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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB010+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 05:16:43 PM UTC 2026

% Result   : Theorem 1.28s 1.72s
% Output   : CNFRefutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   61 (  14 unt;   0 def)
%            Number of atoms       :  246 (   6 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  299 ( 114   ~; 117   |;  53   &)
%                                         (   6 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-4 aty)
%            Number of variables   :  122 (   3 sgn  53   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_npa_object_fi,axiom,
    ! [X7,X6,X8] :
      ( ( ir(X6)
        & ip(X7)
        & ir(X8)
        & ~ iext(X7,X6,X8) )
     => ? [X4] :
          ( iext(uri_owl_sourceIndividual,X4,X6)
          & iext(uri_owl_assertionProperty,X4,X7)
          & iext(uri_owl_targetIndividual,X4,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).

fof(testcase_conclusion_fullish_010_Negative_Property_Assertions,conjecture,
    ? [X9] :
      ( iext(uri_rdf_type,X9,uri_owl_NegativePropertyAssertion)
      & iext(uri_owl_sourceIndividual,X9,uri_ex_s)
      & iext(uri_owl_assertionProperty,X9,uri_ex_p)
      & iext(uri_owl_targetIndividual,X9,uri_ex_o) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).

fof(simple_ir,axiom,
    ! [X1] : ir(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(owl_prop_onproperty_ext,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_onProperty,X1,X3)
     => ( icext(uri_owl_Restriction,X1)
        & ip(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).

fof(testcase_premise_fullish_010_Negative_Property_Assertions,axiom,
    ? [X10,X11,X12,X13] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_s,X10)
      & iext(uri_owl_onProperty,X10,uri_ex_p)
      & iext(uri_owl_allValuesFrom,X10,X11)
      & iext(uri_owl_complementOf,X11,X12)
      & iext(uri_owl_oneOf,X12,X13)
      & iext(uri_rdf_first,X13,uri_ex_o)
      & iext(uri_rdf_rest,X13,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).

fof(owl_prop_sourceindividual_ext,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_sourceIndividual,X1,X3)
     => ( icext(uri_owl_NegativePropertyAssertion,X1)
        & ir(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).

fof(owl_bool_complementof_class,axiom,
    ! [X4,X2] :
      ( iext(uri_owl_complementOf,X4,X2)
     => ( ic(X4)
        & ic(X2)
        & ! [X1] :
            ( icext(X4,X1)
          <=> ~ icext(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(owl_enum_class_001,axiom,
    ! [X4,X5,X6] :
      ( ( iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X4,X5)
      <=> ( ic(X4)
          & ! [X1] :
              ( icext(X4,X1)
            <=> X1 = X6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(owl_restrict_allvaluesfrom,axiom,
    ! [X4,X7,X2] :
      ( ( iext(uri_owl_allValuesFrom,X4,X2)
        & iext(uri_owl_onProperty,X4,X7) )
     => ! [X1] :
          ( icext(X4,X1)
        <=> ! [X3] :
              ( iext(X7,X1,X3)
             => icext(X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).

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

fof(c_0_10,plain,
    ! [X7,X6,X8] :
      ( ( ir(X6)
        & ip(X7)
        & ir(X8)
        & ~ iext(X7,X6,X8) )
     => ? [X4] :
          ( iext(uri_owl_sourceIndividual,X4,X6)
          & iext(uri_owl_assertionProperty,X4,X7)
          & iext(uri_owl_targetIndividual,X4,X8) ) ),
    inference(fof_simplification,[status(thm)],[owl_npa_object_fi]) ).

fof(c_0_11,negated_conjecture,
    ~ ? [X9] :
        ( iext(uri_rdf_type,X9,uri_owl_NegativePropertyAssertion)
        & iext(uri_owl_sourceIndividual,X9,uri_ex_s)
        & iext(uri_owl_assertionProperty,X9,uri_ex_p)
        & iext(uri_owl_targetIndividual,X9,uri_ex_o) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_010_Negative_Property_Assertions]) ).

fof(c_0_12,plain,
    ! [X65,X66,X67] :
      ( ( iext(uri_owl_sourceIndividual,esk3_3(X65,X66,X67),X66)
        | ~ ir(X66)
        | ~ ip(X65)
        | ~ ir(X67)
        | iext(X65,X66,X67) )
      & ( iext(uri_owl_assertionProperty,esk3_3(X65,X66,X67),X65)
        | ~ ir(X66)
        | ~ ip(X65)
        | ~ ir(X67)
        | iext(X65,X66,X67) )
      & ( iext(uri_owl_targetIndividual,esk3_3(X65,X66,X67),X67)
        | ~ ir(X66)
        | ~ ip(X65)
        | ~ ir(X67)
        | iext(X65,X66,X67) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_13,plain,
    ! [X42] : ir(X42),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_14,negated_conjecture,
    ! [X69] :
      ( ~ iext(uri_rdf_type,X69,uri_owl_NegativePropertyAssertion)
      | ~ iext(uri_owl_sourceIndividual,X69,uri_ex_s)
      | ~ iext(uri_owl_assertionProperty,X69,uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,X69,uri_ex_o) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

cnf(c_0_15,plain,
    ( iext(uri_owl_targetIndividual,esk3_3(X1,X2,X3),X3)
    | iext(X1,X2,X3)
    | ~ ir(X2)
    | ~ ip(X1)
    | ~ ir(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,plain,
    ! [X47,X48] :
      ( ( icext(uri_owl_Restriction,X47)
        | ~ iext(uri_owl_onProperty,X47,X48) )
      & ( ip(X48)
        | ~ iext(uri_owl_onProperty,X47,X48) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])]) ).

fof(c_0_18,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_s,esk4_0)
    & iext(uri_owl_onProperty,esk4_0,uri_ex_p)
    & iext(uri_owl_allValuesFrom,esk4_0,esk5_0)
    & iext(uri_owl_complementOf,esk5_0,esk6_0)
    & iext(uri_owl_oneOf,esk6_0,esk7_0)
    & iext(uri_rdf_first,esk7_0,uri_ex_o)
    & iext(uri_rdf_rest,esk7_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_010_Negative_Property_Assertions])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_owl_NegativePropertyAssertion)
    | ~ iext(uri_owl_sourceIndividual,X1,uri_ex_s)
    | ~ iext(uri_owl_assertionProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_targetIndividual,X1,uri_ex_o) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( iext(X1,X2,X3)
    | iext(uri_owl_targetIndividual,esk3_3(X1,X2,X3),X3)
    | ~ ip(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).

cnf(c_0_21,plain,
    ( iext(uri_owl_assertionProperty,esk3_3(X1,X2,X3),X1)
    | iext(X1,X2,X3)
    | ~ ir(X2)
    | ~ ip(X1)
    | ~ ir(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( ip(X1)
    | ~ iext(uri_owl_onProperty,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    iext(uri_owl_onProperty,esk4_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_24,plain,
    ! [X45,X46] :
      ( ( icext(uri_owl_NegativePropertyAssertion,X45)
        | ~ iext(uri_owl_sourceIndividual,X45,X46) )
      & ( ir(X46)
        | ~ iext(uri_owl_sourceIndividual,X45,X46) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_sourceindividual_ext])])]) ).

cnf(c_0_25,plain,
    ( iext(uri_owl_sourceIndividual,esk3_3(X1,X2,X3),X2)
    | iext(X1,X2,X3)
    | ~ ir(X2)
    | ~ ip(X1)
    | ~ ir(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_26,plain,
    ! [X4,X2] :
      ( iext(uri_owl_complementOf,X4,X2)
     => ( ic(X4)
        & ic(X2)
        & ! [X1] :
            ( icext(X4,X1)
          <=> ~ icext(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

fof(c_0_27,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ( ic(X52)
        | ~ iext(uri_owl_oneOf,X52,X53)
        | ~ iext(uri_rdf_first,X53,X54)
        | ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
      & ( ~ icext(X52,X55)
        | X55 = X54
        | ~ iext(uri_owl_oneOf,X52,X53)
        | ~ iext(uri_rdf_first,X53,X54)
        | ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
      & ( X56 != X54
        | icext(X52,X56)
        | ~ iext(uri_owl_oneOf,X52,X53)
        | ~ iext(uri_rdf_first,X53,X54)
        | ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
      & ( ~ icext(X52,esk1_3(X52,X53,X54))
        | esk1_3(X52,X53,X54) != X54
        | ~ ic(X52)
        | iext(uri_owl_oneOf,X52,X53)
        | ~ iext(uri_rdf_first,X53,X54)
        | ~ iext(uri_rdf_rest,X53,uri_rdf_nil) )
      & ( icext(X52,esk1_3(X52,X53,X54))
        | esk1_3(X52,X53,X54) = X54
        | ~ ic(X52)
        | iext(uri_owl_oneOf,X52,X53)
        | ~ iext(uri_rdf_first,X53,X54)
        | ~ iext(uri_rdf_rest,X53,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_enum_class_001])])])])])]) ).

fof(c_0_28,plain,
    ! [X58,X59,X60,X61,X62,X63] :
      ( ( ~ icext(X58,X61)
        | ~ iext(X59,X61,X62)
        | icext(X60,X62)
        | ~ iext(uri_owl_allValuesFrom,X58,X60)
        | ~ iext(uri_owl_onProperty,X58,X59) )
      & ( iext(X59,X63,esk2_4(X58,X59,X60,X63))
        | icext(X58,X63)
        | ~ iext(uri_owl_allValuesFrom,X58,X60)
        | ~ iext(uri_owl_onProperty,X58,X59) )
      & ( ~ icext(X60,esk2_4(X58,X59,X60,X63))
        | icext(X58,X63)
        | ~ iext(uri_owl_allValuesFrom,X58,X60)
        | ~ iext(uri_owl_onProperty,X58,X59) ) ),
    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_restrict_allvaluesfrom])])])])])]) ).

cnf(c_0_29,negated_conjecture,
    ( iext(X1,X2,uri_ex_o)
    | ~ ip(X1)
    | ~ iext(uri_rdf_type,esk3_3(X1,X2,uri_ex_o),uri_owl_NegativePropertyAssertion)
    | ~ iext(uri_owl_sourceIndividual,esk3_3(X1,X2,uri_ex_o),uri_ex_s)
    | ~ iext(uri_owl_assertionProperty,esk3_3(X1,X2,uri_ex_o),uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_30,plain,
    ( iext(X1,X2,X3)
    | iext(uri_owl_assertionProperty,esk3_3(X1,X2,X3),X1)
    | ~ ip(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_16]),c_0_16])]) ).

cnf(c_0_31,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_32,plain,
    ! [X43,X44] :
      ( ( ~ iext(uri_rdf_type,X43,X44)
        | icext(X44,X43) )
      & ( ~ icext(X44,X43)
        | iext(uri_rdf_type,X43,X44) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_33,plain,
    ( icext(uri_owl_NegativePropertyAssertion,X1)
    | ~ iext(uri_owl_sourceIndividual,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( iext(X1,X2,X3)
    | iext(uri_owl_sourceIndividual,esk3_3(X1,X2,X3),X2)
    | ~ ip(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16]),c_0_16])]) ).

fof(c_0_35,plain,
    ! [X49,X50,X51] :
      ( ( ic(X49)
        | ~ iext(uri_owl_complementOf,X49,X50) )
      & ( ic(X50)
        | ~ iext(uri_owl_complementOf,X49,X50) )
      & ( ~ icext(X49,X51)
        | ~ icext(X50,X51)
        | ~ iext(uri_owl_complementOf,X49,X50) )
      & ( icext(X50,X51)
        | icext(X49,X51)
        | ~ iext(uri_owl_complementOf,X49,X50) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).

cnf(c_0_36,plain,
    ( icext(X3,X1)
    | X1 != X2
    | ~ iext(uri_owl_oneOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( icext(X5,X4)
    | ~ icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_owl_allValuesFrom,X1,X5)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    ( iext(uri_ex_p,X1,uri_ex_o)
    | ~ iext(uri_rdf_type,esk3_3(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion)
    | ~ iext(uri_owl_sourceIndividual,esk3_3(uri_ex_p,X1,uri_ex_o),uri_ex_s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_39,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( icext(uri_owl_NegativePropertyAssertion,esk3_3(X1,X2,X3))
    | iext(X1,X2,X3)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_complementOf,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    iext(uri_owl_complementOf,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_43,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ iext(uri_owl_oneOf,X1,X3) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_44,plain,
    iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_45,plain,
    ( icext(X1,X2)
    | ~ icext(esk4_0,X3)
    | ~ iext(uri_owl_allValuesFrom,esk4_0,X1)
    | ~ iext(uri_ex_p,X3,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_23]) ).

cnf(c_0_46,plain,
    iext(uri_owl_allValuesFrom,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_47,negated_conjecture,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ~ iext(uri_rdf_type,esk3_3(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_31])]) ).

cnf(c_0_48,plain,
    ( iext(uri_rdf_type,esk3_3(X1,X2,X3),uri_owl_NegativePropertyAssertion)
    | iext(X1,X2,X3)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_49,plain,
    ( ~ icext(esk6_0,X1)
    | ~ icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_first,esk7_0,X2)
    | ~ iext(uri_owl_oneOf,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_51,plain,
    iext(uri_owl_oneOf,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_52,plain,
    ( icext(esk5_0,X1)
    | ~ icext(esk4_0,X2)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_31])]) ).

cnf(c_0_54,plain,
    ( ~ icext(esk5_0,X1)
    | ~ iext(uri_rdf_first,esk7_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_55,negated_conjecture,
    ( icext(esk5_0,uri_ex_o)
    | ~ icext(esk4_0,uri_ex_s) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_o),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_57,negated_conjecture,
    ~ icext(esk4_0,uri_ex_s),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_58,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_59,plain,
    iext(uri_rdf_type,uri_ex_s,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB010+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n004.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 04:07:02 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.28/1.72  % Version  : CSE_E---1.7
% 1.28/1.72  % Problem  : theBenchmark.p
% 1.28/1.72  % SZS status Theorem for theBenchmark.p
% 1.28/1.72  % SZS output start CNFRefutation
% See solution above
% 1.28/1.73  % Total time : 1.373s
%------------------------------------------------------------------------------