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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB031+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 : n007.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 02:37:12 PM UTC 2026

% Result   : Unsatisfiable 19.39s 3.01s
% Output   : CNFRefutation 19.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   92 (  23 unt;   5 def)
%            Number of atoms       :  309 (  21 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  360 ( 143   ~; 133   |;  66   &)
%                                         (  16 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  19 con; 0-3 aty)
%            Number of variables   :  143 ( 128   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f145,axiom,
    ! [X] : ~ icext(uri_owl_Nothing,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f151,axiom,
    ! [X] :
      ( icext(uri_owl_OntologyProperty,X)
    <=> ioxp(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f163,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f179,axiom,
    ioxp(uri_owl_backwardCompatibleWith),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f287,axiom,
    ! [Z] :
      ( iext(uri_owl_unionOf,Z,uri_rdf_nil)
    <=> ( ! [X] : ~ icext(Z,X)
        & ic(Z) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f294,axiom,
    ! [Z] :
      ( iext(uri_owl_oneOf,Z,uri_rdf_nil)
    <=> ( ! [X] : ~ icext(Z,X)
        & ic(Z) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f295,axiom,
    ! [Z,S1,A1] :
      ( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
        & iext(uri_rdf_first,S1,A1) )
     => ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f351,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f356,axiom,
    ! [S1,A1] :
      ( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
        & iext(uri_rdf_first,S1,A1) )
     => ? [Z] :
          ( iext(uri_owl_distinctMembers,Z,S1)
          & icext(uri_owl_AllDifferent,Z) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f559,axiom,
    ? [BNODE_x,BNODE_l] :
      ( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l,uri_ex_w)
      & iext(uri_owl_oneOf,BNODE_x,BNODE_l)
      & iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f563,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f590,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(NNF_transformation,[status(thm)],[f25]) ).

fof(f591,plain,
    ( ! [X,C] :
        ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
    & ! [X,C] :
        ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(miniscoping,[status(thm)],[f590]) ).

fof(f592,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f591]) ).

fof(f613,plain,
    iext(uri_rdf_type,uri_rdf__1,uri_rdfs_ContainerMembershipProperty),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f615,plain,
    iext(uri_rdf_type,uri_rdf__3,uri_rdfs_ContainerMembershipProperty),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f821,plain,
    ! [X0] : ~ icext(uri_owl_Nothing,X0),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f833,plain,
    ! [X] :
      ( ( ~ ioxp(X)
        | icext(uri_owl_OntologyProperty,X) )
      & ( ioxp(X)
        | ~ icext(uri_owl_OntologyProperty,X) ) ),
    inference(NNF_transformation,[status(thm)],[f151]) ).

fof(f834,plain,
    ( ! [X] :
        ( ~ ioxp(X)
        | icext(uri_owl_OntologyProperty,X) )
    & ! [X] :
        ( ioxp(X)
        | ~ icext(uri_owl_OntologyProperty,X) ) ),
    inference(miniscoping,[status(thm)],[f833]) ).

fof(f836,plain,
    ! [X0] :
      ( ~ ioxp(X0)
      | icext(uri_owl_OntologyProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f834]) ).

fof(f857,plain,
    ! [X] :
      ( ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
      & ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(NNF_transformation,[status(thm)],[f163]) ).

fof(f858,plain,
    ( ! [X] :
        ( ~ ir(X)
        | icext(uri_owl_Thing,X) )
    & ! [X] :
        ( ir(X)
        | ~ icext(uri_owl_Thing,X) ) ),
    inference(miniscoping,[status(thm)],[f857]) ).

fof(f860,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[status(thm)],[f858]) ).

fof(f889,plain,
    ioxp(uri_owl_backwardCompatibleWith),
    inference(cnf_transformation,[status(thm)],[f179]) ).

fof(f1151,plain,
    ! [Z] :
      ( ( ? [X] : icext(Z,X)
        | ~ ic(Z)
        | iext(uri_owl_unionOf,Z,uri_rdf_nil) )
      & ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
    inference(NNF_transformation,[status(thm)],[f287]) ).

fof(f1152,plain,
    ( ! [Z] :
        ( ? [X] : icext(Z,X)
        | ~ ic(Z)
        | iext(uri_owl_unionOf,Z,uri_rdf_nil) )
    & ! [Z] :
        ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
    inference(miniscoping,[status(thm)],[f1151]) ).

fof(f1153,plain,
    ( ! [Z] :
        ( icext(Z,sK5_skl(Z))
        | ~ ic(Z)
        | iext(uri_owl_unionOf,Z,uri_rdf_nil) )
    & ! [Z] :
        ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_unionOf,Z,uri_rdf_nil) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(X,sK5_skl(Z))],[f1152]) ).

fof(f1155,plain,
    ! [X0,X1] :
      ( ~ icext(X0,X1)
      | ~ iext(uri_owl_unionOf,X0,uri_rdf_nil) ),
    inference(cnf_transformation,[status(thm)],[f1153]) ).

fof(f1203,plain,
    ! [Z] :
      ( ( ? [X] : icext(Z,X)
        | ~ ic(Z)
        | iext(uri_owl_oneOf,Z,uri_rdf_nil) )
      & ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_oneOf,Z,uri_rdf_nil) ) ),
    inference(NNF_transformation,[status(thm)],[f294]) ).

fof(f1204,plain,
    ( ! [Z] :
        ( ? [X] : icext(Z,X)
        | ~ ic(Z)
        | iext(uri_owl_oneOf,Z,uri_rdf_nil) )
    & ! [Z] :
        ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_oneOf,Z,uri_rdf_nil) ) ),
    inference(miniscoping,[status(thm)],[f1203]) ).

fof(f1205,plain,
    ( ! [Z] :
        ( icext(Z,sK9_skl(Z))
        | ~ ic(Z)
        | iext(uri_owl_oneOf,Z,uri_rdf_nil) )
    & ! [Z] :
        ( ( ! [X] : ~ icext(Z,X)
          & ic(Z) )
        | ~ iext(uri_owl_oneOf,Z,uri_rdf_nil) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(X,sK9_skl(Z))],[f1204]) ).

fof(f1207,plain,
    ! [X0,X1] :
      ( ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,uri_rdf_nil) ),
    inference(cnf_transformation,[status(thm)],[f1205]) ).

fof(f1209,plain,
    ! [Z,S1,A1] :
      ( ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(pre_NNF_transformation,[status(thm)],[f295]) ).

fof(f1210,plain,
    ! [Z,S1,A1] :
      ( ( ( ? [X] :
              ( ( X = A1
                | icext(Z,X) )
              & ( X != A1
                | ~ icext(Z,X) ) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ! [X] :
                ( ( X != A1
                  | icext(Z,X) )
                & ( X = A1
                  | ~ icext(Z,X) ) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(NNF_transformation,[status(thm)],[f1209]) ).

fof(f1211,plain,
    ! [S1,A1] :
      ( ( ! [Z] :
            ( ? [X] :
                ( ( X = A1
                  | icext(Z,X) )
                & ( X != A1
                  | ~ icext(Z,X) ) )
            | ~ ic(Z)
            | iext(uri_owl_oneOf,Z,S1) )
        & ! [Z] :
            ( ( ! [X] :
                  ( X != A1
                  | icext(Z,X) )
              & ! [X] :
                  ( X = A1
                  | ~ icext(Z,X) )
              & ic(Z) )
            | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(miniscoping,[status(thm)],[f1210]) ).

fof(f1212,plain,
    ! [S1,A1] :
      ( ( ! [Z] :
            ( ( ( sK10_skl(Z,A1,S1) = A1
                | icext(Z,sK10_skl(Z,A1,S1)) )
              & ( sK10_skl(Z,A1,S1) != A1
                | ~ icext(Z,sK10_skl(Z,A1,S1)) ) )
            | ~ ic(Z)
            | iext(uri_owl_oneOf,Z,S1) )
        & ! [Z] :
            ( ( ! [X] :
                  ( X != A1
                  | icext(Z,X) )
              & ! [X] :
                  ( X = A1
                  | ~ icext(Z,X) )
              & ic(Z) )
            | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X,sK10_skl(Z,A1,S1))],[f1211]) ).

fof(f1214,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X1
      | ~ icext(X2,X3)
      | ~ iext(uri_owl_oneOf,X2,X0)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1212]) ).

fof(f1803,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( ( icext(C2,X)
              | icext(C1,X) )
            & ( ~ icext(C2,X)
              | ~ icext(C1,X) ) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
      & ( ( ! [X] :
              ( ( ~ icext(C2,X)
                | icext(C1,X) )
              & ( icext(C2,X)
                | ~ icext(C1,X) ) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(NNF_transformation,[status(thm)],[f351]) ).

fof(f1804,plain,
    ( ! [C1,C2] :
        ( ? [X] :
            ( ( icext(C2,X)
              | icext(C1,X) )
            & ( ~ icext(C2,X)
              | ~ icext(C1,X) ) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | icext(C1,X) )
          & ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(miniscoping,[status(thm)],[f1803]) ).

fof(f1805,plain,
    ( ! [C1,C2] :
        ( ( ( icext(C2,sK123_skl(C2,C1))
            | icext(C1,sK123_skl(C2,C1)) )
          & ( ~ icext(C2,sK123_skl(C2,C1))
            | ~ icext(C1,sK123_skl(C2,C1)) ) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_equivalentClass,C1,C2) )
    & ! [C1,C2] :
        ( ( ! [X] :
              ( ~ icext(C2,X)
              | icext(C1,X) )
          & ! [X] :
              ( icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK123_skl]),skolemize(X,sK123_skl(C2,C1))],[f1804]) ).

fof(f1808,plain,
    ! [X0,X1,X2] :
      ( icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_equivalentClass,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1805]) ).

fof(f1837,plain,
    ! [S1,A1] :
      ( ? [Z] :
          ( iext(uri_owl_distinctMembers,Z,S1)
          & icext(uri_owl_AllDifferent,Z) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(pre_NNF_transformation,[status(thm)],[f356]) ).

fof(f1838,plain,
    ! [S1] :
      ( ? [Z] :
          ( iext(uri_owl_distinctMembers,Z,S1)
          & icext(uri_owl_AllDifferent,Z) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ! [A1] : ~ iext(uri_rdf_first,S1,A1) ),
    inference(miniscoping,[status(thm)],[f1837]) ).

fof(f1839,plain,
    ! [S1] :
      ( ( iext(uri_owl_distinctMembers,sK129_skl(S1),S1)
        & icext(uri_owl_AllDifferent,sK129_skl(S1)) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ! [A1] : ~ iext(uri_rdf_first,S1,A1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK129_skl]),skolemize(Z,sK129_skl(S1))],[f1838]) ).

fof(f1840,plain,
    ! [X0,X1] :
      ( icext(uri_owl_AllDifferent,sK129_skl(X0))
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1839]) ).

fof(f2403,plain,
    ? [BNODE_l] :
      ( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l,uri_ex_w)
      & ? [BNODE_x] :
          ( iext(uri_owl_oneOf,BNODE_x,BNODE_l)
          & iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ) ),
    inference(miniscoping,[status(thm)],[f559]) ).

fof(f2404,plain,
    ( iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK199_skl,uri_ex_w)
    & iext(uri_owl_oneOf,sK200_skl,sK199_skl)
    & iext(uri_owl_equivalentClass,uri_owl_Thing,sK200_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl]),skolemize(BNODE_l,sK199_skl),skolemize(BNODE_x,sK200_skl)],[f2403]) ).

fof(f2405,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,sK200_skl),
    inference(cnf_transformation,[status(thm)],[f2404]) ).

fof(f2406,plain,
    iext(uri_owl_oneOf,sK200_skl,sK199_skl),
    inference(cnf_transformation,[status(thm)],[f2404]) ).

fof(f2407,plain,
    iext(uri_rdf_first,sK199_skl,uri_ex_w),
    inference(cnf_transformation,[status(thm)],[f2404]) ).

fof(f2408,plain,
    iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f2404]) ).

fof(f2576,plain,
    icext(uri_rdfs_ContainerMembershipProperty,uri_rdf__1),
    inference(resolution,[status(thm)],[f613,f592]) ).

fof(f2578,plain,
    icext(uri_rdfs_ContainerMembershipProperty,uri_rdf__3),
    inference(resolution,[status(thm)],[f615,f592]) ).

fof(f3261,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f860,f563]) ).

fof(f4031,definition,
    ( sQ112_spl
  <=> iext(uri_owl_unionOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_nil) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f4032,plain,
    ( ~ sQ112_spl
    | iext(uri_owl_unionOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_nil) ),
    inference(component_clause,[status(thm)],[f4031]) ).

fof(f4158,definition,
    ( sQ128_spl
  <=> iext(uri_owl_oneOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_nil) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f4159,plain,
    ( ~ sQ128_spl
    | iext(uri_owl_oneOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_nil) ),
    inference(component_clause,[status(thm)],[f4158]) ).

fof(f4183,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_w
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK199_skl)
      | ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[f2407,f1214]) ).

fof(f4232,definition,
    ( sQ133_spl
  <=> iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f4234,plain,
    ( sQ133_spl
    | ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
    inference(component_clause,[status(thm)],[f4232]) ).

fof(f4248,definition,
    ! [X0,X1] :
      ( sQ137_spl
    <=> ( X1 = uri_ex_w
        | ~ icext(X0,X1)
        | ~ iext(uri_owl_oneOf,X0,sK199_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f4249,plain,
    ! [X0,X1] :
      ( ~ sQ137_spl
      | X1 = uri_ex_w
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK199_skl) ),
    inference(component_clause,[status(thm)],[f4248]) ).

fof(f4251,plain,
    ( sQ137_spl
    | ~ sQ133_spl ),
    inference(split_clause,[status(thm)],[f4183,f4232,f4248]) ).

fof(f4398,plain,
    ( sQ133_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4234,f2408]) ).

fof(f4399,plain,
    sQ133_spl,
    inference(contradiction_clause,[status(thm)],[f4398]) ).

fof(f4530,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | ~ icext(uri_rdfs_ContainerMembershipProperty,X0) ),
    inference(resolution,[status(thm)],[f4032,f1155]) ).

fof(f4552,plain,
    ( ~ sQ112_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f2578,f4530]) ).

fof(f4559,plain,
    ~ sQ112_spl,
    inference(contradiction_clause,[status(thm)],[f4552]) ).

fof(f4793,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | ~ icext(uri_rdfs_ContainerMembershipProperty,X0) ),
    inference(resolution,[status(thm)],[f1207,f4159]) ).

fof(f4796,plain,
    ( ~ sQ128_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f2576,f4793]) ).

fof(f4799,plain,
    ~ sQ128_spl,
    inference(contradiction_clause,[status(thm)],[f4796]) ).

fof(f5164,definition,
    ( sQ222_spl
  <=> iext(uri_owl_oneOf,uri_owl_OntologyProperty,uri_rdf_nil) ),
    introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).

fof(f5165,plain,
    ( ~ sQ222_spl
    | iext(uri_owl_oneOf,uri_owl_OntologyProperty,uri_rdf_nil) ),
    inference(component_clause,[status(thm)],[f5164]) ).

fof(f5242,plain,
    ! [X0] :
      ( ~ sQ222_spl
      | ~ icext(uri_owl_OntologyProperty,X0) ),
    inference(resolution,[status(thm)],[f5165,f1207]) ).

fof(f5244,plain,
    ! [X0] :
      ( ~ sQ222_spl
      | ~ ioxp(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f836,f5242]) ).

fof(f5248,plain,
    ( ~ sQ222_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f889,f5244]) ).

fof(f5263,plain,
    ~ sQ222_spl,
    inference(contradiction_clause,[status(thm)],[f5248]) ).

fof(f5423,plain,
    ! [X0] :
      ( icext(sK200_skl,X0)
      | ~ icext(uri_owl_Thing,X0) ),
    inference(resolution,[status(thm)],[f1808,f2405]) ).

fof(f5424,plain,
    ! [X0] : icext(sK200_skl,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f5423,f3261]) ).

fof(f5436,plain,
    ! [X0] :
      ( ~ sQ137_spl
      | X0 = uri_ex_w
      | ~ icext(sK200_skl,X0) ),
    inference(resolution,[status(thm)],[f4249,f2406]) ).

fof(f5437,plain,
    ! [X0] :
      ( ~ sQ137_spl
      | X0 = uri_ex_w ),
    inference(forward_subsumption_resolution,[status(thm)],[f5436,f5424]) ).

fof(f5438,plain,
    ! [X0,X1] :
      ( ~ sQ137_spl
      | X0 = X1 ),
    inference(paramodulation,[status(thm)],[f5437,f5437]) ).

fof(f5785,plain,
    ! [X0,X1] :
      ( ~ sQ137_spl
      | ~ icext(X0,X1) ),
    inference(paramodulation,[status(thm)],[f5438,f821]) ).

fof(f5847,plain,
    ! [X0,X1] :
      ( ~ sQ137_spl
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1840,f5785]) ).

fof(f5848,plain,
    ( ~ sQ137_spl
    | ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[f5847,f2407]) ).

fof(f5851,plain,
    ( ~ sQ137_spl
    | ~ sQ133_spl ),
    inference(split_clause,[status(thm)],[f5848,f4232,f4248]) ).

fof(f5852,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f4251,f4399,f4559,f4799,f5263,f5851]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB031+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  % Computer : n007.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 21 07:40:36 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.18/0.46  % Drodi V4.1.1
% 19.39/3.01  % Refutation found
% 19.39/3.01  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.39/3.01  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.75/3.07  % Elapsed time: 2.665647 seconds
% 12.75/3.07  % CPU time: 20.291410 seconds
% 12.75/3.07  % Total memory used: 141.193 MB
% 12.75/3.07  % Net memory used: 129.874 MB
%------------------------------------------------------------------------------