%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:27:05 EDT 2022

% Result   : Theorem 10.84s 1.79s
% Output   : Refutation 10.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      : 1162
% Syntax   : Number of formulae    : 1183 (  10 unt;1155 typ;   0 def)
%            Number of atoms       :   64 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  28   ~;  21   |;  10   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :  186 ( 184 usr;   1 ari)
%            Number of type conns  : 1786 ( 910   >; 876   *;   0   +;   0  <<)
%            Number of predicates  :  116 ( 114 usr;   1 prp; 0-4 aty)
%            Number of functors    :  857 ( 857 usr;  61 con; 0-7 aty)
%            Number of variables   :   60 (  55   !;   5   ?;  60   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_98,type,
    'Bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_99,type,
    'M_o_fun$': $tType ).

tff(type_def_100,type,
    'T_f_Expression_bool_fun$': $tType ).

tff(type_def_101,type,
    'M_set$': $tType ).

tff(type_def_102,type,
    'O_o_bool_fun_fun$': $tType ).

tff(type_def_103,type,
    'T_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_104,type,
    'O_m_IType_o_m_IType_fun$': $tType ).

tff(type_def_105,type,
    'T_f_unit_Signature_ext$': $tType ).

tff(type_def_106,type,
    'T_o_fun_t_o_fun_fun$': $tType ).

tff(type_def_107,type,
    'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_108,type,
    'T_f_Language$': $tType ).

tff(type_def_109,type,
    'O_o_fun_o_o_fun_bool_fun_fun$': $tType ).

tff(type_def_110,type,
    'O_t_Expression$': $tType ).

tff(type_def_111,type,
    tlbool: $tType ).

tff(type_def_112,type,
    'Bool_o_m_IType_fun$': $tType ).

tff(type_def_113,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$': $tType ).

tff(type_def_114,type,
    'M_m_fun$': $tType ).

tff(type_def_115,type,
    'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun$': $tType ).

tff(type_def_116,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_117,type,
    'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$': $tType ).

tff(type_def_118,type,
    'T_f_Expression_t_f_Expression_fun$': $tType ).

tff(type_def_119,type,
    'F_m_fun_f_m_fun_fun$': $tType ).

tff(type_def_120,type,
    'M_m_prod_m_fun_bool_fun$': $tType ).

tff(type_def_121,type,
    'M_m_fun_o_m_IType_o_m_IType_fun_fun$': $tType ).

tff(type_def_122,type,
    'T$': $tType ).

tff(type_def_123,type,
    'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_124,type,
    'F_t_fun$': $tType ).

tff(type_def_125,type,
    'F_o_unit_Signature_ext$': $tType ).

tff(type_def_126,type,
    'T_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_127,type,
    'T_t_fun$': $tType ).

tff(type_def_128,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_129,type,
    'O_o_fun$': $tType ).

tff(type_def_130,type,
    'F_nat_fun$': $tType ).

tff(type_def_131,type,
    'F_t_unit_Signature_ext$': $tType ).

tff(type_def_132,type,
    'T_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_133,type,
    'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$': $tType ).

tff(type_def_134,type,
    'M_m_prod_bool_fun$': $tType ).

tff(type_def_135,type,
    'O_o_m_IType_fun_bool_fun$': $tType ).

tff(type_def_136,type,
    'M_o_unit_Signature_ext$': $tType ).

tff(type_def_137,type,
    'M_m_IType_o_m_IType_fun_m_m_IType_o_m_IType_fun_bool_fun_fun$': $tType ).

tff(type_def_138,type,
    'T_set$': $tType ).

tff(type_def_139,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$': $tType ).

tff(type_def_140,type,
    'T_f_Language_t_f_Language_bool_fun_fun$': $tType ).

tff(type_def_141,type,
    'O_t_fun_o_t_fun_fun$': $tType ).

tff(type_def_142,type,
    'O_m_fun_set$': $tType ).

tff(type_def_143,type,
    'Bool_bool_fun$': $tType ).

tff(type_def_144,type,
    'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_145,type,
    'M_o_fun_set$': $tType ).

tff(type_def_146,type,
    'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$': $tType ).

tff(type_def_147,type,
    'T_o_o_m_unit_Interpretation_ext$': $tType ).

tff(type_def_148,type,
    'T_f_Expression_nat_fun$': $tType ).

tff(type_def_149,type,
    'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_150,type,
    'Bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_151,type,
    'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$': $tType ).

tff(type_def_152,type,
    'T_f_o_m_unit_Interpretation_ext$': $tType ).

tff(type_def_153,type,
    'T_t_fun_t_t_fun_fun$': $tType ).

tff(type_def_154,type,
    'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$': $tType ).

tff(type_def_155,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_156,type,
    'T_bool_fun$': $tType ).

tff(type_def_157,type,
    'M_m_fun_o_m_IType_o_m_IType_fun_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_158,type,
    'T_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_159,type,
    'O_m_unit_Category_ext$': $tType ).

tff(type_def_160,type,
    'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$': $tType ).

tff(type_def_161,type,
    'F_set_f_set_fun$': $tType ).

tff(type_def_162,type,
    'O_o_Language$': $tType ).

tff(type_def_163,type,
    'M_m_IType_m_m_IType_bool_fun_fun$': $tType ).

tff(type_def_164,type,
    'T_t_unit_Signature_ext$': $tType ).

tff(type_def_165,type,
    'O_m_IType_bool_fun$': $tType ).

tff(type_def_166,type,
    'Bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_167,type,
    'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$': $tType ).

tff(type_def_168,type,
    'Unit$': $tType ).

tff(type_def_169,type,
    'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_170,type,
    'T_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_171,type,
    'F_bool_fun$': $tType ).

tff(type_def_172,type,
    'F_m_fun$': $tType ).

tff(type_def_173,type,
    'O_m_IType_o_m_IType_bool_fun_fun$': $tType ).

tff(type_def_174,type,
    'O_t_Language$': $tType ).

tff(type_def_175,type,
    'T_t_Expression$': $tType ).

tff(type_def_176,type,
    'F_f_fun$': $tType ).

tff(type_def_177,type,
    'O_set_o_set_fun$': $tType ).

tff(type_def_178,type,
    'Bool_o_m_IType_fun_bool_o_m_IType_fun_bool_fun_fun$': $tType ).

tff(type_def_179,type,
    'T_f_Language_t_f_Language_fun_t_f_Language_t_f_Language_fun_bool_fun_fun$': $tType ).

tff(type_def_180,type,
    'M_m_prod_set$': $tType ).

tff(type_def_181,type,
    'T_t_o_m_unit_Interpretation_ext$': $tType ).

tff(type_def_182,type,
    'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$': $tType ).

tff(type_def_183,type,
    'T_t_IType_t_f_Language_fun_t_t_IType_t_f_Language_fun_bool_fun_fun$': $tType ).

tff(type_def_184,type,
    'T_f_Language_bool_fun$': $tType ).

tff(type_def_185,type,
    'T_nat_fun$': $tType ).

tff(type_def_186,type,
    'Bool_bool_bool_fun_fun$': $tType ).

tff(type_def_187,type,
    'Bool_o_m_IType_fun_bool_fun$': $tType ).

tff(type_def_188,type,
    'T_o_Expression$': $tType ).

tff(func_def_0,type,
    'fun_app$q': ( 'T_t_bool_fun_fun$' * 'T$' ) > 'T_bool_fun$' ).

tff(func_def_1,type,
    'rel_fun$al': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'Bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_2,type,
    'rec_IType$e': 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' ).

tff(func_def_3,type,
    'rel_fun$r': ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'T_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_4,type,
    'iTypes_update$': ( 'T_o_fun_t_o_fun_fun$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_5,type,
    'fun_app$as': ( 'M_set_m_set_fun$' * 'M_set$' ) > 'M_set$' ).

tff(func_def_6,type,
    'sigDom$g': 'M_o_unit_Signature_ext$' > 'O_m_fun$' ).

tff(func_def_7,type,
    'collect$': 'M_m_prod_bool_fun$' > 'M_m_prod_set$' ).

tff(func_def_8,type,
    'sigDom$i': ( 'T_m_unit_Signature_ext$' * 'M$' ) > 'T$' ).

tff(func_def_9,type,
    'case_IType$c': 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' ).

tff(func_def_10,type,
    'pred_IType$': ( 'O_bool_fun$' * 'M_bool_fun$' ) > 'O_m_IType_bool_fun$' ).

tff(func_def_11,type,
    'mapsTo$': ( 'O_m_unit_Category_ext$' * 'M$' ) > 'O_o_bool_fun_fun$' ).

tff(func_def_12,type,
    'iSignature$': 'T_f_o_m_unit_Interpretation_ext$' > 'T_f_unit_Signature_ext$' ).

tff(func_def_13,type,
    'fun_app$ad': ( 'T_o_fun$' * 'T$' ) > 'O$' ).

tff(func_def_14,type,
    'iTypes$': 'T_f_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_15,type,
    'funsignature_abbrev$f': ( 'T$' * 'F_t_unit_Signature_ext$' ) > 'F_f_bool_fun_fun$' ).

tff(func_def_16,type,
    'fun_app$ba': ( 'F_t_fun$' * 'F$' ) > 'T$' ).

tff(func_def_17,type,
    'iCategory$': 'T_f_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_18,type,
    'more_update$b': 'Unit_unit_fun$' > 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ).

tff(func_def_19,type,
    'more$': 'T_f_o_m_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_20,type,
    'baseTypes$h': 'F_o_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_21,type,
    'sigCod$e': ( 'M_t_unit_Signature_ext$' * 'T$' ) > 'M$' ).

tff(func_def_22,type,
    'rel_fun$bd': ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O_m_IType_o_m_IType_fun_o_m_IType_o_m_IType_fun_bool_fun_fun$' ).

tff(func_def_23,type,
    'fun_app$l': ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_f_Language$' ) > 'T_f_Language_bool_fun$' ).

tff(func_def_24,type,
    'fun_app$au': ( 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun$' ) > 'M_m_m_fun_fun$' ).

tff(func_def_25,type,
    'sigDom$f': ( 'F_t_unit_Signature_ext$' * 'T$' ) > 'F$' ).

tff(func_def_26,type,
    'inverse$': 'O_m_unit_Category_ext$' > 'M_m_fun$' ).

tff(func_def_27,type,
    'iCategory$a': 'O_o_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_28,type,
    'fun_app$aa': ( 'T_f_Expression_t_f_Expression_fun$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_29,type,
    'fun_app$bo': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun$' ).

tff(func_def_30,type,
    'baseFunctions$i': 'T_m_unit_Signature_ext$' > 'M_set$' ).

tff(func_def_31,type,
    'rel_fun$av': ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' ) > 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' ).

tff(func_def_32,type,
    'rel_fun$h': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_33,type,
    'fun_app$be': ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' ) > 'T_t_fun$' ).

tff(func_def_34,type,
    'sigDom$a': 'T_o_unit_Signature_ext$' > 'O_t_fun$' ).

tff(func_def_35,type,
    'iObj$': 'O_o_m_IType_fun$' ).

tff(func_def_36,type,
    'rel_fun$aj': ( 'T_t_IType_t_t_IType_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'T_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_37,type,
    'fun_app$ay': ( 'T_t_fun$' * 'T$' ) > 'T$' ).

tff(func_def_38,type,
    'funsignature_abbrev$i': ( 'M$' * 'T_m_unit_Signature_ext$' ) > 'T_t_bool_fun_fun$' ).

tff(func_def_39,type,
    'fun_app$bu': ( 'F_f_fun$' * 'F$' ) > 'F$' ).

tff(func_def_40,type,
    'sigCod$c': 'T_t_unit_Signature_ext$' > 'T_t_fun$' ).

tff(func_def_41,type,
    'iSignature$d': 'T_t_o_m_unit_Interpretation_ext$' > 'T_t_unit_Signature_ext$' ).

tff(func_def_42,type,
    'rel_fun$q': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_43,type,
    'baseTypes_update$d': 'T_set_t_set_fun$' > 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ).

tff(func_def_44,type,
    'iCategory$b': 'T_o_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_45,type,
    'uut$': 'T_f_Language_t_f_Language_bool_fun_fun$' ).

tff(func_def_46,type,
    'size$': 'T_f_Expression$' > 'Nat$' ).

tff(func_def_47,type,
    'eq_onp$a': 'M_bool_fun$' > 'M_m_bool_fun_fun$' ).

tff(func_def_48,type,
    'sigDom_update$b': ( 'O_t_fun_o_t_fun_fun$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_49,type,
    'cod$': 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_50,type,
    'rel_IType$b': ( 'M_m_bool_fun_fun$' * 'M_m_bool_fun_fun$' ) > 'M_m_IType_m_m_IType_bool_fun_fun$' ).

tff(func_def_51,type,
    'baseFunctions$c': 'O_t_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_52,type,
    'signature_ext$c': ( 'O_set$' * 'T_set$' * 'T_o_fun$' * 'T_o_fun$' * 'Unit$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_53,type,
    'fun_app$u': ( 'M_m_fun$' * 'M$' ) > 'M$' ).

tff(func_def_54,type,
    'baseFunctions$g': 'M_o_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_55,type,
    'uue$': 'M_m_prod_set$' > 'M_m_prod_bool_fun$' ).

tff(func_def_56,type,
    'fun_app$ar': ( 'T_set_t_set_fun$' * 'T_set$' ) > 'T_set$' ).

tff(func_def_57,type,
    'uui$': 'M_m_bool_fun_fun$' ).

tff(func_def_58,type,
    'fun_app$s': ( 'M_m_bool_fun_fun$' * 'M$' ) > 'M_bool_fun$' ).

tff(func_def_59,type,
    'more$d': 'T_o_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_60,type,
    'rec_IType$': 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' ).

tff(func_def_61,type,
    'rel_fun$aw': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'Bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_bool_fun_fun$' ) > 'F_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_62,type,
    'rec_IType$a': 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_63,type,
    'extensional$': 'M_set$' > 'M_o_fun_set$' ).

tff(func_def_64,type,
    'rel_fun$b': ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' ).

tff(func_def_65,type,
    'uuh$': 'O_o_bool_fun_fun$' ).

tff(func_def_66,type,
    'obj$': 'O_m_unit_Category_ext$' > 'O_set$' ).

tff(func_def_67,type,
    'fun_app$t': ( 'F_f_bool_fun_fun$' * 'F$' ) > 'F_bool_fun$' ).

tff(func_def_68,type,
    'uuc$': 'M_m_prod_m_fun_set$' > 'M_m_prod_m_fun_bool_fun$' ).

tff(func_def_69,type,
    'rel_fun$ai': ( 'Bool_bool_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_70,type,
    'collect$c': 'M_o_fun_bool_fun$' > 'M_o_fun_set$' ).

tff(func_def_71,type,
    'eq_onp$b': 'O_m_IType_bool_fun$' > 'O_m_IType_o_m_IType_bool_fun_fun$' ).

tff(func_def_72,type,
    'a$': 'T$' ).

tff(func_def_73,type,
    'rel_fun$bf': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_bool_fun_fun$' ) > 'F_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_bool_fun_fun$' ).

tff(func_def_74,type,
    'uub$': 'M_o_fun_set$' > 'M_o_fun_bool_fun$' ).

tff(func_def_75,type,
    'case_Language$': 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' ).

tff(func_def_76,type,
    'sigDom$b': 'O_t_unit_Signature_ext$' > 'T_o_fun$' ).

tff(func_def_77,type,
    'rec_IType$b': 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_78,type,
    'uuw$': 'T_nat_fun$' ).

tff(func_def_79,type,
    'restrict$': ( 'M_m_prod_m_fun$' * 'M_m_prod_set$' ) > 'M_m_prod_m_fun$' ).

tff(func_def_80,type,
    'fun_app$w': ( 'M_m_prod_m_fun$' * 'M_m_prod$' ) > 'M$' ).

tff(func_def_81,type,
    'fun_app$af': ( 'O_m_fun$' * 'O$' ) > 'M$' ).

tff(func_def_82,type,
    'rel_fun$bb': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'Bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' ) > 'M_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_83,type,
    'iFunctions$a': 'O_o_o_m_unit_Interpretation_ext$' > 'O_m_fun$' ).

tff(func_def_84,type,
    'fun_app$ab': ( 'F_t_f_Expression_t_f_Expression_fun_fun$' * 'F$' ) > 'T_f_Expression_t_f_Expression_fun$' ).

tff(func_def_85,type,
    'rel_fun$ao': ( 'T_t_IType_t_t_IType_bool_fun_fun$' * 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_86,type,
    'fun_app$bi': ( 'O_o_m_IType_fun_o_o_m_IType_fun_bool_fun_fun$' * 'O_o_m_IType_fun$' ) > 'O_o_m_IType_fun_bool_fun$' ).

tff(func_def_87,type,
    'rel_fun$p': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_88,type,
    'fun_app$br': ( 'O_m_IType_o_m_IType_fun$' * 'O_m_IType$' ) > 'O_m_IType$' ).

tff(func_def_89,type,
    'more$c': 'O_o_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_90,type,
    'fun_app$bw': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun$' ).

tff(func_def_91,type,
    'rel_fun$a': ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O_o_m_IType_fun_o_o_m_IType_fun_bool_fun_fun$' ).

tff(func_def_92,type,
    'fun_app$av': ( 'O_m_fun_o_m_fun_fun$' * 'O_m_fun$' ) > 'O_m_fun$' ).

tff(func_def_93,type,
    'the$': 'M_bool_fun$' > 'M$' ).

tff(func_def_94,type,
    'rel_fun$w': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_95,type,
    'sigDom_update$c': ( 'T_o_fun_t_o_fun_fun$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_96,type,
    'rel_fun$as': ( 'Bool_o_m_IType_fun_bool_o_m_IType_fun_bool_fun_fun$' * 'M_m_IType_o_m_IType_fun_m_m_IType_o_m_IType_fun_bool_fun_fun$' ) > 'Bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_fun_fun$' ).

tff(func_def_97,type,
    'collect$g': 'O_bool_fun$' > 'O_set$' ).

tff(func_def_98,type,
    'signature_ext$a': ( 'O_set$' * 'O_set$' * 'O_o_fun$' * 'O_o_fun$' * 'Unit$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_99,type,
    'map_IType$': 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' ).

tff(func_def_100,type,
    'iTypes$d': 'T_t_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_101,type,
    'rel_fun$ax': ( 'Bool_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_f_IType_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_102,type,
    'baseFunctions$': 'T_f_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_103,type,
    'fun_app$aj': ( 'O_o_m_IType_fun$' * 'O$' ) > 'O_m_IType$' ).

tff(func_def_104,type,
    'sigCod$d': 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_105,type,
    'sigCod$f': ( 'F_t_unit_Signature_ext$' * 'T$' ) > 'F$' ).

tff(func_def_106,type,
    'baseFunctions$a': 'O_o_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_107,type,
    'iSignature$a': 'O_o_o_m_unit_Interpretation_ext$' > 'O_o_unit_Signature_ext$' ).

tff(func_def_108,type,
    'funsignature_abbrev$h': ( 'O$' * 'F_o_unit_Signature_ext$' ) > 'F_f_bool_fun_fun$' ).

tff(func_def_109,type,
    'uul$': 'O_m_unit_Category_ext$' > 'M_m_prod_bool_fun$' ).

tff(func_def_110,type,
    'more$f': 'T_t_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_111,type,
    'rel_IType$a': ( 'T_t_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > 'T_t_IType_t_t_IType_bool_fun_fun$' ).

tff(func_def_112,type,
    'sigDom$c': 'T_t_unit_Signature_ext$' > 'T_t_fun$' ).

tff(func_def_113,type,
    'uuk$': 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_114,type,
    'eq_onp$e': 'T_f_Language_bool_fun$' > 'T_f_Language_t_f_Language_bool_fun_fun$' ).

tff(func_def_115,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_116,type,
    'rel_fun$i': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_117,type,
    'sigDom$': 'O_o_unit_Signature_ext$' > 'O_o_fun$' ).

tff(func_def_118,type,
    'rec_IType$d': 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' ).

tff(func_def_119,type,
    'exprVar$d': 'T_t_Expression$' ).

tff(func_def_120,type,
    'rel_fun$o': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_121,type,
    'sigCod$g': 'M_o_unit_Signature_ext$' > 'O_m_fun$' ).

tff(func_def_122,type,
    'sigDom_update$a': ( 'O_o_fun_o_o_fun_fun$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_123,type,
    'fun_app$': ( 'T_nat_fun$' * 'T$' ) > 'Nat$' ).

tff(func_def_124,type,
    'sigDom$e': ( 'M_t_unit_Signature_ext$' * 'T$' ) > 'M$' ).

tff(func_def_125,type,
    'rel_fun$': ( 'Bool_bool_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'Bool_o_m_IType_fun_bool_o_m_IType_fun_bool_fun_fun$' ).

tff(func_def_126,type,
    'mor$': 'O_m_unit_Category_ext$' > 'M_set$' ).

tff(func_def_127,type,
    'funsignature_abbrev$c': ( 'T$' * 'O_t_unit_Signature_ext$' ) > 'O_o_bool_fun_fun$' ).

tff(func_def_128,type,
    'eq_onp$': 'O_bool_fun$' > 'O_o_bool_fun_fun$' ).

tff(func_def_129,type,
    'rel_fun$ar': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'Bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_bool_fun_fun$' ) > 'M_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_130,type,
    'equation$d': 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' ).

tff(func_def_131,type,
    'pred_Language$': ( 'T_bool_fun$' * 'F_bool_fun$' ) > 'T_f_Language_bool_fun$' ).

tff(func_def_132,type,
    'sigDom_update$': 'F_t_fun_f_t_fun_fun$' > 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ).

tff(func_def_133,type,
    'baseTypes_update$b': ( 'O_set_o_set_fun$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_134,type,
    'baseFunctions$f': 'F_t_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_135,type,
    'map_Expression$': ( 'T_t_fun$' * 'F_f_fun$' ) > 'T_f_Expression_t_f_Expression_fun$' ).

tff(func_def_136,type,
    'fun_app$ag': ( 'O_o_fun$' * 'O$' ) > 'O$' ).

tff(func_def_137,type,
    'rel_fun$aq': ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' ).

tff(func_def_138,type,
    'more$a': 'O_m_unit_Category_ext$' > 'Unit$' ).

tff(func_def_139,type,
    'eq_onp$c': 'T_bool_fun$' > 'T_t_bool_fun_fun$' ).

tff(func_def_140,type,
    'iCategory$c': 'O_t_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_141,type,
    'pred_Expression$': ( 'T_bool_fun$' * 'F_bool_fun$' ) > 'T_f_Expression_bool_fun$' ).

tff(func_def_142,type,
    'rel_fun$ac': ( 'Bool_t_f_Language_fun_bool_t_f_Language_fun_bool_fun_fun$' * 'T_t_IType_t_f_Language_fun_t_t_IType_t_f_Language_fun_bool_fun_fun$' ) > 'Bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_bool_fun_fun$' ).

tff(func_def_143,type,
    'rel_fun$e': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_144,type,
    'signature_ext$d': ( 'T_set$' * 'T_set$' * 'T_t_fun$' * 'T_t_fun$' * 'Unit$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_145,type,
    'fun_app$bq': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun$' ) > 'F_t_f_Expression_t_f_Expression_fun_fun_bool_fun$' ).

tff(func_def_146,type,
    'obj_update$': 'O_set_o_set_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_147,type,
    'more_update$': ( 'Unit_unit_fun$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_148,type,
    'collect$e': 'F_bool_fun$' > 'F_set$' ).

tff(func_def_149,type,
    'baseFunctions$d': 'T_t_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_150,type,
    'baseTypes$d': 'T_t_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_151,type,
    'collect$f': 'T_bool_fun$' > 'T_set$' ).

tff(func_def_152,type,
    'rel_fun$d': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_153,type,
    'rel_fun$g': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_f_Language_t_f_Language_fun_t_f_Language_t_f_Language_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_bool_fun_fun$' ).

tff(func_def_154,type,
    'funsignature_abbrev$b': ( 'O$' * 'T_o_unit_Signature_ext$' ) > 'T_t_bool_fun_fun$' ).

tff(func_def_155,type,
    'uus$': 'F_f_bool_fun_fun$' ).

tff(func_def_156,type,
    'rel_fun$bj': ( 'M_m_fun_m_m_fun_bool_fun_fun$' * 'O_m_IType_o_m_IType_fun_o_m_IType_o_m_IType_fun_bool_fun_fun$' ) > 'M_m_fun_o_m_IType_o_m_IType_fun_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' ).

tff(func_def_157,type,
    'fun_app$z': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' * 'T$' ) > 'T_f_Expression_t_t_f_Language_fun_fun$' ).

tff(func_def_158,type,
    'interpretation_ext$': ( 'T_f_unit_Signature_ext$' * 'O_m_unit_Category_ext$' * 'T_o_fun$' * 'F_m_fun$' * 'Unit$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_159,type,
    'f$': 'F$' ).

tff(func_def_160,type,
    'case_IType$e': 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' ).

tff(func_def_161,type,
    'baseTypes_update$': ( 'O_set_o_set_fun$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_162,type,
    'eq_onp$d': 'F_bool_fun$' > 'F_f_bool_fun_fun$' ).

tff(func_def_163,type,
    'iTypes$a': 'O_o_o_m_unit_Interpretation_ext$' > 'O_o_fun$' ).

tff(func_def_164,type,
    tltrue: tlbool ).

tff(func_def_165,type,
    'fun_app$ap': ( 'F_m_fun_f_m_fun_fun$' * 'F_m_fun$' ) > 'F_m_fun$' ).

tff(func_def_166,type,
    'funsignature_abbrev$e': ( 'T$' * 'M_t_unit_Signature_ext$' ) > 'M_m_bool_fun_fun$' ).

tff(func_def_167,type,
    'baseFunctions$b': 'T_o_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_168,type,
    'rel_fun$n': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_169,type,
    'extensional$a': 'O_set$' > 'O_m_fun_set$' ).

tff(func_def_170,type,
    'baseTypes$b': 'T_o_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_171,type,
    'fun_app$aq': ( 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_172,type,
    'rel_fun$v': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'T_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_173,type,
    'term$b': ( 'T$' * 'T_o_Expression$' * 'T$' ) > 'T_o_Language$' ).

tff(func_def_174,type,
    'fun_app$ax': ( 'F_set_f_set_fun$' * 'F_set$' ) > 'F_set$' ).

tff(func_def_175,type,
    'iSignature_update$': ( 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_176,type,
    'uuq$': 'M_bool_fun$' ).

tff(func_def_177,type,
    'fun_app$at': ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' ) > 'T_o_fun$' ).

tff(func_def_178,type,
    'comp_update$': 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_179,type,
    'rel_Expression$': ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_bool_fun_fun$' ).

tff(func_def_180,type,
    'sigCod$': 'O_o_unit_Signature_ext$' > 'O_o_fun$' ).

tff(func_def_181,type,
    'fun_app$bm': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun$' ) > 'M_o_m_IType_fun_bool_fun$' ).

tff(func_def_182,type,
    'dom$': 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_183,type,
    'size_Language$': ( 'T_nat_fun$' * 'F_nat_fun$' * 'T_f_Language$' ) > 'Nat$' ).

tff(func_def_184,type,
    def_1: ( 'M$' * 'M$' ) > tlbool ).

tff(func_def_185,type,
    'case_IType$a': 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_186,type,
    'equation$c': ( 'T$' * 'T_t_Expression$' * 'T_t_Expression$' * 'T$' ) > 'T_t_Language$' ).

tff(func_def_187,type,
    'more_update$a': 'Unit_unit_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_188,type,
    'iSignature$b': 'T_o_o_m_unit_Interpretation_ext$' > 'T_o_unit_Signature_ext$' ).

tff(func_def_189,type,
    'rel_IType$c': ( 'F_f_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'F_f_IType_f_f_IType_bool_fun_fun$' ).

tff(func_def_190,type,
    'fun_app$bk': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Language_fun$' ) > 'T_t_f_Language_fun_bool_fun$' ).

tff(func_def_191,type,
    'category_ext$': ( 'O_set$' * 'M_set$' * 'M_o_fun$' * 'M_o_fun$' * 'O_m_fun$' * 'M_m_m_fun_fun$' * 'Unit$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_192,type,
    'baseFunctions_update$c': ( 'T_set_t_set_fun$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_193,type,
    'fun_app$v': ( 'M_m_m_fun_fun$' * 'M$' ) > 'M_m_fun$' ).

tff(func_def_194,type,
    'rel_fun$y': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_195,type,
    'sigCod_update$a': ( 'O_o_fun_o_o_fun_fun$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_196,type,
    'case_prod$': 'M_m_m_fun_fun$' > 'M_m_prod_m_fun$' ).

tff(func_def_197,type,
    'baseTypes$i': 'T_m_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_198,type,
    'i$': 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_199,type,
    'fun_app$az': ( 'O_t_fun$' * 'O$' ) > 'T$' ).

tff(func_def_200,type,
    'type$d': 'T$' > 'T_t_Language$' ).

tff(func_def_201,type,
    'iTypes$c': 'O_t_o_m_unit_Interpretation_ext$' > 'O_o_fun$' ).

tff(func_def_202,type,
    'rel_fun$az': ( 'F_f_IType_f_f_IType_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' ) > 'F_f_IType_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' ).

tff(func_def_203,type,
    'rel_Language$': ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Language_t_f_Language_bool_fun_fun$' ).

tff(func_def_204,type,
    'b$a': 'T$' ).

tff(func_def_205,type,
    'ea$': 'T_f_Expression$' ).

tff(func_def_206,type,
    'iTypes$b': 'T_o_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_207,type,
    'rel_fun$u': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_208,type,
    'collect$a': 'M_bool_fun$' > 'M_set$' ).

tff(func_def_209,type,
    'restrict$a': ( 'M_o_fun$' * 'M_set$' ) > 'M_o_fun$' ).

tff(func_def_210,type,
    'objIso$': 'O_m_unit_Category_ext$' > 'O_o_bool_fun_fun$' ).

tff(func_def_211,type,
    'rel_fun$ay': ( 'Bool_bool_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' ).

tff(func_def_212,type,
    'term$a': ( 'O$' * 'O_o_Expression$' * 'O$' ) > 'O_o_Language$' ).

tff(func_def_213,type,
    'uum$': 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_214,type,
    def_2: ( 'M$' * 'M$' ) > tlbool ).

tff(func_def_215,type,
    'uud$': 'F_set$' > 'F_bool_fun$' ).

tff(func_def_216,type,
    'rel_fun$ag': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'Bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_217,type,
    'uu$': 'M_set$' > 'M_bool_fun$' ).

tff(func_def_218,type,
    'fun_app$ae': ( 'F_m_fun$' * 'F$' ) > 'M$' ).

tff(func_def_219,type,
    'mor_update$': 'M_set_m_set_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_220,type,
    'sigCod_update$b': ( 'O_t_fun_o_t_fun_fun$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_221,type,
    'uua$': 'O_m_fun_set$' > 'O_m_fun_bool_fun$' ).

tff(func_def_222,type,
    'funsignature_abbrev$a': ( 'O$' * 'O_o_unit_Signature_ext$' ) > 'O_o_bool_fun_fun$' ).

tff(func_def_223,type,
    'sigCod$i': ( 'T_m_unit_Signature_ext$' * 'M$' ) > 'T$' ).

tff(func_def_224,type,
    'uuj$': 'O_m_IType_o_m_IType_bool_fun_fun$' ).

tff(func_def_225,type,
    'oppositeCategory$': 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_226,type,
    'fun_app$ao': ( 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_227,type,
    'uuo$': 'F_bool_fun$' ).

tff(func_def_228,type,
    'type$a': 'O$' > 'O_o_Language$' ).

tff(func_def_229,type,
    'rel_fun$at': ( 'M_m_IType_m_m_IType_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M_m_IType_o_m_IType_fun_m_m_IType_o_m_IType_fun_bool_fun_fun$' ).

tff(func_def_230,type,
    'funsignature_abbrev$d': ( 'T$' * 'T_t_unit_Signature_ext$' ) > 'T_t_bool_fun_fun$' ).

tff(func_def_231,type,
    'baseTypes$c': 'O_t_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_232,type,
    'iFunctions$d': ( 'T_t_o_m_unit_Interpretation_ext$' * 'T$' ) > 'M$' ).

tff(func_def_233,type,
    'sigCod$a': 'T_o_unit_Signature_ext$' > 'O_t_fun$' ).

tff(func_def_234,type,
    'fun_app$bx': ( 'T_f_Expression_nat_fun$' * 'T_f_Expression$' ) > 'Nat$' ).

tff(func_def_235,type,
    'baseFunctions_update$b': ( 'O_set_o_set_fun$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_236,type,
    'uuv$': 'Bool_bool_bool_fun_fun$' ).

tff(func_def_237,type,
    'sigCod$h': ( 'F_o_unit_Signature_ext$' * 'O$' ) > 'F$' ).

tff(func_def_238,type,
    'signature_ext$b': ( 'T_set$' * 'O_set$' * 'O_t_fun$' * 'O_t_fun$' * 'Unit$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_239,type,
    'baseTypes$f': 'F_t_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_240,type,
    'fun_app$bs': ( 'M_m_fun_o_m_IType_o_m_IType_fun_fun$' * 'M_m_fun$' ) > 'O_m_IType_o_m_IType_fun$' ).

tff(func_def_241,type,
    'fun_app$ah': ( 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun$' * 'T_f_Expression$' ) > 'T_f_Expression_t_t_f_Language_fun_fun$' ).

tff(func_def_242,type,
    'type$': 'T_t_f_Language_fun$' ).

tff(func_def_243,type,
    'uuf$': 'T_set$' > 'T_bool_fun$' ).

tff(func_def_244,type,
    'g$': 'M$' ).

tff(func_def_245,type,
    'fun_app$r': ( 'O_o_bool_fun_fun$' * 'O$' ) > 'O_bool_fun$' ).

tff(func_def_246,type,
    'fun_app$bb': ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' ) > 'F_t_fun$' ).

tff(func_def_247,type,
    'rel_fun$ae': ( 'T_t_IType_t_t_IType_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_t_IType_t_f_Language_fun_t_t_IType_t_f_Language_fun_bool_fun_fun$' ).

tff(func_def_248,type,
    'baseFunctions$e': 'M_t_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_249,type,
    'case_Language$b': 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_250,type,
    'collect$d': 'M_m_prod_m_fun_bool_fun$' > 'M_m_prod_m_fun_set$' ).

tff(func_def_251,type,
    'sigDom$h': ( 'F_o_unit_Signature_ext$' * 'O$' ) > 'F$' ).

tff(func_def_252,type,
    'uur$': 'T_t_bool_fun_fun$' ).

tff(func_def_253,type,
    'sigCod_update$d': ( 'T_t_fun_t_t_fun_fun$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_254,type,
    'exprApp$b': ( 'O$' * 'T_o_Expression$' ) > 'T_o_Expression$' ).

tff(func_def_255,type,
    'rel_fun$z': ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_256,type,
    'id_update$': 'O_m_fun_o_m_fun_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_257,type,
    'signature_ext$': ( 'T_set$' * 'F_set$' * 'F_t_fun$' * 'F_t_fun$' * 'Unit$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_258,type,
    'i$a': 'O_m_IType$' ).

tff(func_def_259,type,
    'rel_fun$bc': ( 'Bool_o_m_IType_fun_bool_o_m_IType_fun_bool_fun_fun$' * 'O_m_IType_o_m_IType_fun_o_m_IType_o_m_IType_fun_bool_fun_fun$' ) > 'Bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' ).

tff(func_def_260,type,
    'size_Expression$': ( 'T_nat_fun$' * 'F_nat_fun$' ) > 'T_f_Expression_nat_fun$' ).

tff(func_def_261,type,
    'fun_app$bz': ( 'F_nat_fun$' * 'F$' ) > 'Nat$' ).

tff(func_def_262,type,
    'equation$b': ( 'O$' * 'O_t_Expression$' * 'O_t_Expression$' * 'O$' ) > 'O_t_Language$' ).

tff(func_def_263,type,
    'rel_fun$bg': ( 'F_f_IType_f_f_IType_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_bool_fun_fun$' ) > 'F_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_bool_fun_fun$' ).

tff(func_def_264,type,
    'map_IType$a': 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' ).

tff(func_def_265,type,
    'iSignature$c': 'O_t_o_m_unit_Interpretation_ext$' > 'O_t_unit_Signature_ext$' ).

tff(func_def_266,type,
    'rel_fun$ah': ( 'Bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_267,type,
    'b$': 'T$' ).

tff(func_def_268,type,
    'more$b': 'T_f_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_269,type,
    'rec_Language$b': 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_270,type,
    'term$c': ( 'O$' * 'O_t_Expression$' * 'O$' ) > 'O_t_Language$' ).

tff(func_def_271,type,
    'baseFunctions_update$d': ( 'T_set_t_set_fun$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_272,type,
    'rel_fun$l': ( 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_273,type,
    'baseTypes$': 'T_f_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_274,type,
    'map_Language$': ( 'T_t_fun$' * 'F_f_fun$' * 'T_f_Language$' ) > 'T_f_Language$' ).

tff(func_def_275,type,
    'fun_app$p': ( 'Bool_bool_bool_fun_fun$' * tlbool ) > 'Bool_bool_fun$' ).

tff(func_def_276,type,
    'rel_fun$ad': ( 'Bool_bool_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'Bool_t_f_Language_fun_bool_t_f_Language_fun_bool_fun_fun$' ).

tff(func_def_277,type,
    'sigCod_update$': 'F_t_fun_f_t_fun_fun$' > 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ).

tff(func_def_278,type,
    'term$': 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' ).

tff(func_def_279,type,
    'rel_fun$bl': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' ).

tff(func_def_280,type,
    'fun_app$bd': ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' ) > 'O_t_fun$' ).

tff(func_def_281,type,
    'exprApp$c': ( 'T$' * 'O_t_Expression$' ) > 'O_t_Expression$' ).

tff(func_def_282,type,
    'baseTypes$e': 'M_t_unit_Signature_ext$' > 'M_set$' ).

tff(func_def_283,type,
    'baseTypes_update$a': ( 'T_set_t_set_fun$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_284,type,
    'rec_Language$a': 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_285,type,
    'fun_app$n': ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'O_m_IType$' ) > 'O_m_IType_bool_fun$' ).

tff(func_def_286,type,
    'rel_IType$d': ( 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_bool_fun_fun$' ) > 'T_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_bool_fun_fun$' ).

tff(func_def_287,type,
    'rel_fun$f': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' ) > 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ).

tff(func_def_288,type,
    'fun_app$bt': ( 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' * 'O_o_fun$' ) > 'M_m_fun_o_m_IType_o_m_IType_fun_fun$' ).

tff(func_def_289,type,
    'term$d': ( 'T$' * 'T_t_Expression$' * 'T$' ) > 'T_t_Language$' ).

tff(func_def_290,type,
    'exprVar$c': 'O_t_Expression$' ).

tff(func_def_291,type,
    tlfalse: tlbool ).

tff(func_def_292,type,
    'equation$a': ( 'T$' * 'T_o_Expression$' * 'T_o_Expression$' * 'T$' ) > 'T_o_Language$' ).

tff(func_def_293,type,
    'rel_fun$ab': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'Bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_bool_fun_fun$' ) > 'T_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_294,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_295,type,
    'comp$': 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_296,type,
    'case_IType$': 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' ).

tff(func_def_297,type,
    'exprVar$': 'T_f_Expression$' ).

tff(func_def_298,type,
    'baseTypes_update$c': ( 'T_set_t_set_fun$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_299,type,
    'fun_app$ak': ( 'Bool_o_m_IType_fun$' * tlbool ) > 'O_m_IType$' ).

tff(func_def_300,type,
    'exprVar$b': 'T_o_Expression$' ).

tff(func_def_301,type,
    'baseFunctions_update$a': ( 'O_set_o_set_fun$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_302,type,
    'size$a': 'O_m_IType$' > 'Nat$' ).

tff(func_def_303,type,
    'rel_fun$j': ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Language_t_f_Language_fun_t_f_Language_t_f_Language_fun_bool_fun_fun$' ).

tff(func_def_304,type,
    'sigCod_update$c': ( 'T_o_fun_t_o_fun_fun$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_305,type,
    'fun_app$x': ( 'T_t_f_Language_fun$' * 'T$' ) > 'T_f_Language$' ).

tff(func_def_306,type,
    'extensional$b': 'M_m_prod_set$' > 'M_m_prod_m_fun_set$' ).

tff(func_def_307,type,
    'rel_fun$t': ( 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_308,type,
    'baseFunctions$h': 'F_o_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_309,type,
    'uup$': 'O_bool_fun$' ).

tff(func_def_310,type,
    'eq_onp$f': 'T_f_Expression_bool_fun$' > 'T_f_Expression_t_f_Expression_bool_fun_fun$' ).

tff(func_def_311,type,
    'rec_IType$c': 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' ).

tff(func_def_312,type,
    'sigCod$b': 'O_t_unit_Signature_ext$' > 'T_o_fun$' ).

tff(func_def_313,type,
    'compDefined$': 'O_m_unit_Category_ext$' > 'M_m_bool_fun_fun$' ).

tff(func_def_314,type,
    'iFunctions$': 'T_f_o_m_unit_Interpretation_ext$' > 'F_m_fun$' ).

tff(func_def_315,type,
    'iFunctions_update$': ( 'F_m_fun_f_m_fun_fun$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_316,type,
    'baseFunctions_update$': 'F_set_f_set_fun$' > 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ).

tff(func_def_317,type,
    'rec_Language$': 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' ).

tff(func_def_318,type,
    'fun_app$by': ( 'M_nat_fun$' * 'M$' ) > 'Nat$' ).

tff(func_def_319,type,
    'fun_app$bg': ( 'Bool_o_m_IType_fun_bool_o_m_IType_fun_bool_fun_fun$' * 'Bool_o_m_IType_fun$' ) > 'Bool_o_m_IType_fun_bool_fun$' ).

tff(func_def_320,type,
    'fun_app$ac': ( 'M_o_m_IType_fun$' * 'M$' ) > 'O_m_IType$' ).

tff(func_def_321,type,
    'rel_fun$x': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_322,type,
    'iBool$': 'Bool_o_m_IType_fun$' ).

tff(func_def_323,type,
    'cod_update$': 'M_o_fun_m_o_fun_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_324,type,
    'exprApp$a': ( 'O$' * 'O_o_Expression$' ) > 'O_o_Expression$' ).

tff(func_def_325,type,
    def_4: ( 'M$' * 'M$' ) > tlbool ).

tff(func_def_326,type,
    'collect$b': 'O_m_fun_bool_fun$' > 'O_m_fun_set$' ).

tff(func_def_327,type,
    'sigDom_update$d': ( 'T_t_fun_t_t_fun_fun$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_328,type,
    'rel_fun$bk': ( 'M_m_bool_fun_fun$' * 'M_m_bool_fun_fun$' ) > 'M_m_fun_m_m_fun_bool_fun_fun$' ).

tff(func_def_329,type,
    'sigDom$d': 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_330,type,
    'funsignature_abbrev$g': ( 'O$' * 'M_o_unit_Signature_ext$' ) > 'M_m_bool_fun_fun$' ).

tff(func_def_331,type,
    'iCategory_update$': ( 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_332,type,
    'baseTypes$a': 'O_o_unit_Signature_ext$' > 'O_set$' ).

tff(func_def_333,type,
    'rel_fun$bi': ( 'O_o_bool_fun_fun$' * 'O_o_bool_fun_fun$' ) > 'O_o_fun_o_o_fun_bool_fun_fun$' ).

tff(func_def_334,type,
    'rel_fun$am': ( 'Bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_335,type,
    'fun_app$y': ( 'T_f_Expression_t_t_f_Language_fun_fun$' * 'T_f_Expression$' ) > 'T_t_f_Language_fun$' ).

tff(func_def_336,type,
    'fun_app$am': ( 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_337,type,
    'isomorphism$': 'O_m_unit_Category_ext$' > 'M_bool_fun$' ).

tff(func_def_338,type,
    'size_IType$': ( 'O_nat_fun$' * 'M_nat_fun$' * 'O_m_IType$' ) > 'Nat$' ).

tff(func_def_339,type,
    'dom_update$': 'M_o_fun_m_o_fun_fun$' > 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_340,type,
    'uug$': 'O_set$' > 'O_bool_fun$' ).

tff(func_def_341,type,
    'restrict$b': ( 'O_m_fun$' * 'O_set$' ) > 'O_m_fun$' ).

tff(func_def_342,type,
    'rel_fun$m': ( 'T_t_bool_fun_fun$' * 'T_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' ) > 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_343,type,
    'uuu$': 'T_f_Expression_t_f_Expression_bool_fun_fun$' ).

tff(func_def_344,type,
    'case_IType$d': 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' ).

tff(func_def_345,type,
    'case_IType$b': 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_346,type,
    'type$b': 'T$' > 'T_o_Language$' ).

tff(func_def_347,type,
    'type$c': 'O$' > 'O_t_Language$' ).

tff(func_def_348,type,
    'baseTypes$g': 'M_o_unit_Signature_ext$' > 'M_set$' ).

tff(func_def_349,type,
    'exprApp$d': ( 'T$' * 'T_t_Expression$' ) > 'T_t_Expression$' ).

tff(func_def_350,type,
    'iFunctions$b': 'T_o_o_m_unit_Interpretation_ext$' > 'O_m_fun$' ).

tff(func_def_351,type,
    def_3: ( 'M$' * 'M$' ) > tlbool ).

tff(func_def_352,type,
    'size$b': 'T_f_Language$' > 'Nat$' ).

tff(func_def_353,type,
    'inverse_rel$': 'O_m_unit_Category_ext$' > 'M_m_bool_fun_fun$' ).

tff(func_def_354,type,
    'fun_app$an': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_355,type,
    'exprApp$': 'F_t_f_Expression_t_f_Expression_fun_fun$' ).

tff(func_def_356,type,
    'iFunctions$c': ( 'O_t_o_m_unit_Interpretation_ext$' * 'T$' ) > 'M$' ).

tff(func_def_357,type,
    'exprVar$a': 'O_o_Expression$' ).

tff(func_def_358,type,
    'rel_fun$an': ( 'Bool_bool_bool_fun_fun$' * 'T_f_Expression_t_t_f_Language_fun_fun_t_f_Expression_t_t_f_Language_fun_fun_bool_fun_fun$' ) > 'Bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' ).

tff(func_def_359,type,
    'rel_IType$': ( 'O_o_bool_fun_fun$' * 'M_m_bool_fun_fun$' ) > 'O_m_IType_o_m_IType_bool_fun_fun$' ).

tff(func_def_360,type,
    'iMor$': 'M_o_m_IType_fun$' ).

tff(func_def_361,type,
    'makeCat$': 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ).

tff(func_def_362,type,
    'case_Language$a': 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ).

tff(func_def_363,type,
    'equation$': ( 'O$' * 'O_o_Expression$' * 'O_o_Expression$' * 'O$' ) > 'O_o_Language$' ).

tff(func_def_364,type,
    'fun_app$ai': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' * 'T$' ) > 'T_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun$' ).

tff(func_def_365,type,
    'more$e': 'O_t_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_366,type,
    'fun_app$j': ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'T_f_Expression$' ) > 'T_f_Expression_bool_fun$' ).

tff(func_def_367,type,
    'fun_app$aw': ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' ) > 'M_o_fun$' ).

tff(func_def_368,type,
    'funsignature_abbrev$': ( 'F$' * 'T_f_unit_Signature_ext$' ) > 'T_t_bool_fun_fun$' ).

tff(func_def_369,type,
    'iCategory$d': 'T_t_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_370,type,
    'id$': 'O_m_unit_Category_ext$' > 'O_m_fun$' ).

tff(func_def_371,type,
    'uun$': 'T_bool_fun$' ).

tff(func_def_372,type,
    'pair$': ( 'M$' * 'M$' ) > 'M_m_prod$' ).

tff(func_def_373,type,
    'fun_app$bc': ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' ) > 'O_o_fun$' ).

tff(func_def_374,type,
    'fun_app$al': ( 'M_o_fun$' * 'M$' ) > 'O$' ).

tff(func_def_379,type,
    sK51: ( 'F_set_f_set_fun$' * 'F_set$' * 'F_set_f_set_fun$' ) > 'F_set$' ).

tff(func_def_380,type,
    sK52: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_381,type,
    sK53: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_382,type,
    sK54: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_383,type,
    sK55: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_384,type,
    sK56: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_385,type,
    sK57: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_386,type,
    sK58: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_387,type,
    sK59: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_388,type,
    sK60: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_389,type,
    sK61: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_390,type,
    sK62: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_391,type,
    sK63: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_392,type,
    sK64: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_393,type,
    sK65: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_394,type,
    sK66: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_395,type,
    sK67: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_396,type,
    sK68: 'T_f_Expression$' > 'F$' ).

tff(func_def_397,type,
    sK69: 'T_f_Expression$' > 'T_f_Expression$' ).

tff(func_def_398,type,
    sK70: ( 'O_m_fun_o_m_fun_fun$' * 'O_m_fun_o_m_fun_fun$' * 'O_m_fun$' ) > 'O_m_fun$' ).

tff(func_def_399,type,
    sK71: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_400,type,
    sK72: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_401,type,
    sK73: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_402,type,
    sK74: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_403,type,
    sK75: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_Expression$' ).

tff(func_def_404,type,
    sK76: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_405,type,
    sK77: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_406,type,
    sK78: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_407,type,
    sK79: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_408,type,
    sK80: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_409,type,
    sK81: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_410,type,
    sK82: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_411,type,
    sK83: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_412,type,
    sK84: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_413,type,
    sK85: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_414,type,
    sK86: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_415,type,
    sK87: 'M$' ).

tff(func_def_416,type,
    sK88: 'M$' ).

tff(func_def_417,type,
    sK89: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_418,type,
    sK90: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_419,type,
    sK91: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_420,type,
    sK92: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_421,type,
    sK93: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_422,type,
    sK94: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_423,type,
    sK95: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_424,type,
    sK96: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_425,type,
    sK97: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_426,type,
    sK98: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_427,type,
    sK99: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_428,type,
    sK100: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_429,type,
    sK101: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_430,type,
    sK102: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_431,type,
    sK103: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_432,type,
    sK104: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_433,type,
    sK105: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_434,type,
    sK106: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_435,type,
    sK107: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_436,type,
    sK108: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_437,type,
    sK109: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_438,type,
    sK110: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_439,type,
    sK111: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'T$' ).

tff(func_def_440,type,
    sK112: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_441,type,
    sK113: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_442,type,
    sK114: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_443,type,
    sK115: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_444,type,
    sK116: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_445,type,
    sK117: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_446,type,
    sK118: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_447,type,
    sK119: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_448,type,
    sK120: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_449,type,
    sK121: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_450,type,
    sK122: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_Expression$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_451,type,
    sK123: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_Expression$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_452,type,
    sK124: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_453,type,
    sK125: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_454,type,
    sK126: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_455,type,
    sK127: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_456,type,
    sK128: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_457,type,
    sK129: ( 'O_m_fun$' * 'O_m_fun_o_m_fun_fun$' * 'O_m_fun_o_m_fun_fun$' ) > 'O_m_fun$' ).

tff(func_def_458,type,
    sK130: ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' ) > 'O_o_fun$' ).

tff(func_def_459,type,
    sK131: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' ) > 'M_o_fun$' ).

tff(func_def_460,type,
    sK132: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_461,type,
    sK133: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_462,type,
    sK134: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_463,type,
    sK135: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_464,type,
    sK136: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_465,type,
    sK137: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_466,type,
    sK138: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_467,type,
    sK139: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_468,type,
    sK140: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_469,type,
    sK141: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_470,type,
    sK142: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_471,type,
    sK143: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_472,type,
    sK144: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_473,type,
    sK145: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_474,type,
    sK146: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_475,type,
    sK147: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_476,type,
    sK148: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_477,type,
    sK149: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_478,type,
    sK150: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_479,type,
    sK151: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_480,type,
    sK152: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_481,type,
    sK153: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_482,type,
    sK154: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_483,type,
    sK155: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_484,type,
    sK156: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_485,type,
    sK157: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_486,type,
    sK158: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_487,type,
    sK159: ( 'M_set$' * 'M_set_m_set_fun$' * 'M_set_m_set_fun$' ) > 'M_set$' ).

tff(func_def_488,type,
    sK160: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_489,type,
    sK161: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_490,type,
    sK162: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_491,type,
    sK163: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_492,type,
    sK164: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_493,type,
    sK165: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_494,type,
    sK166: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_495,type,
    sK167: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_496,type,
    sK168: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_497,type,
    sK169: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_498,type,
    sK170: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_499,type,
    sK171: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_500,type,
    sK172: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_501,type,
    sK173: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_502,type,
    sK174: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_503,type,
    sK175: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_504,type,
    sK176: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_505,type,
    sK177: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_506,type,
    sK178: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_507,type,
    sK179: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_508,type,
    sK180: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_509,type,
    sK181: ( 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_510,type,
    sK182: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_511,type,
    sK183: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_512,type,
    sK184: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_513,type,
    sK185: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_514,type,
    sK186: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_515,type,
    sK187: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_516,type,
    sK188: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_517,type,
    sK189: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_518,type,
    sK190: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_519,type,
    sK191: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_520,type,
    sK192: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_521,type,
    sK193: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_522,type,
    sK194: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_523,type,
    sK195: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_524,type,
    sK196: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_525,type,
    sK197: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_526,type,
    sK198: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_527,type,
    sK199: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_528,type,
    sK200: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_529,type,
    sK201: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_530,type,
    sK202: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_531,type,
    sK203: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_532,type,
    sK204: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_533,type,
    sK205: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_534,type,
    sK206: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_535,type,
    sK207: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_536,type,
    sK208: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_537,type,
    sK209: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_538,type,
    sK210: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_539,type,
    sK211: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_540,type,
    sK212: ( 'O$' * 'O_o_unit_Signature_ext$' * 'O$' * 'O$' * 'O_o_Expression$' ) > 'O$' ).

tff(func_def_541,type,
    sK213: ( 'T_bool_fun$' * 'T_bool_fun$' ) > 'T$' ).

tff(func_def_542,type,
    sK214: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_543,type,
    sK215: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_544,type,
    sK216: ( 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_545,type,
    sK217: ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' ) > 'O_t_fun$' ).

tff(func_def_546,type,
    sK218: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_547,type,
    sK219: ( 'M_set_m_set_fun$' * 'M_set_m_set_fun$' * 'M_set$' ) > 'M_set$' ).

tff(func_def_548,type,
    sK220: ( 'T$' * 'O_m_IType$' * 'T$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_549,type,
    sK221: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_550,type,
    sK222: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_551,type,
    sK223: 'T_f_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_552,type,
    sK224: 'T_f_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_553,type,
    sK225: 'T_f_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_554,type,
    sK226: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_555,type,
    sK227: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_556,type,
    sK228: ( 'Unit_unit_fun$' * 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_557,type,
    sK229: ( 'O_set_o_set_fun$' * 'O_set$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_558,type,
    sK230: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_559,type,
    sK231: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_560,type,
    sK232: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_561,type,
    sK233: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_562,type,
    sK234: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_563,type,
    sK235: 'T_f_o_m_unit_Interpretation_ext$' > 'F_m_fun$' ).

tff(func_def_564,type,
    sK236: 'T_f_o_m_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_565,type,
    sK237: 'T_f_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_566,type,
    sK238: 'T_f_o_m_unit_Interpretation_ext$' > 'T_f_unit_Signature_ext$' ).

tff(func_def_567,type,
    sK239: 'T_f_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_568,type,
    sK240: ( 'O_set_o_set_fun$' * 'O_set$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_569,type,
    sK241: ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' ) > 'O_o_fun$' ).

tff(func_def_570,type,
    sK242: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_571,type,
    sK243: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_572,type,
    sK244: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_573,type,
    sK245: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_574,type,
    sK246: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_575,type,
    sK247: 'O_m_IType$' ).

tff(func_def_576,type,
    sK248: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_577,type,
    sK249: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_578,type,
    sK250: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_579,type,
    sK251: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_580,type,
    sK252: ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_581,type,
    sK253: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_582,type,
    sK254: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_583,type,
    sK255: ( 'T_set_t_set_fun$' * 'T_set_t_set_fun$' * 'T_set$' ) > 'T_set$' ).

tff(func_def_584,type,
    sK256: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_585,type,
    sK257: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_586,type,
    sK258: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_587,type,
    sK259: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_588,type,
    sK260: ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_589,type,
    sK261: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_590,type,
    sK262: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_591,type,
    sK263: 'O_m_IType$' > 'M$' ).

tff(func_def_592,type,
    sK264: 'O_m_IType$' > tlbool ).

tff(func_def_593,type,
    sK265: 'O_m_IType$' > 'O$' ).

tff(func_def_594,type,
    sK266: 'T_f_Language$' > 'T$' ).

tff(func_def_595,type,
    sK267: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_596,type,
    sK268: 'T_f_Language$' > 'T$' ).

tff(func_def_597,type,
    sK269: 'T_f_Language$' > 'T$' ).

tff(func_def_598,type,
    sK270: 'T_f_Language$' > 'T$' ).

tff(func_def_599,type,
    sK271: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_600,type,
    sK272: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_601,type,
    sK273: 'T_f_Language$' > 'T$' ).

tff(func_def_602,type,
    sK274: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_603,type,
    sK275: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_604,type,
    sK276: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' ) > 'F_t_fun$' ).

tff(func_def_605,type,
    sK277: ( 'T_set_t_set_fun$' * 'T_set_t_set_fun$' * 'T_set$' ) > 'T_set$' ).

tff(func_def_606,type,
    sK278: ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_607,type,
    sK279: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_608,type,
    sK280: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_609,type,
    sK281: 'T_f_Language$' > 'T$' ).

tff(func_def_610,type,
    sK282: 'T_f_Language$' > 'T$' ).

tff(func_def_611,type,
    sK283: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_612,type,
    sK284: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_613,type,
    sK285: 'T$' > 'O_m_IType$' ).

tff(func_def_614,type,
    sK286: ( 'O_m_unit_Category_ext$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_615,type,
    sK287: ( 'T_o_unit_Signature_ext$' * 'T_o_Expression$' * 'O$' * 'T$' * 'T$' ) > 'T$' ).

tff(func_def_616,type,
    sK288: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_617,type,
    sK289: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_618,type,
    sK290: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_619,type,
    sK291: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_620,type,
    sK292: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_621,type,
    sK293: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_622,type,
    sK294: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_623,type,
    sK295: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_624,type,
    sK296: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_625,type,
    sK297: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_626,type,
    sK298: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_627,type,
    sK299: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_628,type,
    sK300: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_629,type,
    sK301: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_630,type,
    sK302: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_631,type,
    sK303: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_632,type,
    sK304: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_633,type,
    sK305: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_634,type,
    sK306: ( 'F_set$' * 'F_set_f_set_fun$' * 'F_set_f_set_fun$' ) > 'F_set$' ).

tff(func_def_635,type,
    sK307: ( 'M$' * 'O_m_unit_Category_ext$' ) > 'M$' ).

tff(func_def_636,type,
    sK308: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_637,type,
    sK309: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_638,type,
    sK310: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_639,type,
    sK311: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_640,type,
    sK312: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_641,type,
    sK313: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_642,type,
    sK314: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_643,type,
    sK315: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_644,type,
    sK316: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_645,type,
    sK317: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_646,type,
    sK318: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_647,type,
    sK319: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_648,type,
    sK320: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_649,type,
    sK321: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_650,type,
    sK322: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_651,type,
    sK323: ( 'F_m_fun_f_m_fun_fun$' * 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_652,type,
    sK324: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_653,type,
    sK325: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_654,type,
    sK326: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_655,type,
    sK327: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_656,type,
    sK328: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_657,type,
    sK329: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_658,type,
    sK330: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_659,type,
    sK331: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_660,type,
    sK332: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_661,type,
    sK333: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_662,type,
    sK334: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_663,type,
    sK335: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_664,type,
    sK336: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_665,type,
    sK337: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'T$' ).

tff(func_def_666,type,
    sK338: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_667,type,
    sK339: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_668,type,
    sK340: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_669,type,
    sK341: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_670,type,
    sK342: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_671,type,
    sK343: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_672,type,
    sK344: ( 'T_t_unit_Signature_ext$' * 'T_t_Expression$' * 'T$' * 'T$' * 'T$' ) > 'T$' ).

tff(func_def_673,type,
    sK345: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_674,type,
    sK346: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_675,type,
    sK347: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_676,type,
    sK348: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_677,type,
    sK349: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_678,type,
    sK350: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_679,type,
    sK351: ( 'O$' * 'O_m_unit_Category_ext$' * 'O$' ) > 'M$' ).

tff(func_def_680,type,
    sK352: ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_681,type,
    sK353: ( 'O$' * 'O$' * 'T$' * 'O_t_unit_Signature_ext$' * 'O_t_Expression$' ) > 'O$' ).

tff(func_def_682,type,
    sK354: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_683,type,
    sK355: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_684,type,
    sK356: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_685,type,
    sK357: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_686,type,
    sK358: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_687,type,
    sK359: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_688,type,
    sK360: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_689,type,
    sK361: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_690,type,
    sK362: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_691,type,
    sK363: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_692,type,
    sK364: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_693,type,
    sK365: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_694,type,
    sK366: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_695,type,
    sK367: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_696,type,
    sK368: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_697,type,
    sK369: ( 'M_m_prod$' * 'O_m_unit_Category_ext$' ) > 'M$' ).

tff(func_def_698,type,
    sK370: ( 'M_m_prod$' * 'O_m_unit_Category_ext$' ) > 'M$' ).

tff(func_def_699,type,
    sK371: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_700,type,
    sK372: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_701,type,
    sK373: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_702,type,
    sK374: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T$' * 'T_f_Expression$' * 'F$' ) > 'T$' ).

tff(func_def_703,type,
    sK375: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T$' * 'T_f_Expression$' * 'F$' ) > 'M$' ).

tff(func_def_704,type,
    sK376: 'T$' ).

tff(func_def_705,type,
    sK377: ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_706,type,
    sK378: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_707,type,
    sK379: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_708,type,
    sK380: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_709,type,
    sK381: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_710,type,
    sK382: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_711,type,
    sK383: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_712,type,
    sK384: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_713,type,
    sK385: ( 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' ) > 'M_m_m_fun_fun$' ).

tff(func_def_714,type,
    sK386: ( 'O_bool_fun$' * 'O_bool_fun$' ) > 'O$' ).

tff(func_def_715,type,
    sK387: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_716,type,
    sK388: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_717,type,
    sK389: 'T_f_Language$' > 'T$' ).

tff(func_def_718,type,
    sK390: 'T_f_Language$' > 'T$' ).

tff(func_def_719,type,
    sK391: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_720,type,
    sK392: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_721,type,
    sK393: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_722,type,
    sK394: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_723,type,
    sK395: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_724,type,
    sK396: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_725,type,
    sK397: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_726,type,
    sK398: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_727,type,
    sK399: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_728,type,
    sK400: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_729,type,
    sK401: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_730,type,
    sK402: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_731,type,
    sK403: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_732,type,
    sK404: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'F$' ).

tff(func_def_733,type,
    sK405: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_734,type,
    sK406: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'M$' ).

tff(func_def_735,type,
    sK407: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_736,type,
    sK408: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'O$' ).

tff(func_def_737,type,
    sK409: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_738,type,
    sK410: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_739,type,
    sK411: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_740,type,
    sK412: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_741,type,
    sK413: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_742,type,
    sK414: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_743,type,
    sK415: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_744,type,
    sK416: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_745,type,
    sK417: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_746,type,
    sK418: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_747,type,
    sK419: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_748,type,
    sK420: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_749,type,
    sK421: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_750,type,
    sK422: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_751,type,
    sK423: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_752,type,
    sK424: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_753,type,
    sK425: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_754,type,
    sK426: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_755,type,
    sK427: ( 'M_m_m_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' ) > 'M_m_m_fun_fun$' ).

tff(func_def_756,type,
    sK428: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' ) > 'T_o_fun$' ).

tff(func_def_757,type,
    sK429: ( 'T_f_unit_Signature_ext$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_758,type,
    sK430: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_759,type,
    sK431: ( 'M_m_prod_bool_fun$' * 'M_m_prod_bool_fun$' ) > 'M_m_prod$' ).

tff(func_def_760,type,
    sK432: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_761,type,
    sK433: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_762,type,
    sK434: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_Expression$' ).

tff(func_def_763,type,
    sK435: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_764,type,
    sK436: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_Expression$' ).

tff(func_def_765,type,
    sK437: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_766,type,
    sK438: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_767,type,
    sK439: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_768,type,
    sK440: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_769,type,
    sK441: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_770,type,
    sK442: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_771,type,
    sK443: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_772,type,
    sK444: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_773,type,
    sK445: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_774,type,
    sK446: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_775,type,
    sK447: ( 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_776,type,
    sK448: 'T$' > 'O_m_IType$' ).

tff(func_def_777,type,
    sK449: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_778,type,
    sK450: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_779,type,
    sK451: ( 'O_m_unit_Category_ext$' * 'M$' ) > 'M$' ).

tff(func_def_780,type,
    sK452: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_781,type,
    sK453: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_782,type,
    sK454: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_783,type,
    sK455: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'M$' ).

tff(func_def_784,type,
    sK456: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_785,type,
    sK457: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_786,type,
    sK458: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_787,type,
    sK459: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_788,type,
    sK460: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'M$' ).

tff(func_def_789,type,
    sK461: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_790,type,
    sK462: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_791,type,
    sK463: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_792,type,
    sK464: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'F$' ).

tff(func_def_793,type,
    sK465: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_794,type,
    sK466: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_795,type,
    sK467: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_796,type,
    sK468: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_797,type,
    sK469: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_798,type,
    sK470: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_799,type,
    sK471: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_800,type,
    sK472: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_801,type,
    sK473: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_802,type,
    sK474: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_803,type,
    sK475: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_804,type,
    sK476: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_805,type,
    sK477: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_806,type,
    sK478: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_807,type,
    sK479: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_808,type,
    sK480: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_809,type,
    sK481: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_810,type,
    sK482: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_Expression$' ).

tff(func_def_811,type,
    sK483: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_812,type,
    sK484: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_813,type,
    sK485: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_814,type,
    sK486: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_815,type,
    sK487: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_816,type,
    sK488: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_817,type,
    sK489: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_818,type,
    sK490: 'O_m_unit_Category_ext$' > 'O_m_fun$' ).

tff(func_def_819,type,
    sK491: 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_820,type,
    sK492: 'O_m_unit_Category_ext$' > 'Unit$' ).

tff(func_def_821,type,
    sK493: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_822,type,
    sK494: 'O_m_unit_Category_ext$' > 'O_set$' ).

tff(func_def_823,type,
    sK495: 'O_m_unit_Category_ext$' > 'M_set$' ).

tff(func_def_824,type,
    sK496: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_825,type,
    sK497: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_826,type,
    sK498: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_827,type,
    sK499: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_828,type,
    sK500: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_829,type,
    sK501: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_Expression$' ).

tff(func_def_830,type,
    sK502: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_831,type,
    sK503: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_832,type,
    sK504: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_833,type,
    sK505: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_834,type,
    sK506: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_835,type,
    sK507: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_836,type,
    sK508: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_837,type,
    sK509: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_838,type,
    sK510: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_839,type,
    sK511: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_840,type,
    sK512: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_841,type,
    sK513: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_842,type,
    sK514: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_843,type,
    sK515: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_844,type,
    sK516: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_845,type,
    sK517: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_846,type,
    sK518: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_847,type,
    sK519: ( 'Unit_unit_fun$' * 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_848,type,
    sK520: 'M_m_bool_fun_fun$' > 'M$' ).

tff(func_def_849,type,
    sK521: 'O_o_bool_fun_fun$' > 'O$' ).

tff(func_def_850,type,
    sK522: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_851,type,
    sK523: ( 'Unit_unit_fun$' * 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_852,type,
    sK524: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' ) > 'M_o_fun$' ).

tff(func_def_853,type,
    sK525: ( 'T_f_unit_Signature_ext$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_854,type,
    sK526: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_855,type,
    sK527: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_856,type,
    sK528: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_857,type,
    sK529: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' ) > 'F_t_fun$' ).

tff(func_def_858,type,
    sK530: ( 'T$' * 'T_f_unit_Signature_ext$' * 'T$' * 'F$' * 'T_f_Expression$' ) > 'T$' ).

tff(func_def_859,type,
    sK531: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_860,type,
    sK532: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(pred_def_1,type,
    'member$b': ( 'O_m_fun$' * 'O_m_fun_set$' ) > $o ).

tff(pred_def_2,type,
    'interpretation$c': 'O_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_3,type,
    'member$a': ( 'M_m_prod_m_fun$' * 'M_m_prod_m_fun_set$' ) > $o ).

tff(pred_def_4,type,
    'signature$d': 'T_t_unit_Signature_ext$' > $o ).

tff(pred_def_5,type,
    'rel_fun$k': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_6,type,
    'interpretation$b': 'T_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_7,type,
    'rel_fun$s': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_8,type,
    'signature$f': 'F_t_unit_Signature_ext$' > $o ).

tff(pred_def_9,type,
    'fun_app$a': ( 'M_m_prod_bool_fun$' * 'M_m_prod$' ) > $o ).

tff(pred_def_10,type,
    'wellDefined$': ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_11,type,
    'interpretation$': 'T_f_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_12,type,
    'fun_app$b': ( 'M_m_prod_m_fun_bool_fun$' * 'M_m_prod_m_fun$' ) > $o ).

tff(pred_def_13,type,
    'fun_app$k': ( 'T_f_Language_bool_fun$' * 'T_f_Language$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$bv': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' ) > $o ).

tff(pred_def_15,type,
    'interpretation$d': 'T_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_16,type,
    'wellDefined$b': ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_17,type,
    'fun_app$bp': ( 'F_t_f_Expression_t_f_Expression_fun_fun_bool_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun$' ) > $o ).

tff(pred_def_18,type,
    'member$': ( 'M_m_prod$' * 'M_m_prod_set$' ) > $o ).

tff(pred_def_19,type,
    'member$g': ( 'F$' * 'F_set$' ) > $o ).

tff(pred_def_20,type,
    'fun_app$bh': ( 'O_o_m_IType_fun_bool_fun$' * 'O_o_m_IType_fun$' ) > $o ).

tff(pred_def_21,type,
    'fun_app$c': ( 'O_m_fun_bool_fun$' * 'O_m_fun$' ) > $o ).

tff(pred_def_22,type,
    'rel_fun$ap': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_23,type,
    'wellDefined$a': ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_24,type,
    'member$e': ( 'O$' * 'O_set$' ) > $o ).

tff(pred_def_25,type,
    'fun_app$d': ( 'M_o_fun_bool_fun$' * 'M_o_fun$' ) > $o ).

tff(pred_def_26,type,
    'fun_app$f': ( 'O_bool_fun$' * 'O$' ) > $o ).

tff(pred_def_27,type,
    'rel_fun$af': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_28,type,
    'signature$': 'T_f_unit_Signature_ext$' > $o ).

tff(pred_def_29,type,
    'fun_app$bl': ( 'M_o_m_IType_fun_bool_fun$' * 'M_o_m_IType_fun$' ) > $o ).

tff(pred_def_30,type,
    'signature$i': 'T_m_unit_Signature_ext$' > $o ).

tff(pred_def_31,type,
    'fun_app$bn': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_32,type,
    'fun_app$bj': ( 'T_t_f_Language_fun_bool_fun$' * 'T_t_f_Language_fun$' ) > $o ).

tff(pred_def_33,type,
    'top$': tlbool > $o ).

tff(pred_def_34,type,
    'wellDefined$d': ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_35,type,
    'rel_fun$ba': ( 'O_o_m_IType_fun_o_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_36,type,
    'fun_app$g': ( 'M_bool_fun$' * 'M$' ) > $o ).

tff(pred_def_37,type,
    'rel_fun$be': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_38,type,
    'fun_app$m': ( 'O_m_IType_bool_fun$' * 'O_m_IType$' ) > $o ).

tff(pred_def_39,type,
    'category$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_40,type,
    'rel_fun$bh': ( 'O_o_fun_o_o_fun_bool_fun_fun$' * 'M_m_fun_o_m_IType_o_m_IType_fun_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_41,type,
    'member$c': ( 'M_o_fun$' * 'M_o_fun_set$' ) > $o ).

tff(pred_def_42,type,
    'fun_app$h': ( 'F_bool_fun$' * 'F$' ) > $o ).

tff(pred_def_43,type,
    'signature$a': 'O_o_unit_Signature_ext$' > $o ).

tff(pred_def_44,type,
    'interpretation$a': 'O_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_45,type,
    'member$f': ( 'M$' * 'M_set$' ) > $o ).

tff(pred_def_46,type,
    'interp$': ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > $o ).

tff(pred_def_47,type,
    'signature$c': 'O_t_unit_Signature_ext$' > $o ).

tff(pred_def_48,type,
    'category_axioms$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_49,type,
    'signature$g': 'M_o_unit_Signature_ext$' > $o ).

tff(pred_def_50,type,
    'signature$b': 'T_o_unit_Signature_ext$' > $o ).

tff(pred_def_51,type,
    'rel_fun$aa': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_52,type,
    'fun_app$e': ( 'T_bool_fun$' * 'T$' ) > $o ).

tff(pred_def_53,type,
    'signature$h': 'F_o_unit_Signature_ext$' > $o ).

tff(pred_def_54,type,
    'signature$e': 'M_t_unit_Signature_ext$' > $o ).

tff(pred_def_55,type,
    'wellDefined$c': ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_56,type,
    'fun_app$bf': ( 'Bool_o_m_IType_fun_bool_fun$' * 'Bool_o_m_IType_fun$' ) > $o ).

tff(pred_def_57,type,
    'rel_fun$ak': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_58,type,
    'rel_fun$au': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' ) > $o ).

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

tff(pred_def_60,type,
    'member$d': ( 'T$' * 'T_set$' ) > $o ).

tff(pred_def_61,type,
    'rel_fun$c': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_62,type,
    'fun_app$o': ( 'Bool_bool_fun$' * tlbool ) > $o ).

tff(pred_def_63,type,
    'fun_app$i': ( 'T_f_Expression_bool_fun$' * 'T_f_Expression$' ) > $o ).

tff(pred_def_66,type,
    sP0: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_67,type,
    sP1: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_68,type,
    sP2: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_69,type,
    sP3: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_70,type,
    sP4: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_71,type,
    sP5: ( 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_72,type,
    sP6: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_73,type,
    sP7: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_74,type,
    sP8: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_75,type,
    sP9: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_76,type,
    sP10: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_77,type,
    sP11: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_78,type,
    sP12: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_79,type,
    sP13: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_80,type,
    sP14: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_81,type,
    sP15: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_82,type,
    sP16: 'O_m_IType_o_m_IType_bool_fun_fun$' > $o ).

tff(pred_def_83,type,
    sP17: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > $o ).

tff(pred_def_84,type,
    sP18: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_85,type,
    sP19: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_86,type,
    sP20: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_87,type,
    sP21: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_88,type,
    sP22: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_89,type,
    sP23: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_90,type,
    sP24: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_91,type,
    sP25: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_92,type,
    sP26: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_93,type,
    sP27: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_94,type,
    sP28: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_95,type,
    sP29: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_96,type,
    sP30: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_97,type,
    sP31: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_98,type,
    sP32: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_99,type,
    sP33: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_100,type,
    sP34: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_101,type,
    sP35: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_102,type,
    sP36: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_103,type,
    sP37: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_104,type,
    sP38: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_105,type,
    sP39: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_106,type,
    sP40: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_107,type,
    sP41: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_108,type,
    sP42: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_109,type,
    sP43: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_110,type,
    sP44: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > $o ).

tff(pred_def_111,type,
    sP45: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_112,type,
    sP46: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_113,type,
    sP47: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_114,type,
    sP48: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_115,type,
    sP49: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_116,type,
    sP50: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(f4800,plain,
    $false,
    inference(subsumption_resolution,[],[f4799,f3116]) ).

tff(f3116,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$'),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,axiom,
    ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$')
    & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom32) ).

tff(f4799,plain,
    ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$'),
    inference(resolution,[],[f4797,f3247]) ).

tff(f3247,plain,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,axiom,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom28) ).

tff(f4797,plain,
    ! [X12: 'T$'] :
      ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X12),'i$a')
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X12),'b$') ),
    inference(superposition,[],[f4790,f4511]) ).

tff(f4511,plain,
    'i$a' = 'fun_app$ac'('iMor$',sK87),
    inference(subsumption_resolution,[],[f2846,f3247]) ).

tff(f2846,plain,
    ( ( 'i$a' = 'fun_app$ac'('iMor$',sK87) )
    | ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a') ),
    inference(cnf_transformation,[],[f1740]) ).

tff(f1740,plain,
    ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a')
    | ( ( 'i$a' = 'fun_app$ac'('iMor$',sK87) )
      & 'fun_app$f'('fun_app$r'('mapsTo$'('iCategory$'('i$'),sK87),'fun_app$ad'('iTypes$'('i$'),'a$')),'fun_app$ad'('iTypes$'('i$'),'b$a')) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f1516,f1739]) ).

tff(f1739,plain,
    ( ? [X0: 'M$'] :
        ( ( 'i$a' = 'fun_app$ac'('iMor$',X0) )
        & 'fun_app$f'('fun_app$r'('mapsTo$'('iCategory$'('i$'),X0),'fun_app$ad'('iTypes$'('i$'),'a$')),'fun_app$ad'('iTypes$'('i$'),'b$a')) )
   => ( ( 'i$a' = 'fun_app$ac'('iMor$',sK87) )
      & 'fun_app$f'('fun_app$r'('mapsTo$'('iCategory$'('i$'),sK87),'fun_app$ad'('iTypes$'('i$'),'a$')),'fun_app$ad'('iTypes$'('i$'),'b$a')) ) ),
    introduced(choice_axiom,[]) ).

tff(f1516,plain,
    ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a')
    | ? [X0: 'M$'] :
        ( ( 'i$a' = 'fun_app$ac'('iMor$',X0) )
        & 'fun_app$f'('fun_app$r'('mapsTo$'('iCategory$'('i$'),X0),'fun_app$ad'('iTypes$'('i$'),'a$')),'fun_app$ad'('iTypes$'('i$'),'b$a')) ) ),
    inference(ennf_transformation,[],[f55]) ).

tff(f55,axiom,
    ( 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a')
   => ? [X0: 'M$'] :
        ( ( 'i$a' = 'fun_app$ac'('iMor$',X0) )
        & 'fun_app$f'('fun_app$r'('mapsTo$'('iCategory$'('i$'),X0),'fun_app$ad'('iTypes$'('i$'),'a$')),'fun_app$ad'('iTypes$'('i$'),'b$a')) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom53) ).

tff(f4790,plain,
    ! [X0: 'T$',X1: 'M$'] :
      ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0),'fun_app$ac'('iMor$',X1))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$') ),
    inference(subsumption_resolution,[],[f4775,f3298]) ).

tff(f3298,plain,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( ~ 'interp$'('i$',X0,X1)
      | 'wellDefined$'('iSignature$'('i$'),X0) ),
    inference(cnf_transformation,[],[f1582]) ).

tff(f1582,plain,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( ~ 'interp$'('i$',X0,X1)
      | 'wellDefined$'('iSignature$'('i$'),X0) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f37,axiom,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( 'interp$'('i$',X0,X1)
     => 'wellDefined$'('iSignature$'('i$'),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom35) ).

tff(f4775,plain,
    ! [X0: 'T$',X1: 'M$'] :
      ( ~ 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$')
      | ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0),'fun_app$ac'('iMor$',X1)) ),
    inference(resolution,[],[f3590,f3302]) ).

tff(f3302,plain,
    ! [X0: 'O_m_IType$'] : ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(cnf_transformation,[],[f1430]) ).

tff(f1430,plain,
    ! [X0: 'O_m_IType$'] : ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,negated_conjecture,
    ~ ? [X0: 'O_m_IType$'] : 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(negated_conjecture,[],[f25]) ).

tff(f25,conjecture,
    ? [X0: 'O_m_IType$'] : 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture24) ).

tff(f3590,plain,
    ! [X2: 'T$',X3: 'M$',X0: 'T$',X1: 'F$',X6: 'T$',X4: 'T_f_Expression$',X5: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( 'interp$'(X5,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),'fun_app$aa'('fun_app$ab'('exprApp$',X1),X4)),X2),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X5)),X3),'fun_app$ae'('iFunctions$'(X5),X1))))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X1,'iSignature$'(X5)),X6),X2)
      | ~ 'interp$'(X5,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),X4),X6),'fun_app$ac'('iMor$',X3))
      | ~ 'wellDefined$'('iSignature$'(X5),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),X4),X6)) ),
    inference(cnf_transformation,[],[f2366]) ).

tff(f2366,plain,
    ! [X0: 'T$',X1: 'F$',X2: 'T$',X3: 'M$',X4: 'T_f_Expression$',X5: 'T_f_o_m_unit_Interpretation_ext$',X6: 'T$'] :
      ( ~ 'interp$'(X5,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),X4),X6),'fun_app$ac'('iMor$',X3))
      | ~ 'wellDefined$'('iSignature$'(X5),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),X4),X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X1,'iSignature$'(X5)),X6),X2)
      | 'interp$'(X5,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X0),'fun_app$aa'('fun_app$ab'('exprApp$',X1),X4)),X2),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X5)),X3),'fun_app$ae'('iFunctions$'(X5),X1)))) ),
    inference(rectify,[],[f1455]) ).

tff(f1455,plain,
    ! [X6: 'T$',X3: 'F$',X1: 'T$',X5: 'M$',X2: 'T_f_Expression$',X4: 'T_f_o_m_unit_Interpretation_ext$',X0: 'T$'] :
      ( ~ 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0),'fun_app$ac'('iMor$',X5))
      | ~ 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X0),X1)
      | 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X2)),X1),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X5),'fun_app$ae'('iFunctions$'(X4),X3)))) ),
    inference(flattening,[],[f1454]) ).

tff(f1454,plain,
    ! [X6: 'T$',X4: 'T_f_o_m_unit_Interpretation_ext$',X0: 'T$',X5: 'M$',X3: 'F$',X1: 'T$',X2: 'T_f_Expression$'] :
      ( 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X2)),X1),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X5),'fun_app$ae'('iFunctions$'(X4),X3))))
      | ~ 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0),'fun_app$ac'('iMor$',X5))
      | ~ 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X0),X1) ),
    inference(ennf_transformation,[],[f835]) ).

tff(f835,plain,
    ! [X6: 'T$',X4: 'T_f_o_m_unit_Interpretation_ext$',X0: 'T$',X5: 'M$',X3: 'F$',X1: 'T$',X2: 'T_f_Expression$'] :
      ( ( 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0),'fun_app$ac'('iMor$',X5))
        & 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),X2),X0))
        & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X0),X1) )
     => 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X6),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X2)),X1),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X5),'fun_app$ae'('iFunctions$'(X4),X3)))) ),
    inference(rectify,[],[f76]) ).

tff(f76,axiom,
    ! [X3: 'T$',X5: 'T$',X2: 'T_f_Expression$',X4: 'F$',X0: 'T_f_o_m_unit_Interpretation_ext$',X6: 'M$',X1: 'T$'] :
      ( ( 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3),'fun_app$ac'('iMor$',X6))
        & 'wellDefined$'('iSignature$'(X0),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3))
        & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5) )
     => 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),'fun_app$aa'('fun_app$ab'('exprApp$',X4),X2)),X5),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X0)),X6),'fun_app$ae'('iFunctions$'(X0),X4)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom74) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:25:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (27966)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (27974)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.12/0.56  % (27975)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.12/0.56  % (27967)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.29/0.57  % (27956)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.57  % (27982)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.29/0.57  % (27957)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.57  % (27959)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.58  % (27953)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.29/0.58  % (27961)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.58  % (27960)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.58  % (27961)Instruction limit reached!
% 1.29/0.58  % (27961)------------------------------
% 1.29/0.58  % (27961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (27961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (27961)Termination reason: Unknown
% 1.29/0.58  % (27961)Termination phase: shuffling
% 1.29/0.58  
% 1.29/0.58  % (27961)Memory used [KB]: 1918
% 1.29/0.58  % (27961)Time elapsed: 0.003 s
% 1.29/0.58  % (27961)Instructions burned: 2 (million)
% 1.29/0.58  % (27961)------------------------------
% 1.29/0.58  % (27961)------------------------------
% 1.29/0.58  % (27960)Instruction limit reached!
% 1.29/0.58  % (27960)------------------------------
% 1.29/0.58  % (27960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (27960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (27960)Termination reason: Unknown
% 1.29/0.58  % (27960)Termination phase: Property scanning
% 1.29/0.58  
% 1.29/0.58  % (27960)Memory used [KB]: 1918
% 1.29/0.58  % (27960)Time elapsed: 0.005 s
% 1.29/0.58  % (27960)Instructions burned: 9 (million)
% 1.29/0.58  % (27960)------------------------------
% 1.29/0.58  % (27960)------------------------------
% 1.29/0.58  % (27963)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.59  % (27955)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.59  % (27981)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.59  % (27980)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.29/0.59  % (27977)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.59  % (27962)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.59  % (27958)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.29/0.59  % (27964)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.59  % (27954)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.60  % (27970)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.60  % (27971)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.60  % (27969)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.60  % (27972)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.60  % (27973)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.29/0.61  % (27979)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.29/0.61  % (27965)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.29/0.61  % (27976)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.29/0.62  % (27968)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.29/0.64  % (27978)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.64  % (27955)Instruction limit reached!
% 1.29/0.64  % (27955)------------------------------
% 1.29/0.64  % (27955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.65  % (27966)Instruction limit reached!
% 1.29/0.65  % (27966)------------------------------
% 1.29/0.65  % (27966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.65  % (27962)Instruction limit reached!
% 1.29/0.65  % (27962)------------------------------
% 1.29/0.65  % (27962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.65  % (27955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.65  % (27955)Termination reason: Unknown
% 1.29/0.65  % (27955)Termination phase: SInE selection
% 1.29/0.65  
% 1.29/0.65  % (27955)Memory used [KB]: 1918
% 1.29/0.65  % (27955)Time elapsed: 0.018 s
% 1.29/0.65  % (27955)Instructions burned: 37 (million)
% 1.29/0.65  % (27955)------------------------------
% 1.29/0.65  % (27955)------------------------------
% 1.29/0.65  % (27956)Instruction limit reached!
% 1.29/0.65  % (27956)------------------------------
% 1.29/0.65  % (27956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.65  % (27956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.65  % (27956)Termination reason: Unknown
% 1.29/0.65  % (27956)Termination phase: NewCNF
% 1.29/0.65  
% 1.29/0.65  % (27956)Memory used [KB]: 3198
% 1.29/0.65  % (27956)Time elapsed: 0.024 s
% 1.29/0.65  % (27956)Instructions burned: 52 (million)
% 1.29/0.65  % (27956)------------------------------
% 1.29/0.65  % (27956)------------------------------
% 1.29/0.65  % (27958)Instruction limit reached!
% 1.29/0.65  % (27958)------------------------------
% 1.29/0.65  % (27958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (27957)Instruction limit reached!
% 1.94/0.66  % (27957)------------------------------
% 1.94/0.66  % (27957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (27957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27957)Termination reason: Unknown
% 1.94/0.66  % (27957)Termination phase: Naming
% 1.94/0.66  
% 1.94/0.66  % (27957)Memory used [KB]: 2942
% 1.94/0.66  % (27957)Time elapsed: 0.024 s
% 1.94/0.66  % (27957)Instructions burned: 52 (million)
% 1.94/0.66  % (27957)------------------------------
% 1.94/0.66  % (27957)------------------------------
% 1.94/0.66  % (27958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27958)Termination reason: Unknown
% 1.94/0.66  % (27958)Termination phase: Naming
% 1.94/0.66  
% 1.94/0.66  % (27958)Memory used [KB]: 2942
% 1.94/0.66  % (27958)Time elapsed: 0.025 s
% 1.94/0.66  % (27958)Instructions burned: 48 (million)
% 1.94/0.66  % (27958)------------------------------
% 1.94/0.66  % (27958)------------------------------
% 1.94/0.66  % (27963)Instruction limit reached!
% 1.94/0.66  % (27963)------------------------------
% 1.94/0.66  % (27963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (27963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27963)Termination reason: Unknown
% 1.94/0.66  % (27963)Termination phase: Preprocessing 3
% 1.94/0.66  
% 1.94/0.66  % (27963)Memory used [KB]: 3070
% 1.94/0.66  % (27963)Time elapsed: 0.023 s
% 1.94/0.66  % (27963)Instructions burned: 52 (million)
% 1.94/0.66  % (27963)------------------------------
% 1.94/0.66  % (27963)------------------------------
% 1.94/0.66  % (27959)Instruction limit reached!
% 1.94/0.66  % (27959)------------------------------
% 1.94/0.66  % (27959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (27959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27959)Termination reason: Unknown
% 1.94/0.66  % (27959)Termination phase: Preprocessing 3
% 1.94/0.66  
% 1.94/0.66  % (27959)Memory used [KB]: 3070
% 1.94/0.66  % (27959)Time elapsed: 0.026 s
% 1.94/0.66  % (27959)Instructions burned: 52 (million)
% 1.94/0.66  % (27959)------------------------------
% 1.94/0.66  % (27959)------------------------------
% 1.94/0.66  % (27962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27962)Termination reason: Unknown
% 1.94/0.66  % (27962)Termination phase: Preprocessing 3
% 1.94/0.66  
% 1.94/0.66  % (27962)Memory used [KB]: 3070
% 1.94/0.66  % (27962)Time elapsed: 0.023 s
% 1.94/0.66  % (27962)Instructions burned: 51 (million)
% 1.94/0.66  % (27962)------------------------------
% 1.94/0.66  % (27962)------------------------------
% 1.94/0.66  % (27966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27966)Termination reason: Unknown
% 1.94/0.66  % (27966)Termination phase: Property scanning
% 1.94/0.66  
% 1.94/0.66  % (27966)Memory used [KB]: 4605
% 1.94/0.66  % (27966)Time elapsed: 0.068 s
% 1.94/0.66  % (27966)Instructions burned: 101 (million)
% 1.94/0.66  % (27966)------------------------------
% 1.94/0.66  % (27966)------------------------------
% 1.94/0.66  % (27970)Instruction limit reached!
% 1.94/0.66  % (27970)------------------------------
% 1.94/0.66  % (27970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.66  % (27970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.66  % (27970)Termination reason: Unknown
% 1.94/0.66  % (27970)Termination phase: Preprocessing 3
% 1.94/0.66  
% 1.94/0.66  % (27970)Memory used [KB]: 3709
% 1.94/0.66  % (27970)Time elapsed: 0.055 s
% 1.94/0.66  % (27970)Instructions burned: 60 (million)
% 1.94/0.66  % (27970)------------------------------
% 1.94/0.66  % (27970)------------------------------
% 1.94/0.68  % (27967)Instruction limit reached!
% 1.94/0.68  % (27967)------------------------------
% 1.94/0.68  % (27967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.68  % (27967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.68  % (27967)Termination reason: Unknown
% 1.94/0.68  % (27967)Termination phase: Preprocessing 3
% 1.94/0.68  
% 1.94/0.68  % (27967)Memory used [KB]: 4093
% 1.94/0.68  % (27967)Time elapsed: 0.037 s
% 1.94/0.68  % (27967)Instructions burned: 70 (million)
% 1.94/0.68  % (27967)------------------------------
% 1.94/0.68  % (27967)------------------------------
% 2.17/0.69  % (27954)Instruction limit reached!
% 2.17/0.69  % (27954)------------------------------
% 2.17/0.69  % (27954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.69  % (27954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.69  % (27954)Termination reason: Unknown
% 2.17/0.69  % (27954)Termination phase: Preprocessing 3
% 2.17/0.69  
% 2.17/0.69  % (27954)Memory used [KB]: 3070
% 2.17/0.69  % (27954)Time elapsed: 0.025 s
% 2.17/0.69  % (27954)Instructions burned: 51 (million)
% 2.17/0.69  % (27954)------------------------------
% 2.17/0.69  % (27954)------------------------------
% 2.17/0.69  % (27983)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.17/0.70  % (27979)Instruction limit reached!
% 2.17/0.70  % (27979)------------------------------
% 2.17/0.70  % (27979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.71  % (27969)Instruction limit reached!
% 2.17/0.71  % (27969)------------------------------
% 2.17/0.71  % (27969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.71  % (27979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.71  % (27979)Termination reason: Unknown
% 2.17/0.71  % (27979)Termination phase: Preprocessing 3
% 2.17/0.71  
% 2.17/0.71  % (27979)Memory used [KB]: 4093
% 2.17/0.71  % (27979)Time elapsed: 0.032 s
% 2.17/0.71  % (27979)Instructions burned: 70 (million)
% 2.17/0.71  % (27979)------------------------------
% 2.17/0.71  % (27979)------------------------------
% 2.17/0.72  % (27974)Instruction limit reached!
% 2.17/0.72  % (27974)------------------------------
% 2.17/0.72  % (27974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.72  % (27974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.72  % (27974)Termination reason: Unknown
% 2.17/0.72  % (27974)Termination phase: Saturation
% 2.17/0.72  
% 2.17/0.72  % (27974)Memory used [KB]: 9338
% 2.17/0.72  % (27974)Time elapsed: 0.079 s
% 2.17/0.72  % (27974)Instructions burned: 139 (million)
% 2.17/0.72  % (27974)------------------------------
% 2.17/0.72  % (27974)------------------------------
% 2.17/0.72  % (27964)Instruction limit reached!
% 2.17/0.72  % (27964)------------------------------
% 2.17/0.72  % (27964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.72  % (27964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.72  % (27964)Termination reason: Unknown
% 2.17/0.72  % (27964)Termination phase: Equality resolution with deletion
% 2.17/0.72  
% 2.17/0.72  % (27964)Memory used [KB]: 4349
% 2.17/0.72  % (27964)Time elapsed: 0.044 s
% 2.17/0.72  % (27964)Instructions burned: 102 (million)
% 2.17/0.72  % (27964)------------------------------
% 2.17/0.72  % (27964)------------------------------
% 2.38/0.73  % (27984)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.38/0.73  % (27969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.73  % (27969)Termination reason: Unknown
% 2.38/0.73  % (27969)Termination phase: General splitting
% 2.38/0.73  
% 2.38/0.73  % (27969)Memory used [KB]: 4605
% 2.38/0.73  % (27969)Time elapsed: 0.050 s
% 2.38/0.73  % (27969)Instructions burned: 99 (million)
% 2.38/0.73  % (27969)------------------------------
% 2.38/0.73  % (27969)------------------------------
% 2.38/0.73  % (27972)Instruction limit reached!
% 2.38/0.73  % (27972)------------------------------
% 2.38/0.73  % (27972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.73  % (27972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.73  % (27972)Termination reason: Unknown
% 2.38/0.73  % (27972)Termination phase: Equality resolution with deletion
% 2.38/0.73  
% 2.38/0.73  % (27972)Memory used [KB]: 4605
% 2.38/0.73  % (27972)Time elapsed: 0.043 s
% 2.38/0.73  % (27972)Instructions burned: 101 (million)
% 2.38/0.73  % (27972)------------------------------
% 2.38/0.73  % (27972)------------------------------
% 2.38/0.73  % (27971)Instruction limit reached!
% 2.38/0.73  % (27971)------------------------------
% 2.38/0.73  % (27971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.73  % (27971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.73  % (27971)Termination reason: Unknown
% 2.38/0.73  % (27971)Termination phase: Property scanning
% 2.38/0.73  
% 2.38/0.74  % (27971)Memory used [KB]: 4605
% 2.38/0.74  % (27971)Time elapsed: 0.049 s
% 2.38/0.74  % (27971)Instructions burned: 100 (million)
% 2.38/0.74  % (27971)------------------------------
% 2.38/0.74  % (27971)------------------------------
% 2.48/0.74  % (27968)Instruction limit reached!
% 2.48/0.74  % (27968)------------------------------
% 2.48/0.74  % (27968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.74  % (27968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.74  % (27968)Termination reason: Unknown
% 2.48/0.74  % (27968)Termination phase: Property scanning
% 2.48/0.74  
% 2.48/0.74  % (27968)Memory used [KB]: 4477
% 2.48/0.74  % (27968)Time elapsed: 0.036 s
% 2.48/0.74  % (27968)Instructions burned: 78 (million)
% 2.48/0.74  % (27968)------------------------------
% 2.48/0.74  % (27968)------------------------------
% 2.48/0.75  % (27965)Instruction limit reached!
% 2.48/0.75  % (27965)------------------------------
% 2.48/0.75  % (27965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.75  % (27965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.75  % (27965)Termination reason: Unknown
% 2.48/0.75  % (27965)Termination phase: Property scanning
% 2.48/0.75  
% 2.48/0.75  % (27965)Memory used [KB]: 4605
% 2.48/0.75  % (27965)Time elapsed: 0.044 s
% 2.48/0.75  % (27965)Instructions burned: 102 (million)
% 2.48/0.75  % (27965)------------------------------
% 2.48/0.75  % (27965)------------------------------
% 2.48/0.77  % (27988)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.48/0.77  % (27997)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.48/0.78  % (27993)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.48/0.78  % (27953)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.48/0.78  % (28008)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.48/0.79  % (27999)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.48/0.80  % (27953)Terminated due to inappropriate strategy.
% 2.48/0.80  % (27953)------------------------------
% 2.48/0.80  % (27953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.80  % (27953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.80  % (27953)Termination reason: Inappropriate
% 2.48/0.80  
% 2.48/0.80  % (27953)Memory used [KB]: 5373
% 2.48/0.80  % (27953)Time elapsed: 0.079 s
% 2.48/0.80  % (27953)Instructions burned: 154 (million)
% 2.48/0.80  % (27953)------------------------------
% 2.48/0.80  % (27953)------------------------------
% 2.48/0.80  % (27991)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.48/0.80  % (27986)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.66/0.81  % (27995)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.66/0.81  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.66/0.81  % (28000)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.66/0.82  % (28006)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.66/0.83  % (28012)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.66/0.83  % (28024)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.66/0.83  % (27980)Instruction limit reached!
% 2.66/0.83  % (27980)------------------------------
% 2.66/0.83  % (27980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.83  % (27980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.83  % (27980)Termination reason: Unknown
% 2.66/0.83  % (27980)Termination phase: Saturation
% 2.66/0.83  
% 2.66/0.83  % (27980)Memory used [KB]: 5756
% 2.66/0.83  % (27980)Time elapsed: 0.091 s
% 2.66/0.83  % (27980)Instructions burned: 177 (million)
% 2.66/0.83  % (27980)------------------------------
% 2.66/0.83  % (27980)------------------------------
% 2.66/0.85  % (28026)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.66/0.86  % (28033)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.66/0.86  % (27973)Instruction limit reached!
% 2.66/0.86  % (27973)------------------------------
% 2.66/0.86  % (27973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.86  % (27973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.86  % (27973)Termination reason: Unknown
% 2.66/0.86  % (27973)Termination phase: Saturation
% 2.66/0.86  
% 2.66/0.86  % (27973)Memory used [KB]: 10234
% 2.66/0.86  % (27973)Time elapsed: 0.089 s
% 2.66/0.86  % (27973)Instructions burned: 176 (million)
% 2.66/0.86  % (27973)------------------------------
% 2.66/0.86  % (27973)------------------------------
% 2.66/0.86  % (28041)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.80/0.87  % (28038)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.80/0.87  % (27997)Instruction limit reached!
% 2.80/0.87  % (27997)------------------------------
% 2.80/0.87  % (27997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.87  % (27997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.87  % (27997)Termination reason: Unknown
% 2.80/0.87  % (27997)Termination phase: Preprocessing 3
% 2.80/0.87  
% 2.80/0.87  % (27997)Memory used [KB]: 3965
% 2.80/0.87  % (27997)Time elapsed: 0.038 s
% 2.80/0.87  % (27997)Instructions burned: 68 (million)
% 2.80/0.87  % (27997)------------------------------
% 2.80/0.87  % (27997)------------------------------
% 2.80/0.87  % (28043)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.80/0.89  % (28048)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 2.80/0.89  % (28039)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.80/0.90  % (28064)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 2.80/0.92  % (27986)Instruction limit reached!
% 2.80/0.92  % (27986)------------------------------
% 2.80/0.92  % (27986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.92  % (27986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.92  % (27986)Termination reason: Unknown
% 2.80/0.92  % (27986)Termination phase: Property scanning
% 2.80/0.92  
% 2.80/0.92  % (27986)Memory used [KB]: 4477
% 2.80/0.92  % (27986)Time elapsed: 0.040 s
% 2.80/0.92  % (27986)Instructions burned: 92 (million)
% 2.80/0.92  % (27986)------------------------------
% 2.80/0.92  % (27986)------------------------------
% 2.80/0.94  % (28088)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 2.80/0.95  % (28006)Instruction limit reached!
% 2.80/0.95  % (28006)------------------------------
% 2.80/0.95  % (28006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.95  % (28006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.95  % (28006)Termination reason: Unknown
% 2.80/0.95  % (28006)Termination phase: Property scanning
% 2.80/0.95  
% 2.80/0.95  % (28006)Memory used [KB]: 4605
% 2.80/0.95  % (28006)Time elapsed: 0.039 s
% 2.80/0.95  % (28006)Instructions burned: 90 (million)
% 2.80/0.95  % (28006)------------------------------
% 2.80/0.95  % (28006)------------------------------
% 3.07/0.98  % (28039)Instruction limit reached!
% 3.07/0.98  % (28039)------------------------------
% 3.07/0.98  % (28039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.99  % (28110)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.20/0.99  % (28039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.20/0.99  % (28039)Termination reason: Unknown
% 3.20/0.99  % (28039)Termination phase: Preprocessing 3
% 3.20/0.99  
% 3.20/0.99  % (28039)Memory used [KB]: 4093
% 3.20/0.99  % (28039)Time elapsed: 0.030 s
% 3.20/0.99  % (28039)Instructions burned: 69 (million)
% 3.20/0.99  % (28039)------------------------------
% 3.20/0.99  % (28039)------------------------------
% 3.20/1.00  % (28121)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.31/1.04  % (27982)Instruction limit reached!
% 3.31/1.04  % (27982)------------------------------
% 3.31/1.04  % (27982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.06  % (27984)Instruction limit reached!
% 5.04/1.06  % (27984)------------------------------
% 5.04/1.06  % (27984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.06  % (27984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.06  % (27984)Termination reason: Unknown
% 5.04/1.06  % (27984)Termination phase: Saturation
% 5.04/1.06  
% 5.04/1.06  % (27984)Memory used [KB]: 6524
% 5.04/1.06  % (27984)Time elapsed: 0.426 s
% 5.04/1.06  % (27984)Instructions burned: 212 (million)
% 5.04/1.06  % (27984)------------------------------
% 5.04/1.06  % (27984)------------------------------
% 5.04/1.06  % (27982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.06  % (27982)Termination reason: Unknown
% 5.04/1.06  % (27982)Termination phase: Saturation
% 5.04/1.06  
% 5.04/1.06  % (27982)Memory used [KB]: 11769
% 5.04/1.06  % (27982)Time elapsed: 0.539 s
% 5.04/1.06  % (27982)Instructions burned: 356 (million)
% 5.04/1.06  % (27982)------------------------------
% 5.04/1.06  % (27982)------------------------------
% 5.04/1.06  % (28088)Instruction limit reached!
% 5.04/1.06  % (28088)------------------------------
% 5.04/1.06  % (28088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.04/1.06  % (28088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.04/1.06  % (28088)Termination reason: Unknown
% 5.04/1.06  % (28088)Termination phase: Property scanning
% 5.04/1.06  
% 5.04/1.06  % (28088)Memory used [KB]: 4477
% 5.04/1.06  % (28088)Time elapsed: 0.051 s
% 5.04/1.06  % (28088)Instructions burned: 91 (million)
% 5.04/1.06  % (28088)------------------------------
% 5.04/1.06  % (28088)------------------------------
% 5.04/1.06  % (28145)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.04/1.09  % (28156)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.57/1.14  % (28164)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 5.97/1.18  % (28182)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 5.97/1.18  % (28184)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 5.97/1.20  % (28181)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 5.97/1.21  % (27975)Instruction limit reached!
% 5.97/1.21  % (27975)------------------------------
% 5.97/1.21  % (27975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.22  % (27975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.22  % (27975)Termination reason: Unknown
% 5.97/1.22  % (27975)Termination phase: Saturation
% 5.97/1.22  
% 5.97/1.22  % (27975)Memory used [KB]: 9083
% 5.97/1.22  % (27975)Time elapsed: 0.713 s
% 5.97/1.22  % (27975)Instructions burned: 498 (million)
% 5.97/1.22  % (27975)------------------------------
% 5.97/1.22  % (27975)------------------------------
% 6.98/1.33  % (28242)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.12/1.34  % (27983)Instruction limit reached!
% 7.12/1.34  % (27983)------------------------------
% 7.12/1.34  % (27983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.34  % (27983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.34  % (27983)Termination reason: Unknown
% 7.12/1.34  % (27983)Termination phase: Saturation
% 7.12/1.34  
% 7.12/1.34  % (27983)Memory used [KB]: 11129
% 7.12/1.34  % (27983)Time elapsed: 0.717 s
% 7.12/1.34  % (27983)Instructions burned: 390 (million)
% 7.12/1.34  % (27983)------------------------------
% 7.12/1.34  % (27983)------------------------------
% 7.12/1.36  % (27981)Instruction limit reached!
% 7.12/1.36  % (27981)------------------------------
% 7.12/1.36  % (27981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.36  % (27981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.36  % (27981)Termination reason: Unknown
% 7.12/1.36  % (27981)Termination phase: Saturation
% 7.12/1.36  
% 7.12/1.36  % (27981)Memory used [KB]: 14711
% 7.12/1.36  % (27981)Time elapsed: 0.888 s
% 7.12/1.36  % (27981)Instructions burned: 440 (million)
% 7.12/1.36  % (27981)------------------------------
% 7.12/1.36  % (27981)------------------------------
% 7.12/1.39  % (27976)Instruction limit reached!
% 7.12/1.39  % (27976)------------------------------
% 7.12/1.39  % (27976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.12/1.39  % (27976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.12/1.39  % (27976)Termination reason: Unknown
% 7.12/1.39  % (27976)Termination phase: Saturation
% 7.12/1.39  
% 7.12/1.39  % (27976)Memory used [KB]: 13688
% 7.12/1.39  % (27976)Time elapsed: 0.939 s
% 7.12/1.39  % (27976)Instructions burned: 468 (million)
% 7.12/1.39  % (27976)------------------------------
% 7.12/1.39  % (27976)------------------------------
% 7.65/1.43  % (28242)Instruction limit reached!
% 7.65/1.43  % (28242)------------------------------
% 7.65/1.43  % (28242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.65/1.43  % (28242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.65/1.43  % (28242)Termination reason: Unknown
% 7.65/1.43  % (28242)Termination phase: Property scanning
% 7.65/1.43  
% 7.65/1.43  % (28242)Memory used [KB]: 4605
% 7.65/1.43  % (28242)Time elapsed: 0.066 s
% 7.65/1.43  % (28242)Instructions burned: 90 (million)
% 7.65/1.43  % (28242)------------------------------
% 7.65/1.43  % (28242)------------------------------
% 7.65/1.47  % (27977)Instruction limit reached!
% 7.65/1.47  % (27977)------------------------------
% 7.65/1.47  % (27977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.65/1.47  % (27977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.65/1.47  % (27977)Termination reason: Unknown
% 7.65/1.47  % (27977)Termination phase: Saturation
% 7.65/1.47  
% 7.65/1.47  % (27977)Memory used [KB]: 14072
% 7.65/1.47  % (27977)Time elapsed: 0.993 s
% 7.65/1.47  % (27977)Instructions burned: 482 (million)
% 7.65/1.47  % (27977)------------------------------
% 7.65/1.47  % (27977)------------------------------
% 8.11/1.49  % (28243)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 8.11/1.50  % (28244)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.11/1.52  % (27978)Instruction limit reached!
% 8.11/1.52  % (27978)------------------------------
% 8.11/1.52  % (27978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.11/1.52  % (27978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.11/1.52  % (27978)Termination reason: Unknown
% 8.11/1.52  % (27978)Termination phase: Saturation
% 8.11/1.52  
% 8.11/1.52  % (27978)Memory used [KB]: 12665
% 8.11/1.52  % (27978)Time elapsed: 1.048 s
% 8.11/1.52  % (27978)Instructions burned: 502 (million)
% 8.11/1.52  % (27978)------------------------------
% 8.11/1.52  % (27978)------------------------------
% 8.11/1.53  % (28245)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 8.11/1.54  % (28246)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 8.65/1.61  % (28247)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/37001Mi)
% 9.82/1.66  % (28248)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/10187Mi)
% 10.44/1.77  % (28246)First to succeed.
% 10.84/1.79  % (28246)Refutation found. Thanks to Tanya!
% 10.84/1.79  % SZS status Theorem for theBenchmark
% 10.84/1.79  % SZS output start Proof for theBenchmark
% See solution above
% 10.84/1.80  % (28246)------------------------------
% 10.84/1.80  % (28246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.84/1.80  % (28246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.84/1.80  % (28246)Termination reason: Refutation
% 10.84/1.80  
% 10.84/1.80  % (28246)Memory used [KB]: 9978
% 10.84/1.80  % (28246)Time elapsed: 0.277 s
% 10.84/1.80  % (28246)Instructions burned: 183 (million)
% 10.84/1.80  % (28246)------------------------------
% 10.84/1.80  % (28246)------------------------------
% 10.84/1.80  % (27952)Success in time 1.441 s
%------------------------------------------------------------------------------