Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP305_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 : Tue Sep 29 11:39:19 AM UTC 2026

% Result   : Theorem 0.91s 0.64s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   52 (  44 unt;   0 typ;   0 def)
%            Number of atoms       :   81 (  42 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   56 (  27   ~;  22   |;   6   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :   94 (  93 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  152 ( 150 usr;   1 prp; 0-4 aty)
%            Number of functors    :  527 ( 527 usr;  31 con; 0-7 aty)
%            Number of variables   :   83 (  83   !;   0   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'B_ZF_fun_set$': $tType ).

tff(type_def_6,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_7,type,
    'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_8,type,
    'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).

tff(type_def_9,type,
    'ZF_set$': $tType ).

tff(type_def_10,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$': $tType ).

tff(type_def_11,type,
    'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$': $tType ).

tff(type_def_12,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).

tff(type_def_13,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).

tff(type_def_14,type,
    'Unit_unit_fun$': $tType ).

tff(type_def_15,type,
    'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).

tff(type_def_16,type,
    'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$': $tType ).

tff(type_def_17,type,
    'ZF_ZF_prod_set$': $tType ).

tff(type_def_18,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$': $tType ).

tff(type_def_19,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).

tff(type_def_20,type,
    'ZF_set_ZF_set_fun$': $tType ).

tff(type_def_21,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_22,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).

tff(type_def_23,type,
    'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).

tff(type_def_24,type,
    'A_b_fun_set$': $tType ).

tff(type_def_25,type,
    'ZF_ZF_prod_ZF_fun$': $tType ).

tff(type_def_26,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$': $tType ).

tff(type_def_27,type,
    'B_c_LSCategory_ext$': $tType ).

tff(type_def_28,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$': $tType ).

tff(type_def_29,type,
    'B_b_fun$': $tType ).

tff(type_def_30,type,
    'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_31,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$': $tType ).

tff(type_def_32,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_33,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_34,type,
    'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).

tff(type_def_35,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_36,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).

tff(type_def_37,type,
    'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).

tff(type_def_38,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_39,type,
    'ZF_ZF_prod$': $tType ).

tff(type_def_40,type,
    'B_b_prod_set$': $tType ).

tff(type_def_41,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_42,type,
    'B$': $tType ).

tff(type_def_43,type,
    'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_44,type,
    'ZF_ZF_ZF_fun_fun$': $tType ).

tff(type_def_45,type,
    'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_46,type,
    'C$': $tType ).

tff(type_def_47,type,
    'B_ZF_fun_b_ZF_fun_fun$': $tType ).

tff(type_def_48,type,
    'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).

tff(type_def_49,type,
    'Nat$': $tType ).

tff(type_def_50,type,
    'B_b_prod_bool_fun$': $tType ).

tff(type_def_51,type,
    'ZF_ZF_prod_ZF_fun_set$': $tType ).

tff(type_def_52,type,
    'ZF_ZF_fun$': $tType ).

tff(type_def_53,type,
    'ZF_ZF_prod_bool_fun$': $tType ).

tff(type_def_54,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).

tff(type_def_55,type,
    'ZF_ZF_fun_set$': $tType ).

tff(type_def_56,type,
    'B_b_prod_b_fun_set$': $tType ).

tff(type_def_57,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_58,type,
    'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_59,type,
    'B_a_fun$': $tType ).

tff(type_def_60,type,
    'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$': $tType ).

tff(type_def_61,type,
    'B_b_prod$': $tType ).

tff(type_def_62,type,
    'ZF_ZF_fun_ZF_ZF_fun_fun$': $tType ).

tff(type_def_63,type,
    'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_64,type,
    'A_bool_fun$': $tType ).

tff(type_def_65,type,
    'A_set$': $tType ).

tff(type_def_66,type,
    'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).

tff(type_def_67,type,
    'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_68,type,
    'A_b_fun$': $tType ).

tff(type_def_69,type,
    'B_set$': $tType ).

tff(type_def_70,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$': $tType ).

tff(type_def_71,type,
    'A_b_fun_bool_fun$': $tType ).

tff(type_def_72,type,
    'A$': $tType ).

tff(type_def_73,type,
    'ZF_ZF_unit_Category_ext$': $tType ).

tff(type_def_74,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_75,type,
    'B_b_prod_b_fun$': $tType ).

tff(type_def_76,type,
    'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).

tff(type_def_77,type,
    'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$': $tType ).

tff(type_def_78,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).

tff(type_def_79,type,
    'ZF_bool_fun$': $tType ).

tff(type_def_80,type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).

tff(type_def_81,type,
    'B_b_b_fun_fun$': $tType ).

tff(type_def_82,type,
    'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).

tff(type_def_83,type,
    'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$': $tType ).

tff(type_def_84,type,
    'A_ZF_fun$': $tType ).

tff(type_def_85,type,
    'A_set_a_set_fun$': $tType ).

tff(type_def_86,type,
    'Unit$': $tType ).

tff(type_def_87,type,
    'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_88,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).

tff(type_def_89,type,
    'ZF$': $tType ).

tff(type_def_90,type,
    'B_ZF_fun$': $tType ).

tff(type_def_91,type,
    'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$': $tType ).

tff(type_def_92,type,
    'B_a_fun_set$': $tType ).

tff(type_def_93,type,
    'Nat_ZF_fun$': $tType ).

tff(type_def_94,type,
    'B_a_fun_bool_fun$': $tType ).

tff(type_def_95,type,
    'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$': $tType ).

tff(type_def_96,type,
    'B_bool_fun$': $tType ).

tff(type_def_97,type,
    'B_ZF_fun_bool_fun$': $tType ).

tff(func_def_0,type,
    'uu$': 'A_set$' > 'A_bool_fun$' ).

tff(func_def_1,type,
    'catDom$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_2,type,
    'more$b': 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).

tff(func_def_3,type,
    'functorComp$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_4,type,
    'collect$e': 'B_ZF_fun_bool_fun$' > 'B_ZF_fun_set$' ).

tff(func_def_5,type,
    'collect$i': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).

tff(func_def_6,type,
    'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_7,type,
    'constFunctor$j': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_8,type,
    'extensional$e': 'B_set$' > 'B_a_fun_set$' ).

tff(func_def_9,type,
    'fun_app$y': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_10,type,
    'comp$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_11,type,
    'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_12,type,
    'collect$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).

tff(func_def_13,type,
    'fun_app$u': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_14,type,
    'fun_app$s': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun$' ) > 'B_ZF_fun$' ).

tff(func_def_15,type,
    'nTCatCod$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_16,type,
    'unitFunctor$': 'ZF_ZF_unit_Category_ext$' > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' ).

tff(func_def_17,type,
    'x$': 'A$' ).

tff(func_def_18,type,
    'mapsTo$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$' ) > 'A_bool_fun$' ).

tff(func_def_19,type,
    'uvb$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_prod_bool_fun$' ).

tff(func_def_20,type,
    'the$b': 'B_bool_fun$' > 'B$' ).

tff(func_def_21,type,
    'case_prod$': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).

tff(func_def_22,type,
    'makeFtor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_23,type,
    'nTDom$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_24,type,
    'catExp$k': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_25,type,
    'natTrans$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_26,type,
    'uua$': 'ZF_set$' > 'ZF_bool_fun$' ).

tff(func_def_27,type,
    'cod_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_28,type,
    'idNatTrans$': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).

tff(func_def_29,type,
    'extensional$d': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$' ).

tff(func_def_30,type,
    'fun_app$ad': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_31,type,
    'restrict$a': ( 'B_b_prod_b_fun$' * 'B_b_prod_set$' * 'B_b_prod$' ) > 'B$' ).

tff(func_def_32,type,
    'constFunctor$i': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_33,type,
    'identityFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_34,type,
    'yMapInv$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_35,type,
    'constFunctor$a': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_36,type,
    'id_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_37,type,
    'restrict$b': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_set$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_38,type,
    'uud$': 'B_ZF_fun_set$' > 'B_ZF_fun_bool_fun$' ).

tff(func_def_39,type,
    'isomorphism$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$' ).

tff(func_def_40,type,
    'uug$': 'B_b_prod_set$' > 'B_b_prod_bool_fun$' ).

tff(func_def_41,type,
    'isomorphism$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_42,type,
    'natTransP$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_43,type,
    'constFunctor$o': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_44,type,
    'fun_app$x': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_45,type,
    'nTCod$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_46,type,
    'uue$': 'B_a_fun_set$' > 'B_a_fun_bool_fun$' ).

tff(func_def_47,type,
    'obj_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_48,type,
    'extensional$': 'B_set$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$' ).

tff(func_def_49,type,
    'fun_app$r': ( 'A_b_fun$' * 'A$' ) > 'B$' ).

tff(func_def_50,type,
    'functor_comp_def$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_51,type,
    'uus$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_52,type,
    'makeCat$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_53,type,
    'collect$a': 'B_b_prod_bool_fun$' > 'B_b_prod_set$' ).

tff(func_def_54,type,
    'constFunctor$k': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_55,type,
    'collect$d': 'B_bool_fun$' > 'B_set$' ).

tff(func_def_56,type,
    'pair$a': ( 'B$' * 'B$' ) > 'B_b_prod$' ).

tff(func_def_57,type,
    'functorComp$d': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_58,type,
    'objIso$b': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_bool_fun$' ).

tff(func_def_59,type,
    'equivalence_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_60,type,
    'mapM$f': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'B$' ) > 'B$' ).

tff(func_def_61,type,
    'constFunctor$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_62,type,
    'idNatTrans$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_63,type,
    'nTCatDom$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_64,type,
    'uur$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_fun$' ).

tff(func_def_65,type,
    'uuk$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_66,type,
    'seqSum$': 'Nat_ZF_fun$' > 'ZF$' ).

tff(func_def_67,type,
    'case_prod$a': 'B_b_b_fun_fun$' > 'B_b_prod_b_fun$' ).

tff(func_def_68,type,
    'idNatTrans$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).

tff(func_def_69,type,
    'constFunctor$n': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_70,type,
    'collect$h': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ).

tff(func_def_71,type,
    'uun$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_72,type,
    'nTCatDom$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_73,type,
    'fun_app$d': ( 'A_ZF_fun$' * 'A$' ) > 'ZF$' ).

tff(func_def_74,type,
    'catExp$h': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_75,type,
    'the$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_76,type,
    'set$': 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_77,type,
    'identityFunctor$c': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_78,type,
    'natTransMap$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_79,type,
    'uul$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_80,type,
    'mapO$f': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$' ) > 'A$' ).

tff(func_def_81,type,
    'catDom$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_82,type,
    'mapsTo$b': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).

tff(func_def_83,type,
    'natTransComp$a': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).

tff(func_def_84,type,
    'unity$': 'Unit$' ).

tff(func_def_85,type,
    'identityFunctor$f': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_86,type,
    'catCod$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_87,type,
    'functorComp$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_88,type,
    'constFunctor$h': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_89,type,
    'idNatTrans$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' ).

tff(func_def_90,type,
    'nTCod$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).

tff(func_def_91,type,
    'functorComp$h': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_92,type,
    'nTCod$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_93,type,
    'constFunctor$d': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_94,type,
    'mor2ZF$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_ZF_fun$' ).

tff(func_def_95,type,
    'catCod$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_96,type,
    'nTCod$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_97,type,
    'obj$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ).

tff(func_def_98,type,
    'constFunctor$r': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_99,type,
    'nTDom$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_100,type,
    'comp_update$': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_101,type,
    'constFunctor$m': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_102,type,
    'natTrans_ext$a': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'Unit$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_103,type,
    'constFunctor$s': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_104,type,
    'catDom$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_105,type,
    'zFfun$': ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_106,type,
    'makeFtor$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_107,type,
    'makeFtor$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_108,type,
    'nTCompDefined$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_109,type,
    'inverse_rel$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).

tff(func_def_110,type,
    'idNatTrans$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' ).

tff(func_def_111,type,
    'objIso$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_112,type,
    'fun_app$ab': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_113,type,
    'obj$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_114,type,
    'uvd$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_prod_bool_fun$' ).

tff(func_def_115,type,
    'constFunctor$c': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_116,type,
    'nTCatCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_117,type,
    'catExp$f': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_118,type,
    'constFunctor$p': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_119,type,
    'yMapInv$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_120,type,
    'zFfunCod$': 'ZF_ZF_fun$' ).

tff(func_def_121,type,
    'oppositeCategory$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_122,type,
    'more$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_c_LSCategory_ext$' ).

tff(func_def_123,type,
    'mor$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$' ).

tff(func_def_124,type,
    'catDom$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_125,type,
    'homFtor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_126,type,
    'category_ext$': ( 'A_set$' * 'B_set$' * 'B_a_fun$' * 'B_a_fun$' * 'A_b_fun$' * 'B_b_b_fun_fun$' * 'B_c_LSCategory_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_127,type,
    'functorComp$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_128,type,
    'comp$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).

tff(func_def_129,type,
    'mor2ZF_update$': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_130,type,
    'cod$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).

tff(func_def_131,type,
    'restrict$c': ( 'B_a_fun$' * 'B_set$' ) > 'B_a_fun$' ).

tff(func_def_132,type,
    'set$a': 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_133,type,
    'nTDom$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_134,type,
    'compDefined$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).

tff(func_def_135,type,
    'uut$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_fun$' ).

tff(func_def_136,type,
    'extensional$b': 'ZF_set$' > 'ZF_ZF_fun_set$' ).

tff(func_def_137,type,
    'functorComp$b': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_138,type,
    'extensional$f': 'B_b_prod_set$' > 'B_b_prod_b_fun_set$' ).

tff(func_def_139,type,
    'nTDom$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).

tff(func_def_140,type,
    'uui$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_141,type,
    'more$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'Unit$' ).

tff(func_def_142,type,
    'compDefined$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_143,type,
    'is_Elem_of$': 'ZF_ZF_prod_set$' ).

tff(func_def_144,type,
    'identityFunctor$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_145,type,
    'natTransMap$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF$' ) > 'B$' ).

tff(func_def_146,type,
    'nTCatDom$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_147,type,
    'fun_app$o': ( 'B_b_b_fun_fun$' * 'B$' ) > 'B_b_fun$' ).

tff(func_def_148,type,
    'restrict$e': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).

tff(func_def_149,type,
    'uub$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).

tff(func_def_150,type,
    'functor_ext$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'B_ZF_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_151,type,
    'dom$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_152,type,
    'mapO$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF$' ).

tff(func_def_153,type,
    'nTCatCod$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_154,type,
    'uuy$': 'ZF_bool_fun$' ).

tff(func_def_155,type,
    'oppositeCategory$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_156,type,
    'yMap$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'ZF$' ).

tff(func_def_157,type,
    'homFtorContra$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_158,type,
    'homFtorContra$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_159,type,
    'uuu$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF_bool_fun$' ).

tff(func_def_160,type,
    'catExp$i': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_161,type,
    'mapM$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_162,type,
    'mapM$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'B$' ).

tff(func_def_163,type,
    'uve$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_164,type,
    'cod$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_165,type,
    'natTransComp$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ).

tff(func_def_166,type,
    'obj$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).

tff(func_def_167,type,
    'zFfunComp$': 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_168,type,
    'compDefined$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).

tff(func_def_169,type,
    'inverse_rel$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).

tff(func_def_170,type,
    'the$': 'ZF_bool_fun$' > 'ZF$' ).

tff(func_def_171,type,
    'functorM_axioms$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_172,type,
    'natTransMap$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_173,type,
    'constFunctor$b': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_174,type,
    'functorComp$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_175,type,
    'mapM$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_176,type,
    'uuf$': 'A_b_fun_set$' > 'A_b_fun_bool_fun$' ).

tff(func_def_177,type,
    'fun_app$v': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_178,type,
    'restrict$d': ( 'A_b_fun$' * 'A_set$' ) > 'A_b_fun$' ).

tff(func_def_179,type,
    'implode$': 'ZF_set$' > 'ZF$' ).

tff(func_def_180,type,
    'uuz$': 'ZF_ZF_fun$' ).

tff(func_def_181,type,
    'mapO$c': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A$' ).

tff(func_def_182,type,
    'identityFunctor$g': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_183,type,
    'mapO$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).

tff(func_def_184,type,
    'nTCod$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_185,type,
    'oppositeCategory$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_186,type,
    'constFunctor$l': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_187,type,
    'obj$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$' ).

tff(func_def_188,type,
    'uuc$': 'B_set$' > 'B_bool_fun$' ).

tff(func_def_189,type,
    'catCod$e': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_190,type,
    'lSCategory_ext$': ( 'B_ZF_fun$' * 'C$' ) > 'B_c_LSCategory_ext$' ).

tff(func_def_191,type,
    'catCod$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_192,type,
    'collect$b': 'A_bool_fun$' > 'A_set$' ).

tff(func_def_193,type,
    'natTransMap$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_fun$' ).

tff(func_def_194,type,
    'equivalence$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_195,type,
    'homSet$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF$' ).

tff(func_def_196,type,
    'mapM$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_ZF_fun$' ).

tff(func_def_197,type,
    'y$': 'A$' ).

tff(func_def_198,type,
    'uux$': 'ZF_ZF_fun$' ).

tff(func_def_199,type,
    'catDom$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_200,type,
    'catExp$j': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_201,type,
    'fun_app$ae': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_202,type,
    'catExp$g': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_203,type,
    'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_204,type,
    'extensional$a': 'B_set$' > 'B_ZF_fun_set$' ).

tff(func_def_205,type,
    'eta$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_206,type,
    'homFtorMapContra$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$' ) > 'ZF$' ).

tff(func_def_207,type,
    'fun_app$n': ( 'B_b_fun$' * 'B$' ) > 'B$' ).

tff(func_def_208,type,
    'extensional$c': 'A_set$' > 'A_b_fun_set$' ).

tff(func_def_209,type,
    'uuw$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_210,type,
    'dom_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_211,type,
    'functorComp$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_212,type,
    'functorComp$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_213,type,
    'category_ext$a': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_214,type,
    'id$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_fun$' ).

tff(func_def_215,type,
    'homFtorMap$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'B_ZF_fun$' ).

tff(func_def_216,type,
    'collect$f': 'B_a_fun_bool_fun$' > 'B_a_fun_set$' ).

tff(func_def_217,type,
    'uuq$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'ZF_ZF_fun$' ).

tff(func_def_218,type,
    'makeNT$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).

tff(func_def_219,type,
    'inverse$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_220,type,
    'mapM$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'ZF$' ).

tff(func_def_221,type,
    'restrict$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_222,type,
    'identityFunctor$e': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_223,type,
    'functorExt$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_224,type,
    'identityFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_225,type,
    'more_update$': ( 'Unit_unit_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_226,type,
    'zF2mor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$' ) > 'B$' ).

tff(func_def_227,type,
    'uuo$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'ZF_ZF_fun$' ).

tff(func_def_228,type,
    'uvc$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).

tff(func_def_229,type,
    'fun_app$ac': ( 'A_set_a_set_fun$' * 'A_set$' ) > 'A_set$' ).

tff(func_def_230,type,
    'category_ext$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_231,type,
    'mapM$b': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_232,type,
    'catExp$c': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_233,type,
    'mapO$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_234,type,
    'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).

tff(func_def_235,type,
    'zFfunDom$': 'ZF_ZF_fun$' ).

tff(func_def_236,type,
    'fun_app$w': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_237,type,
    'mapO$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_238,type,
    'mor$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).

tff(func_def_239,type,
    'zFfunApp$': 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_240,type,
    'collect$c': 'ZF_bool_fun$' > 'ZF_set$' ).

tff(func_def_241,type,
    'constFunctor$g': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_242,type,
    'fun_app$q': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_243,type,
    'constFunctor$f': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_244,type,
    'cod$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_245,type,
    'functorComp$i': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_246,type,
    'functor_comp_def$i': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_247,type,
    'catCod$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_248,type,
    'hOMCollection$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_set$' ).

tff(func_def_249,type,
    'uup$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'B_ZF_fun$' ).

tff(func_def_250,type,
    'mapO$h': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_251,type,
    'objIso$a': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).

tff(func_def_252,type,
    'comp$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_253,type,
    'nTDom$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_254,type,
    'isomorphism$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_bool_fun$' ).

tff(func_def_255,type,
    'makeNT$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_256,type,
    'idNatTrans$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_257,type,
    'makeFtor$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_258,type,
    'mapM$c': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'B$' ).

tff(func_def_259,type,
    'fun_app$z': ( 'Nat_ZF_fun$' * 'Nat$' ) > 'ZF$' ).

tff(func_def_260,type,
    'catExp$l': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_261,type,
    'makeFtor$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_262,type,
    'idNatTrans$f': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_263,type,
    'obj_update$a': ( 'A_set_a_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_264,type,
    'natTrans_ext$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_265,type,
    'functor_ext$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'Unit$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_266,type,
    'constFunctor$q': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_267,type,
    'elem$': 'ZF$' > 'ZF_bool_fun$' ).

tff(func_def_268,type,
    'mapsTo$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_269,type,
    'functorM$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_270,type,
    'comp$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).

tff(func_def_271,type,
    'fun_app$m': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).

tff(func_def_272,type,
    'nTCatCod$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_273,type,
    'makeNT$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' ).

tff(func_def_274,type,
    'idNatTrans$e': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_275,type,
    'catExp$b': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_276,type,
    'fun_app$': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_277,type,
    'makeNT$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_278,type,
    'uuv$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_279,type,
    'comp$d': 'ZF_ZF_fun$' > 'ZF_ZF_fun_ZF_ZF_fun_fun$' ).

tff(func_def_280,type,
    'makeCat$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_281,type,
    'catExp$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_282,type,
    'constFunctor$e': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).

tff(func_def_283,type,
    'yFtorNT$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_284,type,
    'makeFtor$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).

tff(func_def_285,type,
    'fun_app$p': ( 'B_ZF_fun$' * 'B$' ) > 'ZF$' ).

tff(func_def_286,type,
    'fun_app$aa': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_287,type,
    'catDom$d': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_288,type,
    'mor$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).

tff(func_def_289,type,
    'catCod$f': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_290,type,
    'catExp$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_291,type,
    'uvf$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_bool_fun$' ).

tff(func_def_292,type,
    'mapO$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).

tff(func_def_293,type,
    'mapM_update$': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_294,type,
    'id$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_295,type,
    'makeNT$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' ).

tff(func_def_296,type,
    'catExp$d': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_297,type,
    'uuj$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).

tff(func_def_298,type,
    'yFtor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_299,type,
    'homFtor$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_300,type,
    'preFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_301,type,
    'uva$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$' ) > 'B_bool_fun$' ).

tff(func_def_302,type,
    'pair$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).

tff(func_def_303,type,
    'natTransExt$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).

tff(func_def_304,type,
    'uuh$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_305,type,
    'more$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'C$' ).

tff(func_def_306,type,
    'fun_app$t': ( 'B_a_fun$' * 'B$' ) > 'A$' ).

tff(func_def_307,type,
    'collect$g': 'A_b_fun_bool_fun$' > 'A_b_fun_set$' ).

tff(func_def_308,type,
    'yFtorNT$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_309,type,
    'fun_app$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_310,type,
    'mor_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_311,type,
    'catExp$e': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_312,type,
    'natTransMap$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A$' ) > 'ZF$' ).

tff(func_def_313,type,
    'mapO$b': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_314,type,
    'nTCatDom$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_315,type,
    'nTCatDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_316,type,
    'isZFfun$': 'ZF_bool_fun$' ).

tff(func_def_317,type,
    'uvg$': 'ZF_ZF_prod_bool_fun$' ).

tff(func_def_318,type,
    'catCod$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).

tff(func_def_319,type,
    'mor$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_320,type,
    'uum$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_321,type,
    'nTCatCod$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

tff(func_def_322,type,
    'dom$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_323,type,
    'yFtor$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_324,type,
    'nt_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

tff(func_def_325,type,
    'id$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_326,type,
    'identityFunctor$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).

tff(func_def_327,type,
    'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).

tff(func_def_328,type,
    sK0: 'ZF_ZF_prod$' > 'ZF$' ).

tff(func_def_329,type,
    sK1: 'ZF_ZF_prod$' > 'ZF$' ).

tff(func_def_330,type,
    sK2: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_331,type,
    sK3: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_332,type,
    sK4: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).

tff(func_def_333,type,
    sK5: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).

tff(func_def_334,type,
    sK6: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).

tff(func_def_335,type,
    sK7: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).

tff(func_def_336,type,
    sK8: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).

tff(func_def_337,type,
    sK9: ( 'A_bool_fun$' * 'A_bool_fun$' ) > 'A$' ).

tff(func_def_338,type,
    sK10: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_339,type,
    sK11: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_340,type,
    sK12: ( 'B_b_prod_bool_fun$' * 'B_b_prod_bool_fun$' ) > 'B_b_prod$' ).

tff(func_def_341,type,
    sK13: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_342,type,
    sK14: ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).

tff(func_def_343,type,
    sK15: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_344,type,
    sK16: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_345,type,
    sK17: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_346,type,
    sK18: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_347,type,
    sK19: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_348,type,
    sK20: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_349,type,
    sK21: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_350,type,
    sK22: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_351,type,
    sK23: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_352,type,
    sK24: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_353,type,
    sK25: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_354,type,
    sK26: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_355,type,
    sK27: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_356,type,
    sK28: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).

tff(func_def_357,type,
    sK29: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).

tff(func_def_358,type,
    sK30: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_359,type,
    sK31: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_360,type,
    sK32: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_361,type,
    sK33: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_362,type,
    sK34: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_363,type,
    sK35: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_364,type,
    sK36: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_365,type,
    sK37: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_366,type,
    sK38: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_367,type,
    sK39: 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).

tff(func_def_368,type,
    sK40: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B$' ).

tff(func_def_369,type,
    sK41: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_370,type,
    sK42: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_371,type,
    sK43: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_372,type,
    sK44: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_373,type,
    sK45: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_374,type,
    sK46: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).

tff(func_def_375,type,
    sK47: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_376,type,
    sK48: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_377,type,
    sK49: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_378,type,
    sK50: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_379,type,
    sK51: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_380,type,
    sK52: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_381,type,
    sK53: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).

tff(func_def_382,type,
    sK55: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

tff(func_def_383,type,
    sK56: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_384,type,
    sK57: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_385,type,
    sK58: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_386,type,
    sK59: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_387,type,
    sK60: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_388,type,
    sK61: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_389,type,
    sK62: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

tff(func_def_390,type,
    sK64: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).

tff(func_def_391,type,
    sK65: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_392,type,
    sK66: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_393,type,
    sK67: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_394,type,
    sK68: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).

tff(func_def_395,type,
    sK69: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_396,type,
    sK70: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).

tff(func_def_397,type,
    sK71: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).

tff(func_def_398,type,
    sK73: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).

tff(func_def_399,type,
    sK74: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).

tff(func_def_400,type,
    sK75: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A$' ).

tff(func_def_401,type,
    sK76: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'B$' ).

tff(func_def_402,type,
    sK77: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_403,type,
    sK78: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_404,type,
    sK79: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_405,type,
    sK80: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_406,type,
    sK81: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_407,type,
    sK82: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_408,type,
    sK83: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_409,type,
    sK84: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_410,type,
    sK85: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_411,type,
    sK86: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_412,type,
    sK87: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_413,type,
    sK88: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_414,type,
    sK89: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_415,type,
    sK95: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_416,type,
    sK96: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_417,type,
    sK97: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_418,type,
    sK98: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_419,type,
    sK99: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_420,type,
    sK100: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_421,type,
    sK101: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_422,type,
    sK102: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_423,type,
    sK103: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_424,type,
    sK104: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_425,type,
    sK105: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_426,type,
    sK106: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_427,type,
    sK107: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_428,type,
    sK113: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_429,type,
    sK114: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_430,type,
    sK115: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_431,type,
    sK116: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_432,type,
    sK117: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_433,type,
    sK118: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_434,type,
    sK119: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_435,type,
    sK120: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_436,type,
    sK121: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_437,type,
    sK122: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_438,type,
    sK123: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).

tff(func_def_439,type,
    sK124: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_440,type,
    sK125: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).

tff(func_def_441,type,
    sK131: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_442,type,
    sK132: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_443,type,
    sK133: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_444,type,
    sK134: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_445,type,
    sK135: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_446,type,
    sK136: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_447,type,
    sK137: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_448,type,
    sK138: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_449,type,
    sK139: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_450,type,
    sK140: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_451,type,
    sK141: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_452,type,
    sK142: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_453,type,
    sK143: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_454,type,
    sK149: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'B$' ).

tff(func_def_455,type,
    sK150: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_456,type,
    sK151: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_457,type,
    sK152: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_458,type,
    sK153: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_459,type,
    sK154: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_460,type,
    sK155: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_461,type,
    sK156: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_462,type,
    sK157: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_463,type,
    sK158: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_464,type,
    sK159: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_465,type,
    sK160: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_466,type,
    sK161: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_467,type,
    sK162: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_468,type,
    sK163: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_469,type,
    sK164: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_470,type,
    sK165: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_471,type,
    sK166: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_472,type,
    sK167: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_473,type,
    sK168: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_474,type,
    sK169: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_475,type,
    sK170: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_476,type,
    sK171: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_477,type,
    sK172: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_478,type,
    sK173: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_479,type,
    sK174: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_480,type,
    sK175: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_481,type,
    sK176: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_482,type,
    sK177: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_483,type,
    sK178: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_484,type,
    sK179: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_485,type,
    sK180: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_486,type,
    sK181: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_487,type,
    sK182: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_488,type,
    sK183: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).

tff(func_def_489,type,
    sK184: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_490,type,
    sK185: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_491,type,
    sK186: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).

tff(func_def_492,type,
    sK187: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_493,type,
    sK188: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_494,type,
    sK189: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_495,type,
    sK190: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).

tff(func_def_496,type,
    sK191: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_497,type,
    sK192: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_498,type,
    sK193: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_499,type,
    sK194: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_500,type,
    sK195: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_501,type,
    sK196: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_502,type,
    sK197: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_503,type,
    sK198: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_504,type,
    sK199: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_505,type,
    sK200: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_506,type,
    sK201: 'ZF_bool_fun$' > 'ZF$' ).

tff(func_def_507,type,
    sK202: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_508,type,
    sK203: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_509,type,
    sK204: ( 'ZF$' * 'Nat_ZF_fun$' ) > 'Nat$' ).

tff(func_def_510,type,
    sK205: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_511,type,
    sK206: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).

tff(func_def_512,type,
    sK207: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_513,type,
    sK208: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).

tff(func_def_514,type,
    sK209: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_515,type,
    sK210: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_516,type,
    sK211: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_517,type,
    sK212: ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_518,type,
    sK213: ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).

tff(func_def_519,type,
    sK214: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_520,type,
    sK215: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_521,type,
    sK216: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_522,type,
    sK217: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_523,type,
    sK218: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_524,type,
    sK219: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_525,type,
    sK220: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_526,type,
    sK221: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(pred_def_1,type,
    'functor$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_2,type,
    'functor_comp_def$h': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_3,type,
    'functor$m': 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_4,type,
    'functorM$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_5,type,
    'functorM$d': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_6,type,
    'fun_app$b': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).

tff(pred_def_7,type,
    'natTransP$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_8,type,
    'functor$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_9,type,
    'preFunctor$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_10,type,
    'member$f': ( 'B_a_fun$' * 'B_a_fun_set$' ) > $o ).

tff(pred_def_11,type,
    'fun_app$f': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_12,type,
    'preFunctor$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_13,type,
    'preFunctor$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_14,type,
    'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

tff(pred_def_15,type,
    'member$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ) > $o ).

tff(pred_def_16,type,
    'category$d': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_17,type,
    'member$j': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ) > $o ).

tff(pred_def_18,type,
    'natTransExt$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_19,type,
    'functor$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_20,type,
    'functor_abbrev$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > $o ).

tff(pred_def_21,type,
    'functor_comp_def$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_22,type,
    'category$a': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_23,type,
    'member$k': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$' ) > $o ).

tff(pred_def_24,type,
    'functor_comp_def$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).

tff(pred_def_25,type,
    'category$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_26,type,
    'functor_abbrev$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_27,type,
    'nt_abbrev$d': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_28,type,
    'functorM_axioms$': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_29,type,
    'preFunctor$d': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_30,type,
    'functorM$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_31,type,
    'functorExt$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_32,type,
    'functorM$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_33,type,
    'fun_app$h': ( 'B_ZF_fun_bool_fun$' * 'B_ZF_fun$' ) > $o ).

tff(pred_def_34,type,
    'functorM$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_35,type,
    'functorM_axioms$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_36,type,
    'functorM$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_37,type,
    'member$d': ( 'ZF$' * 'ZF_set$' ) > $o ).

tff(pred_def_38,type,
    'nTCompDefined$a': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > $o ).

tff(pred_def_39,type,
    'preFunctor$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_40,type,
    'natTrans$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_41,type,
    'fun_app$l': ( 'A_bool_fun$' * 'A$' ) > $o ).

tff(pred_def_42,type,
    'functor_abbrev$a': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > $o ).

tff(pred_def_43,type,
    'functor$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_44,type,
    'category$i': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_45,type,
    'nt_abbrev$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).

tff(pred_def_46,type,
    'member$g': ( 'A_b_fun$' * 'A_b_fun_set$' ) > $o ).

tff(pred_def_47,type,
    'category$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_48,type,
    'fun_app$j': ( 'A_b_fun_bool_fun$' * 'A_b_fun$' ) > $o ).

tff(pred_def_49,type,
    'natTransExt$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_50,type,
    'functor_abbrev$d': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_51,type,
    'category_axioms$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_52,type,
    'category$h': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_53,type,
    'lSCategory_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

tff(pred_def_54,type,
    'preFunctor$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_55,type,
    'functorExt$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_56,type,
    'category$c': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

tff(pred_def_57,type,
    'functor$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_58,type,
    'fun_app$g': ( 'B_b_prod_bool_fun$' * 'B_b_prod$' ) > $o ).

tff(pred_def_59,type,
    'extCategory$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

tff(pred_def_60,type,
    'functorM$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_61,type,
    'functorM$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_62,type,
    'functor_comp_def$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_63,type,
    'member$l': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$' ) > $o ).

tff(pred_def_64,type,
    'preFunctor$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_65,type,
    'functor$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_66,type,
    'functorM_axioms$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_67,type,
    'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_68,type,
    'natTransExt$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_69,type,
    'compDefined$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > $o ).

tff(pred_def_70,type,
    'category_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).

tff(pred_def_71,type,
    'functor_comp_def$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_72,type,
    'functor_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_73,type,
    'functorM$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_74,type,
    'member$m': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$' ) > $o ).

tff(pred_def_75,type,
    'member$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ) > $o ).

tff(pred_def_76,type,
    'functor$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_77,type,
    'natTransP$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_78,type,
    'natTrans$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_79,type,
    'mapsTo$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_80,type,
    'fun_app$e': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > $o ).

tff(pred_def_81,type,
    'functor_abbrev$e': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_82,type,
    'functor$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_83,type,
    'functorM$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_84,type,
    'fun_app$k': ( 'B_bool_fun$' * 'B$' ) > $o ).

tff(pred_def_85,type,
    'natTrans$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_86,type,
    'natTrans$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_87,type,
    'member$n': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_set$' ) > $o ).

tff(pred_def_88,type,
    'functorExt$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_89,type,
    'member$h': ( 'B$' * 'B_set$' ) > $o ).

tff(pred_def_90,type,
    'functorM_axioms$b': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_91,type,
    'functor_comp_def$d': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_92,type,
    'member$i': ( 'A$' * 'A_set$' ) > $o ).

tff(pred_def_93,type,
    'functor$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_94,type,
    'category$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_95,type,
    'natTransP$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).

tff(pred_def_96,type,
    'category$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_97,type,
    'nt_abbrev$a': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_98,type,
    'functor$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_99,type,
    'member$o': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$' ) > $o ).

tff(pred_def_100,type,
    'equivalence_axioms$a': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_101,type,
    'category_axioms$a': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_102,type,
    'preFunctor$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_103,type,
    'fun_app$a': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).

tff(pred_def_104,type,
    'preFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_105,type,
    'natTransP$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_106,type,
    'member$c': ( 'B_b_prod$' * 'B_b_prod_set$' ) > $o ).

tff(pred_def_107,type,
    'preFunctor$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_108,type,
    'functor_abbrev$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_109,type,
    'member$p': ( 'B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$' ) > $o ).

tff(pred_def_110,type,
    'category$j': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_111,type,
    'member$b': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > $o ).

tff(pred_def_112,type,
    'preFunctor$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_113,type,
    'functor_comp_def$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).

tff(pred_def_114,type,
    'natTransExt$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).

tff(pred_def_115,type,
    'functor$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_116,type,
    'category$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_117,type,
    'functorExt$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_118,type,
    'functorM$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_119,type,
    'functor$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_120,type,
    'fun_app$i': ( 'B_a_fun_bool_fun$' * 'B_a_fun$' ) > $o ).

tff(pred_def_121,type,
    'functorM$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).

tff(pred_def_122,type,
    'equivalence$a': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

tff(pred_def_123,type,
    'preFunctor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).

tff(pred_def_124,type,
    'functor_comp_def$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_125,type,
    'nt_abbrev$b': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).

tff(pred_def_126,type,
    'category$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).

tff(pred_def_127,type,
    'member$e': ( 'B_ZF_fun$' * 'B_ZF_fun_set$' ) > $o ).

tff(pred_def_128,type,
    sP54: ( 'ZF$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_129,type,
    sP63: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_130,type,
    sP72: ( 'ZF$' * 'A$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).

tff(pred_def_131,type,
    sP90: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_132,type,
    sP91: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_133,type,
    sP92: ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_134,type,
    sP93: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_135,type,
    sP94: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_136,type,
    sP108: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_137,type,
    sP109: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_138,type,
    sP110: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_139,type,
    sP111: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_140,type,
    sP112: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_141,type,
    sP126: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_142,type,
    sP127: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_143,type,
    sP128: ( 'A$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_144,type,
    sP129: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_145,type,
    sP130: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).

tff(pred_def_146,type,
    sP144: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_147,type,
    sP145: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_148,type,
    sP146: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_149,type,
    sP147: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(pred_def_150,type,
    sP148: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).

tff(f35,conjecture,
    'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) = 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture34) ).

tff(f36,negated_conjecture,
    ( ( ~ 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) ) = 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

tff(f37,axiom,
    'lSCategory$'('c$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom35) ).

tff(f38,axiom,
    'member$i'('x$','obj$b'('c$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom36) ).

tff(f39,axiom,
    'member$i'('y$','obj$b'('c$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom37) ).

tff(f41,axiom,
    'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom39) ).

tff(f49,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$'] : ( 'yMapInv$'(X0,X1,X2,X3) = 'makeNT$'('yMapInv$a'(X0,X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom47) ).

tff(f73,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
      ( ( 'lSCategory$'(X0)
        & 'member$i'(X1,'obj$b'(X0))
        & 'member$i'(X2,'obj$b'(X0))
        & 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2)) )
     => ( 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2)
        & ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom71) ).

tff(f341,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$'(X0) = 'makeFtor$d'('yFtor$a'(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom339) ).

tff(f468,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'yMap$'(X0,X1,X2) = 'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'(X2,X1)),'fun_app$p'('mor2ZF$'(X0),'fun_app$r'('id$b'(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom466) ).

tff(f489,axiom,
    ! [X0: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 'makeFtor$d'(X0) = 'functor_ext$'('catDom$'(X0),'catCod$'(X0),'restrict$b'('mapM$'(X0),'mor$'('catDom$'(X0))),'more$c'(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom487) ).

tff(f546,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'oppositeCategory$'(X0) = 'category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom544) ).

tff(f558,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$a'(X0) = 'functor_ext$'(X0,'catExp$'('oppositeCategory$'(X0),'set$'),'yFtorNT$'(X0),'unity$') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom556) ).

tff(f560,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$'] : ( 'yMapInv$a'(X0,X1,X2,X3) = 'natTrans_ext$'('mapO$'('yFtor$'(X0),X1),X2,'uur$'(X0,X1,X2,X3),'unity$') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom558) ).

tff(f564,axiom,
    ! [X0: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A$'] : ( 'mapO$'(X0,X1) = 'the$a'('uuv$'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom562) ).

tff(f581,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'ZF$'] : ( 'zF2mor$'(X0,X1) = 'the$b'('uva$'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom579) ).

tff(f591,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$'] : ( 'hOMCollection$'(X0,X1,X2) = 'collect$c'('uvf$'(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom589) ).

tff(f593,axiom,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom591) ).

tff(f626,plain,
    'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
    inference(flattening,[],[f36]) ).

tff(f746,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
      ( ( 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2)
        & ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 ) )
      | ~ 'lSCategory$'(X0)
      | ~ 'member$i'(X1,'obj$b'(X0))
      | ~ 'member$i'(X2,'obj$b'(X0))
      | ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f73]) ).

tff(f747,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
      ( ( 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2)
        & ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 ) )
      | ~ 'lSCategory$'(X0)
      | ~ 'member$i'(X1,'obj$b'(X0))
      | ~ 'member$i'(X2,'obj$b'(X0))
      | ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2)) ),
    inference(flattening,[],[f746]) ).

tff(f1417,plain,
    'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
    inference(cnf_transformation,[],[f626]) ).

tff(f1418,plain,
    'lSCategory$'('c$'),
    inference(cnf_transformation,[],[f37]) ).

tff(f1419,plain,
    'member$i'('x$','obj$b'('c$')),
    inference(cnf_transformation,[],[f38]) ).

tff(f1420,plain,
    'member$i'('y$','obj$b'('c$')),
    inference(cnf_transformation,[],[f39]) ).

tff(f1422,plain,
    'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
    inference(cnf_transformation,[],[f41]) ).

tff(f1430,plain,
    ! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'yMapInv$'(X0,X1,X2,X3) = 'makeNT$'('yMapInv$a'(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f49]) ).

tff(f1459,plain,
    ! [X2: 'A$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] :
      ( ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2))
      | ~ 'member$i'(X2,'obj$b'(X0))
      | ~ 'member$i'(X1,'obj$b'(X0))
      | ~ 'lSCategory$'(X0)
      | ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 ) ),
    inference(cnf_transformation,[],[f747]) ).

tff(f1729,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$'(X0) = 'makeFtor$d'('yFtor$a'(X0)) ),
    inference(cnf_transformation,[],[f341]) ).

tff(f2066,plain,
    ! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'yMap$'(X0,X1,X2) = 'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'(X2,X1)),'fun_app$p'('mor2ZF$'(X0),'fun_app$r'('id$b'(X0),X1))) ),
    inference(cnf_transformation,[],[f468]) ).

tff(f2094,plain,
    ! [X0: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$'] : ( 'makeFtor$d'(X0) = 'functor_ext$'('catDom$'(X0),'catCod$'(X0),'restrict$b'('mapM$'(X0),'mor$'('catDom$'(X0))),'more$c'(X0)) ),
    inference(cnf_transformation,[],[f489]) ).

tff(f2215,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'oppositeCategory$'(X0) = 'category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)) ),
    inference(cnf_transformation,[],[f546]) ).

tff(f2227,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$a'(X0) = 'functor_ext$'(X0,'catExp$'('oppositeCategory$'(X0),'set$'),'yFtorNT$'(X0),'unity$') ),
    inference(cnf_transformation,[],[f558]) ).

tff(f2229,plain,
    ! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'yMapInv$a'(X0,X1,X2,X3) = 'natTrans_ext$'('mapO$'('yFtor$'(X0),X1),X2,'uur$'(X0,X1,X2,X3),'unity$') ),
    inference(cnf_transformation,[],[f560]) ).

tff(f2233,plain,
    ! [X0: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A$'] : ( 'mapO$'(X0,X1) = 'the$a'('uuv$'(X0,X1)) ),
    inference(cnf_transformation,[],[f564]) ).

tff(f2258,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'ZF$'] : ( 'zF2mor$'(X0,X1) = 'the$b'('uva$'(X0,X1)) ),
    inference(cnf_transformation,[],[f581]) ).

tff(f2276,plain,
    ! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'hOMCollection$'(X0,X1,X2) = 'collect$c'('uvf$'(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f591]) ).

tff(f2278,plain,
    ! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('hOMCollection$'(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f593]) ).

tff(f2337,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$a'(X0) = 'functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$') ),
    inference(definition_unfolding,[],[f2227,f2215]) ).

tff(f2340,plain,
    ! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$'] : ( 'yFtor$'(X0) = 'functor_ext$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'catCod$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'restrict$b'('mapM$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'mor$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')))),'more$c'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$'))) ),
    inference(definition_unfolding,[],[f1729,f2094,f2337]) ).

tff(f2341,plain,
    ! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'yMapInv$a'(X0,X1,X2,X3) = 'natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'catCod$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'restrict$b'('mapM$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'mor$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')))),'more$c'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$'))),X1)),X2,'uur$'(X0,X1,X2,X3),'unity$') ),
    inference(definition_unfolding,[],[f2229,f2233,f2340]) ).

tff(f2342,plain,
    ! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'yMapInv$'(X0,X1,X2,X3) = 'makeNT$'('natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'catCod$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'restrict$b'('mapM$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')),'mor$'('catDom$'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$')))),'more$c'('functor_ext$'(X0,'catExp$'('category_ext$'('obj$b'(X0),'mor$'(X0),'cod$'(X0),'dom$'(X0),'id$b'(X0),'uuj$'(X0),'more$a'(X0)),'set$'),'yFtorNT$'(X0),'unity$'))),X1)),X2,'uur$'(X0,X1,X2,X3),'unity$')) ),
    inference(definition_unfolding,[],[f1430,f2341]) ).

tff(f2343,plain,
    ! [X2: 'A$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] : ( 'homSet$'(X0,X1,X2) = 'implode$'('collect$c'('uvf$'(X0,X1,X2))) ),
    inference(definition_unfolding,[],[f2278,f2276]) ).

tff(f2350,plain,
    'makeNT$'('natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'x$')),'the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'uur$'('c$','x$','the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'fun_app$p'('mor2ZF$'('c$'),'the$b'('uva$'('c$','fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$'))))))),'unity$')) != 'makeNT$'('natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'x$')),'the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'uur$'('c$','x$','the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))),'unity$')),
    inference(definition_unfolding,[],[f1417,f2342,f2233,f2340,f2258,f2066,f2342,f2233,f2340,f2066]) ).

tff(f2352,plain,
    'fun_app$b'('elem$'('fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))),'implode$'('collect$c'('uvf$'('c$','x$','y$')))),
    inference(definition_unfolding,[],[f1422,f2066,f2343]) ).

tff(f2380,plain,
    ! [X2: 'A$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] :
      ( ~ 'fun_app$b'('elem$'(X3),'implode$'('collect$c'('uvf$'(X0,X1,X2))))
      | ~ 'member$i'(X2,'obj$b'(X0))
      | ~ 'member$i'(X1,'obj$b'(X0))
      | ~ 'lSCategory$'(X0)
      | ( 'fun_app$p'('mor2ZF$'(X0),'the$b'('uva$'(X0,X3))) = X3 ) ),
    inference(definition_unfolding,[],[f1459,f2343,f2258]) ).

tff(f2640,plain,
    ( ~ 'member$i'('y$','obj$b'('c$'))
    | ~ 'member$i'('x$','obj$b'('c$'))
    | ~ 'lSCategory$'('c$')
    | ( 'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$'))) = 'fun_app$p'('mor2ZF$'('c$'),'the$b'('uva$'('c$','fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))))) ) ),
    inference(resolution,[],[f2380,f2352]) ).

tff(f2642,plain,
    ( ~ 'member$i'('x$','obj$b'('c$'))
    | ~ 'lSCategory$'('c$')
    | ( 'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$'))) = 'fun_app$p'('mor2ZF$'('c$'),'the$b'('uva$'('c$','fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))))) ) ),
    inference(forward_subsumption_resolution,[],[f2640,f1420]) ).

tff(f2643,plain,
    ( ~ 'lSCategory$'('c$')
    | ( 'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$'))) = 'fun_app$p'('mor2ZF$'('c$'),'the$b'('uva$'('c$','fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))))) ) ),
    inference(forward_subsumption_resolution,[],[f2642,f1419]) ).

tff(f2644,plain,
    'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$'))) = 'fun_app$p'('mor2ZF$'('c$'),'the$b'('uva$'('c$','fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))))),
    inference(forward_subsumption_resolution,[],[f2643,f1418]) ).

tff(f2766,plain,
    'makeNT$'('natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'x$')),'the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'uur$'('c$','x$','the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))),'unity$')) != 'makeNT$'('natTrans_ext$'('the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'x$')),'the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'uur$'('c$','x$','the$a'('uuv$'('functor_ext$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'catCod$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'restrict$b'('mapM$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')),'mor$'('catDom$'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$')))),'more$c'('functor_ext$'('c$','catExp$'('category_ext$'('obj$b'('c$'),'mor$'('c$'),'cod$'('c$'),'dom$'('c$'),'id$b'('c$'),'uuj$'('c$'),'more$a'('c$')),'set$'),'yFtorNT$'('c$'),'unity$'))),'y$')),'fun_app$'('fun_app$m'('zFfunApp$','natTransMap$b'('eta$','x$')),'fun_app$p'('mor2ZF$'('c$'),'fun_app$r'('id$b'('c$'),'x$')))),'unity$')),
    inference(forward_demodulation,[],[f2350,f2644]) ).

tff(f2767,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2766]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP305_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 12:53:46 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/0.64  % (788452)Will run a generic schedule for satisfiability detection.
% 0.91/0.64  % (788475)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3919986833:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.91/0.64  % (788470)% WARNING: option uhcvi not known.
% 0.91/0.64  % (788470)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=408332426:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.91/0.64  % (788469)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2956579430_2999 on theBenchmark for (2999ds/0Mi)
% 0.91/0.64  % (788471)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2143015633:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.91/0.64  % (788472)dis+10_1_sil=32000:sp=arity:random_seed=3728154585:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.91/0.64  % (788474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2986912592:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.91/0.64  % (788476)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2028414260:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.91/0.64  % (788475)Instruction limit reached! 
% 0.91/0.64  % (788475)------------------------------
% 0.91/0.64  % (788475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.64  % (788475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.64  % (788475)CaDiCaL version: 2.1.3
% 0.91/0.64  % (788475)Termination reason: Instruction limit
% 0.91/0.64  % (788475)Termination phase: Saturation
% 0.91/0.64  % (788475)Time elapsed: 0.040 s
% 0.91/0.64  % (788475)Peak memory usage: 15 MB
% 0.91/0.64  % (788475)Instructions burned: 134 (million)
% 0.91/0.64  % (788504)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3127417132:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.91/0.64  % (788472)Instruction limit reached! 
% 0.91/0.64  % (788472)------------------------------
% 0.91/0.64  % (788472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.64  % (788472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.64  % (788472)CaDiCaL version: 2.1.3
% 0.91/0.64  % (788472)Termination reason: Instruction limit
% 0.91/0.64  % (788472)Termination phase: Saturation
% 0.91/0.64  % (788472)Time elapsed: 0.056 s
% 0.91/0.64  % (788472)Peak memory usage: 14 MB
% 0.91/0.64  % (788472)Instructions burned: 104 (million)
% 0.91/0.64  % (788474)Instruction limit reached! 
% 0.91/0.64  % (788474)------------------------------
% 0.91/0.64  % (788474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.64  % (788474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.64  % (788474)CaDiCaL version: 2.1.3
% 0.91/0.64  % (788474)Termination reason: Instruction limit
% 0.91/0.64  % (788474)Termination phase: Saturation
% 0.91/0.64  % (788474)Time elapsed: 0.057 s
% 0.91/0.64  % (788474)Peak memory usage: 13 MB
% 0.91/0.64  % (788474)Instructions burned: 117 (million)
% 0.91/0.64  % (788513)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2322386626:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.91/0.64  % (788515)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1150219993:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.91/0.64  % (788476)Instruction limit reached! 
% 0.91/0.64  % (788476)------------------------------
% 0.91/0.64  % (788476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.64  % (788476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.64  % (788476)CaDiCaL version: 2.1.3
% 0.91/0.64  % (788476)Termination reason: Instruction limit
% 0.91/0.64  % (788476)Termination phase: Saturation
% 0.91/0.64  % (788476)Time elapsed: 0.087 s
% 0.91/0.64  % (788476)Peak memory usage: 15 MB
% 0.91/0.64  % (788476)Instructions burned: 160 (million)
% 0.91/0.64  % (788532)ott-21_1_sil=16000:fs=off:random_seed=3741475769:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.91/0.64  % (788515) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-788452-788515"...
% 0.91/0.64  % (788515)...printing done.
% 0.91/0.64  % (788515)Refutation found. Thanks to Tanya!
% 0.91/0.64  % SZS status Theorem for theBenchmark
% 0.91/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.91/0.65  % (788515)------------------------------
% 0.91/0.65  % (788515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.65  % (788515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.65  % (788515)CaDiCaL version: 2.1.3
% 0.91/0.65  % (788515)Termination reason: Refutation
% 0.91/0.65  % (788515)Time elapsed: 0.053 s
% 0.91/0.65  % (788515)Peak memory usage: 14 MB
% 0.91/0.65  % (788515)Instructions burned: 100 (million)
% 0.91/0.65  % (788452)Success in time 0.215 s
% 0.91/0.65  % Vampire exiting
%------------------------------------------------------------------------------