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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB025+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 0.16s 5.41s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (  18 unt;   2 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  352 ( 127   ~; 128   |;  89   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-4 aty)
%            Number of variables   :  153 ( 133   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P,S1,P1,S2,P2] :
      ( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
        & iext(uri_rdf_first,S2,P2)
        & iext(uri_rdf_rest,S1,S2)
        & iext(uri_rdf_first,S1,P1) )
     => ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ! [Y0,Y1,Y2] :
              ( ( iext(P2,Y1,Y2)
                & iext(P1,Y0,Y1) )
             => iext(P,Y0,Y2) )
          & ip(P2)
          & ip(P1)
          & ip(P) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_inverseOf,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P1,X,Y)
          <=> iext(P2,Y,X) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    & iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
      & iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,axiom,
    ? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
      ( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
      & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
      & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
      & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
      & iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
      & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l22,BNODE_l3)
      & iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
      & iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
      & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
      & iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
      & iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
      & iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [P,S1,P1,S2,P2] :
      ( ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ! [Y0,Y1,Y2] :
              ( iext(P,Y0,Y2)
              | ~ iext(P2,Y1,Y2)
              | ~ iext(P1,Y0,Y1) )
          & ip(P2)
          & ip(P1)
          & ip(P) ) )
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,P1) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f7,plain,
    ! [P,S1,P1,S2,P2] :
      ( ( ( ? [Y0,Y1,Y2] :
              ( ~ iext(P,Y0,Y2)
              & iext(P2,Y1,Y2)
              & iext(P1,Y0,Y1) )
          | ~ ip(P2)
          | ~ ip(P1)
          | ~ ip(P)
          | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ( ( ! [Y0,Y1,Y2] :
                ( iext(P,Y0,Y2)
                | ~ iext(P2,Y1,Y2)
                | ~ iext(P1,Y0,Y1) )
            & ip(P2)
            & ip(P1)
            & ip(P) )
          | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S1,P1) ),
    inference(NNF_transformation,[status(thm)],[f6]) ).

fof(f8,plain,
    ! [S1,P1,P2] :
      ( ( ! [P] :
            ( ? [Y0,Y2] :
                ( ~ iext(P,Y0,Y2)
                & ? [Y1] :
                    ( iext(P2,Y1,Y2)
                    & iext(P1,Y0,Y1) ) )
            | ~ ip(P2)
            | ~ ip(P1)
            | ~ ip(P)
            | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ! [P] :
            ( ( ! [Y0,Y2] :
                  ( iext(P,Y0,Y2)
                  | ! [Y1] :
                      ( ~ iext(P2,Y1,Y2)
                      | ~ iext(P1,Y0,Y1) ) )
              & ip(P2)
              & ip(P1)
              & ip(P) )
            | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ! [S2] :
          ( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S1,P1) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f9,plain,
    ! [S1,P1,P2] :
      ( ( ! [P] :
            ( ( ~ iext(P,sK0_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
              & iext(P2,sK2_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))
              & iext(P1,sK0_skl(P,P2,P1,S1),sK2_skl(P,P2,P1,S1)) )
            | ~ ip(P2)
            | ~ ip(P1)
            | ~ ip(P)
            | iext(uri_owl_propertyChainAxiom,P,S1) )
        & ! [P] :
            ( ( ! [Y0,Y2] :
                  ( iext(P,Y0,Y2)
                  | ! [Y1] :
                      ( ~ iext(P2,Y1,Y2)
                      | ~ iext(P1,Y0,Y1) ) )
              & ip(P2)
              & ip(P1)
              & ip(P) )
            | ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
      | ! [S2] :
          ( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S1,P1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(P,P2,P1,S1)),skolemize(Y2,sK1_skl(P,P2,P1,S1)),skolemize(Y1,sK2_skl(P,P2,P1,S1))],[f8]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( iext(X4,X5,X7)
      | ~ iext(X3,X6,X7)
      | ~ iext(X1,X5,X6)
      | ~ iext(uri_owl_propertyChainAxiom,X4,X0)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f17,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( ( iext(P2,Y,X)
              | iext(P1,X,Y) )
            & ( ~ iext(P2,Y,X)
              | ~ iext(P1,X,Y) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
      & ( ( ! [X,Y] :
              ( ( ~ iext(P2,Y,X)
                | iext(P1,X,Y) )
              & ( iext(P2,Y,X)
                | ~ iext(P1,X,Y) ) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(NNF_transformation,[status(thm)],[f2]) ).

fof(f18,plain,
    ( ! [P1,P2] :
        ( ? [X,Y] :
            ( ( iext(P2,Y,X)
              | iext(P1,X,Y) )
            & ( ~ iext(P2,Y,X)
              | ~ iext(P1,X,Y) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,Y,X)
              | iext(P1,X,Y) )
          & ! [X,Y] :
              ( iext(P2,Y,X)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f19,plain,
    ( ! [P1,P2] :
        ( ( ( iext(P2,sK4_skl(P2,P1),sK3_skl(P2,P1))
            | iext(P1,sK3_skl(P2,P1),sK4_skl(P2,P1)) )
          & ( ~ iext(P2,sK4_skl(P2,P1),sK3_skl(P2,P1))
            | ~ iext(P1,sK3_skl(P2,P1),sK4_skl(P2,P1)) ) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_inverseOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( ~ iext(P2,Y,X)
              | iext(P1,X,Y) )
          & ! [X,Y] :
              ( iext(P2,Y,X)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_inverseOf,P1,P2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(X,sK3_skl(P2,P1)),skolemize(Y,sK4_skl(P2,P1))],[f18]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(X1,X3,X2)
      | iext(X0,X2,X3)
      | ~ iext(uri_owl_inverseOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f26,plain,
    ( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    | ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f27,plain,
    ( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
    | ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f28,plain,
    ( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
    & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
    & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
    & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
    & ? [BNODE_l3] :
        ( iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
        & ? [BNODE_l22] :
            ( iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
            & iext(uri_rdf_first,BNODE_l22,BNODE_l3)
            & ? [BNODE_l21] :
                ( iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
                & iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
                & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
                & ? [BNODE_l12] :
                    ( iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
                    & iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
                    & ? [BNODE_l11] :
                        ( iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
                        & iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
                        & iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f29,plain,
    ( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
    & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
    & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
    & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
    & iext(uri_owl_inverseOf,sK5_skl,uri_ex_hasFather)
    & iext(uri_rdf_rest,sK6_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK6_skl,sK5_skl)
    & iext(uri_rdf_rest,sK7_skl,sK6_skl)
    & iext(uri_rdf_first,sK7_skl,uri_ex_hasUncle)
    & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7_skl)
    & iext(uri_rdf_rest,sK8_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK8_skl,uri_ex_hasFather)
    & iext(uri_rdf_rest,sK9_skl,sK8_skl)
    & iext(uri_rdf_first,sK9_skl,uri_ex_hasCousin)
    & iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(BNODE_l3,sK5_skl),skolemize(BNODE_l22,sK6_skl),skolemize(BNODE_l21,sK7_skl),skolemize(BNODE_l12,sK8_skl),skolemize(BNODE_l11,sK9_skl)],[f28]) ).

fof(f30,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    iext(uri_rdf_first,sK9_skl,uri_ex_hasCousin),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f32,plain,
    iext(uri_rdf_rest,sK9_skl,sK8_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f33,plain,
    iext(uri_rdf_first,sK8_skl,uri_ex_hasFather),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f34,plain,
    iext(uri_rdf_rest,sK8_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f35,plain,
    iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f36,plain,
    iext(uri_rdf_first,sK7_skl,uri_ex_hasUncle),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f37,plain,
    iext(uri_rdf_rest,sK7_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f38,plain,
    iext(uri_rdf_first,sK6_skl,sK5_skl),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f39,plain,
    iext(uri_rdf_rest,sK6_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f40,plain,
    iext(uri_owl_inverseOf,sK5_skl,uri_ex_hasFather),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f41,plain,
    iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f42,plain,
    iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f43,plain,
    iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f44,plain,
    iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f45,definition,
    ( sQ0_spl
  <=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f47,plain,
    ( sQ0_spl
    | ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
    inference(component_clause,[status(thm)],[f45]) ).

fof(f48,definition,
    ( sQ1_spl
  <=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f50,plain,
    ( sQ1_spl
    | ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
    inference(component_clause,[status(thm)],[f48]) ).

fof(f51,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f27,f45,f48]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_hasFather,X1,X0)
      | iext(sK5_skl,X0,X1) ),
    inference(resolution,[status(thm)],[f23,f40]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( iext(X3,X4,X6)
      | ~ iext(X2,X5,X6)
      | ~ iext(X1,X4,X5)
      | ~ iext(uri_owl_propertyChainAxiom,X3,X0)
      | ~ iext(uri_rdf_first,sK6_skl,X2)
      | ~ iext(uri_rdf_rest,X0,sK6_skl)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(resolution,[status(thm)],[f13,f39]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( iext(X3,X4,X6)
      | ~ iext(X2,X5,X6)
      | ~ iext(X1,X4,X5)
      | ~ iext(uri_owl_propertyChainAxiom,X3,X0)
      | ~ iext(uri_rdf_first,sK8_skl,X2)
      | ~ iext(uri_rdf_rest,X0,sK8_skl)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(resolution,[status(thm)],[f13,f34]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( iext(X2,X3,X5)
      | ~ iext(X1,X4,X5)
      | ~ iext(X0,X3,X4)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sK7_skl)
      | ~ iext(uri_rdf_first,sK6_skl,X1)
      | ~ iext(uri_rdf_first,sK7_skl,X0) ),
    inference(resolution,[status(thm)],[f88,f37]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3,X4] :
      ( iext(uri_ex_hasCousin,X2,X4)
      | ~ iext(X1,X3,X4)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdf_first,sK6_skl,X1)
      | ~ iext(uri_rdf_first,sK7_skl,X0) ),
    inference(resolution,[status(thm)],[f94,f35]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3] :
      ( iext(uri_ex_hasCousin,X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_ex_hasUncle,X1,X2)
      | ~ iext(uri_rdf_first,sK6_skl,X0) ),
    inference(resolution,[status(thm)],[f95,f36]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( iext(uri_ex_hasCousin,X0,X2)
      | ~ iext(sK5_skl,X1,X2)
      | ~ iext(uri_ex_hasUncle,X0,X1) ),
    inference(resolution,[status(thm)],[f96,f38]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( iext(X2,X3,X5)
      | ~ iext(X1,X4,X5)
      | ~ iext(X0,X3,X4)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sK9_skl)
      | ~ iext(uri_rdf_first,sK8_skl,X1)
      | ~ iext(uri_rdf_first,sK9_skl,X0) ),
    inference(resolution,[status(thm)],[f89,f32]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4] :
      ( iext(uri_ex_hasUncle,X2,X4)
      | ~ iext(X1,X3,X4)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdf_first,sK8_skl,X1)
      | ~ iext(uri_rdf_first,sK9_skl,X0) ),
    inference(resolution,[status(thm)],[f108,f30]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( iext(uri_ex_hasUncle,X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_ex_hasCousin,X1,X2)
      | ~ iext(uri_rdf_first,sK8_skl,X0) ),
    inference(resolution,[status(thm)],[f109,f31]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( iext(uri_ex_hasUncle,X0,X2)
      | ~ iext(uri_ex_hasFather,X1,X2)
      | ~ iext(uri_ex_hasCousin,X0,X1) ),
    inference(resolution,[status(thm)],[f110,f33]) ).

fof(f112,plain,
    ! [X0] :
      ( sQ0_spl
      | ~ iext(uri_ex_hasFather,X0,uri_ex_charly)
      | ~ iext(uri_ex_hasCousin,uri_ex_alice,X0) ),
    inference(resolution,[status(thm)],[f111,f47]) ).

fof(f121,plain,
    ( sQ0_spl
    | ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) ),
    inference(resolution,[status(thm)],[f112,f43]) ).

fof(f123,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f121,f42]) ).

fof(f124,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f123]) ).

fof(f125,plain,
    ! [X0] :
      ( sQ1_spl
      | ~ iext(sK5_skl,X0,uri_ex_alice)
      | ~ iext(uri_ex_hasUncle,uri_ex_bob,X0) ),
    inference(resolution,[status(thm)],[f50,f97]) ).

fof(f126,plain,
    ! [X0] :
      ( sQ1_spl
      | ~ iext(uri_ex_hasFather,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasUncle,uri_ex_bob,X0) ),
    inference(resolution,[status(thm)],[f125,f53]) ).

fof(f127,plain,
    ( sQ1_spl
    | ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
    inference(resolution,[status(thm)],[f126,f41]) ).

fof(f129,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f127,f44]) ).

fof(f130,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f129]) ).

fof(f131,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f51,f124,f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.37  % Computer : n002.cluster.edu
% 0.12/5.37  % Model    : x86_64 x86_64
% 0.12/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37  % Memory   : 8046.5625MB
% 0.12/5.37  % OS       : Linux 6.8.0-71-generic
% 0.12/5.37  % CPULimit : 300
% 0.12/5.37  % WCLimit  : 300
% 0.12/5.37  % DateTime : Mon Sep 21 07:44:07 UTC 2026
% 0.12/5.37  % CPUTime  : 
% 0.12/5.38  % Drodi V4.1.1
% 0.16/5.41  % Refutation found
% 0.16/5.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.45  % Elapsed time: 0.060024 seconds
% 0.16/5.45  % CPU time: 0.258130 seconds
% 0.16/5.45  % Total memory used: 19.106 MB
% 0.16/5.45  % Net memory used: 18.734 MB
%------------------------------------------------------------------------------