TSTP Solution File: ITP297_1 by Vampire---4.8

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Sun May  5 06:55:41 EDT 2024

% Result   : Theorem 0.51s 0.72s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  783
% Syntax   : Number of formulae    :  797 (  12 unt; 778 typ;   0 def)
%            Number of atoms       :   36 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  14   ~;  10   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :  186 ( 184 usr;   1 ari)
%            Number of type conns  : 1086 ( 533   >; 553   *;   0   +;   0  <<)
%            Number of predicates  :   87 (  84 usr;   2 prp; 0-12 aty)
%            Number of functors    :  510 ( 510 usr;  61 con; 0-7 aty)
%            Number of variables   :   35 (  32   !;   3   ?;  35   :)

% 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,
    sK0: 'T_f_Expression$' > 'F$' ).

tff(func_def_380,type,
    sK1: 'T_f_Expression$' > 'T_f_Expression$' ).

tff(func_def_381,type,
    sK2: 'T_f_Language$' > 'T$' ).

tff(func_def_382,type,
    sK3: 'T_f_Language$' > 'T$' ).

tff(func_def_383,type,
    sK4: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_384,type,
    sK5: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_385,type,
    sK6: 'T$' > 'O_m_IType$' ).

tff(func_def_386,type,
    sK7: 'T$' > 'O_m_IType$' ).

tff(func_def_387,type,
    sK8: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_388,type,
    sK9: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_389,type,
    sK10: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_390,type,
    sK11: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_391,type,
    sK12: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_392,type,
    sK13: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_393,type,
    sK14: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_394,type,
    sK15: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_395,type,
    sK16: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'F$' ).

tff(func_def_396,type,
    sK17: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_397,type,
    sK18: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_398,type,
    sK19: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_399,type,
    sK20: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_400,type,
    sK21: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_401,type,
    sK22: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_402,type,
    sK26: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_403,type,
    sK27: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_404,type,
    sK28: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_405,type,
    sK29: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_406,type,
    sK30: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_407,type,
    sK31: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_408,type,
    sK32: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_409,type,
    sK33: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_410,type,
    sK34: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'F$' ).

tff(func_def_411,type,
    sK35: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_412,type,
    sK36: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_413,type,
    sK37: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_414,type,
    sK38: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_415,type,
    sK39: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_416,type,
    sK40: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_417,type,
    sK45: ( 'T_f_unit_Signature_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' ) > 'T$' ).

tff(func_def_418,type,
    sK46: 'T$' ).

tff(func_def_419,type,
    sK47: ( 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_420,type,
    sK48: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_421,type,
    sK50: 'T_f_Language$' > 'T$' ).

tff(func_def_422,type,
    sK51: 'T_f_Language$' > 'T$' ).

tff(func_def_423,type,
    sK52: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_424,type,
    sK53: 'T_f_Language$' > 'T$' ).

tff(func_def_425,type,
    sK54: 'T_f_Language$' > 'T$' ).

tff(func_def_426,type,
    sK55: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_427,type,
    sK56: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_428,type,
    sK57: 'T_f_Language$' > 'T$' ).

tff(func_def_429,type,
    sK60: 'O_m_IType$' > 'O$' ).

tff(func_def_430,type,
    sK61: 'O_m_IType$' > 'M$' ).

tff(func_def_431,type,
    sK62: 'O_m_IType$' > tlbool ).

tff(func_def_432,type,
    sK66: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_433,type,
    sK67: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_434,type,
    sK68: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_435,type,
    sK69: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_436,type,
    sK70: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_437,type,
    sK71: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_438,type,
    sK72: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_439,type,
    sK73: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_440,type,
    sK74: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_441,type,
    sK75: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_442,type,
    sK76: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_443,type,
    sK77: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_444,type,
    sK78: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_445,type,
    sK79: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_446,type,
    sK80: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_447,type,
    sK81: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_448,type,
    sK84: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_449,type,
    sK85: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_450,type,
    sK86: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_451,type,
    sK87: ( '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_452,type,
    sK88: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_453,type,
    sK89: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_454,type,
    sK90: ( '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_455,type,
    sK91: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_456,type,
    sK92: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_457,type,
    sK93: ( '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_458,type,
    sK94: ( '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_459,type,
    sK95: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_460,type,
    sK96: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_461,type,
    sK97: ( '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_462,type,
    sK98: ( '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_463,type,
    sK99: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_464,type,
    sK103: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_465,type,
    sK104: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_466,type,
    sK105: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_467,type,
    sK106: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_468,type,
    sK107: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_469,type,
    sK108: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_470,type,
    sK109: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_471,type,
    sK110: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_472,type,
    sK111: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_473,type,
    sK112: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_474,type,
    sK113: 'M$' ).

tff(func_def_475,type,
    sK114: 'O_m_IType$' ).

tff(func_def_476,type,
    sK115: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_477,type,
    sK117: ( 'O_m_unit_Category_ext$' * 'M$' ) > 'M$' ).

tff(func_def_478,type,
    sK118: 'T_f_Language$' > 'T$' ).

tff(func_def_479,type,
    sK119: 'T_f_Language$' > 'T$' ).

tff(func_def_480,type,
    sK120: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_481,type,
    sK121: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_482,type,
    sK122: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_483,type,
    sK123: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_484,type,
    sK124: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_485,type,
    sK125: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_486,type,
    sK126: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_487,type,
    sK127: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_488,type,
    sK130: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_489,type,
    sK131: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_490,type,
    sK132: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_491,type,
    sK133: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_492,type,
    sK134: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_493,type,
    sK135: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_494,type,
    sK137: 'O_o_bool_fun_fun$' > 'O$' ).

tff(func_def_495,type,
    sK138: 'M_m_bool_fun_fun$' > 'M$' ).

tff(func_def_496,type,
    sK139: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_497,type,
    sK140: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_498,type,
    sK141: 'M$' ).

tff(func_def_499,type,
    sK143: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_500,type,
    sK144: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_501,type,
    sK145: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_502,type,
    sK146: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_503,type,
    sK147: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_504,type,
    sK148: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_505,type,
    sK149: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_506,type,
    sK150: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_507,type,
    sK152: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_508,type,
    sK153: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_509,type,
    sK154: 'T_f_o_m_unit_Interpretation_ext$' > 'T_f_unit_Signature_ext$' ).

tff(func_def_510,type,
    sK155: 'T_f_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_511,type,
    sK156: 'T_f_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_512,type,
    sK157: 'T_f_o_m_unit_Interpretation_ext$' > 'F_m_fun$' ).

tff(func_def_513,type,
    sK158: 'T_f_o_m_unit_Interpretation_ext$' > 'Unit$' ).

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,
    sP23: ( 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_67,type,
    sP24: ( 'T$' * 'F$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_68,type,
    sP25: ( 'T_f_Expression$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_69,type,
    sP41: ( 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_70,type,
    sP42: ( 'T$' * 'F$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_71,type,
    sP43: ( 'T_f_Expression$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_unit_Signature_ext$' * 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_74,type,
    sP58: ( 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'T_f_Language$' ) > $o ).

tff(pred_def_76,type,
    sP63: ( tlbool * 'O_m_IType$' ) > $o ).

tff(pred_def_79,type,
    sP82: ( 'T$' * 'T_f_Expression$' * 'T$' * 'T$' * 'T_f_Expression$' * 'T$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > $o ).

tff(pred_def_80,type,
    sP83: ( 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > $o ).

tff(pred_def_81,type,
    sP100: ( 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'T_f_Language_t_f_Language_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > $o ).

tff(pred_def_82,type,
    sP101: ( 'T_f_Expression$' * 'T_f_Expression$' * 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > $o ).

tff(pred_def_85,type,
    sP128: ( 'M$' * 'M$' * 'O_m_IType$' * 'O_m_IType$' * 'M_m_bool_fun_fun$' ) > $o ).

tff(pred_def_86,type,
    sP129: ( tlbool * tlbool * 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_87,type,
    sP136: ( tlbool * tlbool * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > $o ).

tff(pred_def_89,type,
    sP151: ( 'T$' * 'T$' * 'F$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_90,type,
    sP159: ( 'T_f_Expression$' * 'T_f_Expression$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_91,type,
    sP160: ( 'T_f_Expression$' * 'T_f_Expression$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_92,type,
    sP161: ( 'T_f_Expression$' * 'T_f_Expression$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_93,type,
    sP162: ( 'O_m_unit_Category_ext$' * 'O$' * 'M$' ) > $o ).

tff(pred_def_94,type,
    sP163: ( 'M$' * 'O_m_unit_Category_ext$' * 'O$' ) > $o ).

tff(f1132,plain,
    $false,
    inference(subsumption_resolution,[],[f1131,f933]) ).

tff(f933,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/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587',axiom28) ).

tff(f1131,plain,
    ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    inference(superposition,[],[f1129,f1018]) ).

tff(f1018,plain,
    'i$a' = 'fun_app$ac'('iMor$',sK141),
    inference(cnf_transformation,[],[f725]) ).

tff(f725,plain,
    ( $false
    | ? [X0: 'M$'] :
        ( $true
        & ( 'i$a' = 'fun_app$ac'('iMor$',X0) ) ) ),
    inference(ennf_transformation,[],[f27]) ).

tff(f27,axiom,
    ( ! [X0: 'M$'] :
        ( ( 'i$a' = 'fun_app$ac'('iMor$',X0) )
       => $false )
   => $false ),
    file('/export/starexec/sandbox/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587',axiom25) ).

tff(f1129,plain,
    ! [X0: 'M$'] : ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'fun_app$ac'('iMor$',X0)),
    inference(unit_resulting_resolution,[],[f825,f824,f761,f1057]) ).

tff(f1057,plain,
    ! [X2: 'T_f_Expression$',X3: 'T$',X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T$',X6: 'M$',X4: 'F$',X5: 'T$'] :
      ( ~ 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3),'fun_app$ac'('iMor$',X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5)
      | ~ 'wellDefined$'('iSignature$'(X0),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3))
      | '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)))) ),
    inference(cnf_transformation,[],[f754]) ).

tff(f754,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T$',X2: 'T_f_Expression$',X3: 'T$',X4: 'F$',X5: 'T$',X6: 'M$'] :
      ( 'interp$'(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$'(X0),X4))))
      | ~ 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3),'fun_app$ac'('iMor$',X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5)
      | ~ 'wellDefined$'('iSignature$'(X0),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3)) ),
    inference(flattening,[],[f753]) ).

tff(f753,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T$',X2: 'T_f_Expression$',X3: 'T$',X4: 'F$',X5: 'T$',X6: 'M$'] :
      ( 'interp$'(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$'(X0),X4))))
      | ~ 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3),'fun_app$ac'('iMor$',X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5)
      | ~ 'wellDefined$'('iSignature$'(X0),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3)) ),
    inference(ennf_transformation,[],[f76]) ).

tff(f76,axiom,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T$',X2: 'T_f_Expression$',X3: 'T$',X4: 'F$',X5: 'T$',X6: 'M$'] :
      ( ( 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3),'fun_app$ac'('iMor$',X6))
        & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5)
        & 'wellDefined$'('iSignature$'(X0),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),X2),X3)) )
     => '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/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587',axiom74) ).

tff(f761,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,[],[f594]) ).

tff(f594,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/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587',conjecture24) ).

tff(f824,plain,
    'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a')),
    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/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587',axiom32) ).

tff(f825,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$'),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 19:19:08 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a TF0_THM_EQU_ARI problem
% 0.13/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.2gIZmz7vxf/Vampire---4.8_2587
% 0.51/0.68  % (2912)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.51/0.68  % (2905)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.68  % (2907)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.68  % (2906)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.51/0.68  % (2908)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.68  % (2909)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.68  % (2910)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.68  % (2911)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.51/0.69  % (2912)Refutation not found, incomplete strategy% (2912)------------------------------
% 0.51/0.69  % (2912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (2912)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (2912)Memory used [KB]: 1857
% 0.51/0.69  % (2912)Time elapsed: 0.010 s
% 0.51/0.69  % (2912)Instructions burned: 44 (million)
% 0.51/0.69  % (2912)------------------------------
% 0.51/0.69  % (2912)------------------------------
% 0.51/0.69  % (2913)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.51/0.69  % (2908)Instruction limit reached!
% 0.51/0.69  % (2908)------------------------------
% 0.51/0.69  % (2908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (2909)Instruction limit reached!
% 0.51/0.69  % (2909)------------------------------
% 0.51/0.69  % (2909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (2908)Termination reason: Unknown
% 0.51/0.69  % (2908)Termination phase: SInE selection
% 0.51/0.69  
% 0.51/0.69  % (2908)Memory used [KB]: 1767
% 0.51/0.69  % (2908)Time elapsed: 0.014 s
% 0.51/0.69  % (2908)Instructions burned: 34 (million)
% 0.51/0.69  % (2908)------------------------------
% 0.51/0.69  % (2908)------------------------------
% 0.51/0.69  % (2909)Termination reason: Unknown
% 0.51/0.69  % (2909)Termination phase: SInE selection
% 0.51/0.69  
% 0.51/0.69  % (2909)Memory used [KB]: 1767
% 0.51/0.69  % (2909)Time elapsed: 0.014 s
% 0.51/0.69  % (2909)Instructions burned: 34 (million)
% 0.51/0.69  % (2909)------------------------------
% 0.51/0.69  % (2909)------------------------------
% 0.51/0.69  % (2905)Instruction limit reached!
% 0.51/0.69  % (2905)------------------------------
% 0.51/0.69  % (2905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (2905)Termination reason: Unknown
% 0.51/0.69  % (2905)Termination phase: SInE selection
% 0.51/0.69  
% 0.51/0.69  % (2905)Memory used [KB]: 1793
% 0.51/0.69  % (2905)Time elapsed: 0.015 s
% 0.51/0.69  % (2905)Instructions burned: 35 (million)
% 0.51/0.69  % (2905)------------------------------
% 0.51/0.69  % (2905)------------------------------
% 0.51/0.70  % (2914)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.51/0.70  % (2915)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.51/0.70  % (2916)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.51/0.70  % (2910)Refutation not found, incomplete strategy% (2910)------------------------------
% 0.51/0.70  % (2910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (2910)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.70  
% 0.51/0.70  % (2910)Memory used [KB]: 1906
% 0.51/0.70  % (2910)Time elapsed: 0.021 s
% 0.51/0.70  % (2910)Instructions burned: 45 (million)
% 0.51/0.70  % (2910)------------------------------
% 0.51/0.70  % (2910)------------------------------
% 0.51/0.70  % (2906)Instruction limit reached!
% 0.51/0.70  % (2906)------------------------------
% 0.51/0.70  % (2906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (2906)Termination reason: Unknown
% 0.51/0.70  % (2906)Termination phase: Preprocessing 3
% 0.51/0.70  
% 0.51/0.70  % (2906)Memory used [KB]: 2272
% 0.51/0.70  % (2906)Time elapsed: 0.024 s
% 0.51/0.70  % (2906)Instructions burned: 51 (million)
% 0.51/0.70  % (2906)------------------------------
% 0.51/0.70  % (2906)------------------------------
% 0.51/0.70  % (2917)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.51/0.70  % (2913)Instruction limit reached!
% 0.51/0.70  % (2913)------------------------------
% 0.51/0.70  % (2913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.70  % (2913)Termination reason: Unknown
% 0.51/0.70  % (2913)Termination phase: Preprocessing 3
% 0.51/0.70  
% 0.51/0.70  % (2913)Memory used [KB]: 2547
% 0.51/0.70  % (2913)Time elapsed: 0.014 s
% 0.51/0.70  % (2913)Instructions burned: 58 (million)
% 0.51/0.70  % (2913)------------------------------
% 0.51/0.70  % (2913)------------------------------
% 0.51/0.71  % (2918)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.51/0.71  % (2919)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.51/0.72  % (2911)First to succeed.
% 0.51/0.72  % (2914)Instruction limit reached!
% 0.51/0.72  % (2914)------------------------------
% 0.51/0.72  % (2914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (2914)Termination reason: Unknown
% 0.51/0.72  % (2914)Termination phase: Preprocessing 3
% 0.51/0.72  
% 0.51/0.72  % (2914)Memory used [KB]: 2214
% 0.51/0.72  % (2914)Time elapsed: 0.023 s
% 0.51/0.72  % (2914)Instructions burned: 50 (million)
% 0.51/0.72  % (2914)------------------------------
% 0.51/0.72  % (2914)------------------------------
% 0.51/0.72  % (2907)Instruction limit reached!
% 0.51/0.72  % (2907)------------------------------
% 0.51/0.72  % (2907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (2907)Termination reason: Unknown
% 0.51/0.72  % (2907)Termination phase: Saturation
% 0.51/0.72  
% 0.51/0.72  % (2907)Memory used [KB]: 2408
% 0.51/0.72  % (2907)Time elapsed: 0.041 s
% 0.51/0.72  % (2907)Instructions burned: 78 (million)
% 0.51/0.72  % (2907)------------------------------
% 0.51/0.72  % (2907)------------------------------
% 0.51/0.72  % (2911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2835"
% 0.51/0.72  % (2916)Instruction limit reached!
% 0.51/0.72  % (2916)------------------------------
% 0.51/0.72  % (2916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.72  % (2916)Termination reason: Unknown
% 0.51/0.72  % (2916)Termination phase: Preprocessing 3
% 0.51/0.72  
% 0.51/0.72  % (2916)Memory used [KB]: 2379
% 0.51/0.72  % (2916)Time elapsed: 0.025 s
% 0.51/0.72  % (2916)Instructions burned: 54 (million)
% 0.51/0.72  % (2916)------------------------------
% 0.51/0.72  % (2916)------------------------------
% 0.51/0.72  % (2911)Refutation found. Thanks to Tanya!
% 0.51/0.72  % SZS status Theorem for Vampire---4
% 0.51/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.78/0.73  % (2911)------------------------------
% 0.78/0.73  % (2911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.73  % (2911)Termination reason: Refutation
% 0.78/0.73  
% 0.78/0.73  % (2911)Memory used [KB]: 2252
% 0.78/0.73  % (2911)Time elapsed: 0.041 s
% 0.78/0.73  % (2911)Instructions burned: 84 (million)
% 0.78/0.73  % (2835)Success in time 0.343 s
% 0.78/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------