TSTP Solution File: SWB027+2 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:38:39 EDT 2023

% Result   : Theorem 0.14s 0.31s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   81 (  16 unt;   0 def)
%            Number of atoms       :  333 (  16 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  399 ( 147   ~; 156   |;  79   &)
%                                         (  14 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-4 aty)
%            Number of variables   :  177 (; 155   !;  22   ?)

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

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

fof(f3,axiom,
    ! [P,S1,P1,S2,P2] :
      ( ( iext(uri_rdf_first,S1,P1)
        & iext(uri_rdf_rest,S1,S2)
        & iext(uri_rdf_first,S2,P2)
        & iext(uri_rdf_rest,S2,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ip(P)
          & ip(P1)
          & ip(P2)
          & ! [Y0,Y1,Y2] :
              ( ( iext(P1,Y0,Y1)
                & iext(P2,Y1,Y2) )
             => iext(P,Y0,Y2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ip(P)
        & ! [X1,X2,Y] :
            ( ( iext(P,X1,Y)
              & iext(P,X2,Y) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_inverseOf,P1,P2)
    <=> ( ip(P1)
        & ip(P2)
        & ! [X,Y] :
            ( iext(P1,X,Y)
          <=> iext(P2,Y,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,axiom,
    ? [BNODE_l1,BNODE_l2,BNODE_v] :
      ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1)
      & iext(uri_rdf_first,BNODE_l1,uri_ex_p)
      & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
      & iext(uri_rdf_first,BNODE_l2,BNODE_v)
      & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
      & iext(uri_owl_inverseOf,BNODE_v,uri_ex_p) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X,C] :
      ( ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
      & ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ( ! [X,C] :
        ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
    & ! [X,C] :
        ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f13,plain,
    ! [X,Y] :
      ( ( ~ iext(uri_owl_sameAs,X,Y)
        | X = Y )
      & ( iext(uri_owl_sameAs,X,Y)
        | X != Y ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f14,plain,
    ( ! [X,Y] :
        ( ~ iext(uri_owl_sameAs,X,Y)
        | X = Y )
    & ! [X,Y] :
        ( iext(uri_owl_sameAs,X,Y)
        | X != Y ) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f17,plain,
    ! [P,S1,P1,S2,P2] :
      ( ~ iext(uri_rdf_first,S1,P1)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ( iext(uri_owl_propertyChainAxiom,P,S1)
      <=> ( ip(P)
          & ip(P1)
          & ip(P2)
          & ! [Y0,Y1,Y2] :
              ( ~ iext(P1,Y0,Y1)
              | ~ iext(P2,Y1,Y2)
              | iext(P,Y0,Y2) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f18,plain,
    ! [P,S1,P1,S2,P2] :
      ( ~ iext(uri_rdf_first,S1,P1)
      | ~ iext(uri_rdf_rest,S1,S2)
      | ~ iext(uri_rdf_first,S2,P2)
      | ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
          | ( ip(P)
            & ip(P1)
            & ip(P2)
            & ! [Y0,Y1,Y2] :
                ( ~ iext(P1,Y0,Y1)
                | ~ iext(P2,Y1,Y2)
                | iext(P,Y0,Y2) ) ) )
        & ( iext(uri_owl_propertyChainAxiom,P,S1)
          | ~ ip(P)
          | ~ ip(P1)
          | ~ ip(P2)
          | ? [Y0,Y1,Y2] :
              ( iext(P1,Y0,Y1)
              & iext(P2,Y1,Y2)
              & ~ iext(P,Y0,Y2) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f17]) ).

fof(f19,plain,
    ! [S1,P1,P2] :
      ( ! [S2] :
          ( ~ iext(uri_rdf_first,S1,P1)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S2,uri_rdf_nil) )
      | ( ! [P] :
            ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
            | ( ip(P)
              & ip(P1)
              & ip(P2)
              & ! [Y0,Y2] :
                  ( ! [Y1] :
                      ( ~ iext(P1,Y0,Y1)
                      | ~ iext(P2,Y1,Y2) )
                  | iext(P,Y0,Y2) ) ) )
        & ! [P] :
            ( iext(uri_owl_propertyChainAxiom,P,S1)
            | ~ ip(P)
            | ~ ip(P1)
            | ~ ip(P2)
            | ? [Y0,Y2] :
                ( ? [Y1] :
                    ( iext(P1,Y0,Y1)
                    & iext(P2,Y1,Y2) )
                & ~ iext(P,Y0,Y2) ) ) ) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f20,plain,
    ! [S1,P1,P2] :
      ( ! [S2] :
          ( ~ iext(uri_rdf_first,S1,P1)
          | ~ iext(uri_rdf_rest,S1,S2)
          | ~ iext(uri_rdf_first,S2,P2)
          | ~ iext(uri_rdf_rest,S2,uri_rdf_nil) )
      | ( ! [P] :
            ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
            | ( ip(P)
              & ip(P1)
              & ip(P2)
              & ! [Y0,Y2] :
                  ( ! [Y1] :
                      ( ~ iext(P1,Y0,Y1)
                      | ~ iext(P2,Y1,Y2) )
                  | iext(P,Y0,Y2) ) ) )
        & ! [P] :
            ( iext(uri_owl_propertyChainAxiom,P,S1)
            | ~ ip(P)
            | ~ ip(P1)
            | ~ ip(P2)
            | ( iext(P1,sk0_0(P,P2,P1,S1),sk0_2(P,P2,P1,S1))
              & iext(P2,sk0_2(P,P2,P1,S1),sk0_1(P,P2,P1,S1))
              & ~ iext(P,sk0_0(P,P2,P1,S1),sk0_1(P,P2,P1,S1)) ) ) ) ),
    inference(skolemization,[status(esa)],[f19]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_owl_propertyChainAxiom,X4,X0)
      | ~ iext(X1,X5,X6)
      | ~ iext(X3,X6,X7)
      | iext(X4,X5,X7) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f28,plain,
    ! [P] :
      ( icext(uri_owl_InverseFunctionalProperty,P)
    <=> ( ip(P)
        & ! [X1,X2,Y] :
            ( ~ iext(P,X1,Y)
            | ~ iext(P,X2,Y)
            | X1 = X2 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f29,plain,
    ! [P] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
        | ( ip(P)
          & ! [X1,X2,Y] :
              ( ~ iext(P,X1,Y)
              | ~ iext(P,X2,Y)
              | X1 = X2 ) ) )
      & ( icext(uri_owl_InverseFunctionalProperty,P)
        | ~ ip(P)
        | ? [X1,X2,Y] :
            ( iext(P,X1,Y)
            & iext(P,X2,Y)
            & X1 != X2 ) ) ),
    inference(NNF_transformation,[status(esa)],[f28]) ).

fof(f30,plain,
    ( ! [P] :
        ( ~ icext(uri_owl_InverseFunctionalProperty,P)
        | ( ip(P)
          & ! [X1,X2] :
              ( ! [Y] :
                  ( ~ iext(P,X1,Y)
                  | ~ iext(P,X2,Y) )
              | X1 = X2 ) ) )
    & ! [P] :
        ( icext(uri_owl_InverseFunctionalProperty,P)
        | ~ ip(P)
        | ? [X1,X2] :
            ( ? [Y] :
                ( iext(P,X1,Y)
                & iext(P,X2,Y) )
            & X1 != X2 ) ) ),
    inference(miniscoping,[status(esa)],[f29]) ).

fof(f31,plain,
    ( ! [P] :
        ( ~ icext(uri_owl_InverseFunctionalProperty,P)
        | ( ip(P)
          & ! [X1,X2] :
              ( ! [Y] :
                  ( ~ iext(P,X1,Y)
                  | ~ iext(P,X2,Y) )
              | X1 = X2 ) ) )
    & ! [P] :
        ( icext(uri_owl_InverseFunctionalProperty,P)
        | ~ ip(P)
        | ( iext(P,sk0_3(P),sk0_5(P))
          & iext(P,sk0_4(P),sk0_5(P))
          & sk0_3(P) != sk0_4(P) ) ) ),
    inference(skolemization,[status(esa)],[f30]) ).

fof(f34,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0)
      | iext(X0,sk0_3(X0),sk0_5(X0)) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f35,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0)
      | iext(X0,sk0_4(X0),sk0_5(X0)) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f36,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
      | ~ ip(X0)
      | sk0_3(X0) != sk0_4(X0) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f37,plain,
    ! [P1,P2] :
      ( ( ~ iext(uri_owl_inverseOf,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ( ~ iext(P1,X,Y)
                | iext(P2,Y,X) )
              & ( iext(P1,X,Y)
                | ~ iext(P2,Y,X) ) ) ) )
      & ( iext(uri_owl_inverseOf,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( ( ~ iext(P1,X,Y)
              | ~ iext(P2,Y,X) )
            & ( iext(P1,X,Y)
              | iext(P2,Y,X) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f5]) ).

fof(f38,plain,
    ( ! [P1,P2] :
        ( ~ iext(uri_owl_inverseOf,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ~ iext(P1,X,Y)
              | iext(P2,Y,X) )
          & ! [X,Y] :
              ( iext(P1,X,Y)
              | ~ iext(P2,Y,X) ) ) )
    & ! [P1,P2] :
        ( iext(uri_owl_inverseOf,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ? [X,Y] :
            ( ( ~ iext(P1,X,Y)
              | ~ iext(P2,Y,X) )
            & ( iext(P1,X,Y)
              | iext(P2,Y,X) ) ) ) ),
    inference(miniscoping,[status(esa)],[f37]) ).

fof(f39,plain,
    ( ! [P1,P2] :
        ( ~ iext(uri_owl_inverseOf,P1,P2)
        | ( ip(P1)
          & ip(P2)
          & ! [X,Y] :
              ( ~ iext(P1,X,Y)
              | iext(P2,Y,X) )
          & ! [X,Y] :
              ( iext(P1,X,Y)
              | ~ iext(P2,Y,X) ) ) )
    & ! [P1,P2] :
        ( iext(uri_owl_inverseOf,P1,P2)
        | ~ ip(P1)
        | ~ ip(P2)
        | ( ( ~ iext(P1,sk0_6(P2,P1),sk0_7(P2,P1))
            | ~ iext(P2,sk0_7(P2,P1),sk0_6(P2,P1)) )
          & ( iext(P1,sk0_6(P2,P1),sk0_7(P2,P1))
            | iext(P2,sk0_7(P2,P1),sk0_6(P2,P1)) ) ) ) ),
    inference(skolemization,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | ip(X1) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_inverseOf,X0,X1)
      | iext(X0,X2,X3)
      | ~ iext(X1,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f46,plain,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f47,plain,
    ? [BNODE_v] :
      ( ? [BNODE_l2] :
          ( ? [BNODE_l1] :
              ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1)
              & iext(uri_rdf_first,BNODE_l1,uri_ex_p)
              & iext(uri_rdf_rest,BNODE_l1,BNODE_l2) )
          & iext(uri_rdf_first,BNODE_l2,BNODE_v)
          & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) )
      & iext(uri_owl_inverseOf,BNODE_v,uri_ex_p) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f48,plain,
    ( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk0_10)
    & iext(uri_rdf_first,sk0_10,uri_ex_p)
    & iext(uri_rdf_rest,sk0_10,sk0_9)
    & iext(uri_rdf_first,sk0_9,sk0_8)
    & iext(uri_rdf_rest,sk0_9,uri_rdf_nil)
    & iext(uri_owl_inverseOf,sk0_8,uri_ex_p) ),
    inference(skolemization,[status(esa)],[f47]) ).

fof(f49,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sk0_10),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f50,plain,
    iext(uri_rdf_first,sk0_10,uri_ex_p),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f51,plain,
    iext(uri_rdf_rest,sk0_10,sk0_9),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f52,plain,
    iext(uri_rdf_first,sk0_9,sk0_8),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f53,plain,
    iext(uri_rdf_rest,sk0_9,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f54,plain,
    iext(uri_owl_inverseOf,sk0_8,uri_ex_p),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f56,plain,
    ip(sk0_8),
    inference(resolution,[status(thm)],[f40,f54]) ).

fof(f57,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[f41,f54]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( iext(sk0_8,X0,X1)
      | ~ iext(uri_ex_p,X1,X0) ),
    inference(resolution,[status(thm)],[f43,f54]) ).

fof(f73,plain,
    ( spl0_3
  <=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    introduced(split_symbol_definition) ).

fof(f74,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f73]) ).

fof(f76,plain,
    ( spl0_4
  <=> iext(uri_ex_p,sk0_3(uri_ex_p),sk0_5(uri_ex_p)) ),
    introduced(split_symbol_definition) ).

fof(f77,plain,
    ( iext(uri_ex_p,sk0_3(uri_ex_p),sk0_5(uri_ex_p))
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f76]) ).

fof(f79,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,sk0_3(uri_ex_p),sk0_5(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f34,f57]) ).

fof(f80,plain,
    ( spl0_3
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f79,f73,f76]) ).

fof(f89,plain,
    ( spl0_7
  <=> iext(uri_ex_p,sk0_4(uri_ex_p),sk0_5(uri_ex_p)) ),
    introduced(split_symbol_definition) ).

fof(f90,plain,
    ( iext(uri_ex_p,sk0_4(uri_ex_p),sk0_5(uri_ex_p))
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f89]) ).

fof(f92,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,sk0_4(uri_ex_p),sk0_5(uri_ex_p)) ),
    inference(resolution,[status(thm)],[f35,f57]) ).

fof(f93,plain,
    ( spl0_3
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f92,f73,f89]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,sk0_9)
      | ~ iext(uri_rdf_first,sk0_9,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X3,X0)
      | ~ iext(X1,X4,X5)
      | ~ iext(X2,X5,X6)
      | iext(X3,X4,X6) ),
    inference(resolution,[status(thm)],[f24,f53]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iext(uri_rdf_first,sk0_10,X0)
      | ~ iext(uri_rdf_first,sk0_9,X1)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sk0_10)
      | ~ iext(X0,X3,X4)
      | ~ iext(X1,X4,X5)
      | iext(X2,X3,X5) ),
    inference(resolution,[status(thm)],[f153,f51]) ).

fof(f163,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f74,f12]) ).

fof(f164,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f163,f46]) ).

fof(f165,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f164]) ).

fof(f176,plain,
    ( iext(sk0_8,sk0_5(uri_ex_p),sk0_3(uri_ex_p))
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f77,f72]) ).

fof(f215,plain,
    ( spl0_26
  <=> ip(uri_ex_p) ),
    introduced(split_symbol_definition) ).

fof(f217,plain,
    ( ~ ip(uri_ex_p)
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f215]) ).

fof(f225,plain,
    ( $false
    | spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f217,f57]) ).

fof(f226,plain,
    spl0_26,
    inference(contradiction_clause,[status(thm)],[f225]) ).

fof(f232,plain,
    ( spl0_28
  <=> ip(sk0_8) ),
    introduced(split_symbol_definition) ).

fof(f234,plain,
    ( ~ ip(sk0_8)
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f237,plain,
    ( $false
    | spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f234,f56]) ).

fof(f238,plain,
    spl0_28,
    inference(contradiction_clause,[status(thm)],[f237]) ).

fof(f247,plain,
    ( spl0_30
  <=> iext(uri_rdf_rest,sk0_10,sk0_9) ),
    introduced(split_symbol_definition) ).

fof(f249,plain,
    ( ~ iext(uri_rdf_rest,sk0_10,sk0_9)
    | spl0_30 ),
    inference(component_clause,[status(thm)],[f247]) ).

fof(f252,plain,
    ( $false
    | spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f249,f51]) ).

fof(f253,plain,
    spl0_30,
    inference(contradiction_clause,[status(thm)],[f252]) ).

fof(f254,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_first,sk0_10,X0)
      | ~ iext(uri_rdf_first,sk0_9,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(X1,X3,X4)
      | iext(uri_owl_sameAs,X2,X4) ),
    inference(resolution,[status(thm)],[f154,f49]) ).

fof(f255,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdf_first,sk0_9,X0)
      | ~ iext(uri_ex_p,X1,X2)
      | ~ iext(X0,X2,X3)
      | iext(uri_owl_sameAs,X1,X3) ),
    inference(resolution,[status(thm)],[f254,f50]) ).

fof(f256,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_ex_p,X0,X1)
      | ~ iext(sk0_8,X1,X2)
      | iext(uri_owl_sameAs,X0,X2) ),
    inference(resolution,[status(thm)],[f255,f52]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ iext(sk0_8,sk0_5(uri_ex_p),X0)
      | iext(uri_owl_sameAs,sk0_4(uri_ex_p),X0)
      | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f256,f90]) ).

fof(f265,plain,
    ( iext(uri_owl_sameAs,sk0_4(uri_ex_p),sk0_3(uri_ex_p))
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f257,f176]) ).

fof(f266,plain,
    ( sk0_4(uri_ex_p) = sk0_3(uri_ex_p)
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f265,f15]) ).

fof(f271,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | ~ ip(uri_ex_p)
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f266,f36]) ).

fof(f272,plain,
    ( spl0_3
    | ~ spl0_26
    | ~ spl0_7
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f271,f73,f215,f89,f76]) ).

fof(f275,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f80,f93,f165,f226,f238,f253,f272]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n010.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 10:31:52 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.027267 seconds
% 0.15/0.54  % CPU time: 0.018090 seconds
% 0.15/0.54  % Memory used: 3.063 MB
%------------------------------------------------------------------------------