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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB088+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 02:37:19 PM UTC 2026

% Result   : Theorem 67.49s 9.19s
% Output   : CNFRefutation 62.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   75 (  17 unt;   0 def)
%            Number of atoms       :  370 (  38 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  479 ( 184   ~; 208   |;  74   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-4 aty)
%            Number of variables   :  189 ( 177   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,axiom,
    ! [X] :
      ( icext(uri_owl_Restriction,X)
     => ic(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f227,axiom,
    ! [X,Y] :
      ( iext(uri_owl_maxQualifiedCardinality,X,Y)
     => ( icext(uri_xml_nonNegativeInteger,Y)
        & icext(uri_owl_Restriction,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f325,axiom,
    ! [Z,P,C] :
      ( ( iext(uri_owl_onClass,Z,C)
        & iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X] :
          ( icext(Z,X)
        <=> ! [Y1,Y2] :
              ( ( icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
             => Y2 = Y1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f326,axiom,
    ! [Z,P,C] :
      ( ( iext(uri_owl_onClass,Z,C)
        & iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) )
     => ! [X] :
          ( icext(Z,X)
        <=> ! [Y1,Y2,Y3] :
              ( ( icext(C,Y3)
                & iext(P,X,Y3)
                & icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
             => ( Y3 = Y2
                | Y3 = Y1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f343,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
           => icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_onClass,uri_ex_x1,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onClass,uri_ex_x2,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f853,plain,
    ! [X] :
      ( ic(X)
      | ~ icext(uri_owl_Restriction,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f159]) ).

fof(f854,plain,
    ! [X0] :
      ( ic(X0)
      | ~ icext(uri_owl_Restriction,X0) ),
    inference(cnf_transformation,[status(thm)],[f853]) ).

fof(f981,plain,
    ! [X,Y] :
      ( ( icext(uri_xml_nonNegativeInteger,Y)
        & icext(uri_owl_Restriction,X) )
      | ~ iext(uri_owl_maxQualifiedCardinality,X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f227]) ).

fof(f982,plain,
    ! [X0,X1] :
      ( icext(uri_owl_Restriction,X0)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f981]) ).

fof(f1561,plain,
    ! [Z,P,C] :
      ( ! [X] :
          ( icext(Z,X)
        <=> ! [Y1,Y2] :
              ( Y2 = Y1
              | ~ icext(C,Y2)
              | ~ iext(P,X,Y2)
              | ~ icext(C,Y1)
              | ~ iext(P,X,Y1) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(pre_NNF_transformation,[status(thm)],[f325]) ).

fof(f1562,plain,
    ! [Z,P,C] :
      ( ! [X] :
          ( ( ? [Y1,Y2] :
                ( Y2 != Y1
                & icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
            | icext(Z,X) )
          & ( ! [Y1,Y2] :
                ( Y2 = Y1
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(NNF_transformation,[status(thm)],[f1561]) ).

fof(f1563,plain,
    ! [Z,P,C] :
      ( ( ! [X] :
            ( ? [Y1,Y2] :
                ( Y2 != Y1
                & icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
            | icext(Z,X) )
        & ! [X] :
            ( ! [Y1,Y2] :
                ( Y2 = Y1
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(miniscoping,[status(thm)],[f1562]) ).

fof(f1564,plain,
    ! [Z,P,C] :
      ( ( ! [X] :
            ( ( sK84_skl(X,C,P,Z) != sK83_skl(X,C,P,Z)
              & icext(C,sK84_skl(X,C,P,Z))
              & iext(P,X,sK84_skl(X,C,P,Z))
              & icext(C,sK83_skl(X,C,P,Z))
              & iext(P,X,sK83_skl(X,C,P,Z)) )
            | icext(Z,X) )
        & ! [X] :
            ( ! [Y1,Y2] :
                ( Y2 = Y1
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK83_skl,sK84_skl]),skolemize(Y1,sK83_skl(X,C,P,Z)),skolemize(Y2,sK84_skl(X,C,P,Z))],[f1563]) ).

fof(f1565,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X5 = X4
      | ~ icext(X2,X5)
      | ~ iext(X1,X3,X5)
      | ~ icext(X2,X4)
      | ~ iext(X1,X3,X4)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1571,plain,
    ! [Z,P,C] :
      ( ! [X] :
          ( icext(Z,X)
        <=> ! [Y1,Y2,Y3] :
              ( Y3 = Y2
              | Y3 = Y1
              | ~ icext(C,Y3)
              | ~ iext(P,X,Y3)
              | ~ icext(C,Y2)
              | ~ iext(P,X,Y2)
              | ~ icext(C,Y1)
              | ~ iext(P,X,Y1) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(pre_NNF_transformation,[status(thm)],[f326]) ).

fof(f1572,plain,
    ! [Z,P,C] :
      ( ! [X] :
          ( ( ? [Y1,Y2,Y3] :
                ( Y3 != Y2
                & Y3 != Y1
                & icext(C,Y3)
                & iext(P,X,Y3)
                & icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
            | icext(Z,X) )
          & ( ! [Y1,Y2,Y3] :
                ( Y3 = Y2
                | Y3 = Y1
                | ~ icext(C,Y3)
                | ~ iext(P,X,Y3)
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(NNF_transformation,[status(thm)],[f1571]) ).

fof(f1573,plain,
    ! [Z,P,C] :
      ( ( ! [X] :
            ( ? [Y1,Y2,Y3] :
                ( Y3 != Y2
                & Y3 != Y1
                & icext(C,Y3)
                & iext(P,X,Y3)
                & icext(C,Y2)
                & iext(P,X,Y2)
                & icext(C,Y1)
                & iext(P,X,Y1) )
            | icext(Z,X) )
        & ! [X] :
            ( ! [Y1,Y2,Y3] :
                ( Y3 = Y2
                | Y3 = Y1
                | ~ icext(C,Y3)
                | ~ iext(P,X,Y3)
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(miniscoping,[status(thm)],[f1572]) ).

fof(f1574,plain,
    ! [Z,P,C] :
      ( ( ! [X] :
            ( ( sK87_skl(X,C,P,Z) != sK86_skl(X,C,P,Z)
              & sK87_skl(X,C,P,Z) != sK85_skl(X,C,P,Z)
              & icext(C,sK87_skl(X,C,P,Z))
              & iext(P,X,sK87_skl(X,C,P,Z))
              & icext(C,sK86_skl(X,C,P,Z))
              & iext(P,X,sK86_skl(X,C,P,Z))
              & icext(C,sK85_skl(X,C,P,Z))
              & iext(P,X,sK85_skl(X,C,P,Z)) )
            | icext(Z,X) )
        & ! [X] :
            ( ! [Y1,Y2,Y3] :
                ( Y3 = Y2
                | Y3 = Y1
                | ~ icext(C,Y3)
                | ~ iext(P,X,Y3)
                | ~ icext(C,Y2)
                | ~ iext(P,X,Y2)
                | ~ icext(C,Y1)
                | ~ iext(P,X,Y1) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onClass,Z,C)
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_maxQualifiedCardinality,Z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK85_skl,sK86_skl,sK87_skl]),skolemize(Y1,sK85_skl(X,C,P,Z)),skolemize(Y2,sK86_skl(X,C,P,Z)),skolemize(Y3,sK87_skl(X,C,P,Z))],[f1573]) ).

fof(f1578,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X1,X3,sK86_skl(X3,X2,X1,X0))
      | icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1574]) ).

fof(f1579,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X2,sK86_skl(X3,X2,X1,X0))
      | icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1574]) ).

fof(f1580,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X1,X3,sK87_skl(X3,X2,X1,X0))
      | icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1574]) ).

fof(f1581,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X2,sK87_skl(X3,X2,X1,X0))
      | icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1574]) ).

fof(f1583,plain,
    ! [X0,X1,X2,X3] :
      ( sK87_skl(X3,X2,X1,X0) != sK86_skl(X3,X2,X1,X0)
      | icext(X0,X3)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1574]) ).

fof(f1731,plain,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ! [X] :
            ( icext(C2,X)
            | ~ icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f343]) ).

fof(f1732,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
      & ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(NNF_transformation,[status(thm)],[f1731]) ).

fof(f1733,plain,
    ( ! [C1,C2] :
        ( ? [X] :
            ( ~ icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(miniscoping,[status(thm)],[f1732]) ).

fof(f1734,plain,
    ( ! [C1,C2] :
        ( ( ~ icext(C2,sK115_skl(C2,C1))
          & icext(C1,sK115_skl(C2,C1)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_rdfs_subClassOf,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK115_skl]),skolemize(X,sK115_skl(C2,C1))],[f1733]) ).

fof(f1738,plain,
    ! [X0,X1] :
      ( icext(X0,sK115_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1734]) ).

fof(f1739,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK115_skl(X1,X0))
      | ~ ic(X1)
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1734]) ).

fof(f2405,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(cnf_transformation,[status(thm)],[f560]) ).

fof(f2406,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2407,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2408,plain,
    iext(uri_owl_onClass,uri_ex_x2,uri_ex_c),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2409,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2410,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2411,plain,
    iext(uri_owl_onClass,uri_ex_x1,uri_ex_c),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f6797,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(resolution,[status(thm)],[f982,f2409]) ).

fof(f6798,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(resolution,[status(thm)],[f982,f2406]) ).

fof(f6799,plain,
    ic(uri_ex_x1),
    inference(resolution,[status(thm)],[f6797,f854]) ).

fof(f6807,plain,
    ic(uri_ex_x2),
    inference(resolution,[status(thm)],[f6798,f854]) ).

fof(f11352,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X4 = X3
      | ~ icext(X1,X4)
      | ~ iext(X0,X2,X4)
      | ~ icext(X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ icext(uri_ex_x1,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x1,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f1565,f2409]) ).

fof(f11353,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X2
      | ~ icext(X0,X3)
      | ~ iext(uri_ex_p,X1,X3)
      | ~ icext(X0,X2)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ icext(uri_ex_x1,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f11352,f2410]) ).

fof(f11354,plain,
    ! [X0,X1,X2] :
      ( X2 = X1
      | ~ icext(uri_ex_c,X2)
      | ~ iext(uri_ex_p,X0,X2)
      | ~ icext(uri_ex_c,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f11353,f2411]) ).

fof(f11436,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X2,sK86_skl(X2,X1,X0,uri_ex_x2))
      | icext(uri_ex_x2,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f1578,f2406]) ).

fof(f11437,plain,
    ! [X0,X1,X2] :
      ( icext(X1,sK86_skl(X2,X1,X0,uri_ex_x2))
      | icext(uri_ex_x2,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f1579,f2406]) ).

fof(f11467,plain,
    ! [X0,X1] :
      ( iext(uri_ex_p,X1,sK86_skl(X1,X0,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11436,f2407]) ).

fof(f11468,plain,
    ! [X0,X1] :
      ( icext(X0,sK86_skl(X1,X0,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11437,f2407]) ).

fof(f11921,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X2,sK87_skl(X2,X1,X0,uri_ex_x2))
      | icext(uri_ex_x2,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f1580,f2406]) ).

fof(f11922,plain,
    ! [X0,X1,X2] :
      ( icext(X1,sK87_skl(X2,X1,X0,uri_ex_x2))
      | icext(uri_ex_x2,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f1581,f2406]) ).

fof(f11924,plain,
    ! [X0,X1] :
      ( iext(uri_ex_p,X1,sK87_skl(X1,X0,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11921,f2407]) ).

fof(f11925,plain,
    ! [X0,X1] :
      ( icext(X0,sK87_skl(X1,X0,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11922,f2407]) ).

fof(f11927,plain,
    ! [X0,X1,X2] :
      ( sK87_skl(X2,X1,X0,uri_ex_x2) != sK86_skl(X2,X1,X0,uri_ex_x2)
      | icext(uri_ex_x2,X2)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X1)
      | ~ iext(uri_owl_onProperty,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f1583,f2406]) ).

fof(f11928,plain,
    ! [X0,X1] :
      ( sK87_skl(X1,X0,uri_ex_p,uri_ex_x2) != sK86_skl(X1,X0,uri_ex_p,uri_ex_x2)
      | icext(uri_ex_x2,X1)
      | ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11927,f2407]) ).

fof(f11929,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11467,f2408]) ).

fof(f11930,plain,
    ! [X0] :
      ( icext(uri_ex_c,sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11468,f2408]) ).

fof(f11931,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11924,f2408]) ).

fof(f11940,plain,
    ! [X0,X1] :
      ( X1 = sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_c,sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0)
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11929,f11354]) ).

fof(f11945,plain,
    ! [X0,X1] :
      ( X1 = sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_x1,X0)
      | icext(uri_ex_x2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f11940,f11930]) ).

fof(f11959,plain,
    ! [X0] :
      ( icext(uri_ex_c,sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11925,f2408]) ).

fof(f11972,plain,
    ! [X0] :
      ( sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2) != sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11928,f2408]) ).

fof(f11999,plain,
    ! [X0] :
      ( icext(uri_ex_x2,X0)
      | sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2) = sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c,sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0)
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11945,f11931]) ).

fof(f12004,plain,
    ! [X0] :
      ( sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2) = sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c,sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0)
      | icext(uri_ex_x2,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f11999]) ).

fof(f12005,plain,
    ! [X0] :
      ( sK87_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2) = sK86_skl(X0,uri_ex_c,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_x1,X0)
      | icext(uri_ex_x2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12004,f11959]) ).

fof(f13047,plain,
    ! [X0] :
      ( icext(uri_ex_x1,sK115_skl(X0,uri_ex_x1))
      | ~ ic(X0)
      | iext(uri_rdfs_subClassOf,uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f1738,f6799]) ).

fof(f14070,plain,
    ( icext(uri_ex_x1,sK115_skl(uri_ex_x2,uri_ex_x1))
    | iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2) ),
    inference(resolution,[status(thm)],[f13047,f6807]) ).

fof(f14141,plain,
    icext(uri_ex_x1,sK115_skl(uri_ex_x2,uri_ex_x1)),
    inference(forward_subsumption_resolution,[status(thm)],[f14070,f2405]) ).

fof(f14147,plain,
    ( sK87_skl(sK115_skl(uri_ex_x2,uri_ex_x1),uri_ex_c,uri_ex_p,uri_ex_x2) = sK86_skl(sK115_skl(uri_ex_x2,uri_ex_x1),uri_ex_c,uri_ex_p,uri_ex_x2)
    | icext(uri_ex_x2,sK115_skl(uri_ex_x2,uri_ex_x1)) ),
    inference(resolution,[status(thm)],[f14141,f12005]) ).

fof(f14156,plain,
    icext(uri_ex_x2,sK115_skl(uri_ex_x2,uri_ex_x1)),
    inference(forward_subsumption_resolution,[status(thm)],[f14147,f11972]) ).

fof(f14158,plain,
    ( ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2) ),
    inference(resolution,[status(thm)],[f14156,f1739]) ).

fof(f14165,plain,
    ( ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f14158,f2405]) ).

fof(f14166,plain,
    ~ ic(uri_ex_x1),
    inference(resolution,[status(thm)],[f14165,f6807]) ).

fof(f14167,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f14166,f6799]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB088+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  % Computer : n020.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Mon Sep 21 07:47:18 UTC 2026
% 0.20/0.46  % CPUTime  : 
% 0.23/0.56  % Drodi V4.1.1
% 67.49/9.19  % Refutation found
% 67.49/9.19  % SZS status Theorem for theBenchmark: Theorem is valid
% 67.49/9.19  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 62.63/9.24  % Elapsed time: 8.758858 seconds
% 62.63/9.24  % CPU time: 68.397094 seconds
% 62.63/9.24  % Total memory used: 276.349 MB
% 62.63/9.24  % Net memory used: 261.068 MB
%------------------------------------------------------------------------------