iProver---3.9.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ITP021+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:47:57 PM UTC 2026

% Result   : Theorem 6.13s 2.81s
% Output   : CNFRefutation 6.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   18
% Syntax   : Number of formulae    : 3353 ( 328 unt;   0 def)
%            Number of atoms       : 16882 (3538 equ)
%            Maximal formula atoms :   11 (   5 avg)
%            Number of connectives : 20878 (7349   ~;13466   |;  28   &)
%                                         (   3 <=>;  29  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   : 3621 (   0 sgn3610   !;  11   ?;3508   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ne(bool),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',bool_ne) ).

fof(f3,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ne(arr(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',arr_ne) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).

fof(f5,axiom,
    ! [X0] :
      ( mem(X0,bool)
     => ! [X1] :
          ( mem(X1,bool)
         => ( ( p(X0)
            <=> p(X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',boolext) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,arr(X0,X1))
         => ( ! [X4] :
                ( mem(X4,X0)
               => ap(X2,X4) = ap(X3,X4) )
           => X2 = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',funcext) ).

fof(f9,axiom,
    mem(c_2Ebool_2ET,bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).

fof(f10,axiom,
    p(c_2Ebool_2ET),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).

fof(f11,axiom,
    ne(ty_2Eextreal_2Eextreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Eextreal_2Eextreal) ).

fof(f12,axiom,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__le) ).

fof(f13,axiom,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ECOND) ).

fof(f14,axiom,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).

fof(f15,axiom,
    mem(c_2Ebool_2EF,bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).

fof(f16,axiom,
    ~ p(c_2Ebool_2EF),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_false_p) ).

fof(f39,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( mem(X1,X0)
         => ! [X2] :
              ( mem(X2,X0)
             => ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2
                & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebool_2ECOND__CLAUSES) ).

fof(f43,axiom,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ! [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
             => ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) )
               => p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).

fof(f44,axiom,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
            | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).

fof(f45,axiom,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Eextreal_2Eextreal__max__def) ).

fof(f56,conjecture,
    ! [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
     => ! [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
         => ! [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
             => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
              <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).

fof(f57,negated_conjecture,
    ~ ! [X0] :
        ( mem(X0,ty_2Eextreal_2Eextreal)
       => ! [X1] :
            ( mem(X1,ty_2Eextreal_2Eextreal)
           => ! [X2] :
                ( mem(X2,ty_2Eextreal_2Eextreal)
               => ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                <=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                    & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f76,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
              & ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
              <~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X0,X1))
      | ! [X3] :
          ( ~ mem(X3,X0)
          | mem(ap(X2,X3),X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
          | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ) ),
    inference(flattening,[],[f104]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | ! [X2] :
              ( ~ mem(X2,ty_2Eextreal_2Eextreal)
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | ! [X2] :
              ( ~ mem(X2,ty_2Eextreal_2Eextreal)
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
              | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
              | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ),
    inference(flattening,[],[f106]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ! [X1] :
          ( ~ mem(X1,ty_2Eextreal_2Eextreal)
          | ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ ne(X1)
          | ne(arr(X0,X1)) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X0,X1))
      | ! [X3] :
          ( ~ mem(X3,arr(X0,X1))
          | ? [X4] :
              ( mem(X4,X0)
              & ap(X2,X4) != ap(X3,X4) )
          | X2 = X3 ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X0,X1))
      | ! [X3] :
          ( ~ mem(X3,arr(X0,X1))
          | ? [X4] :
              ( mem(X4,X0)
              & ap(X2,X4) != ap(X3,X4) )
          | X2 = X3 ) ),
    inference(flattening,[],[f111]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ! [X1] :
          ( ~ mem(X1,bool)
          | ( p(X0)
          <~> p(X1) )
          | X0 = X1 ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ! [X1] :
          ( ~ mem(X1,bool)
          | ( p(X0)
          <~> p(X1) )
          | X0 = X1 ) ),
    inference(flattening,[],[f113]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ mem(X1,X0)
          | ! [X2] :
              ( ~ mem(X2,X0)
              | ( ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2
                & ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 ) ) ) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ ne(X0)
      | mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f138,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
              & ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                | ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) )
              & ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f139,plain,
    ? [X0] :
      ( mem(X0,ty_2Eextreal_2Eextreal)
      & ? [X1] :
          ( mem(X1,ty_2Eextreal_2Eextreal)
          & ? [X2] :
              ( mem(X2,ty_2Eextreal_2Eextreal)
              & ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                | ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                  & p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) )
              & ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
                | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ( mem(sK16,ty_2Eextreal_2Eextreal)
    & mem(sK17,ty_2Eextreal_2Eextreal)
    & mem(sK18,ty_2Eextreal_2Eextreal)
    & ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
        & p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ) )
    & ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X0,sK16),skolemize(X1,sK17),skolemize(X2,sK18)],[f139]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X0,X1))
      | ! [X3] :
          ( ~ mem(X3,arr(X0,X1))
          | ( mem(sK19(X0,X2,X3),X0)
            & ap(X2,sK19(X0,X2,X3)) != ap(X3,sK19(X0,X2,X3)) )
          | X2 = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X4,sK19(X0,X2,X3))],[f112]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ mem(X0,bool)
      | ! [X1] :
          ( ~ mem(X1,bool)
          | ( ( p(X0)
              | p(X1) )
            & ( ~ p(X0)
              | ~ p(X1) ) )
          | X0 = X1 ) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f201,plain,
    mem(sK16,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f140]) ).

fof(f202,plain,
    mem(sK17,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f140]) ).

fof(f203,plain,
    mem(sK18,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f140]) ).

fof(f204,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f205,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f206,plain,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f356,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f359,plain,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    inference(cnf_transformation,[],[f12]) ).

fof(f360,plain,
    ne(ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f11]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),X1),X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f362,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    inference(cnf_transformation,[],[f14]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ~ ne(X1)
      | ne(arr(X0,X1)) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f366,plain,
    ne(bool),
    inference(cnf_transformation,[],[f1]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,arr(X0,X1))
      | mem(sK19(X0,X2,X3),X0)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f199]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,arr(X0,X1))
      | ap(X2,sK19(X0,X2,X3)) != ap(X3,sK19(X0,X2,X3))
      | X2 = X3 ),
    inference(cnf_transformation,[],[f199]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | p(X0)
      | p(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f200]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ mem(X0,bool)
      | ~ mem(X1,bool)
      | ~ p(X0)
      | ~ p(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f200]) ).

fof(f371,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2EF),X1),X2) = X2 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ mem(X1,X0)
      | ~ mem(X2,X0)
      | ap(ap(ap(c_2Ebool_2ECOND(X0),c_2Ebool_2ET),X1),X2) = X1 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ ne(X0)
      | mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0)))) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f374,plain,
    p(c_2Ebool_2ET),
    inference(cnf_transformation,[],[f10]) ).

fof(f375,plain,
    mem(c_2Ebool_2ET,bool),
    inference(cnf_transformation,[],[f9]) ).

fof(f376,plain,
    ~ p(c_2Ebool_2EF),
    inference(cnf_transformation,[],[f16]) ).

fof(f377,plain,
    mem(c_2Ebool_2EF,bool),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_49,negated_conjecture,
    ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_50,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_51,negated_conjecture,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_52,negated_conjecture,
    mem(sK18,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_53,negated_conjecture,
    mem(sK17,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    mem(sK16,ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(ap(X0,X3),X2)
      | ~ mem(X3,X1)
      | ~ mem(X0,arr(X1,X2)) ),
    inference(cnf_transformation,[],[f356]) ).

tcf(c_155,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f357]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(cnf_transformation,[],[f358]) ).

tcf(c_157,plain,
    mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),
    inference(cnf_transformation,[],[f359]) ).

tcf(c_158,plain,
    ne(ty_2Eextreal_2Eextreal),
    inference(cnf_transformation,[],[f360]) ).

tcf(c_159,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)),X0),X1) = ap(ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(cnf_transformation,[],[f361]) ).

tcf(c_160,plain,
    mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
    inference(cnf_transformation,[],[f362]) ).

tcf(c_161,plain,
    ! [X0: $i,X1: $i] :
      ( ne(arr(X1,X0))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f363]) ).

tcf(c_164,plain,
    ne(bool),
    inference(cnf_transformation,[],[f366]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ~ mem(X2,arr(X1,X3))
      | ~ mem(X0,arr(X1,X3))
      | ( ap(X0,sK19(X1,X0,X2)) != ap(X2,sK19(X1,X0,X2)) ) ),
    inference(cnf_transformation,[],[f368]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(sK19(X1,X0,X3),X1)
      | ( X0 = X3 )
      | ~ mem(X3,arr(X1,X2))
      | ~ mem(X0,arr(X1,X2)) ),
    inference(cnf_transformation,[],[f367]) ).

tcf(c_167,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ p(X1)
      | ~ p(X0)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f370]) ).

tcf(c_168,plain,
    ! [X0: $i,X1: $i] :
      ( p(X1)
      | p(X0)
      | ( X0 = X1 )
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(cnf_transformation,[],[f369]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X0),X2) = X0 )
      | ~ ne(X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f372]) ).

tcf(c_170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X0),X2) = X2 )
      | ~ ne(X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f371]) ).

tcf(c_171,plain,
    ! [X0: $i] :
      ( mem(c_2Ebool_2ECOND(X0),arr(bool,arr(X0,arr(X0,X0))))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f373]) ).

tcf(c_172,plain,
    p(c_2Ebool_2ET),
    inference(cnf_transformation,[],[f374]) ).

tcf(c_173,plain,
    mem(c_2Ebool_2ET,bool),
    inference(cnf_transformation,[],[f375]) ).

tcf(c_174,plain,
    ~ p(c_2Ebool_2EF),
    inference(cnf_transformation,[],[f376]) ).

tcf(c_175,plain,
    mem(c_2Ebool_2EF,bool),
    inference(cnf_transformation,[],[f377]) ).

tcf(c_3039,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_49]) ).

tcf(c_3041,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_155]) ).

tcf(c_3045,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3039,c_54]) ).

tcf(c_3078,plain,
    ! [X0: $i] :
      ( mem(ap(c_2Eextreal_2Eextreal__le,X0),arr(ty_2Eextreal_2Eextreal,bool))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_157,c_154]) ).

tcf(c_3079,plain,
    ! [X0: $i] :
      ( mem(ap(c_2Eextreal_2Eextreal__max,X0),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_160,c_154]) ).

tcf(c_3080,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(c_2Ebool_2ECOND(X1),X0),arr(X1,arr(X1,X1)))
      | ~ ne(X1)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_171,c_154]) ).

tcf(c_3095,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1),bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3078,c_154]) ).

tcf(c_3104,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3079,c_154]) ).

tcf(c_3132,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(X0)
      | ( X0 = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_175,c_168]) ).

tcf(c_3133,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(X2)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = X2 )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_168]) ).

tcf(c_3134,plain,
    ! [X0: $i] :
      ( p(X0)
      | ( X0 = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3132,c_174]) ).

tcf(c_3157,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_51,c_156]) ).

tcf(c_3158,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_50,c_156]) ).

tcf(c_3159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_155,c_156]) ).

tcf(c_3161,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3045,c_156]) ).

tcf(c_3169,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3158,c_54]) ).

tcf(c_3175,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3157,c_54]) ).

tcf(c_3181,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3161,c_54]) ).

tcf(c_3201,plain,
    ! [X0: $i] :
      ( ( X0 = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ p(X0)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_173,c_167]) ).

tcf(c_3203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = X2 )
      | ~ p(X2)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_3095,c_167]) ).

tcf(c_3204,plain,
    ! [X0: $i] :
      ( ( X0 = c_2Ebool_2ET )
      | ~ p(X0)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3201,c_172]) ).

tcf(c_3224,plain,
    ! [X0: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__le,X0),ty_2Eextreal_2Eextreal)
      | ( X0 = c_2Eextreal_2Eextreal__le )
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(superposition,[status(thm)],[c_157,c_166]) ).

tcf(c_3225,plain,
    ! [X0: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,X0),ty_2Eextreal_2Eextreal)
      | ( X0 = c_2Eextreal_2Eextreal__max )
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
    inference(superposition,[status(thm)],[c_160,c_166]) ).

tcf(c_3226,plain,
    ! [X0: $i,X1: $i] :
      ( mem(sK19(bool,c_2Ebool_2ECOND(X1),X0),bool)
      | ( c_2Ebool_2ECOND(X1) = X0 )
      | ~ ne(X1)
      | ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) ),
    inference(superposition,[status(thm)],[c_171,c_166]) ).

tcf(c_3227,plain,
    ! [X0: $i,X1: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0),ty_2Eextreal_2Eextreal)
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3078,c_166]) ).

tcf(c_3228,plain,
    ! [X0: $i,X1: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0),ty_2Eextreal_2Eextreal)
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3079,c_166]) ).

tcf(c_3260,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK18) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_169]) ).

tcf(c_3261,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK17) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_169]) ).

tcf(c_3262,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK16) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_169]) ).

tcf(c_3263,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__le) = X0 )
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(superposition,[status(thm)],[c_157,c_169]) ).

tcf(c_3264,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2ET),X0),c_2Eextreal_2Eextreal__max) = X0 )
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
    inference(superposition,[status(thm)],[c_160,c_169]) ).

tcf(c_3265,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X1,arr(X1,X1)))),c_2Ebool_2ET),X0),c_2Ebool_2ECOND(X1)) = X0 )
      | ~ ne(X1)
      | ~ ne(arr(bool,arr(X1,arr(X1,X1))))
      | ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) ),
    inference(superposition,[status(thm)],[c_171,c_169]) ).

tcf(c_3266,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2ET) = X0 )
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_173,c_169]) ).

tcf(c_3267,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2EF) = X0 )
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_175,c_169]) ).

tcf(c_3268,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2ET),X0),ap(c_2Eextreal_2Eextreal__le,X1)) = X0 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,bool))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3078,c_169]) ).

tcf(c_3269,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2ET),X0),ap(c_2Eextreal_2Eextreal__max,X1)) = X0 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3079,c_169]) ).

tcf(c_3270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = X2 )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_169]) ).

tcf(c_3271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = X2 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_169]) ).

tcf(c_3272,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2EF) = X0 )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3267,c_164]) ).

tcf(c_3275,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X0),c_2Ebool_2ET) = X0 )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3266,c_164]) ).

tcf(c_3278,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK16) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3262,c_158]) ).

tcf(c_3281,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK17) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3261,c_158]) ).

tcf(c_3284,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),sK18) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3260,c_158]) ).

tcf(c_3287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3271,c_158]) ).

tcf(c_3292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = X2 )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3270,c_164]) ).

tcf(c_3339,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK18) = sK18 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_170]) ).

tcf(c_3340,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK17) = sK17 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_170]) ).

tcf(c_3341,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK16) = sK16 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_170]) ).

tcf(c_3342,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__le) = c_2Eextreal_2Eextreal__le )
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(superposition,[status(thm)],[c_157,c_170]) ).

tcf(c_3343,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),c_2Ebool_2EF),X0),c_2Eextreal_2Eextreal__max) = c_2Eextreal_2Eextreal__max )
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
    inference(superposition,[status(thm)],[c_160,c_170]) ).

tcf(c_3344,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X1,arr(X1,X1)))),c_2Ebool_2EF),X0),c_2Ebool_2ECOND(X1)) = c_2Ebool_2ECOND(X1) )
      | ~ ne(X1)
      | ~ ne(arr(bool,arr(X1,arr(X1,X1))))
      | ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) ),
    inference(superposition,[status(thm)],[c_171,c_170]) ).

tcf(c_3345,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2ET) = c_2Ebool_2ET )
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_173,c_170]) ).

tcf(c_3346,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_175,c_170]) ).

tcf(c_3347,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,bool)),c_2Ebool_2EF),X0),ap(c_2Eextreal_2Eextreal__le,X1)) = ap(c_2Eextreal_2Eextreal__le,X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,bool))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3078,c_170]) ).

tcf(c_3348,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)),c_2Ebool_2EF),X0),ap(c_2Eextreal_2Eextreal__max,X1)) = ap(c_2Eextreal_2Eextreal__max,X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3079,c_170]) ).

tcf(c_3349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X2),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_170]) ).

tcf(c_3350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_170]) ).

tcf(c_3351,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3346,c_164]) ).

tcf(c_3354,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X0),c_2Ebool_2ET) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3345,c_164]) ).

tcf(c_3357,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK16) = sK16 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3341,c_158]) ).

tcf(c_3360,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK17) = sK17 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3340,c_158]) ).

tcf(c_3363,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),sK18) = sK18 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3339,c_158]) ).

tcf(c_3380,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3350,c_158]) ).

tcf(c_3385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),X2),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3349,c_164]) ).

tcf(c_3408,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(instantiation,[status(thm)],[c_155]) ).

tcf(c_3412,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(X0,sK18),X1)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,X1)) ),
    inference(instantiation,[status(thm)],[c_154]) ).

tcf(c_3414,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(X0,sK17),X1)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,X1)) ),
    inference(instantiation,[status(thm)],[c_154]) ).

tcf(c_3416,plain,
    ! [X0: $i,X1: $i] :
      ( mem(ap(X0,sK16),X1)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,X1)) ),
    inference(instantiation,[status(thm)],[c_154]) ).

tcf(c_3436,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3134]) ).

tcf(c_3449,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_3095,c_3204]) ).

tcf(c_3459,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2EF) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_173,c_3272]) ).

tcf(c_3460,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_175,c_3272]) ).

tcf(c_3461,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),c_2Ebool_2EF) = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3272]) ).

tcf(c_3476,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3169]) ).

tcf(c_3496,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3175]) ).

tcf(c_3518,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3181,c_156]) ).

tcf(c_3540,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),sK16) = sK18,
    inference(superposition,[status(thm)],[c_52,c_3278]) ).

tcf(c_3541,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK16) = sK17,
    inference(superposition,[status(thm)],[c_53,c_3278]) ).

tcf(c_3542,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK16) = sK16,
    inference(superposition,[status(thm)],[c_54,c_3278]) ).

tcf(c_3543,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3278]) ).

tcf(c_3568,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),sK17) = sK18,
    inference(superposition,[status(thm)],[c_52,c_3281]) ).

tcf(c_3569,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK17) = sK17,
    inference(superposition,[status(thm)],[c_53,c_3281]) ).

tcf(c_3570,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK17) = sK16,
    inference(superposition,[status(thm)],[c_54,c_3281]) ).

tcf(c_3571,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3281]) ).

tcf(c_3588,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_51,c_3159]) ).

tcf(c_3589,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_50,c_3159]) ).

tcf(c_3590,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3159]) ).

tcf(c_3591,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3159]) ).

tcf(c_3592,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3045,c_3159]) ).

tcf(c_3594,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3181,c_3159]) ).

tcf(c_3609,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3592,c_54]) ).

tcf(c_3631,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)),sK18),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_159]) ).

tcf(c_3632,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)),sK17),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),sK17) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_159]) ).

tcf(c_3633,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)),sK16),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),sK16) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_159]) ).

tcf(c_3634,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2) = ap(ap(c_2Eextreal_2Eextreal__max,X2),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_159]) ).

tcf(c_3665,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),c_2Ebool_2ET) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_173,c_3275]) ).

tcf(c_3666,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),c_2Ebool_2ET) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_175,c_3275]) ).

tcf(c_3667,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),c_2Ebool_2ET) = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3275]) ).

tcf(c_3676,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18)),sK18),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18),
    inference(superposition,[status(thm)],[c_52,c_3631]) ).

tcf(c_3677,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)),sK18),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_53,c_3631]) ).

tcf(c_3678,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18)),sK18),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_54,c_3631]) ).

tcf(c_3679,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3631]) ).

tcf(c_3704,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17)),sK17),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_52,c_3632]) ).

tcf(c_3705,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)),sK17),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK17),
    inference(superposition,[status(thm)],[c_53,c_3632]) ).

tcf(c_3706,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17)),sK17),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_54,c_3632]) ).

tcf(c_3707,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3632]) ).

tcf(c_3723,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3476,c_3159]) ).

tcf(c_3724,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_3476,c_156]) ).

tcf(c_3745,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),sK18) = sK18,
    inference(superposition,[status(thm)],[c_52,c_3284]) ).

tcf(c_3746,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK18) = sK17,
    inference(superposition,[status(thm)],[c_53,c_3284]) ).

tcf(c_3747,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK18) = sK16,
    inference(superposition,[status(thm)],[c_54,c_3284]) ).

tcf(c_3748,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3284]) ).

tcf(c_3806,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_173,c_3351]) ).

tcf(c_3807,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_175,c_3351]) ).

tcf(c_3808,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3351]) ).

tcf(c_3817,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)),sK16),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_52,c_3633]) ).

tcf(c_3818,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)),sK16),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_53,c_3633]) ).

tcf(c_3819,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16)),sK16),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK16),
    inference(superposition,[status(thm)],[c_54,c_3633]) ).

tcf(c_3820,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3633]) ).

tcf(c_3875,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3609,c_3159]) ).

tcf(c_3876,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3609,c_156]) ).

tcf(c_3900,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),sK16) = sK16,
    inference(superposition,[status(thm)],[c_52,c_3357]) ).

tcf(c_3901,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),sK16) = sK16,
    inference(superposition,[status(thm)],[c_53,c_3357]) ).

tcf(c_3902,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),sK16) = sK16,
    inference(superposition,[status(thm)],[c_54,c_3357]) ).

tcf(c_3903,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16) = sK16 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3357]) ).

tcf(c_3934,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3496,c_3159]) ).

tcf(c_3935,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_3496,c_156]) ).

tcf(c_3956,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2ET),c_2Ebool_2ET) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_173,c_3354]) ).

tcf(c_3957,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),c_2Ebool_2EF),c_2Ebool_2ET) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_175,c_3354]) ).

tcf(c_3958,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),c_2Ebool_2ET) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3354]) ).

tcf(c_3975,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),sK17) = sK17,
    inference(superposition,[status(thm)],[c_52,c_3360]) ).

tcf(c_3976,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),sK17) = sK17,
    inference(superposition,[status(thm)],[c_53,c_3360]) ).

tcf(c_3977,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),sK17) = sK17,
    inference(superposition,[status(thm)],[c_54,c_3360]) ).

tcf(c_3978,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) = sK17 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3360]) ).

tcf(c_4030,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),sK18) = sK18,
    inference(superposition,[status(thm)],[c_52,c_3363]) ).

tcf(c_4031,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),sK18) = sK18,
    inference(superposition,[status(thm)],[c_53,c_3363]) ).

tcf(c_4032,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),sK18) = sK18,
    inference(superposition,[status(thm)],[c_54,c_3363]) ).

tcf(c_4033,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = sK18 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3363]) ).

tcf(c_4047,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_3679]) ).

tcf(c_4048,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_3679]) ).

tcf(c_4049,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_3679]) ).

tcf(c_4050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)),sK18) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3679]) ).

tcf(c_4115,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18)),sK18),
    inference(superposition,[status(thm)],[c_52,c_4047]) ).

tcf(c_4116,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18),
    inference(superposition,[status(thm)],[c_53,c_4047]) ).

tcf(c_4117,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18),
    inference(superposition,[status(thm)],[c_54,c_4047]) ).

tcf(c_4118,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_4047]) ).

tcf(c_4146,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(superposition,[status(thm)],[c_3045,c_3518]) ).

tcf(c_4159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(sK19(X1,ap(c_2Ebool_2ECOND(X1),X2),X0),X1)
      | ( ap(c_2Ebool_2ECOND(X1),X2) = X0 )
      | ~ ne(X1)
      | ~ mem(X2,bool)
      | ~ mem(X0,arr(X1,arr(X1,X1))) ),
    inference(superposition,[status(thm)],[c_3080,c_166]) ).

tcf(c_4160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(ap(ap(c_2Ebool_2ECOND(X1),X2),X0),arr(X1,X1))
      | ~ ne(X1)
      | ~ mem(X2,bool)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_3080,c_154]) ).

tcf(c_4161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2EF),X0),ap(c_2Ebool_2ECOND(X1),X2)) = ap(c_2Ebool_2ECOND(X1),X2) )
      | ~ ne(X1)
      | ~ mem(X2,bool)
      | ~ ne(arr(X1,arr(X1,X1)))
      | ~ mem(X0,arr(X1,arr(X1,X1))) ),
    inference(superposition,[status(thm)],[c_3080,c_170]) ).

tcf(c_4162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,arr(X1,X1))),c_2Ebool_2ET),X0),ap(c_2Ebool_2ECOND(X1),X2)) = X0 )
      | ~ ne(X1)
      | ~ mem(X2,bool)
      | ~ ne(arr(X1,arr(X1,X1)))
      | ~ mem(X0,arr(X1,arr(X1,X1))) ),
    inference(superposition,[status(thm)],[c_3080,c_169]) ).

tcf(c_4203,plain,
    ! [X0: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),ty_2Eextreal_2Eextreal)
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_3080,c_3225]) ).

tcf(c_4204,plain,
    ! [X0: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)),ty_2Eextreal_2Eextreal)
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4203,c_158]) ).

tcf(c_4217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(sK19(X1,ap(ap(c_2Ebool_2ECOND(X1),X3),X2),X0),X1)
      | ( ap(ap(c_2Ebool_2ECOND(X1),X3),X2) = X0 )
      | ~ ne(X1)
      | ~ mem(X3,bool)
      | ~ mem(X2,X1)
      | ~ mem(X0,arr(X1,X1)) ),
    inference(superposition,[status(thm)],[c_4160,c_166]) ).

tcf(c_4218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(ap(ap(ap(c_2Ebool_2ECOND(X1),X3),X0),X2),X1)
      | ~ ne(X1)
      | ~ mem(X3,bool)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_4160,c_154]) ).

tcf(c_4219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,X1)),c_2Ebool_2EF),X0),ap(ap(c_2Ebool_2ECOND(X1),X3),X2)) = ap(ap(c_2Ebool_2ECOND(X1),X3),X2) )
      | ~ ne(X1)
      | ~ mem(X3,bool)
      | ~ mem(X2,X1)
      | ~ ne(arr(X1,X1))
      | ~ mem(X0,arr(X1,X1)) ),
    inference(superposition,[status(thm)],[c_4160,c_170]) ).

tcf(c_4220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,X1)),c_2Ebool_2ET),X0),ap(ap(c_2Ebool_2ECOND(X1),X3),X2)) = X0 )
      | ~ ne(X1)
      | ~ mem(X3,bool)
      | ~ mem(X2,X1)
      | ~ ne(arr(X1,X1))
      | ~ mem(X0,arr(X1,X1)) ),
    inference(superposition,[status(thm)],[c_4160,c_169]) ).

tcf(c_4254,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),sK18) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_4047]) ).

tcf(c_4255,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3679]) ).

tcf(c_4256,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = sK18 )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3363]) ).

tcf(c_4257,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) = sK17 )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3360]) ).

tcf(c_4258,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16) = sK16 )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3357]) ).

tcf(c_4259,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16)),sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3633]) ).

tcf(c_4260,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3284]) ).

tcf(c_4261,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17)),sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3632]) ).

tcf(c_4262,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18)),sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3631]) ).

tcf(c_4263,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1) = ap(ap(c_2Eextreal_2Eextreal__max,X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_159]) ).

tcf(c_4264,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3281]) ).

tcf(c_4265,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3278]) ).

tcf(c_4266,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_170]) ).

tcf(c_4267,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = X1 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_169]) ).

tcf(c_4286,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4267,c_158]) ).

tcf(c_4291,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X1),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4266,c_158]) ).

tcf(c_4332,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(instantiation,[status(thm)],[c_3408]) ).

tcf(c_4404,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2EF )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_49]) ).

tcf(c_4405,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3518]) ).

tcf(c_4406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3159]) ).

tcf(c_4407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_3436,c_156]) ).

tcf(c_4408,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3175]) ).

tcf(c_4409,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3169]) ).

tcf(c_4432,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4404,c_54]) ).

tcf(c_4450,plain,
    ( mem(ap(c_2Eextreal_2Eextreal__le,sK18),arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(instantiation,[status(thm)],[c_3412]) ).

tcf(c_4460,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_51,c_3449]) ).

tcf(c_4461,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_50,c_3449]) ).

tcf(c_4462,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3449]) ).

tcf(c_4463,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3449]) ).

tcf(c_4464,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3449]) ).

tcf(c_4465,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3045,c_3449]) ).

tcf(c_4466,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3041,c_3449]) ).

tcf(c_4467,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3609,c_3449]) ).

tcf(c_4468,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3181,c_3449]) ).

tcf(c_4469,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3496,c_3449]) ).

tcf(c_4470,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3476,c_3449]) ).

tcf(c_4485,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4461,c_54]) ).

tcf(c_4489,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4460,c_54]) ).

tcf(c_4503,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4465,c_54]) ).

tcf(c_4526,plain,
    ( mem(ap(c_2Eextreal_2Eextreal__le,sK17),arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(instantiation,[status(thm)],[c_3414]) ).

tcf(c_4528,plain,
    ( mem(ap(c_2Eextreal_2Eextreal__le,sK16),arr(ty_2Eextreal_2Eextreal,bool))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(instantiation,[status(thm)],[c_3416]) ).

tcf(c_4600,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_52,c_4466]) ).

tcf(c_4601,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_53,c_4466]) ).

tcf(c_4602,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_54,c_4466]) ).

tcf(c_4603,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_4466]) ).

tcf(c_4604,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_4466]) ).

tcf(c_4611,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18),
    inference(demodulation,[status(thm)],[c_3676,c_4600]) ).

tcf(c_4612,plain,
    ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18) = sK18,
    inference(light_normalisation,[status(thm)],[c_4611,c_3745]) ).

tcf(c_4614,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK17),
    inference(demodulation,[status(thm)],[c_3705,c_4601]) ).

tcf(c_4615,plain,
    ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK17) = sK17,
    inference(light_normalisation,[status(thm)],[c_4614,c_3569]) ).

tcf(c_4616,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK16),
    inference(demodulation,[status(thm)],[c_3819,c_4602]) ).

tcf(c_4617,plain,
    ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK16) = sK16,
    inference(light_normalisation,[status(thm)],[c_4616,c_3542]) ).

tcf(c_4623,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4600,c_3518]) ).

tcf(c_4624,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4600,c_3159]) ).

tcf(c_4629,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4624,c_172,c_52]) ).

tcf(c_4633,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4623,c_172,c_52]) ).

tcf(c_4645,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4601,c_3518]) ).

tcf(c_4646,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4601,c_3159]) ).

tcf(c_4651,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4646,c_172,c_53]) ).

tcf(c_4655,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4645,c_172,c_53]) ).

tcf(c_4664,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4602,c_3518]) ).

tcf(c_4665,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4602,c_3159]) ).

tcf(c_4670,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4665,c_172,c_54]) ).

tcf(c_4674,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4664,c_4602]) ).

tcf(c_4685,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3449]) ).

tcf(c_4686,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3518]) ).

tcf(c_4687,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3159]) ).

tcf(c_4688,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_4629,c_156]) ).

tcf(c_4689,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3175]) ).

tcf(c_4690,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3169]) ).

tcf(c_4691,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3449]) ).

tcf(c_4692,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3518]) ).

tcf(c_4693,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3159]) ).

tcf(c_4694,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4629,c_156]) ).

tcf(c_4695,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_4629]) ).

tcf(c_4697,plain,
    ( p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4695,c_4600]) ).

tcf(c_4698,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4691,c_52]) ).

tcf(c_4702,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4685,c_52]) ).

tcf(c_4706,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4689,c_52]) ).

tcf(c_4710,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4693,c_52]) ).

tcf(c_4716,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4687,c_52]) ).

tcf(c_4722,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4694,c_52]) ).

tcf(c_4728,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4688,c_52]) ).

tcf(c_4734,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4690,c_52]) ).

tcf(c_4739,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4692,c_52]) ).

tcf(c_4746,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4686,c_52]) ).

tcf(c_4783,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3449]) ).

tcf(c_4784,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3518]) ).

tcf(c_4785,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3159]) ).

tcf(c_4786,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_4651,c_156]) ).

tcf(c_4787,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3175]) ).

tcf(c_4788,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3169]) ).

tcf(c_4789,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3449]) ).

tcf(c_4790,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3518]) ).

tcf(c_4791,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3159]) ).

tcf(c_4792,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4651,c_156]) ).

tcf(c_4793,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_4651]) ).

tcf(c_4795,plain,
    ( p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4793,c_4601]) ).

tcf(c_4796,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4789,c_53]) ).

tcf(c_4800,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4783,c_53]) ).

tcf(c_4804,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4788,c_53]) ).

tcf(c_4808,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4791,c_53]) ).

tcf(c_4814,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4785,c_53]) ).

tcf(c_4820,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4792,c_53]) ).

tcf(c_4826,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4786,c_53]) ).

tcf(c_4833,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4790,c_53]) ).

tcf(c_4840,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4784,c_53]) ).

tcf(c_4874,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3449]) ).

tcf(c_4876,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3159]) ).

tcf(c_4877,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_4670,c_156]) ).

tcf(c_4878,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3175]) ).

tcf(c_4881,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3449]) ).

tcf(c_4882,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3518]) ).

tcf(c_4883,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3159]) ).

tcf(c_4884,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4670,c_156]) ).

tcf(c_4885,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_4670]) ).

tcf(c_4887,plain,
    ( p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4885,c_4602]) ).

tcf(c_4888,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4881,c_54]) ).

tcf(c_4892,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4874,c_54]) ).

tcf(c_4896,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4883,c_54]) ).

tcf(c_4902,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4876,c_54]) ).

tcf(c_4908,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4884,c_54]) ).

tcf(c_4914,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4877,c_54]) ).

tcf(c_4920,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4878,c_4602]) ).

tcf(c_4921,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_4882,c_4602]) ).

tcf(c_4933,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3449]) ).

tcf(c_4934,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3518]) ).

tcf(c_4935,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3159]) ).

tcf(c_4936,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_4698,c_156]) ).

tcf(c_4937,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3175]) ).

tcf(c_4938,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3169]) ).

tcf(c_4939,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4933,c_52]) ).

tcf(c_4943,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4937,c_52]) ).

tcf(c_4947,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4935,c_52]) ).

tcf(c_4953,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4936,c_52]) ).

tcf(c_4959,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4938,c_52]) ).

tcf(c_4964,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4934,c_52]) ).

tcf(c_4980,plain,
    ! [X0: $i] :
      ( ( X0 = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ p(X0)
      | ~ mem(c_2Ebool_2ET,bool)
      | ~ mem(X0,bool) ),
    inference(instantiation,[status(thm)],[c_167]) ).

tcf(c_4991,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4702,c_3518]) ).

tcf(c_4992,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4702,c_3159]) ).

tcf(c_4993,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4702,c_156]) ).

tcf(c_4994,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4992,c_52]) ).

tcf(c_5000,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4993,c_52]) ).

tcf(c_5006,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4991,c_52]) ).

tcf(c_5039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X2),X0) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3449]) ).

tcf(c_5041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X3))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3159]) ).

tcf(c_5046,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X2) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3449]) ).

tcf(c_5047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3518]) ).

tcf(c_5048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3159]) ).

tcf(c_5049,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X3))
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_3590,c_156]) ).

tcf(c_5050,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3175]) ).

tcf(c_5051,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3169]) ).

tcf(c_5053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3449]) ).

tcf(c_5054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3518]) ).

tcf(c_5055,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X3))
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3159]) ).

tcf(c_5056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X3),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X3))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_3590,c_156]) ).

tcf(c_5253,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_3449]) ).

tcf(c_5254,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_3518]) ).

tcf(c_5255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_3159]) ).

tcf(c_5256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X2),X1) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4462,c_156]) ).

tcf(c_5290,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3449]) ).

tcf(c_5291,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3518]) ).

tcf(c_5292,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3159]) ).

tcf(c_5293,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_4796,c_156]) ).

tcf(c_5294,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3175]) ).

tcf(c_5295,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3169]) ).

tcf(c_5296,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5290,c_53]) ).

tcf(c_5300,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5295,c_53]) ).

tcf(c_5304,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5292,c_53]) ).

tcf(c_5310,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5293,c_53]) ).

tcf(c_5317,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5291,c_53]) ).

tcf(c_5345,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4800,c_3518]) ).

tcf(c_5346,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4800,c_3159]) ).

tcf(c_5347,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4800,c_156]) ).

tcf(c_5348,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5346,c_53]) ).

tcf(c_5354,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5347,c_53]) ).

tcf(c_5360,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5345,c_53]) ).

tcf(c_5379,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_3449]) ).

tcf(c_5380,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_3518]) ).

tcf(c_5381,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_3159]) ).

tcf(c_5382,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_4888,c_156]) ).

tcf(c_5383,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_3175]) ).

tcf(c_5384,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_3169]) ).

tcf(c_5385,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5379,c_54]) ).

tcf(c_5389,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5381,c_54]) ).

tcf(c_5395,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_54]) ).

tcf(c_5401,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_5384,c_4602]) ).

tcf(c_5402,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_5383,c_4602]) ).

tcf(c_5403,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5380,c_54]) ).

tcf(c_5425,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4892,c_3518]) ).

tcf(c_5426,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4892,c_3159]) ).

tcf(c_5427,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4892,c_156]) ).

tcf(c_5428,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5426,c_54]) ).

tcf(c_5434,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5427,c_54]) ).

tcf(c_5440,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_5425,c_4602]) ).

tcf(c_5441,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5440,c_172,c_54]) ).

tcf(c_5459,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_53,c_4939]) ).

tcf(c_5460,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_54,c_4939]) ).

tcf(c_5461,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_4939]) ).

tcf(c_5462,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_4939]) ).

tcf(c_5494,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5459,c_3518]) ).

tcf(c_5495,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5459,c_3159]) ).

tcf(c_5496,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_5459,c_156]) ).

tcf(c_5505,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) ) ),
    inference(superposition,[status(thm)],[c_5459,c_3704]) ).

tcf(c_5506,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) = sK17 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_5505,c_3746]) ).

tcf(c_5509,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5495,c_172,c_52,c_53]) ).

tcf(c_5514,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5496,c_172,c_52,c_53]) ).

tcf(c_5519,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5494,c_172,c_52,c_53]) ).

tcf(c_5533,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) ) ),
    inference(superposition,[status(thm)],[c_5460,c_3817]) ).

tcf(c_5539,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5460,c_3518]) ).

tcf(c_5540,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5460,c_3159]) ).

tcf(c_5541,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_5460,c_156]) ).

tcf(c_5550,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) = sK16 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_5533,c_3747]) ).

tcf(c_5553,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5540,c_172,c_52,c_54]) ).

tcf(c_5558,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5541,c_172,c_52,c_54]) ).

tcf(c_5563,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_5539,c_4602]) ).

tcf(c_5564,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5563,c_172,c_52,c_54]) ).

tcf(c_5595,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_54,c_5296]) ).

tcf(c_5596,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_5296]) ).

tcf(c_5597,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_5296]) ).

tcf(c_5614,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) ) ),
    inference(superposition,[status(thm)],[c_5595,c_3818]) ).

tcf(c_5620,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5595,c_3518]) ).

tcf(c_5621,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5595,c_3159]) ).

tcf(c_5622,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_5595,c_156]) ).

tcf(c_5631,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) = sK16 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_5614,c_3570]) ).

tcf(c_5634,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5621,c_172,c_54,c_53]) ).

tcf(c_5639,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5622,c_172,c_54,c_53]) ).

tcf(c_5644,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_5620,c_4602]) ).

tcf(c_5645,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5644,c_172,c_54,c_53]) ).

tcf(c_5662,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_5385]) ).

tcf(c_5663,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_5385]) ).

tcf(c_5695,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4706,c_3159]) ).

tcf(c_5696,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_4706,c_156]) ).

tcf(c_5697,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5695,c_52]) ).

tcf(c_5703,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5696,c_52]) ).

tcf(c_5732,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4804,c_3159]) ).

tcf(c_5733,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_4804,c_156]) ).

tcf(c_5734,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5732,c_53]) ).

tcf(c_5740,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5733,c_53]) ).

tcf(c_5756,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_5385]) ).

tcf(c_5757,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_5296]) ).

tcf(c_5758,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_4939]) ).

tcf(c_5759,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_4466]) ).

tcf(c_5760,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_4047]) ).

tcf(c_5761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)),sK18) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3679]) ).

tcf(c_5762,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = sK18 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3363]) ).

tcf(c_5763,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) = sK17 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3360]) ).

tcf(c_5764,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16) = sK16 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3357]) ).

tcf(c_5765,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16)),sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3633]) ).

tcf(c_5766,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3284]) ).

tcf(c_5767,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17)),sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3632]) ).

tcf(c_5768,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18)),sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3631]) ).

tcf(c_5769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2) = ap(ap(c_2Eextreal_2Eextreal__max,X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_159]) ).

tcf(c_5770,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3281]) ).

tcf(c_5771,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3278]) ).

tcf(c_5772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_170]) ).

tcf(c_5773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = X2 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_169]) ).

tcf(c_5802,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5773,c_158]) ).

tcf(c_5823,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5772,c_158]) ).

tcf(c_5921,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_5385]) ).

tcf(c_5922,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_5296]) ).

tcf(c_5923,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_4939]) ).

tcf(c_5924,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_4466]) ).

tcf(c_5925,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_4047]) ).

tcf(c_5926,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)),sK18) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3679]) ).

tcf(c_5927,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = sK18 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3363]) ).

tcf(c_5928,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) = sK17 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3360]) ).

tcf(c_5929,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16) = sK16 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3357]) ).

tcf(c_5930,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16)),sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3633]) ).

tcf(c_5931,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3284]) ).

tcf(c_5932,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17)),sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3632]) ).

tcf(c_5933,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18)),sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3631]) ).

tcf(c_5934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2) = ap(ap(c_2Eextreal_2Eextreal__max,X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_159]) ).

tcf(c_5935,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3281]) ).

tcf(c_5936,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3278]) ).

tcf(c_5937,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_170]) ).

tcf(c_5938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = X2 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_169]) ).

tcf(c_5967,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5938,c_158]) ).

tcf(c_5988,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X2),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5937,c_158]) ).

tcf(c_6160,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_3808]) ).

tcf(c_6161,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_3808]) ).

tcf(c_6162,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_3808]) ).

tcf(c_6163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3808]) ).

tcf(c_6164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3808]) ).

tcf(c_6165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3808]) ).

tcf(c_6166,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3808]) ).

tcf(c_6212,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_52,c_6160]) ).

tcf(c_6213,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_53,c_6160]) ).

tcf(c_6214,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_54,c_6160]) ).

tcf(c_6215,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_6160]) ).

tcf(c_6216,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_6160]) ).

tcf(c_6217,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_6160]) ).

tcf(c_6218,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_6160]) ).

tcf(c_6265,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_52,c_6161]) ).

tcf(c_6266,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_53,c_6161]) ).

tcf(c_6267,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_54,c_6161]) ).

tcf(c_6268,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_6161]) ).

tcf(c_6269,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_6161]) ).

tcf(c_6270,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_6161]) ).

tcf(c_6271,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_6161]) ).

tcf(c_6302,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_52,c_6162]) ).

tcf(c_6303,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_53,c_6162]) ).

tcf(c_6304,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16)),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_54,c_6162]) ).

tcf(c_6305,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_6162]) ).

tcf(c_6306,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_6162]) ).

tcf(c_6307,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_6162]) ).

tcf(c_6308,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_6162]) ).

tcf(c_6357,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_3594]) ).

tcf(c_6358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3594]) ).

tcf(c_6359,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_3594]) ).

tcf(c_6360,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_3594]) ).

tcf(c_6361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_3594]) ).

tcf(c_6364,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4892,c_3594]) ).

tcf(c_6366,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_3594]) ).

tcf(c_6367,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_3594]) ).

tcf(c_6368,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_3594]) ).

tcf(c_6369,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_3594]) ).

tcf(c_6371,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_3594]) ).

tcf(c_6374,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5595,c_3594]) ).

tcf(c_6375,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5460,c_3594]) ).

tcf(c_6377,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_6371,c_4602]) ).

tcf(c_6389,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6375,c_172,c_52]) ).

tcf(c_6397,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6374,c_172,c_53]) ).

tcf(c_6407,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6359,c_54]) ).

tcf(c_6417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6361,c_54]) ).

tcf(c_6428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6358,c_54]) ).

tcf(c_6515,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18),bool) ),
    inference(superposition,[status(thm)],[c_3677,c_4218]) ).

tcf(c_6516,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18),bool) ),
    inference(superposition,[status(thm)],[c_3678,c_4218]) ).

tcf(c_6517,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17),bool) ),
    inference(superposition,[status(thm)],[c_3704,c_4218]) ).

tcf(c_6518,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17),bool) ),
    inference(superposition,[status(thm)],[c_3706,c_4218]) ).

tcf(c_6524,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16),bool) ),
    inference(superposition,[status(thm)],[c_3817,c_4218]) ).

tcf(c_6525,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16),bool) ),
    inference(superposition,[status(thm)],[c_3818,c_4218]) ).

tcf(c_6537,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18),ty_2Eextreal_2Eextreal)
    | ~ ne(ty_2Eextreal_2Eextreal)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18),bool) ),
    inference(superposition,[status(thm)],[c_4116,c_4218]) ).

tcf(c_6544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2ET) = c_2Ebool_2ET )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3354]) ).

tcf(c_6545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3351]) ).

tcf(c_6546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2ET) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3275]) ).

tcf(c_6547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2EF) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3272]) ).

tcf(c_6548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2) = c_2Ebool_2ET )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_4218,c_3204]) ).

tcf(c_6549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1))
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) = c_2Ebool_2EF )
      | ~ ne(bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3134]) ).

tcf(c_6550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2) = X3 )
      | ~ ne(bool)
      | ~ p(X3)
      | ~ mem(X3,bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_4218,c_167]) ).

tcf(c_6551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(X3)
      | p(ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1))
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) = X3 )
      | ~ ne(bool)
      | ~ mem(X3,bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_168]) ).

tcf(c_6552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( mem(sK19(X1,ap(ap(ap(c_2Ebool_2ECOND(arr(X1,X2)),X5),X0),X3),X4),X1)
      | ( ap(ap(ap(c_2Ebool_2ECOND(arr(X1,X2)),X5),X0),X3) = X4 )
      | ~ mem(X5,bool)
      | ~ ne(arr(X1,X2))
      | ~ mem(X4,arr(X1,X2))
      | ~ mem(X3,arr(X1,X2))
      | ~ mem(X0,arr(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4218,c_166]) ).

tcf(c_6553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( mem(ap(ap(ap(ap(c_2Ebool_2ECOND(arr(X1,X2)),X5),X0),X3),X4),X2)
      | ~ mem(X5,bool)
      | ~ mem(X4,X1)
      | ~ ne(arr(X1,X2))
      | ~ mem(X3,arr(X1,X2))
      | ~ mem(X0,arr(X1,X2)) ),
    inference(superposition,[status(thm)],[c_4218,c_154]) ).

tcf(c_6554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_6162]) ).

tcf(c_6555,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_6161]) ).

tcf(c_6556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_6160]) ).

tcf(c_6557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3808]) ).

tcf(c_6558,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_5385]) ).

tcf(c_6559,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_5296]) ).

tcf(c_6560,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_4939]) ).

tcf(c_6561,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_4466]) ).

tcf(c_6562,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_4047]) ).

tcf(c_6563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3679]) ).

tcf(c_6564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = sK18 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3363]) ).

tcf(c_6565,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = sK17 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3360]) ).

tcf(c_6566,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = sK16 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3357]) ).

tcf(c_6567,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16)),sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3633]) ).

tcf(c_6568,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3284]) ).

tcf(c_6569,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17)),sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3632]) ).

tcf(c_6570,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18)),sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3631]) ).

tcf(c_6571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X3),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3) = ap(ap(c_2Eextreal_2Eextreal__max,X3),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_159]) ).

tcf(c_6572,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3281]) ).

tcf(c_6573,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3278]) ).

tcf(c_6574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X3),ap(ap(ap(c_2Ebool_2ECOND(X1),X4),X0),X2)) = ap(ap(ap(c_2Ebool_2ECOND(X1),X4),X0),X2) )
      | ~ ne(X1)
      | ~ mem(X4,bool)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_4218,c_170]) ).

tcf(c_6575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X3),ap(ap(ap(c_2Ebool_2ECOND(X1),X4),X0),X2)) = X3 )
      | ~ ne(X1)
      | ~ mem(X4,bool)
      | ~ mem(X3,X1)
      | ~ mem(X2,X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_4218,c_169]) ).

tcf(c_6576,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),X2),X0),X1)),ty_2Eextreal_2Eextreal)
      | ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))),X2),X0),X1) = c_2Eextreal_2Eextreal__le )
      | ~ mem(X2,bool)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
      | ~ mem(X1,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))) ),
    inference(superposition,[status(thm)],[c_4218,c_3224]) ).

tcf(c_6577,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),X2),X0),X1)),ty_2Eextreal_2Eextreal)
      | ( ap(ap(ap(c_2Ebool_2ECOND(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),X2),X0),X1) = c_2Eextreal_2Eextreal__max )
      | ~ mem(X2,bool)
      | ~ ne(arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
      | ~ mem(X1,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))) ),
    inference(superposition,[status(thm)],[c_4218,c_3225]) ).

tcf(c_6578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(sK19(bool,c_2Ebool_2ECOND(X1),ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X1,arr(X1,X1)))),X3),X0),X2)),bool)
      | ( ap(ap(ap(c_2Ebool_2ECOND(arr(bool,arr(X1,arr(X1,X1)))),X3),X0),X2) = c_2Ebool_2ECOND(X1) )
      | ~ ne(X1)
      | ~ mem(X3,bool)
      | ~ ne(arr(bool,arr(X1,arr(X1,X1))))
      | ~ mem(X2,arr(bool,arr(X1,arr(X1,X1))))
      | ~ mem(X0,arr(bool,arr(X1,arr(X1,X1)))) ),
    inference(superposition,[status(thm)],[c_4218,c_3226]) ).

tcf(c_6579,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6525,c_158,c_54,c_53]) ).

tcf(c_6582,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6524,c_158,c_52,c_54]) ).

tcf(c_6585,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6518,c_158,c_54,c_53]) ).

tcf(c_6588,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6517,c_158,c_52,c_53]) ).

tcf(c_6591,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6516,c_158,c_52,c_54]) ).

tcf(c_6594,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6515,c_158,c_52,c_53]) ).

tcf(c_6597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = sK16 )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6566,c_158]) ).

tcf(c_6602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = sK17 )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6565,c_158]) ).

tcf(c_6607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = sK18 )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6564,c_158]) ).

tcf(c_6612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6545,c_164]) ).

tcf(c_6617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2ET) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6544,c_164]) ).

tcf(c_6622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1))
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6549,c_164]) ).

tcf(c_6628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6548,c_164]) ).

tcf(c_6640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6561,c_158]) ).

tcf(c_6645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6556,c_158]) ).

tcf(c_6650,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6555,c_158]) ).

tcf(c_6655,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6554,c_158]) ).

tcf(c_6660,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18),bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6537,c_158,c_52]) ).

tcf(c_6670,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6573,c_158]) ).

tcf(c_6675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6572,c_158]) ).

tcf(c_6680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6568,c_158]) ).

tcf(c_6685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2EF) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6547,c_164]) ).

tcf(c_6690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),c_2Ebool_2ET) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6546,c_164]) ).

tcf(c_6695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6557,c_158]) ).

tcf(c_6701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( p(X3)
      | p(ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1))
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) = X3 )
      | ~ mem(X3,bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6551,c_164]) ).

tcf(c_6709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2) = X3 )
      | ~ p(X3)
      | ~ mem(X3,bool)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool)
      | ~ p(ap(ap(ap(c_2Ebool_2ECOND(bool),X0),X1),X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6550,c_164]) ).

tcf(c_6723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6560,c_158]) ).

tcf(c_6729,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6559,c_158]) ).

tcf(c_6735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6558,c_158]) ).

tcf(c_6741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18)),sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6570,c_158]) ).

tcf(c_6746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17)),sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6569,c_158]) ).

tcf(c_6751,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16)),sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6567,c_158]) ).

tcf(c_6775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X3),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3) = ap(ap(c_2Eextreal_2Eextreal__max,X3),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6571,c_158]) ).

tcf(c_6781,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))),sK18) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6562,c_158]) ).

tcf(c_6786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)),sK18) )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6563,c_158]) ).

tcf(c_6863,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16),bool)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK18),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3416]) ).

tcf(c_6864,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17),bool)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK18),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3414]) ).

tcf(c_6924,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16),bool)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK17),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3416]) ).

tcf(c_6926,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18),bool)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK17),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3412]) ).

tcf(c_6936,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_5514]) ).

tcf(c_6937,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_5514]) ).

tcf(c_6938,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_5514]) ).

tcf(c_6939,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_5514]) ).

tcf(c_6940,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_5514]) ).

tcf(c_6942,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3041,c_5514]) ).

tcf(c_6945,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4702,c_5514]) ).

tcf(c_6948,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_5514]) ).

tcf(c_6949,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_5514]) ).

tcf(c_6950,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_5514]) ).

tcf(c_6951,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3496,c_5514]) ).

tcf(c_6952,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3476,c_5514]) ).

tcf(c_6953,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4706,c_5514]) ).

tcf(c_6955,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6942,c_52]) ).

tcf(c_6962,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6950,c_52,c_54]) ).

tcf(c_6966,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_6948,c_4601]) ).

tcf(c_6968,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6949,c_52,c_54]) ).

tcf(c_6972,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6938,c_52]) ).

tcf(c_6983,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6940,c_52]) ).

tcf(c_6990,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6937,c_52]) ).

tcf(c_6997,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6952,c_52]) ).

tcf(c_7025,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_5558]) ).

tcf(c_7026,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_5558]) ).

tcf(c_7027,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_5558]) ).

tcf(c_7028,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_5558]) ).

tcf(c_7029,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_5558]) ).

tcf(c_7031,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3041,c_5558]) ).

tcf(c_7034,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4702,c_5558]) ).

tcf(c_7036,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_5558]) ).

tcf(c_7037,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_5558]) ).

tcf(c_7039,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_5558]) ).

tcf(c_7044,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7031,c_52]) ).

tcf(c_7051,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_7039,c_4602]) ).

tcf(c_7052,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7037,c_52,c_53]) ).

tcf(c_7057,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7036,c_52,c_53]) ).

tcf(c_7061,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7027,c_52]) ).

tcf(c_7067,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7029,c_52]) ).

tcf(c_7074,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7026,c_52]) ).

tcf(c_7100,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6955,c_3518]) ).

tcf(c_7101,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6955,c_3159]) ).

tcf(c_7102,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_6955,c_156]) ).

tcf(c_7112,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7044,c_3518]) ).

tcf(c_7113,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7044,c_3159]) ).

tcf(c_7114,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_7044,c_156]) ).

tcf(c_7115,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7044,c_3594]) ).

tcf(c_7121,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6579,c_54,c_53,c_157,c_4526,c_6579,c_6924]) ).

tcf(c_7124,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7121,c_6162]) ).

tcf(c_7125,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7121,c_6161]) ).

tcf(c_7126,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7121,c_6160]) ).

tcf(c_7127,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_3808]) ).

tcf(c_7128,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_5385]) ).

tcf(c_7129,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_5296]) ).

tcf(c_7130,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_4939]) ).

tcf(c_7131,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7121,c_4466]) ).

tcf(c_7132,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),sK18),
    inference(superposition,[status(thm)],[c_7121,c_4047]) ).

tcf(c_7133,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_3679]) ).

tcf(c_7134,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7121,c_3363]) ).

tcf(c_7135,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7121,c_3360]) ).

tcf(c_7136,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7121,c_3357]) ).

tcf(c_7137,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16),
    inference(superposition,[status(thm)],[c_7121,c_3633]) ).

tcf(c_7138,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_3284]) ).

tcf(c_7139,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17),
    inference(superposition,[status(thm)],[c_7121,c_3632]) ).

tcf(c_7140,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18),
    inference(superposition,[status(thm)],[c_7121,c_3631]) ).

tcf(c_7141,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_159]) ).

tcf(c_7142,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_3281]) ).

tcf(c_7143,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_3278]) ).

tcf(c_7144,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_170]) ).

tcf(c_7145,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_169]) ).

tcf(c_7146,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7145,c_158]) ).

tcf(c_7157,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7144,c_158]) ).

tcf(c_7178,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17),bool)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK16),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3414]) ).

tcf(c_7179,plain,
    ( mem(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18),bool)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(c_2Eextreal_2Eextreal__le,sK16),arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(instantiation,[status(thm)],[c_3412]) ).

tcf(c_7232,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6582,c_54,c_52,c_157,c_4450,c_6582,c_6863]) ).

tcf(c_7235,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7232,c_6162]) ).

tcf(c_7236,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7232,c_6161]) ).

tcf(c_7237,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7232,c_6160]) ).

tcf(c_7238,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_3808]) ).

tcf(c_7239,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_5385]) ).

tcf(c_7240,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_5296]) ).

tcf(c_7241,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_4939]) ).

tcf(c_7242,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7232,c_4466]) ).

tcf(c_7243,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),sK18),
    inference(superposition,[status(thm)],[c_7232,c_4047]) ).

tcf(c_7244,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_3679]) ).

tcf(c_7245,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7232,c_3363]) ).

tcf(c_7246,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7232,c_3360]) ).

tcf(c_7247,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7232,c_3357]) ).

tcf(c_7248,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16),
    inference(superposition,[status(thm)],[c_7232,c_3633]) ).

tcf(c_7249,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_3284]) ).

tcf(c_7250,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17),
    inference(superposition,[status(thm)],[c_7232,c_3632]) ).

tcf(c_7252,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_159]) ).

tcf(c_7253,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_3281]) ).

tcf(c_7254,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_3278]) ).

tcf(c_7255,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_170]) ).

tcf(c_7256,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_169]) ).

tcf(c_7257,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7256,c_158]) ).

tcf(c_7268,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7255,c_158]) ).

tcf(c_7341,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6585,c_54,c_53,c_157,c_4528,c_6585,c_7178]) ).

tcf(c_7343,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7341,c_6162]) ).

tcf(c_7344,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7341,c_6161]) ).

tcf(c_7345,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7341,c_6160]) ).

tcf(c_7346,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_3808]) ).

tcf(c_7347,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_5385]) ).

tcf(c_7348,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_5296]) ).

tcf(c_7349,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_4939]) ).

tcf(c_7350,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7341,c_4466]) ).

tcf(c_7351,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),sK18),
    inference(superposition,[status(thm)],[c_7341,c_4047]) ).

tcf(c_7352,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_3679]) ).

tcf(c_7353,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7341,c_3363]) ).

tcf(c_7354,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7341,c_3360]) ).

tcf(c_7355,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7341,c_3357]) ).

tcf(c_7356,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16),
    inference(superposition,[status(thm)],[c_7341,c_3633]) ).

tcf(c_7357,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_3284]) ).

tcf(c_7358,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17),
    inference(superposition,[status(thm)],[c_7341,c_3632]) ).

tcf(c_7359,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18),
    inference(superposition,[status(thm)],[c_7341,c_3631]) ).

tcf(c_7360,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_159]) ).

tcf(c_7361,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_3281]) ).

tcf(c_7362,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_3278]) ).

tcf(c_7363,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_170]) ).

tcf(c_7364,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_169]) ).

tcf(c_7365,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7364,c_158]) ).

tcf(c_7376,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7363,c_158]) ).

tcf(c_7442,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6588,c_53,c_52,c_157,c_4450,c_6588,c_6864]) ).

tcf(c_7445,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7442,c_6162]) ).

tcf(c_7446,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7442,c_6161]) ).

tcf(c_7447,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7442,c_6160]) ).

tcf(c_7448,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_3808]) ).

tcf(c_7449,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_5385]) ).

tcf(c_7450,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_5296]) ).

tcf(c_7451,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_4939]) ).

tcf(c_7452,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7442,c_4466]) ).

tcf(c_7453,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),sK18),
    inference(superposition,[status(thm)],[c_7442,c_4047]) ).

tcf(c_7454,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_3679]) ).

tcf(c_7455,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7442,c_3363]) ).

tcf(c_7456,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7442,c_3360]) ).

tcf(c_7457,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7442,c_3357]) ).

tcf(c_7458,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16),
    inference(superposition,[status(thm)],[c_7442,c_3633]) ).

tcf(c_7459,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_3284]) ).

tcf(c_7460,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17),
    inference(superposition,[status(thm)],[c_7442,c_3632]) ).

tcf(c_7462,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_159]) ).

tcf(c_7463,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_3281]) ).

tcf(c_7464,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_3278]) ).

tcf(c_7465,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_170]) ).

tcf(c_7466,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_169]) ).

tcf(c_7467,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7466,c_158]) ).

tcf(c_7478,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7465,c_158]) ).

tcf(c_7554,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6591,c_54,c_52,c_157,c_4528,c_6591,c_7179]) ).

tcf(c_7556,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7554,c_6162]) ).

tcf(c_7557,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7554,c_6161]) ).

tcf(c_7558,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7554,c_6160]) ).

tcf(c_7559,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_3808]) ).

tcf(c_7560,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_5385]) ).

tcf(c_7561,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_5296]) ).

tcf(c_7562,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_4939]) ).

tcf(c_7563,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7554,c_4466]) ).

tcf(c_7564,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),sK18),
    inference(superposition,[status(thm)],[c_7554,c_4047]) ).

tcf(c_7565,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_3679]) ).

tcf(c_7566,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7554,c_3363]) ).

tcf(c_7567,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7554,c_3360]) ).

tcf(c_7568,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7554,c_3357]) ).

tcf(c_7569,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16),
    inference(superposition,[status(thm)],[c_7554,c_3633]) ).

tcf(c_7570,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_3284]) ).

tcf(c_7571,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17),
    inference(superposition,[status(thm)],[c_7554,c_3632]) ).

tcf(c_7572,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18),
    inference(superposition,[status(thm)],[c_7554,c_3631]) ).

tcf(c_7573,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_159]) ).

tcf(c_7574,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_3281]) ).

tcf(c_7575,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_3278]) ).

tcf(c_7576,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_170]) ).

tcf(c_7577,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_169]) ).

tcf(c_7578,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7577,c_158]) ).

tcf(c_7589,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7576,c_158]) ).

tcf(c_7667,plain,
    mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal),
    inference(global_subsumption_just,[status(thm)],[c_6594,c_53,c_52,c_157,c_4526,c_6594,c_6926]) ).

tcf(c_7669,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4804,c_7667]) ).

tcf(c_7670,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4706,c_7667]) ).

tcf(c_7671,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3609,c_7667]) ).

tcf(c_7672,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3594,c_7667]) ).

tcf(c_7673,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3518,c_7667]) ).

tcf(c_7674,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3496,c_7667]) ).

tcf(c_7675,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3476,c_7667]) ).

tcf(c_7676,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3181,c_7667]) ).

tcf(c_7677,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3175,c_7667]) ).

tcf(c_7678,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3169,c_7667]) ).

tcf(c_7679,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3045,c_7667]) ).

tcf(c_7731,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7667,c_6162]) ).

tcf(c_7732,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7667,c_6161]) ).

tcf(c_7733,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),c_2Ebool_2EF) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7667,c_6160]) ).

tcf(c_7734,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)),c_2Ebool_2EF) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_3808]) ).

tcf(c_7735,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_5385]) ).

tcf(c_7736,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_5296]) ).

tcf(c_7737,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_4939]) ).

tcf(c_7738,plain,
    ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7667,c_4466]) ).

tcf(c_7739,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),sK18),
    inference(superposition,[status(thm)],[c_7667,c_4047]) ).

tcf(c_7740,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_3679]) ).

tcf(c_7741,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = sK18,
    inference(superposition,[status(thm)],[c_7667,c_3363]) ).

tcf(c_7742,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = sK17,
    inference(superposition,[status(thm)],[c_7667,c_3360]) ).

tcf(c_7743,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_7667,c_3357]) ).

tcf(c_7744,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16),
    inference(superposition,[status(thm)],[c_7667,c_3633]) ).

tcf(c_7745,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_3284]) ).

tcf(c_7746,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17)),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17),
    inference(superposition,[status(thm)],[c_7667,c_3632]) ).

tcf(c_7747,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18)),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18),
    inference(superposition,[status(thm)],[c_7667,c_3631]) ).

tcf(c_7748,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = ap(ap(c_2Eextreal_2Eextreal__max,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_159]) ).

tcf(c_7749,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_3281]) ).

tcf(c_7750,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_3278]) ).

tcf(c_7751,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_170]) ).

tcf(c_7752,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = X0 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_169]) ).

tcf(c_7753,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7752,c_158]) ).

tcf(c_7764,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7751,c_158]) ).

tcf(c_7882,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6962,c_3159]) ).

tcf(c_7883,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_6962,c_156]) ).

tcf(c_7884,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7882,c_52,c_54]) ).

tcf(c_7890,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7883,c_52,c_54]) ).

tcf(c_7906,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7052,c_3159]) ).

tcf(c_7907,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_7052,c_156]) ).

tcf(c_7908,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7906,c_52,c_53]) ).

tcf(c_7914,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7907,c_52,c_53]) ).

tcf(c_7928,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6968,c_3449]) ).

tcf(c_7929,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6968,c_3159]) ).

tcf(c_7930,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_6968,c_156]) ).

tcf(c_7931,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7928,c_54,c_53]) ).

tcf(c_7935,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7929,c_54,c_53]) ).

tcf(c_7941,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7930,c_54,c_53]) ).

tcf(c_7956,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7057,c_3449]) ).

tcf(c_7957,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7057,c_3159]) ).

tcf(c_7958,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_7057,c_156]) ).

tcf(c_7959,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7956,c_54,c_53]) ).

tcf(c_7963,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7957,c_54,c_53]) ).

tcf(c_7969,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7958,c_54,c_53]) ).

tcf(c_7977,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(global_subsumption_just,[status(thm)],[c_3723,c_53,c_52,c_157,c_3723,c_4526,c_6594,c_6926]) ).

tcf(c_8001,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3449]) ).

tcf(c_8002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3159]) ).

tcf(c_8003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_7977,c_156]) ).

tcf(c_8005,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3449]) ).

tcf(c_8006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3159]) ).

tcf(c_8007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_7977,c_156]) ).

tcf(c_8008,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5558]) ).

tcf(c_8009,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5514]) ).

tcf(c_8011,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3449]) ).

tcf(c_8012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_3159]) ).

tcf(c_8013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_7977,c_156]) ).

tcf(c_8014,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5558]) ).

tcf(c_8015,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5514]) ).

tcf(c_8020,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_7977]) ).

tcf(c_8022,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8020,c_54,c_7667]) ).

tcf(c_8032,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8001,c_54]) ).

tcf(c_8039,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8009,c_52]) ).

tcf(c_8046,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8008,c_52]) ).

tcf(c_8053,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8011,c_7667]) ).

tcf(c_8076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8002,c_54]) ).

tcf(c_8085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8003,c_54]) ).

tcf(c_8094,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8015,c_52,c_7667]) ).

tcf(c_8101,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8014,c_52,c_7667]) ).

tcf(c_8108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8012,c_7667]) ).

tcf(c_8117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8013,c_7667]) ).

tcf(c_8133,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7146]) ).

tcf(c_8134,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7146]) ).

tcf(c_8135,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7146]) ).

tcf(c_8136,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7146]) ).

tcf(c_8137,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7146]) ).

tcf(c_8138,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7146]) ).

tcf(c_8139,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7146]) ).

tcf(c_8140,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7146]) ).

tcf(c_8141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7146]) ).

tcf(c_8142,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7146]) ).

tcf(c_8143,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7146]) ).

tcf(c_8144,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7146]) ).

tcf(c_8145,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7146]) ).

tcf(c_8146,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7146]) ).

tcf(c_8161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8141,c_158]) ).

tcf(c_8231,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_5509,c_156]) ).

tcf(c_8232,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5509,c_5558]) ).

tcf(c_8234,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5509,c_3449]) ).

tcf(c_8235,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5509,c_3159]) ).

tcf(c_8236,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_5509,c_156]) ).

tcf(c_8237,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8234,c_53]) ).

tcf(c_8242,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8232,c_52]) ).

tcf(c_8248,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8236,c_53]) ).

tcf(c_8255,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8231,c_52]) ).

tcf(c_8280,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_5553,c_156]) ).

tcf(c_8284,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5553,c_3449]) ).

tcf(c_8285,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5553,c_3159]) ).

tcf(c_8286,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_5553,c_156]) ).

tcf(c_8287,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8284,c_54]) ).

tcf(c_8293,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8286,c_54]) ).

tcf(c_8300,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8280,c_52]) ).

tcf(c_8333,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_3449]) ).

tcf(c_8334,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_3159]) ).

tcf(c_8335,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_5634,c_156]) ).

tcf(c_8336,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_5558]) ).

tcf(c_8337,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_5514]) ).

tcf(c_8339,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_3449]) ).

tcf(c_8340,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_3159]) ).

tcf(c_8341,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_5634,c_156]) ).

tcf(c_8342,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8339,c_54]) ).

tcf(c_8347,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8333,c_53]) ).

tcf(c_8352,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_8337,c_4601]) ).

tcf(c_8353,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8336,c_52,c_53]) ).

tcf(c_8358,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8340,c_54]) ).

tcf(c_8365,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8334,c_53]) ).

tcf(c_8372,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8341,c_54]) ).

tcf(c_8379,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8335,c_53]) ).

tcf(c_8398,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) ) ),
    inference(superposition,[status(thm)],[c_7931,c_3817]) ).

tcf(c_8405,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7931,c_3159]) ).

tcf(c_8406,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_7931,c_156]) ).

tcf(c_8420,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) = sK16 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_8398,c_3747]) ).

tcf(c_8424,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8405,c_172,c_52,c_54]) ).

tcf(c_8430,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8406,c_172,c_52,c_54]) ).

tcf(c_8450,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7959,c_3159]) ).

tcf(c_8451,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_7959,c_156]) ).

tcf(c_8466,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) ) ),
    inference(superposition,[status(thm)],[c_7959,c_3704]) ).

tcf(c_8467,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) = sK17 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_8466,c_3746]) ).

tcf(c_8471,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8450,c_172,c_52,c_53]) ).

tcf(c_8477,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8451,c_172,c_52,c_53]) ).

tcf(c_8532,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5639]) ).

tcf(c_8536,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_5639]) ).

tcf(c_8537,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_5639]) ).

tcf(c_8538,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_5639]) ).

tcf(c_8544,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_5639]) ).

tcf(c_8545,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_5639]) ).

tcf(c_8547,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_5639]) ).

tcf(c_8553,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_5639]) ).

tcf(c_8555,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6955,c_5639]) ).

tcf(c_8560,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8545,c_53]) ).

tcf(c_8563,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_8547,c_4601]) ).

tcf(c_8564,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8555,c_52]) ).

tcf(c_8568,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8544,c_52,c_53]) ).

tcf(c_8573,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8536,c_53]) ).

tcf(c_8579,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8532,c_53]) ).

tcf(c_8585,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8553,c_53,c_7667]) ).

tcf(c_8628,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8560,c_3159]) ).

tcf(c_8629,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_8560,c_156]) ).

tcf(c_8702,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8568,c_3449]) ).

tcf(c_8703,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8568,c_3159]) ).

tcf(c_8704,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_8568,c_156]) ).

tcf(c_8705,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8702,c_52,c_54]) ).

tcf(c_8709,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8703,c_52,c_54]) ).

tcf(c_8715,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8704,c_52,c_54]) ).

tcf(c_8723,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(global_subsumption_just,[status(thm)],[c_3724,c_53,c_52,c_157,c_3724,c_4526,c_6594,c_6926]) ).

tcf(c_8737,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_8723]) ).

tcf(c_8739,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_8723]) ).

tcf(c_8741,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_8723]) ).

tcf(c_8743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_8723]) ).

tcf(c_8748,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_8723]) ).

tcf(c_8749,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_8723]) ).

tcf(c_8751,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_8723]) ).

tcf(c_8752,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_8723]) ).

tcf(c_8753,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_8723]) ).

tcf(c_8754,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_8723]) ).

tcf(c_8755,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_8723]) ).

tcf(c_8756,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8754,c_54,c_7667]) ).

tcf(c_8762,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8752,c_53,c_7667]) ).

tcf(c_8768,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8749,c_52,c_7667]) ).

tcf(c_8774,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8753,c_54,c_7667]) ).

tcf(c_8780,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8751,c_53,c_7667]) ).

tcf(c_8786,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8748,c_52,c_7667]) ).

tcf(c_8792,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8741,c_7667]) ).

tcf(c_8799,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8739,c_7667]) ).

tcf(c_8806,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8755,c_7667]) ).

tcf(c_8814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8743,c_7667]) ).

tcf(c_8823,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8737,c_7667]) ).

tcf(c_8839,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7257]) ).

tcf(c_8840,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7257]) ).

tcf(c_8841,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7257]) ).

tcf(c_8842,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7257]) ).

tcf(c_8843,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7257]) ).

tcf(c_8844,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7257]) ).

tcf(c_8845,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7257]) ).

tcf(c_8846,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7257]) ).

tcf(c_8847,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7257]) ).

tcf(c_8848,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7257]) ).

tcf(c_8849,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7257]) ).

tcf(c_8850,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7257]) ).

tcf(c_8851,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7257]) ).

tcf(c_8852,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7257]) ).

tcf(c_8867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8847,c_158]) ).

tcf(c_8898,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8564,c_3159]) ).

tcf(c_8899,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_8564,c_156]) ).

tcf(c_8909,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8705,c_3159]) ).

tcf(c_8910,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_8705,c_156]) ).

tcf(c_8913,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8909,c_52,c_53]) ).

tcf(c_8919,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8910,c_52,c_53]) ).

tcf(c_8927,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(global_subsumption_just,[status(thm)],[c_4485,c_53,c_52,c_157,c_4485,c_4526,c_6594,c_6926]) ).

tcf(c_8934,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8927,c_3449]) ).

tcf(c_8935,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8927,c_3159]) ).

tcf(c_8936,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_8927,c_156]) ).

tcf(c_8937,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8934,c_54,c_53]) ).

tcf(c_8940,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8935,c_54,c_53]) ).

tcf(c_8945,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8936,c_54,c_53]) ).

tcf(c_8956,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8937,c_49]) ).

tcf(c_8965,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8937,c_3159]) ).

tcf(c_8966,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_8937,c_156]) ).

tcf(c_8977,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8956,c_172]) ).

tcf(c_8981,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8965,c_172,c_54,c_7667]) ).

tcf(c_8986,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8966,c_172,c_54,c_7667]) ).

tcf(c_9047,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(global_subsumption_just,[status(thm)],[c_4489,c_53,c_52,c_157,c_4489,c_4526,c_6594,c_6926]) ).

tcf(c_9055,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9047,c_3449]) ).

tcf(c_9056,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9047,c_3159]) ).

tcf(c_9057,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_9047,c_156]) ).

tcf(c_9058,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9055,c_52,c_54]) ).

tcf(c_9061,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9056,c_52,c_54]) ).

tcf(c_9066,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9057,c_52,c_54]) ).

tcf(c_9077,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9058,c_49]) ).

tcf(c_9086,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9058,c_3159]) ).

tcf(c_9087,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_9058,c_156]) ).

tcf(c_9098,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9077,c_172]) ).

tcf(c_9102,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9086,c_172,c_54,c_7667]) ).

tcf(c_9107,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9087,c_172,c_54,c_7667]) ).

tcf(c_9141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_3159]) ).

tcf(c_9142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_4710,c_156]) ).

tcf(c_9143,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_8723]) ).

tcf(c_9144,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5558]) ).

tcf(c_9145,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5514]) ).

tcf(c_9146,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5639]) ).

tcf(c_9147,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_3449]) ).

tcf(c_9148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_3159]) ).

tcf(c_9149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4710,c_156]) ).

tcf(c_9152,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_49]) ).

tcf(c_9153,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_3449]) ).

tcf(c_9154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_3159]) ).

tcf(c_9155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4710,c_156]) ).

tcf(c_9156,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_8723]) ).

tcf(c_9157,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5558]) ).

tcf(c_9158,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5514]) ).

tcf(c_9159,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_5639]) ).

tcf(c_9171,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9147,c_52]) ).

tcf(c_9178,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9158,c_4600]) ).

tcf(c_9179,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9157,c_4600]) ).

tcf(c_9180,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9145,c_52]) ).

tcf(c_9186,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9144,c_52]) ).

tcf(c_9206,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9146,c_52,c_53]) ).

tcf(c_9212,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9148,c_52]) ).

tcf(c_9220,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9141,c_52]) ).

tcf(c_9228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9149,c_52]) ).

tcf(c_9236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9142,c_52]) ).

tcf(c_9244,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9152,c_54,c_7667]) ).

tcf(c_9249,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9156,c_7667]) ).

tcf(c_9257,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9143,c_52,c_7667]) ).

tcf(c_9335,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_3875,c_53,c_52,c_157,c_3875,c_4526,c_6594,c_6926]) ).

tcf(c_9362,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_3449]) ).

tcf(c_9363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_3159]) ).

tcf(c_9364,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_156]) ).

tcf(c_9366,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5558]) ).

tcf(c_9367,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5514]) ).

tcf(c_9368,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5639]) ).

tcf(c_9370,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_3449]) ).

tcf(c_9371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_3159]) ).

tcf(c_9372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_9335,c_156]) ).

tcf(c_9374,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5558]) ).

tcf(c_9375,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5514]) ).

tcf(c_9376,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_5639]) ).

tcf(c_9377,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9335,c_3449]) ).

tcf(c_9379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9335,c_156]) ).

tcf(c_9383,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(equality_factoring,[status(thm)],[c_9335]) ).

tcf(c_9385,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_9335]) ).

tcf(c_9386,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_9335]) ).

tcf(c_9387,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_9383,c_4602]) ).

tcf(c_9388,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9386,c_7738]) ).

tcf(c_9389,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9385,c_54,c_7667]) ).

tcf(c_9401,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9362,c_54]) ).

tcf(c_9409,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9376,c_53]) ).

tcf(c_9417,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9375,c_52]) ).

tcf(c_9425,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9374,c_52]) ).

tcf(c_9433,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9377,c_7667]) ).

tcf(c_9459,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_9368,c_4602]) ).

tcf(c_9460,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9367,c_52,c_54]) ).

tcf(c_9468,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_9366,c_4602]) ).

tcf(c_9469,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9363,c_54]) ).

tcf(c_9479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9364,c_54]) ).

tcf(c_9489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9379,c_7667]) ).

tcf(c_9515,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7365]) ).

tcf(c_9516,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7365]) ).

tcf(c_9517,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7365]) ).

tcf(c_9518,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7365]) ).

tcf(c_9519,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7365]) ).

tcf(c_9520,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7365]) ).

tcf(c_9521,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7365]) ).

tcf(c_9522,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7365]) ).

tcf(c_9523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7365]) ).

tcf(c_9524,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7365]) ).

tcf(c_9525,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7365]) ).

tcf(c_9526,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7365]) ).

tcf(c_9527,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7365]) ).

tcf(c_9528,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7365]) ).

tcf(c_9543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9523,c_158]) ).

tcf(c_9553,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(c_2Ebool_2ET,bool)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16),bool) ),
    inference(instantiation,[status(thm)],[c_4980]) ).

tcf(c_9554,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(c_2Ebool_2ET,bool)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16),bool) ),
    inference(instantiation,[status(thm)],[c_4980]) ).

tcf(c_9611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_3159]) ).

tcf(c_9612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_4808,c_156]) ).

tcf(c_9613,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_8723]) ).

tcf(c_9615,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_5514]) ).

tcf(c_9616,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_5639]) ).

tcf(c_9617,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_3449]) ).

tcf(c_9618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_3159]) ).

tcf(c_9619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4808,c_156]) ).

tcf(c_9621,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_49]) ).

tcf(c_9622,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_3449]) ).

tcf(c_9623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_3159]) ).

tcf(c_9624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4808,c_156]) ).

tcf(c_9625,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_8723]) ).

tcf(c_9626,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_5558]) ).

tcf(c_9627,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_5514]) ).

tcf(c_9628,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_5639]) ).

tcf(c_9640,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9617,c_53]) ).

tcf(c_9646,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9628,c_4601]) ).

tcf(c_9647,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9627,c_52]) ).

tcf(c_9653,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9626,c_52]) ).

tcf(c_9659,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9616,c_53]) ).

tcf(c_9679,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9615,c_4601]) ).

tcf(c_9680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9618,c_53]) ).

tcf(c_9688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9611,c_53]) ).

tcf(c_9696,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9619,c_53]) ).

tcf(c_9704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9612,c_53]) ).

tcf(c_9712,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9621,c_54,c_7667]) ).

tcf(c_9717,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9625,c_7667]) ).

tcf(c_9725,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9613,c_53,c_7667]) ).

tcf(c_9827,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_3159]) ).

tcf(c_9828,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_156]) ).

tcf(c_9829,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_8723]) ).

tcf(c_9830,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_5558]) ).

tcf(c_9832,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_5639]) ).

tcf(c_9834,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_3449]) ).

tcf(c_9835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_3159]) ).

tcf(c_9836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4896,c_156]) ).

tcf(c_9837,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_49]) ).

tcf(c_9838,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_3449]) ).

tcf(c_9839,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_3159]) ).

tcf(c_9840,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_4896,c_156]) ).

tcf(c_9841,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_8723]) ).

tcf(c_9842,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_5558]) ).

tcf(c_9843,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_5514]) ).

tcf(c_9844,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_5639]) ).

tcf(c_9856,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9834,c_54]) ).

tcf(c_9862,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9844,c_53]) ).

tcf(c_9868,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9843,c_52]) ).

tcf(c_9874,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9842,c_52]) ).

tcf(c_9894,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9832,c_4602]) ).

tcf(c_9895,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9830,c_4602]) ).

tcf(c_9896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9835,c_54]) ).

tcf(c_9904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9827,c_54]) ).

tcf(c_9912,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9836,c_54]) ).

tcf(c_9920,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9828,c_54]) ).

tcf(c_9928,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_9837,c_4602]) ).

tcf(c_9929,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9841,c_7667]) ).

tcf(c_9937,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9829,c_54,c_7667]) ).

tcf(c_10034,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(global_subsumption_just,[status(thm)],[c_4943,c_53,c_52,c_157,c_4526,c_4943,c_6594,c_6926]) ).

tcf(c_10042,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10034,c_3449]) ).

tcf(c_10043,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10034,c_3159]) ).

tcf(c_10044,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_10034,c_156]) ).

tcf(c_10045,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10042,c_52,c_54]) ).

tcf(c_10048,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10043,c_52,c_54]) ).

tcf(c_10053,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10044,c_52,c_54]) ).

tcf(c_10088,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_3159]) ).

tcf(c_10089,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_10045,c_156]) ).

tcf(c_10095,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_5514]) ).

tcf(c_10100,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10095,c_172,c_7667]) ).

tcf(c_10104,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10088,c_172,c_52,c_7667]) ).

tcf(c_10109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10089,c_172,c_52,c_7667]) ).

tcf(c_10116,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(global_subsumption_just,[status(thm)],[c_5300,c_53,c_52,c_157,c_4526,c_5300,c_6594,c_6926]) ).

tcf(c_10123,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10116,c_3449]) ).

tcf(c_10124,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10116,c_3159]) ).

tcf(c_10125,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_10116,c_156]) ).

tcf(c_10126,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10123,c_54,c_53]) ).

tcf(c_10129,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10124,c_54,c_53]) ).

tcf(c_10134,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10125,c_54,c_53]) ).

tcf(c_10155,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10126,c_3159]) ).

tcf(c_10156,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_10126,c_156]) ).

tcf(c_10167,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10155,c_172,c_53,c_7667]) ).

tcf(c_10172,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10156,c_172,c_53,c_7667]) ).

tcf(c_10179,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_3876,c_53,c_52,c_157,c_3876,c_4526,c_6594,c_6926]) ).

tcf(c_10196,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_10116,c_10179]) ).

tcf(c_10197,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8927,c_10179]) ).

tcf(c_10198,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8560,c_10179]) ).

tcf(c_10199,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7057,c_10179]) ).

tcf(c_10200,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_10034,c_10179]) ).

tcf(c_10201,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9047,c_10179]) ).

tcf(c_10202,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8564,c_10179]) ).

tcf(c_10203,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8568,c_10179]) ).

tcf(c_10204,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6962,c_10179]) ).

tcf(c_10205,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7044,c_10179]) ).

tcf(c_10210,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_10179]) ).

tcf(c_10211,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4808,c_10179]) ).

tcf(c_10212,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_10179]) ).

tcf(c_10213,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_10179]) ).

tcf(c_10214,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4462,c_10179]) ).

tcf(c_10215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3590,c_10179]) ).

tcf(c_10216,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3436,c_10179]) ).

tcf(c_10217,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_155,c_10179]) ).

tcf(c_10219,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3590,c_10179]) ).

tcf(c_10221,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5634,c_10179]) ).

tcf(c_10222,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5553,c_10179]) ).

tcf(c_10224,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4892,c_10179]) ).

tcf(c_10225,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4670,c_10179]) ).

tcf(c_10226,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_10179]) ).

tcf(c_10229,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4698,c_10179]) ).

tcf(c_10230,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4629,c_10179]) ).

tcf(c_10231,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4702,c_10179]) ).

tcf(c_10232,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4629,c_10179]) ).

tcf(c_10233,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4808,c_10179]) ).

tcf(c_10235,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4796,c_10179]) ).

tcf(c_10236,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4651,c_10179]) ).

tcf(c_10237,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5509,c_10179]) ).

tcf(c_10238,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4800,c_10179]) ).

tcf(c_10239,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4651,c_10179]) ).

tcf(c_10240,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_10179]) ).

tcf(c_10241,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_10179]) ).

tcf(c_10242,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4888,c_10179]) ).

tcf(c_10243,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4670,c_10179]) ).

tcf(c_10245,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_10179]) ).

tcf(c_10246,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_10179]) ).

tcf(c_10247,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4808,c_10179]) ).

tcf(c_10249,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8705,c_10179]) ).

tcf(c_10251,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6955,c_10179]) ).

tcf(c_10252,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6968,c_10179]) ).

tcf(c_10253,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5595,c_10179]) ).

tcf(c_10254,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7931,c_10179]) ).

tcf(c_10255,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5460,c_10179]) ).

tcf(c_10256,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9058,c_10179]) ).

tcf(c_10257,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8937,c_10179]) ).

tcf(c_10258,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4602,c_10179]) ).

tcf(c_10259,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4600,c_10179]) ).

tcf(c_10260,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7959,c_10179]) ).

tcf(c_10261,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5459,c_10179]) ).

tcf(c_10262,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4601,c_10179]) ).

tcf(c_10263,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_10179]) ).

tcf(c_10264,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10126,c_10179]) ).

tcf(c_10268,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10243,c_54]) ).

tcf(c_10275,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10239,c_53]) ).

tcf(c_10282,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10236,c_53]) ).

tcf(c_10289,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10232,c_52]) ).

tcf(c_10296,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10230,c_52]) ).

tcf(c_10303,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10225,c_4602]) ).

tcf(c_10311,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10251,c_52,c_53]) ).

tcf(c_10317,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10242,c_54]) ).

tcf(c_10324,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10238,c_53]) ).

tcf(c_10331,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10235,c_53]) ).

tcf(c_10338,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10231,c_52]) ).

tcf(c_10345,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10229,c_52]) ).

tcf(c_10352,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10224,c_4602]) ).

tcf(c_10367,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10205,c_4602]) ).

tcf(c_10368,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10198,c_4602]) ).

tcf(c_10396,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10201,c_4602]) ).

tcf(c_10397,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10200,c_4602]) ).

tcf(c_10398,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10197,c_4602]) ).

tcf(c_10399,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10196,c_4602]) ).

tcf(c_10401,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10222,c_4602]) ).

tcf(c_10402,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10221,c_4602]) ).

tcf(c_10403,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10204,c_4602]) ).

tcf(c_10404,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10203,c_4602]) ).

tcf(c_10405,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10252,c_54,c_53]) ).

tcf(c_10412,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10249,c_52,c_53]) ).

tcf(c_10419,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10247,c_53]) ).

tcf(c_10428,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10246,c_52]) ).

tcf(c_10437,plain,
    ! [X0: $i,X1: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10245,c_4602]) ).

tcf(c_10438,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10240,c_54]) ).

tcf(c_10447,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10233,c_53]) ).

tcf(c_10456,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10226,c_52]) ).

tcf(c_10491,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10202,c_4602]) ).

tcf(c_10492,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10199,c_4602]) ).

tcf(c_10499,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10241,c_54]) ).

tcf(c_10571,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7467]) ).

tcf(c_10572,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7467]) ).

tcf(c_10573,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7467]) ).

tcf(c_10574,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7467]) ).

tcf(c_10575,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7467]) ).

tcf(c_10576,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7467]) ).

tcf(c_10577,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7467]) ).

tcf(c_10578,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7467]) ).

tcf(c_10579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7467]) ).

tcf(c_10580,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7467]) ).

tcf(c_10581,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7467]) ).

tcf(c_10582,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7467]) ).

tcf(c_10583,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7467]) ).

tcf(c_10584,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7467]) ).

tcf(c_10599,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10579,c_158]) ).

tcf(c_10653,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6972,c_10179]) ).

tcf(c_10654,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6972,c_3449]) ).

tcf(c_10655,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6972,c_3159]) ).

tcf(c_10656,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_6972,c_156]) ).

tcf(c_10657,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6972,c_5639]) ).

tcf(c_10658,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10654,c_53]) ).

tcf(c_10668,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10655,c_53]) ).

tcf(c_10675,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10656,c_53]) ).

tcf(c_10682,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10653,c_53]) ).

tcf(c_10708,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_49]) ).

tcf(c_10709,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7061,c_10179]) ).

tcf(c_10710,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_3449]) ).

tcf(c_10711,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_3159]) ).

tcf(c_10712,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_7061,c_156]) ).

tcf(c_10713,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10710,c_54]) ).

tcf(c_10718,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10711,c_54]) ).

tcf(c_10725,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10712,c_54]) ).

tcf(c_10732,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10708,c_7667]) ).

tcf(c_10737,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10709,c_4602]) ).

tcf(c_10772,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8237,c_10179]) ).

tcf(c_10773,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_3449]) ).

tcf(c_10774,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_3159]) ).

tcf(c_10775,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_8237,c_156]) ).

tcf(c_10776,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_8723]) ).

tcf(c_10777,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_5558]) ).

tcf(c_10780,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10773,c_52]) ).

tcf(c_10785,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10777,c_52]) ).

tcf(c_10790,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10774,c_52]) ).

tcf(c_10797,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10775,c_52]) ).

tcf(c_10804,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10776,c_52,c_7667]) ).

tcf(c_10811,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10772,c_52]) ).

tcf(c_10858,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8287,c_10179]) ).

tcf(c_10859,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_3449]) ).

tcf(c_10860,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_3159]) ).

tcf(c_10861,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_8287,c_156]) ).

tcf(c_10862,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_8723]) ).

tcf(c_10866,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10859,c_52]) ).

tcf(c_10871,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10860,c_52]) ).

tcf(c_10878,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10861,c_52]) ).

tcf(c_10885,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10862,c_52,c_7667]) ).

tcf(c_10892,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10858,c_52]) ).

tcf(c_10917,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8342,c_10179]) ).

tcf(c_10918,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_3449]) ).

tcf(c_10919,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_3159]) ).

tcf(c_10920,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_8342,c_156]) ).

tcf(c_10921,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_8723]) ).

tcf(c_10925,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10918,c_53]) ).

tcf(c_10930,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10919,c_53]) ).

tcf(c_10937,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10920,c_53]) ).

tcf(c_10944,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10921,c_53,c_7667]) ).

tcf(c_10951,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10917,c_53]) ).

tcf(c_10991,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8347,c_49]) ).

tcf(c_10992,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8347,c_10179]) ).

tcf(c_10993,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8347,c_3449]) ).

tcf(c_10994,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8347,c_3159]) ).

tcf(c_10995,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_8347,c_156]) ).

tcf(c_10997,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10994,c_54]) ).

tcf(c_11004,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10995,c_54]) ).

tcf(c_11011,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10991,c_7667]) ).

tcf(c_11016,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_10992,c_4602]) ).

tcf(c_11050,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_49]) ).

tcf(c_11051,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8573,c_10179]) ).

tcf(c_11052,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_3449]) ).

tcf(c_11053,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_3159]) ).

tcf(c_11054,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_8573,c_156]) ).

tcf(c_11055,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11052,c_54]) ).

tcf(c_11060,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_54]) ).

tcf(c_11067,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11054,c_54]) ).

tcf(c_11074,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11050,c_7667]) ).

tcf(c_11079,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_11051,c_4602]) ).

tcf(c_11184,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(global_subsumption_just,[status(thm)],[c_3934,c_53,c_52,c_157,c_3934,c_4526,c_6594,c_6926]) ).

tcf(c_11222,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3449]) ).

tcf(c_11223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3159]) ).

tcf(c_11224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11184,c_156]) ).

tcf(c_11227,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3449]) ).

tcf(c_11228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3159]) ).

tcf(c_11229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11184,c_156]) ).

tcf(c_11231,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5558]) ).

tcf(c_11232,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5514]) ).

tcf(c_11233,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5639]) ).

tcf(c_11236,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3449]) ).

tcf(c_11237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_3159]) ).

tcf(c_11238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_11184,c_156]) ).

tcf(c_11240,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5558]) ).

tcf(c_11241,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5514]) ).

tcf(c_11242,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_5639]) ).

tcf(c_11245,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_11184]) ).

tcf(c_11247,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(equality_factoring,[status(thm)],[c_11184]) ).

tcf(c_11249,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11245,c_4602]) ).

tcf(c_11250,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11247,c_54,c_7667]) ).

tcf(c_11254,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11232,c_52]) ).

tcf(c_11260,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11231,c_52]) ).

tcf(c_11272,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11222,c_54]) ).

tcf(c_11280,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11236,c_7667]) ).

tcf(c_11303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11223,c_54]) ).

tcf(c_11312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11224,c_54]) ).

tcf(c_11321,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11242,c_53,c_7667]) ).

tcf(c_11328,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11241,c_52,c_7667]) ).

tcf(c_11335,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11240,c_52,c_7667]) ).

tcf(c_11342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11237,c_7667]) ).

tcf(c_11351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11238,c_7667]) ).

tcf(c_11367,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7578]) ).

tcf(c_11368,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7578]) ).

tcf(c_11369,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7578]) ).

tcf(c_11370,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7578]) ).

tcf(c_11371,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7578]) ).

tcf(c_11372,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7578]) ).

tcf(c_11373,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7578]) ).

tcf(c_11374,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7578]) ).

tcf(c_11375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7578]) ).

tcf(c_11376,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7578]) ).

tcf(c_11377,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7578]) ).

tcf(c_11378,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7578]) ).

tcf(c_11379,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7578]) ).

tcf(c_11380,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7578]) ).

tcf(c_11395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11375,c_158]) ).

tcf(c_11450,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7131,c_10179]) ).

tcf(c_11459,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7131,c_3159]) ).

tcf(c_11466,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11459,c_172,c_7121]) ).

tcf(c_11470,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11450,c_172,c_7121]) ).

tcf(c_11481,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7242,c_10179]) ).

tcf(c_11490,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7242,c_3159]) ).

tcf(c_11497,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11490,c_172,c_7232]) ).

tcf(c_11501,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11481,c_172,c_7232]) ).

tcf(c_11519,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10116,c_4722]) ).

tcf(c_11520,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8927,c_4722]) ).

tcf(c_11522,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7057,c_4722]) ).

tcf(c_11530,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_50,c_4722]) ).

tcf(c_11531,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4722]) ).

tcf(c_11532,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4722]) ).

tcf(c_11534,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4722]) ).

tcf(c_11535,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4722]) ).

tcf(c_11536,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4722]) ).

tcf(c_11537,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_4722]) ).

tcf(c_11538,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_4722]) ).

tcf(c_11539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_4722]) ).

tcf(c_11540,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_4722]) ).

tcf(c_11545,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4722]) ).

tcf(c_11546,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_4722]) ).

tcf(c_11547,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8347,c_4722]) ).

tcf(c_11548,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_4722]) ).

tcf(c_11549,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_4722]) ).

tcf(c_11550,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5553,c_4722]) ).

tcf(c_11551,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4722]) ).

tcf(c_11552,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4892,c_4722]) ).

tcf(c_11553,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4722]) ).

tcf(c_11554,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_4722]) ).

tcf(c_11555,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_4722]) ).

tcf(c_11559,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_4722]) ).

tcf(c_11561,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4702,c_4722]) ).

tcf(c_11562,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_4722]) ).

tcf(c_11563,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_4722]) ).

tcf(c_11564,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4722]) ).

tcf(c_11566,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_4722]) ).

tcf(c_11567,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_4722]) ).

tcf(c_11568,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6972,c_4722]) ).

tcf(c_11569,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5509,c_4722]) ).

tcf(c_11570,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4800,c_4722]) ).

tcf(c_11571,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_4722]) ).

tcf(c_11572,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4722]) ).

tcf(c_11573,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4722]) ).

tcf(c_11574,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_4722]) ).

tcf(c_11575,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4722]) ).

tcf(c_11577,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4722]) ).

tcf(c_11578,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_4722]) ).

tcf(c_11579,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4722]) ).

tcf(c_11580,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4722]) ).

tcf(c_11581,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4722]) ).

tcf(c_11585,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6968,c_4722]) ).

tcf(c_11591,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4602,c_4722]) ).

tcf(c_11592,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4600,c_4722]) ).

tcf(c_11593,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7959,c_4722]) ).

tcf(c_11595,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4601,c_4722]) ).

tcf(c_11596,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_4722]) ).

tcf(c_11597,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10126,c_4722]) ).

tcf(c_11598,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7131,c_4722]) ).

tcf(c_11599,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7242,c_4722]) ).

tcf(c_11601,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11595,c_172,c_53]) ).

tcf(c_11604,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11591,c_172,c_54]) ).

tcf(c_11607,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11575,c_54]) ).

tcf(c_11612,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11571,c_53]) ).

tcf(c_11617,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11567,c_53]) ).

tcf(c_11622,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11562,c_4600]) ).

tcf(c_11623,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11553,c_54]) ).

tcf(c_11628,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11574,c_54]) ).

tcf(c_11633,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11570,c_53]) ).

tcf(c_11638,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11566,c_53]) ).

tcf(c_11643,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11561,c_4600]) ).

tcf(c_11644,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11559,c_4600]) ).

tcf(c_11645,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11552,c_54]) ).

tcf(c_11660,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11599,c_172,c_7232]) ).

tcf(c_11663,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11598,c_172,c_7121]) ).

tcf(c_11684,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11520,c_54,c_53]) ).

tcf(c_11688,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11519,c_54,c_53]) ).

tcf(c_11695,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11530,c_54,c_7667]) ).

tcf(c_11699,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11585,c_54,c_53]) ).

tcf(c_11704,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11579,c_53]) ).

tcf(c_11711,plain,
    ! [X0: $i,X1: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11578,c_4600]) ).

tcf(c_11712,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11577,c_54]) ).

tcf(c_11719,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11572,c_54]) ).

tcf(c_11726,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11568,c_53]) ).

tcf(c_11732,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11564,c_53]) ).

tcf(c_11739,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11563,c_53]) ).

tcf(c_11745,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11555,c_4600]) ).

tcf(c_11746,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_11554,c_4600]) ).

tcf(c_11747,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11548,c_54]) ).

tcf(c_11753,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11547,c_54]) ).

tcf(c_11759,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11546,c_54]) ).

tcf(c_11772,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11522,c_54,c_53]) ).

tcf(c_11777,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11597,c_172,c_53,c_7667]) ).

tcf(c_11783,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11545,c_54]) ).

tcf(c_11804,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11551,c_54]) ).

tcf(c_11812,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11581,c_7667]) ).

tcf(c_11820,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11580,c_7667]) ).

tcf(c_11991,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11601,c_10179]) ).

tcf(c_11992,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11601,c_3449]) ).

tcf(c_11993,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11601,c_3159]) ).

tcf(c_11994,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11601,c_156]) ).

tcf(c_11996,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11992,c_52,c_53]) ).

tcf(c_12000,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11994,c_52,c_53]) ).

tcf(c_12005,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11991,c_52,c_53]) ).

tcf(c_12076,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11604,c_10179]) ).

tcf(c_12077,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11604,c_3449]) ).

tcf(c_12078,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11604,c_3159]) ).

tcf(c_12079,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11604,c_156]) ).

tcf(c_12080,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12077,c_52,c_54]) ).

tcf(c_12084,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12079,c_52,c_54]) ).

tcf(c_12089,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_12076,c_4602]) ).

tcf(c_12103,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11996,c_10179]) ).

tcf(c_12105,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11996,c_3159]) ).

tcf(c_12106,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_11996,c_156]) ).

tcf(c_12109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12105,c_52,c_53]) ).

tcf(c_12114,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12106,c_52,c_53]) ).

tcf(c_12119,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12103,c_52,c_53]) ).

tcf(c_12154,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12080,c_10179]) ).

tcf(c_12156,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12080,c_3159]) ).

tcf(c_12157,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_12080,c_156]) ).

tcf(c_12160,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12156,c_52,c_54]) ).

tcf(c_12165,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12157,c_52,c_54]) ).

tcf(c_12192,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_4722]) ).

tcf(c_12193,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_10179]) ).

tcf(c_12194,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_3449]) ).

tcf(c_12195,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_3159]) ).

tcf(c_12196,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11607,c_156]) ).

tcf(c_12197,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_8723]) ).

tcf(c_12199,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_5514]) ).

tcf(c_12203,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_10179]) ).

tcf(c_12206,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11607,c_156]) ).

tcf(c_12207,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12194,c_52]) ).

tcf(c_12212,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12199,c_52]) ).

tcf(c_12217,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_12192,c_4600]) ).

tcf(c_12218,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12195,c_52]) ).

tcf(c_12225,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12206,c_54]) ).

tcf(c_12232,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12196,c_52]) ).

tcf(c_12239,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_12203,c_4602]) ).

tcf(c_12240,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12197,c_52,c_7667]) ).

tcf(c_12247,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12193,c_52]) ).

tcf(c_12271,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_4722]) ).

tcf(c_12272,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11612,c_10179]) ).

tcf(c_12274,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_3159]) ).

tcf(c_12275,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11612,c_156]) ).

tcf(c_12276,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_5639]) ).

tcf(c_12278,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11612,c_10179]) ).

tcf(c_12280,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_3159]) ).

tcf(c_12281,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_11612,c_156]) ).

tcf(c_12282,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_8723]) ).

tcf(c_12284,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_5514]) ).

tcf(c_12286,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_4722]) ).

tcf(c_12287,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11612,c_10179]) ).

tcf(c_12288,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_3449]) ).

tcf(c_12289,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_3159]) ).

tcf(c_12290,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11612,c_156]) ).

tcf(c_12293,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12288,c_52]) ).

tcf(c_12298,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_12286,c_4600]) ).

tcf(c_12302,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12280,c_53]) ).

tcf(c_12309,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_12271,c_4600]) ).

tcf(c_12310,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12290,c_52]) ).

tcf(c_12317,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12281,c_53]) ).

tcf(c_12325,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12275,c_52,c_53]) ).

tcf(c_12332,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12287,c_52]) ).

tcf(c_12340,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12282,c_53,c_7667]) ).

tcf(c_12347,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12278,c_53]) ).

tcf(c_12355,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12272,c_52,c_53]) ).

tcf(c_12383,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(global_subsumption_just,[status(thm)],[c_3935,c_53,c_52,c_157,c_3935,c_4526,c_6594,c_6926]) ).

tcf(c_12397,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12383]) ).

tcf(c_12400,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12383]) ).

tcf(c_12401,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12383]) ).

tcf(c_12403,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_12383]) ).

tcf(c_12404,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_12383]) ).

tcf(c_12406,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_12383]) ).

tcf(c_12408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_12383]) ).

tcf(c_12412,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_12383]) ).

tcf(c_12413,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_12383]) ).

tcf(c_12414,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_12383]) ).

tcf(c_12417,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4698,c_12383]) ).

tcf(c_12418,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_12383]) ).

tcf(c_12419,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_12383]) ).

tcf(c_12420,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_12383]) ).

tcf(c_12421,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12383]) ).

tcf(c_12423,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_12383]) ).

tcf(c_12424,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_12383]) ).

tcf(c_12425,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12383]) ).

tcf(c_12427,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_12383]) ).

tcf(c_12428,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_12383]) ).

tcf(c_12430,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12383]) ).

tcf(c_12432,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12428,c_54,c_7667]) ).

tcf(c_12438,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12424,c_53,c_7667]) ).

tcf(c_12444,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12418,c_52,c_7667]) ).

tcf(c_12450,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12427,c_54,c_7667]) ).

tcf(c_12458,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12406,c_7667]) ).

tcf(c_12465,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12404,c_7667]) ).

tcf(c_12472,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12419,c_53,c_7667]) ).

tcf(c_12479,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12403,c_7667]) ).

tcf(c_12487,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12401,c_7667]) ).

tcf(c_12495,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12400,c_7667]) ).

tcf(c_12503,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12430,c_7667]) ).

tcf(c_12511,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12425,c_54,c_7667]) ).

tcf(c_12519,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12421,c_53,c_7667]) ).

tcf(c_12527,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12420,c_53,c_7667]) ).

tcf(c_12534,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12414,c_52,c_7667]) ).

tcf(c_12542,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12413,c_52,c_7667]) ).

tcf(c_12549,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12412,c_52,c_7667]) ).

tcf(c_12556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12408,c_7667]) ).

tcf(c_12565,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12397,c_7667]) ).

tcf(c_12643,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK18,
    inference(superposition,[status(thm)],[c_52,c_7753]) ).

tcf(c_12644,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK17,
    inference(superposition,[status(thm)],[c_53,c_7753]) ).

tcf(c_12645,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK16,
    inference(superposition,[status(thm)],[c_54,c_7753]) ).

tcf(c_12646,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7753]) ).

tcf(c_12647,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,X0),X1) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7753]) ).

tcf(c_12648,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7753]) ).

tcf(c_12649,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7753]) ).

tcf(c_12650,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7753]) ).

tcf(c_12651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7753]) ).

tcf(c_12652,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7753]) ).

tcf(c_12653,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7753]) ).

tcf(c_12654,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7753]) ).

tcf(c_12655,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7753]) ).

tcf(c_12656,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7753]) ).

tcf(c_12671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12651,c_158]) ).

tcf(c_12753,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7350,c_4722]) ).

tcf(c_12754,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7350,c_10179]) ).

tcf(c_12763,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7350,c_3159]) ).

tcf(c_12770,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12753,c_172,c_7341]) ).

tcf(c_12773,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12763,c_172,c_7341]) ).

tcf(c_12777,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12754,c_172,c_7341]) ).

tcf(c_12788,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7452,c_4722]) ).

tcf(c_12789,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7452,c_10179]) ).

tcf(c_12798,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7452,c_3159]) ).

tcf(c_12805,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12788,c_172,c_7442]) ).

tcf(c_12808,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12798,c_172,c_7442]) ).

tcf(c_12812,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12789,c_172,c_7442]) ).

tcf(c_12821,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7563,c_4722]) ).

tcf(c_12822,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7563,c_10179]) ).

tcf(c_12831,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7563,c_3159]) ).

tcf(c_12838,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12821,c_172,c_7554]) ).

tcf(c_12841,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12831,c_172,c_7554]) ).

tcf(c_12845,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12822,c_172,c_7554]) ).

tcf(c_12856,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7669,c_4722]) ).

tcf(c_12862,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12856,c_53,c_7667]) ).

tcf(c_12883,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_4722]) ).

tcf(c_12884,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11617,c_10179]) ).

tcf(c_12885,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_3449]) ).

tcf(c_12886,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_3159]) ).

tcf(c_12887,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11617,c_156]) ).

tcf(c_12888,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_12383]) ).

tcf(c_12889,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_8723]) ).

tcf(c_12892,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_5639]) ).

tcf(c_12894,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11617,c_10179]) ).

tcf(c_12897,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11617,c_156]) ).

tcf(c_12899,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12885,c_52]) ).

tcf(c_12904,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_12883,c_4600]) ).

tcf(c_12905,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_12892,c_4601]) ).

tcf(c_12906,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12886,c_52]) ).

tcf(c_12913,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12897,c_53]) ).

tcf(c_12920,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12887,c_52]) ).

tcf(c_12927,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12894,c_53]) ).

tcf(c_12935,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12889,c_52,c_7667]) ).

tcf(c_12942,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12888,c_52,c_7667]) ).

tcf(c_12949,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12884,c_52]) ).

tcf(c_13113,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_4722]) ).

tcf(c_13114,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11623,c_10179]) ).

tcf(c_13116,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_3159]) ).

tcf(c_13117,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11623,c_156]) ).

tcf(c_13121,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_3159]) ).

tcf(c_13122,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_11623,c_156]) ).

tcf(c_13123,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_12383]) ).

tcf(c_13124,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_8723]) ).

tcf(c_13125,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_5558]) ).

tcf(c_13127,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_5639]) ).

tcf(c_13128,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_4722]) ).

tcf(c_13130,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_3449]) ).

tcf(c_13131,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_3159]) ).

tcf(c_13132,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11623,c_156]) ).

tcf(c_13135,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13130,c_52]) ).

tcf(c_13140,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13128,c_4600]) ).

tcf(c_13141,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13127,c_4602]) ).

tcf(c_13144,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13121,c_54]) ).

tcf(c_13151,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13113,c_4600]) ).

tcf(c_13152,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13132,c_52]) ).

tcf(c_13159,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13122,c_54]) ).

tcf(c_13167,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13117,c_52,c_54]) ).

tcf(c_13174,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13123,c_54,c_7667]) ).

tcf(c_13180,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13124,c_54,c_7667]) ).

tcf(c_13187,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_13114,c_4602]) ).

tcf(c_13201,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12862,c_3449]) ).

tcf(c_13202,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12862,c_3159]) ).

tcf(c_13203,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_12862,c_156]) ).

tcf(c_13206,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13201,c_52,c_7667]) ).

tcf(c_13210,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13202,c_52,c_7667]) ).

tcf(c_13216,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13203,c_52,c_7667]) ).

tcf(c_13232,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12000]) ).

tcf(c_13233,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_12000]) ).

tcf(c_13235,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12000]) ).

tcf(c_13241,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_12000]) ).

tcf(c_13242,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_12000]) ).

tcf(c_13243,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_12000]) ).

tcf(c_13247,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_12000]) ).

tcf(c_13255,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_12000]) ).

tcf(c_13260,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_12000]) ).

tcf(c_13261,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12000]) ).

tcf(c_13263,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_12000]) ).

tcf(c_13266,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12000]) ).

tcf(c_13267,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_12000]) ).

tcf(c_13269,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_12000]) ).

tcf(c_13273,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11996,c_12000]) ).

tcf(c_13274,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8705,c_12000]) ).

tcf(c_13275,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12080,c_12000]) ).

tcf(c_13278,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_12000]) ).

tcf(c_13279,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13275,c_54]) ).

tcf(c_13283,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13273,c_4601]) ).

tcf(c_13284,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13269,c_52,c_54]) ).

tcf(c_13289,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13263,c_4601]) ).

tcf(c_13295,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13247,c_52]) ).

tcf(c_13300,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13241,c_52]) ).

tcf(c_13305,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13274,c_4601]) ).

tcf(c_13307,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13278,c_172,c_7667]) ).

tcf(c_13311,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13266,c_52,c_54]) ).

tcf(c_13317,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13261,c_4601]) ).

tcf(c_13318,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13260,c_4601]) ).

tcf(c_13320,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13232,c_52]) ).

tcf(c_13326,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13233,c_52]) ).

tcf(c_13347,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13284,c_10179]) ).

tcf(c_13350,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13284,c_156]) ).

tcf(c_13351,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13350,c_52,c_54]) ).

tcf(c_13357,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_13347,c_4602]) ).

tcf(c_13402,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13279,c_10179]) ).

tcf(c_13404,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13279,c_3159]) ).

tcf(c_13405,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_13279,c_156]) ).

tcf(c_13406,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13279,c_12000]) ).

tcf(c_13408,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13279,c_5514]) ).

tcf(c_13409,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13406,c_4601]) ).

tcf(c_13410,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13408,c_4601]) ).

tcf(c_13411,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13404,c_52,c_53]) ).

tcf(c_13417,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13405,c_52,c_53]) ).

tcf(c_13438,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12084]) ).

tcf(c_13443,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_12084]) ).

tcf(c_13444,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_12084]) ).

tcf(c_13445,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_12084]) ).

tcf(c_13458,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_12084]) ).

tcf(c_13463,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12084]) ).

tcf(c_13466,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_12084]) ).

tcf(c_13468,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12084]) ).

tcf(c_13469,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_12084]) ).

tcf(c_13470,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4888,c_12084]) ).

tcf(c_13475,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13279,c_12084]) ).

tcf(c_13476,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11996,c_12084]) ).

tcf(c_13477,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8705,c_12084]) ).

tcf(c_13478,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12080,c_12084]) ).

tcf(c_13481,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_12084]) ).

tcf(c_13482,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13478,c_4602]) ).

tcf(c_13483,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13476,c_53]) ).

tcf(c_13487,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13466,c_52,c_53]) ).

tcf(c_13492,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13470,c_4602]) ).

tcf(c_13498,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13443,c_52]) ).

tcf(c_13503,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13475,c_53]) ).

tcf(c_13508,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_53]) ).

tcf(c_13514,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13481,c_172,c_7667]) ).

tcf(c_13518,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13468,c_4602]) ).

tcf(c_13519,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13463,c_52,c_53]) ).

tcf(c_13526,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_13469,c_4602]) ).

tcf(c_13530,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_4633,c_53,c_52,c_157,c_4526,c_4633,c_6594,c_6926]) ).

tcf(c_13538,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13530,c_4722]) ).

tcf(c_13539,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13530,c_10179]) ).

tcf(c_13540,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13530,c_3449]) ).

tcf(c_13542,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13530,c_156]) ).

tcf(c_13545,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13540,c_52,c_7667]) ).

tcf(c_13549,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13538,c_4600]) ).

tcf(c_13551,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13542,c_52,c_7667]) ).

tcf(c_13558,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_8977,c_172,c_54,c_53,c_173,c_157,c_4526,c_6924,c_9553]) ).

tcf(c_13568,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13558]) ).

tcf(c_13572,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_13558]) ).

tcf(c_13573,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_13558]) ).

tcf(c_13577,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_13558]) ).

tcf(c_13579,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_13558]) ).

tcf(c_13582,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13558]) ).

tcf(c_13585,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_13558]) ).

tcf(c_13587,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5553,c_13558]) ).

tcf(c_13588,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_13558]) ).

tcf(c_13591,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_13558]) ).

tcf(c_13593,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_13558]) ).

tcf(c_13596,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_13558]) ).

tcf(c_13597,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_13558]) ).

tcf(c_13599,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13596,c_54]) ).

tcf(c_13602,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13591,c_54]) ).

tcf(c_13606,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13577,c_54,c_53]) ).

tcf(c_13609,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13587,c_53]) ).

tcf(c_13613,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13597,c_53]) ).

tcf(c_13619,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13585,c_53]) ).

tcf(c_13623,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13572,c_4601]) ).

tcf(c_13627,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13568,c_4602]) ).

tcf(c_13630,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_9098,c_172,c_54,c_52,c_173,c_157,c_4450,c_6863,c_9554]) ).

tcf(c_13645,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13630]) ).

tcf(c_13646,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_13630]) ).

tcf(c_13654,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_13630]) ).

tcf(c_13659,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13630]) ).

tcf(c_13660,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_13630]) ).

tcf(c_13665,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_13630]) ).

tcf(c_13672,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_13630]) ).

tcf(c_13677,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_13630]) ).

tcf(c_13680,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13654,c_52,c_54]) ).

tcf(c_13685,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13660,c_52]) ).

tcf(c_13691,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13646,c_4602]) ).

tcf(c_13692,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13645,c_4602]) ).

tcf(c_13697,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_52,c_7157]) ).

tcf(c_13698,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_53,c_7157]) ).

tcf(c_13699,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_54,c_7157]) ).

tcf(c_13700,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7667,c_7157]) ).

tcf(c_13701,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7157]) ).

tcf(c_13702,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7157]) ).

tcf(c_13703,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7157]) ).

tcf(c_13704,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7157]) ).

tcf(c_13705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7157]) ).

tcf(c_13706,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7554,c_7157]) ).

tcf(c_13707,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7442,c_7157]) ).

tcf(c_13708,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7341,c_7157]) ).

tcf(c_13709,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7157]) ).

tcf(c_13710,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7157]) ).

tcf(c_13725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13705,c_158]) ).

tcf(c_13831,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_13599,c_156]) ).

tcf(c_13833,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13831,c_54,c_53]) ).

tcf(c_13850,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7670,c_12000]) ).

tcf(c_13853,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13850,c_7667]) ).

tcf(c_13860,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_4722]) ).

tcf(c_13861,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_10179]) ).

tcf(c_13870,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_3159]) ).

tcf(c_13877,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_12383]) ).

tcf(c_13878,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_8723]) ).

tcf(c_13882,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13860,c_172,c_7667]) ).

tcf(c_13885,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13870,c_172,c_7667]) ).

tcf(c_13905,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) ) ),
    inference(superposition,[status(thm)],[c_13606,c_3818]) ).

tcf(c_13906,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_11184]) ).

tcf(c_13912,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_4808]) ).

tcf(c_13913,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13606,c_9335]) ).

tcf(c_13923,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_3590]) ).

tcf(c_13926,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_11184]) ).

tcf(c_13932,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_7977]) ).

tcf(c_13937,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_4808]) ).

tcf(c_13941,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_4896]) ).

tcf(c_13942,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16) = sK17 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_13905,c_3977]) ).

tcf(c_13947,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13912,c_4601]) ).

tcf(c_13951,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13906,c_4602]) ).

tcf(c_13972,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) ) ),
    inference(superposition,[status(thm)],[c_13680,c_3817]) ).

tcf(c_13973,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_11184]) ).

tcf(c_13974,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_7977]) ).

tcf(c_13978,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_4896]) ).

tcf(c_13980,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13680,c_9335]) ).

tcf(c_13990,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_3590]) ).

tcf(c_13993,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_11184]) ).

tcf(c_13999,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_7977]) ).

tcf(c_14003,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_11607]) ).

tcf(c_14006,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_4710]) ).

tcf(c_14011,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_4896]) ).

tcf(c_14012,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) = sK18 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_13972,c_4032]) ).

tcf(c_14015,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14003,c_4602]) ).

tcf(c_14018,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13978,c_4602]) ).

tcf(c_14022,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13974,c_4602]) ).

tcf(c_14023,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_13973,c_4602]) ).

tcf(c_14037,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13487,c_156]) ).

tcf(c_14039,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14037,c_52,c_53]) ).

tcf(c_14094,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_13483,c_13558]) ).

tcf(c_14096,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13483,c_10179]) ).

tcf(c_14098,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13483,c_3159]) ).

tcf(c_14099,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_13483,c_156]) ).

tcf(c_14103,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14098,c_54,c_53]) ).

tcf(c_14109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14099,c_54,c_53]) ).

tcf(c_14115,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_14096,c_4602]) ).

tcf(c_14127,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13602,c_10179]) ).

tcf(c_14129,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13602,c_3159]) ).

tcf(c_14130,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13602,c_156]) ).

tcf(c_14132,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14129,c_52,c_53]) ).

tcf(c_14138,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14130,c_52,c_53]) ).

tcf(c_14156,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13609,c_10179]) ).

tcf(c_14158,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13609,c_3159]) ).

tcf(c_14159,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13609,c_156]) ).

tcf(c_14179,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_4722]) ).

tcf(c_14180,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11628,c_10179]) ).

tcf(c_14181,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_3449]) ).

tcf(c_14182,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_3159]) ).

tcf(c_14183,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11628,c_156]) ).

tcf(c_14185,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_8723]) ).

tcf(c_14187,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_12000]) ).

tcf(c_14191,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14187,c_52]) ).

tcf(c_14196,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14181,c_52]) ).

tcf(c_14201,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14179,c_4600]) ).

tcf(c_14202,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14182,c_52]) ).

tcf(c_14209,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14183,c_52]) ).

tcf(c_14217,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14180,c_52]) ).

tcf(c_14227,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_4655,c_53,c_52,c_157,c_4526,c_4655,c_6594,c_6926]) ).

tcf(c_14235,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14227,c_4722]) ).

tcf(c_14236,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14227,c_10179]) ).

tcf(c_14237,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14227,c_3449]) ).

tcf(c_14239,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14227,c_156]) ).

tcf(c_14242,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14237,c_53,c_7667]) ).

tcf(c_14248,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14239,c_53,c_7667]) ).

tcf(c_14259,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_52,c_7268]) ).

tcf(c_14260,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_53,c_7268]) ).

tcf(c_14261,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_54,c_7268]) ).

tcf(c_14262,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7667,c_7268]) ).

tcf(c_14263,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7268]) ).

tcf(c_14264,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7268]) ).

tcf(c_14265,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7268]) ).

tcf(c_14266,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7268]) ).

tcf(c_14267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7268]) ).

tcf(c_14268,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7554,c_7268]) ).

tcf(c_14269,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7442,c_7268]) ).

tcf(c_14270,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7341,c_7268]) ).

tcf(c_14271,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7232,c_7268]) ).

tcf(c_14272,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),
    inference(superposition,[status(thm)],[c_7121,c_7268]) ).

tcf(c_14287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14267,c_158]) ).

tcf(c_14370,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16)),c_2Ebool_2EF) = c_2Ebool_2EF ) ),
    inference(superposition,[status(thm)],[c_5631,c_7124]) ).

tcf(c_14373,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)),c_2Ebool_2EF) = c_2Ebool_2EF ) ),
    inference(superposition,[status(thm)],[c_13942,c_7125]) ).

tcf(c_14389,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_4722]) ).

tcf(c_14390,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11633,c_10179]) ).

tcf(c_14391,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_3449]) ).

tcf(c_14392,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_3159]) ).

tcf(c_14393,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11633,c_156]) ).

tcf(c_14394,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_5639]) ).

tcf(c_14395,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_4722]) ).

tcf(c_14396,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11633,c_10179]) ).

tcf(c_14397,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_3449]) ).

tcf(c_14398,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_3159]) ).

tcf(c_14399,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11633,c_156]) ).

tcf(c_14400,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_12084]) ).

tcf(c_14402,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_5558]) ).

tcf(c_14403,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_5514]) ).

tcf(c_14409,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14397,c_52]) ).

tcf(c_14424,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14395,c_4600]) ).

tcf(c_14425,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14391,c_52,c_53]) ).

tcf(c_14431,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14398,c_52]) ).

tcf(c_14438,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14389,c_4600]) ).

tcf(c_14439,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14399,c_52]) ).

tcf(c_14446,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14392,c_52,c_53]) ).

tcf(c_14453,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14393,c_52,c_53]) ).

tcf(c_14460,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14396,c_52]) ).

tcf(c_14468,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14390,c_52,c_53]) ).

tcf(c_14538,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_4722]) ).

tcf(c_14539,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11638,c_10179]) ).

tcf(c_14540,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_3449]) ).

tcf(c_14541,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_3159]) ).

tcf(c_14542,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11638,c_156]) ).

tcf(c_14543,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_12383]) ).

tcf(c_14544,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_8723]) ).

tcf(c_14550,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14540,c_52]) ).

tcf(c_14555,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14538,c_4600]) ).

tcf(c_14556,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14541,c_52]) ).

tcf(c_14563,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14542,c_52]) ).

tcf(c_14570,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14544,c_52,c_7667]) ).

tcf(c_14577,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14543,c_52,c_7667]) ).

tcf(c_14584,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14539,c_52]) ).

tcf(c_14641,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_13630]) ).

tcf(c_14642,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_4722]) ).

tcf(c_14643,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11645,c_10179]) ).

tcf(c_14644,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_3449]) ).

tcf(c_14645,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_3159]) ).

tcf(c_14646,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11645,c_156]) ).

tcf(c_14647,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_4722]) ).

tcf(c_14649,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_3449]) ).

tcf(c_14650,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_3159]) ).

tcf(c_14651,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_11645,c_156]) ).

tcf(c_14653,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_12000]) ).

tcf(c_14654,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_5558]) ).

tcf(c_14655,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_5514]) ).

tcf(c_14665,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14649,c_52]) ).

tcf(c_14680,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14647,c_4600]) ).

tcf(c_14682,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14650,c_52]) ).

tcf(c_14689,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14642,c_4600]) ).

tcf(c_14690,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14651,c_52]) ).

tcf(c_14697,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14645,c_52,c_54]) ).

tcf(c_14704,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14646,c_52,c_54]) ).

tcf(c_14711,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_14643,c_4602]) ).

tcf(c_14767,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_11688,c_13630]) ).

tcf(c_14769,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11688,c_10179]) ).

tcf(c_14771,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11688,c_3159]) ).

tcf(c_14772,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_11688,c_156]) ).

tcf(c_14776,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14771,c_52,c_54]) ).

tcf(c_14782,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14772,c_52,c_54]) ).

tcf(c_14788,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_14769,c_4602]) ).

tcf(c_14799,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_10179]) ).

tcf(c_14800,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_3449]) ).

tcf(c_14801,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_3159]) ).

tcf(c_14802,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_11777,c_156]) ).

tcf(c_14803,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_12084]) ).

tcf(c_14805,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_5558]) ).

tcf(c_14806,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11777,c_5514]) ).

tcf(c_14807,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14803,c_7667]) ).

tcf(c_14812,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14800,c_52,c_7667]) ).

tcf(c_14816,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14806,c_7667]) ).

tcf(c_14821,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14805,c_7667]) ).

tcf(c_14826,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14801,c_52,c_7667]) ).

tcf(c_14832,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14802,c_52,c_7667]) ).

tcf(c_14838,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14799,c_7738]) ).

tcf(c_14855,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_4722]) ).

tcf(c_14856,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12109,c_10179]) ).

tcf(c_14857,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_3449]) ).

tcf(c_14858,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_3159]) ).

tcf(c_14859,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_12109,c_156]) ).

tcf(c_14860,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_12383]) ).

tcf(c_14861,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_8723]) ).

tcf(c_14863,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_12000]) ).

tcf(c_14866,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_5639]) ).

tcf(c_14867,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_4722]) ).

tcf(c_14868,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12109,c_10179]) ).

tcf(c_14869,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_3449]) ).

tcf(c_14870,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_3159]) ).

tcf(c_14871,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_12109,c_156]) ).

tcf(c_14873,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_12000]) ).

tcf(c_14881,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14869,c_52]) ).

tcf(c_14887,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14866,c_53]) ).

tcf(c_14892,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_14867,c_4600]) ).

tcf(c_14894,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14855,c_53]) ).

tcf(c_14900,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14870,c_52]) ).

tcf(c_14907,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14858,c_53]) ).

tcf(c_14914,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14871,c_52]) ).

tcf(c_14921,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14859,c_53]) ).

tcf(c_14928,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14868,c_52]) ).

tcf(c_14936,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14861,c_53,c_7667]) ).

tcf(c_14943,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14860,c_53,c_7667]) ).

tcf(c_14950,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14856,c_53]) ).

tcf(c_15028,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_4722]) ).

tcf(c_15029,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12160,c_10179]) ).

tcf(c_15030,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_3449]) ).

tcf(c_15031,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_3159]) ).

tcf(c_15032,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_12160,c_156]) ).

tcf(c_15033,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_12383]) ).

tcf(c_15034,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_8723]) ).

tcf(c_15035,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_12084]) ).

tcf(c_15040,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_4722]) ).

tcf(c_15041,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12160,c_10179]) ).

tcf(c_15042,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_3449]) ).

tcf(c_15043,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_3159]) ).

tcf(c_15044,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_12160,c_156]) ).

tcf(c_15045,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_12084]) ).

tcf(c_15046,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_12000]) ).

tcf(c_15059,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15042,c_52]) ).

tcf(c_15065,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15040,c_4600]) ).

tcf(c_15067,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15028,c_54]) ).

tcf(c_15073,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15043,c_52]) ).

tcf(c_15080,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15031,c_54]) ).

tcf(c_15087,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15044,c_52]) ).

tcf(c_15094,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15032,c_54]) ).

tcf(c_15101,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15041,c_52]) ).

tcf(c_15109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15034,c_54,c_7667]) ).

tcf(c_15116,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15033,c_54,c_7667]) ).

tcf(c_15123,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15029,c_54]) ).

tcf(c_15200,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4728]) ).

tcf(c_15201,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4728]) ).

tcf(c_15208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_4728]) ).

tcf(c_15209,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_4728]) ).

tcf(c_15213,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3041,c_4728]) ).

tcf(c_15214,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11638,c_4728]) ).

tcf(c_15215,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_4728]) ).

tcf(c_15220,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4710,c_4728]) ).

tcf(c_15233,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_4728]) ).

tcf(c_15236,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4728]) ).

tcf(c_15239,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_4728]) ).

tcf(c_15240,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_4728]) ).

tcf(c_15242,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4728]) ).

tcf(c_15243,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4728]) ).

tcf(c_15245,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4728]) ).

tcf(c_15247,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4728]) ).

tcf(c_15248,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4728]) ).

tcf(c_15249,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13279,c_4728]) ).

tcf(c_15250,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11996,c_4728]) ).

tcf(c_15251,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8705,c_4728]) ).

tcf(c_15257,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10045,c_4728]) ).

tcf(c_15262,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15209,c_52]) ).

tcf(c_15273,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15240,c_4600]) ).

tcf(c_15274,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15233,c_4600]) ).

tcf(c_15276,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15242,c_52,c_54]) ).

tcf(c_15283,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15236,c_52,c_53]) ).

tcf(c_15290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15208,c_52]) ).

tcf(c_15298,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15200,c_52]) ).

tcf(c_15305,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15201,c_52]) ).

tcf(c_15320,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_52,c_7376]) ).

tcf(c_15321,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_53,c_7376]) ).

tcf(c_15322,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_54,c_7376]) ).

tcf(c_15323,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7667,c_7376]) ).

tcf(c_15324,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7376]) ).

tcf(c_15325,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7376]) ).

tcf(c_15326,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7376]) ).

tcf(c_15327,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7376]) ).

tcf(c_15328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7376]) ).

tcf(c_15329,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7554,c_7376]) ).

tcf(c_15330,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7376]) ).

tcf(c_15331,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7376]) ).

tcf(c_15332,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7232,c_7376]) ).

tcf(c_15333,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),
    inference(superposition,[status(thm)],[c_7121,c_7376]) ).

tcf(c_15348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15328,c_158]) ).

tcf(c_15425,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_4722]) ).

tcf(c_15426,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12207,c_10179]) ).

tcf(c_15427,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_3449]) ).

tcf(c_15428,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_3159]) ).

tcf(c_15429,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_12207,c_156]) ).

tcf(c_15430,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_4728]) ).

tcf(c_15431,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_12084]) ).

tcf(c_15432,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_12000]) ).

tcf(c_15433,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_5558]) ).

tcf(c_15434,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_5514]) ).

tcf(c_15439,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12207,c_10179]) ).

tcf(c_15440,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_3449]) ).

tcf(c_15441,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_3159]) ).

tcf(c_15442,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_12207,c_156]) ).

tcf(c_15444,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15432,c_54]) ).

tcf(c_15450,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15431,c_4602]) ).

tcf(c_15452,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15434,c_54]) ).

tcf(c_15458,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15433,c_4602]) ).

tcf(c_15459,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15441,c_54]) ).

tcf(c_15466,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15430,c_54]) ).

tcf(c_15473,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15425,c_4600]) ).

tcf(c_15474,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15442,c_54]) ).

tcf(c_15482,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15429,c_52,c_54]) ).

tcf(c_15489,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_15439,c_4602]) ).

tcf(c_15490,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15426,c_52,c_54]) ).

tcf(c_15537,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_4722]) ).

tcf(c_15538,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12293,c_10179]) ).

tcf(c_15539,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_3449]) ).

tcf(c_15540,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_3159]) ).

tcf(c_15541,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_12293,c_156]) ).

tcf(c_15542,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_5639]) ).

tcf(c_15545,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12293,c_10179]) ).

tcf(c_15546,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_3449]) ).

tcf(c_15547,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_3159]) ).

tcf(c_15548,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_12293,c_156]) ).

tcf(c_15549,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_12383]) ).

tcf(c_15550,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_8723]) ).

tcf(c_15559,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15542,c_52]) ).

tcf(c_15565,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15547,c_53]) ).

tcf(c_15572,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15537,c_4600]) ).

tcf(c_15573,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15548,c_53]) ).

tcf(c_15580,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15540,c_52,c_53]) ).

tcf(c_15587,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15541,c_52,c_53]) ).

tcf(c_15594,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15550,c_53,c_7667]) ).

tcf(c_15601,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15549,c_53,c_7667]) ).

tcf(c_15608,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15545,c_53]) ).

tcf(c_15616,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15538,c_52,c_53]) ).

tcf(c_15683,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_4722]) ).

tcf(c_15684,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12899,c_10179]) ).

tcf(c_15685,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_3449]) ).

tcf(c_15686,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_3159]) ).

tcf(c_15687,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_12899,c_156]) ).

tcf(c_15688,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_4728]) ).

tcf(c_15689,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_12084]) ).

tcf(c_15690,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_12000]) ).

tcf(c_15691,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_5558]) ).

tcf(c_15692,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_5514]) ).

tcf(c_15694,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_12899,c_10179]) ).

tcf(c_15695,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_3449]) ).

tcf(c_15696,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_3159]) ).

tcf(c_15697,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_12899,c_156]) ).

tcf(c_15698,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_5639]) ).

tcf(c_15705,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15690,c_4601]) ).

tcf(c_15706,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15689,c_53]) ).

tcf(c_15713,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15692,c_4601]) ).

tcf(c_15714,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15691,c_53]) ).

tcf(c_15720,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15696,c_53]) ).

tcf(c_15727,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15688,c_53]) ).

tcf(c_15734,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15683,c_4600]) ).

tcf(c_15735,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15697,c_53]) ).

tcf(c_15743,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15687,c_52,c_53]) ).

tcf(c_15750,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15694,c_53]) ).

tcf(c_15758,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15684,c_52,c_53]) ).

tcf(c_15805,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_4722]) ).

tcf(c_15806,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13135,c_10179]) ).

tcf(c_15807,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_3449]) ).

tcf(c_15808,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_3159]) ).

tcf(c_15809,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13135,c_156]) ).

tcf(c_15812,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_3449]) ).

tcf(c_15813,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_3159]) ).

tcf(c_15814,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_13135,c_156]) ).

tcf(c_15815,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_12383]) ).

tcf(c_15816,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_8723]) ).

tcf(c_15822,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_5639]) ).

tcf(c_15825,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15822,c_4602]) ).

tcf(c_15826,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15813,c_54]) ).

tcf(c_15833,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15805,c_4600]) ).

tcf(c_15834,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15814,c_54]) ).

tcf(c_15841,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15808,c_52,c_54]) ).

tcf(c_15848,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15809,c_52,c_54]) ).

tcf(c_15855,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15815,c_54,c_7667]) ).

tcf(c_15861,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15816,c_54,c_7667]) ).

tcf(c_15868,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_15806,c_4602]) ).

tcf(c_15908,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13206,c_3449]) ).

tcf(c_15909,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13206,c_3159]) ).

tcf(c_15910,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_13206,c_156]) ).

tcf(c_15912,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15908,c_52,c_53]) ).

tcf(c_15916,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15909,c_52,c_53]) ).

tcf(c_15922,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15910,c_52,c_53]) ).

tcf(c_15980,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_4722]) ).

tcf(c_15981,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13300,c_10179]) ).

tcf(c_15982,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_3449]) ).

tcf(c_15983,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_3159]) ).

tcf(c_15984,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_13300,c_156]) ).

tcf(c_15985,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_4728]) ).

tcf(c_15986,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_12084]) ).

tcf(c_15987,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_12000]) ).

tcf(c_15988,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_5558]) ).

tcf(c_15989,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_5514]) ).

tcf(c_15991,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13300,c_10179]) ).

tcf(c_15992,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_3449]) ).

tcf(c_15993,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_3159]) ).

tcf(c_15994,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_13300,c_156]) ).

tcf(c_15995,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_5639]) ).

tcf(c_15996,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15992,c_53]) ).

tcf(c_16006,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15987,c_4601]) ).

tcf(c_16007,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15986,c_53]) ).

tcf(c_16014,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15989,c_4601]) ).

tcf(c_16015,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15988,c_53]) ).

tcf(c_16021,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15993,c_53]) ).

tcf(c_16028,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15985,c_53]) ).

tcf(c_16035,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_15980,c_4600]) ).

tcf(c_16036,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15994,c_53]) ).

tcf(c_16044,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15984,c_52,c_53]) ).

tcf(c_16051,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15991,c_53]) ).

tcf(c_16059,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15981,c_52,c_53]) ).

tcf(c_16085,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13680,c_13498]) ).

tcf(c_16091,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_4722]) ).

tcf(c_16092,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13498,c_10179]) ).

tcf(c_16093,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_3449]) ).

tcf(c_16094,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_3159]) ).

tcf(c_16095,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_13498,c_156]) ).

tcf(c_16096,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_4728]) ).

tcf(c_16097,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_12084]) ).

tcf(c_16098,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_12000]) ).

tcf(c_16099,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_5558]) ).

tcf(c_16100,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_5514]) ).

tcf(c_16101,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_13558]) ).

tcf(c_16102,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_13630]) ).

tcf(c_16103,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_49]) ).

tcf(c_16105,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13498,c_10179]) ).

tcf(c_16106,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_3449]) ).

tcf(c_16107,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_3159]) ).

tcf(c_16108,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_13498,c_156]) ).

tcf(c_16109,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16102,c_4600]) ).

tcf(c_16110,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16109,c_52]) ).

tcf(c_16114,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16101,c_53]) ).

tcf(c_16118,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16085,c_4600]) ).

tcf(c_16120,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16106,c_54]) ).

tcf(c_16125,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16098,c_54]) ).

tcf(c_16131,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16097,c_4602]) ).

tcf(c_16133,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16100,c_54]) ).

tcf(c_16139,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16099,c_4602]) ).

tcf(c_16140,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16107,c_54]) ).

tcf(c_16147,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16096,c_54]) ).

tcf(c_16154,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16091,c_4600]) ).

tcf(c_16155,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16108,c_54]) ).

tcf(c_16162,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16103,c_7667]) ).

tcf(c_16168,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16095,c_52,c_54]) ).

tcf(c_16175,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_16105,c_4602]) ).

tcf(c_16176,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16092,c_52,c_54]) ).

tcf(c_16330,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_52,c_7478]) ).

tcf(c_16331,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_53,c_7478]) ).

tcf(c_16332,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_54,c_7478]) ).

tcf(c_16333,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7667,c_7478]) ).

tcf(c_16334,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7478]) ).

tcf(c_16335,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7478]) ).

tcf(c_16336,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7478]) ).

tcf(c_16337,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7478]) ).

tcf(c_16338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7478]) ).

tcf(c_16339,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7554,c_7478]) ).

tcf(c_16340,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7442,c_7478]) ).

tcf(c_16341,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7341,c_7478]) ).

tcf(c_16342,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7232,c_7478]) ).

tcf(c_16343,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),
    inference(superposition,[status(thm)],[c_7121,c_7478]) ).

tcf(c_16358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16338,c_158]) ).

tcf(c_16377,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16)),c_2Ebool_2EF) = c_2Ebool_2EF ) ),
    inference(superposition,[status(thm)],[c_5550,c_7235]) ).

tcf(c_16383,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18)),c_2Ebool_2EF) = c_2Ebool_2EF ) ),
    inference(superposition,[status(thm)],[c_14012,c_7237]) ).

tcf(c_16394,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_16114,c_10179]) ).

tcf(c_16396,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_16114,c_3159]) ).

tcf(c_16397,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_16114,c_156]) ).

tcf(c_16398,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_16114,c_4728]) ).

tcf(c_16399,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_16114,c_12084]) ).

tcf(c_16400,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_16114,c_12000]) ).

tcf(c_16402,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_16114,c_5514]) ).

tcf(c_16403,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16400,c_54]) ).

tcf(c_16408,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16399,c_4602]) ).

tcf(c_16409,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16402,c_54]) ).

tcf(c_16414,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16398,c_54]) ).

tcf(c_16421,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16397,c_52,c_54]) ).

tcf(c_16443,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_4722]) ).

tcf(c_16444,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13613,c_10179]) ).

tcf(c_16445,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_3449]) ).

tcf(c_16446,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_3159]) ).

tcf(c_16447,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_13613,c_156]) ).

tcf(c_16448,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12383]) ).

tcf(c_16449,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_8723]) ).

tcf(c_16450,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_4728]) ).

tcf(c_16451,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12084]) ).

tcf(c_16452,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12000]) ).

tcf(c_16453,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_5558]) ).

tcf(c_16454,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_5514]) ).

tcf(c_16456,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_4722]) ).

tcf(c_16457,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13613,c_10179]) ).

tcf(c_16458,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_3449]) ).

tcf(c_16459,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_3159]) ).

tcf(c_16460,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_13613,c_156]) ).

tcf(c_16462,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16458,c_53]) ).

tcf(c_16467,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16445,c_54]) ).

tcf(c_16472,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16456,c_53]) ).

tcf(c_16478,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16452,c_52,c_54]) ).

tcf(c_16483,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16451,c_4602]) ).

tcf(c_16485,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16454,c_52,c_54]) ).

tcf(c_16490,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16453,c_4602]) ).

tcf(c_16491,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16459,c_53]) ).

tcf(c_16499,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16446,c_54]) ).

tcf(c_16506,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16460,c_53]) ).

tcf(c_16513,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16447,c_54]) ).

tcf(c_16520,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16457,c_53]) ).

tcf(c_16528,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16449,c_54,c_7667]) ).

tcf(c_16535,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16448,c_54,c_7667]) ).

tcf(c_16542,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16444,c_54]) ).

tcf(c_16597,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_11184]) ).

tcf(c_16603,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_4808]) ).

tcf(c_16604,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13619,c_9335]) ).

tcf(c_16614,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_3590]) ).

tcf(c_16623,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_11623]) ).

tcf(c_16624,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_11612]) ).

tcf(c_16633,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_4808]) ).

tcf(c_16637,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_4710]) ).

tcf(c_16638,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_13300]) ).

tcf(c_16639,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13619,c_12899]) ).

tcf(c_16644,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),sK17) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) ) ),
    inference(superposition,[status(thm)],[c_13619,c_3677]) ).

tcf(c_16645,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) = sK17 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_16644,c_3975]) ).

tcf(c_16649,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16624,c_4601]) ).

tcf(c_16650,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16623,c_174,c_53]) ).

tcf(c_16655,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16639,c_174]) ).

tcf(c_16661,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16638,c_174]) ).

tcf(c_16669,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16603,c_4601]) ).

tcf(c_16671,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16597,c_174,c_52,c_53]) ).

tcf(c_16688,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_7977]) ).

tcf(c_16693,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_4808]) ).

tcf(c_16694,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13685,c_9335]) ).

tcf(c_16704,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_3590]) ).

tcf(c_16708,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_11617]) ).

tcf(c_16712,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_4710]) ).

tcf(c_16718,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_13300]) ).

tcf(c_16726,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_4808]) ).

tcf(c_16727,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_13685,c_13206]) ).

tcf(c_16728,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_12293]) ).

tcf(c_16729,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2EF)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13685,c_11633]) ).

tcf(c_16740,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),sK18) = ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) ) ),
    inference(superposition,[status(thm)],[c_13685,c_3704]) ).

tcf(c_16741,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17) = sK18 )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_16740,c_4031]) ).

tcf(c_16745,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16708,c_4601]) ).

tcf(c_16746,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16729,c_174]) ).

tcf(c_16752,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16728,c_174]) ).

tcf(c_16758,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16727,c_174]) ).

tcf(c_16763,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16718,c_4600]) ).

tcf(c_16764,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16763,c_174,c_52]) ).

tcf(c_16771,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16693,c_4601]) ).

tcf(c_16773,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16688,c_174,c_52,c_53]) ).

tcf(c_16789,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12114]) ).

tcf(c_16790,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_12114]) ).

tcf(c_16792,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12114]) ).

tcf(c_16793,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12114]) ).

tcf(c_16798,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_12114]) ).

tcf(c_16800,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_12114]) ).

tcf(c_16818,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12114]) ).

tcf(c_16822,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12114]) ).

tcf(c_16823,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_12114]) ).

tcf(c_16824,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_12114]) ).

tcf(c_16830,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12114]) ).

tcf(c_16832,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_12114]) ).

tcf(c_16835,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_12114]) ).

tcf(c_16842,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_12114]) ).

tcf(c_16843,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_12114]) ).

tcf(c_16853,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7669,c_12114]) ).

tcf(c_16858,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10126,c_12114]) ).

tcf(c_16859,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16798,c_53]) ).

tcf(c_16864,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16853,c_7667]) ).

tcf(c_16884,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16793,c_4601]) ).

tcf(c_16885,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16792,c_53]) ).

tcf(c_16891,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16843,c_4600]) ).

tcf(c_16892,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16842,c_4600]) ).

tcf(c_16893,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16832,c_54,c_53]) ).

tcf(c_16898,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16830,c_4601]) ).

tcf(c_16899,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16858,c_172,c_7667]) ).

tcf(c_16904,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16790,c_53]) ).

tcf(c_16929,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7057,c_12165]) ).

tcf(c_16930,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_12165]) ).

tcf(c_16932,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_12165]) ).

tcf(c_16944,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12165]) ).

tcf(c_16945,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_12165]) ).

tcf(c_16947,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12165]) ).

tcf(c_16948,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12165]) ).

tcf(c_16953,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_12165]) ).

tcf(c_16955,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_12165]) ).

tcf(c_16958,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_12165]) ).

tcf(c_16959,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_12165]) ).

tcf(c_16961,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_12165]) ).

tcf(c_16962,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_12165]) ).

tcf(c_16967,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_12165]) ).

tcf(c_16985,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_12165]) ).

tcf(c_16989,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_12165]) ).

tcf(c_16993,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_12165]) ).

tcf(c_16994,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_12165]) ).

tcf(c_17005,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9058,c_12165]) ).

tcf(c_17008,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17005,c_172,c_7667]) ).

tcf(c_17011,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16953,c_54]) ).

tcf(c_17016,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16989,c_54]) ).

tcf(c_17038,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16947,c_4602]) ).

tcf(c_17039,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16929,c_53]) ).

tcf(c_17044,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16932,c_4600]) ).

tcf(c_17045,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16930,c_4600]) ).

tcf(c_17062,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16945,c_4602]) ).

tcf(c_17063,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_16944,c_4602]) ).

tcf(c_17183,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13483,c_13833]) ).

tcf(c_17188,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_13833]) ).

tcf(c_17190,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_13833]) ).

tcf(c_17192,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_13833]) ).

tcf(c_17196,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8564,c_13833]) ).

tcf(c_17202,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13833]) ).

tcf(c_17203,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_13833]) ).

tcf(c_17205,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_13833]) ).

tcf(c_17206,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_13833]) ).

tcf(c_17211,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_13833]) ).

tcf(c_17213,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_13833]) ).

tcf(c_17216,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_13833]) ).

tcf(c_17217,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_13833]) ).

tcf(c_17219,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_13833]) ).

tcf(c_17225,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_13833]) ).

tcf(c_17239,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_13833]) ).

tcf(c_17241,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_13833]) ).

tcf(c_17243,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_13833]) ).

tcf(c_17251,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_13833]) ).

tcf(c_17252,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_13833]) ).

tcf(c_17263,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_9058,c_13833]) ).

tcf(c_17264,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8937,c_13833]) ).

tcf(c_17266,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17264,c_172,c_7667]) ).

tcf(c_17269,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17211,c_54]) ).

tcf(c_17284,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17183,c_4601]) ).

tcf(c_17285,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17251,c_54]) ).

tcf(c_17291,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17241,c_4601]) ).

tcf(c_17292,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17206,c_54]) ).

tcf(c_17298,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17205,c_4602]) ).

tcf(c_17299,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17196,c_52]) ).

tcf(c_17305,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17239,c_4601]) ).

tcf(c_17306,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17190,c_52]) ).

tcf(c_17312,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17188,c_52]) ).

tcf(c_17318,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17263,c_172,c_7667]) ).

tcf(c_17322,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17243,c_4601]) ).

tcf(c_17338,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17203,c_4602]) ).

tcf(c_17339,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17202,c_4602]) ).

tcf(c_17363,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_4739,c_53,c_52,c_157,c_4526,c_4739,c_6594,c_6926]) ).

tcf(c_17376,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_4722]) ).

tcf(c_17377,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_10179]) ).

tcf(c_17378,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_3449]) ).

tcf(c_17379,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_3159]) ).

tcf(c_17380,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_156]) ).

tcf(c_17383,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17378,c_7667]) ).

tcf(c_17389,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17376,c_7667]) ).

tcf(c_17396,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17379,c_7667]) ).

tcf(c_17404,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17377,c_7667]) ).

tcf(c_17411,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17380,c_7667]) ).

tcf(c_17426,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_52,c_7589]) ).

tcf(c_17427,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_53,c_7589]) ).

tcf(c_17428,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_54,c_7589]) ).

tcf(c_17429,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7589]) ).

tcf(c_17430,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7589]) ).

tcf(c_17431,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7589]) ).

tcf(c_17432,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7589]) ).

tcf(c_17433,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7589]) ).

tcf(c_17434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7589]) ).

tcf(c_17435,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7589]) ).

tcf(c_17436,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7442,c_7589]) ).

tcf(c_17437,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7341,c_7589]) ).

tcf(c_17438,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7232,c_7589]) ).

tcf(c_17439,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),
    inference(superposition,[status(thm)],[c_7121,c_7589]) ).

tcf(c_17454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17434,c_158]) ).

tcf(c_17488,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17008,c_10179]) ).

tcf(c_17490,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17008,c_3159]) ).

tcf(c_17491,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_17008,c_156]) ).

tcf(c_17499,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17488,c_7738]) ).

tcf(c_17506,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17266,c_10179]) ).

tcf(c_17508,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17266,c_3159]) ).

tcf(c_17509,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) ),
    inference(superposition,[status(thm)],[c_17266,c_156]) ).

tcf(c_17514,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17506,c_7738]) ).

tcf(c_17521,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17)) ),
    inference(global_subsumption_just,[status(thm)],[c_13503,c_54,c_53,c_4332]) ).

tcf(c_17522,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(renaming,[status(thm)],[c_17521]) ).

tcf(c_17531,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17522,c_10179]) ).

tcf(c_17533,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17522,c_3159]) ).

tcf(c_17534,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_17522,c_156]) ).

tcf(c_17535,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17522,c_13833]) ).

tcf(c_17537,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17535,c_4601]) ).

tcf(c_17538,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17533,c_54,c_53]) ).

tcf(c_17543,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17534,c_54,c_53]) ).

tcf(c_17548,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_17531,c_4602]) ).

tcf(c_17563,plain,
    ( p(c_2Ebool_2EF)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13606,c_17538]) ).

tcf(c_17572,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_4722]) ).

tcf(c_17573,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17538,c_10179]) ).

tcf(c_17574,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_3449]) ).

tcf(c_17575,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_3159]) ).

tcf(c_17576,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_17538,c_156]) ).

tcf(c_17577,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_12383]) ).

tcf(c_17579,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_13833]) ).

tcf(c_17581,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_4728]) ).

tcf(c_17585,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_5514]) ).

tcf(c_17586,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_12114]) ).

tcf(c_17591,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_4722]) ).

tcf(c_17592,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17538,c_10179]) ).

tcf(c_17593,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_3449]) ).

tcf(c_17594,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17538,c_3159]) ).

tcf(c_17595,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_17538,c_156]) ).

tcf(c_17598,plain,
    ( p(c_2Ebool_2EF)
    | p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17563,c_4601]) ).

tcf(c_17599,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17593,c_54]) ).

tcf(c_17604,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17574,c_53]) ).

tcf(c_17609,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17586,c_53]) ).

tcf(c_17614,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17591,c_54]) ).

tcf(c_17621,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17585,c_4601]) ).

tcf(c_17623,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17594,c_54]) ).

tcf(c_17631,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17575,c_53]) ).

tcf(c_17638,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17595,c_54]) ).

tcf(c_17645,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17576,c_53]) ).

tcf(c_17652,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_17592,c_4602]) ).

tcf(c_17653,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17577,c_53,c_7667]) ).

tcf(c_17660,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17573,c_53]) ).

tcf(c_17699,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_17543]) ).

tcf(c_17704,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_17543]) ).

tcf(c_17705,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_155,c_17543]) ).

tcf(c_17706,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_17543]) ).

tcf(c_17723,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_17543]) ).

tcf(c_17738,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_17543]) ).

tcf(c_17740,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_17543]) ).

tcf(c_17741,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_17543]) ).

tcf(c_17742,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_17543]) ).

tcf(c_17749,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_17543]) ).

tcf(c_17750,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_17543]) ).

tcf(c_17754,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_17543]) ).

tcf(c_17760,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17266,c_17543]) ).

tcf(c_17768,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17723,c_53]) ).

tcf(c_17773,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17704,c_53]) ).

tcf(c_17778,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17760,c_7667]) ).

tcf(c_17783,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17740,c_4602]) ).

tcf(c_17784,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17699,c_4601]) ).

tcf(c_17785,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17750,c_52]) ).

tcf(c_17791,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17749,c_52]) ).

tcf(c_17797,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17738,c_4602]) ).

tcf(c_17798,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17741,c_4602]) ).

tcf(c_17800,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_17742,c_4602]) ).

tcf(c_17817,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_4722]) ).

tcf(c_17818,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17599,c_10179]) ).

tcf(c_17819,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_3449]) ).

tcf(c_17820,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_3159]) ).

tcf(c_17821,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_17599,c_156]) ).

tcf(c_17822,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_12383]) ).

tcf(c_17828,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_12000]) ).

tcf(c_17830,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_5514]) ).

tcf(c_17834,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17819,c_53]) ).

tcf(c_17839,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17828,c_4601]) ).

tcf(c_17840,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17817,c_53]) ).

tcf(c_17846,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17830,c_4601]) ).

tcf(c_17847,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17820,c_53]) ).

tcf(c_17854,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17821,c_53]) ).

tcf(c_17862,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17818,c_53]) ).

tcf(c_17889,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_4722]) ).

tcf(c_17890,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17604,c_10179]) ).

tcf(c_17891,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_3449]) ).

tcf(c_17892,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_3159]) ).

tcf(c_17893,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_17604,c_156]) ).

tcf(c_17894,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_17543]) ).

tcf(c_17895,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_12114]) ).

tcf(c_17896,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_5639]) ).

tcf(c_17900,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_4722]) ).

tcf(c_17901,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17604,c_10179]) ).

tcf(c_17902,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_3449]) ).

tcf(c_17903,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_3159]) ).

tcf(c_17904,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_17604,c_156]) ).

tcf(c_17905,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_13833]) ).

tcf(c_17906,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_12165]) ).

tcf(c_17919,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17894,c_4602]) ).

tcf(c_17921,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_17896,c_4602]) ).

tcf(c_17922,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17895,c_54]) ).

tcf(c_17928,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17903,c_54]) ).

tcf(c_17936,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17904,c_54]) ).

tcf(c_17943,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17892,c_54,c_53]) ).

tcf(c_17950,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17893,c_54,c_53]) ).

tcf(c_17957,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_17901,c_4602]) ).

tcf(c_17958,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17890,c_54,c_53]) ).

tcf(c_18026,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_4722]) ).

tcf(c_18027,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17773,c_10179]) ).

tcf(c_18028,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_3449]) ).

tcf(c_18029,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_3159]) ).

tcf(c_18030,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_17773,c_156]) ).

tcf(c_18031,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_17543]) ).

tcf(c_18032,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_12114]) ).

tcf(c_18033,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_5639]) ).

tcf(c_18035,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_13630]) ).

tcf(c_18036,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_49]) ).

tcf(c_18037,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_4722]) ).

tcf(c_18038,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17773,c_10179]) ).

tcf(c_18039,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_3449]) ).

tcf(c_18040,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_3159]) ).

tcf(c_18041,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_17773,c_156]) ).

tcf(c_18042,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_13833]) ).

tcf(c_18043,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_12165]) ).

tcf(c_18044,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18035,c_52]) ).

tcf(c_18048,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18039,c_54]) ).

tcf(c_18063,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18037,c_54]) ).

tcf(c_18069,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_18031,c_4602]) ).

tcf(c_18071,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_18033,c_4602]) ).

tcf(c_18072,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18032,c_54]) ).

tcf(c_18078,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18040,c_54]) ).

tcf(c_18085,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18026,c_54,c_53]) ).

tcf(c_18091,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18041,c_54]) ).

tcf(c_18098,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18036,c_7667]) ).

tcf(c_18103,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18029,c_54,c_53]) ).

tcf(c_18110,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18030,c_54,c_53]) ).

tcf(c_18117,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_18038,c_4602]) ).

tcf(c_18118,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18027,c_54,c_53]) ).

tcf(c_19989,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_18044,c_10179]) ).

tcf(c_19991,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_18044,c_3159]) ).

tcf(c_19992,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_18044,c_156]) ).

tcf(c_19996,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19991,c_54,c_53]) ).

tcf(c_20002,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19992,c_54,c_53]) ).

tcf(c_20008,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19989,c_54,c_53]) ).

tcf(c_20023,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_52,c_7764]) ).

tcf(c_20024,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_53,c_7764]) ).

tcf(c_20025,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_54,c_7764]) ).

tcf(c_20026,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7667,c_7764]) ).

tcf(c_20027,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_7764]) ).

tcf(c_20028,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_7764]) ).

tcf(c_20029,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_7764]) ).

tcf(c_20030,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_7764]) ).

tcf(c_20031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_7764]) ).

tcf(c_20032,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7554,c_7764]) ).

tcf(c_20033,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7442,c_7764]) ).

tcf(c_20034,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7341,c_7764]) ).

tcf(c_20035,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7232,c_7764]) ).

tcf(c_20036,plain,
    ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),
    inference(superposition,[status(thm)],[c_7121,c_7764]) ).

tcf(c_20051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18) )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20031,c_158]) ).

tcf(c_20109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13135,c_13545]) ).

tcf(c_20110,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11688,c_13545]) ).

tcf(c_20111,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11645,c_13545]) ).

tcf(c_20112,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13284,c_13545]) ).

tcf(c_20113,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11623,c_13545]) ).

tcf(c_20114,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11604,c_13545]) ).

tcf(c_20116,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9047,c_13545]) ).

tcf(c_20117,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8564,c_13545]) ).

tcf(c_20118,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8568,c_13545]) ).

tcf(c_20119,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6962,c_13545]) ).

tcf(c_20120,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7044,c_13545]) ).

tcf(c_20121,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11184,c_13545]) ).

tcf(c_20124,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_13545]) ).

tcf(c_20125,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4808,c_13545]) ).

tcf(c_20126,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_13545]) ).

tcf(c_20127,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_13545]) ).

tcf(c_20128,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4462,c_13545]) ).

tcf(c_20130,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3436,c_13545]) ).

tcf(c_20131,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_155,c_13545]) ).

tcf(c_20132,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3590,c_13545]) ).

tcf(c_20134,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17773,c_13545]) ).

tcf(c_20135,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17604,c_13545]) ).

tcf(c_20136,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17538,c_13545]) ).

tcf(c_20137,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13498,c_13545]) ).

tcf(c_20139,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_13545]) ).

tcf(c_20140,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11184,c_13545]) ).

tcf(c_20141,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8573,c_13545]) ).

tcf(c_20142,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8347,c_13545]) ).

tcf(c_20143,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7061,c_13545]) ).

tcf(c_20144,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5634,c_13545]) ).

tcf(c_20145,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5553,c_13545]) ).

tcf(c_20147,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4892,c_13545]) ).

tcf(c_20148,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4670,c_13545]) ).

tcf(c_20149,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11638,c_13545]) ).

tcf(c_20151,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11617,c_13545]) ).

tcf(c_20152,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_13545]) ).

tcf(c_20154,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8237,c_13545]) ).

tcf(c_20155,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_13545]) ).

tcf(c_20156,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5553,c_13545]) ).

tcf(c_20157,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5509,c_13545]) ).

tcf(c_20158,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4698,c_13545]) ).

tcf(c_20159,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4629,c_13545]) ).

tcf(c_20160,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_13545]) ).

tcf(c_20162,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7931,c_13545]) ).

tcf(c_20163,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5460,c_13545]) ).

tcf(c_20191,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20152,c_4602]) ).

tcf(c_20193,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20139,c_4600]) ).

tcf(c_20195,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20130,c_52,c_54]) ).

tcf(c_20210,plain,
    ( p(c_2Ebool_2ET)
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20156,c_4602]) ).

tcf(c_20212,plain,
    ( p(c_2Ebool_2ET)
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20145,c_4600]) ).

tcf(c_20214,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20137,c_4600]) ).

tcf(c_20215,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20214,c_52]) ).

tcf(c_20221,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20134,c_52]) ).

tcf(c_20244,plain,
    ( ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20143,c_4600]) ).

tcf(c_20247,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20141,c_52]) ).

tcf(c_20252,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20127,c_4600]) ).

tcf(c_20256,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20140,c_52]) ).

tcf(c_20263,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20121,c_4602]) ).

tcf(c_20327,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_14196]) ).

tcf(c_20328,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_14196]) ).

tcf(c_20329,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_14196]) ).

tcf(c_20330,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK16) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_14196]) ).

tcf(c_20331,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_14196]) ).

tcf(c_20332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_14196]) ).

tcf(c_20333,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_14196]) ).

tcf(c_20334,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_14196]) ).

tcf(c_20335,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_14196]) ).

tcf(c_20336,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_14196]) ).

tcf(c_20337,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK16) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_14196]) ).

tcf(c_20378,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK16) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20332,c_158]) ).

tcf(c_20415,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13135,c_14242]) ).

tcf(c_20417,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11645,c_14242]) ).

tcf(c_20418,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13284,c_14242]) ).

tcf(c_20419,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11623,c_14242]) ).

tcf(c_20420,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11604,c_14242]) ).

tcf(c_20421,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_10034,c_14242]) ).

tcf(c_20422,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9047,c_14242]) ).

tcf(c_20423,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8564,c_14242]) ).

tcf(c_20424,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8568,c_14242]) ).

tcf(c_20425,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_6962,c_14242]) ).

tcf(c_20426,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7044,c_14242]) ).

tcf(c_20427,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11184,c_14242]) ).

tcf(c_20430,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_14242]) ).

tcf(c_20431,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4808,c_14242]) ).

tcf(c_20432,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_14242]) ).

tcf(c_20433,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_14242]) ).

tcf(c_20434,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4462,c_14242]) ).

tcf(c_20436,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3436,c_14242]) ).

tcf(c_20437,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_155,c_14242]) ).

tcf(c_20438,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_3590,c_14242]) ).

tcf(c_20440,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17773,c_14242]) ).

tcf(c_20441,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17604,c_14242]) ).

tcf(c_20442,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_17538,c_14242]) ).

tcf(c_20443,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_13498,c_14242]) ).

tcf(c_20445,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_14242]) ).

tcf(c_20446,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11184,c_14242]) ).

tcf(c_20447,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8573,c_14242]) ).

tcf(c_20448,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8347,c_14242]) ).

tcf(c_20449,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7061,c_14242]) ).

tcf(c_20450,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5634,c_14242]) ).

tcf(c_20451,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5553,c_14242]) ).

tcf(c_20453,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4892,c_14242]) ).

tcf(c_20454,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4670,c_14242]) ).

tcf(c_20455,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11638,c_14242]) ).

tcf(c_20457,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11617,c_14242]) ).

tcf(c_20458,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_11607,c_14242]) ).

tcf(c_20460,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_8237,c_14242]) ).

tcf(c_20461,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4710,c_14242]) ).

tcf(c_20462,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5553,c_14242]) ).

tcf(c_20463,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5509,c_14242]) ).

tcf(c_20464,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4698,c_14242]) ).

tcf(c_20465,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4629,c_14242]) ).

tcf(c_20466,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_4896,c_14242]) ).

tcf(c_20468,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_7931,c_14242]) ).

tcf(c_20469,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_5460,c_14242]) ).

tcf(c_20500,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20458,c_4602]) ).

tcf(c_20502,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20445,c_4600]) ).

tcf(c_20504,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20436,c_52,c_54]) ).

tcf(c_20519,plain,
    ( p(c_2Ebool_2ET)
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20462,c_4602]) ).

tcf(c_20521,plain,
    ( p(c_2Ebool_2ET)
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20451,c_4600]) ).

tcf(c_20523,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20443,c_4600]) ).

tcf(c_20524,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20523,c_52]) ).

tcf(c_20530,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20440,c_52]) ).

tcf(c_20549,plain,
    ( ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20449,c_4600]) ).

tcf(c_20552,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20447,c_52]) ).

tcf(c_20557,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20433,c_4600]) ).

tcf(c_20561,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20446,c_52]) ).

tcf(c_20568,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_20427,c_4602]) ).

tcf(c_20623,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_14409]) ).

tcf(c_20624,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_14409]) ).

tcf(c_20625,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_14409]) ).

tcf(c_20626,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_14409]) ).

tcf(c_20627,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_14409]) ).

tcf(c_20628,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_14409]) ).

tcf(c_20629,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_14409]) ).

tcf(c_20630,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_14409]) ).

tcf(c_20631,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_14409]) ).

tcf(c_20632,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_14409]) ).

tcf(c_20633,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_14409]) ).

tcf(c_20674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20628,c_158]) ).

tcf(c_20734,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_14425,c_10179]) ).

tcf(c_20735,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_3449]) ).

tcf(c_20736,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_3159]) ).

tcf(c_20737,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_14425,c_156]) ).

tcf(c_20738,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_4728]) ).

tcf(c_20740,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_12000]) ).

tcf(c_20741,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_5558]) ).

tcf(c_20748,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20735,c_52]) ).

tcf(c_20765,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20737,c_52]) ).

tcf(c_20772,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20734,c_52]) ).

tcf(c_20796,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_14550]) ).

tcf(c_20797,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_14550]) ).

tcf(c_20798,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_14550]) ).

tcf(c_20799,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_14550]) ).

tcf(c_20800,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_14550]) ).

tcf(c_20801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_14550]) ).

tcf(c_20802,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_14550]) ).

tcf(c_20803,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_14550]) ).

tcf(c_20804,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_14550]) ).

tcf(c_20805,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_14550]) ).

tcf(c_20806,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_14550]) ).

tcf(c_20847,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20801,c_158]) ).

tcf(c_20902,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_14665]) ).

tcf(c_20903,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_14665]) ).

tcf(c_20904,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_14665]) ).

tcf(c_20905,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_14665]) ).

tcf(c_20906,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_14665]) ).

tcf(c_20907,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_14665]) ).

tcf(c_20908,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_14665]) ).

tcf(c_20909,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_14665]) ).

tcf(c_20910,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_14665]) ).

tcf(c_20911,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_14665]) ).

tcf(c_20912,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_14665]) ).

tcf(c_20953,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20907,c_158]) ).

tcf(c_21001,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13483,c_4820]) ).

tcf(c_21002,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10116,c_4820]) ).

tcf(c_21003,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8927,c_4820]) ).

tcf(c_21004,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8560,c_4820]) ).

tcf(c_21005,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7057,c_4820]) ).

tcf(c_21006,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_4820]) ).

tcf(c_21008,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_4820]) ).

tcf(c_21010,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11623,c_4820]) ).

tcf(c_21020,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4820]) ).

tcf(c_21021,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4820]) ).

tcf(c_21023,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4820]) ).

tcf(c_21024,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4820]) ).

tcf(c_21025,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4820]) ).

tcf(c_21027,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4462,c_4820]) ).

tcf(c_21028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_4820]) ).

tcf(c_21029,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_4820]) ).

tcf(c_21034,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17363,c_4820]) ).

tcf(c_21038,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_4820]) ).

tcf(c_21039,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_4820]) ).

tcf(c_21040,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11607,c_4820]) ).

tcf(c_21041,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4820]) ).

tcf(c_21042,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8573,c_4820]) ).

tcf(c_21043,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8347,c_4820]) ).

tcf(c_21044,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7061,c_4820]) ).

tcf(c_21045,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5634,c_4820]) ).

tcf(c_21046,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5553,c_4820]) ).

tcf(c_21047,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4820]) ).

tcf(c_21048,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4892,c_4820]) ).

tcf(c_21049,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4820]) ).

tcf(c_21051,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11628,c_4820]) ).

tcf(c_21054,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8287,c_4820]) ).

tcf(c_21055,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8237,c_4820]) ).

tcf(c_21060,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4629,c_4820]) ).

tcf(c_21061,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14425,c_4820]) ).

tcf(c_21062,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12160,c_4820]) ).

tcf(c_21063,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12109,c_4820]) ).

tcf(c_21064,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11645,c_4820]) ).

tcf(c_21070,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_4820]) ).

tcf(c_21072,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_4820]) ).

tcf(c_21074,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_4820]) ).

tcf(c_21075,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_8342,c_4820]) ).

tcf(c_21078,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4796,c_4820]) ).

tcf(c_21080,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13613,c_4820]) ).

tcf(c_21083,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11617,c_4820]) ).

tcf(c_21085,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5509,c_4820]) ).

tcf(c_21086,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4800,c_4820]) ).

tcf(c_21087,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4651,c_4820]) ).

tcf(c_21089,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_4820]) ).

tcf(c_21093,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4820]) ).

tcf(c_21095,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4820]) ).

tcf(c_21097,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4820]) ).

tcf(c_21099,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4820]) ).

tcf(c_21100,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4820]) ).

tcf(c_21101,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4820]) ).

tcf(c_21102,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13300,c_4820]) ).

tcf(c_21103,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12899,c_4820]) ).

tcf(c_21107,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13206,c_4820]) ).

tcf(c_21108,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_4820]) ).

tcf(c_21109,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_4820]) ).

tcf(c_21110,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13609,c_4820]) ).

tcf(c_21111,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13602,c_4820]) ).

tcf(c_21113,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_4820]) ).

tcf(c_21115,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7052,c_4820]) ).

tcf(c_21118,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2EF )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13498,c_4820]) ).

tcf(c_21119,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12207,c_4820]) ).

tcf(c_21121,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_18044,c_4820]) ).

tcf(c_21122,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_4820]) ).

tcf(c_21123,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_4820]) ).

tcf(c_21125,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6968,c_4820]) ).

tcf(c_21126,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13530,c_4820]) ).

tcf(c_21127,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14227,c_4820]) ).

tcf(c_21133,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7669,c_4820]) ).

tcf(c_21135,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5595,c_4820]) ).

tcf(c_21145,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7959,c_4820]) ).

tcf(c_21146,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5459,c_4820]) ).

tcf(c_21147,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4601,c_4820]) ).

tcf(c_21148,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7738,c_4820]) ).

tcf(c_21151,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7131,c_4820]) ).

tcf(c_21152,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7242,c_4820]) ).

tcf(c_21153,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7350,c_4820]) ).

tcf(c_21154,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7452,c_4820]) ).

tcf(c_21155,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17))
    | ~ p(c_2Ebool_2ET)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7563,c_4820]) ).

tcf(c_21158,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21087,c_4601]) ).

tcf(c_21160,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21049,c_54]) ).

tcf(c_21165,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21086,c_4601]) ).

tcf(c_21166,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21078,c_4601]) ).

tcf(c_21167,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21048,c_54]) ).

tcf(c_21182,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21004,c_4601]) ).

tcf(c_21183,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21155,c_172,c_7554]) ).

tcf(c_21186,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21154,c_172,c_7442]) ).

tcf(c_21189,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21153,c_172,c_7341]) ).

tcf(c_21192,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21152,c_172,c_7232]) ).

tcf(c_21195,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21151,c_172,c_7121]) ).

tcf(c_21198,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21148,c_172,c_7667]) ).

tcf(c_21203,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21083,c_4601]) ).

tcf(c_21204,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21074,c_4601]) ).

tcf(c_21218,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK16) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21003,c_4601]) ).

tcf(c_21219,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21002,c_4601]) ).

tcf(c_21220,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21133,c_4601]) ).

tcf(c_21221,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21115,c_4601]) ).

tcf(c_21222,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21111,c_4601]) ).

tcf(c_21224,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21085,c_4601]) ).

tcf(c_21225,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21080,c_4601]) ).

tcf(c_21226,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21072,c_4601]) ).

tcf(c_21227,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21070,c_4601]) ).

tcf(c_21231,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21051,c_52]) ).

tcf(c_21241,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21001,c_4601]) ).

tcf(c_21242,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21125,c_4601]) ).

tcf(c_21243,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21121,c_4601]) ).

tcf(c_21245,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21110,c_4601]) ).

tcf(c_21246,plain,
    ! [X0: $i,X1: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21099,c_4601]) ).

tcf(c_21247,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21097,c_54]) ).

tcf(c_21254,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21075,c_4601]) ).

tcf(c_21256,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21055,c_52]) ).

tcf(c_21262,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21054,c_52]) ).

tcf(c_21269,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21043,c_54]) ).

tcf(c_21275,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21042,c_54]) ).

tcf(c_21288,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21010,c_52,c_54]) ).

tcf(c_21294,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21005,c_4601]) ).

tcf(c_21295,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21123,c_4601]) ).

tcf(c_21296,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21122,c_4601]) ).

tcf(c_21301,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21107,c_4601]) ).

tcf(c_21304,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21008,c_52,c_54]) ).

tcf(c_21310,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21006,c_52,c_54]) ).

tcf(c_21317,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21047,c_54]) ).

tcf(c_21324,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_21127,c_4601]) ).

tcf(c_21341,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21034,c_7667]) ).

tcf(c_21348,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21101,c_7667]) ).

tcf(c_21356,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21100,c_7667]) ).

tcf(c_22105,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK18),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_3287]) ).

tcf(c_22106,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_3287]) ).

tcf(c_22107,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK16),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_3287]) ).

tcf(c_22108,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_3287]) ).

tcf(c_22109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_3287]) ).

tcf(c_22110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_3287]) ).

tcf(c_22111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_3287]) ).

tcf(c_22112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_3287]) ).

tcf(c_22113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X4),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = X4 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_3287]) ).

tcf(c_22114,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_3287]) ).

tcf(c_22115,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_3287]) ).

tcf(c_22116,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_3287]) ).

tcf(c_22117,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_3287]) ).

tcf(c_22118,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_3287]) ).

tcf(c_22168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X4),ap(ap(c_2Eextreal_2Eextreal__max,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = X4 )
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22113,c_158]) ).

tcf(c_22190,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK18)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_22105]) ).

tcf(c_22193,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_22105]) ).

tcf(c_22194,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_22105]) ).

tcf(c_22195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_22105]) ).

tcf(c_22196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_22105]) ).

tcf(c_22197,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_22105]) ).

tcf(c_22198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_22105]) ).

tcf(c_22199,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_22105]) ).

tcf(c_22200,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_22105]) ).

tcf(c_22201,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_22105]) ).

tcf(c_22202,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_22105]) ).

tcf(c_22203,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_22105]) ).

tcf(c_22235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22198,c_158]) ).

tcf(c_22270,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK17)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_22106]) ).

tcf(c_22272,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_22106]) ).

tcf(c_22273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_22106]) ).

tcf(c_22274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_22106]) ).

tcf(c_22275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_22106]) ).

tcf(c_22276,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_22106]) ).

tcf(c_22277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_22106]) ).

tcf(c_22278,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_22106]) ).

tcf(c_22279,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_22106]) ).

tcf(c_22280,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_22106]) ).

tcf(c_22281,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_22106]) ).

tcf(c_22282,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_22106]) ).

tcf(c_22314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22277,c_158]) ).

tcf(c_22408,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK16)) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_22107]) ).

tcf(c_22409,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_22107]) ).

tcf(c_22410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_22107]) ).

tcf(c_22411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_22107]) ).

tcf(c_22412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X2),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = X2 )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_22107]) ).

tcf(c_22413,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X1),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = X1 )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_22107]) ).

tcf(c_22414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_22107]) ).

tcf(c_22415,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_22107]) ).

tcf(c_22416,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_22107]) ).

tcf(c_22417,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_22107]) ).

tcf(c_22418,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_22107]) ).

tcf(c_22419,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X0),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = X0 )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_22107]) ).

tcf(c_22451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),X3),ap(ap(c_2Eextreal_2Eextreal__max,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = X3 )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22414,c_158]) ).

tcf(c_22503,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_4820]) ).

tcf(c_22504,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_4722]) ).

tcf(c_22505,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_21160,c_10179]) ).

tcf(c_22507,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_3159]) ).

tcf(c_22508,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_21160,c_156]) ).

tcf(c_22510,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_12165]) ).

tcf(c_22515,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_3159]) ).

tcf(c_22516,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_21160,c_156]) ).

tcf(c_22517,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_12383]) ).

tcf(c_22518,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_8723]) ).

tcf(c_22522,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_12084]) ).

tcf(c_22524,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_5558]) ).

tcf(c_22528,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_5639]) ).

tcf(c_22529,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_4820]) ).

tcf(c_22530,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_4722]) ).

tcf(c_22532,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_3449]) ).

tcf(c_22533,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21160,c_3159]) ).

tcf(c_22534,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_21160,c_156]) ).

tcf(c_22538,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22532,c_53]) ).

tcf(c_22544,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22529,c_4601]) ).

tcf(c_22545,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22522,c_4602]) ).

tcf(c_22547,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22524,c_4602]) ).

tcf(c_22550,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22515,c_54]) ).

tcf(c_22558,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22503,c_4601]) ).

tcf(c_22559,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22534,c_53]) ).

tcf(c_22566,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22516,c_54]) ).

tcf(c_22574,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22508,c_54,c_53]) ).

tcf(c_22581,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17))
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22518,c_54,c_7667]) ).

tcf(c_22588,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_22505,c_4602]) ).

tcf(c_22624,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_4820]) ).

tcf(c_22625,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_4722]) ).

tcf(c_22626,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_21167,c_10179]) ).

tcf(c_22627,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_3449]) ).

tcf(c_22628,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_3159]) ).

tcf(c_22629,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_21167,c_156]) ).

tcf(c_22630,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_13833]) ).

tcf(c_22631,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_12165]) ).

tcf(c_22632,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_4820]) ).

tcf(c_22633,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_4722]) ).

tcf(c_22635,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_3449]) ).

tcf(c_22636,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_3159]) ).

tcf(c_22637,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(superposition,[status(thm)],[c_21167,c_156]) ).

tcf(c_22639,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_12114]) ).

tcf(c_22640,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_21167,c_5639]) ).

tcf(c_22641,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22635,c_53]) ).

tcf(c_22657,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22632,c_4601]) ).

tcf(c_22659,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22631,c_53]) ).

tcf(c_22665,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22630,c_4601]) ).

tcf(c_22666,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22636,c_53]) ).

tcf(c_22674,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22624,c_4601]) ).

tcf(c_22675,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22637,c_53]) ).

tcf(c_22682,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22628,c_54,c_53]) ).

tcf(c_22689,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22629,c_54,c_53]) ).

tcf(c_22696,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_22626,c_4602]) ).

tcf(c_22729,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_4820]) ).

tcf(c_22730,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_4722]) ).

tcf(c_22731,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_22538,c_10179]) ).

tcf(c_22732,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_3449]) ).

tcf(c_22733,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_3159]) ).

tcf(c_22734,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_22538,c_156]) ).

tcf(c_22735,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_13833]) ).

tcf(c_22736,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_12165]) ).

tcf(c_22738,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_4722]) ).

tcf(c_22740,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_3449]) ).

tcf(c_22741,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_3159]) ).

tcf(c_22742,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_22538,c_156]) ).

tcf(c_22743,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_12383]) ).

tcf(c_22744,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_8723]) ).

tcf(c_22747,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_4728]) ).

tcf(c_22748,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_22538,c_12084]) ).

tcf(c_22756,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK16,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22748,c_4602]) ).

tcf(c_22757,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22738,c_54]) ).

tcf(c_22764,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22736,c_53]) ).

tcf(c_22770,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22735,c_4601]) ).

tcf(c_22772,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22741,c_54]) ).

tcf(c_22779,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22730,c_54,c_53]) ).

tcf(c_22785,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22729,c_4601]) ).

tcf(c_22786,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22742,c_54]) ).

tcf(c_22793,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22733,c_54,c_53]) ).

tcf(c_22800,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22734,c_54,c_53]) ).

tcf(c_22807,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22744,c_54,c_7667]) ).

tcf(c_22814,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_22731,c_4602]) ).

tcf(c_22829,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14812,c_4820]) ).

tcf(c_22831,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_14812,c_10179]) ).

tcf(c_22832,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14812,c_3449]) ).

tcf(c_22833,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14812,c_3159]) ).

tcf(c_22834,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(superposition,[status(thm)],[c_14812,c_156]) ).

tcf(c_22838,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22832,c_52,c_53]) ).

tcf(c_22842,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22829,c_4601]) ).

tcf(c_22843,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22833,c_52,c_53]) ).

tcf(c_22849,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22834,c_52,c_53]) ).

tcf(c_22855,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22831,c_52,c_53]) ).

tcf(c_22956,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_4820]) ).

tcf(c_22957,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_4722]) ).

tcf(c_22958,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_14881,c_10179]) ).

tcf(c_22959,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_3449]) ).

tcf(c_22960,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_3159]) ).

tcf(c_22961,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_14881,c_156]) ).

tcf(c_22962,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_12383]) ).

tcf(c_22963,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_8723]) ).

tcf(c_22973,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14881,c_5639]) ).

tcf(c_22975,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22973,c_53]) ).

tcf(c_22980,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22957,c_53]) ).

tcf(c_22986,plain,
    ! [X0: $i] :
      ( p(c_2Ebool_2ET)
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_22956,c_4601]) ).

tcf(c_22987,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22960,c_53]) ).

tcf(c_22994,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22961,c_53]) ).

tcf(c_23001,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22963,c_53,c_7667]) ).

tcf(c_23008,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22962,c_53,c_7667]) ).

tcf(c_23015,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22958,c_53]) ).

tcf(c_23036,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15059,c_4820]) ).

tcf(c_23037,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15059,c_4722]) ).

tcf(c_23038,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_15059,c_10179]) ).

tcf(c_23039,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15059,c_3449]) ).

tcf(c_23040,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15059,c_3159]) ).

tcf(c_23041,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(superposition,[status(thm)],[c_15059,c_156]) ).

tcf(c_23054,plain,
    ! [X0: $i] :
      ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23039,c_54]) ).

tcf(c_23059,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23037,c_54]) ).

tcf(c_23065,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23036,c_54]) ).

tcf(c_23071,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23040,c_54]) ).

tcf(c_23078,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X1),sK18) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23041,c_54]) ).

tcf(c_23085,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23038,c_54]) ).

tcf(c_23160,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15912,c_4820]) ).

tcf(c_23162,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_15912,c_10179]) ).

tcf(c_23164,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15912,c_3159]) ).

tcf(c_23165,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_15912,c_156]) ).

tcf(c_23167,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_15912,c_12165]) ).

tcf(c_23168,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23167,c_53]) ).

tcf(c_23173,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_23160,c_4601]) ).

tcf(c_23174,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23164,c_54,c_53]) ).

tcf(c_23180,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23165,c_54,c_53]) ).

tcf(c_23186,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
    | ~ mem(sK16,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(light_normalisation,[status(thm)],[c_23162,c_4602]) ).

tcf(c_23197,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_52,c_15996]) ).

tcf(c_23199,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_54,c_15996]) ).

tcf(c_23200,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7667,c_15996]) ).

tcf(c_23201,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_15996]) ).

tcf(c_23202,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_15996]) ).

tcf(c_23203,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),sK17) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_15996]) ).

tcf(c_23204,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_15996]) ).

tcf(c_23205,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_15996]) ).

tcf(c_23206,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7554,c_15996]) ).

tcf(c_23207,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7442,c_15996]) ).

tcf(c_23208,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7341,c_15996]) ).

tcf(c_23209,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7232,c_15996]) ).

tcf(c_23210,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),sK17) = c_2Ebool_2ET ) ),
    inference(superposition,[status(thm)],[c_7121,c_15996]) ).

tcf(c_23214,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( c_2Ebool_2ET = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2ET ) ),
    inference(light_normalisation,[status(thm)],[c_23197,c_4600]) ).

tcf(c_23258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),sK17) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23205,c_158]) ).

tcf(c_23311,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4826]) ).

tcf(c_23312,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4826]) ).

tcf(c_23319,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3590,c_4826]) ).

tcf(c_23320,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3436,c_4826]) ).

tcf(c_23324,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3041,c_4826]) ).

tcf(c_23337,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17599,c_4826]) ).

tcf(c_23339,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_4826]) ).

tcf(c_23343,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4808,c_4826]) ).

tcf(c_23361,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13135,c_4826]) ).

tcf(c_23364,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4896,c_4826]) ).

tcf(c_23365,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_9335,c_4826]) ).

tcf(c_23367,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4670,c_4826]) ).

tcf(c_23369,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11184,c_4826]) ).

tcf(c_23370,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X1))
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7977,c_4826]) ).

tcf(c_23371,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_14812,c_4826]) ).

tcf(c_23372,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13206,c_4826]) ).

tcf(c_23373,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_12293,c_4826]) ).

tcf(c_23374,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11633,c_4826]) ).

tcf(c_23375,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13609,c_4826]) ).

tcf(c_23376,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13602,c_4826]) ).

tcf(c_23377,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_13487,c_4826]) ).

tcf(c_23378,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_11612,c_4826]) ).

tcf(c_23380,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7052,c_4826]) ).

tcf(c_23382,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_18044,c_4826]) ).

tcf(c_23383,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17773,c_4826]) ).

tcf(c_23384,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_17604,c_4826]) ).

tcf(c_23386,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ mem(sK16,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_6968,c_4826]) ).

tcf(c_23390,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7959,c_4826]) ).

tcf(c_23391,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_5459,c_4826]) ).

tcf(c_23393,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16) = c_2Ebool_2ET )
      | ~ p(c_2Ebool_2ET)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_10126,c_4826]) ).

tcf(c_23398,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23320,c_53]) ).

tcf(c_23422,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK16))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23364,c_54,c_53]) ).

tcf(c_23429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X2),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23319,c_53]) ).

tcf(c_23437,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23312,c_53]) ).

tcf(c_23464,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_4820]) ).

tcf(c_23466,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal)
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(superposition,[status(thm)],[c_23199,c_10179]) ).

tcf(c_23467,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_3449]) ).

tcf(c_23468,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_3159]) ).

tcf(c_23469,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK18,ty_2Eextreal_2Eextreal)
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(superposition,[status(thm)],[c_23199,c_156]) ).

tcf(c_23470,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(sK17,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_4728]) ).

tcf(c_23471,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_12084]) ).

tcf(c_23472,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_12000]) ).

tcf(c_23473,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23199,c_5558]) ).

tcf(c_23475,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_23472,c_4601]) ).

tcf(c_23476,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23471,c_53]) ).

tcf(c_23481,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23467,c_52,c_53]) ).

tcf(c_23485,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2ET )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23473,c_53]) ).

tcf(c_23490,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23470,c_53]) ).

tcf(c_23496,plain,
    ( p(c_2Ebool_2ET)
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ mem(sK18,ty_2Eextreal_2Eextreal)
    | ~ mem(sK17,ty_2Eextreal_2Eextreal) ),
    inference(light_normalisation,[status(thm)],[c_23464,c_4601]) ).

tcf(c_23498,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
      | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23469,c_52,c_53]) ).

tcf(c_23504,plain,
    ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18))
    | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18) = c_2Ebool_2EF )
    | ( ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17) = c_2Ebool_2ET )
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
    | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23466,c_52,c_53]) ).

tcf(c_23535,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_173,c_3292]) ).

tcf(c_23536,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_175,c_3292]) ).

tcf(c_23537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)),ap(ap(c_2Eextreal_2Eextreal__le,X2),X3)) = ap(ap(c_2Eextreal_2Eextreal__le,X0),X1) )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3095,c_3292]) ).

tcf(c_23538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__le,X3),X4)) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ ne(bool)
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4218,c_3292]) ).

tcf(c_23550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1)),ap(ap(c_2Eextreal_2Eextreal__le,X3),X4)) = ap(ap(ap(c_2Ebool_2ECOND(bool),X2),X0),X1) )
      | ~ mem(X4,ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,bool)
      | ~ mem(X0,bool) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23538,c_164]) ).

tcf(c_23563,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_23535]) ).

tcf(c_23564,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_23535]) ).

tcf(c_23565,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_23535]) ).

tcf(c_23566,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_23535]) ).

tcf(c_23567,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23535]) ).

tcf(c_23568,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23535]) ).

tcf(c_23569,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)) = c_2Ebool_2ET )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23535]) ).

tcf(c_23570,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23535]) ).

tcf(c_23571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23535]) ).

tcf(c_23572,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_23535]) ).

tcf(c_23573,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_23535]) ).

tcf(c_23574,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_23535]) ).

tcf(c_23575,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_23535]) ).

tcf(c_23576,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_23535]) ).

tcf(c_23613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = c_2Ebool_2ET )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23571,c_158]) ).

tcf(c_23670,plain,
    ( ( ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18) = c_2Ebool_2ET )
    | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)),c_2Ebool_2EF) = c_2Ebool_2EF ) ),
    inference(superposition,[status(thm)],[c_5506,c_7446]) ).

tcf(c_23683,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_52,c_23563]) ).

tcf(c_23684,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_53,c_23563]) ).

tcf(c_23685,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_54,c_23563]) ).

tcf(c_23686,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7667,c_23563]) ).

tcf(c_23687,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23563]) ).

tcf(c_23688,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23563]) ).

tcf(c_23689,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23563]) ).

tcf(c_23690,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23563]) ).

tcf(c_23691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23563]) ).

tcf(c_23692,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7554,c_23563]) ).

tcf(c_23693,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7442,c_23563]) ).

tcf(c_23694,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7341,c_23563]) ).

tcf(c_23695,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7232,c_23563]) ).

tcf(c_23696,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7121,c_23563]) ).

tcf(c_23712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23691,c_158]) ).

tcf(c_23755,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_52,c_23564]) ).

tcf(c_23756,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_53,c_23564]) ).

tcf(c_23757,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_54,c_23564]) ).

tcf(c_23758,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7667,c_23564]) ).

tcf(c_23759,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23564]) ).

tcf(c_23760,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23564]) ).

tcf(c_23761,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23564]) ).

tcf(c_23762,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23564]) ).

tcf(c_23763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23564]) ).

tcf(c_23764,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7554,c_23564]) ).

tcf(c_23765,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7442,c_23564]) ).

tcf(c_23766,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7341,c_23564]) ).

tcf(c_23767,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7232,c_23564]) ).

tcf(c_23768,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7121,c_23564]) ).

tcf(c_23784,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23763,c_158]) ).

tcf(c_23837,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK18)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_52,c_23565]) ).

tcf(c_23838,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK17)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_53,c_23565]) ).

tcf(c_23839,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK16)) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_54,c_23565]) ).

tcf(c_23840,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7667,c_23565]) ).

tcf(c_23841,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23565]) ).

tcf(c_23842,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23565]) ).

tcf(c_23843,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = c_2Ebool_2ET )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23565]) ).

tcf(c_23844,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = c_2Ebool_2ET )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23565]) ).

tcf(c_23845,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23565]) ).

tcf(c_23846,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7554,c_23565]) ).

tcf(c_23847,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7442,c_23565]) ).

tcf(c_23848,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7341,c_23565]) ).

tcf(c_23849,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7232,c_23565]) ).

tcf(c_23850,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = c_2Ebool_2ET,
    inference(superposition,[status(thm)],[c_7121,c_23565]) ).

tcf(c_23866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2ET),ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2ET )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23845,c_158]) ).

tcf(c_23885,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(global_subsumption_just,[status(thm)],[c_4833,c_53,c_52,c_157,c_4526,c_4833,c_6594,c_6926]) ).

tcf(c_23898,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_4820]) ).

tcf(c_23899,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_4722]) ).

tcf(c_23900,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_10179]) ).

tcf(c_23901,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_3449]) ).

tcf(c_23902,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_3159]) ).

tcf(c_23903,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18),ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_23885,c_156]) ).

tcf(c_23906,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | ( ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)) = c_2Ebool_2ET )
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23901,c_7667]) ).

tcf(c_23912,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK18))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23899,c_7667]) ).

tcf(c_23919,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK17))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23898,c_7667]) ).

tcf(c_23926,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23902,c_7667]) ).

tcf(c_23934,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,sK16),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23900,c_7667]) ).

tcf(c_23941,plain,
    ! [X0: $i,X1: $i] :
      ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),X1))
      | p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)))
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal)
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16))
      | ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23903,c_7667]) ).

tcf(c_23960,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_52,c_23536]) ).

tcf(c_23961,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_53,c_23536]) ).

tcf(c_23962,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK16),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_54,c_23536]) ).

tcf(c_23963,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7667,c_23536]) ).

tcf(c_23964,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X2)) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23536]) ).

tcf(c_23965,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0)),X2)) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23536]) ).

tcf(c_23966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0)),X2)) = c_2Ebool_2EF )
      | ~ mem(X2,ty_2Eextreal_2Eextreal)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23536]) ).

tcf(c_23967,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0))),X1)) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23536]) ).

tcf(c_23968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23536]) ).

tcf(c_23969,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7554,c_23536]) ).

tcf(c_23970,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7442,c_23536]) ).

tcf(c_23971,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7341,c_23536]) ).

tcf(c_23972,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7232,c_23536]) ).

tcf(c_23973,plain,
    ! [X0: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16)),X0)) = c_2Ebool_2EF )
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_7121,c_23536]) ).

tcf(c_24010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1)),X3)) = c_2Ebool_2EF )
      | ~ mem(X3,ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23968,c_158]) ).

tcf(c_24051,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK18)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_52,c_23960]) ).

tcf(c_24052,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK17)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_53,c_23960]) ).

tcf(c_24053,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK16)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_54,c_23960]) ).

tcf(c_24054,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7667,c_23960]) ).

tcf(c_24055,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23960]) ).

tcf(c_24056,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23960]) ).

tcf(c_24057,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23960]) ).

tcf(c_24058,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23960]) ).

tcf(c_24059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23960]) ).

tcf(c_24060,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7554,c_23960]) ).

tcf(c_24061,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7442,c_23960]) ).

tcf(c_24062,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7341,c_23960]) ).

tcf(c_24063,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7232,c_23960]) ).

tcf(c_24064,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7121,c_23960]) ).

tcf(c_24080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK18),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24059,c_158]) ).

tcf(c_24131,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK18)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_52,c_23961]) ).

tcf(c_24132,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK17)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_53,c_23961]) ).

tcf(c_24133,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK16)) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_54,c_23961]) ).

tcf(c_24134,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK18))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7667,c_23961]) ).

tcf(c_24135,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_3104,c_23961]) ).

tcf(c_24136,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__le,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__le,X1),X0))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,bool)) ),
    inference(superposition,[status(thm)],[c_3227,c_23961]) ).

tcf(c_24137,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Eextreal_2Eextreal__max,X1) = X0 )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,ap(c_2Eextreal_2Eextreal__max,X1),X0))) = c_2Ebool_2EF )
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)) ),
    inference(superposition,[status(thm)],[c_3228,c_23961]) ).

tcf(c_24138,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0) = c_2Eextreal_2Eextreal__max )
      | ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),sK19(ty_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max,ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X0)))) = c_2Ebool_2EF )
      | ~ mem(X0,bool) ),
    inference(superposition,[status(thm)],[c_4204,c_23961]) ).

tcf(c_24139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2EF )
      | ~ ne(ty_2Eextreal_2Eextreal)
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(superposition,[status(thm)],[c_4218,c_23961]) ).

tcf(c_24140,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK18))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7554,c_23961]) ).

tcf(c_24141,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK17))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7442,c_23961]) ).

tcf(c_24142,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK16),sK17))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7341,c_23961]) ).

tcf(c_24143,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK18),sK16))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7232,c_23961]) ).

tcf(c_24144,plain,
    ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(c_2Eextreal_2Eextreal__max,sK17),sK16))) = c_2Ebool_2EF,
    inference(superposition,[status(thm)],[c_7121,c_23961]) ).

tcf(c_24160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(ap(ap(c_2Ebool_2ECOND(bool),c_2Ebool_2ET),c_2Ebool_2EF),ap(ap(c_2Eextreal_2Eextreal__le,sK17),ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),X2),X0),X1))) = c_2Ebool_2EF )
      | ~ mem(X2,bool)
      | ~ mem(X1,ty_2Eextreal_2Eextreal)
      | ~ mem(X0,ty_2Eextreal_2Eextreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24139,c_158]) ).

tcf(c_24202,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_24160,c_24144,c_24143,c_24142,c_24141,c_24140,c_24139,c_24138,c_24137,c_24136,c_24135,c_24134,c_24133,c_24132,c_24131,c_24080,c_24064,c_24063,c_24062,c_24061,c_24060,c_24059,c_24058,c_24057,c_24056,c_24055,c_24054,c_24053,c_24052,c_24051,c_24010,c_23973,c_23972,c_23971,c_23970,c_23969,c_23968,c_23967,c_23966,c_23965,c_23964,c_23963,c_23962,c_23961,c_23960,c_23941,c_23934,c_23926,c_23919,c_23912,c_23906,c_23903,c_23902,c_23901,c_23900,c_23899,c_23898,c_23866,c_23850,c_23849,c_23848,c_23847,c_23846,c_23845,c_23844,c_23843,c_23842,c_23841,c_23840,c_23839,c_23838,c_23837,c_23784,c_23768,c_23767,c_23766,c_23765,c_23764,c_23763,c_23762,c_23761,c_23760,c_23759,c_23758,c_23757,c_23756,c_23755,c_23712,c_23696,c_23695,c_23694,c_23693,c_23692,c_23691,c_23690,c_23689,c_23688,c_23687,c_23686,c_23685,c_23684,c_23683,c_23670,c_23613,c_23576,c_23575,c_23574,c_23573,c_23572,c_23571,c_23570,c_23569,c_23568,c_23567,c_23566,c_23565,c_23564,c_23563,c_23504,c_23498,c_23496,c_23490,c_23485,c_23481,c_23476,c_23475,c_23473,c_23472,c_23471,c_23470,c_23469,c_23468,c_23467,c_23466,c_23464,c_23437,c_23429,c_23422,c_23398,c_23393,c_23391,c_23390,c_23386,c_23384,c_23383,c_23382,c_23380,c_23378,c_23377,c_23376,c_23375,c_23374,c_23373,c_23372,c_23371,c_23370,c_23369,c_23367,c_23365,c_23364,c_23361,c_23343,c_23339,c_23337,c_23320,c_23319,c_23312,c_23311,c_23258,c_23214,c_23210,c_23209,c_23208,c_23207,c_23206,c_23205,c_23204,c_23203,c_23202,c_23201,c_23200,c_23199,c_23197,c_23186,c_23180,c_23174,c_23173,c_23168,c_23167,c_23165,c_23164,c_23162,c_23160,c_23085,c_23078,c_23071,c_23065,c_23059,c_23054,c_23041,c_23040,c_23039,c_23038,c_23037,c_23036,c_23015,c_23008,c_23001,c_22994,c_22987,c_22986,c_22980,c_22975,c_22973,c_22963,c_22962,c_22961,c_22960,c_22959,c_22958,c_22957,c_22956,c_22855,c_22849,c_22843,c_22842,c_22838,c_22834,c_22833,c_22832,c_22831,c_22829,c_22814,c_22807,c_22800,c_22793,c_22786,c_22785,c_22779,c_22772,c_22770,c_22764,c_22757,c_22756,c_22748,c_22747,c_22744,c_22743,c_22742,c_22741,c_22740,c_22738,c_22736,c_22735,c_22734,c_22733,c_22732,c_22731,c_22730,c_22729,c_22696,c_22689,c_22682,c_22675,c_22674,c_22666,c_22665,c_22659,c_22657,c_22641,c_22640,c_22639,c_22637,c_22636,c_22635,c_22633,c_22632,c_22631,c_22630,c_22629,c_22628,c_22627,c_22626,c_22625,c_22624,c_22588,c_22581,c_22574,c_22566,c_22559,c_22558,c_22550,c_22547,c_22545,c_22544,c_22538,c_22534,c_22533,c_22532,c_22530,c_22529,c_22528,c_22524,c_22522,c_22518,c_22517,c_22516,c_22515,c_22510,c_22508,c_22507,c_22505,c_22504,c_22503,c_22419,c_22418,c_22417,c_22416,c_22415,c_22413,c_22412,c_22411,c_22409,c_22282,c_22281,c_22280,c_22279,c_22278,c_22276,c_22275,c_22274,c_22272,c_22203,c_22202,c_22201,c_22200,c_22199,c_22197,c_22196,c_22195,c_22193,c_22118,c_22117,c_22116,c_22115,c_22114,c_22112,c_22111,c_22110,c_22108,c_23550,c_22168,c_22451,c_22314,c_22235,c_22113,c_22198,c_22277,c_22414,c_23538,c_21356,c_21348,c_21341,c_21324,c_21317,c_21310,c_21304,c_21301,c_21296,c_21295,c_21294,c_21288,c_21275,c_21269,c_21262,c_21256,c_21254,c_21247,c_21246,c_21245,c_21243,c_21242,c_21241,c_21231,c_21227,c_21226,c_21225,c_21224,c_21222,c_21221,c_21220,c_21219,c_21218,c_21204,c_21203,c_21198,c_21195,c_21192,c_21189,c_21186,c_21183,c_21182,c_21167,c_21166,c_21165,c_21160,c_21158,c_21155,c_21154,c_21153,c_21152,c_21151,c_21148,c_21147,c_21146,c_21145,c_21135,c_21133,c_21127,c_21126,c_21125,c_21123,c_21122,c_21121,c_21119,c_21118,c_21115,c_21113,c_21111,c_21110,c_21109,c_21108,c_21107,c_21103,c_21102,c_21101,c_21100,c_21097,c_21095,c_21093,c_21089,c_21086,c_21085,c_21083,c_21080,c_21087,c_21078,c_21099,c_21075,c_21074,c_21072,c_21070,c_21064,c_21063,c_21062,c_21061,c_21060,c_21055,c_21054,c_21051,c_21049,c_21048,c_21047,c_21046,c_21045,c_21044,c_21043,c_21042,c_21041,c_21040,c_21039,c_21038,c_21034,c_21029,c_21028,c_21027,c_21025,c_21024,c_21023,c_21021,c_21020,c_21010,c_21008,c_21006,c_21005,c_21004,c_21003,c_21002,c_21001,c_20953,c_20912,c_20911,c_20910,c_20909,c_20908,c_20907,c_20906,c_20905,c_20904,c_20903,c_20902,c_20847,c_20806,c_20805,c_20804,c_20803,c_20802,c_20801,c_20800,c_20799,c_20798,c_20797,c_20796,c_20772,c_20765,c_20748,c_20741,c_20740,c_20738,c_20737,c_20736,c_20735,c_20734,c_20674,c_20633,c_20632,c_20631,c_20630,c_20629,c_20628,c_20627,c_20626,c_20625,c_20624,c_20623,c_20568,c_20561,c_20557,c_20552,c_20549,c_20530,c_20524,c_20523,c_20521,c_20519,c_20504,c_20502,c_20500,c_20469,c_20468,c_20466,c_20465,c_20464,c_20463,c_20462,c_20461,c_20460,c_20458,c_20457,c_20455,c_20454,c_20453,c_20451,c_20450,c_20449,c_20448,c_20447,c_20446,c_20445,c_20443,c_20442,c_20441,c_20440,c_20436,c_20438,c_20434,c_20433,c_20432,c_20431,c_20430,c_20437,c_20427,c_20426,c_20425,c_20424,c_20423,c_20422,c_20421,c_20420,c_20419,c_20418,c_20417,c_20415,c_20378,c_20337,c_20336,c_20335,c_20334,c_20333,c_20332,c_20331,c_20330,c_20329,c_20328,c_20327,c_20263,c_20256,c_20252,c_20247,c_20244,c_20221,c_20215,c_20214,c_20212,c_20210,c_20195,c_20193,c_20191,c_20163,c_20162,c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157,c_156,c_155,c_154,c_54,c_53,c_52,c_51,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP021+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42  % Computer : n002.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Wed Sep 23 17:49:48 UTC 2026
% 0.15/0.43  % CPUTime  : 
% 0.15/0.43  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.20/0.48  
% 0.20/0.48  % Detected problem language: tptp
% 0.20/0.49  % Proving...
% 6.13/2.81  % SZS status Started for theBenchmark.p
% 6.13/2.81  % SZS status Theorem for theBenchmark.p
% 6.13/2.81  
% 6.13/2.81  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.13/2.81  
% 6.13/2.81  % ------  iProver source info
% 6.13/2.81  
% 6.13/2.81  % git: date: 2026-07-19 20:42:38 +0200
% 6.13/2.81  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.13/2.81  % git: non_committed_changes: false
% 6.13/2.81  
% 6.13/2.81  % ------ Parsing...
% 6.13/2.81  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.13/2.81  
% 6.13/2.81  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 6.13/2.81  
% 6.13/2.81  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.13/2.81  
% 6.13/2.81  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.13/2.81  % ------ Proving...
% 6.13/2.81  % ------ Problem Properties 
% 6.13/2.81  
% 6.13/2.81  % 
% 6.13/2.81  % clauses                               26
% 6.13/2.81  % conjectures                           6
% 6.13/2.81  % EPR                                   11
% 6.13/2.81  % Horn                                  21
% 6.13/2.81  % unary                                 11
% 6.13/2.81  % binary                                3
% 6.13/2.81  % lits                                  65
% 6.13/2.81  % lits eq                               8
% 6.13/2.81  % fd_pure                               0
% 6.13/2.81  % fd_pseudo                             0
% 6.13/2.81  % fd_cond                               0
% 6.13/2.81  % fd_pseudo_cond                        4
% 6.13/2.81  % AC symbols                            0
% 6.13/2.81  
% 6.13/2.81  % ------ Schedule dynamic 5 is on 
% 6.13/2.81  
% 6.13/2.81  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.13/2.81  
% 6.13/2.81  
% 6.13/2.81  % ------ 
% 6.13/2.81  % Current options:
% 6.13/2.81  % ------ 
% 6.13/2.81  
% 6.13/2.81  
% 6.13/2.81  % 
% 6.13/2.81  
% 6.13/2.81  % ------ Proving...
% 6.13/2.81  % 
% 6.13/2.81  
% 6.13/2.81  % SZS status Theorem for theBenchmark.p
% 6.13/2.81  
% 6.13/2.81  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.13/2.86  
% 6.13/2.86  
%------------------------------------------------------------------------------