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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB010+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 1.88s 0.76s
% Output   : CNFRefutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  15 unt;   0 def)
%            Number of atoms       :  240 (   6 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  291 ( 110   ~; 113   |;  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   :  120 (   3 sgn  53   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_npa_object_fi,axiom,
    ! [X2,X21,X22] :
      ( ( ~ iext(X2,X21,X22)
        & ir(X22)
        & ip(X2)
        & ir(X21) )
     => ? [X11] :
          ( iext(uri_owl_targetIndividual,X11,X22)
          & iext(uri_owl_assertionProperty,X11,X2)
          & iext(uri_owl_sourceIndividual,X11,X21) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_npa_object_fi) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(testcase_conclusion_fullish_010_Negative_Property_Assertions,conjecture,
    ? [X42] :
      ( iext(uri_owl_targetIndividual,X42,uri_ex_o)
      & iext(uri_owl_assertionProperty,X42,uri_ex_p)
      & iext(uri_owl_sourceIndividual,X42,uri_ex_s)
      & iext(uri_rdf_type,X42,uri_owl_NegativePropertyAssertion) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).

fof(owl_prop_assertionproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_assertionProperty,X4,X7)
     => ( ip(X7)
        & icext(uri_owl_NegativePropertyAssertion,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_assertionproperty_ext) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(owl_bool_complementof_class,axiom,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) )
        & ic(X5)
        & ic(X11) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_rest,X12,uri_rdf_nil)
        & iext(uri_rdf_first,X12,X21) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 )
          & ic(X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(owl_restrict_allvaluesfrom,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_allValuesFrom,X11,X5) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ! [X7] :
              ( iext(X2,X4,X7)
             => icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_allvaluesfrom) ).

fof(testcase_premise_fullish_010_Negative_Property_Assertions,axiom,
    ? [X43,X44,X45,X46] :
      ( iext(uri_rdf_rest,X46,uri_rdf_nil)
      & iext(uri_rdf_first,X46,uri_ex_o)
      & iext(uri_owl_oneOf,X45,X46)
      & iext(uri_owl_complementOf,X44,X45)
      & iext(uri_owl_allValuesFrom,X43,X44)
      & iext(uri_owl_onProperty,X43,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_s,X43)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).

fof(owl_prop_onproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onProperty,X4,X7)
     => ( ip(X7)
        & icext(uri_owl_Restriction,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_onproperty_ext) ).

fof(c_0_10,plain,
    ! [X2,X21,X22] :
      ( ( ~ iext(X2,X21,X22)
        & ir(X22)
        & ip(X2)
        & ir(X21) )
     => ? [X11] :
          ( iext(uri_owl_targetIndividual,X11,X22)
          & iext(uri_owl_assertionProperty,X11,X2)
          & iext(uri_owl_sourceIndividual,X11,X21) ) ),
    inference(fof_simplification,[status(thm)],[owl_npa_object_fi]) ).

fof(c_0_11,plain,
    ! [X54,X55,X56] :
      ( ( iext(X54,X55,X56)
        | ~ ir(X56)
        | ~ ip(X54)
        | ~ ir(X55)
        | iext(uri_owl_targetIndividual,esk5_3(X54,X55,X56),X56) )
      & ( iext(X54,X55,X56)
        | ~ ir(X56)
        | ~ ip(X54)
        | ~ ir(X55)
        | iext(uri_owl_assertionProperty,esk5_3(X54,X55,X56),X54) )
      & ( iext(X54,X55,X56)
        | ~ ir(X56)
        | ~ ip(X54)
        | ~ ir(X55)
        | iext(uri_owl_sourceIndividual,esk5_3(X54,X55,X56),X55) ) ),
    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,
    ! [X130] : ir(X130),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_13,negated_conjecture,
    ~ ? [X42] :
        ( iext(uri_owl_targetIndividual,X42,uri_ex_o)
        & iext(uri_owl_assertionProperty,X42,uri_ex_p)
        & iext(uri_owl_sourceIndividual,X42,uri_ex_s)
        & iext(uri_rdf_type,X42,uri_owl_NegativePropertyAssertion) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_010_Negative_Property_Assertions]) ).

fof(c_0_14,plain,
    ! [X62,X63] :
      ( ( ~ iext(uri_owl_assertionProperty,X62,X63)
        | ip(X63) )
      & ( ~ iext(uri_owl_assertionProperty,X62,X63)
        | icext(uri_owl_NegativePropertyAssertion,X62) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_assertionproperty_ext])])])]) ).

cnf(c_0_15,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_assertionProperty,esk5_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,negated_conjecture,
    ! [X47] :
      ( ~ iext(uri_owl_targetIndividual,X47,uri_ex_o)
      | ~ iext(uri_owl_assertionProperty,X47,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,X47,uri_ex_s)
      | ~ iext(uri_rdf_type,X47,uri_owl_NegativePropertyAssertion) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_18,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_targetIndividual,esk5_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_19,plain,
    ! [X67,X68] :
      ( ( iext(uri_rdf_type,X67,X68)
        | ~ icext(X68,X67) )
      & ( icext(X68,X67)
        | ~ iext(uri_rdf_type,X67,X68) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_20,plain,
    ( ~ iext(uri_owl_assertionProperty,X1,X2)
    | icext(uri_owl_NegativePropertyAssertion,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | iext(uri_owl_assertionProperty,esk5_3(X1,X2,X3),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16])]) ).

fof(c_0_22,plain,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) )
        & ic(X5)
        & ic(X11) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

fof(c_0_23,plain,
    ! [X76,X77,X78,X79,X80] :
      ( ( ~ iext(uri_rdf_rest,X77,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X77,X78)
        | iext(uri_owl_oneOf,X76,X77)
        | ~ ic(X76)
        | esk7_3(X76,X77,X78) = X78
        | icext(X76,esk7_3(X76,X77,X78)) )
      & ( ~ iext(uri_rdf_rest,X77,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X77,X78)
        | iext(uri_owl_oneOf,X76,X77)
        | ~ ic(X76)
        | esk7_3(X76,X77,X78) != X78
        | ~ icext(X76,esk7_3(X76,X77,X78)) )
      & ( ~ iext(uri_rdf_rest,X77,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X77,X78)
        | ~ iext(uri_owl_oneOf,X76,X77)
        | icext(X76,X80)
        | X80 != X78 )
      & ( ~ iext(uri_rdf_rest,X77,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X77,X78)
        | ~ iext(uri_owl_oneOf,X76,X77)
        | X79 = X78
        | ~ icext(X76,X79) )
      & ( ~ iext(uri_rdf_rest,X77,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X77,X78)
        | ~ iext(uri_owl_oneOf,X76,X77)
        | ic(X76) ) ),
    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_24,plain,
    ! [X122,X123,X124,X125,X126,X127] :
      ( ( ~ iext(uri_owl_onProperty,X122,X123)
        | ~ iext(uri_owl_allValuesFrom,X122,X124)
        | icext(X122,X127)
        | ~ icext(X124,esk10_4(X122,X123,X124,X127)) )
      & ( ~ iext(uri_owl_onProperty,X122,X123)
        | ~ iext(uri_owl_allValuesFrom,X122,X124)
        | icext(X122,X127)
        | iext(X123,X127,esk10_4(X122,X123,X124,X127)) )
      & ( ~ iext(uri_owl_onProperty,X122,X123)
        | ~ iext(uri_owl_allValuesFrom,X122,X124)
        | icext(X124,X126)
        | ~ iext(X123,X125,X126)
        | ~ icext(X122,X125) ) ),
    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])])])])])])]) ).

fof(c_0_25,plain,
    ( iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk4_0,uri_ex_o)
    & iext(uri_owl_oneOf,esk3_0,esk4_0)
    & iext(uri_owl_complementOf,esk2_0,esk3_0)
    & iext(uri_owl_allValuesFrom,esk1_0,esk2_0)
    & iext(uri_owl_onProperty,esk1_0,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_s,esk1_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_17]) ).

cnf(c_0_27,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | iext(uri_owl_targetIndividual,esk5_3(X1,X2,X3),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_16])]) ).

cnf(c_0_28,plain,
    ( ~ ir(X3)
    | ~ ip(X1)
    | ~ ir(X2)
    | iext(X1,X2,X3)
    | iext(uri_owl_sourceIndividual,esk5_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | icext(uri_owl_NegativePropertyAssertion,esk5_3(X1,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_31,plain,
    ! [X172,X173] :
      ( ( ~ iext(uri_owl_onProperty,X172,X173)
        | ip(X173) )
      & ( ~ iext(uri_owl_onProperty,X172,X173)
        | icext(uri_owl_Restriction,X172) ) ),
    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_32,plain,
    ! [X117,X118,X119] :
      ( ( ~ iext(uri_owl_complementOf,X117,X118)
        | icext(X117,X119)
        | icext(X118,X119) )
      & ( ~ iext(uri_owl_complementOf,X117,X118)
        | ~ icext(X118,X119)
        | ~ icext(X117,X119) )
      & ( ~ iext(uri_owl_complementOf,X117,X118)
        | ic(X118) )
      & ( ~ iext(uri_owl_complementOf,X117,X118)
        | ic(X117) ) ),
    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_22])])])])]) ).

cnf(c_0_33,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_23]) ).

cnf(c_0_34,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_24]) ).

cnf(c_0_35,plain,
    iext(uri_owl_allValuesFrom,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ iext(uri_owl_sourceIndividual,esk5_3(X1,X2,uri_ex_o),uri_ex_s)
    | ~ iext(uri_owl_assertionProperty,esk5_3(X1,X2,uri_ex_o),uri_ex_p)
    | ~ iext(uri_rdf_type,esk5_3(X1,X2,uri_ex_o),uri_owl_NegativePropertyAssertion)
    | ~ ip(X1)
    | iext(X1,X2,uri_ex_o) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | iext(uri_owl_sourceIndividual,esk5_3(X1,X2,X3),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_16]),c_0_16])]) ).

cnf(c_0_38,plain,
    ( ~ ip(X1)
    | iext(X1,X2,X3)
    | iext(uri_rdf_type,esk5_3(X1,X2,X3),uri_owl_NegativePropertyAssertion) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    ( ~ iext(uri_owl_onProperty,X2,X1)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,plain,
    iext(uri_owl_onProperty,esk1_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_41,plain,
    ( ~ iext(uri_owl_complementOf,X1,X3)
    | ~ icext(X3,X2)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    iext(uri_owl_complementOf,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_43,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_33]) ).

cnf(c_0_44,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_o),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_46,plain,
    ( ~ iext(X3,X2,X1)
    | ~ iext(uri_owl_onProperty,esk1_0,X3)
    | ~ icext(esk1_0,X2)
    | icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ iext(uri_owl_assertionProperty,esk5_3(X1,uri_ex_s,uri_ex_o),uri_ex_p)
    | ~ ip(X1)
    | iext(X1,uri_ex_s,uri_ex_o) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_48,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_49,plain,
    ( ~ icext(esk2_0,X1)
    | ~ icext(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    ( ~ iext(uri_owl_oneOf,X1,esk4_0)
    | icext(X1,uri_ex_o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_51,plain,
    iext(uri_owl_oneOf,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_52,plain,
    ( ~ iext(uri_ex_p,X2,X1)
    | ~ icext(esk1_0,X2)
    | icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_40]) ).

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_21]),c_0_48])]) ).

cnf(c_0_54,plain,
    ~ icext(esk2_0,uri_ex_o),
    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(esk1_0,uri_ex_s),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_56,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_57,plain,
    iext(uri_rdf_type,uri_ex_s,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB010+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n010.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 07:38:40 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.88/0.76  % Version: 3.5.1
% 1.88/0.76  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.88/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.76  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.88/0.76  % Starting new_bool_3 with 600s (2) cores
% 1.88/0.76  % Starting new_bool_1 with 600s (2) cores
% 1.88/0.76  % Starting sh5l with 300s (1) cores
% 1.88/0.76  % new_bool_3 with pid 387393 completed with status 0
% 1.88/0.76  % Result found by new_bool_3
% 1.88/0.76  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.88/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.76  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.88/0.76  % Starting new_bool_3 with 600s (2) cores
% 1.88/0.76  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.88/0.76  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.88/0.76  % Search class: FGHSF-FSLM33-SFFFFFNN
% 1.88/0.76  % Scheduled 11 strats onto 2 cores with 600 seconds (600 total)
% 1.88/0.76  % Starting SubtermCWHack with 55s (1) cores
% 1.88/0.76  % Starting new_bool_3 with 61s (1) cores
% 1.88/0.76  % SubtermCWHack with pid 387396 completed with status 0
% 1.88/0.76  % Result found by SubtermCWHack
% 1.88/0.76  % Preprocessing class: FSLMSMSLSSSNFFN.
% 1.88/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.88/0.76  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.88/0.76  % Starting new_bool_3 with 600s (2) cores
% 1.88/0.76  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.88/0.76  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.88/0.76  % Search class: FGHSF-FSLM33-SFFFFFNN
% 1.88/0.76  % Scheduled 11 strats onto 2 cores with 600 seconds (600 total)
% 1.88/0.76  % Starting SubtermCWHack with 55s (1) cores
% 1.88/0.76  % Preprocessing time       : 0.002 s
% 1.88/0.76  
% 1.88/0.76  % Proof found!
% 1.88/0.76  % SZS status Theorem
% 1.88/0.76  % SZS output start CNFRefutation
% See solution above
% 1.88/0.76  % Parsed axioms                        : 560
% 1.88/0.76  % Removed by relevancy pruning/SinE    : 485
% 1.88/0.76  % Initial clauses                      : 138
% 1.88/0.76  % Removed in clause preprocessing      : 0
% 1.88/0.76  % Initial clauses in saturation        : 138
% 1.88/0.76  % Processed clauses                    : 5227
% 1.88/0.76  % ...of these trivial                  : 27
% 1.88/0.76  % ...subsumed                          : 2990
% 1.88/0.76  % ...remaining for further processing  : 2210
% 1.88/0.76  % Other redundant clauses eliminated   : 6
% 1.88/0.76  % Clauses deleted for lack of memory   : 0
% 1.88/0.76  % Backward-subsumed                    : 190
% 1.88/0.76  % Backward-rewritten                   : 3
% 1.88/0.76  % Generated clauses                    : 14083
% 1.88/0.76  % ...of the previous two non-redundant : 11834
% 1.88/0.76  % ...aggressively subsumed             : 0
% 1.88/0.76  % Contextual simplify-reflections      : 45
% 1.88/0.76  % Paramodulations                      : 14074
% 1.88/0.76  % Factorizations                       : 0
% 1.88/0.76  % NegExts                              : 0
% 1.88/0.76  % Equation resolutions                 : 6
% 1.88/0.76  % Disequality decompositions           : 0
% 1.88/0.76  % Total rewrite steps                  : 4025
% 1.88/0.76  % ...of those cached                   : 3869
% 1.88/0.76  % Propositional unsat checks           : 0
% 1.88/0.76  %    Propositional check models        : 0
% 1.88/0.76  %    Propositional check unsatisfiable : 0
% 1.88/0.76  %    Propositional clauses             : 0
% 1.88/0.76  %    Propositional clauses after purity: 0
% 1.88/0.76  %    Propositional unsat core size     : 0
% 1.88/0.76  %    Propositional preprocessing time  : 0.000
% 1.88/0.76  %    Propositional encoding time       : 0.000
% 1.88/0.76  %    Propositional solver time         : 0.000
% 1.88/0.76  %    Success case prop preproc time    : 0.000
% 1.88/0.76  %    Success case prop encoding time   : 0.000
% 1.88/0.76  %    Success case prop solver time     : 0.000
% 1.88/0.76  % Current number of processed clauses  : 2008
% 1.88/0.76  %    Positive orientable unit clauses  : 162
% 1.88/0.76  %    Positive unorientable unit clauses: 0
% 1.88/0.76  %    Negative unit clauses             : 12
% 1.88/0.76  %    Non-unit-clauses                  : 1834
% 1.88/0.76  % Current number of unprocessed clauses: 6379
% 1.88/0.76  % ...number of literals in the above   : 31561
% 1.88/0.76  % Current number of archived formulas  : 0
% 1.88/0.76  % Current number of archived clauses   : 196
% 1.88/0.76  % Clause-clause subsumption calls (NU) : 604185
% 1.88/0.76  % Rec. Clause-clause subsumption calls : 305963
% 1.88/0.76  % Non-unit clause-clause subsumptions  : 2633
% 1.88/0.76  % Unit Clause-clause subsumption calls : 2627
% 1.88/0.76  % Rewrite failures with RHS unbound    : 0
% 1.88/0.76  % BW rewrite match attempts            : 74
% 1.88/0.76  % BW rewrite match successes           : 3
% 1.88/0.76  % Condensation attempts                : 0
% 1.88/0.76  % Condensation successes               : 0
% 1.88/0.76  % Termbank termtop insertions          : 202887
% 1.88/0.76  % Search garbage collected termcells   : 4347
% 1.88/0.76  
% 1.88/0.76  % -------------------------------------------------
% 1.88/0.76  % User time                : 0.291 s
% 1.88/0.76  % System time              : 0.014 s
% 1.88/0.76  % Total time               : 0.304 s
% 1.88/0.76  % Maximum resident set size: 4644 pages
% 1.88/0.76  
% 1.88/0.76  % -------------------------------------------------
% 1.88/0.76  % User time                : 0.581 s
% 1.88/0.76  % System time              : 0.025 s
% 1.88/0.76  % Total time               : 0.607 s
% 1.88/0.76  % Maximum resident set size: 5376 pages
% 1.88/0.76  % E exiting
%------------------------------------------------------------------------------