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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB012+3 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n028.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 : Tue May  5 05:16:47 PM UTC 2026

% Result   : Theorem 2.26s 1.88s
% Output   : CNFRefutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (  19 unt;   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 predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  21 con; 0-7 aty)
%            Number of variables   :  132 (  24 sgn  39   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
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,
    ! [X210,X211,X212,X213,X214,X215,X216,X217,X218] :
      ( ( ic(X210)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( ic(X212)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( ic(X214)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( ic(X216)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X212,X217)
        | ~ icext(X210,X217)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X214,X217)
        | ~ icext(X210,X217)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X216,X217)
        | ~ icext(X210,X217)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( ~ icext(X212,X218)
        | ~ icext(X214,X218)
        | ~ icext(X216,X218)
        | icext(X210,X218)
        | ~ iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( ~ icext(X210,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ icext(X212,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ icext(X214,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ icext(X216,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ ic(X210)
        | ~ ic(X212)
        | ~ ic(X214)
        | ~ ic(X216)
        | iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X212,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | icext(X210,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ ic(X210)
        | ~ ic(X212)
        | ~ ic(X214)
        | ~ ic(X216)
        | iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X214,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | icext(X210,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ ic(X210)
        | ~ ic(X212)
        | ~ ic(X214)
        | ~ ic(X216)
        | iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,uri_rdf_nil) )
      & ( icext(X216,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | icext(X210,esk4_7(X210,X211,X212,X213,X214,X215,X216))
        | ~ ic(X210)
        | ~ ic(X212)
        | ~ ic(X214)
        | ~ ic(X216)
        | iext(uri_owl_intersectionOf,X210,X211)
        | ~ iext(uri_rdf_first,X211,X212)
        | ~ iext(uri_rdf_rest,X211,X213)
        | ~ iext(uri_rdf_first,X213,X214)
        | ~ iext(uri_rdf_rest,X213,X215)
        | ~ iext(uri_rdf_first,X215,X216)
        | ~ iext(uri_rdf_rest,X215,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,
    ! [X347,X348] :
      ( ( ~ iext(uri_rdf_type,X347,X348)
        | icext(X348,X347) )
      & ( ~ icext(X348,X347)
        | iext(uri_rdf_type,X347,X348) ) ),
    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,
    ! [X335,X336,X337,X338] :
      ( ( ~ icext(X335,X338)
        | iext(X336,X338,X337)
        | ~ iext(uri_owl_hasValue,X335,X337)
        | ~ iext(uri_owl_onProperty,X335,X336) )
      & ( ~ iext(X336,X338,X337)
        | icext(X335,X338)
        | ~ iext(uri_owl_hasValue,X335,X337)
        | ~ iext(uri_owl_onProperty,X335,X336) ) ),
    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,
    ! [X298,X299,X300,X301,X302,X303] :
      ( ( ip(X298)
        | ~ iext(uri_rdfs_domain,X298,X299) )
      & ( ic(X299)
        | ~ iext(uri_rdfs_domain,X298,X299) )
      & ( ~ iext(X298,X300,X301)
        | icext(X299,X300)
        | ~ iext(uri_rdfs_domain,X298,X299) )
      & ( iext(X302,esk10_2(X302,X303),esk11_2(X302,X303))
        | ~ ip(X302)
        | ~ ic(X303)
        | iext(uri_rdfs_domain,X302,X303) )
      & ( ~ icext(X303,esk10_2(X302,X303))
        | ~ ip(X302)
        | ~ ic(X303)
        | iext(uri_rdfs_domain,X302,X303) ) ),
    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 v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n028.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 04:07:46 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 2.26/1.88  % Version  : CSE_E---1.7
% 2.26/1.88  % Problem  : theBenchmark.p
% 2.26/1.88  % SZS status Theorem for theBenchmark.p
% 2.26/1.88  % SZS output start CNFRefutation
% See solution above
% 2.26/1.88  % Total time : 1.372s
%------------------------------------------------------------------------------