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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB012+2 : 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 : n029.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 05:16:46 PM UTC 2026

% Result   : Theorem 1.24s 1.72s
% Output   : CNFRefutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   50 (  19 unt;   0 def)
%            Number of atoms       :  286 (   0 equ)
%            Maximal formula atoms :  124 (   5 avg)
%            Number of connectives :  411 ( 175   ~; 177   |;  52   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-7 aty)
%            Number of variables   :   99 (  10 sgn  37   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_003,axiom,
    ! [X5,X6,X7,X8,X9,X10,X11] :
      ( ( iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,X8)
        & iext(uri_rdf_first,X8,X9)
        & iext(uri_rdf_rest,X8,X10)
        & iext(uri_rdf_first,X10,X11)
        & iext(uri_rdf_rest,X10,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X5,X6)
      <=> ( ic(X5)
          & ic(X7)
          & ic(X9)
          & ic(X11)
          & ! [X1] :
              ( icext(X5,X1)
            <=> ( icext(X7,X1)
                & icext(X9,X1)
                & icext(X11,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).

fof(testcase_premise_fullish_012_Template_Class,axiom,
    ? [X13,X14,X15,X16] :
      ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X13)
      & iext(uri_rdf_first,X13,uri_owl_DatatypeProperty)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_first,X14,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,X14,X15)
      & iext(uri_rdf_first,X15,X16)
      & iext(uri_rdf_rest,X15,uri_rdf_nil)
      & iext(uri_rdf_type,X16,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X16,uri_rdfs_domain)
      & iext(uri_owl_hasValue,X16,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(owl_restrict_hasvalue,axiom,
    ! [X5,X3,X12] :
      ( ( iext(uri_owl_hasValue,X5,X12)
        & iext(uri_owl_onProperty,X5,X3) )
     => ! [X1] :
          ( icext(X5,X1)
        <=> iext(X3,X1,X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(rdfs_domain_main,axiom,
    ! [X3,X2,X1,X4] :
      ( ( iext(uri_rdfs_domain,X3,X2)
        & iext(X3,X1,X4) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

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,
    ! [X45,X46,X47,X48,X49,X50,X51,X52,X53] :
      ( ( ic(X45)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( ic(X47)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( ic(X49)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( ic(X51)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X47,X52)
        | ~ icext(X45,X52)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X49,X52)
        | ~ icext(X45,X52)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X51,X52)
        | ~ icext(X45,X52)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( ~ icext(X47,X53)
        | ~ icext(X49,X53)
        | ~ icext(X51,X53)
        | icext(X45,X53)
        | ~ iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( ~ icext(X45,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ icext(X47,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ icext(X49,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ icext(X51,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ ic(X45)
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X47,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | icext(X45,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ ic(X45)
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X49,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | icext(X45,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ ic(X45)
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,uri_rdf_nil) )
      & ( icext(X51,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | icext(X45,esk1_7(X45,X46,X47,X48,X49,X50,X51))
        | ~ ic(X45)
        | ~ ic(X47)
        | ~ ic(X49)
        | ~ ic(X51)
        | iext(uri_owl_intersectionOf,X45,X46)
        | ~ iext(uri_rdf_first,X46,X47)
        | ~ iext(uri_rdf_rest,X46,X48)
        | ~ iext(uri_rdf_first,X48,X49)
        | ~ iext(uri_rdf_rest,X48,X50)
        | ~ iext(uri_rdf_first,X50,X51)
        | ~ iext(uri_rdf_rest,X50,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,esk2_0)
    & iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty)
    & iext(uri_rdf_rest,esk2_0,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,esk5_0)
    & iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
    & iext(uri_rdf_type,esk5_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain)
    & iext(uri_owl_hasValue,esk5_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_first,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,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]) ).

cnf(c_0_12,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk4_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,X3)
    | ~ iext(uri_owl_intersectionOf,X2,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_13,plain,
    iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_owl_intersectionOf,X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10])]) ).

fof(c_0_16,plain,
    ! [X55,X56,X57,X58] :
      ( ( ~ icext(X55,X58)
        | iext(X56,X58,X57)
        | ~ iext(uri_owl_hasValue,X55,X57)
        | ~ iext(uri_owl_onProperty,X55,X56) )
      & ( ~ iext(X56,X58,X57)
        | icext(X55,X58)
        | ~ iext(uri_owl_hasValue,X55,X57)
        | ~ iext(uri_owl_onProperty,X55,X56) ) ),
    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_17,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_intersectionOf,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_18,plain,
    iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_20,plain,
    ! [X39,X40] :
      ( ( ~ iext(uri_rdf_type,X39,X40)
        | icext(X40,X39) )
      & ( ~ icext(X40,X39)
        | iext(uri_rdf_type,X39,X40) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_21,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_intersectionOf,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_14])]) ).

cnf(c_0_22,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_16]) ).

cnf(c_0_23,plain,
    iext(uri_owl_hasValue,esk5_0,uri_foaf_Person),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_25,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19])]) ).

fof(c_0_29,plain,
    ! [X41,X42,X43,X44] :
      ( ~ iext(uri_rdfs_domain,X41,X42)
      | ~ iext(X41,X43,X44)
      | icext(X42,X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])]) ).

cnf(c_0_30,plain,
    ( iext(X1,X2,uri_foaf_Person)
    | ~ icext(esk5_0,X2)
    | ~ iext(uri_owl_onProperty,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,plain,
    iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,plain,
    ( icext(esk5_0,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_33,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_34,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_35,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_36,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X2)
    | ~ iext(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,plain,
    ( iext(uri_rdfs_domain,X1,uri_foaf_Person)
    | ~ icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,plain,
    icext(esk5_0,uri_ex_name),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_40,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_34]) ).

cnf(c_0_41,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_42,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(spm,[status(thm)],[c_0_35,c_0_33]) ).

cnf(c_0_43,plain,
    ( icext(X1,uri_ex_alice)
    | ~ iext(uri_rdfs_domain,uri_ex_name,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,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_40]) ).

cnf(c_0_46,plain,
    iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_49,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB012+2 : 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
% 0.14/0.32  % Computer : n029.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 04:07:44 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.24/1.72  % Version  : CSE_E---1.7
% 1.24/1.72  % Problem  : theBenchmark.p
% 1.24/1.72  % SZS status Theorem for theBenchmark.p
% 1.24/1.72  % SZS output start CNFRefutation
% See solution above
% 1.24/1.72  % Total time : 1.371s
%------------------------------------------------------------------------------