Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP297_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:32 AM UTC 2026

% Result   : Theorem 9.41s 2.31s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   45 (   6 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  21   ~;  12   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  186 ( 184 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  116 ( 114 usr;   1 prp; 0-4 aty)
%            Number of functors    :  857 ( 857 usr;  61 con; 0-7 aty)
%            Number of variables   :   51 (  48   !;   3   ?;  51   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_164,type,
    tltrue: tlbool ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_291,type,
    tlfalse: tlbool ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_379,type,
    sK51: ( 'O_m_unit_Category_ext$' * 'O$' * 'O$' ) > 'M$' ).

tff(func_def_380,type,
    sK52: ( 'Unit_unit_fun$' * 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_381,type,
    sK53: ( 'O_set_o_set_fun$' * 'O_set$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_382,type,
    sK54: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_383,type,
    sK55: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_384,type,
    sK56: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_385,type,
    sK57: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_386,type,
    sK58: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_387,type,
    sK59: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_388,type,
    sK60: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_389,type,
    sK61: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_390,type,
    sK62: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_391,type,
    sK63: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_392,type,
    sK64: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_393,type,
    sK65: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_394,type,
    sK66: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_395,type,
    sK67: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_396,type,
    sK68: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_397,type,
    sK69: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_398,type,
    sK70: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_399,type,
    sK71: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_400,type,
    sK72: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_401,type,
    sK73: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_402,type,
    sK74: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_403,type,
    sK75: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_404,type,
    sK76: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_405,type,
    sK77: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_406,type,
    sK78: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_407,type,
    sK79: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'O$' ).

tff(func_def_408,type,
    sK80: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_409,type,
    sK81: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_410,type,
    sK82: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_411,type,
    sK83: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_412,type,
    sK84: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_413,type,
    sK85: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_414,type,
    sK86: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_415,type,
    sK87: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_416,type,
    sK88: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_417,type,
    sK89: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_418,type,
    sK90: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_419,type,
    sK91: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_420,type,
    sK92: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_421,type,
    sK93: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_422,type,
    sK94: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'T$' ).

tff(func_def_423,type,
    sK95: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_424,type,
    sK96: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_425,type,
    sK97: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_426,type,
    sK98: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_427,type,
    sK99: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_428,type,
    sK100: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_429,type,
    sK101: 'T_f_Language$' > 'T$' ).

tff(func_def_430,type,
    sK102: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_431,type,
    sK103: 'T_f_Language$' > 'T$' ).

tff(func_def_432,type,
    sK104: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_433,type,
    sK105: 'T_f_Language$' > 'T$' ).

tff(func_def_434,type,
    sK106: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_435,type,
    sK107: 'T_f_Language$' > 'T$' ).

tff(func_def_436,type,
    sK108: 'T_f_Language$' > 'T$' ).

tff(func_def_437,type,
    sK109: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_438,type,
    sK110: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_439,type,
    sK111: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_440,type,
    sK112: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_441,type,
    sK113: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_442,type,
    sK114: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_443,type,
    sK115: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_444,type,
    sK116: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_445,type,
    sK117: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_446,type,
    sK118: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_447,type,
    sK119: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_448,type,
    sK120: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_449,type,
    sK121: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_450,type,
    sK122: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_451,type,
    sK123: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_452,type,
    sK124: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_453,type,
    sK125: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_454,type,
    sK126: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_455,type,
    sK127: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_456,type,
    sK128: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_457,type,
    sK129: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_458,type,
    sK130: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_459,type,
    sK131: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_460,type,
    sK132: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

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

tff(func_def_462,type,
    sK134: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' ) > 'T_o_fun$' ).

tff(func_def_463,type,
    sK135: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_464,type,
    sK136: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_465,type,
    sK137: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_466,type,
    sK138: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_467,type,
    sK139: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_468,type,
    sK140: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_469,type,
    sK141: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_470,type,
    sK142: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_471,type,
    sK143: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_472,type,
    sK144: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_473,type,
    sK145: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_474,type,
    sK146: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_475,type,
    sK147: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_476,type,
    sK148: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_477,type,
    sK149: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_478,type,
    sK150: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_479,type,
    sK151: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_480,type,
    sK152: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_481,type,
    sK153: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_482,type,
    sK154: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_483,type,
    sK155: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_484,type,
    sK156: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_485,type,
    sK157: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_486,type,
    sK158: ( 'O_m_fun_o_m_fun_fun$' * 'O_m_fun_o_m_fun_fun$' * 'O_m_fun$' ) > 'O_m_fun$' ).

tff(func_def_487,type,
    sK159: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_488,type,
    sK160: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_489,type,
    sK161: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_490,type,
    sK162: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_491,type,
    sK163: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_492,type,
    sK164: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_493,type,
    sK165: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_494,type,
    sK166: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_495,type,
    sK167: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_496,type,
    sK168: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_497,type,
    sK169: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_498,type,
    sK170: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_Expression$' ).

tff(func_def_499,type,
    sK171: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_Expression$' ).

tff(func_def_500,type,
    sK172: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_501,type,
    sK173: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_502,type,
    sK174: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_503,type,
    sK175: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_504,type,
    sK176: ( 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_505,type,
    sK177: ( 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun$' ) > 'M_m_m_fun_fun$' ).

tff(func_def_506,type,
    sK178: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' ) > 'M_o_fun$' ).

tff(func_def_507,type,
    sK179: ( 'M_set$' * 'M_set_m_set_fun$' * 'M_set_m_set_fun$' ) > 'M_set$' ).

tff(func_def_508,type,
    sK180: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_509,type,
    sK181: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_510,type,
    sK182: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_511,type,
    sK183: ( 'Unit_unit_fun$' * 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_512,type,
    sK184: ( 'M_m_m_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' * 'M_m_m_fun_fun_m_m_m_fun_fun_fun$' ) > 'M_m_m_fun_fun$' ).

tff(func_def_513,type,
    sK185: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_514,type,
    sK186: ( 'O_m_fun_o_m_fun_fun$' * 'O_m_fun$' * 'O_m_fun_o_m_fun_fun$' ) > 'O_m_fun$' ).

tff(func_def_515,type,
    sK187: ( 'O_m_IType$' * 'M_m_bool_fun_fun$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_516,type,
    sK188: ( 'O_m_IType$' * 'M_m_bool_fun_fun$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_517,type,
    sK189: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_518,type,
    sK190: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_519,type,
    sK191: ( 'O_m_IType$' * 'O_o_bool_fun_fun$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_520,type,
    sK192: ( 'O_m_IType$' * 'O_o_bool_fun_fun$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_521,type,
    sK193: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_522,type,
    sK194: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_523,type,
    sK195: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_524,type,
    sK196: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_525,type,
    sK197: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_526,type,
    sK198: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_527,type,
    sK199: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_528,type,
    sK200: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_529,type,
    sK201: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_530,type,
    sK202: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_531,type,
    sK203: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_532,type,
    sK204: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_533,type,
    sK205: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_534,type,
    sK206: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_535,type,
    sK207: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_536,type,
    sK208: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_537,type,
    sK209: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_538,type,
    sK210: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_539,type,
    sK211: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_540,type,
    sK212: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_541,type,
    sK213: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_542,type,
    sK214: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_543,type,
    sK215: ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' ) > 'T_t_fun$' ).

tff(func_def_544,type,
    sK216: ( 'O_set_o_set_fun$' * 'O_set$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_545,type,
    sK217: ( 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_546,type,
    sK218: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' ) > 'T_o_fun$' ).

tff(func_def_547,type,
    sK219: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_548,type,
    sK220: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_549,type,
    sK221: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_550,type,
    sK222: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_551,type,
    sK223: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_552,type,
    sK224: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_553,type,
    sK225: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_554,type,
    sK226: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_555,type,
    sK227: ( 'O_m_unit_Category_ext$' * 'M_m_prod$' ) > 'M$' ).

tff(func_def_556,type,
    sK228: ( 'O_m_unit_Category_ext$' * 'M_m_prod$' ) > 'M$' ).

tff(func_def_557,type,
    sK229: ( '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_558,type,
    sK230: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_559,type,
    sK231: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_560,type,
    sK232: ( '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_561,type,
    sK233: ( '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_562,type,
    sK234: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_563,type,
    sK235: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_564,type,
    sK236: ( '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_565,type,
    sK237: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > 'T$' ).

tff(func_def_566,type,
    sK238: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' ) > 'T$' ).

tff(func_def_567,type,
    sK239: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_568,type,
    sK240: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_569,type,
    sK241: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_570,type,
    sK242: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_571,type,
    sK243: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_572,type,
    sK244: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_573,type,
    sK245: ( 'O_set_o_set_fun$' * 'O_set$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

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

tff(func_def_575,type,
    sK247: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_576,type,
    sK248: ( 'T_t_unit_Signature_ext$' * 'T$' * 'T$' * 'T$' * 'T_t_Expression$' ) > 'T$' ).

tff(func_def_577,type,
    sK249: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_578,type,
    sK250: 'T_f_Language$' > 'T_f_Expression$' ).

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

tff(func_def_580,type,
    sK252: 'T_f_Language$' > 'T_f_Expression$' ).

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

tff(func_def_582,type,
    sK254: ( 'T_f_Expression$' * 'T$' * 'T_f_unit_Signature_ext$' * 'F$' * 'T$' ) > 'T$' ).

tff(func_def_583,type,
    sK255: 'T$' > 'O_m_IType$' ).

tff(func_def_584,type,
    sK256: ( 'T$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'O$' ).

tff(func_def_585,type,
    sK257: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_586,type,
    sK258: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_587,type,
    sK259: ( 'O_t_unit_Signature_ext$' * 'O$' * 'O_t_Expression$' * 'O$' * 'T$' ) > 'O$' ).

tff(func_def_588,type,
    sK260: ( 'O$' * 'O_o_Expression$' * 'O$' * 'O_o_unit_Signature_ext$' * 'O$' ) > 'O$' ).

tff(func_def_589,type,
    sK261: ( 'T_o_unit_Signature_ext$' * 'O$' * 'T$' * 'T$' * 'T_o_Expression$' ) > 'T$' ).

tff(func_def_590,type,
    sK262: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' ) > 'F_t_fun$' ).

tff(func_def_591,type,
    sK263: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_592,type,
    sK264: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_593,type,
    sK265: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

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

tff(func_def_595,type,
    sK267: ( 'O_m_IType$' * 'T_f_Expression$' * 'F$' * 'T$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' ) > 'T$' ).

tff(func_def_596,type,
    sK268: ( 'O_m_IType$' * 'T_f_Expression$' * 'F$' * 'T$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' ) > 'M$' ).

tff(func_def_597,type,
    sK269: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_598,type,
    sK270: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_599,type,
    sK271: 'O_m_unit_Category_ext$' > 'O_m_fun$' ).

tff(func_def_600,type,
    sK272: 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_601,type,
    sK273: 'O_m_unit_Category_ext$' > 'Unit$' ).

tff(func_def_602,type,
    sK274: 'O_m_unit_Category_ext$' > 'O_set$' ).

tff(func_def_603,type,
    sK275: 'O_m_unit_Category_ext$' > 'M_set$' ).

tff(func_def_604,type,
    sK276: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_605,type,
    sK277: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_606,type,
    sK278: 'T_f_o_m_unit_Interpretation_ext$' > 'T_f_unit_Signature_ext$' ).

tff(func_def_607,type,
    sK279: 'T_f_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_608,type,
    sK280: 'T_f_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_609,type,
    sK281: 'T_f_o_m_unit_Interpretation_ext$' > 'F_m_fun$' ).

tff(func_def_610,type,
    sK282: 'T_f_o_m_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_611,type,
    sK283: ( 'M_o_fun_m_o_fun_fun$' * 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_612,type,
    sK284: ( 'F_m_fun_f_m_fun_fun$' * 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_613,type,
    sK285: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_614,type,
    sK286: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_615,type,
    sK287: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_616,type,
    sK288: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_617,type,
    sK289: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_618,type,
    sK290: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_619,type,
    sK291: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_620,type,
    sK292: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_621,type,
    sK293: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_622,type,
    sK294: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_623,type,
    sK295: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_624,type,
    sK296: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_625,type,
    sK297: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_626,type,
    sK298: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_627,type,
    sK299: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_628,type,
    sK300: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_629,type,
    sK301: 'T$' ).

tff(func_def_630,type,
    sK302: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_631,type,
    sK303: 'T$' > 'O_m_IType$' ).

tff(func_def_632,type,
    sK304: ( 'F_set$' * 'F_set_f_set_fun$' * 'F_set_f_set_fun$' ) > 'F_set$' ).

tff(func_def_633,type,
    sK305: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_634,type,
    sK306: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_635,type,
    sK307: ( 'M$' * 'O_m_unit_Category_ext$' ) > 'M$' ).

tff(func_def_636,type,
    sK308: 'O_o_bool_fun_fun$' > 'O$' ).

tff(func_def_637,type,
    sK309: 'M_m_bool_fun_fun$' > 'M$' ).

tff(func_def_638,type,
    sK310: ( 'O_t_fun_o_t_fun_fun$' * 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_639,type,
    sK311: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_640,type,
    sK312: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_641,type,
    sK313: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_642,type,
    sK314: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_643,type,
    sK315: ( 'Unit_unit_fun$' * 'Unit$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_644,type,
    sK316: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_645,type,
    sK317: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_646,type,
    sK318: ( 'T$' * 'T_f_Expression$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' ) > 'M$' ).

tff(func_def_647,type,
    sK319: ( 'T$' * 'T_f_Expression$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' ) > 'M$' ).

tff(func_def_648,type,
    sK320: 'M$' ).

tff(func_def_649,type,
    sK321: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_650,type,
    sK322: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_651,type,
    sK323: ( 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_652,type,
    sK324: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_653,type,
    sK325: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_654,type,
    sK326: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_655,type,
    sK327: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_656,type,
    sK328: ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' ) > 'T_t_fun$' ).

tff(func_def_657,type,
    sK329: ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' ) > 'O_o_fun$' ).

tff(func_def_658,type,
    sK330: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > 'O$' ).

tff(func_def_659,type,
    sK331: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_660,type,
    sK332: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_661,type,
    sK333: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_662,type,
    sK334: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_663,type,
    sK335: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_664,type,
    sK336: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_665,type,
    sK337: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_666,type,
    sK338: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_667,type,
    sK339: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_668,type,
    sK340: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_669,type,
    sK341: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_670,type,
    sK342: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_671,type,
    sK343: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_672,type,
    sK344: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_673,type,
    sK345: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_674,type,
    sK346: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'F$' ).

tff(func_def_675,type,
    sK347: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_676,type,
    sK348: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_677,type,
    sK349: ( 'O_set_o_set_fun$' * 'O_set_o_set_fun$' * 'O_set$' ) > 'O_set$' ).

tff(func_def_678,type,
    sK350: ( 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_679,type,
    sK351: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_680,type,
    sK352: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T$' * 'T$' ) > 'M$' ).

tff(func_def_681,type,
    sK353: ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' ) > 'T_t_fun$' ).

tff(func_def_682,type,
    sK354: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_683,type,
    sK355: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_684,type,
    sK356: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_685,type,
    sK357: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_686,type,
    sK358: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_687,type,
    sK359: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'T$' ).

tff(func_def_688,type,
    sK360: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_689,type,
    sK361: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_690,type,
    sK362: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_Expression$' ).

tff(func_def_691,type,
    sK363: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_692,type,
    sK364: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_693,type,
    sK365: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_694,type,
    sK366: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_695,type,
    sK367: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_696,type,
    sK368: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_697,type,
    sK369: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_698,type,
    sK370: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_699,type,
    sK371: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_700,type,
    sK372: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_701,type,
    sK373: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_702,type,
    sK374: ( 'T_set_t_set_fun$' * 'T_set$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_703,type,
    sK375: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_704,type,
    sK376: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_705,type,
    sK377: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_706,type,
    sK378: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_707,type,
    sK379: ( 'M_m_prod_bool_fun$' * 'M_m_prod_bool_fun$' ) > 'M_m_prod$' ).

tff(func_def_708,type,
    sK380: ( 'T_set_t_set_fun$' * 'T_set_t_set_fun$' * 'T_set$' ) > 'T_set$' ).

tff(func_def_709,type,
    sK381: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_710,type,
    sK382: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_711,type,
    sK383: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_712,type,
    sK384: ( 'T_set_t_set_fun$' * 'T_set_t_set_fun$' * 'T_set$' ) > 'T_set$' ).

tff(func_def_713,type,
    sK385: ( 'O_bool_fun$' * 'O_bool_fun$' ) > 'O$' ).

tff(func_def_714,type,
    sK386: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_715,type,
    sK387: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_716,type,
    sK388: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_717,type,
    sK389: ( 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun$' ) > 'F_t_fun$' ).

tff(func_def_718,type,
    sK390: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_719,type,
    sK391: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_720,type,
    sK392: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_721,type,
    sK393: ( 'O_m_unit_Category_ext$' * 'M$' ) > 'M$' ).

tff(func_def_722,type,
    sK394: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_723,type,
    sK395: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_724,type,
    sK396: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_725,type,
    sK397: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_726,type,
    sK398: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_727,type,
    sK399: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_728,type,
    sK400: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_729,type,
    sK401: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_730,type,
    sK402: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_731,type,
    sK403: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_732,type,
    sK404: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_733,type,
    sK405: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_734,type,
    sK406: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_735,type,
    sK407: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_736,type,
    sK408: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_737,type,
    sK409: ( 'T_f_Language$' * 'T_t_bool_fun_fun$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_738,type,
    sK410: ( 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun$' ) > 'O_o_fun$' ).

tff(func_def_739,type,
    sK411: ( 'M_set_m_set_fun$' * 'M_set$' * 'M_set_m_set_fun$' ) > 'M_set$' ).

tff(func_def_740,type,
    sK412: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_741,type,
    sK413: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_742,type,
    sK414: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_743,type,
    sK415: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_744,type,
    sK416: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_745,type,
    sK417: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_746,type,
    sK418: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_747,type,
    sK419: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_748,type,
    sK420: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_749,type,
    sK421: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_750,type,
    sK422: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_751,type,
    sK423: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_752,type,
    sK424: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_753,type,
    sK425: 'T_f_Expression$' > 'T_f_Expression$' ).

tff(func_def_754,type,
    sK426: 'T_f_Expression$' > 'F$' ).

tff(func_def_755,type,
    sK427: ( 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T_t_bool_fun_fun$' ) > 'F$' ).

tff(func_def_756,type,
    sK428: ( 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T_t_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_757,type,
    sK429: ( 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T_t_bool_fun_fun$' ) > 'F$' ).

tff(func_def_758,type,
    sK430: ( 'F_f_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T_t_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_759,type,
    sK431: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_760,type,
    sK432: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_761,type,
    sK433: 'T_f_Language$' > 'T$' ).

tff(func_def_762,type,
    sK434: 'T_f_Language$' > 'T$' ).

tff(func_def_763,type,
    sK435: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_764,type,
    sK436: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_765,type,
    sK437: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_766,type,
    sK438: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_767,type,
    sK439: ( 'F_set_f_set_fun$' * 'F_set_f_set_fun$' * 'F_set$' ) > 'F_set$' ).

tff(func_def_768,type,
    sK440: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_769,type,
    sK441: 'O_m_IType$' ).

tff(func_def_770,type,
    sK442: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_771,type,
    sK443: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_772,type,
    sK444: ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'M_m_bool_fun_fun$' ) > 'M$' ).

tff(func_def_773,type,
    sK445: ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'M_m_bool_fun_fun$' ) > 'M$' ).

tff(func_def_774,type,
    sK446: ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'O_o_bool_fun_fun$' ) > 'O$' ).

tff(func_def_775,type,
    sK447: ( 'O_m_IType_o_m_IType_bool_fun_fun$' * 'O_o_bool_fun_fun$' ) > 'O$' ).

tff(func_def_776,type,
    sK448: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_777,type,
    sK449: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_778,type,
    sK450: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_779,type,
    sK451: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_780,type,
    sK452: ( 'T_bool_fun$' * 'T_bool_fun$' ) > 'T$' ).

tff(func_def_781,type,
    sK453: ( 'T_f_unit_Signature_ext$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' * 'T_f_unit_Signature_ext_t_f_unit_Signature_ext_fun$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_782,type,
    sK454: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_783,type,
    sK455: 'O_m_IType$' > 'O$' ).

tff(func_def_784,type,
    sK456: 'O_m_IType$' > 'M$' ).

tff(func_def_785,type,
    sK457: 'O_m_IType$' > tlbool ).

tff(func_def_786,type,
    sK458: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_787,type,
    sK459: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_788,type,
    sK460: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > 'O$' ).

tff(func_def_789,type,
    sK461: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'T_f_Expression$' ).

tff(func_def_790,type,
    sK462: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'T_f_Expression$' ).

tff(func_def_791,type,
    sK463: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_792,type,
    sK464: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_793,type,
    sK465: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_794,type,
    sK466: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_795,type,
    sK467: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_796,type,
    sK468: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_797,type,
    sK469: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_798,type,
    sK470: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_799,type,
    sK471: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_800,type,
    sK472: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_801,type,
    sK473: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_802,type,
    sK474: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'F$' ).

tff(func_def_803,type,
    sK475: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_804,type,
    sK476: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_805,type,
    sK477: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_806,type,
    sK478: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_807,type,
    sK479: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_808,type,
    sK480: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_809,type,
    sK481: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_810,type,
    sK482: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_811,type,
    sK483: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_812,type,
    sK484: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_813,type,
    sK485: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_814,type,
    sK486: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_815,type,
    sK487: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_816,type,
    sK488: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_817,type,
    sK489: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_818,type,
    sK490: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_Expression$' ).

tff(func_def_819,type,
    sK491: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_820,type,
    sK492: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_821,type,
    sK493: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_822,type,
    sK494: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_823,type,
    sK495: ( 'T_t_fun_t_t_fun_fun$' * 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_824,type,
    sK496: ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_825,type,
    sK497: ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'F$' ).

tff(func_def_826,type,
    sK498: ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_827,type,
    sK499: ( 'T_f_Expression_t_f_Expression_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'F$' ).

tff(func_def_828,type,
    sK500: 'M$' ).

tff(func_def_829,type,
    sK501: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_830,type,
    sK502: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_831,type,
    sK503: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_832,type,
    sK504: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_833,type,
    sK505: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_834,type,
    sK506: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_835,type,
    sK507: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_836,type,
    sK508: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_837,type,
    sK509: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_838,type,
    sK510: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_839,type,
    sK511: 'T_f_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_840,type,
    sK512: 'T_f_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_841,type,
    sK513: 'T_f_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_842,type,
    sK514: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_843,type,
    sK515: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_844,type,
    sK516: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_845,type,
    sK517: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_846,type,
    sK518: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_847,type,
    sK519: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_848,type,
    sK520: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_849,type,
    sK521: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_850,type,
    sK522: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_851,type,
    sK523: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_852,type,
    sK524: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_853,type,
    sK525: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_854,type,
    sK526: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_855,type,
    sK527: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_856,type,
    sK528: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_857,type,
    sK529: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_858,type,
    sK530: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_859,type,
    sK531: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_860,type,
    sK532: ( 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun$' ) > 'T_o_fun$' ).

tff(pred_def_1,type,
    'member$b': ( 'O_m_fun$' * 'O_m_fun_set$' ) > $o ).

tff(pred_def_2,type,
    'interpretation$c': 'O_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_3,type,
    'member$a': ( 'M_m_prod_m_fun$' * 'M_m_prod_m_fun_set$' ) > $o ).

tff(pred_def_4,type,
    'signature$d': 'T_t_unit_Signature_ext$' > $o ).

tff(pred_def_5,type,
    'rel_fun$k': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_6,type,
    'interpretation$b': 'T_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_7,type,
    'rel_fun$s': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_8,type,
    'signature$f': 'F_t_unit_Signature_ext$' > $o ).

tff(pred_def_9,type,
    'fun_app$a': ( 'M_m_prod_bool_fun$' * 'M_m_prod$' ) > $o ).

tff(pred_def_10,type,
    'wellDefined$': ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_11,type,
    'interpretation$': 'T_f_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_12,type,
    'fun_app$b': ( 'M_m_prod_m_fun_bool_fun$' * 'M_m_prod_m_fun$' ) > $o ).

tff(pred_def_13,type,
    'fun_app$k': ( 'T_f_Language_bool_fun$' * 'T_f_Language$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$bv': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' ) > $o ).

tff(pred_def_15,type,
    'interpretation$d': 'T_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_16,type,
    'wellDefined$b': ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_17,type,
    'fun_app$bp': ( 'F_t_f_Expression_t_f_Expression_fun_fun_bool_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun$' ) > $o ).

tff(pred_def_18,type,
    'member$': ( 'M_m_prod$' * 'M_m_prod_set$' ) > $o ).

tff(pred_def_19,type,
    'member$g': ( 'F$' * 'F_set$' ) > $o ).

tff(pred_def_20,type,
    'fun_app$bh': ( 'O_o_m_IType_fun_bool_fun$' * 'O_o_m_IType_fun$' ) > $o ).

tff(pred_def_21,type,
    'fun_app$c': ( 'O_m_fun_bool_fun$' * 'O_m_fun$' ) > $o ).

tff(pred_def_22,type,
    'rel_fun$ap': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_23,type,
    'wellDefined$a': ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_24,type,
    'member$e': ( 'O$' * 'O_set$' ) > $o ).

tff(pred_def_25,type,
    'fun_app$d': ( 'M_o_fun_bool_fun$' * 'M_o_fun$' ) > $o ).

tff(pred_def_26,type,
    'fun_app$f': ( 'O_bool_fun$' * 'O$' ) > $o ).

tff(pred_def_27,type,
    'rel_fun$af': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_28,type,
    'signature$': 'T_f_unit_Signature_ext$' > $o ).

tff(pred_def_29,type,
    'fun_app$bl': ( 'M_o_m_IType_fun_bool_fun$' * 'M_o_m_IType_fun$' ) > $o ).

tff(pred_def_30,type,
    'signature$i': 'T_m_unit_Signature_ext$' > $o ).

tff(pred_def_31,type,
    'fun_app$bn': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_32,type,
    'fun_app$bj': ( 'T_t_f_Language_fun_bool_fun$' * 'T_t_f_Language_fun$' ) > $o ).

tff(pred_def_33,type,
    'top$': tlbool > $o ).

tff(pred_def_34,type,
    'wellDefined$d': ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_35,type,
    'rel_fun$ba': ( 'O_o_m_IType_fun_o_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_36,type,
    'fun_app$g': ( 'M_bool_fun$' * 'M$' ) > $o ).

tff(pred_def_37,type,
    'rel_fun$be': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_38,type,
    'fun_app$m': ( 'O_m_IType_bool_fun$' * 'O_m_IType$' ) > $o ).

tff(pred_def_39,type,
    'category$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_40,type,
    'rel_fun$bh': ( 'O_o_fun_o_o_fun_bool_fun_fun$' * 'M_m_fun_o_m_IType_o_m_IType_fun_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_41,type,
    'member$c': ( 'M_o_fun$' * 'M_o_fun_set$' ) > $o ).

tff(pred_def_42,type,
    'fun_app$h': ( 'F_bool_fun$' * 'F$' ) > $o ).

tff(pred_def_43,type,
    'signature$a': 'O_o_unit_Signature_ext$' > $o ).

tff(pred_def_44,type,
    'interpretation$a': 'O_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_45,type,
    'member$f': ( 'M$' * 'M_set$' ) > $o ).

tff(pred_def_46,type,
    'interp$': ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > $o ).

tff(pred_def_47,type,
    'signature$c': 'O_t_unit_Signature_ext$' > $o ).

tff(pred_def_48,type,
    'category_axioms$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_49,type,
    'signature$g': 'M_o_unit_Signature_ext$' > $o ).

tff(pred_def_50,type,
    'signature$b': 'T_o_unit_Signature_ext$' > $o ).

tff(pred_def_51,type,
    'rel_fun$aa': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_52,type,
    'fun_app$e': ( 'T_bool_fun$' * 'T$' ) > $o ).

tff(pred_def_53,type,
    'signature$h': 'F_o_unit_Signature_ext$' > $o ).

tff(pred_def_54,type,
    'signature$e': 'M_t_unit_Signature_ext$' > $o ).

tff(pred_def_55,type,
    'wellDefined$c': ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_56,type,
    'fun_app$bf': ( 'Bool_o_m_IType_fun_bool_fun$' * 'Bool_o_m_IType_fun$' ) > $o ).

tff(pred_def_57,type,
    'rel_fun$ak': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_58,type,
    'rel_fun$au': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' ) > $o ).

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

tff(pred_def_60,type,
    'member$d': ( 'T$' * 'T_set$' ) > $o ).

tff(pred_def_61,type,
    'rel_fun$c': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_62,type,
    'fun_app$o': ( 'Bool_bool_fun$' * tlbool ) > $o ).

tff(pred_def_63,type,
    'fun_app$i': ( 'T_f_Expression_bool_fun$' * 'T_f_Expression$' ) > $o ).

tff(pred_def_66,type,
    sP0: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_67,type,
    sP1: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_68,type,
    sP2: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_69,type,
    sP3: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_70,type,
    sP4: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_71,type,
    sP5: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_72,type,
    sP6: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_73,type,
    sP7: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_74,type,
    sP8: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_75,type,
    sP9: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_76,type,
    sP10: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_77,type,
    sP11: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_78,type,
    sP12: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_79,type,
    sP13: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_80,type,
    sP14: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_81,type,
    sP15: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_82,type,
    sP16: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_83,type,
    sP17: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_84,type,
    sP18: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_85,type,
    sP19: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_86,type,
    sP20: ( 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_87,type,
    sP21: ( 'O_m_IType$' * 'M_m_bool_fun_fun$' * 'O_m_IType$' ) > $o ).

tff(pred_def_88,type,
    sP22: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_89,type,
    sP23: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_90,type,
    sP24: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_91,type,
    sP25: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > $o ).

tff(pred_def_92,type,
    sP26: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_93,type,
    sP27: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_94,type,
    sP28: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_95,type,
    sP29: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_96,type,
    sP30: ( 'T_f_Language$' * 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_97,type,
    sP31: ( 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' * 'T_f_Language$' ) > $o ).

tff(pred_def_98,type,
    sP32: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_99,type,
    sP33: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_100,type,
    sP34: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_101,type,
    sP35: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > $o ).

tff(pred_def_102,type,
    sP36: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_103,type,
    sP37: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_104,type,
    sP38: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_105,type,
    sP39: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_106,type,
    sP40: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_107,type,
    sP41: 'O_m_IType_o_m_IType_bool_fun_fun$' > $o ).

tff(pred_def_108,type,
    sP42: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_109,type,
    sP43: ( 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' * 'O_m_IType$' ) > $o ).

tff(pred_def_110,type,
    sP44: ( 'O_m_IType$' * 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_111,type,
    sP45: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_112,type,
    sP46: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_113,type,
    sP47: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_114,type,
    sP48: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_115,type,
    sP49: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_116,type,
    sP50: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

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/sandbox2/benchmark/theBenchmark.p',conjecture24) ).

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,[status(cth)],[f25]) ).

tff(f27,axiom,
    ( ! [X0: 'M$'] :
        ( ( 'i$a' = 'fun_app$ac'('iMor$',X0) )
       => $false )
   => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom25) ).

tff(f30,axiom,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom28) ).

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/sandbox2/benchmark/theBenchmark.p',axiom32) ).

tff(f76,axiom,
    ! [X5: 'T$',X6: 'M$',X1: 'T$',X4: 'F$',X0: 'T_f_o_m_unit_Interpretation_ext$',X3: 'T$',X2: 'T_f_Expression$'] :
      ( ( 'wellDefined$'('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),X2),X3),'fun_app$ac'('iMor$',X6))
        & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X4,'iSignature$'(X0)),X3),X5) )
     => 'interp$'(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X1),'fun_app$aa'('fun_app$ab'('exprApp$',X4),X2)),X5),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X0)),X6),'fun_app$ae'('iFunctions$'(X0),X4)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom74) ).

tff(f601,plain,
    ! [X5: 'T$',X4: 'T_f_o_m_unit_Interpretation_ext$',X1: 'M$',X2: 'T$',X6: 'T_f_Expression$',X3: 'F$',X0: 'T$'] :
      ( ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X5),X0)
        & 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5))
        & 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5),'fun_app$ac'('iMor$',X1)) )
     => 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X6)),X0),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X1),'fun_app$ae'('iFunctions$'(X4),X3)))) ),
    inference(rectify,[],[f76]) ).

tff(f975,plain,
    ~ ! [X0: 'M$'] :
        ( ( ~ 'i$a' ) = 'fun_app$ac'('iMor$',X0) ),
    inference(true_and_false_elimination,[],[f27]) ).

tff(f976,plain,
    ~ ! [X0: 'M$'] : ( 'i$a' != 'fun_app$ac'('iMor$',X0) ),
    inference(flattening,[],[f975]) ).

tff(f1276,plain,
    ? [X0: 'M$'] : ( 'i$a' = 'fun_app$ac'('iMor$',X0) ),
    inference(ennf_transformation,[],[f976]) ).

tff(f1308,plain,
    ! [X5: 'T$',X4: 'T_f_o_m_unit_Interpretation_ext$',X1: 'M$',X2: 'T$',X6: 'T_f_Expression$',X3: 'F$',X0: 'T$'] :
      ( 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X6)),X0),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X1),'fun_app$ae'('iFunctions$'(X4),X3))))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X5),X0)
      | ~ 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5))
      | ~ 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5),'fun_app$ac'('iMor$',X1)) ),
    inference(ennf_transformation,[],[f601]) ).

tff(f1309,plain,
    ! [X3: 'F$',X4: 'T_f_o_m_unit_Interpretation_ext$',X2: 'T$',X6: 'T_f_Expression$',X5: 'T$',X0: 'T$',X1: 'M$'] :
      ( ~ 'wellDefined$'('iSignature$'(X4),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5))
      | 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),'fun_app$aa'('fun_app$ab'('exprApp$',X3),X6)),X0),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X4)),X1),'fun_app$ae'('iFunctions$'(X4),X3))))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X3,'iSignature$'(X4)),X5),X0)
      | ~ 'interp$'(X4,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X6),X5),'fun_app$ac'('iMor$',X1)) ),
    inference(flattening,[],[f1308]) ).

tff(f1399,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(f1791,plain,
    ! [X0: 'F$',X1: 'T_f_o_m_unit_Interpretation_ext$',X2: 'T$',X3: 'T_f_Expression$',X4: 'T$',X5: 'T$',X6: 'M$'] :
      ( ~ 'wellDefined$'('iSignature$'(X1),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X3),X4))
      | 'interp$'(X1,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),'fun_app$aa'('fun_app$ab'('exprApp$',X0),X3)),X5),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X1)),X6),'fun_app$ae'('iFunctions$'(X1),X0))))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,'iSignature$'(X1)),X4),X5)
      | ~ 'interp$'(X1,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X3),X4),'fun_app$ac'('iMor$',X6)) ),
    inference(rectify,[],[f1309]) ).

tff(f2156,plain,
    'i$a' = 'fun_app$ac'('iMor$',sK320),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK320]),skolemize(X0,sK320)],[f1276]) ).

tff(f2688,plain,
    ! [X2: 'T$',X3: 'T_f_Expression$',X0: 'F$',X1: 'T_f_o_m_unit_Interpretation_ext$',X6: 'M$',X4: 'T$',X5: 'T$'] :
      ( ~ 'interp$'(X1,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X3),X4),'fun_app$ac'('iMor$',X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,'iSignature$'(X1)),X4),X5)
      | ~ 'wellDefined$'('iSignature$'(X1),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),X3),X4))
      | 'interp$'(X1,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X2),'fun_app$aa'('fun_app$ab'('exprApp$',X0),X3)),X5),'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X1)),X6),'fun_app$ae'('iFunctions$'(X1),X0)))) ),
    inference(cnf_transformation,[],[f1791]) ).

tff(f3242,plain,
    'i$a' = 'fun_app$ac'('iMor$',sK320),
    inference(cnf_transformation,[],[f2156]) ).

tff(f3336,plain,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    inference(cnf_transformation,[],[f30]) ).

tff(f3357,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,[],[f1399]) ).

tff(f3575,plain,
    'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a')),
    inference(cnf_transformation,[],[f34]) ).

tff(f3576,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$'),
    inference(cnf_transformation,[],[f34]) ).

tff(f4219,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,[],[f2688,f3576,f3575,f3357]) ).

tff(f4232,plain,
    ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    inference(superposition,[],[f4219,f3242]) ).

tff(f4233,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4232,f3336]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP297_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n007.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 12:51:25 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.32/1.42  % (1387702)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.32/1.42  % (1387709)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4173153707:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.32/1.42  % (1387707)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3157823290:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.32/1.42  % (1387713)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2322498114:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.32/1.42  % (1387711)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3349896648:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.32/1.42  % (1387710)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1733777544:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.32/1.42  % (1387708)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1290052879:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.32/1.42  % (1387712)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3623111062:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.32/1.42  % (1387711)Instruction limit reached! 
% 3.32/1.42  % (1387711)------------------------------
% 3.32/1.42  % (1387711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.42  % (1387711)CaDiCaL version: 2.1.3
% 3.32/1.42  % (1387711)Termination reason: Instruction limit
% 3.32/1.42  % (1387711)Termination phase: Property scanning
% 3.32/1.42  % (1387711)Time elapsed: 0.003 s
% 3.32/1.42  % (1387711)Peak memory usage: 86 MB
% 3.32/1.42  % (1387711)Instructions burned: 4 (million)
% 3.32/1.42  % (1387710)Instruction limit reached! 
% 3.32/1.42  % (1387710)------------------------------
% 3.32/1.42  % (1387710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.42  % (1387710)CaDiCaL version: 2.1.3
% 3.32/1.42  % (1387710)Termination reason: Instruction limit
% 3.32/1.42  % (1387710)Termination phase: Property scanning
% 3.32/1.42  % (1387710)Time elapsed: 0.004 s
% 3.32/1.42  % (1387710)Peak memory usage: 86 MB
% 3.32/1.42  % (1387710)Instructions burned: 7 (million)
% 3.32/1.42  % (1387707)Instruction limit reached! 
% 3.32/1.42  % (1387707)------------------------------
% 3.32/1.42  % (1387707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.42  % (1387707)CaDiCaL version: 2.1.3
% 3.32/1.42  % (1387707)Termination reason: Instruction limit
% 3.32/1.42  % (1387707)Termination phase: shuffling
% 3.32/1.42  % (1387707)Time elapsed: 0.007 s
% 3.32/1.42  % (1387707)Peak memory usage: 86 MB
% 3.32/1.42  % (1387707)Instructions burned: 12 (million)
% 3.32/1.42  % (1387713)Instruction limit reached! 
% 3.32/1.42  % (1387713)------------------------------
% 3.32/1.42  % (1387713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.42  % (1387713)CaDiCaL version: 2.1.3
% 3.32/1.42  % (1387713)Termination reason: Instruction limit
% 3.32/1.42  % (1387713)Termination phase: Naming
% 3.32/1.42  % (1387713)Time elapsed: 0.019 s
% 3.32/1.42  % (1387713)Peak memory usage: 87 MB
% 3.32/1.42  % (1387713)Instructions burned: 34 (million)
% 3.32/1.42  % (1387712)Instruction limit reached! 
% 3.32/1.42  % (1387712)------------------------------
% 3.32/1.42  % (1387712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.42  % (1387712)CaDiCaL version: 2.1.3
% 3.32/1.42  % (1387712)Termination reason: Instruction limit
% 3.32/1.42  % (1387712)Termination phase: Property scanning
% 3.32/1.42  % (1387712)Time elapsed: 0.030 s
% 3.32/1.42  % (1387712)Peak memory usage: 89 MB
% 3.32/1.42  % (1387712)Instructions burned: 48 (million)
% 3.32/1.42  % (1387709)Instruction limit reached! 
% 3.32/1.42  % (1387709)------------------------------
% 3.32/1.42  % (1387709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.42  % (1387709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387709)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387709)Termination reason: Instruction limit
% 4.08/1.57  % (1387709)Termination phase: Saturation
% 4.08/1.57  % (1387709)Time elapsed: 0.080 s
% 4.08/1.57  % (1387709)Peak memory usage: 120 MB
% 4.08/1.57  % (1387709)Instructions burned: 203 (million)
% 4.08/1.57  % (1387708)Instruction limit reached! 
% 4.08/1.57  % (1387708)------------------------------
% 4.08/1.57  % (1387708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387708)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387708)Termination reason: Instruction limit
% 4.08/1.57  % (1387708)Termination phase: Property scanning
% 4.08/1.57  % (1387708)Time elapsed: 0.129 s
% 4.08/1.57  % (1387708)Peak memory usage: 90 MB
% 4.08/1.57  % (1387708)Instructions burned: 308 (million)
% 4.08/1.57  % (1387722)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1736716513:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.08/1.57  % (1387723)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1757690947:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.08/1.57  % (1387721)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2360635230:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.08/1.57  % (1387726)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1103380390:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.08/1.57  % (1387721)Instruction limit reached! 
% 4.08/1.57  % (1387721)------------------------------
% 4.08/1.57  % (1387721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387721)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387721)Termination reason: Instruction limit
% 4.08/1.57  % (1387721)Termination phase: SInE selection
% 4.08/1.57  % (1387721)Time elapsed: 0.009 s
% 4.08/1.57  % (1387721)Peak memory usage: 86 MB
% 4.08/1.57  % (1387721)Instructions burned: 14 (million)
% 4.08/1.57  % (1387723)Instruction limit reached! 
% 4.08/1.57  % (1387723)------------------------------
% 4.08/1.57  % (1387723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387723)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387723)Termination reason: Instruction limit
% 4.08/1.57  % (1387723)Termination phase: Preprocessing 1
% 4.08/1.57  % (1387723)Time elapsed: 0.010 s
% 4.08/1.57  % (1387723)Peak memory usage: 86 MB
% 4.08/1.57  % (1387723)Instructions burned: 16 (million)
% 4.08/1.57  % (1387722)Instruction limit reached! 
% 4.08/1.57  % (1387722)------------------------------
% 4.08/1.57  % (1387722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387722)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387722)Termination reason: Instruction limit
% 4.08/1.57  % (1387722)Termination phase: Unused predicate definition removal
% 4.08/1.57  % (1387722)Time elapsed: 0.017 s
% 4.08/1.57  % (1387722)Peak memory usage: 87 MB
% 4.08/1.57  % (1387722)Instructions burned: 29 (million)
% 4.08/1.57  % (1387724)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1346850006:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.08/1.57  % (1387726)Instruction limit reached! 
% 4.08/1.57  % (1387726)------------------------------
% 4.08/1.57  % (1387726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387726)CaDiCaL version: 2.1.3
% 4.08/1.57  % (1387726)Termination reason: Instruction limit
% 4.08/1.57  % (1387726)Termination phase: Property scanning
% 4.08/1.57  % (1387726)Time elapsed: 0.026 s
% 4.08/1.57  % (1387726)Peak memory usage: 89 MB
% 4.08/1.57  % (1387726)Instructions burned: 90 (million)
% 4.08/1.57  % (1387724)Instruction limit reached! 
% 4.08/1.57  % (1387724)------------------------------
% 4.08/1.57  % (1387724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.57  % (1387724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.57  % (1387724)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387724)Termination reason: Instruction limit
% 5.19/1.70  % (1387724)Termination phase: Preprocessing 1
% 5.19/1.70  % (1387724)Time elapsed: 0.014 s
% 5.19/1.70  % (1387724)Peak memory usage: 86 MB
% 5.19/1.70  % (1387724)Instructions burned: 25 (million)
% 5.19/1.70  % (1387725)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2680272812:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 5.19/1.70  % (1387725)Instruction limit reached! 
% 5.19/1.70  % (1387725)------------------------------
% 5.19/1.70  % (1387725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.70  % (1387725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.70  % (1387725)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387725)Termination reason: Instruction limit
% 5.19/1.70  % (1387725)Termination phase: Preprocessing 1
% 5.19/1.70  % (1387725)Time elapsed: 0.015 s
% 5.19/1.70  % (1387725)Peak memory usage: 87 MB
% 5.19/1.70  % (1387725)Instructions burned: 27 (million)
% 5.19/1.70  % (1387737)lrs+10_1_thi=all:si=on:fd=off:random_seed=1486547808:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.19/1.70  % (1387732)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1646892876:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.19/1.70  % (1387727)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1770182825:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.19/1.70  % (1387727)Instruction limit reached! 
% 5.19/1.70  % (1387727)------------------------------
% 5.19/1.70  % (1387727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.70  % (1387727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.70  % (1387727)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387727)Termination reason: Instruction limit
% 5.19/1.70  % (1387727)Termination phase: shuffling
% 5.19/1.70  % (1387727)Time elapsed: 0.002 s
% 5.19/1.70  % (1387727)Peak memory usage: 85 MB
% 5.19/1.70  % (1387727)Instructions burned: 2 (million)
% 5.19/1.70  % (1387737)Instruction limit reached! 
% 5.19/1.70  % (1387737)------------------------------
% 5.19/1.70  % (1387737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.70  % (1387737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.70  % (1387737)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387737)Termination reason: Instruction limit
% 5.19/1.70  % (1387737)Termination phase: Naming
% 5.19/1.70  % (1387737)Time elapsed: 0.015 s
% 5.19/1.70  % (1387737)Peak memory usage: 88 MB
% 5.19/1.70  % (1387737)Instructions burned: 55 (million)
% 5.19/1.70  % (1387733)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3459968368:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.19/1.70  % (1387733)Instruction limit reached! 
% 5.19/1.70  % (1387733)------------------------------
% 5.19/1.70  % (1387733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.70  % (1387733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.70  % (1387733)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387733)Termination reason: Instruction limit
% 5.19/1.70  % (1387733)Termination phase: Property scanning
% 5.19/1.70  % (1387733)Time elapsed: 0.004 s
% 5.19/1.70  % (1387733)Peak memory usage: 86 MB
% 5.19/1.70  % (1387733)Instructions burned: 6 (million)
% 5.19/1.70  % (1387735)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4126945090:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.19/1.70  % (1387738)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2969584591:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.19/1.70  % (1387738)Instruction limit reached! 
% 5.19/1.70  % (1387738)------------------------------
% 5.19/1.70  % (1387738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.70  % (1387738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.70  % (1387738)CaDiCaL version: 2.1.3
% 5.19/1.70  % (1387738)Termination reason: Instruction limit
% 5.19/1.70  % (1387738)Termination phase: Property scanning
% 5.19/1.70  % (1387738)Time elapsed: 0.005 s
% 5.19/1.70  % (1387738)Peak memory usage: 85 MB
% 6.17/1.93  % (1387738)Instructions burned: 9 (million)
% 6.17/1.93  % (1387739)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=211968526:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.17/1.93  % (1387739)Instruction limit reached! 
% 6.17/1.93  % (1387739)------------------------------
% 6.17/1.93  % (1387739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387739)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387739)Termination reason: Instruction limit
% 6.17/1.93  % (1387739)Termination phase: shuffling
% 6.17/1.93  % (1387739)Time elapsed: 0.002 s
% 6.17/1.93  % (1387739)Peak memory usage: 85 MB
% 6.17/1.93  % (1387739)Instructions burned: 2 (million)
% 6.17/1.93  % (1387735)Instruction limit reached! 
% 6.17/1.93  % (1387735)------------------------------
% 6.17/1.93  % (1387735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387735)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387735)Termination reason: Instruction limit
% 6.17/1.93  % (1387735)Termination phase: Property scanning
% 6.17/1.93  % (1387735)Time elapsed: 0.040 s
% 6.17/1.93  % (1387735)Peak memory usage: 89 MB
% 6.17/1.93  % (1387735)Instructions burned: 66 (million)
% 6.17/1.93  % (1387744)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1424203126:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.17/1.93  % (1387732)Instruction limit reached! 
% 6.17/1.93  % (1387732)------------------------------
% 6.17/1.93  % (1387732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387732)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387732)Termination reason: Instruction limit
% 6.17/1.93  % (1387732)Termination phase: Saturation
% 6.17/1.93  % (1387732)Time elapsed: 0.124 s
% 6.17/1.93  % (1387732)Peak memory usage: 91 MB
% 6.17/1.93  % (1387732)Instructions burned: 182 (million)
% 6.17/1.93  % (1387743)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2653018758:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.17/1.93  % (1387743)Instruction limit reached! 
% 6.17/1.93  % (1387743)------------------------------
% 6.17/1.93  % (1387743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387743)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387743)Termination reason: Instruction limit
% 6.17/1.93  % (1387743)Termination phase: Property scanning
% 6.17/1.93  % (1387743)Time elapsed: 0.003 s
% 6.17/1.93  % (1387743)Peak memory usage: 86 MB
% 6.17/1.93  % (1387743)Instructions burned: 3 (million)
% 6.17/1.93  % (1387747)dis+10_1_si=on:random_seed=3422075906:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.17/1.93  % (1387747)Instruction limit reached! 
% 6.17/1.93  % (1387747)------------------------------
% 6.17/1.93  % (1387747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387747)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387747)Termination reason: Instruction limit
% 6.17/1.93  % (1387747)Termination phase: Property scanning
% 6.17/1.93  % (1387747)Time elapsed: 0.006 s
% 6.17/1.93  % (1387747)Peak memory usage: 86 MB
% 6.17/1.93  % (1387747)Instructions burned: 11 (million)
% 6.17/1.93  % (1387744)Instruction limit reached! 
% 6.17/1.93  % (1387744)------------------------------
% 6.17/1.93  % (1387744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.93  % (1387744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.93  % (1387744)CaDiCaL version: 2.1.3
% 6.17/1.93  % (1387744)Termination reason: Instruction limit
% 6.17/1.93  % (1387744)Termination phase: Saturation
% 6.17/1.93  % (1387744)Time elapsed: 0.057 s
% 6.17/1.93  % (1387744)Peak memory usage: 116 MB
% 6.17/1.93  % (1387744)Instructions burned: 129 (million)
% 6.17/1.93  % (1387749)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4021704160:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.17/1.93  % (1387751)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2991822741:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 9.27/2.27  % (1387749)Instruction limit reached! 
% 9.27/2.27  % (1387749)------------------------------
% 9.27/2.27  % (1387749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387749)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387749)Termination reason: Instruction limit
% 9.27/2.27  % (1387749)Termination phase: Preprocessing 1
% 9.27/2.27  % (1387749)Time elapsed: 0.015 s
% 9.27/2.27  % (1387749)Peak memory usage: 87 MB
% 9.27/2.27  % (1387749)Instructions burned: 26 (million)
% 9.27/2.27  % (1387752)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2697909719:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 9.27/2.27  % (1387752)Instruction limit reached! 
% 9.27/2.27  % (1387752)------------------------------
% 9.27/2.27  % (1387752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387752)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387752)Termination reason: Instruction limit
% 9.27/2.27  % (1387752)Termination phase: shuffling
% 9.27/2.27  % (1387752)Time elapsed: 0.002 s
% 9.27/2.27  % (1387752)Peak memory usage: 85 MB
% 9.27/2.27  % (1387752)Instructions burned: 2 (million)
% 9.27/2.27  % (1387751)Instruction limit reached! 
% 9.27/2.27  % (1387751)------------------------------
% 9.27/2.27  % (1387751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387751)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387751)Termination reason: Instruction limit
% 9.27/2.27  % (1387751)Termination phase: Naming
% 9.27/2.27  % (1387751)Time elapsed: 0.021 s
% 9.27/2.27  % (1387751)Peak memory usage: 88 MB
% 9.27/2.27  % (1387751)Instructions burned: 35 (million)
% 9.27/2.27  % (1387754)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1132743237:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 9.27/2.27  % (1387759)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=436650019:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 9.27/2.27  % (1387754)Instruction limit reached! 
% 9.27/2.27  % (1387754)------------------------------
% 9.27/2.27  % (1387754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387754)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387754)Termination reason: Instruction limit
% 9.27/2.27  % (1387754)Termination phase: Property scanning
% 9.27/2.27  % (1387754)Time elapsed: 0.005 s
% 9.27/2.27  % (1387754)Peak memory usage: 86 MB
% 9.27/2.27  % (1387754)Instructions burned: 8 (million)
% 9.27/2.27  % (1387757)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4177355833:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 9.27/2.27  % (1387759)Refutation not found, incomplete strategy
% 9.27/2.27  % (1387759)------------------------------
% 9.27/2.27  % (1387759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387759)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387759)Termination reason: Refutation not found, incomplete strategy
% 9.27/2.27  % (1387759)Time elapsed: 0.028 s
% 9.27/2.27  % (1387759)Peak memory usage: 114 MB
% 9.27/2.27  % (1387759)Instructions burned: 45 (million)
% 9.27/2.27  % (1387758)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2843209889:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 9.27/2.27  % (1387758)Instruction limit reached! 
% 9.27/2.27  % (1387758)------------------------------
% 9.27/2.27  % (1387758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.27  % (1387758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.27  % (1387758)CaDiCaL version: 2.1.3
% 9.27/2.27  % (1387758)Termination reason: Instruction limit
% 9.27/2.27  % (1387758)Termination phase: Property scanning
% 9.27/2.27  % (1387758)Time elapsed: 0.007 s
% 9.27/2.27  % (1387758)Peak memory usage: 85 MB
% 9.27/2.27  % (1387758)Instructions burned: 14 (million)
% 9.41/2.31  % (1387762)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3691217596:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 9.41/2.31  % (1387762)Instruction limit reached! 
% 9.41/2.31  % (1387762)------------------------------
% 9.41/2.31  % (1387762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387762)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387762)Termination reason: Instruction limit
% 9.41/2.31  % (1387762)Termination phase: Property scanning
% 9.41/2.31  % (1387762)Time elapsed: 0.007 s
% 9.41/2.31  % (1387762)Peak memory usage: 86 MB
% 9.41/2.31  % (1387762)Instructions burned: 11 (million)
% 9.41/2.31  % (1387765)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1229457737:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 9.41/2.31  % (1387764)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2228464561:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 9.41/2.31  % (1387764)Instruction limit reached! 
% 9.41/2.31  % (1387764)------------------------------
% 9.41/2.31  % (1387764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387764)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387764)Termination reason: Instruction limit
% 9.41/2.31  % (1387764)Termination phase: Property scanning
% 9.41/2.31  % (1387764)Time elapsed: 0.041 s
% 9.41/2.31  % (1387764)Peak memory usage: 89 MB
% 9.41/2.31  % (1387764)Instructions burned: 71 (million)
% 9.41/2.31  % (1387765)Instruction limit reached! 
% 9.41/2.31  % (1387765)------------------------------
% 9.41/2.31  % (1387765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387765)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387765)Termination reason: Instruction limit
% 9.41/2.31  % (1387765)Termination phase: Property scanning
% 9.41/2.31  % (1387765)Time elapsed: 0.043 s
% 9.41/2.31  % (1387765)Peak memory usage: 90 MB
% 9.41/2.31  % (1387765)Instructions burned: 77 (million)
% 9.41/2.31  % (1387768)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3113603225:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 9.41/2.31  % (1387759)------------------------------
% 9.41/2.31  % (1387759)------------------------------
% 9.41/2.31  % (1387771)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1944166282:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 9.41/2.31  % (1387773)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3189813555:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 9.41/2.31  % (1387757)Instruction limit reached! 
% 9.41/2.31  % (1387757)------------------------------
% 9.41/2.31  % (1387757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387757)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387757)Termination reason: Instruction limit
% 9.41/2.31  % (1387757)Termination phase: Saturation
% 9.41/2.31  % (1387757)Time elapsed: 0.224 s
% 9.41/2.31  % (1387757)Peak memory usage: 95 MB
% 9.41/2.31  % (1387757)Instructions burned: 370 (million)
% 9.41/2.31  % (1387771)Instruction limit reached! 
% 9.41/2.31  % (1387771)------------------------------
% 9.41/2.31  % (1387771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387771)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387771)Termination reason: Instruction limit
% 9.41/2.31  % (1387771)Termination phase: Property scanning
% 9.41/2.31  % (1387771)Time elapsed: 0.062 s
% 9.41/2.31  % (1387771)Peak memory usage: 90 MB
% 9.41/2.31  % (1387771)Instructions burned: 132 (million)
% 9.41/2.31  % (1387776)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=219631580:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 9.41/2.31  % (1387777)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=4181037739:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 9.41/2.31  % (1387768)Instruction limit reached! 
% 9.41/2.31  % (1387768)------------------------------
% 9.41/2.31  % (1387768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387768)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387768)Termination reason: Instruction limit
% 9.41/2.31  % (1387768)Termination phase: Property scanning
% 9.41/2.31  % (1387768)Time elapsed: 0.124 s
% 9.41/2.31  % (1387768)Peak memory usage: 90 MB
% 9.41/2.31  % (1387768)Instructions burned: 297 (million)
% 9.41/2.31  % (1387779)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2177918346:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 9.41/2.31  % (1387776)Instruction limit reached! 
% 9.41/2.31  % (1387776)------------------------------
% 9.41/2.31  % (1387776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387776)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387776)Termination reason: Instruction limit
% 9.41/2.31  % (1387776)Termination phase: Preprocessing 1
% 9.41/2.31  % (1387776)Time elapsed: 0.020 s
% 9.41/2.31  % (1387776)Peak memory usage: 86 MB
% 9.41/2.31  % (1387776)Instructions burned: 42 (million)
% 9.41/2.31  % (1387773)Instruction limit reached! 
% 9.41/2.31  % (1387773)------------------------------
% 9.41/2.31  % (1387773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387773)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387773)Termination reason: Instruction limit
% 9.41/2.31  % (1387773)Termination phase: Saturation
% 9.41/2.31  % (1387773)Time elapsed: 0.118 s
% 9.41/2.31  % (1387773)Peak memory usage: 132 MB
% 9.41/2.31  % (1387773)Instructions burned: 131 (million)
% 9.41/2.31  % (1387777)First to succeed.
% 9.41/2.31  % (1387777)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1387702"
% 9.41/2.31  % (1387782)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=469749514:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 9.41/2.31  % (1387783)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=3131762410:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2989 on theBenchmark for (2989ds/259Mi)
% 9.41/2.31  % (1387779)Also succeeded, but the first one will report.
% 9.41/2.31  % (1387786)dis+10_1_si=on:random_seed=446983515:s2a=on:i=1000:rtra=on:gtg=exists_all_2989 on theBenchmark for (2989ds/1000Mi)
% 9.41/2.31  % (1387788)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2857606515:i=383:fsr=off:rtra=on:ev=force_2989 on theBenchmark for (2989ds/383Mi)
% 9.41/2.31  % (1387782)Instruction limit reached! 
% 9.41/2.31  % (1387782)------------------------------
% 9.41/2.31  % (1387782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387782)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387782)Termination reason: Instruction limit
% 9.41/2.31  % (1387782)Termination phase: Saturation
% 9.41/2.31  % (1387782)Time elapsed: 0.094 s
% 9.41/2.31  % (1387782)Peak memory usage: 115 MB
% 9.41/2.31  % (1387782)Instructions burned: 132 (million)
% 9.41/2.31  % (1387789)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=3541897429:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 9.41/2.31  % (1387783)Instruction limit reached! 
% 9.41/2.31  % (1387783)------------------------------
% 9.41/2.31  % (1387783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387783)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387783)Termination reason: Instruction limit
% 9.41/2.31  % (1387783)Termination phase: Saturation
% 9.41/2.31  % (1387783)Time elapsed: 0.172 s
% 9.41/2.31  % (1387783)Peak memory usage: 118 MB
% 9.41/2.31  % (1387783)Instructions burned: 260 (million)
% 9.41/2.31  % (1387789)Instruction limit reached! 
% 9.41/2.31  % (1387789)------------------------------
% 9.41/2.31  % (1387789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.31  % (1387789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.31  % (1387789)CaDiCaL version: 2.1.3
% 9.41/2.31  % (1387789)Termination reason: Instruction limit
% 9.41/2.31  % (1387789)Termination phase: Saturation
% 9.41/2.31  % (1387789)Time elapsed: 0.080 s
% 9.41/2.31  % (1387789)Peak memory usage: 93 MB
% 9.41/2.31  % (1387789)Instructions burned: 141 (million)
% 9.41/2.31  % (1387777)Refutation found. Thanks to Tanya!
% 9.41/2.31  % SZS status Theorem for theBenchmark
% 9.41/2.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.51  % (1387777)------------------------------
% 0.16/2.51  % (1387777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.51  % (1387777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.51  % (1387777)CaDiCaL version: 2.1.3
% 0.16/2.51  % (1387777)Termination reason: Refutation
% 0.16/2.51  % (1387777)Time elapsed: 0.111 s
% 0.16/2.51  % (1387777)Peak memory usage: 94 MB
% 0.16/2.51  % (1387777)Instructions burned: 178 (million)
% 0.16/2.51  % (1387777)------------------------------
% 0.16/2.51  % (1387777)------------------------------
% 0.16/2.51  % (1387702)Success in time 1.441 s
% 0.16/2.51  % Vampire exiting
%------------------------------------------------------------------------------