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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 02:37:10 PM UTC 2026

% Result   : Theorem 0.10s 0.43s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   77 (  12 unt;   5 def)
%            Number of atoms       :  263 (  33 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  290 ( 104   ~; 114   |;  56   &)
%                                         (  13 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-3 aty)
%            Number of variables   :  119 ( 103   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,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(f6,axiom,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ! [X1,X2,Y] :
            ( ( iext(P,X2,Y)
              & iext(P,X1,Y) )
           => X1 = X2 )
        & ip(P) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,axiom,
    ? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
      ( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l2,uri_ex_u)
      & iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
      & iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
      & iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l1,uri_ex_w)
      & iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
      & iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [P] :
      ( ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
      & ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f11,plain,
    ( ! [P] :
        ( ~ ip(P)
        | iext(uri_rdf_type,P,uri_rdf_Property) )
    & ! [P] :
        ( ip(P)
        | ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f12,plain,
    ! [X0] :
      ( ip(X0)
      | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f14,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)],[f2]) ).

fof(f15,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)],[f14]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f18,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f3]) ).

fof(f19,plain,
    ! [C,X] :
      ( icext(C,X)
      | ! [P] :
          ( ! [Y] : ~ iext(P,X,Y)
          | ~ iext(uri_rdfs_domain,P,C) ) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f21,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f22,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)],[f5]) ).

fof(f23,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)],[f22]) ).

fof(f24,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)],[f23]) ).

fof(f25,plain,
    ! [S1,A1] :
      ( ( ! [Z] :
            ( ( ( sK0_skl(Z,A1,S1) = A1
                | icext(Z,sK0_skl(Z,A1,S1)) )
              & ( sK0_skl(Z,A1,S1) != A1
                | ~ icext(Z,sK0_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,[sK0_skl]),skolemize(X,sK0_skl(Z,A1,S1))],[f24]) ).

fof(f27,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)],[f25]) ).

fof(f31,plain,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ! [X1,X2,Y] :
            ( X1 = X2
            | ~ iext(P,X2,Y)
            | ~ iext(P,X1,Y) )
        & ip(P) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f32,plain,
    ! [P] :
      ( ( ? [X1,X2,Y] :
            ( X1 != X2
            & iext(P,X2,Y)
            & iext(P,X1,Y) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
      & ( ( ! [X1,X2,Y] :
              ( X1 = X2
              | ~ iext(P,X2,Y)
              | ~ iext(P,X1,Y) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(NNF_transformation,[status(thm)],[f31]) ).

fof(f33,plain,
    ( ! [P] :
        ( ? [X1,X2] :
            ( X1 != X2
            & ? [Y] :
                ( iext(P,X2,Y)
                & iext(P,X1,Y) ) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
    & ! [P] :
        ( ( ! [X1,X2] :
              ( X1 = X2
              | ! [Y] :
                  ( ~ iext(P,X2,Y)
                  | ~ iext(P,X1,Y) ) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(miniscoping,[status(thm)],[f32]) ).

fof(f34,plain,
    ( ! [P] :
        ( ( sK1_skl(P) != sK2_skl(P)
          & iext(P,sK2_skl(P),sK3_skl(P))
          & iext(P,sK1_skl(P),sK3_skl(P)) )
        | ~ ip(P)
        | icext(uri_owl_InverseFunctionalProperty,P) )
    & ! [P] :
        ( ( ! [X1,X2] :
              ( X1 = X2
              | ! [Y] :
                  ( ~ iext(P,X2,Y)
                  | ~ iext(P,X1,Y) ) )
          & ip(P) )
        | ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(X1,sK1_skl(P)),skolemize(X2,sK2_skl(P)),skolemize(Y,sK3_skl(P))],[f33]) ).

fof(f37,plain,
    ! [X0] :
      ( iext(X0,sK1_skl(X0),sK3_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f38,plain,
    ! [X0] :
      ( iext(X0,sK2_skl(X0),sK3_skl(X0))
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f39,plain,
    ! [X0] :
      ( sK1_skl(X0) != sK2_skl(X0)
      | ~ ip(X0)
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f40,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f41,plain,
    ? [BNODE_l2] :
      ( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l2,uri_ex_u)
      & ? [BNODE_x2] :
          ( iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
          & iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
          & ? [BNODE_l1] :
              ( iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
              & iext(uri_rdf_first,BNODE_l1,uri_ex_w)
              & ? [BNODE_x1] :
                  ( iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
                  & iext(uri_rdfs_domain,uri_ex_p,BNODE_x1) ) ) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f42,plain,
    ( iext(uri_rdf_rest,sK4_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK4_skl,uri_ex_u)
    & iext(uri_owl_oneOf,sK5_skl,sK4_skl)
    & iext(uri_rdfs_range,uri_ex_p,sK5_skl)
    & iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK6_skl,uri_ex_w)
    & iext(uri_owl_oneOf,sK7_skl,sK6_skl)
    & iext(uri_rdfs_domain,uri_ex_p,sK7_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(BNODE_l2,sK4_skl),skolemize(BNODE_x2,sK5_skl),skolemize(BNODE_l1,sK6_skl),skolemize(BNODE_x1,sK7_skl)],[f41]) ).

fof(f43,plain,
    iext(uri_rdfs_domain,uri_ex_p,sK7_skl),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f44,plain,
    iext(uri_owl_oneOf,sK7_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f45,plain,
    iext(uri_rdf_first,sK6_skl,uri_ex_w),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f46,plain,
    iext(uri_rdf_rest,sK6_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( icext(sK7_skl,X0)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[f20,f43]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( icext(uri_rdf_Property,X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[status(thm)],[f20,f21]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[status(thm)],[f54,f17]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ip(X0)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[status(thm)],[f55,f12]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | iext(X0,sK1_skl(X0),sK3_skl(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(resolution,[status(thm)],[f37,f56]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | iext(X0,sK2_skl(X0),sK3_skl(X0))
      | icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(resolution,[status(thm)],[f38,f56]) ).

fof(f63,plain,
    ( iext(uri_ex_p,sK1_skl(uri_ex_p),sK3_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f59,f43]) ).

fof(f65,definition,
    ( sQ0_spl
  <=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f66,plain,
    ( ~ sQ0_spl
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(component_clause,[status(thm)],[f65]) ).

fof(f68,definition,
    ( sQ1_spl
  <=> iext(uri_ex_p,sK1_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f69,plain,
    ( ~ sQ1_spl
    | iext(uri_ex_p,sK1_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    inference(component_clause,[status(thm)],[f68]) ).

fof(f71,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f63,f65,f68]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( X2 = X0
      | ~ icext(X1,X2)
      | ~ iext(uri_owl_oneOf,X1,sK6_skl)
      | ~ iext(uri_rdf_first,sK6_skl,X0) ),
    inference(resolution,[status(thm)],[f27,f46]) ).

fof(f88,plain,
    ( ~ sQ0_spl
    | iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
    inference(resolution,[status(thm)],[f66,f17]) ).

fof(f89,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f88,f40]) ).

fof(f90,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f89]) ).

fof(f101,plain,
    ( iext(uri_ex_p,sK2_skl(uri_ex_p),sK3_skl(uri_ex_p))
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(resolution,[status(thm)],[f61,f43]) ).

fof(f103,definition,
    ( sQ5_spl
  <=> iext(uri_ex_p,sK2_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f104,plain,
    ( ~ sQ5_spl
    | iext(uri_ex_p,sK2_skl(uri_ex_p),sK3_skl(uri_ex_p)) ),
    inference(component_clause,[status(thm)],[f103]) ).

fof(f106,plain,
    ( sQ5_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f101,f65,f103]) ).

fof(f110,plain,
    ( ~ sQ1_spl
    | icext(sK7_skl,sK1_skl(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f69,f53]) ).

fof(f113,plain,
    ( ~ sQ5_spl
    | icext(sK7_skl,sK2_skl(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f104,f53]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_w
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK6_skl) ),
    inference(resolution,[status(thm)],[f83,f45]) ).

fof(f134,plain,
    ! [X0] :
      ( X0 = uri_ex_w
      | ~ icext(sK7_skl,X0) ),
    inference(resolution,[status(thm)],[f133,f44]) ).

fof(f136,plain,
    ( ~ sQ5_spl
    | sK2_skl(uri_ex_p) = uri_ex_w ),
    inference(resolution,[status(thm)],[f134,f113]) ).

fof(f137,plain,
    ( ~ sQ1_spl
    | sK1_skl(uri_ex_p) = uri_ex_w ),
    inference(resolution,[status(thm)],[f134,f110]) ).

fof(f144,plain,
    ( ~ sQ1_spl
    | uri_ex_w != sK2_skl(uri_ex_p)
    | ~ ip(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(paramodulation,[status(thm)],[f137,f39]) ).

fof(f145,definition,
    ( sQ6_spl
  <=> ip(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f147,plain,
    ( sQ6_spl
    | ~ ip(uri_ex_p) ),
    inference(component_clause,[status(thm)],[f145]) ).

fof(f148,definition,
    ( sQ7_spl
  <=> uri_ex_w = sK2_skl(uri_ex_p) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f150,plain,
    ( sQ7_spl
    | uri_ex_w != sK2_skl(uri_ex_p) ),
    inference(component_clause,[status(thm)],[f148]) ).

fof(f151,plain,
    ( ~ sQ1_spl
    | ~ sQ7_spl
    | ~ sQ6_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f144,f65,f145,f148,f68]) ).

fof(f153,plain,
    ! [X0] :
      ( sQ6_spl
      | ~ iext(uri_rdfs_domain,uri_ex_p,X0) ),
    inference(resolution,[status(thm)],[f147,f56]) ).

fof(f155,plain,
    ( sQ6_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f43,f153]) ).

fof(f156,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f155]) ).

fof(f157,plain,
    ( sQ7_spl
    | ~ sQ5_spl
    | uri_ex_w != uri_ex_w ),
    inference(forward_demodulation,[status(thm)],[f136,f150]) ).

fof(f158,plain,
    ( sQ7_spl
    | ~ sQ5_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f157]) ).

fof(f159,plain,
    ( sQ7_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f158]) ).

fof(f160,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f71,f90,f106,f151,f156,f159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB026+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n002.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 21 07:44:19 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.40  % Drodi V4.1.1
% 0.10/0.43  % Refutation found
% 0.10/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46  % Elapsed time: 0.073205 seconds
% 0.10/0.46  % CPU time: 0.183923 seconds
% 0.10/0.46  % Total memory used: 81.547 MB
% 0.10/0.46  % Net memory used: 81.178 MB
%------------------------------------------------------------------------------