TSTP Solution File: SWB021+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n003.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 Aug 31 18:37:20 EDT 2022

% Result   : Theorem 1.72s 0.58s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  183 (  44 unt;   0 def)
%            Number of atoms       : 1058 ( 192 equ)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives : 1305 ( 430   ~; 517   |; 310   &)
%                                         (  34 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-5 aty)
%            Number of functors    :   27 (  27 usr;  23 con; 0-4 aty)
%            Number of variables   :  504 ( 452   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f590,plain,
    $false,
    inference(subsumption_resolution,[],[f589,f137]) ).

fof(f137,plain,
    ic(uri_ex_c4),
    inference(resolution,[],[f95,f122]) ).

fof(f122,plain,
    iext(uri_owl_unionOf,uri_ex_c4,sK16),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( iext(uri_rdf_first,sK12,uri_ex_c2)
    & iext(uri_rdf_first,sK16,uri_ex_c1)
    & iext(uri_owl_unionOf,uri_ex_c4,sK16)
    & iext(uri_rdf_first,sK13,uri_ex_w1)
    & iext(uri_rdf_rest,sK15,sK9)
    & iext(uri_rdf_rest,sK13,sK10)
    & iext(uri_rdf_rest,sK11,uri_rdf_nil)
    & iext(uri_rdf_rest,sK10,uri_rdf_nil)
    & iext(uri_rdf_first,sK15,uri_ex_w1)
    & iext(uri_rdf_rest,sK12,uri_rdf_nil)
    & iext(uri_owl_oneOf,uri_ex_c2,sK8)
    & iext(uri_owl_oneOf,uri_ex_c1,sK13)
    & iext(uri_rdf_first,sK10,uri_ex_w2)
    & iext(uri_owl_oneOf,uri_ex_c3,sK15)
    & iext(uri_rdf_rest,sK16,sK12)
    & iext(uri_rdf_first,sK9,uri_ex_w2)
    & iext(uri_rdf_rest,sK14,uri_rdf_nil)
    & iext(uri_rdf_first,sK14,uri_ex_w3)
    & iext(uri_rdf_first,sK8,uri_ex_w2)
    & iext(uri_rdf_rest,sK8,sK11)
    & iext(uri_rdf_first,sK11,uri_ex_w3)
    & iext(uri_rdf_rest,sK9,sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f58,f59]) ).

fof(f59,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( iext(uri_rdf_first,X4,uri_ex_c2)
        & iext(uri_rdf_first,X8,uri_ex_c1)
        & iext(uri_owl_unionOf,uri_ex_c4,X8)
        & iext(uri_rdf_first,X5,uri_ex_w1)
        & iext(uri_rdf_rest,X7,X1)
        & iext(uri_rdf_rest,X5,X2)
        & iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_first,X7,uri_ex_w1)
        & iext(uri_rdf_rest,X4,uri_rdf_nil)
        & iext(uri_owl_oneOf,uri_ex_c2,X0)
        & iext(uri_owl_oneOf,uri_ex_c1,X5)
        & iext(uri_rdf_first,X2,uri_ex_w2)
        & iext(uri_owl_oneOf,uri_ex_c3,X7)
        & iext(uri_rdf_rest,X8,X4)
        & iext(uri_rdf_first,X1,uri_ex_w2)
        & iext(uri_rdf_rest,X6,uri_rdf_nil)
        & iext(uri_rdf_first,X6,uri_ex_w3)
        & iext(uri_rdf_first,X0,uri_ex_w2)
        & iext(uri_rdf_rest,X0,X3)
        & iext(uri_rdf_first,X3,uri_ex_w3)
        & iext(uri_rdf_rest,X1,X6) )
   => ( iext(uri_rdf_first,sK12,uri_ex_c2)
      & iext(uri_rdf_first,sK16,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c4,sK16)
      & iext(uri_rdf_first,sK13,uri_ex_w1)
      & iext(uri_rdf_rest,sK15,sK9)
      & iext(uri_rdf_rest,sK13,sK10)
      & iext(uri_rdf_rest,sK11,uri_rdf_nil)
      & iext(uri_rdf_rest,sK10,uri_rdf_nil)
      & iext(uri_rdf_first,sK15,uri_ex_w1)
      & iext(uri_rdf_rest,sK12,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c2,sK8)
      & iext(uri_owl_oneOf,uri_ex_c1,sK13)
      & iext(uri_rdf_first,sK10,uri_ex_w2)
      & iext(uri_owl_oneOf,uri_ex_c3,sK15)
      & iext(uri_rdf_rest,sK16,sK12)
      & iext(uri_rdf_first,sK9,uri_ex_w2)
      & iext(uri_rdf_rest,sK14,uri_rdf_nil)
      & iext(uri_rdf_first,sK14,uri_ex_w3)
      & iext(uri_rdf_first,sK8,uri_ex_w2)
      & iext(uri_rdf_rest,sK8,sK11)
      & iext(uri_rdf_first,sK11,uri_ex_w3)
      & iext(uri_rdf_rest,sK9,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( iext(uri_rdf_first,X4,uri_ex_c2)
      & iext(uri_rdf_first,X8,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c4,X8)
      & iext(uri_rdf_first,X5,uri_ex_w1)
      & iext(uri_rdf_rest,X7,X1)
      & iext(uri_rdf_rest,X5,X2)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X7,uri_ex_w1)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c2,X0)
      & iext(uri_owl_oneOf,uri_ex_c1,X5)
      & iext(uri_rdf_first,X2,uri_ex_w2)
      & iext(uri_owl_oneOf,uri_ex_c3,X7)
      & iext(uri_rdf_rest,X8,X4)
      & iext(uri_rdf_first,X1,uri_ex_w2)
      & iext(uri_rdf_rest,X6,uri_rdf_nil)
      & iext(uri_rdf_first,X6,uri_ex_w3)
      & iext(uri_rdf_first,X0,uri_ex_w2)
      & iext(uri_rdf_rest,X0,X3)
      & iext(uri_rdf_first,X3,uri_ex_w3)
      & iext(uri_rdf_rest,X1,X6) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ? [X4,X5,X8,X2,X0,X7,X3,X6,X1] :
      ( iext(uri_rdf_first,X0,uri_ex_c2)
      & iext(uri_rdf_first,X1,uri_ex_c1)
      & iext(uri_owl_unionOf,uri_ex_c4,X1)
      & iext(uri_rdf_first,X7,uri_ex_w1)
      & iext(uri_rdf_rest,X6,X5)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_rest,X8,uri_rdf_nil)
      & iext(uri_rdf_first,X6,uri_ex_w1)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_c2,X4)
      & iext(uri_owl_oneOf,uri_ex_c1,X7)
      & iext(uri_rdf_first,X8,uri_ex_w2)
      & iext(uri_owl_oneOf,uri_ex_c3,X6)
      & iext(uri_rdf_rest,X1,X0)
      & iext(uri_rdf_first,X5,uri_ex_w2)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_w3)
      & iext(uri_rdf_first,X4,uri_ex_w2)
      & iext(uri_rdf_rest,X4,X2)
      & iext(uri_rdf_first,X2,uri_ex_w3)
      & iext(uri_rdf_rest,X5,X3) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ? [X19,X18,X14,X17,X13,X16,X15,X11,X12] :
      ( iext(uri_rdf_first,X12,uri_ex_w2)
      & iext(uri_rdf_first,X11,uri_ex_w1)
      & iext(uri_rdf_first,X17,uri_ex_w3)
      & iext(uri_owl_oneOf,uri_ex_c3,X15)
      & iext(uri_owl_unionOf,uri_ex_c4,X18)
      & iext(uri_rdf_first,X19,uri_ex_c2)
      & iext(uri_rdf_rest,X18,X19)
      & iext(uri_rdf_rest,X11,X12)
      & iext(uri_rdf_rest,X16,X17)
      & iext(uri_rdf_rest,X15,X16)
      & iext(uri_owl_oneOf,uri_ex_c1,X11)
      & iext(uri_rdf_rest,X12,uri_rdf_nil)
      & iext(uri_rdf_first,X13,uri_ex_w2)
      & iext(uri_rdf_rest,X14,uri_rdf_nil)
      & iext(uri_rdf_first,X14,uri_ex_w3)
      & iext(uri_owl_oneOf,uri_ex_c2,X13)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_rest,X17,uri_rdf_nil)
      & iext(uri_rdf_first,X16,uri_ex_w2)
      & iext(uri_rdf_first,X15,uri_ex_w1)
      & iext(uri_rdf_first,X18,uri_ex_c1)
      & iext(uri_rdf_rest,X19,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_unionOf,X1,X0)
      | ic(X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_unionOf,X1,X0)
      | ( ic(X1)
        & icext(uri_rdf_List,X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ~ iext(uri_owl_unionOf,X0,X1)
      | ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_unionOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).

fof(f589,plain,
    ~ ic(uri_ex_c4),
    inference(subsumption_resolution,[],[f588,f337]) ).

fof(f337,plain,
    icext(uri_ex_c4,uri_ex_w2),
    inference(resolution,[],[f327,f258]) ).

fof(f258,plain,
    sP0(uri_ex_c4,uri_ex_c1,uri_ex_c2),
    inference(resolution,[],[f257,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ sP1(sK16,uri_ex_c4,X1,X0)
      | sP0(uri_ex_c4,X0,X1) ),
    inference(resolution,[],[f122,f64]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_unionOf,X1,X0)
      | sP0(X1,X3,X2)
      | ~ sP1(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( sP0(X1,X3,X2)
          | ~ iext(uri_owl_unionOf,X1,X0) )
        & ( iext(uri_owl_unionOf,X1,X0)
          | ~ sP0(X1,X3,X2) ) )
      | ~ sP1(X0,X1,X2,X3) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X4,X1,X2,X0] :
      ( ( ( sP0(X1,X0,X2)
          | ~ iext(uri_owl_unionOf,X1,X4) )
        & ( iext(uri_owl_unionOf,X1,X4)
          | ~ sP0(X1,X0,X2) ) )
      | ~ sP1(X4,X1,X2,X0) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X4,X1,X2,X0] :
      ( ( sP0(X1,X0,X2)
      <=> iext(uri_owl_unionOf,X1,X4) )
      | ~ sP1(X4,X1,X2,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f257,plain,
    ! [X0] : sP1(sK16,X0,uri_ex_c2,uri_ex_c1),
    inference(resolution,[],[f255,f124]) ).

fof(f124,plain,
    iext(uri_rdf_first,sK12,uri_ex_c2),
    inference(cnf_transformation,[],[f60]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK12,X1)
      | sP1(sK16,X0,X1,uri_ex_c1) ),
    inference(resolution,[],[f232,f123]) ).

fof(f123,plain,
    iext(uri_rdf_first,sK16,uri_ex_c1),
    inference(cnf_transformation,[],[f60]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK16,X2)
      | sP1(sK16,X1,X0,X2)
      | ~ iext(uri_rdf_first,sK12,X0) ),
    inference(resolution,[],[f148,f110]) ).

fof(f110,plain,
    iext(uri_rdf_rest,sK16,sK12),
    inference(cnf_transformation,[],[f60]) ).

fof(f148,plain,
    ! [X10,X11,X8,X9] :
      ( ~ iext(uri_rdf_rest,X9,sK12)
      | ~ iext(uri_rdf_first,sK12,X8)
      | sP1(X9,X11,X8,X10)
      | ~ iext(uri_rdf_first,X9,X10) ),
    inference(resolution,[],[f74,f115]) ).

fof(f115,plain,
    iext(uri_rdf_rest,sK12,uri_rdf_nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X3)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X2,X1)
      | sP1(X2,X0,X3,X4) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3,X4] :
      ( sP1(X2,X0,X3,X4)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X3)
      | ~ iext(uri_rdf_rest,X2,X1) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X3,X4,X2,X0] :
      ( sP1(X4,X1,X2,X0)
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_rest,X4,X3) ),
    inference(definition_folding,[],[f18,f26,f25]) ).

fof(f25,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ( ic(X1)
        & ic(X0)
        & ! [X5] :
            ( icext(X1,X5)
          <=> ( icext(X2,X5)
              | icext(X0,X5) ) )
        & ic(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f18,plain,
    ! [X1,X3,X4,X2,X0] :
      ( ( ( ic(X1)
          & ic(X0)
          & ! [X5] :
              ( icext(X1,X5)
            <=> ( icext(X2,X5)
                | icext(X0,X5) ) )
          & ic(X2) )
      <=> iext(uri_owl_unionOf,X1,X4) )
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_rest,X4,X3) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ! [X3,X4,X1,X2,X0] :
      ( ( ( ic(X1)
          & ic(X0)
          & ! [X5] :
              ( icext(X1,X5)
            <=> ( icext(X2,X5)
                | icext(X0,X5) ) )
          & ic(X2) )
      <=> iext(uri_owl_unionOf,X1,X4) )
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_rdf_first,X4,X0)
      | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X4,X3) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X3,X4,X1,X2,X0] :
      ( ( iext(uri_rdf_first,X3,X2)
        & iext(uri_rdf_first,X4,X0)
        & iext(uri_rdf_rest,X3,uri_rdf_nil)
        & iext(uri_rdf_rest,X4,X3) )
     => ( ( ic(X1)
          & ic(X0)
          & ! [X5] :
              ( icext(X1,X5)
            <=> ( icext(X2,X5)
                | icext(X0,X5) ) )
          & ic(X2) )
      <=> iext(uri_owl_unionOf,X1,X4) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X2,X6,X5,X3] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X3,X4) )
     => ( iext(uri_owl_unionOf,X2,X3)
      <=> ( ! [X0] :
              ( icext(X2,X0)
            <=> ( icext(X6,X0)
                | icext(X4,X0) ) )
          & ic(X6)
          & ic(X2)
          & ic(X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).

fof(f327,plain,
    ! [X6,X5] :
      ( ~ sP0(X5,X6,uri_ex_c2)
      | icext(X5,uri_ex_w2) ),
    inference(resolution,[],[f297,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1,X4] :
      ( ~ icext(X2,X4)
      | icext(X0,X4)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ ic(X0)
        | ~ ic(X1)
        | ( ( ( ~ icext(X2,sK4(X0,X1,X2))
              & ~ icext(X1,sK4(X0,X1,X2)) )
            | ~ icext(X0,sK4(X0,X1,X2)) )
          & ( icext(X2,sK4(X0,X1,X2))
            | icext(X1,sK4(X0,X1,X2))
            | icext(X0,sK4(X0,X1,X2)) ) )
        | ~ ic(X2) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X4] :
              ( ( icext(X0,X4)
                | ( ~ icext(X2,X4)
                  & ~ icext(X1,X4) ) )
              & ( icext(X2,X4)
                | icext(X1,X4)
                | ~ icext(X0,X4) ) )
          & ic(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ icext(X2,X3)
              & ~ icext(X1,X3) )
            | ~ icext(X0,X3) )
          & ( icext(X2,X3)
            | icext(X1,X3)
            | icext(X0,X3) ) )
     => ( ( ( ~ icext(X2,sK4(X0,X1,X2))
            & ~ icext(X1,sK4(X0,X1,X2)) )
          | ~ icext(X0,sK4(X0,X1,X2)) )
        & ( icext(X2,sK4(X0,X1,X2))
          | icext(X1,sK4(X0,X1,X2))
          | icext(X0,sK4(X0,X1,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( sP0(X0,X1,X2)
        | ~ ic(X0)
        | ~ ic(X1)
        | ? [X3] :
            ( ( ( ~ icext(X2,X3)
                & ~ icext(X1,X3) )
              | ~ icext(X0,X3) )
            & ( icext(X2,X3)
              | icext(X1,X3)
              | icext(X0,X3) ) )
        | ~ ic(X2) )
      & ( ( ic(X0)
          & ic(X1)
          & ! [X4] :
              ( ( icext(X0,X4)
                | ( ~ icext(X2,X4)
                  & ~ icext(X1,X4) ) )
              & ( icext(X2,X4)
                | icext(X1,X4)
                | ~ icext(X0,X4) ) )
          & ic(X2) )
        | ~ sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,X2)
        | ~ ic(X1)
        | ~ ic(X0)
        | ? [X5] :
            ( ( ( ~ icext(X2,X5)
                & ~ icext(X0,X5) )
              | ~ icext(X1,X5) )
            & ( icext(X2,X5)
              | icext(X0,X5)
              | icext(X1,X5) ) )
        | ~ ic(X2) )
      & ( ( ic(X1)
          & ic(X0)
          & ! [X5] :
              ( ( icext(X1,X5)
                | ( ~ icext(X2,X5)
                  & ~ icext(X0,X5) ) )
              & ( icext(X2,X5)
                | icext(X0,X5)
                | ~ icext(X1,X5) ) )
          & ic(X2) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0,X2] :
      ( ( sP0(X1,X0,X2)
        | ~ ic(X1)
        | ~ ic(X0)
        | ? [X5] :
            ( ( ( ~ icext(X2,X5)
                & ~ icext(X0,X5) )
              | ~ icext(X1,X5) )
            & ( icext(X2,X5)
              | icext(X0,X5)
              | icext(X1,X5) ) )
        | ~ ic(X2) )
      & ( ( ic(X1)
          & ic(X0)
          & ! [X5] :
              ( ( icext(X1,X5)
                | ( ~ icext(X2,X5)
                  & ~ icext(X0,X5) ) )
              & ( icext(X2,X5)
                | icext(X0,X5)
                | ~ icext(X1,X5) ) )
          & ic(X2) )
        | ~ sP0(X1,X0,X2) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f297,plain,
    icext(uri_ex_c2,uri_ex_w2),
    inference(resolution,[],[f296,f114]) ).

fof(f114,plain,
    iext(uri_owl_oneOf,uri_ex_c2,sK8),
    inference(cnf_transformation,[],[f60]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ iext(uri_owl_oneOf,X0,sK8)
      | icext(X0,uri_ex_w2) ),
    inference(resolution,[],[f278,f106]) ).

fof(f106,plain,
    iext(uri_rdf_first,sK8,uri_ex_w2),
    inference(cnf_transformation,[],[f60]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X0)
      | ~ iext(uri_owl_oneOf,X1,sK8)
      | icext(X1,X0) ),
    inference(resolution,[],[f235,f104]) ).

fof(f104,plain,
    iext(uri_rdf_first,sK11,uri_ex_w3),
    inference(cnf_transformation,[],[f60]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK11,X2)
      | ~ iext(uri_rdf_first,sK8,X0)
      | ~ iext(uri_owl_oneOf,X1,sK8)
      | icext(X1,X0) ),
    inference(resolution,[],[f159,f105]) ).

fof(f105,plain,
    iext(uri_rdf_rest,sK8,sK11),
    inference(cnf_transformation,[],[f60]) ).

fof(f159,plain,
    ! [X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X6,sK11)
      | ~ iext(uri_rdf_first,X6,X5)
      | ~ iext(uri_owl_oneOf,X4,X6)
      | icext(X4,X5)
      | ~ iext(uri_rdf_first,sK11,X7) ),
    inference(resolution,[],[f128,f118]) ).

fof(f118,plain,
    iext(uri_rdf_rest,sK11,uri_rdf_nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f128,plain,
    ! [X2,X3,X0,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | icext(X0,X6)
      | ~ iext(uri_rdf_first,X4,X6)
      | ~ iext(uri_owl_oneOf,X0,X4)
      | ~ iext(uri_rdf_rest,X4,X3)
      | ~ iext(uri_rdf_first,X3,X2) ),
    inference(equality_resolution,[],[f99]) ).

fof(f99,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_rdf_rest,X4,X3)
      | ~ iext(uri_rdf_first,X3,X2)
      | icext(X0,X6)
      | X1 != X6
      | ~ iext(uri_owl_oneOf,X0,X4) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_rdf_rest,X4,X3)
      | ~ iext(uri_rdf_first,X3,X2)
      | ( ( iext(uri_owl_oneOf,X0,X4)
          | ( ( ( sK7(X0,X1,X2) != X1
                & sK7(X0,X1,X2) != X2 )
              | ~ icext(X0,sK7(X0,X1,X2)) )
            & ( sK7(X0,X1,X2) = X1
              | sK7(X0,X1,X2) = X2
              | icext(X0,sK7(X0,X1,X2)) ) )
          | ~ ic(X0) )
        & ( ( ! [X6] :
                ( ( icext(X0,X6)
                  | ( X1 != X6
                    & X2 != X6 ) )
                & ( X1 = X6
                  | X2 = X6
                  | ~ icext(X0,X6) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X4) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f55,f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( ( ( X1 != X5
              & X2 != X5 )
            | ~ icext(X0,X5) )
          & ( X1 = X5
            | X2 = X5
            | icext(X0,X5) ) )
     => ( ( ( sK7(X0,X1,X2) != X1
            & sK7(X0,X1,X2) != X2 )
          | ~ icext(X0,sK7(X0,X1,X2)) )
        & ( sK7(X0,X1,X2) = X1
          | sK7(X0,X1,X2) = X2
          | icext(X0,sK7(X0,X1,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_rdf_rest,X4,X3)
      | ~ iext(uri_rdf_first,X3,X2)
      | ( ( iext(uri_owl_oneOf,X0,X4)
          | ? [X5] :
              ( ( ( X1 != X5
                  & X2 != X5 )
                | ~ icext(X0,X5) )
              & ( X1 = X5
                | X2 = X5
                | icext(X0,X5) ) )
          | ~ ic(X0) )
        & ( ( ! [X6] :
                ( ( icext(X0,X6)
                  | ( X1 != X6
                    & X2 != X6 ) )
                & ( X1 = X6
                  | X2 = X6
                  | ~ icext(X0,X6) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X4) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X1,X4,X3,X0,X2] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X0,X3)
      | ( ( iext(uri_owl_oneOf,X1,X2)
          | ? [X5] :
              ( ( ( X4 != X5
                  & X3 != X5 )
                | ~ icext(X1,X5) )
              & ( X4 = X5
                | X3 = X5
                | icext(X1,X5) ) )
          | ~ ic(X1) )
        & ( ( ! [X5] :
                ( ( icext(X1,X5)
                  | ( X4 != X5
                    & X3 != X5 ) )
                & ( X4 = X5
                  | X3 = X5
                  | ~ icext(X1,X5) ) )
            & ic(X1) )
          | ~ iext(uri_owl_oneOf,X1,X2) ) ) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X1,X4,X3,X0,X2] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X0,X3)
      | ( ( iext(uri_owl_oneOf,X1,X2)
          | ? [X5] :
              ( ( ( X4 != X5
                  & X3 != X5 )
                | ~ icext(X1,X5) )
              & ( X4 = X5
                | X3 = X5
                | icext(X1,X5) ) )
          | ~ ic(X1) )
        & ( ( ! [X5] :
                ( ( icext(X1,X5)
                  | ( X4 != X5
                    & X3 != X5 ) )
                & ( X4 = X5
                  | X3 = X5
                  | ~ icext(X1,X5) ) )
            & ic(X1) )
          | ~ iext(uri_owl_oneOf,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X4,X3,X0,X2] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X0,X3)
      | ( iext(uri_owl_oneOf,X1,X2)
      <=> ( ! [X5] :
              ( icext(X1,X5)
            <=> ( X4 = X5
                | X3 = X5 ) )
          & ic(X1) ) ) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X1,X3,X4,X2,X0] :
      ( ( iext(uri_owl_oneOf,X1,X2)
      <=> ( ! [X5] :
              ( icext(X1,X5)
            <=> ( X4 = X5
                | X3 = X5 ) )
          & ic(X1) ) )
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_first,X0,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X1,X3,X4,X2,X0] :
      ( ( iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdf_rest,X2,X0)
        & iext(uri_rdf_first,X2,X4)
        & iext(uri_rdf_first,X0,X3) )
     => ( iext(uri_owl_oneOf,X1,X2)
      <=> ( ! [X5] :
              ( icext(X1,X5)
            <=> ( X4 = X5
                | X3 = X5 ) )
          & ic(X1) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X5,X2,X3,X8,X7] :
      ( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
        & iext(uri_rdf_first,X5,X8)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X3,X7) )
     => ( ( ic(X2)
          & ! [X0] :
              ( icext(X2,X0)
            <=> ( X0 = X8
                | X0 = X7 ) ) )
      <=> iext(uri_owl_oneOf,X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).

fof(f588,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w2)
    | ~ ic(uri_ex_c4) ),
    inference(subsumption_resolution,[],[f587,f93]) ).

fof(f93,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(flattening,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).

fof(f587,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c4,uri_ex_w2)
    | ~ ic(uri_ex_c4) ),
    inference(subsumption_resolution,[],[f586,f528]) ).

fof(f528,plain,
    icext(uri_ex_c3,uri_ex_w2),
    inference(resolution,[],[f525,f127]) ).

fof(f127,plain,
    ! [X2,X0,X1,X5] :
      ( ~ sP2(X0,X1,X2,X5)
      | icext(X0,X5) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X5] :
      ( icext(X0,X5)
      | X3 != X5
      | ~ sP2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP2(X0,X1,X2,X3)
        | ( ( ~ icext(X0,sK5(X0,X1,X2,X3))
            | ( sK5(X0,X1,X2,X3) != X1
              & sK5(X0,X1,X2,X3) != X2
              & sK5(X0,X1,X2,X3) != X3 ) )
          & ( icext(X0,sK5(X0,X1,X2,X3))
            | sK5(X0,X1,X2,X3) = X1
            | sK5(X0,X1,X2,X3) = X2
            | sK5(X0,X1,X2,X3) = X3 ) )
        | ~ ic(X0) )
      & ( ( ! [X5] :
              ( ( X1 = X5
                | X2 = X5
                | X3 = X5
                | ~ icext(X0,X5) )
              & ( icext(X0,X5)
                | ( X1 != X5
                  & X2 != X5
                  & X3 != X5 ) ) )
          & ic(X0) )
        | ~ sP2(X0,X1,X2,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f43,f44]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ( ~ icext(X0,X4)
            | ( X1 != X4
              & X2 != X4
              & X3 != X4 ) )
          & ( icext(X0,X4)
            | X1 = X4
            | X2 = X4
            | X3 = X4 ) )
     => ( ( ~ icext(X0,sK5(X0,X1,X2,X3))
          | ( sK5(X0,X1,X2,X3) != X1
            & sK5(X0,X1,X2,X3) != X2
            & sK5(X0,X1,X2,X3) != X3 ) )
        & ( icext(X0,sK5(X0,X1,X2,X3))
          | sK5(X0,X1,X2,X3) = X1
          | sK5(X0,X1,X2,X3) = X2
          | sK5(X0,X1,X2,X3) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP2(X0,X1,X2,X3)
        | ? [X4] :
            ( ( ~ icext(X0,X4)
              | ( X1 != X4
                & X2 != X4
                & X3 != X4 ) )
            & ( icext(X0,X4)
              | X1 = X4
              | X2 = X4
              | X3 = X4 ) )
        | ~ ic(X0) )
      & ( ( ! [X5] :
              ( ( X1 = X5
                | X2 = X5
                | X3 = X5
                | ~ icext(X0,X5) )
              & ( icext(X0,X5)
                | ( X1 != X5
                  & X2 != X5
                  & X3 != X5 ) ) )
          & ic(X0) )
        | ~ sP2(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X3,X4,X1,X5] :
      ( ( sP2(X3,X4,X1,X5)
        | ? [X7] :
            ( ( ~ icext(X3,X7)
              | ( X4 != X7
                & X1 != X7
                & X5 != X7 ) )
            & ( icext(X3,X7)
              | X4 = X7
              | X1 = X7
              | X5 = X7 ) )
        | ~ ic(X3) )
      & ( ( ! [X7] :
              ( ( X4 = X7
                | X1 = X7
                | X5 = X7
                | ~ icext(X3,X7) )
              & ( icext(X3,X7)
                | ( X4 != X7
                  & X1 != X7
                  & X5 != X7 ) ) )
          & ic(X3) )
        | ~ sP2(X3,X4,X1,X5) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X3,X4,X1,X5] :
      ( ( sP2(X3,X4,X1,X5)
        | ? [X7] :
            ( ( ~ icext(X3,X7)
              | ( X4 != X7
                & X1 != X7
                & X5 != X7 ) )
            & ( icext(X3,X7)
              | X4 = X7
              | X1 = X7
              | X5 = X7 ) )
        | ~ ic(X3) )
      & ( ( ! [X7] :
              ( ( X4 = X7
                | X1 = X7
                | X5 = X7
                | ~ icext(X3,X7) )
              & ( icext(X3,X7)
                | ( X4 != X7
                  & X1 != X7
                  & X5 != X7 ) ) )
          & ic(X3) )
        | ~ sP2(X3,X4,X1,X5) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X3,X4,X1,X5] :
      ( sP2(X3,X4,X1,X5)
    <=> ( ! [X7] :
            ( ( X4 = X7
              | X1 = X7
              | X5 = X7 )
          <=> icext(X3,X7) )
        & ic(X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f525,plain,
    sP2(uri_ex_c3,uri_ex_w3,uri_ex_w1,uri_ex_w2),
    inference(resolution,[],[f524,f130]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( ~ sP3(X0,X1,X2,uri_ex_c3,sK15)
      | sP2(uri_ex_c3,X2,X1,X0) ),
    inference(resolution,[],[f75,f111]) ).

fof(f111,plain,
    iext(uri_owl_oneOf,uri_ex_c3,sK15),
    inference(cnf_transformation,[],[f60]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X3,X4)
      | ~ sP3(X0,X1,X2,X3,X4)
      | sP2(X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( iext(uri_owl_oneOf,X3,X4)
          | ~ sP2(X3,X2,X1,X0) )
        & ( sP2(X3,X2,X1,X0)
          | ~ iext(uri_owl_oneOf,X3,X4) ) )
      | ~ sP3(X0,X1,X2,X3,X4) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X5,X1,X4,X3,X0] :
      ( ( ( iext(uri_owl_oneOf,X3,X0)
          | ~ sP2(X3,X4,X1,X5) )
        & ( sP2(X3,X4,X1,X5)
          | ~ iext(uri_owl_oneOf,X3,X0) ) )
      | ~ sP3(X5,X1,X4,X3,X0) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X5,X1,X4,X3,X0] :
      ( ( iext(uri_owl_oneOf,X3,X0)
      <=> sP2(X3,X4,X1,X5) )
      | ~ sP3(X5,X1,X4,X3,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f524,plain,
    ! [X0] : sP3(uri_ex_w2,uri_ex_w1,uri_ex_w3,X0,sK15),
    inference(resolution,[],[f523,f109]) ).

fof(f109,plain,
    iext(uri_rdf_first,sK9,uri_ex_w2),
    inference(cnf_transformation,[],[f60]) ).

fof(f523,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK9,X0)
      | sP3(X0,uri_ex_w1,uri_ex_w3,X1,sK15) ),
    inference(resolution,[],[f521,f107]) ).

fof(f107,plain,
    iext(uri_rdf_first,sK14,uri_ex_w3),
    inference(cnf_transformation,[],[f60]) ).

fof(f521,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK14,X1)
      | ~ iext(uri_rdf_first,sK9,X0)
      | sP3(X0,uri_ex_w1,X1,X2,sK15) ),
    inference(resolution,[],[f342,f116]) ).

fof(f116,plain,
    iext(uri_rdf_first,sK15,uri_ex_w1),
    inference(cnf_transformation,[],[f60]) ).

fof(f342,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK15,X0)
      | sP3(X1,X0,X2,X3,sK15)
      | ~ iext(uri_rdf_first,sK9,X1)
      | ~ iext(uri_rdf_first,sK14,X2) ),
    inference(resolution,[],[f253,f120]) ).

fof(f120,plain,
    iext(uri_rdf_rest,sK15,sK9),
    inference(cnf_transformation,[],[f60]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X0,sK9)
      | ~ iext(uri_rdf_first,X0,X1)
      | sP3(X2,X1,X3,X4,X0)
      | ~ iext(uri_rdf_first,sK14,X3)
      | ~ iext(uri_rdf_first,sK9,X2) ),
    inference(resolution,[],[f183,f103]) ).

fof(f103,plain,
    iext(uri_rdf_rest,sK9,sK14),
    inference(cnf_transformation,[],[f60]) ).

fof(f183,plain,
    ! [X21,X18,X19,X22,X23,X20] :
      ( ~ iext(uri_rdf_rest,X19,sK14)
      | ~ iext(uri_rdf_first,X18,X22)
      | ~ iext(uri_rdf_first,X19,X20)
      | ~ iext(uri_rdf_rest,X18,X19)
      | sP3(X20,X22,X21,X23,X18)
      | ~ iext(uri_rdf_first,sK14,X21) ),
    inference(resolution,[],[f86,f108]) ).

fof(f108,plain,
    iext(uri_rdf_rest,sK14,uri_rdf_nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X3,X2)
      | ~ iext(uri_rdf_first,X2,X6)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X3,X4)
      | sP3(X6,X4,X1,X5,X3) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( sP3(X6,X4,X1,X5,X3)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_rest,X3,X2)
      | ~ iext(uri_rdf_first,X3,X4)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,X6) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X2,X4,X6,X0,X1,X3,X5] :
      ( sP3(X5,X1,X4,X3,X0)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X6,X2)
      | ~ iext(uri_rdf_rest,X0,X6)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X6,X5) ),
    inference(definition_folding,[],[f20,f29,f28]) ).

fof(f20,plain,
    ! [X2,X4,X6,X0,X1,X3,X5] :
      ( ( iext(uri_owl_oneOf,X3,X0)
      <=> ( ! [X7] :
              ( ( X4 = X7
                | X1 = X7
                | X5 = X7 )
            <=> icext(X3,X7) )
          & ic(X3) ) )
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X6,X2)
      | ~ iext(uri_rdf_rest,X0,X6)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X6,X5) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X2,X1,X4,X6,X5,X0,X3] :
      ( ( iext(uri_owl_oneOf,X3,X0)
      <=> ( ! [X7] :
              ( ( X4 = X7
                | X1 = X7
                | X5 = X7 )
            <=> icext(X3,X7) )
          & ic(X3) ) )
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,X6)
      | ~ iext(uri_rdf_first,X0,X1)
      | ~ iext(uri_rdf_first,X2,X4)
      | ~ iext(uri_rdf_rest,X6,X2)
      | ~ iext(uri_rdf_first,X6,X5) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X2,X1,X4,X6,X5,X0,X3] :
      ( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
        & iext(uri_rdf_rest,X0,X6)
        & iext(uri_rdf_first,X0,X1)
        & iext(uri_rdf_first,X2,X4)
        & iext(uri_rdf_rest,X6,X2)
        & iext(uri_rdf_first,X6,X5) )
     => ( iext(uri_owl_oneOf,X3,X0)
      <=> ( ! [X7] :
              ( ( X4 = X7
                | X1 = X7
                | X5 = X7 )
            <=> icext(X3,X7) )
          & ic(X3) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X7,X9,X2,X10,X8,X5] :
      ( ( iext(uri_rdf_first,X3,X7)
        & iext(uri_rdf_rest,X9,uri_rdf_nil)
        & iext(uri_rdf_rest,X3,X5)
        & iext(uri_rdf_first,X9,X10)
        & iext(uri_rdf_rest,X5,X9)
        & iext(uri_rdf_first,X5,X8) )
     => ( ( ! [X0] :
              ( icext(X2,X0)
            <=> ( X0 = X8
                | X0 = X10
                | X0 = X7 ) )
          & ic(X2) )
      <=> iext(uri_owl_oneOf,X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).

fof(f586,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w2)
    | ~ icext(uri_ex_c4,uri_ex_w2)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
    inference(superposition,[],[f141,f574]) ).

fof(f574,plain,
    uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3),
    inference(subsumption_resolution,[],[f573,f529]) ).

fof(f529,plain,
    icext(uri_ex_c3,uri_ex_w1),
    inference(resolution,[],[f525,f126]) ).

fof(f126,plain,
    ! [X3,X0,X1,X5] :
      ( ~ sP2(X0,X1,X5,X3)
      | icext(X0,X5) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X5] :
      ( icext(X0,X5)
      | X2 != X5
      | ~ sP2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f573,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w1)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(subsumption_resolution,[],[f572,f287]) ).

fof(f287,plain,
    icext(uri_ex_c4,uri_ex_w1),
    inference(resolution,[],[f285,f258]) ).

fof(f285,plain,
    ! [X8,X7] :
      ( ~ sP0(X7,uri_ex_c1,X8)
      | icext(X7,uri_ex_w1) ),
    inference(resolution,[],[f280,f67]) ).

fof(f67,plain,
    ! [X2,X0,X1,X4] :
      ( ~ icext(X1,X4)
      | ~ sP0(X0,X1,X2)
      | icext(X0,X4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f280,plain,
    icext(uri_ex_c1,uri_ex_w1),
    inference(resolution,[],[f277,f113]) ).

fof(f113,plain,
    iext(uri_owl_oneOf,uri_ex_c1,sK13),
    inference(cnf_transformation,[],[f60]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ iext(uri_owl_oneOf,X0,sK13)
      | icext(X0,uri_ex_w1) ),
    inference(resolution,[],[f276,f112]) ).

fof(f112,plain,
    iext(uri_rdf_first,sK10,uri_ex_w2),
    inference(cnf_transformation,[],[f60]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK10,X1)
      | ~ iext(uri_owl_oneOf,X0,sK13)
      | icext(X0,uri_ex_w1) ),
    inference(resolution,[],[f234,f121]) ).

fof(f121,plain,
    iext(uri_rdf_first,sK13,uri_ex_w1),
    inference(cnf_transformation,[],[f60]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK13,X0)
      | ~ iext(uri_owl_oneOf,X1,sK13)
      | ~ iext(uri_rdf_first,sK10,X2)
      | icext(X1,X0) ),
    inference(resolution,[],[f158,f119]) ).

fof(f119,plain,
    iext(uri_rdf_rest,sK13,sK10),
    inference(cnf_transformation,[],[f60]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,X2,sK10)
      | ~ iext(uri_rdf_first,X2,X1)
      | icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,X2)
      | ~ iext(uri_rdf_first,sK10,X3) ),
    inference(resolution,[],[f128,f117]) ).

fof(f117,plain,
    iext(uri_rdf_rest,sK10,uri_rdf_nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f572,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w1)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | ~ icext(uri_ex_c3,uri_ex_w1) ),
    inference(subsumption_resolution,[],[f571,f93]) ).

fof(f571,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ icext(uri_ex_c4,uri_ex_w1)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(subsumption_resolution,[],[f569,f137]) ).

fof(f569,plain,
    ( ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | ~ icext(uri_ex_c3,uri_ex_w1)
    | ~ icext(uri_ex_c4,uri_ex_w1) ),
    inference(superposition,[],[f141,f560]) ).

fof(f560,plain,
    ( uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(subsumption_resolution,[],[f559,f530]) ).

fof(f530,plain,
    icext(uri_ex_c3,uri_ex_w3),
    inference(resolution,[],[f525,f125]) ).

fof(f125,plain,
    ! [X2,X3,X0,X5] :
      ( ~ sP2(X0,X5,X2,X3)
      | icext(X0,X5) ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X2,X3,X0,X1,X5] :
      ( icext(X0,X5)
      | X1 != X5
      | ~ sP2(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f559,plain,
    ( ~ icext(uri_ex_c3,uri_ex_w3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(subsumption_resolution,[],[f558,f93]) ).

fof(f558,plain,
    ( uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | ~ icext(uri_ex_c3,uri_ex_w3) ),
    inference(subsumption_resolution,[],[f557,f137]) ).

fof(f557,plain,
    ( ~ ic(uri_ex_c4)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(subsumption_resolution,[],[f554,f421]) ).

fof(f421,plain,
    icext(uri_ex_c4,uri_ex_w3),
    inference(resolution,[],[f416,f258]) ).

fof(f416,plain,
    ! [X6,X5] :
      ( ~ sP0(X5,X6,uri_ex_c2)
      | icext(X5,uri_ex_w3) ),
    inference(resolution,[],[f413,f68]) ).

fof(f413,plain,
    icext(uri_ex_c2,uri_ex_w3),
    inference(resolution,[],[f408,f114]) ).

fof(f408,plain,
    ! [X0] :
      ( ~ iext(uri_owl_oneOf,X0,sK8)
      | icext(X0,uri_ex_w3) ),
    inference(resolution,[],[f292,f106]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X1)
      | icext(X0,uri_ex_w3)
      | ~ iext(uri_owl_oneOf,X0,sK8) ),
    inference(resolution,[],[f239,f104]) ).

fof(f239,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK11,X2)
      | ~ iext(uri_owl_oneOf,X0,sK8)
      | icext(X0,X2)
      | ~ iext(uri_rdf_first,sK8,X1) ),
    inference(resolution,[],[f163,f105]) ).

fof(f163,plain,
    ! [X6,X7,X4,X5] :
      ( ~ iext(uri_rdf_rest,X4,sK11)
      | ~ iext(uri_owl_oneOf,X5,X4)
      | ~ iext(uri_rdf_first,X4,X7)
      | ~ iext(uri_rdf_first,sK11,X6)
      | icext(X5,X6) ),
    inference(resolution,[],[f129,f118]) ).

fof(f129,plain,
    ! [X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X4,X3)
      | icext(X0,X6)
      | ~ iext(uri_rdf_first,X3,X6)
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_owl_oneOf,X0,X4) ),
    inference(equality_resolution,[],[f98]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_rdf_rest,X4,X3)
      | ~ iext(uri_rdf_first,X3,X2)
      | icext(X0,X6)
      | X2 != X6
      | ~ iext(uri_owl_oneOf,X0,X4) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f554,plain,
    ( ~ icext(uri_ex_c4,uri_ex_w3)
    | ~ icext(uri_ex_c3,uri_ex_w3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | ~ ic(uri_ex_c4)
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(superposition,[],[f141,f532]) ).

fof(f532,plain,
    ( uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(duplicate_literal_removal,[],[f526]) ).

fof(f526,plain,
    ( uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(resolution,[],[f525,f512]) ).

fof(f512,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(uri_ex_c3,X0,X1,X2)
      | sK6(uri_ex_c4,uri_ex_c3) = X1
      | uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3)
      | sK6(uri_ex_c4,uri_ex_c3) = X0
      | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
      | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
      | sK6(uri_ex_c4,uri_ex_c3) = X2 ),
    inference(resolution,[],[f510,f81]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ icext(X0,X5)
      | ~ sP2(X0,X1,X2,X3)
      | X2 = X5
      | X3 = X5
      | X1 = X5 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f510,plain,
    ( icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3))
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(duplicate_literal_removal,[],[f505]) ).

fof(f505,plain,
    ( uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3))
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w1 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(resolution,[],[f496,f484]) ).

fof(f484,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c1,X0)
      | uri_ex_w1 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f483,f113]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK13)
      | uri_ex_w2 = X1
      | uri_ex_w1 = X1
      | ~ icext(X0,X1) ),
    inference(resolution,[],[f319,f112]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK10,X2)
      | ~ iext(uri_owl_oneOf,X0,sK13)
      | ~ icext(X0,X1)
      | X1 = X2
      | uri_ex_w1 = X1 ),
    inference(resolution,[],[f244,f121]) ).

fof(f244,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK13,X1)
      | ~ icext(X3,X0)
      | X0 = X2
      | ~ iext(uri_rdf_first,sK10,X2)
      | ~ iext(uri_owl_oneOf,X3,sK13)
      | X0 = X1 ),
    inference(resolution,[],[f176,f119]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X2,sK10)
      | X1 = X3
      | X0 = X1
      | ~ iext(uri_rdf_first,sK10,X0)
      | ~ icext(X4,X1)
      | ~ iext(uri_owl_oneOf,X4,X2)
      | ~ iext(uri_rdf_first,X2,X3) ),
    inference(resolution,[],[f97,f117]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
      | X2 = X6
      | ~ iext(uri_rdf_first,X4,X1)
      | ~ iext(uri_rdf_first,X3,X2)
      | ~ iext(uri_owl_oneOf,X0,X4)
      | X1 = X6
      | ~ icext(X0,X6)
      | ~ iext(uri_rdf_rest,X4,X3) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f496,plain,
    ( icext(uri_ex_c1,sK6(uri_ex_c4,uri_ex_c3))
    | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3))
    | uri_ex_w2 = sK6(uri_ex_c4,uri_ex_c3)
    | uri_ex_w3 = sK6(uri_ex_c4,uri_ex_c3) ),
    inference(resolution,[],[f493,f329]) ).

fof(f329,plain,
    ( icext(uri_ex_c2,sK6(uri_ex_c4,uri_ex_c3))
    | icext(uri_ex_c1,sK6(uri_ex_c4,uri_ex_c3))
    | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3)) ),
    inference(resolution,[],[f321,f258]) ).

fof(f321,plain,
    ! [X3,X4] :
      ( ~ sP0(uri_ex_c4,X3,X4)
      | icext(X4,sK6(uri_ex_c4,uri_ex_c3))
      | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3))
      | icext(X3,sK6(uri_ex_c4,uri_ex_c3)) ),
    inference(resolution,[],[f303,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1,X4] :
      ( ~ icext(X0,X4)
      | icext(X1,X4)
      | icext(X2,X4)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f303,plain,
    ( icext(uri_ex_c4,sK6(uri_ex_c4,uri_ex_c3))
    | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3)) ),
    inference(subsumption_resolution,[],[f299,f93]) ).

fof(f299,plain,
    ( icext(uri_ex_c4,sK6(uri_ex_c4,uri_ex_c3))
    | icext(uri_ex_c3,sK6(uri_ex_c4,uri_ex_c3))
    | iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) ),
    inference(resolution,[],[f143,f137]) ).

fof(f143,plain,
    ! [X4] :
      ( ~ ic(X4)
      | iext(uri_owl_equivalentClass,uri_ex_c3,X4)
      | icext(uri_ex_c3,sK6(X4,uri_ex_c3))
      | icext(X4,sK6(X4,uri_ex_c3)) ),
    inference(resolution,[],[f134,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | icext(X1,sK6(X0,X1))
      | iext(uri_owl_equivalentClass,X1,X0)
      | icext(X0,sK6(X0,X1))
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X1,X0)
        | ( ( ~ icext(X1,sK6(X0,X1))
            | ~ icext(X0,sK6(X0,X1)) )
          & ( icext(X1,sK6(X0,X1))
            | icext(X0,sK6(X0,X1)) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_owl_equivalentClass,X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ icext(X1,X2)
            | ~ icext(X0,X2) )
          & ( icext(X1,X2)
            | icext(X0,X2) ) )
     => ( ( ~ icext(X1,sK6(X0,X1))
          | ~ icext(X0,sK6(X0,X1)) )
        & ( icext(X1,sK6(X0,X1))
          | icext(X0,sK6(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X1,X0)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( ( icext(X0,X3)
                | ~ icext(X1,X3) )
              & ( icext(X1,X3)
                | ~ icext(X0,X3) ) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_owl_equivalentClass,X1,X0) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X1,X0)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_owl_equivalentClass,X1,X0) ) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_equivalentClass,X1,X0)
        | ? [X2] :
            ( ( ~ icext(X1,X2)
              | ~ icext(X0,X2) )
            & ( icext(X1,X2)
              | icext(X0,X2) ) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X2] :
              ( ( icext(X0,X2)
                | ~ icext(X1,X2) )
              & ( icext(X1,X2)
                | ~ icext(X0,X2) ) )
          & ic(X0)
          & ic(X1) )
        | ~ iext(uri_owl_equivalentClass,X1,X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X1,X0)
    <=> ( ! [X2] :
            ( icext(X0,X2)
          <=> icext(X1,X2) )
        & ic(X0)
        & ic(X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X6,X4] :
      ( iext(uri_owl_equivalentClass,X4,X6)
    <=> ( ic(X6)
        & ! [X0] :
            ( icext(X6,X0)
          <=> icext(X4,X0) )
        & ic(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f134,plain,
    ic(uri_ex_c3),
    inference(resolution,[],[f62,f111]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_oneOf,X1,X0)
      | ic(X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( ic(X1)
        & icext(uri_rdf_List,X0) )
      | ~ iext(uri_owl_oneOf,X1,X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( iext(uri_owl_oneOf,X1,X0)
     => ( ic(X1)
        & icext(uri_rdf_List,X0) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( iext(uri_owl_oneOf,X0,X1)
     => ( ic(X0)
        & icext(uri_rdf_List,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).

fof(f493,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c2,X0)
      | uri_ex_w3 = X0
      | uri_ex_w2 = X0 ),
    inference(resolution,[],[f492,f114]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_oneOf,X1,sK8)
      | uri_ex_w2 = X0
      | ~ icext(X1,X0)
      | uri_ex_w3 = X0 ),
    inference(resolution,[],[f324,f106]) ).

fof(f324,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdf_first,sK8,X2)
      | uri_ex_w3 = X1
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK8)
      | X1 = X2 ),
    inference(resolution,[],[f245,f104]) ).

fof(f245,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_first,sK11,X1)
      | ~ iext(uri_owl_oneOf,X0,sK8)
      | ~ icext(X0,X2)
      | X2 = X3
      | ~ iext(uri_rdf_first,sK8,X3)
      | X1 = X2 ),
    inference(resolution,[],[f177,f105]) ).

fof(f177,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ iext(uri_rdf_rest,X7,sK11)
      | ~ iext(uri_owl_oneOf,X9,X7)
      | X5 = X6
      | ~ iext(uri_rdf_first,sK11,X5)
      | ~ iext(uri_rdf_first,X7,X8)
      | ~ icext(X9,X6)
      | X6 = X8 ),
    inference(resolution,[],[f97,f118]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c3,sK6(X0,uri_ex_c3))
      | ~ icext(X0,sK6(X0,uri_ex_c3))
      | ~ ic(X0)
      | iext(uri_owl_equivalentClass,uri_ex_c3,X0) ),
    inference(resolution,[],[f134,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ ic(X1)
      | iext(uri_owl_equivalentClass,X1,X0)
      | ~ ic(X0)
      | ~ icext(X1,sK6(X0,X1))
      | ~ icext(X0,sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 17:33:52 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (9927)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50  % (9932)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (9943)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (9942)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51  % (9924)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (9935)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (9944)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (9931)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9936)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52  % (9922)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (9940)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (9929)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (9923)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (9926)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9925)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9930)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (9929)Instruction limit reached!
% 0.19/0.52  % (9929)------------------------------
% 0.19/0.52  % (9929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9929)Termination reason: Unknown
% 0.19/0.52  % (9929)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (9929)Memory used [KB]: 5500
% 0.19/0.52  % (9929)Time elapsed: 0.130 s
% 0.19/0.52  % (9929)Instructions burned: 7 (million)
% 0.19/0.52  % (9929)------------------------------
% 0.19/0.52  % (9929)------------------------------
% 0.19/0.52  % (9930)Instruction limit reached!
% 0.19/0.52  % (9930)------------------------------
% 0.19/0.52  % (9930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9930)Termination reason: Unknown
% 0.19/0.52  % (9930)Termination phase: Preprocessing 1
% 0.19/0.52  
% 0.19/0.52  % (9930)Memory used [KB]: 895
% 0.19/0.52  % (9930)Time elapsed: 0.003 s
% 0.19/0.52  % (9930)Instructions burned: 2 (million)
% 0.19/0.52  % (9930)------------------------------
% 0.19/0.52  % (9930)------------------------------
% 0.19/0.52  % (9950)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (9928)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (9945)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53  % (9941)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (9946)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (9923)Refutation not found, incomplete strategy% (9923)------------------------------
% 0.19/0.53  % (9923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9923)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (9923)Memory used [KB]: 5628
% 0.19/0.53  % (9923)Time elapsed: 0.142 s
% 0.19/0.53  % (9923)Instructions burned: 9 (million)
% 0.19/0.53  % (9923)------------------------------
% 0.19/0.53  % (9923)------------------------------
% 0.19/0.53  % (9934)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (9939)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (9948)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (9938)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (9933)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (9949)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (9951)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  % (9947)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (9937)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (9924)First to succeed.
% 0.19/0.56  TRYING [2]
% 1.72/0.57  TRYING [3]
% 1.72/0.58  TRYING [3]
% 1.72/0.58  % (9927)Instruction limit reached!
% 1.72/0.58  % (9927)------------------------------
% 1.72/0.58  % (9927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  % (9927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58  % (9927)Termination reason: Unknown
% 1.72/0.58  % (9927)Termination phase: Saturation
% 1.72/0.58  
% 1.72/0.58  % (9927)Memory used [KB]: 6140
% 1.72/0.58  % (9927)Time elapsed: 0.186 s
% 1.72/0.58  % (9927)Instructions burned: 50 (million)
% 1.72/0.58  % (9927)------------------------------
% 1.72/0.58  % (9927)------------------------------
% 1.72/0.58  % (9924)Refutation found. Thanks to Tanya!
% 1.72/0.58  % SZS status Theorem for theBenchmark
% 1.72/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58  % (9924)------------------------------
% 1.72/0.58  % (9924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  % (9924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58  % (9924)Termination reason: Refutation
% 1.72/0.58  
% 1.72/0.58  % (9924)Memory used [KB]: 1407
% 1.72/0.58  % (9924)Time elapsed: 0.157 s
% 1.72/0.58  % (9924)Instructions burned: 34 (million)
% 1.72/0.58  % (9924)------------------------------
% 1.72/0.58  % (9924)------------------------------
% 1.72/0.58  % (9921)Success in time 0.235 s
%------------------------------------------------------------------------------