21  % Total time : 0.651000 s
%------------------------------------------------------------------------------