TSTP Solution File: SWB022+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB022+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:38:37 EDT 2023

% Result   : Theorem 15.55s 2.48s
% Output   : CNFRefutation 15.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   72 (  21 unt;   0 def)
%            Number of atoms       :  298 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  354 ( 128   ~; 127   |;  90   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-4 aty)
%            Number of variables   :  159 (; 137   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,axiom,
    ! [P,Q] :
      ( iext(uri_rdfs_subPropertyOf,P,Q)
     => ( ip(P)
        & ip(Q)
        & ! [X,Y] :
            ( iext(P,X,Y)
           => iext(Q,X,Y) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f389,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/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
      & iext(uri_rdf_first,BNODE_l11,BNODE_pL)
      & iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
      & iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
      & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
      & iext(uri_rdf_first,BNODE_l21,BNODE_pL)
      & iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
      & iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
      & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
      & iext(uri_rdf_first,BNODE_l31,uri_ex_X)
      & iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
      & iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
      & iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
      & iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
      & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f665,plain,
    ! [P,Q] :
      ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
      | ( ip(P)
        & ip(Q)
        & ! [X,Y] :
            ( ~ iext(P,X,Y)
            | iext(Q,X,Y) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f73]) ).

fof(f668,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
      | ~ iext(X0,X2,X3)
      | iext(X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f665]) ).

fof(f1975,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)],[f389]) ).

fof(f1976,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)],[f1975]) ).

fof(f1977,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)],[f1976]) ).

fof(f1978,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_159(P,P2,P1,S1),sk0_161(P,P2,P1,S1))
              & iext(P2,sk0_161(P,P2,P1,S1),sk0_160(P,P2,P1,S1))
              & ~ iext(P,sk0_159(P,P2,P1,S1),sk0_160(P,P2,P1,S1)) ) ) ) ),
    inference(skolemization,[status(esa)],[f1977]) ).

fof(f1982,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)],[f1978]) ).

fof(f2405,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f560]) ).

fof(f2406,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(cnf_transformation,[status(esa)],[f2405]) ).

fof(f2407,plain,
    ? [BNODE_l33] :
      ( ? [BNODE_l32] :
          ( ? [BNODE_l31] :
              ( ? [BNODE_l22] :
                  ( ? [BNODE_l21] :
                      ( ? [BNODE_pL] :
                          ( ? [BNODE_l12] :
                              ( ? [BNODE_l11] :
                                  ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
                                  & iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
                                  & iext(uri_rdf_first,BNODE_l11,BNODE_pL)
                                  & iext(uri_rdf_rest,BNODE_l11,BNODE_l12) )
                              & iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
                              & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil) )
                          & iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
                          & iext(uri_rdf_first,BNODE_l21,BNODE_pL) )
                      & iext(uri_rdf_rest,BNODE_l21,BNODE_l22) )
                  & iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
                  & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) )
              & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
              & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
              & iext(uri_rdf_first,BNODE_l31,uri_ex_X)
              & iext(uri_rdf_rest,BNODE_l31,BNODE_l32) )
          & iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
          & iext(uri_rdf_rest,BNODE_l32,BNODE_l33) )
      & iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
      & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ),
    inference(miniscoping,[status(esa)],[f561]) ).

fof(f2408,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk0_204)
    & iext(uri_owl_propertyChainAxiom,uri_skos_member,sk0_206)
    & iext(uri_rdf_first,sk0_206,sk0_204)
    & iext(uri_rdf_rest,sk0_206,sk0_205)
    & iext(uri_rdf_first,sk0_205,uri_rdf_first)
    & iext(uri_rdf_rest,sk0_205,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,sk0_204,sk0_203)
    & iext(uri_rdf_first,sk0_203,sk0_204)
    & iext(uri_rdf_rest,sk0_203,sk0_202)
    & iext(uri_rdf_first,sk0_202,uri_rdf_rest)
    & iext(uri_rdf_rest,sk0_202,uri_rdf_nil)
    & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
    & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sk0_201)
    & iext(uri_rdf_first,sk0_201,uri_ex_X)
    & iext(uri_rdf_rest,sk0_201,sk0_200)
    & iext(uri_rdf_first,sk0_200,uri_ex_Y)
    & iext(uri_rdf_rest,sk0_200,sk0_199)
    & iext(uri_rdf_first,sk0_199,uri_ex_Z)
    & iext(uri_rdf_rest,sk0_199,uri_rdf_nil) ),
    inference(skolemization,[status(esa)],[f2407]) ).

fof(f2409,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk0_204),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2410,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,sk0_206),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2411,plain,
    iext(uri_rdf_first,sk0_206,sk0_204),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2412,plain,
    iext(uri_rdf_rest,sk0_206,sk0_205),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2413,plain,
    iext(uri_rdf_first,sk0_205,uri_rdf_first),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2414,plain,
    iext(uri_rdf_rest,sk0_205,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2415,plain,
    iext(uri_owl_propertyChainAxiom,sk0_204,sk0_203),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2416,plain,
    iext(uri_rdf_first,sk0_203,sk0_204),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2417,plain,
    iext(uri_rdf_rest,sk0_203,sk0_202),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2418,plain,
    iext(uri_rdf_first,sk0_202,uri_rdf_rest),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2419,plain,
    iext(uri_rdf_rest,sk0_202,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2421,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sk0_201),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2422,plain,
    iext(uri_rdf_first,sk0_201,uri_ex_X),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2423,plain,
    iext(uri_rdf_rest,sk0_201,sk0_200),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2424,plain,
    iext(uri_rdf_first,sk0_200,uri_ex_Y),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2425,plain,
    iext(uri_rdf_rest,sk0_200,sk0_199),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2426,plain,
    iext(uri_rdf_first,sk0_199,uri_ex_Z),
    inference(cnf_transformation,[status(esa)],[f2408]) ).

fof(f2519,plain,
    ( spl0_1
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    introduced(split_symbol_definition) ).

fof(f2521,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f2519]) ).

fof(f2522,plain,
    ( spl0_2
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    introduced(split_symbol_definition) ).

fof(f2524,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f2522]) ).

fof(f2525,plain,
    ( spl0_3
  <=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    introduced(split_symbol_definition) ).

fof(f2527,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f2525]) ).

fof(f2528,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f2406,f2519,f2522,f2525]) ).

fof(f3034,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,sk0_202)
      | ~ iext(uri_rdf_first,sk0_202,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X3,X0)
      | ~ iext(X1,X4,X5)
      | ~ iext(X2,X5,X6)
      | iext(X3,X4,X6) ),
    inference(resolution,[status(thm)],[f1982,f2419]) ).

fof(f3035,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X0,sk0_205)
      | ~ iext(uri_rdf_first,sk0_205,X2)
      | ~ iext(uri_owl_propertyChainAxiom,X3,X0)
      | ~ iext(X1,X4,X5)
      | ~ iext(X2,X5,X6)
      | iext(X3,X4,X6) ),
    inference(resolution,[status(thm)],[f1982,f2414]) ).

fof(f3037,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iext(uri_rdf_first,sk0_203,X0)
      | ~ iext(uri_rdf_first,sk0_202,X1)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sk0_203)
      | ~ iext(X0,X3,X4)
      | ~ iext(X1,X4,X5)
      | iext(X2,X3,X5) ),
    inference(resolution,[status(thm)],[f3034,f2417]) ).

fof(f3038,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ iext(uri_rdf_first,sk0_206,X0)
      | ~ iext(uri_rdf_first,sk0_205,X1)
      | ~ iext(uri_owl_propertyChainAxiom,X2,sk0_206)
      | ~ iext(X0,X3,X4)
      | ~ iext(X1,X4,X5)
      | iext(X2,X3,X5) ),
    inference(resolution,[status(thm)],[f3035,f2412]) ).

fof(f4234,plain,
    ! [X0,X1] :
      ( ~ iext(uri_skos_memberList,X0,X1)
      | iext(sk0_204,X0,X1) ),
    inference(resolution,[status(thm)],[f2409,f668]) ).

fof(f4235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_first,sk0_206,X0)
      | ~ iext(uri_rdf_first,sk0_205,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(X1,X3,X4)
      | iext(uri_skos_member,X2,X4) ),
    inference(resolution,[status(thm)],[f2410,f3038]) ).

fof(f4237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_first,sk0_203,X0)
      | ~ iext(uri_rdf_first,sk0_202,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(X1,X3,X4)
      | iext(sk0_204,X2,X4) ),
    inference(resolution,[status(thm)],[f2415,f3037]) ).

fof(f4341,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdf_first,sk0_202,X0)
      | ~ iext(sk0_204,X1,X2)
      | ~ iext(X0,X2,X3)
      | iext(sk0_204,X1,X3) ),
    inference(resolution,[status(thm)],[f2416,f4237]) ).

fof(f4344,plain,
    ! [X0,X1,X2] :
      ( ~ iext(sk0_204,X0,X1)
      | ~ iext(uri_rdf_rest,X1,X2)
      | iext(sk0_204,X0,X2) ),
    inference(resolution,[status(thm)],[f4341,f2418]) ).

fof(f4345,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdf_first,sk0_205,X0)
      | ~ iext(sk0_204,X1,X2)
      | ~ iext(X0,X2,X3)
      | iext(uri_skos_member,X1,X3) ),
    inference(resolution,[status(thm)],[f2411,f4235]) ).

fof(f4347,plain,
    ! [X0,X1,X2] :
      ( ~ iext(sk0_204,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | iext(uri_skos_member,X0,X2) ),
    inference(resolution,[status(thm)],[f2413,f4345]) ).

fof(f4349,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | iext(uri_skos_member,X2,X1)
      | ~ iext(sk0_204,X2,X3)
      | ~ iext(uri_rdf_rest,X3,X0) ),
    inference(resolution,[status(thm)],[f4347,f4344]) ).

fof(f4350,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_first,X0,X1)
      | iext(uri_skos_member,X2,X1)
      | ~ iext(uri_skos_memberList,X2,X0) ),
    inference(resolution,[status(thm)],[f4347,f4234]) ).

fof(f4352,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sk0_201,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[status(thm)],[f4350,f2421]) ).

fof(f4363,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sk0_199,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(sk0_204,X1,sk0_200) ),
    inference(resolution,[status(thm)],[f4349,f2425]) ).

fof(f4364,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sk0_200,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(sk0_204,X1,sk0_201) ),
    inference(resolution,[status(thm)],[f4349,f2423]) ).

fof(f4371,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_rdf_first,sk0_199,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(sk0_204,X1,X2)
      | ~ iext(uri_rdf_rest,X2,sk0_200) ),
    inference(resolution,[status(thm)],[f4363,f4344]) ).

fof(f4374,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sk0_200,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(uri_skos_memberList,X1,sk0_201) ),
    inference(resolution,[status(thm)],[f4364,f4234]) ).

fof(f4384,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sk0_200,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[status(thm)],[f4374,f2421]) ).

fof(f4415,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sk0_199,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(sk0_204,X1,sk0_201) ),
    inference(resolution,[status(thm)],[f4371,f2423]) ).

fof(f4417,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sk0_199,X0)
      | iext(uri_skos_member,X1,X0)
      | ~ iext(uri_skos_memberList,X1,sk0_201) ),
    inference(resolution,[status(thm)],[f4415,f4234]) ).

fof(f4418,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sk0_199,X0)
      | iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
    inference(resolution,[status(thm)],[f4417,f2421]) ).

fof(f4419,plain,
    ( ~ iext(uri_rdf_first,sk0_199,uri_ex_Z)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f4418,f2527]) ).

fof(f4420,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4419,f2426]) ).

fof(f4421,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f4420]) ).

fof(f4452,plain,
    ( ~ iext(uri_rdf_first,sk0_201,uri_ex_X)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f2521,f4352]) ).

fof(f4453,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4452,f2422]) ).

fof(f4454,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f4453]) ).

fof(f4457,plain,
    ( ~ iext(uri_rdf_first,sk0_200,uri_ex_Y)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f2524,f4384]) ).

fof(f4458,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4457,f2424]) ).

fof(f4459,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f4458]) ).

fof(f4460,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2528,f4421,f4454,f4459]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SWB022+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n004.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 10:36:07 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.16/0.36  % Drodi V3.5.1
% 15.55/2.48  % Refutation found
% 15.55/2.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 15.55/2.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.08/2.53  % Elapsed time: 2.180826 seconds
% 16.08/2.53  % CPU time: 16.140040 seconds
% 16.08/2.53  % Memory used: 156.582 MB
%------------------------------------------------------------------------------