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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB089+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 02:37:19 PM UTC 2026

% Result   : Theorem 44.92s 21.48s
% Output   : CNFRefutation 44.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   77 (  18 unt;   0 def)
%            Number of atoms       :  304 (  22 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  371 ( 144   ~; 168   |;  48   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-4 aty)
%            Number of variables   :  158 ( 152   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,axiom,
    ! [C,D] :
      ( iext(uri_rdfs_subClassOf,C,D)
     => ( ! [X] :
            ( icext(C,X)
           => icext(D,X) )
        & ic(D)
        & ic(C) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox/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_c1)
    & 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_rdfs_subClassOf,uri_ex_c2,uri_ex_c1)
    & iext(uri_owl_onClass,uri_ex_x2,uri_ex_c2)
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f654,plain,
    ! [C,D] :
      ( ( ! [X] :
            ( icext(D,X)
            | ~ icext(C,X) )
        & ic(D)
        & ic(C) )
      | ~ iext(uri_rdfs_subClassOf,C,D) ),
    inference(pre_NNF_transformation,[status(thm)],[f68]) ).

fof(f657,plain,
    ! [X0,X1,X2] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f654]) ).

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(f1566,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X1,X3,sK83_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_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1567,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X2,sK83_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_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1568,plain,
    ! [X0,X1,X2,X3] :
      ( iext(X1,X3,sK84_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_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1569,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X2,sK84_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_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1570,plain,
    ! [X0,X1,X2,X3] :
      ( sK84_skl(X3,X2,X1,X0) != sK83_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_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

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_1,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_c2),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2409,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2410,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[status(thm)],[f561]) ).

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

fof(f2412,plain,
    iext(uri_owl_onClass,uri_ex_x1,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f6287,plain,
    ! [X0] :
      ( icext(uri_ex_c1,X0)
      | ~ icext(uri_ex_c2,X0) ),
    inference(resolution,[status(thm)],[f2409,f657]) ).

fof(f6760,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(resolution,[status(thm)],[f982,f2410]) ).

fof(f6761,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(resolution,[status(thm)],[f982,f2406]) ).

fof(f6762,plain,
    ic(uri_ex_x1),
    inference(resolution,[status(thm)],[f6760,f854]) ).

fof(f6770,plain,
    ic(uri_ex_x2),
    inference(resolution,[status(thm)],[f6761,f854]) ).

fof(f11448,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,f2410]) ).

fof(f11451,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X2,sK83_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)],[f1566,f2406]) ).

fof(f11453,plain,
    ! [X0,X1,X2] :
      ( icext(X1,sK83_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)],[f1567,f2406]) ).

fof(f11455,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X2,sK84_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)],[f1568,f2406]) ).

fof(f11462,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)],[f11448,f2411]) ).

fof(f11468,plain,
    ! [X0,X1] :
      ( icext(X0,sK83_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)],[f11453,f2407]) ).

fof(f11469,plain,
    ! [X0] :
      ( icext(uri_ex_c2,sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11468,f2408]) ).

fof(f11470,plain,
    ! [X0] :
      ( icext(uri_ex_c1,sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11469,f6287]) ).

fof(f11487,plain,
    ! [X0,X1,X2] :
      ( icext(X1,sK84_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)],[f1569,f2406]) ).

fof(f11489,plain,
    ! [X0,X1,X2] :
      ( sK84_skl(X2,X1,X0,uri_ex_x2) != sK83_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)],[f1570,f2406]) ).

fof(f11500,plain,
    ! [X0,X1] :
      ( iext(uri_ex_p,X1,sK83_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)],[f11451,f2407]) ).

fof(f11501,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11500,f2408]) ).

fof(f11513,plain,
    ! [X0,X1] :
      ( iext(uri_ex_p,X1,sK84_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)],[f11455,f2407]) ).

fof(f11524,plain,
    ! [X0,X1] :
      ( icext(X0,sK84_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)],[f11487,f2407]) ).

fof(f11525,plain,
    ! [X0] :
      ( icext(uri_ex_c2,sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11524,f2408]) ).

fof(f11526,plain,
    ! [X0] :
      ( icext(uri_ex_c1,sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11525,f6287]) ).

fof(f11546,plain,
    ! [X0,X1] :
      ( sK84_skl(X1,X0,uri_ex_p,uri_ex_x2) != sK83_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)],[f11489,f2407]) ).

fof(f11547,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11513,f2408]) ).

fof(f11553,plain,
    ! [X0,X1,X2] :
      ( X2 = X1
      | ~ icext(uri_ex_c1,X2)
      | ~ iext(uri_ex_p,X0,X2)
      | ~ icext(uri_ex_c1,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f11462,f2412]) ).

fof(f11554,plain,
    ! [X0] :
      ( sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2) != sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | icext(uri_ex_x2,X0) ),
    inference(resolution,[status(thm)],[f11546,f2408]) ).

fof(f11555,plain,
    ! [X0,X1] :
      ( icext(uri_ex_x2,X0)
      | X1 = sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c1,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_c1,sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f11553,f11547]) ).

fof(f11559,plain,
    ! [X0,X1] :
      ( icext(uri_ex_x2,X0)
      | X1 = sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c1,X1)
      | ~ iext(uri_ex_p,X0,X1)
      | ~ icext(uri_ex_x1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f11555,f11526]) ).

fof(f11563,plain,
    ! [X0] :
      ( icext(uri_ex_x2,X0)
      | icext(uri_ex_x2,X0)
      | sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2) = sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c1,sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0) ),
    inference(resolution,[status(thm)],[f11559,f11501]) ).

fof(f11565,plain,
    ! [X0] :
      ( icext(uri_ex_x2,X0)
      | sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2) = sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_c1,sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2))
      | ~ icext(uri_ex_x1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f11563]) ).

fof(f11566,plain,
    ! [X0] :
      ( icext(uri_ex_x2,X0)
      | sK83_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2) = sK84_skl(X0,uri_ex_c2,uri_ex_p,uri_ex_x2)
      | ~ icext(uri_ex_x1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f11565,f11470]) ).

fof(f12868,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,f6762]) ).

fof(f14250,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)],[f12868,f6770]) ).

fof(f14323,plain,
    icext(uri_ex_x1,sK115_skl(uri_ex_x2,uri_ex_x1)),
    inference(forward_subsumption_resolution,[status(thm)],[f14250,f2405]) ).

fof(f14329,plain,
    ( icext(uri_ex_x2,sK115_skl(uri_ex_x2,uri_ex_x1))
    | sK83_skl(sK115_skl(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p,uri_ex_x2) = sK84_skl(sK115_skl(uri_ex_x2,uri_ex_x1),uri_ex_c2,uri_ex_p,uri_ex_x2) ),
    inference(resolution,[status(thm)],[f14323,f11566]) ).

fof(f14336,plain,
    icext(uri_ex_x2,sK115_skl(uri_ex_x2,uri_ex_x1)),
    inference(forward_subsumption_resolution,[status(thm)],[f14329,f11554]) ).

fof(f14337,plain,
    ( ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1)
    | iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2) ),
    inference(resolution,[status(thm)],[f14336,f1739]) ).

fof(f14344,plain,
    ( ~ ic(uri_ex_x2)
    | ~ ic(uri_ex_x1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f14337,f2405]) ).

fof(f14345,plain,
    ~ ic(uri_ex_x1),
    inference(resolution,[status(thm)],[f14344,f6770]) ).

fof(f14346,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f14345,f6762]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB089+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/15.65  % Computer : n006.cluster.edu
% 0.16/15.65  % Model    : x86_64 x86_64
% 0.16/15.65  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.65  % Memory   : 8046.5625MB
% 0.16/15.65  % OS       : Linux 6.8.0-71-generic
% 0.16/15.65  % CPULimit : 300
% 0.16/15.65  % WCLimit  : 300
% 0.16/15.65  % DateTime : Mon Sep 21 07:46:13 UTC 2026
% 0.16/15.65  % CPUTime  : 
% 0.21/15.72  % Drodi V4.1.1
% 44.92/21.48  % Refutation found
% 44.92/21.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 44.92/21.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.73/21.53  % Elapsed time: 5.861427 seconds
% 1.73/21.53  % CPU time: 45.599500 seconds
% 1.73/21.53  % Total memory used: 251.442 MB
% 1.73/21.53  % Net memory used: 237.845 MB
%------------------------------------------------------------------------------