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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 : Thu Sep 24 02:37:58 PM UTC 2026

% Result   : Theorem 0.13s 0.42s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   64 (  15 unt;   0 def)
%            Number of atoms       :  249 (   6 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  296 ( 111   ~; 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   :  126 (   3 sgn  53   !;   8   ?)

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

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

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

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

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(owl_prop_onproperty_ext,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_onProperty,X1,X3)
     => ( ip(X3)
        & icext(uri_owl_Restriction,X1) ) ),
    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_rest,X13,uri_rdf_nil)
      & iext(uri_rdf_first,X13,uri_ex_o)
      & iext(uri_owl_oneOf,X12,X13)
      & iext(uri_owl_complementOf,X11,X12)
      & iext(uri_owl_allValuesFrom,X10,X11)
      & iext(uri_owl_onProperty,X10,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_s,X10)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).

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

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

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

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

fof(c_0_11,plain,
    ! [X37,X38,X39] :
      ( ( iext(X37,X38,X39)
        | ~ ir(X39)
        | ~ ip(X37)
        | ~ ir(X38)
        | iext(uri_owl_targetIndividual,esk3_3(X37,X38,X39),X39) )
      & ( iext(X37,X38,X39)
        | ~ ir(X39)
        | ~ ip(X37)
        | ~ ir(X38)
        | iext(uri_owl_assertionProperty,esk3_3(X37,X38,X39),X37) )
      & ( iext(X37,X38,X39)
        | ~ ir(X39)
        | ~ ip(X37)
        | ~ ir(X38)
        | iext(uri_owl_sourceIndividual,esk3_3(X37,X38,X39),X38) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).

fof(c_0_12,plain,
    ! [X14] : ir(X14),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_13,plain,
    ! [X17,X18] :
      ( ( ~ iext(uri_owl_sourceIndividual,X17,X18)
        | ir(X18) )
      & ( ~ iext(uri_owl_sourceIndividual,X17,X18)
        | icext(uri_owl_NegativePropertyAssertion,X17) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_sourceindividual_ext])])])]) ).

cnf(c_0_14,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_sourceIndividual,esk3_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,negated_conjecture,
    ~ ? [X9] :
        ( iext(uri_owl_targetIndividual,X9,uri_ex_o)
        & iext(uri_owl_assertionProperty,X9,uri_ex_p)
        & iext(uri_owl_sourceIndividual,X9,uri_ex_s)
        & iext(uri_rdf_type,X9,uri_owl_NegativePropertyAssertion) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_010_Negative_Property_Assertions]) ).

fof(c_0_17,plain,
    ! [X15,X16] :
      ( ( iext(uri_rdf_type,X15,X16)
        | ~ icext(X16,X15) )
      & ( icext(X16,X15)
        | ~ iext(uri_rdf_type,X15,X16) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_18,plain,
    ( ~ iext(uri_owl_sourceIndividual,X1,X2)
    | icext(uri_owl_NegativePropertyAssertion,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ ip(X1)
    | iext(uri_owl_sourceIndividual,esk3_3(X1,X2,X3),X2)
    | iext(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]) ).

fof(c_0_20,negated_conjecture,
    ! [X41] :
      ( ~ iext(uri_owl_targetIndividual,X41,uri_ex_o)
      | ~ iext(uri_owl_assertionProperty,X41,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,X41,uri_ex_s)
      | ~ iext(uri_rdf_type,X41,uri_owl_NegativePropertyAssertion) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

cnf(c_0_21,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_targetIndividual,esk3_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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

cnf(c_0_23,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | icext(uri_owl_NegativePropertyAssertion,esk3_3(X1,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_24,plain,
    ! [X19,X20] :
      ( ( ~ iext(uri_owl_onProperty,X19,X20)
        | ip(X20) )
      & ( ~ iext(uri_owl_onProperty,X19,X20)
        | icext(uri_owl_Restriction,X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])])]) ).

fof(c_0_25,plain,
    ( iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk7_0,uri_ex_o)
    & iext(uri_owl_oneOf,esk6_0,esk7_0)
    & iext(uri_owl_complementOf,esk5_0,esk6_0)
    & iext(uri_owl_allValuesFrom,esk4_0,esk5_0)
    & iext(uri_owl_onProperty,esk4_0,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_s,esk4_0)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_010_Negative_Property_Assertions])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ iext(uri_owl_targetIndividual,X1,uri_ex_o)
    | ~ iext(uri_owl_assertionProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_sourceIndividual,X1,uri_ex_s)
    | ~ iext(uri_rdf_type,X1,uri_owl_NegativePropertyAssertion) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( ~ ip(X1)
    | iext(uri_owl_targetIndividual,esk3_3(X1,X2,X3),X3)
    | iext(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_15]),c_0_15])]) ).

cnf(c_0_28,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | iext(uri_rdf_type,esk3_3(X1,X2,X3),uri_owl_NegativePropertyAssertion) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_assertionProperty,esk3_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,plain,
    ( ~ iext(uri_owl_onProperty,X2,X1)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    iext(uri_owl_onProperty,esk4_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_32,plain,
    ! [X4,X2] :
      ( iext(uri_owl_complementOf,X4,X2)
     => ( ! [X1] :
            ( icext(X4,X1)
          <=> ~ icext(X2,X1) )
        & ic(X2)
        & ic(X4) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

fof(c_0_33,plain,
    ! [X24,X25,X26,X27,X28] :
      ( ( ~ iext(uri_rdf_rest,X25,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X25,X26)
        | iext(uri_owl_oneOf,X24,X25)
        | ~ ic(X24)
        | esk1_3(X24,X25,X26) = X26
        | icext(X24,esk1_3(X24,X25,X26)) )
      & ( ~ iext(uri_rdf_rest,X25,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X25,X26)
        | iext(uri_owl_oneOf,X24,X25)
        | ~ ic(X24)
        | esk1_3(X24,X25,X26) != X26
        | ~ icext(X24,esk1_3(X24,X25,X26)) )
      & ( ~ iext(uri_rdf_rest,X25,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X25,X26)
        | ~ iext(uri_owl_oneOf,X24,X25)
        | icext(X24,X28)
        | X28 != X26 )
      & ( ~ iext(uri_rdf_rest,X25,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X25,X26)
        | ~ iext(uri_owl_oneOf,X24,X25)
        | X27 = X26
        | ~ icext(X24,X27) )
      & ( ~ iext(uri_rdf_rest,X25,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X25,X26)
        | ~ iext(uri_owl_oneOf,X24,X25)
        | ic(X24) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_34,plain,
    ! [X30,X31,X32,X33,X34,X35] :
      ( ( ~ iext(uri_owl_onProperty,X30,X31)
        | ~ iext(uri_owl_allValuesFrom,X30,X32)
        | icext(X30,X35)
        | ~ icext(X32,esk2_4(X30,X31,X32,X35)) )
      & ( ~ iext(uri_owl_onProperty,X30,X31)
        | ~ iext(uri_owl_allValuesFrom,X30,X32)
        | icext(X30,X35)
        | iext(X31,X35,esk2_4(X30,X31,X32,X35)) )
      & ( ~ iext(uri_owl_onProperty,X30,X31)
        | ~ iext(uri_owl_allValuesFrom,X30,X32)
        | icext(X32,X34)
        | ~ iext(X31,X33,X34)
        | ~ icext(X30,X33) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_35,negated_conjecture,
    ( ~ iext(uri_owl_assertionProperty,esk3_3(X1,X2,uri_ex_o),uri_ex_p)
    | ~ iext(uri_owl_sourceIndividual,esk3_3(X1,X2,uri_ex_o),uri_ex_s)
    | ~ ip(X1)
    | iext(X1,X2,uri_ex_o) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_36,plain,
    ( ~ ip(X1)
    | iext(uri_owl_assertionProperty,esk3_3(X1,X2,X3),X1)
    | iext(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_15]),c_0_15])]) ).

cnf(c_0_37,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_38,plain,
    ! [X21,X22,X23] :
      ( ( ~ iext(uri_owl_complementOf,X21,X22)
        | icext(X21,X23)
        | icext(X22,X23) )
      & ( ~ iext(uri_owl_complementOf,X21,X22)
        | ~ icext(X22,X23)
        | ~ icext(X21,X23) )
      & ( ~ iext(uri_owl_complementOf,X21,X22)
        | ic(X22) )
      & ( ~ iext(uri_owl_complementOf,X21,X22)
        | ic(X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).

cnf(c_0_39,plain,
    ( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_owl_oneOf,X3,X4)
    | X1 != X2
    | icext(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    ( ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_allValuesFrom,X1,X5)
    | ~ iext(X3,X2,X4)
    | ~ icext(X1,X2)
    | icext(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ iext(uri_owl_sourceIndividual,esk3_3(uri_ex_p,X1,uri_ex_o),uri_ex_s)
    | iext(uri_ex_p,X1,uri_ex_o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_42,plain,
    ( ~ iext(uri_owl_complementOf,X1,X3)
    | ~ icext(X3,X2)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    iext(uri_owl_complementOf,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_44,plain,
    ( ~ iext(uri_owl_oneOf,X1,X3)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | icext(X1,X2) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_o),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_46,plain,
    iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_47,plain,
    ( ~ iext(uri_owl_complementOf,X3,X1)
    | icext(X3,X2)
    | icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    ( ~ iext(uri_ex_p,X3,X2)
    | ~ iext(uri_owl_allValuesFrom,esk4_0,X1)
    | ~ icext(esk4_0,X3)
    | icext(X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_31]) ).

cnf(c_0_49,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_41,c_0_19]),c_0_37])]) ).

cnf(c_0_50,plain,
    ( ~ icext(esk5_0,X1)
    | ~ icext(esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,plain,
    ( ~ iext(uri_owl_oneOf,X1,esk7_0)
    | icext(X1,uri_ex_o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_52,plain,
    iext(uri_owl_oneOf,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_53,plain,
    ( icext(esk6_0,X1)
    | icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_43]) ).

cnf(c_0_54,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ iext(uri_owl_allValuesFrom,esk4_0,X1)
    | ~ icext(esk4_0,uri_ex_s)
    | icext(X1,uri_ex_o) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,plain,
    iext(uri_rdf_type,uri_ex_s,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_57,plain,
    ~ icext(esk5_0,uri_ex_o),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_58,plain,
    ( iext(uri_rdf_type,X1,esk6_0)
    | icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_53]) ).

cnf(c_0_59,plain,
    ( ~ iext(uri_rdf_type,X1,esk6_0)
    | ~ icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ iext(uri_owl_allValuesFrom,esk4_0,X1)
    | icext(X1,uri_ex_o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_56])]) ).

cnf(c_0_61,plain,
    iext(uri_rdf_type,uri_ex_o,esk6_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,plain,
    iext(uri_owl_allValuesFrom,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n006.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 07:37:56 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42  % Version: 3.5.1
% 0.13/0.42  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.42  % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42  % Starting new_bool_1 with 300s (1) cores
% 0.13/0.42  % Starting sh5l with 300s (1) cores
% 0.13/0.42  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2336872 completed with status 0
% 0.13/0.42  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.42  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.42  % No SInE strategy applied
% 0.13/0.42  % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.13/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.42  % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.42  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.13/0.42  % Starting new_bool_3 with 136s (1) cores
% 0.13/0.42  % SubtermCWHack with pid 2336878 completed with status 0
% 0.13/0.42  % Result found by SubtermCWHack
% 0.13/0.42  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.42  % No SInE strategy applied
% 0.13/0.42  % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.13/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.42  % Preprocessing time       : 0.001 s
% 0.13/0.42  
% 0.13/0.42  % Proof found!
% 0.13/0.42  % SZS status Theorem
% 0.13/0.42  % SZS output start CNFRefutation
% See solution above
% 0.13/0.42  % Parsed axioms                        : 10
% 0.13/0.42  % Removed by relevancy pruning/SinE    : 0
% 0.13/0.42  % Initial clauses                      : 31
% 0.13/0.42  % Removed in clause preprocessing      : 2
% 0.13/0.42  % Initial clauses in saturation        : 29
% 0.13/0.42  % Processed clauses                    : 92
% 0.13/0.42  % ...of these trivial                  : 0
% 0.13/0.42  % ...subsumed                          : 14
% 0.13/0.42  % ...remaining for further processing  : 78
% 0.13/0.42  % Other redundant clauses eliminated   : 1
% 0.13/0.42  % Clauses deleted for lack of memory   : 0
% 0.13/0.42  % Backward-subsumed                    : 1
% 0.13/0.42  % Backward-rewritten                   : 0
% 0.13/0.42  % Generated clauses                    : 109
% 0.13/0.42  % ...of the previous two non-redundant : 101
% 0.13/0.42  % ...aggressively subsumed             : 0
% 0.13/0.42  % Contextual simplify-reflections      : 1
% 0.13/0.42  % Paramodulations                      : 108
% 0.13/0.42  % Factorizations                       : 0
% 0.13/0.42  % NegExts                              : 0
% 0.13/0.42  % Equation resolutions                 : 1
% 0.13/0.42  % Disequality decompositions           : 0
% 0.13/0.42  % Total rewrite steps                  : 19
% 0.13/0.42  % ...of those cached                   : 11
% 0.13/0.42  % Propositional unsat checks           : 0
% 0.13/0.42  %    Propositional check models        : 0
% 0.13/0.42  %    Propositional check unsatisfiable : 0
% 0.13/0.42  %    Propositional clauses             : 0
% 0.13/0.42  %    Propositional clauses after purity: 0
% 0.13/0.42  %    Propositional unsat core size     : 0
% 0.13/0.42  %    Propositional preprocessing time  : 0.000
% 0.13/0.42  %    Propositional encoding time       : 0.000
% 0.13/0.42  %    Propositional solver time         : 0.000
% 0.13/0.42  %    Success case prop preproc time    : 0.000
% 0.13/0.42  %    Success case prop encoding time   : 0.000
% 0.13/0.42  %    Success case prop solver time     : 0.000
% 0.13/0.42  % Current number of processed clauses  : 76
% 0.13/0.42  %    Positive orientable unit clauses  : 15
% 0.13/0.42  %    Positive unorientable unit clauses: 0
% 0.13/0.42  %    Negative unit clauses             : 3
% 0.13/0.42  %    Non-unit-clauses                  : 58
% 0.13/0.42  % Current number of unprocessed clauses: 37
% 0.13/0.42  % ...number of literals in the above   : 187
% 0.13/0.42  % Current number of archived formulas  : 0
% 0.13/0.42  % Current number of archived clauses   : 2
% 0.13/0.42  % Clause-clause subsumption calls (NU) : 424
% 0.13/0.42  % Rec. Clause-clause subsumption calls : 205
% 0.13/0.42  % Non-unit clause-clause subsumptions  : 8
% 0.13/0.42  % Unit Clause-clause subsumption calls : 12
% 0.13/0.42  % Rewrite failures with RHS unbound    : 0
% 0.13/0.42  % BW rewrite match attempts            : 1
% 0.13/0.42  % BW rewrite match successes           : 0
% 0.13/0.42  % Condensation attempts                : 0
% 0.13/0.42  % Condensation successes               : 0
% 0.13/0.42  % Termbank termtop insertions          : 3864
% 0.13/0.42  % Search garbage collected termcells   : 461
% 0.13/0.42  
% 0.13/0.42  % -------------------------------------------------
% 0.13/0.42  % User time                : 0.010 s
% 0.13/0.42  % System time              : 0.002 s
% 0.13/0.42  % Total time               : 0.011 s
% 0.13/0.42  % Maximum resident set size: 3656 pages
% 0.13/0.42  
% 0.13/0.42  % -------------------------------------------------
% 0.13/0.42  % User time                : 0.023 s
% 0.13/0.42  % System time              : 0.012 s
% 0.13/0.42  % Total time               : 0.035 s
% 0.13/0.42  % Maximum resident set size: 4864 pages
% 0.13/0.42  % E exiting
%------------------------------------------------------------------------------