TSTP Solution File: ITP297_1 by Vampire-SAT---4.8

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:09:08 EDT 2024

% Result   : Theorem 12.45s 2.22s
% Output   : Refutation 12.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      : 1216
% Syntax   : Number of formulae    : 1292 (  50 unt;1190 typ;   0 def)
%            Number of atoms       :  379 ( 152 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  413 ( 136   ~; 122   |; 132   &)
%                                         (   8 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of FOOLs       :    3 (   3 fml;   0 var)
%            Number of types       :  186 ( 184 usr;   1 ari)
%            Number of type conns  : 1863 ( 945   >; 918   *;   0   +;   0  <<)
%            Number of predicates  :  151 ( 149 usr;   1 prp; 0-4 aty)
%            Number of functors    :  857 ( 857 usr;  61 con; 0-7 aty)
%            Number of variables   :  457 ( 329   !; 128   ?; 457   :)

% 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,
    sK86: 'M$' ).

tff(func_def_380,type,
    sK87: 'M$' ).

tff(func_def_381,type,
    sK88: 'O_m_IType$' ).

tff(func_def_382,type,
    sK89: 'T$' ).

tff(func_def_383,type,
    sK90: 'T$' > 'O_m_IType$' ).

tff(func_def_384,type,
    sK91: 'T$' > 'O_m_IType$' ).

tff(func_def_385,type,
    sK92: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_386,type,
    sK93: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_387,type,
    sK94: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_388,type,
    sK95: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_389,type,
    sK96: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_390,type,
    sK97: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_391,type,
    sK98: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_392,type,
    sK99: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_393,type,
    sK100: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_394,type,
    sK101: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_395,type,
    sK102: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_396,type,
    sK103: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_397,type,
    sK104: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_398,type,
    sK105: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_399,type,
    sK106: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_400,type,
    sK107: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_401,type,
    sK108: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_402,type,
    sK109: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_403,type,
    sK110: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_404,type,
    sK111: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_405,type,
    sK112: 'T_f_Expression$' > 'F$' ).

tff(func_def_406,type,
    sK113: 'T_f_Expression$' > 'T_f_Expression$' ).

tff(func_def_407,type,
    sK114: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_408,type,
    sK115: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_409,type,
    sK116: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_410,type,
    sK117: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_411,type,
    sK118: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_412,type,
    sK119: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_413,type,
    sK120: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_414,type,
    sK121: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_415,type,
    sK122: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_416,type,
    sK123: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_417,type,
    sK124: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_418,type,
    sK125: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_419,type,
    sK126: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_420,type,
    sK127: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_421,type,
    sK128: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_422,type,
    sK129: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_423,type,
    sK130: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_424,type,
    sK131: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_425,type,
    sK132: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_426,type,
    sK133: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_427,type,
    sK134: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_428,type,
    sK135: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_429,type,
    sK136: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_430,type,
    sK137: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_431,type,
    sK138: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_432,type,
    sK139: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_433,type,
    sK140: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_434,type,
    sK141: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_435,type,
    sK142: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_436,type,
    sK143: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_437,type,
    sK144: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_438,type,
    sK145: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_439,type,
    sK146: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_440,type,
    sK147: 'O_m_IType$' > tlbool ).

tff(func_def_441,type,
    sK148: 'O_m_IType$' > 'M$' ).

tff(func_def_442,type,
    sK149: 'O_m_IType$' > 'O$' ).

tff(func_def_443,type,
    sK150: 'T_f_Language$' > 'T$' ).

tff(func_def_444,type,
    sK151: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_445,type,
    sK152: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_446,type,
    sK153: 'T_f_Language$' > 'T$' ).

tff(func_def_447,type,
    sK154: 'T_f_Language$' > 'T$' ).

tff(func_def_448,type,
    sK155: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_449,type,
    sK156: 'T_f_Language$' > 'T$' ).

tff(func_def_450,type,
    sK157: 'T_f_Language$' > 'T$' ).

tff(func_def_451,type,
    sK158: 'T_f_o_m_unit_Interpretation_ext$' > 'T_f_unit_Signature_ext$' ).

tff(func_def_452,type,
    sK159: 'T_f_o_m_unit_Interpretation_ext$' > 'O_m_unit_Category_ext$' ).

tff(func_def_453,type,
    sK160: 'T_f_o_m_unit_Interpretation_ext$' > 'T_o_fun$' ).

tff(func_def_454,type,
    sK161: 'T_f_o_m_unit_Interpretation_ext$' > 'F_m_fun$' ).

tff(func_def_455,type,
    sK162: 'T_f_o_m_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_456,type,
    sK163: 'T_f_unit_Signature_ext$' > 'T_set$' ).

tff(func_def_457,type,
    sK164: 'T_f_unit_Signature_ext$' > 'F_set$' ).

tff(func_def_458,type,
    sK165: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_459,type,
    sK166: 'T_f_unit_Signature_ext$' > 'F_t_fun$' ).

tff(func_def_460,type,
    sK167: 'T_f_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_461,type,
    sK168: 'O_m_unit_Category_ext$' > 'O_set$' ).

tff(func_def_462,type,
    sK169: 'O_m_unit_Category_ext$' > 'M_set$' ).

tff(func_def_463,type,
    sK170: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_464,type,
    sK171: 'O_m_unit_Category_ext$' > 'M_o_fun$' ).

tff(func_def_465,type,
    sK172: 'O_m_unit_Category_ext$' > 'O_m_fun$' ).

tff(func_def_466,type,
    sK173: 'O_m_unit_Category_ext$' > 'M_m_m_fun_fun$' ).

tff(func_def_467,type,
    sK174: 'O_m_unit_Category_ext$' > 'Unit$' ).

tff(func_def_468,type,
    sK175: 'O_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_469,type,
    sK176: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_470,type,
    sK177: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_471,type,
    sK178: 'O_t_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_472,type,
    sK179: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_473,type,
    sK180: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_474,type,
    sK181: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_475,type,
    sK182: 'O_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_476,type,
    sK183: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_477,type,
    sK184: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_478,type,
    sK185: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_479,type,
    sK186: 'T_t_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_480,type,
    sK187: 'T_o_o_m_unit_Interpretation_ext$' > 'O$' ).

tff(func_def_481,type,
    sK188: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_482,type,
    sK189: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_483,type,
    sK190: 'T_o_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_484,type,
    sK191: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_485,type,
    sK192: 'T_m_unit_Signature_ext$' > 'M$' ).

tff(func_def_486,type,
    sK193: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_487,type,
    sK194: 'F_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_488,type,
    sK195: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_489,type,
    sK196: 'M_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_490,type,
    sK197: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_491,type,
    sK198: 'F_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_492,type,
    sK199: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_493,type,
    sK200: 'M_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_494,type,
    sK201: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_495,type,
    sK202: 'O_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_496,type,
    sK203: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_497,type,
    sK204: 'T_o_unit_Signature_ext$' > 'O$' ).

tff(func_def_498,type,
    sK205: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_499,type,
    sK206: 'O_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_500,type,
    sK207: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_501,type,
    sK208: 'T_t_unit_Signature_ext$' > 'T$' ).

tff(func_def_502,type,
    sK209: 'T_f_o_m_unit_Interpretation_ext$' > 'F$' ).

tff(func_def_503,type,
    sK210: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_504,type,
    sK211: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_505,type,
    sK212: 'T_f_o_m_unit_Interpretation_ext$' > 'T$' ).

tff(func_def_506,type,
    sK213: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_507,type,
    sK214: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_508,type,
    sK215: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_509,type,
    sK216: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_510,type,
    sK217: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_511,type,
    sK218: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_512,type,
    sK219: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_513,type,
    sK220: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_514,type,
    sK221: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_515,type,
    sK222: 'O_m_unit_Category_ext$' > 'O$' ).

tff(func_def_516,type,
    sK223: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_517,type,
    sK224: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_518,type,
    sK225: 'O_m_unit_Category_ext$' > 'M$' ).

tff(func_def_519,type,
    sK226: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_520,type,
    sK227: 'T_f_unit_Signature_ext$' > 'F$' ).

tff(func_def_521,type,
    sK228: 'T_f_Language$' > 'T$' ).

tff(func_def_522,type,
    sK229: 'T_f_Language$' > 'T$' ).

tff(func_def_523,type,
    sK230: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_524,type,
    sK231: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_525,type,
    sK232: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_526,type,
    sK233: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_527,type,
    sK234: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_528,type,
    sK235: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_529,type,
    sK236: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_530,type,
    sK237: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_531,type,
    sK238: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_532,type,
    sK239: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_533,type,
    sK240: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_534,type,
    sK241: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_535,type,
    sK242: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_536,type,
    sK243: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_537,type,
    sK244: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_538,type,
    sK245: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_539,type,
    sK246: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_540,type,
    sK247: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_541,type,
    sK248: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_542,type,
    sK249: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_543,type,
    sK250: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_544,type,
    sK251: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_545,type,
    sK252: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_546,type,
    sK253: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_547,type,
    sK254: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_548,type,
    sK255: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_549,type,
    sK256: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_550,type,
    sK257: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_551,type,
    sK258: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_552,type,
    sK259: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_553,type,
    sK260: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_554,type,
    sK261: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_555,type,
    sK262: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_556,type,
    sK263: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_557,type,
    sK264: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_558,type,
    sK265: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_559,type,
    sK266: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_560,type,
    sK267: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_561,type,
    sK268: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_562,type,
    sK269: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_563,type,
    sK270: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_564,type,
    sK271: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_565,type,
    sK272: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_566,type,
    sK273: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_567,type,
    sK274: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_568,type,
    sK275: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_569,type,
    sK276: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_570,type,
    sK277: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_571,type,
    sK278: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_572,type,
    sK279: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_573,type,
    sK280: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_574,type,
    sK281: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_575,type,
    sK282: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_576,type,
    sK283: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_577,type,
    sK284: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_578,type,
    sK285: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_579,type,
    sK286: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_580,type,
    sK287: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_581,type,
    sK288: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_582,type,
    sK289: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_583,type,
    sK290: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_584,type,
    sK291: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_585,type,
    sK292: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_586,type,
    sK293: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_587,type,
    sK294: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_588,type,
    sK295: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_589,type,
    sK296: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_590,type,
    sK297: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_591,type,
    sK298: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_592,type,
    sK299: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_593,type,
    sK300: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_594,type,
    sK301: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_595,type,
    sK302: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_596,type,
    sK303: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_597,type,
    sK304: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_598,type,
    sK305: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_599,type,
    sK306: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_600,type,
    sK307: ( 'M_m_prod_bool_fun$' * 'M_m_prod_bool_fun$' ) > 'M_m_prod$' ).

tff(func_def_601,type,
    sK308: ( 'T_bool_fun$' * 'T_bool_fun$' ) > 'T$' ).

tff(func_def_602,type,
    sK309: ( 'O_bool_fun$' * 'O_bool_fun$' ) > 'O$' ).

tff(func_def_603,type,
    sK310: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_604,type,
    sK311: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > 'O$' ).

tff(func_def_605,type,
    sK312: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_606,type,
    sK313: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_607,type,
    sK314: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_608,type,
    sK315: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_609,type,
    sK316: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_610,type,
    sK317: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_611,type,
    sK318: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_612,type,
    sK319: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_unit_Signature_ext$' ).

tff(func_def_613,type,
    sK320: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_614,type,
    sK321: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O_o_Expression$' ).

tff(func_def_615,type,
    sK322: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_616,type,
    sK323: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_617,type,
    sK324: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_618,type,
    sK325: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_619,type,
    sK326: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > 'O$' ).

tff(func_def_620,type,
    sK327: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_621,type,
    sK328: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_622,type,
    sK329: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_623,type,
    sK330: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_624,type,
    sK331: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_625,type,
    sK332: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_626,type,
    sK333: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_627,type,
    sK334: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_unit_Signature_ext$' ).

tff(func_def_628,type,
    sK335: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_629,type,
    sK336: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O_t_Expression$' ).

tff(func_def_630,type,
    sK337: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_631,type,
    sK338: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_632,type,
    sK339: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_633,type,
    sK340: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_634,type,
    sK341: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > 'T$' ).

tff(func_def_635,type,
    sK342: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_636,type,
    sK343: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_637,type,
    sK344: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_638,type,
    sK345: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_639,type,
    sK346: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_640,type,
    sK347: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_641,type,
    sK348: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_642,type,
    sK349: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_unit_Signature_ext$' ).

tff(func_def_643,type,
    sK350: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_644,type,
    sK351: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T_o_Expression$' ).

tff(func_def_645,type,
    sK352: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_646,type,
    sK353: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'O$' ).

tff(func_def_647,type,
    sK354: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_648,type,
    sK355: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_649,type,
    sK356: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > 'T$' ).

tff(func_def_650,type,
    sK357: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_651,type,
    sK358: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_652,type,
    sK359: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_653,type,
    sK360: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_654,type,
    sK361: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_655,type,
    sK362: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_656,type,
    sK363: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_657,type,
    sK364: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_unit_Signature_ext$' ).

tff(func_def_658,type,
    sK365: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_659,type,
    sK366: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T_t_Expression$' ).

tff(func_def_660,type,
    sK367: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_661,type,
    sK368: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_662,type,
    sK369: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_663,type,
    sK370: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_664,type,
    sK371: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_665,type,
    sK372: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_666,type,
    sK373: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_667,type,
    sK374: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_668,type,
    sK375: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_669,type,
    sK376: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_670,type,
    sK377: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_671,type,
    sK378: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_672,type,
    sK379: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_unit_Signature_ext$' ).

tff(func_def_673,type,
    sK380: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_674,type,
    sK381: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T_f_Expression$' ).

tff(func_def_675,type,
    sK382: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_676,type,
    sK383: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'F$' ).

tff(func_def_677,type,
    sK384: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > 'T$' ).

tff(func_def_678,type,
    sK385: ( 'O_m_unit_Category_ext$' * 'M_m_prod$' ) > 'M$' ).

tff(func_def_679,type,
    sK386: ( 'O_m_unit_Category_ext$' * 'M_m_prod$' ) > 'M$' ).

tff(func_def_680,type,
    sK387: ( 'O_m_unit_Category_ext$' * 'M$' ) > 'M$' ).

tff(func_def_681,type,
    sK388: 'T_f_Language$' > 'T$' ).

tff(func_def_682,type,
    sK389: 'T_f_Language$' > 'T$' ).

tff(func_def_683,type,
    sK390: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_684,type,
    sK391: 'T_f_Language$' > 'T_f_Expression$' ).

tff(func_def_685,type,
    sK392: ( 'O_m_unit_Category_ext$' * 'M$' ) > 'M$' ).

tff(func_def_686,type,
    sK393: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_687,type,
    sK394: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_688,type,
    sK395: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_689,type,
    sK396: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_690,type,
    sK397: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_691,type,
    sK398: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_692,type,
    sK399: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_693,type,
    sK400: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_694,type,
    sK401: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_695,type,
    sK402: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_696,type,
    sK403: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_697,type,
    sK404: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_698,type,
    sK405: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_699,type,
    sK406: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'F$' ).

tff(func_def_700,type,
    sK407: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_701,type,
    sK408: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_702,type,
    sK409: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_703,type,
    sK410: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_704,type,
    sK411: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_705,type,
    sK412: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_706,type,
    sK413: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_707,type,
    sK414: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_708,type,
    sK415: 'F_f_bool_fun_fun$' > 'F$' ).

tff(func_def_709,type,
    sK416: 'T_t_bool_fun_fun$' > 'T$' ).

tff(func_def_710,type,
    sK417: 'M_m_bool_fun_fun$' > 'M$' ).

tff(func_def_711,type,
    sK418: 'O_o_bool_fun_fun$' > 'O$' ).

tff(func_def_712,type,
    sK419: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_713,type,
    sK420: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_714,type,
    sK421: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_715,type,
    sK422: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_716,type,
    sK423: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_717,type,
    sK424: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_718,type,
    sK425: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_719,type,
    sK426: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_720,type,
    sK427: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_721,type,
    sK428: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_722,type,
    sK429: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_723,type,
    sK430: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_724,type,
    sK431: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_o_m_unit_Interpretation_ext$' ).

tff(func_def_725,type,
    sK432: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_726,type,
    sK433: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T_f_Expression$' ).

tff(func_def_727,type,
    sK434: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_728,type,
    sK435: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'F$' ).

tff(func_def_729,type,
    sK436: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'T$' ).

tff(func_def_730,type,
    sK437: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > 'M$' ).

tff(func_def_731,type,
    sK438: ( 'O_m_unit_Category_ext$' * 'O$' * 'O$' ) > 'M$' ).

tff(func_def_732,type,
    sK439: ( 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_733,type,
    sK440: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_734,type,
    sK441: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'O$' ).

tff(func_def_735,type,
    sK442: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_736,type,
    sK443: ( 'O_m_IType$' * 'O_m_IType$' ) > tlbool ).

tff(func_def_737,type,
    sK444: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_738,type,
    sK445: ( 'M_m_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_739,type,
    sK446: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_740,type,
    sK447: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_741,type,
    sK448: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_742,type,
    sK449: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_743,type,
    sK450: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_744,type,
    sK451: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_745,type,
    sK452: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_746,type,
    sK453: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_747,type,
    sK454: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_748,type,
    sK455: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_749,type,
    sK456: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_750,type,
    sK457: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_751,type,
    sK458: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T_f_Expression$' ).

tff(func_def_752,type,
    sK459: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_753,type,
    sK460: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_754,type,
    sK461: ( 'T_t_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > 'T$' ).

tff(func_def_755,type,
    sK462: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_756,type,
    sK463: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_757,type,
    sK464: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'F$' ).

tff(func_def_758,type,
    sK465: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > 'T_f_Expression$' ).

tff(func_def_759,type,
    sK466: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_760,type,
    sK467: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_761,type,
    sK468: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_762,type,
    sK469: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_763,type,
    sK470: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_764,type,
    sK471: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_765,type,
    sK472: ( 'Unit$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' ) > 'Unit$' ).

tff(func_def_766,type,
    sK473: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_767,type,
    sK474: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_768,type,
    sK475: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_769,type,
    sK476: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_770,type,
    sK477: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_771,type,
    sK478: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_772,type,
    sK479: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_773,type,
    sK480: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_774,type,
    sK481: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_775,type,
    sK482: ( 'O_o_fun$' * 'O_o_fun_o_o_fun_fun$' * 'O_o_fun_o_o_fun_fun$' ) > 'O_o_fun$' ).

tff(func_def_776,type,
    sK483: ( 'O_t_fun$' * 'O_t_fun_o_t_fun_fun$' * 'O_t_fun_o_t_fun_fun$' ) > 'O_t_fun$' ).

tff(func_def_777,type,
    sK484: ( 'T_t_fun$' * 'T_t_fun_t_t_fun_fun$' * 'T_t_fun_t_t_fun_fun$' ) > 'T_t_fun$' ).

tff(func_def_778,type,
    sK485: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_779,type,
    sK486: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_780,type,
    sK487: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_781,type,
    sK488: ( 'F_t_fun$' * 'F_t_fun_f_t_fun_fun$' * 'F_t_fun_f_t_fun_fun$' ) > 'F_t_fun$' ).

tff(func_def_782,type,
    sK489: ( '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,
    sK490: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_784,type,
    sK491: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_785,type,
    sK492: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_786,type,
    sK493: ( 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_787,type,
    sK494: ( 'F_m_fun$' * 'F_m_fun_f_m_fun_fun$' * 'F_m_fun_f_m_fun_fun$' ) > 'F_m_fun$' ).

tff(func_def_788,type,
    sK495: ( 'F_set$' * 'F_set_f_set_fun$' * 'F_set_f_set_fun$' ) > 'F_set$' ).

tff(func_def_789,type,
    sK496: ( 'F_set$' * 'F_set_f_set_fun$' * 'F_set_f_set_fun$' ) > 'F_set$' ).

tff(func_def_790,type,
    sK497: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_791,type,
    sK498: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_792,type,
    sK499: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_793,type,
    sK500: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_794,type,
    sK501: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_795,type,
    sK502: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_796,type,
    sK503: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_797,type,
    sK504: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_798,type,
    sK505: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_799,type,
    sK506: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_800,type,
    sK507: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_801,type,
    sK508: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_802,type,
    sK509: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_803,type,
    sK510: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_804,type,
    sK511: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_805,type,
    sK512: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_806,type,
    sK513: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_807,type,
    sK514: ( 'T_set$' * 'T_set_t_set_fun$' * 'T_set_t_set_fun$' ) > 'T_set$' ).

tff(func_def_808,type,
    sK515: ( 'O_m_unit_Category_ext$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_809,type,
    sK516: ( 'O_m_unit_Category_ext$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' * 'O_m_unit_Category_ext_o_m_unit_Category_ext_fun$' ) > 'O_m_unit_Category_ext$' ).

tff(func_def_810,type,
    sK517: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_811,type,
    sK518: ( 'T_o_fun$' * 'T_o_fun_t_o_fun_fun$' * 'T_o_fun_t_o_fun_fun$' ) > 'T_o_fun$' ).

tff(func_def_812,type,
    sK519: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_813,type,
    sK520: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_814,type,
    sK521: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_815,type,
    sK522: ( 'M_o_fun$' * 'M_o_fun_m_o_fun_fun$' * 'M_o_fun_m_o_fun_fun$' ) > 'M_o_fun$' ).

tff(func_def_816,type,
    sK523: ( '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_817,type,
    sK524: ( '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_818,type,
    sK525: ( 'M_set$' * 'M_set_m_set_fun$' * 'M_set_m_set_fun$' ) > 'M_set$' ).

tff(func_def_819,type,
    sK526: ( 'M_set$' * 'M_set_m_set_fun$' * 'M_set_m_set_fun$' ) > 'M_set$' ).

tff(func_def_820,type,
    sK527: ( 'O_m_fun$' * 'O_m_fun_o_m_fun_fun$' * 'O_m_fun_o_m_fun_fun$' ) > 'O_m_fun$' ).

tff(func_def_821,type,
    sK528: ( 'O_m_fun$' * 'O_m_fun_o_m_fun_fun$' * 'O_m_fun_o_m_fun_fun$' ) > 'O_m_fun$' ).

tff(func_def_822,type,
    sK529: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_823,type,
    sK530: ( 'O_set$' * 'O_set_o_set_fun$' * 'O_set_o_set_fun$' ) > 'O_set$' ).

tff(func_def_824,type,
    sK531: ( '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_825,type,
    sK532: ( '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_826,type,
    sK533: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_827,type,
    sK534: 'O_m_IType_o_m_IType_bool_fun_fun$' > tlbool ).

tff(func_def_828,type,
    sK535: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_829,type,
    sK536: ( 'M_m_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'M$' ).

tff(func_def_830,type,
    sK537: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_831,type,
    sK538: ( 'O_o_bool_fun_fun$' * 'O_m_IType_o_m_IType_bool_fun_fun$' ) > 'O$' ).

tff(func_def_832,type,
    sK539: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_833,type,
    sK540: ( '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_834,type,
    sK541: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_835,type,
    sK542: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_836,type,
    sK543: ( '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_837,type,
    sK544: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_838,type,
    sK545: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_839,type,
    sK546: ( '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_840,type,
    sK547: ( '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_841,type,
    sK548: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_842,type,
    sK549: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_843,type,
    sK550: ( '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_844,type,
    sK551: ( '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_845,type,
    sK552: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > 'T$' ).

tff(func_def_846,type,
    sK553: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_847,type,
    sK554: ( 'T_t_bool_fun_fun$' * 'T_f_Language_t_f_Language_bool_fun_fun$' ) > 'T$' ).

tff(func_def_848,type,
    sK555: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_849,type,
    sK556: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_850,type,
    sK557: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'F$' ).

tff(func_def_851,type,
    sK558: ( 'F_f_bool_fun_fun$' * 'T_f_Expression_t_f_Expression_bool_fun_fun$' ) > 'T_f_Expression$' ).

tff(func_def_852,type,
    sK559: ( 'T_t_unit_Signature_ext$' * 'T$' * 'T$' * 'T_t_Expression$' * 'T$' ) > 'T$' ).

tff(func_def_853,type,
    sK560: ( 'T_o_unit_Signature_ext$' * 'T$' * 'O$' * 'T_o_Expression$' * 'T$' ) > 'T$' ).

tff(func_def_854,type,
    sK561: ( 'O_o_unit_Signature_ext$' * 'O$' * 'O$' * 'O_o_Expression$' * 'O$' ) > 'O$' ).

tff(func_def_855,type,
    sK562: ( 'O_t_unit_Signature_ext$' * 'O$' * 'T$' * 'O_t_Expression$' * 'O$' ) > 'O$' ).

tff(func_def_856,type,
    sK563: ( 'T_f_unit_Signature_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' ) > 'T$' ).

tff(func_def_857,type,
    sK564: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_858,type,
    sK565: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'T_f_Expression$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(func_def_859,type,
    sK566: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'T$' ).

tff(func_def_860,type,
    sK567: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T$' * 'F$' * 'T_f_Expression$' * 'T$' * 'O_m_IType$' ) > 'M$' ).

tff(pred_def_1,type,
    'member$b': ( 'O_m_fun$' * 'O_m_fun_set$' ) > $o ).

tff(pred_def_2,type,
    'interpretation$c': 'O_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_3,type,
    'member$a': ( 'M_m_prod_m_fun$' * 'M_m_prod_m_fun_set$' ) > $o ).

tff(pred_def_4,type,
    'signature$d': 'T_t_unit_Signature_ext$' > $o ).

tff(pred_def_5,type,
    'rel_fun$k': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_6,type,
    'interpretation$b': 'T_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_7,type,
    'rel_fun$s': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_f_Language_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_8,type,
    'signature$f': 'F_t_unit_Signature_ext$' > $o ).

tff(pred_def_9,type,
    'fun_app$a': ( 'M_m_prod_bool_fun$' * 'M_m_prod$' ) > $o ).

tff(pred_def_10,type,
    'wellDefined$': ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_11,type,
    'interpretation$': 'T_f_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_12,type,
    'fun_app$b': ( 'M_m_prod_m_fun_bool_fun$' * 'M_m_prod_m_fun$' ) > $o ).

tff(pred_def_13,type,
    'fun_app$k': ( 'T_f_Language_bool_fun$' * 'T_f_Language$' ) > $o ).

tff(pred_def_14,type,
    'fun_app$bv': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun$' ) > $o ).

tff(pred_def_15,type,
    'interpretation$d': 'T_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_16,type,
    'wellDefined$b': ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_17,type,
    'fun_app$bp': ( 'F_t_f_Expression_t_f_Expression_fun_fun_bool_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun$' ) > $o ).

tff(pred_def_18,type,
    'member$': ( 'M_m_prod$' * 'M_m_prod_set$' ) > $o ).

tff(pred_def_19,type,
    'member$g': ( 'F$' * 'F_set$' ) > $o ).

tff(pred_def_20,type,
    'fun_app$bh': ( 'O_o_m_IType_fun_bool_fun$' * 'O_o_m_IType_fun$' ) > $o ).

tff(pred_def_21,type,
    'fun_app$c': ( 'O_m_fun_bool_fun$' * 'O_m_fun$' ) > $o ).

tff(pred_def_22,type,
    'rel_fun$ap': ( 'M_o_m_IType_fun_m_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' * 'M_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_m_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_23,type,
    'wellDefined$a': ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_24,type,
    'member$e': ( 'O$' * 'O_set$' ) > $o ).

tff(pred_def_25,type,
    'fun_app$d': ( 'M_o_fun_bool_fun$' * 'M_o_fun$' ) > $o ).

tff(pred_def_26,type,
    'fun_app$f': ( 'O_bool_fun$' * 'O$' ) > $o ).

tff(pred_def_27,type,
    'rel_fun$af': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_t_IType_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_28,type,
    'signature$': 'T_f_unit_Signature_ext$' > $o ).

tff(pred_def_29,type,
    'fun_app$bl': ( 'M_o_m_IType_fun_bool_fun$' * 'M_o_m_IType_fun$' ) > $o ).

tff(pred_def_30,type,
    'signature$i': 'T_m_unit_Signature_ext$' > $o ).

tff(pred_def_31,type,
    'fun_app$bn': ( 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_bool_fun$' * 'T_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_32,type,
    'fun_app$bj': ( 'T_t_f_Language_fun_bool_fun$' * 'T_t_f_Language_fun$' ) > $o ).

tff(pred_def_33,type,
    'top$': tlbool > $o ).

tff(pred_def_34,type,
    'wellDefined$d': ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_35,type,
    'rel_fun$ba': ( 'O_o_m_IType_fun_o_o_m_IType_fun_bool_fun_fun$' * 'M_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_bool_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' * 'O_o_m_IType_fun_m_o_m_IType_fun_bool_o_m_IType_fun_o_m_IType_o_m_IType_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_36,type,
    'fun_app$g': ( 'M_bool_fun$' * 'M$' ) > $o ).

tff(pred_def_37,type,
    'rel_fun$be': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_t_f_Expression_t_f_Expression_fun_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_38,type,
    'fun_app$m': ( 'O_m_IType_bool_fun$' * 'O_m_IType$' ) > $o ).

tff(pred_def_39,type,
    'category$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_40,type,
    'rel_fun$bh': ( 'O_o_fun_o_o_fun_bool_fun_fun$' * 'M_m_fun_o_m_IType_o_m_IType_fun_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_bool_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' * 'O_o_fun_m_m_fun_o_m_IType_o_m_IType_fun_fun_fun$' ) > $o ).

tff(pred_def_41,type,
    'member$c': ( 'M_o_fun$' * 'M_o_fun_set$' ) > $o ).

tff(pred_def_42,type,
    'fun_app$h': ( 'F_bool_fun$' * 'F$' ) > $o ).

tff(pred_def_43,type,
    'signature$a': 'O_o_unit_Signature_ext$' > $o ).

tff(pred_def_44,type,
    'interpretation$a': 'O_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_45,type,
    'member$f': ( 'M$' * 'M_set$' ) > $o ).

tff(pred_def_46,type,
    'interp$': ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > $o ).

tff(pred_def_47,type,
    'signature$c': 'O_t_unit_Signature_ext$' > $o ).

tff(pred_def_48,type,
    'category_axioms$': 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_49,type,
    'signature$g': 'M_o_unit_Signature_ext$' > $o ).

tff(pred_def_50,type,
    'signature$b': 'T_o_unit_Signature_ext$' > $o ).

tff(pred_def_51,type,
    'rel_fun$aa': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Language_fun_bool_t_f_Language_fun_t_t_IType_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_52,type,
    'fun_app$e': ( 'T_bool_fun$' * 'T$' ) > $o ).

tff(pred_def_53,type,
    'signature$h': 'F_o_unit_Signature_ext$' > $o ).

tff(pred_def_54,type,
    'signature$e': 'M_t_unit_Signature_ext$' > $o ).

tff(pred_def_55,type,
    'wellDefined$c': ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_56,type,
    'fun_app$bf': ( 'Bool_o_m_IType_fun_bool_fun$' * 'Bool_o_m_IType_fun$' ) > $o ).

tff(pred_def_57,type,
    'rel_fun$ak': ( 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_bool_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_IType_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_58,type,
    'rel_fun$au': ( 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_bool_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' * 'F_t_f_Expression_t_f_Expression_fun_fun_f_t_f_Expression_t_f_Expression_fun_fun_bool_t_f_Expression_t_f_Expression_fun_fun_f_f_IType_t_f_Expression_t_f_Expression_fun_fun_fun_fun_fun$' ) > $o ).

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

tff(pred_def_60,type,
    'member$d': ( 'T$' * 'T_set$' ) > $o ).

tff(pred_def_61,type,
    'rel_fun$c': ( 'T_t_f_Language_fun_t_t_f_Language_fun_bool_fun_fun$' * 'T_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_bool_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' * 'T_t_f_Language_fun_t_t_f_Expression_t_t_f_Language_fun_fun_fun_t_t_f_Expression_t_f_Expression_t_t_f_Language_fun_fun_fun_fun_t_f_Language_t_f_Language_fun_fun_fun_fun$' ) > $o ).

tff(pred_def_62,type,
    'fun_app$o': ( 'Bool_bool_fun$' * tlbool ) > $o ).

tff(pred_def_63,type,
    'fun_app$i': ( 'T_f_Expression_bool_fun$' * 'T_f_Expression$' ) > $o ).

tff(pred_def_66,type,
    sP0: '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: 'O_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_72,type,
    sP6: 'O_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_73,type,
    sP7: 'T_t_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_74,type,
    sP8: 'T_o_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_75,type,
    sP9: 'T_m_unit_Signature_ext$' > $o ).

tff(pred_def_76,type,
    sP10: 'F_o_unit_Signature_ext$' > $o ).

tff(pred_def_77,type,
    sP11: 'M_o_unit_Signature_ext$' > $o ).

tff(pred_def_78,type,
    sP12: 'F_t_unit_Signature_ext$' > $o ).

tff(pred_def_79,type,
    sP13: 'M_t_unit_Signature_ext$' > $o ).

tff(pred_def_80,type,
    sP14: 'O_o_unit_Signature_ext$' > $o ).

tff(pred_def_81,type,
    sP15: 'T_o_unit_Signature_ext$' > $o ).

tff(pred_def_82,type,
    sP16: 'O_t_unit_Signature_ext$' > $o ).

tff(pred_def_83,type,
    sP17: 'T_t_unit_Signature_ext$' > $o ).

tff(pred_def_84,type,
    sP18: 'T_f_o_m_unit_Interpretation_ext$' > $o ).

tff(pred_def_85,type,
    sP19: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_86,type,
    sP20: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_87,type,
    sP21: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_88,type,
    sP22: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_89,type,
    sP23: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_90,type,
    sP24: 'O_m_unit_Category_ext$' > $o ).

tff(pred_def_91,type,
    sP25: 'T_f_unit_Signature_ext$' > $o ).

tff(pred_def_92,type,
    sP26: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_93,type,
    sP27: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_94,type,
    sP28: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_95,type,
    sP29: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_96,type,
    sP30: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_97,type,
    sP31: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_98,type,
    sP32: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_99,type,
    sP33: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_100,type,
    sP34: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_101,type,
    sP35: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_102,type,
    sP36: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_103,type,
    sP37: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_104,type,
    sP38: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_105,type,
    sP39: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_106,type,
    sP40: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_107,type,
    sP41: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_108,type,
    sP42: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_109,type,
    sP43: ( 'O_o_Language$' * 'O_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_110,type,
    sP44: ( 'O_o_unit_Signature_ext$' * 'O_o_Language$' ) > $o ).

tff(pred_def_111,type,
    sP45: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_112,type,
    sP46: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_113,type,
    sP47: ( 'O_t_Language$' * 'O_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_114,type,
    sP48: ( 'O_t_unit_Signature_ext$' * 'O_t_Language$' ) > $o ).

tff(pred_def_115,type,
    sP49: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_116,type,
    sP50: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_117,type,
    sP51: ( 'T_o_Language$' * 'T_o_unit_Signature_ext$' ) > $o ).

tff(pred_def_118,type,
    sP52: ( 'T_o_unit_Signature_ext$' * 'T_o_Language$' ) > $o ).

tff(pred_def_119,type,
    sP53: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_120,type,
    sP54: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_121,type,
    sP55: ( 'T_t_Language$' * 'T_t_unit_Signature_ext$' ) > $o ).

tff(pred_def_122,type,
    sP56: ( 'T_t_unit_Signature_ext$' * 'T_t_Language$' ) > $o ).

tff(pred_def_123,type,
    sP57: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_124,type,
    sP58: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_125,type,
    sP59: ( 'T_f_Language$' * 'T_f_unit_Signature_ext$' ) > $o ).

tff(pred_def_126,type,
    sP60: ( 'T_f_unit_Signature_ext$' * 'T_f_Language$' ) > $o ).

tff(pred_def_127,type,
    sP61: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_128,type,
    sP62: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_129,type,
    sP63: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_130,type,
    sP64: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_131,type,
    sP65: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_132,type,
    sP66: ( 'O_m_IType$' * 'T_f_Language$' * 'T_f_o_m_unit_Interpretation_ext$' ) > $o ).

tff(pred_def_133,type,
    sP67: ( 'T_f_o_m_unit_Interpretation_ext$' * 'T_f_Language$' * 'O_m_IType$' ) > $o ).

tff(pred_def_134,type,
    sP68: ( 'F_o_unit_Signature_ext$' * 'F$' * 'O$' * 'F$' ) > $o ).

tff(pred_def_135,type,
    sP69: ( 'F_t_unit_Signature_ext$' * 'F$' * 'T$' * 'F$' ) > $o ).

tff(pred_def_136,type,
    sP70: ( 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_137,type,
    sP71: ( 'O_o_bool_fun_fun$' * 'O_m_IType$' * 'O_m_IType$' ) > $o ).

tff(pred_def_138,type,
    sP72: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > $o ).

tff(pred_def_139,type,
    sP73: ( 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' * 'T_f_Language$' * 'T_f_Language$' ) > $o ).

tff(pred_def_140,type,
    sP74: ( 'F_f_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'T_f_Expression$' * 'T_f_Expression$' ) > $o ).

tff(pred_def_141,type,
    sP75: ( 'M_o_unit_Signature_ext$' * 'M$' * 'O$' * 'M$' ) > $o ).

tff(pred_def_142,type,
    sP76: ( 'M_t_unit_Signature_ext$' * 'M$' * 'T$' * 'M$' ) > $o ).

tff(pred_def_143,type,
    sP77: ( 'T_m_unit_Signature_ext$' * 'T$' * 'M$' * 'T$' ) > $o ).

tff(pred_def_144,type,
    sP78: ( 'T_o_unit_Signature_ext$' * 'T$' * 'O$' * 'T$' ) > $o ).

tff(pred_def_145,type,
    sP79: ( 'T_t_unit_Signature_ext$' * 'T$' * 'T$' * 'T$' ) > $o ).

tff(pred_def_146,type,
    sP80: ( 'T_f_unit_Signature_ext$' * 'T$' * 'F$' * 'T$' ) > $o ).

tff(pred_def_147,type,
    sP81: ( 'O_o_unit_Signature_ext$' * 'O$' * 'O$' * 'O$' ) > $o ).

tff(pred_def_148,type,
    sP82: ( 'O_t_unit_Signature_ext$' * 'O$' * 'T$' * 'O$' ) > $o ).

tff(pred_def_149,type,
    sP83: 'O_m_IType_o_m_IType_bool_fun_fun$' > $o ).

tff(pred_def_150,type,
    sP84: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(pred_def_151,type,
    sP85: ( 'T_f_Language_t_f_Language_bool_fun_fun$' * 'T_t_bool_fun_fun$' * 'F_f_bool_fun_fun$' ) > $o ).

tff(f29452,plain,
    $false,
    inference(subsumption_resolution,[],[f29450,f10276]) ).

tff(f10276,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),sK89),'b$'),
    inference(backward_demodulation,[],[f2185,f10239]) ).

tff(f10239,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] : ( 'iSignature$'(X0) = sK158(X0) ),
    inference(superposition,[],[f3229,f2311]) ).

tff(f2311,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] : ( 'interpretation_ext$'(sK158(X0),sK159(X0),sK160(X0),sK161(X0),sK162(X0)) = X0 ),
    inference(cnf_transformation,[],[f1475]) ).

tff(f1475,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] : ( 'interpretation_ext$'(sK158(X0),sK159(X0),sK160(X0),sK161(X0),sK162(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK158,sK159,sK160,sK161,sK162])],[f794,f1474]) ).

tff(f1474,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ? [X1: 'T_f_unit_Signature_ext$',X2: 'O_m_unit_Category_ext$',X3: 'T_o_fun$',X4: 'F_m_fun$',X5: 'Unit$'] : ( 'interpretation_ext$'(X1,X2,X3,X4,X5) = X0 )
     => ( 'interpretation_ext$'(sK158(X0),sK159(X0),sK160(X0),sK161(X0),sK162(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f794,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] :
    ? [X1: 'T_f_unit_Signature_ext$',X2: 'O_m_unit_Category_ext$',X3: 'T_o_fun$',X4: 'F_m_fun$',X5: 'Unit$'] : ( 'interpretation_ext$'(X1,X2,X3,X4,X5) = X0 ),
    inference(ennf_transformation,[],[f612]) ).

tff(f612,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ~ ! [X1: 'T_f_unit_Signature_ext$',X2: 'O_m_unit_Category_ext$',X3: 'T_o_fun$',X4: 'F_m_fun$',X5: 'Unit$'] : ( 'interpretation_ext$'(X1,X2,X3,X4,X5) != X0 ),
    inference(flattening,[],[f611]) ).

tff(f611,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ~ ! [X1: 'T_f_unit_Signature_ext$',X2: 'O_m_unit_Category_ext$',X3: 'T_o_fun$',X4: 'F_m_fun$',X5: 'Unit$'] :
          ( ~ 'interpretation_ext$'(X1,X2,X3,X4,X5) = X0 ),
    inference(true_and_false_elimination,[],[f161]) ).

tff(f161,axiom,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ! [X1: 'T_f_unit_Signature_ext$',X2: 'O_m_unit_Category_ext$',X3: 'T_o_fun$',X4: 'F_m_fun$',X5: 'Unit$'] :
          ( ( 'interpretation_ext$'(X1,X2,X3,X4,X5) = X0 )
         => $false )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom159) ).

tff(f3229,plain,
    ! [X2: 'T_o_fun$',X3: 'F_m_fun$',X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X4: 'Unit$'] : ( 'iSignature$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X0 ),
    inference(cnf_transformation,[],[f169]) ).

tff(f169,axiom,
    ! [X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X2: 'T_o_fun$',X3: 'F_m_fun$',X4: 'Unit$'] : ( 'iSignature$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom167) ).

tff(f2185,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),sK89),'b$'),
    inference(cnf_transformation,[],[f1391]) ).

tff(f1391,plain,
    ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),sK89),'b$')
    & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),sK89)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK89])],[f738,f1390]) ).

tff(f1390,plain,
    ( ? [X0: 'T$'] :
        ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$')
        & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0)) )
   => ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),sK89),'b$')
      & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),sK89)) ) ),
    introduced(choice_axiom,[]) ).

tff(f738,plain,
    ? [X0: 'T$'] :
      ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$')
      & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0)) ),
    inference(ennf_transformation,[],[f585]) ).

tff(f585,plain,
    ~ ! [X0: 'T$'] :
        ~ ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$')
          & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0)) ),
    inference(true_and_false_elimination,[],[f40]) ).

tff(f40,axiom,
    ( ! [X0: 'T$'] :
        ( ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),X0),'b$')
          & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0)) )
       => $false )
   => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom38) ).

tff(f29450,plain,
    ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),sK89),'b$'),
    inference(resolution,[],[f29446,f12201]) ).

tff(f12201,plain,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),sK89),'i$a'),
    inference(backward_demodulation,[],[f2176,f12200]) ).

tff(f12200,plain,
    'b$a' = sK89,
    inference(backward_demodulation,[],[f12198,f12199]) ).

tff(f12199,plain,
    sK89 = 'fun_app$ba'(sK165(sK158('i$')),'f$'),
    inference(resolution,[],[f10596,f10276]) ).

tff(f10596,plain,
    ! [X2: 'T$',X3: 'T$',X0: 'F$',X1: 'T_f_unit_Signature_ext$'] :
      ( ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3)
      | ( 'fun_app$ba'(sK165(X1),X0) = X2 ) ),
    inference(backward_demodulation,[],[f3166,f10517]) ).

tff(f10517,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] : ( 'sigDom$d'(X0) = sK165(X0) ),
    inference(superposition,[],[f3214,f2312]) ).

tff(f2312,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] : ( 'signature_ext$'(sK163(X0),sK164(X0),sK165(X0),sK166(X0),sK167(X0)) = X0 ),
    inference(cnf_transformation,[],[f1477]) ).

tff(f1477,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] : ( 'signature_ext$'(sK163(X0),sK164(X0),sK165(X0),sK166(X0),sK167(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK163,sK164,sK165,sK166,sK167])],[f795,f1476]) ).

tff(f1476,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] :
      ( ? [X1: 'T_set$',X2: 'F_set$',X3: 'F_t_fun$',X4: 'F_t_fun$',X5: 'Unit$'] : ( 'signature_ext$'(X1,X2,X3,X4,X5) = X0 )
     => ( 'signature_ext$'(sK163(X0),sK164(X0),sK165(X0),sK166(X0),sK167(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f795,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] :
    ? [X1: 'T_set$',X2: 'F_set$',X3: 'F_t_fun$',X4: 'F_t_fun$',X5: 'Unit$'] : ( 'signature_ext$'(X1,X2,X3,X4,X5) = X0 ),
    inference(ennf_transformation,[],[f614]) ).

tff(f614,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] :
      ~ ! [X1: 'T_set$',X2: 'F_set$',X3: 'F_t_fun$',X4: 'F_t_fun$',X5: 'Unit$'] : ( 'signature_ext$'(X1,X2,X3,X4,X5) != X0 ),
    inference(flattening,[],[f613]) ).

tff(f613,plain,
    ! [X0: 'T_f_unit_Signature_ext$'] :
      ~ ! [X1: 'T_set$',X2: 'F_set$',X3: 'F_t_fun$',X4: 'F_t_fun$',X5: 'Unit$'] :
          ( ~ 'signature_ext$'(X1,X2,X3,X4,X5) = X0 ),
    inference(true_and_false_elimination,[],[f346]) ).

tff(f346,axiom,
    ! [X0: 'T_f_unit_Signature_ext$'] :
      ( ! [X1: 'T_set$',X2: 'F_set$',X3: 'F_t_fun$',X4: 'F_t_fun$',X5: 'Unit$'] :
          ( ( 'signature_ext$'(X1,X2,X3,X4,X5) = X0 )
         => $false )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom344) ).

tff(f3214,plain,
    ! [X2: 'F_t_fun$',X3: 'F_t_fun$',X0: 'T_set$',X1: 'F_set$',X4: 'Unit$'] : ( 'sigDom$d'('signature_ext$'(X0,X1,X2,X3,X4)) = X2 ),
    inference(cnf_transformation,[],[f433]) ).

tff(f433,axiom,
    ! [X0: 'T_set$',X1: 'F_set$',X2: 'F_t_fun$',X3: 'F_t_fun$',X4: 'Unit$'] : ( 'sigDom$d'('signature_ext$'(X0,X1,X2,X3,X4)) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom431) ).

tff(f3166,plain,
    ! [X2: 'T$',X3: 'T$',X0: 'F$',X1: 'T_f_unit_Signature_ext$'] :
      ( ( 'fun_app$ba'('sigDom$d'(X1),X0) = X2 )
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3) ),
    inference(cnf_transformation,[],[f1961]) ).

tff(f1961,plain,
    ! [X0: 'F$',X1: 'T_f_unit_Signature_ext$',X2: 'T$',X3: 'T$'] :
      ( ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3)
        | ~ 'signature$'(X1)
        | ( 'fun_app$ba'('sigCod$d'(X1),X0) != X3 )
        | ( 'fun_app$ba'('sigDom$d'(X1),X0) != X2 )
        | ~ 'member$d'(X3,'baseTypes$'(X1))
        | ~ 'member$d'(X2,'baseTypes$'(X1))
        | ~ 'member$g'(X0,'baseFunctions$'(X1)) )
      & ( ( 'signature$'(X1)
          & ( 'fun_app$ba'('sigCod$d'(X1),X0) = X3 )
          & ( 'fun_app$ba'('sigDom$d'(X1),X0) = X2 )
          & 'member$d'(X3,'baseTypes$'(X1))
          & 'member$d'(X2,'baseTypes$'(X1))
          & 'member$g'(X0,'baseFunctions$'(X1)) )
        | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3) ) ),
    inference(flattening,[],[f1960]) ).

tff(f1960,plain,
    ! [X0: 'F$',X1: 'T_f_unit_Signature_ext$',X2: 'T$',X3: 'T$'] :
      ( ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3)
        | ~ 'signature$'(X1)
        | ( 'fun_app$ba'('sigCod$d'(X1),X0) != X3 )
        | ( 'fun_app$ba'('sigDom$d'(X1),X0) != X2 )
        | ~ 'member$d'(X3,'baseTypes$'(X1))
        | ~ 'member$d'(X2,'baseTypes$'(X1))
        | ~ 'member$g'(X0,'baseFunctions$'(X1)) )
      & ( ( 'signature$'(X1)
          & ( 'fun_app$ba'('sigCod$d'(X1),X0) = X3 )
          & ( 'fun_app$ba'('sigDom$d'(X1),X0) = X2 )
          & 'member$d'(X3,'baseTypes$'(X1))
          & 'member$d'(X2,'baseTypes$'(X1))
          & 'member$g'(X0,'baseFunctions$'(X1)) )
        | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3) ) ),
    inference(nnf_transformation,[],[f443]) ).

tff(f443,axiom,
    ! [X0: 'F$',X1: 'T_f_unit_Signature_ext$',X2: 'T$',X3: 'T$'] :
      ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X0,X1),X2),X3)
    <=> ( 'signature$'(X1)
        & ( 'fun_app$ba'('sigCod$d'(X1),X0) = X3 )
        & ( 'fun_app$ba'('sigDom$d'(X1),X0) = X2 )
        & 'member$d'(X3,'baseTypes$'(X1))
        & 'member$d'(X2,'baseTypes$'(X1))
        & 'member$g'(X0,'baseFunctions$'(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom441) ).

tff(f12198,plain,
    'b$a' = 'fun_app$ba'(sK165(sK158('i$')),'f$'),
    inference(resolution,[],[f10596,f10274]) ).

tff(f10274,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),'b$a'),'b$'),
    inference(backward_demodulation,[],[f2179,f10239]) ).

tff(f2179,plain,
    'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$'),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,axiom,
    ( 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$','iSignature$'('i$')),'b$a'),'b$')
    & 'wellDefined$'('iSignature$'('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).

tff(f2176,plain,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,axiom,
    'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),'b$a'),'i$a'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom28) ).

tff(f29446,plain,
    ! [X0: 'T$'] :
      ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0),'i$a')
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),X0),'b$') ),
    inference(superposition,[],[f29441,f2174]) ).

tff(f2174,plain,
    'i$a' = 'fun_app$ac'('iMor$','g$'),
    inference(cnf_transformation,[],[f56]) ).

tff(f56,axiom,
    'i$a' = 'fun_app$ac'('iMor$','g$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom54) ).

tff(f29441,plain,
    ! [X0: 'T$',X1: 'M$'] :
      ( ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0),'fun_app$ac'('iMor$',X1))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),X0),'b$') ),
    inference(subsumption_resolution,[],[f29434,f10280]) ).

tff(f10280,plain,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( 'wellDefined$'(sK158('i$'),X0)
      | ~ 'interp$'('i$',X0,X1) ),
    inference(backward_demodulation,[],[f2510,f10239]) ).

tff(f2510,plain,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( 'wellDefined$'('iSignature$'('i$'),X0)
      | ~ 'interp$'('i$',X0,X1) ),
    inference(cnf_transformation,[],[f822]) ).

tff(f822,plain,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( 'wellDefined$'('iSignature$'('i$'),X0)
      | ~ 'interp$'('i$',X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

tff(f37,axiom,
    ! [X0: 'T_f_Language$',X1: 'O_m_IType$'] :
      ( 'interp$'('i$',X0,X1)
     => 'wellDefined$'('iSignature$'('i$'),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).

tff(f29434,plain,
    ! [X0: 'T$',X1: 'M$'] :
      ( ~ 'wellDefined$'(sK158('i$'),'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'('f$',sK158('i$')),X0),'b$')
      | ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'ea$'),X0),'fun_app$ac'('iMor$',X1)) ),
    inference(resolution,[],[f16801,f4115]) ).

tff(f4115,plain,
    ! [X0: 'O_m_IType$'] : ~ sP64(X0,'fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),'i$'),
    inference(resolution,[],[f4111,f2914]) ).

tff(f2914,plain,
    ! [X2: 'O_m_IType$',X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$'] :
      ( sP67(X0,X1,X2)
      | ~ sP64(X2,X1,X0) ),
    inference(cnf_transformation,[],[f1866]) ).

tff(f1866,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ( sP67(X0,X1,X2)
        | ( ~ sP65(X2,X1,X0)
          & ~ sP64(X2,X1,X0)
          & ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'O$'] :
              ( ~ 'interp$'(X3,'fun_app$x'('type$',X4),'fun_app$aj'('iObj$',X5))
              | ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X3)),X5)) != X2 )
              | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'exprVar$'),X4) != X1 )
              | ( X0 != X3 ) )
          & ~ sP66(X2,X1,X0) ) )
      & ( sP65(X2,X1,X0)
        | sP64(X2,X1,X0)
        | ( 'interp$'(sK419(X0,X1,X2),'fun_app$x'('type$',sK420(X0,X1,X2)),'fun_app$aj'('iObj$',sK421(X0,X1,X2)))
          & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(sK419(X0,X1,X2))),sK421(X0,X1,X2))) = X2 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK420(X0,X1,X2)),'exprVar$'),sK420(X0,X1,X2)) = X1 )
          & ( sK419(X0,X1,X2) = X0 ) )
        | sP66(X2,X1,X0)
        | ~ sP67(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK419,sK420,sK421])],[f1864,f1865]) ).

tff(f1865,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ? [X6: 'T_f_o_m_unit_Interpretation_ext$',X7: 'T$',X8: 'O$'] :
          ( 'interp$'(X6,'fun_app$x'('type$',X7),'fun_app$aj'('iObj$',X8))
          & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X6)),X8)) = X2 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X7),'exprVar$'),X7) = X1 )
          & ( X0 = X6 ) )
     => ( 'interp$'(sK419(X0,X1,X2),'fun_app$x'('type$',sK420(X0,X1,X2)),'fun_app$aj'('iObj$',sK421(X0,X1,X2)))
        & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(sK419(X0,X1,X2))),sK421(X0,X1,X2))) = X2 )
        & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK420(X0,X1,X2)),'exprVar$'),sK420(X0,X1,X2)) = X1 )
        & ( sK419(X0,X1,X2) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f1864,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ( sP67(X0,X1,X2)
        | ( ~ sP65(X2,X1,X0)
          & ~ sP64(X2,X1,X0)
          & ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'O$'] :
              ( ~ 'interp$'(X3,'fun_app$x'('type$',X4),'fun_app$aj'('iObj$',X5))
              | ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X3)),X5)) != X2 )
              | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'exprVar$'),X4) != X1 )
              | ( X0 != X3 ) )
          & ~ sP66(X2,X1,X0) ) )
      & ( sP65(X2,X1,X0)
        | sP64(X2,X1,X0)
        | ? [X6: 'T_f_o_m_unit_Interpretation_ext$',X7: 'T$',X8: 'O$'] :
            ( 'interp$'(X6,'fun_app$x'('type$',X7),'fun_app$aj'('iObj$',X8))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X6)),X8)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X7),'exprVar$'),X7) = X1 )
            & ( X0 = X6 ) )
        | sP66(X2,X1,X0)
        | ~ sP67(X0,X1,X2) ) ),
    inference(rectify,[],[f1863]) ).

tff(f1863,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ( sP67(X0,X1,X2)
        | ( ~ sP65(X2,X1,X0)
          & ~ sP64(X2,X1,X0)
          & ! [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
              ( ~ 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
              | ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) != X2 )
              | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) != X1 )
              | ( X0 != X17 ) )
          & ~ sP66(X2,X1,X0) ) )
      & ( sP65(X2,X1,X0)
        | sP64(X2,X1,X0)
        | ? [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
            ( 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) = X1 )
            & ( X0 = X17 ) )
        | sP66(X2,X1,X0)
        | ~ sP67(X0,X1,X2) ) ),
    inference(flattening,[],[f1862]) ).

tff(f1862,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ( sP67(X0,X1,X2)
        | ( ~ sP65(X2,X1,X0)
          & ~ sP64(X2,X1,X0)
          & ! [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
              ( ~ 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
              | ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) != X2 )
              | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) != X1 )
              | ( X0 != X17 ) )
          & ~ sP66(X2,X1,X0) ) )
      & ( sP65(X2,X1,X0)
        | sP64(X2,X1,X0)
        | ? [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
            ( 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) = X1 )
            & ( X0 = X17 ) )
        | sP66(X2,X1,X0)
        | ~ sP67(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f1349]) ).

tff(f1349,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( sP67(X0,X1,X2)
    <=> ( sP65(X2,X1,X0)
        | sP64(X2,X1,X0)
        | ? [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
            ( 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) = X1 )
            & ( X0 = X17 ) )
        | sP66(X2,X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).

tff(f4111,plain,
    ! [X0: 'O_m_IType$'] : ~ sP67('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(resolution,[],[f2935,f2166]) ).

tff(f2166,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,[],[f734]) ).

tff(f734,plain,
    ! [X0: 'O_m_IType$'] : ~ 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,negated_conjecture,
    ~ ? [X0: 'O_m_IType$'] : 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    inference(negated_conjecture,[],[f25]) ).

tff(f25,conjecture,
    ? [X0: 'O_m_IType$'] : 'interp$'('i$','fun_app$x'('fun_app$y'('fun_app$z'('term$','a$'),'fun_app$aa'('fun_app$ab'('exprApp$','f$'),'ea$')),'b$'),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture24) ).

tff(f2935,plain,
    ! [X2: 'O_m_IType$',X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$'] :
      ( 'interp$'(X0,X1,X2)
      | ~ sP67(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1879]) ).

tff(f1879,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( ( 'interp$'(X0,X1,X2)
        | ~ sP67(X0,X1,X2) )
      & ( sP67(X0,X1,X2)
        | ~ 'interp$'(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f1350]) ).

tff(f1350,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( 'interp$'(X0,X1,X2)
    <=> sP67(X0,X1,X2) ),
    inference(definition_folding,[],[f680,f1349,f1348,f1347,f1346]) ).

tff(f1346,plain,
    ! [X2: 'O_m_IType$',X1: 'T_f_Language$',X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( sP64(X2,X1,X0)
    <=> ? [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
          ( 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
          & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
          & 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
          & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) = X2 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) = X1 )
          & ( X0 = X10 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).

tff(f1347,plain,
    ! [X2: 'O_m_IType$',X1: 'T_f_Language$',X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( sP65(X2,X1,X0)
    <=> ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'M$',X8: 'T_f_Expression$',X9: 'M$'] :
          ( 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X8),X6),'fun_app$ac'('iMor$',X9))
          & 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X7))
          & ( 'fun_app$ak'('iBool$',def_4(X7,X9)) = X2 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$ah'('fun_app$ai'('equation$d',X4),X5),X8),X6) = X1 )
          & ( X0 = X3 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).

tff(f1348,plain,
    ! [X2: 'O_m_IType$',X1: 'T_f_Language$',X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( sP66(X2,X1,X0)
    <=> ? [X20: 'T_f_o_m_unit_Interpretation_ext$',X21: 'T$'] :
          ( 'wellDefined$'('iSignature$'(X20),'fun_app$x'('type$',X21))
          & ( 'fun_app$aj'('iObj$','fun_app$ad'('iTypes$'(X20),X21)) = X2 )
          & ( 'fun_app$x'('type$',X21) = X1 )
          & ( X0 = X20 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).

tff(f680,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( 'interp$'(X0,X1,X2)
    <=> ( ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'M$',X8: 'T_f_Expression$',X9: 'M$'] :
            ( 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X8),X6),'fun_app$ac'('iMor$',X9))
            & 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X7))
            & ( 'fun_app$ak'('iBool$',def_4(X7,X9)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$ah'('fun_app$ai'('equation$d',X4),X5),X8),X6) = X1 )
            & ( X0 = X3 ) )
        | ? [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
            ( 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
            & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
            & 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
            & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) = X1 )
            & ( X0 = X10 ) )
        | ? [X17: 'T_f_o_m_unit_Interpretation_ext$',X18: 'T$',X19: 'O$'] :
            ( 'interp$'(X17,'fun_app$x'('type$',X18),'fun_app$aj'('iObj$',X19))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X17)),X19)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X18),'exprVar$'),X18) = X1 )
            & ( X0 = X17 ) )
        | ? [X20: 'T_f_o_m_unit_Interpretation_ext$',X21: 'T$'] :
            ( 'wellDefined$'('iSignature$'(X20),'fun_app$x'('type$',X21))
            & ( 'fun_app$aj'('iObj$','fun_app$ad'('iTypes$'(X20),X21)) = X2 )
            & ( 'fun_app$x'('type$',X21) = X1 )
            & ( X0 = X20 ) ) ) ),
    inference(rectify,[],[f185]) ).

tff(f185,axiom,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X2: 'O_m_IType$'] :
      ( 'interp$'(X0,X1,X2)
    <=> ( ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'M$',X8: 'T_f_Expression$',X9: 'M$'] :
            ( 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X8),X6),'fun_app$ac'('iMor$',X9))
            & 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X7))
            & ( 'fun_app$ak'('iBool$',def_4(X7,X9)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$ah'('fun_app$ai'('equation$d',X4),X5),X8),X6) = X1 )
            & ( X0 = X3 ) )
        | ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'F$',X8: 'T$',X9: 'M$'] :
            ( 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
            & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
            & 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
            & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8) = X1 )
            & ( X0 = X3 ) )
        | ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'O$'] :
            ( 'interp$'(X3,'fun_app$x'('type$',X4),'fun_app$aj'('iObj$',X5))
            & ( 'fun_app$ac'('iMor$','fun_app$af'('id$'('iCategory$'(X3)),X5)) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'exprVar$'),X4) = X1 )
            & ( X0 = X3 ) )
        | ? [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$'] :
            ( 'wellDefined$'('iSignature$'(X3),'fun_app$x'('type$',X4))
            & ( 'fun_app$aj'('iObj$','fun_app$ad'('iTypes$'(X3),X4)) = X2 )
            & ( 'fun_app$x'('type$',X4) = X1 )
            & ( X0 = X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom183) ).

tff(f16801,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'(sK173(sK159(X3)),X9),'fun_app$ae'(sK161(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'wellDefined$'(sK158(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,sK158(X3)),X6),X8)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9)) ),
    inference(backward_demodulation,[],[f10384,f16236]) ).

tff(f16236,plain,
    ! [X0: 'O_m_unit_Category_ext$'] : ( 'comp$'(X0) = sK173(X0) ),
    inference(superposition,[],[f3458,f2313]) ).

tff(f2313,plain,
    ! [X0: 'O_m_unit_Category_ext$'] : ( 'category_ext$'(sK168(X0),sK169(X0),sK170(X0),sK171(X0),sK172(X0),sK173(X0),sK174(X0)) = X0 ),
    inference(cnf_transformation,[],[f1479]) ).

tff(f1479,plain,
    ! [X0: 'O_m_unit_Category_ext$'] : ( 'category_ext$'(sK168(X0),sK169(X0),sK170(X0),sK171(X0),sK172(X0),sK173(X0),sK174(X0)) = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK168,sK169,sK170,sK171,sK172,sK173,sK174])],[f796,f1478]) ).

tff(f1478,plain,
    ! [X0: 'O_m_unit_Category_ext$'] :
      ( ? [X1: 'O_set$',X2: 'M_set$',X3: 'M_o_fun$',X4: 'M_o_fun$',X5: 'O_m_fun$',X6: 'M_m_m_fun_fun$',X7: 'Unit$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,X7) = X0 )
     => ( 'category_ext$'(sK168(X0),sK169(X0),sK170(X0),sK171(X0),sK172(X0),sK173(X0),sK174(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f796,plain,
    ! [X0: 'O_m_unit_Category_ext$'] :
    ? [X1: 'O_set$',X2: 'M_set$',X3: 'M_o_fun$',X4: 'M_o_fun$',X5: 'O_m_fun$',X6: 'M_m_m_fun_fun$',X7: 'Unit$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,X7) = X0 ),
    inference(ennf_transformation,[],[f616]) ).

tff(f616,plain,
    ! [X0: 'O_m_unit_Category_ext$'] :
      ~ ! [X1: 'O_set$',X2: 'M_set$',X3: 'M_o_fun$',X4: 'M_o_fun$',X5: 'O_m_fun$',X6: 'M_m_m_fun_fun$',X7: 'Unit$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,X7) != X0 ),
    inference(flattening,[],[f615]) ).

tff(f615,plain,
    ! [X0: 'O_m_unit_Category_ext$'] :
      ~ ! [X1: 'O_set$',X2: 'M_set$',X3: 'M_o_fun$',X4: 'M_o_fun$',X5: 'O_m_fun$',X6: 'M_m_m_fun_fun$',X7: 'Unit$'] :
          ( ~ 'category_ext$'(X1,X2,X3,X4,X5,X6,X7) = X0 ),
    inference(true_and_false_elimination,[],[f237]) ).

tff(f237,axiom,
    ! [X0: 'O_m_unit_Category_ext$'] :
      ( ! [X1: 'O_set$',X2: 'M_set$',X3: 'M_o_fun$',X4: 'M_o_fun$',X5: 'O_m_fun$',X6: 'M_m_m_fun_fun$',X7: 'Unit$'] :
          ( ( 'category_ext$'(X1,X2,X3,X4,X5,X6,X7) = X0 )
         => $false )
     => $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom235) ).

tff(f3458,plain,
    ! [X2: 'M_o_fun$',X3: 'M_o_fun$',X0: 'O_set$',X1: 'M_set$',X6: 'Unit$',X4: 'O_m_fun$',X5: 'M_m_m_fun_fun$'] : ( 'comp$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X5 ),
    inference(cnf_transformation,[],[f241]) ).

tff(f241,axiom,
    ! [X0: 'O_set$',X1: 'M_set$',X2: 'M_o_fun$',X3: 'M_o_fun$',X4: 'O_m_fun$',X5: 'M_m_m_fun_fun$',X6: 'Unit$'] : ( 'comp$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom239) ).

tff(f10384,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'(sK159(X3)),X9),'fun_app$ae'(sK161(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'wellDefined$'(sK158(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,sK158(X3)),X6),X8)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9)) ),
    inference(backward_demodulation,[],[f10344,f10242]) ).

tff(f10242,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] : ( 'iFunctions$'(X0) = sK161(X0) ),
    inference(superposition,[],[f3220,f2311]) ).

tff(f3220,plain,
    ! [X2: 'T_o_fun$',X3: 'F_m_fun$',X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X4: 'Unit$'] : ( 'iFunctions$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X3 ),
    inference(cnf_transformation,[],[f174]) ).

tff(f174,axiom,
    ! [X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X2: 'T_o_fun$',X3: 'F_m_fun$',X4: 'Unit$'] : ( 'iFunctions$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom172) ).

tff(f10344,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'(sK159(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'wellDefined$'(sK158(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,sK158(X3)),X6),X8)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9)) ),
    inference(backward_demodulation,[],[f10299,f10241]) ).

tff(f10241,plain,
    ! [X0: 'T_f_o_m_unit_Interpretation_ext$'] : ( 'iCategory$'(X0) = sK159(X0) ),
    inference(superposition,[],[f3227,f2311]) ).

tff(f3227,plain,
    ! [X2: 'T_o_fun$',X3: 'F_m_fun$',X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X4: 'Unit$'] : ( 'iCategory$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X1 ),
    inference(cnf_transformation,[],[f171]) ).

tff(f171,axiom,
    ! [X0: 'T_f_unit_Signature_ext$',X1: 'O_m_unit_Category_ext$',X2: 'T_o_fun$',X3: 'F_m_fun$',X4: 'Unit$'] : ( 'iCategory$'('interpretation_ext$'(X0,X1,X2,X3,X4)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom169) ).

tff(f10299,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( ~ 'wellDefined$'(sK158(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,sK158(X3)),X6),X8)
      | sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9)) ),
    inference(forward_demodulation,[],[f10266,f10239]) ).

tff(f10266,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,sK158(X3)),X6),X8)
      | sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
      | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6)) ),
    inference(backward_demodulation,[],[f3583,f10239]) ).

tff(f3583,plain,
    ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X3)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
      | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6)) ),
    inference(equality_resolution,[],[f3582]) ).

tff(f3582,plain,
    ! [X2: 'T_f_o_m_unit_Interpretation_ext$',X3: 'T_f_o_m_unit_Interpretation_ext$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8),X2)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
      | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f3581]) ).

tff(f3581,plain,
    ! [X2: 'T_f_o_m_unit_Interpretation_ext$',X3: 'T_f_o_m_unit_Interpretation_ext$',X1: 'T_f_Language$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64('fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))),X1,X2)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
      | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8) != X1 )
      | ( X2 != X3 ) ),
    inference(equality_resolution,[],[f2933]) ).

tff(f2933,plain,
    ! [X2: 'T_f_o_m_unit_Interpretation_ext$',X3: 'T_f_o_m_unit_Interpretation_ext$',X0: 'O_m_IType$',X1: 'T_f_Language$',X8: 'T$',X6: 'T$',X9: 'M$',X7: 'F$',X4: 'T$',X5: 'T_f_Expression$'] :
      ( sP64(X0,X1,X2)
      | ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
      | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
      | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
      | ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))) != X0 )
      | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8) != X1 )
      | ( X2 != X3 ) ),
    inference(cnf_transformation,[],[f1878]) ).

tff(f1878,plain,
    ! [X0: 'O_m_IType$',X1: 'T_f_Language$',X2: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ( sP64(X0,X1,X2)
        | ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'F$',X8: 'T$',X9: 'M$'] :
            ( ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
            | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
            | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
            | ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))) != X0 )
            | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8) != X1 )
            | ( X2 != X3 ) ) )
      & ( ( 'interp$'(sK431(X0,X1,X2),'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),sK433(X0,X1,X2)),sK434(X0,X1,X2)),'fun_app$ac'('iMor$',sK437(X0,X1,X2)))
          & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(sK435(X0,X1,X2),'iSignature$'(sK431(X0,X1,X2))),sK434(X0,X1,X2)),sK436(X0,X1,X2))
          & 'wellDefined$'('iSignature$'(sK431(X0,X1,X2)),'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),sK433(X0,X1,X2)),sK434(X0,X1,X2)))
          & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(sK431(X0,X1,X2))),sK437(X0,X1,X2)),'fun_app$ae'('iFunctions$'(sK431(X0,X1,X2)),sK435(X0,X1,X2)))) = X0 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),'fun_app$aa'('fun_app$ab'('exprApp$',sK435(X0,X1,X2)),sK433(X0,X1,X2))),sK436(X0,X1,X2)) = X1 )
          & ( sK431(X0,X1,X2) = X2 ) )
        | ~ sP64(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK431,sK432,sK433,sK434,sK435,sK436,sK437])],[f1876,f1877]) ).

tff(f1877,plain,
    ! [X0: 'O_m_IType$',X1: 'T_f_Language$',X2: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ? [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
          ( 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
          & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
          & 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
          & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) = X0 )
          & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) = X1 )
          & ( X2 = X10 ) )
     => ( 'interp$'(sK431(X0,X1,X2),'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),sK433(X0,X1,X2)),sK434(X0,X1,X2)),'fun_app$ac'('iMor$',sK437(X0,X1,X2)))
        & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(sK435(X0,X1,X2),'iSignature$'(sK431(X0,X1,X2))),sK434(X0,X1,X2)),sK436(X0,X1,X2))
        & 'wellDefined$'('iSignature$'(sK431(X0,X1,X2)),'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),sK433(X0,X1,X2)),sK434(X0,X1,X2)))
        & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(sK431(X0,X1,X2))),sK437(X0,X1,X2)),'fun_app$ae'('iFunctions$'(sK431(X0,X1,X2)),sK435(X0,X1,X2)))) = X0 )
        & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',sK432(X0,X1,X2)),'fun_app$aa'('fun_app$ab'('exprApp$',sK435(X0,X1,X2)),sK433(X0,X1,X2))),sK436(X0,X1,X2)) = X1 )
        & ( sK431(X0,X1,X2) = X2 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f1876,plain,
    ! [X0: 'O_m_IType$',X1: 'T_f_Language$',X2: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ( sP64(X0,X1,X2)
        | ! [X3: 'T_f_o_m_unit_Interpretation_ext$',X4: 'T$',X5: 'T_f_Expression$',X6: 'T$',X7: 'F$',X8: 'T$',X9: 'M$'] :
            ( ~ 'interp$'(X3,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6),'fun_app$ac'('iMor$',X9))
            | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X7,'iSignature$'(X3)),X6),X8)
            | ~ 'wellDefined$'('iSignature$'(X3),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),X5),X6))
            | ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X3)),X9),'fun_app$ae'('iFunctions$'(X3),X7))) != X0 )
            | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X4),'fun_app$aa'('fun_app$ab'('exprApp$',X7),X5)),X8) != X1 )
            | ( X2 != X3 ) ) )
      & ( ? [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
            ( 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
            & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
            & 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
            & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) = X0 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) = X1 )
            & ( X2 = X10 ) )
        | ~ sP64(X0,X1,X2) ) ),
    inference(rectify,[],[f1875]) ).

tff(f1875,plain,
    ! [X2: 'O_m_IType$',X1: 'T_f_Language$',X0: 'T_f_o_m_unit_Interpretation_ext$'] :
      ( ( sP64(X2,X1,X0)
        | ! [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
            ( ~ 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
            | ~ 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
            | ~ 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
            | ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) != X2 )
            | ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) != X1 )
            | ( X0 != X10 ) ) )
      & ( ? [X10: 'T_f_o_m_unit_Interpretation_ext$',X11: 'T$',X12: 'T_f_Expression$',X13: 'T$',X14: 'F$',X15: 'T$',X16: 'M$'] :
            ( 'interp$'(X10,'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13),'fun_app$ac'('iMor$',X16))
            & 'fun_app$e'('fun_app$q'('funsignature_abbrev$'(X14,'iSignature$'(X10)),X13),X15)
            & 'wellDefined$'('iSignature$'(X10),'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),X12),X13))
            & ( 'fun_app$ac'('iMor$','fun_app$u'('fun_app$v'('comp$'('iCategory$'(X10)),X16),'fun_app$ae'('iFunctions$'(X10),X14))) = X2 )
            & ( 'fun_app$x'('fun_app$y'('fun_app$z'('term$',X11),'fun_app$aa'('fun_app$ab'('exprApp$',X14),X12)),X15) = X1 )
            & ( X0 = X10 ) )
        | ~ sP64(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f1346]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat May 18 18:22:52 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  % (24765)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37  % (24768)WARNING: value z3 for option sas not known
% 0.17/0.37  % (24766)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.37  % (24768)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.38  % (24769)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.38  % (24770)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.38  % (24772)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.38  % (24771)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.38  % (24767)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.44  % (24769)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.44  % (24769)Terminated due to inappropriate strategy.
% 0.17/0.44  % (24769)------------------------------
% 0.17/0.44  % (24769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.44  % (24769)Termination reason: Inappropriate
% 0.17/0.44  
% 0.17/0.44  % (24769)Memory used [KB]: 3365
% 0.17/0.44  % (24769)Time elapsed: 0.060 s
% 0.17/0.44  % (24769)Instructions burned: 174 (million)
% 0.17/0.44  % (24769)------------------------------
% 0.17/0.44  % (24769)------------------------------
% 0.17/0.45  % (24773)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.17/0.48  % (24773)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.48  % (24773)Terminated due to inappropriate strategy.
% 0.17/0.48  % (24773)------------------------------
% 0.17/0.48  % (24773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.48  % (24773)Termination reason: Inappropriate
% 0.17/0.48  
% 0.17/0.48  % (24773)Memory used [KB]: 3071
% 0.17/0.48  % (24773)Time elapsed: 0.033 s
% 0.17/0.48  % (24773)Instructions burned: 113 (million)
% 0.17/0.48  % (24773)------------------------------
% 0.17/0.48  % (24773)------------------------------
% 0.17/0.49  % (24774)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 1.53/0.60  % (24767)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.53/0.60  % (24767)Terminated due to inappropriate strategy.
% 1.53/0.60  % (24767)------------------------------
% 1.53/0.60  % (24767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/0.60  % (24767)Termination reason: Inappropriate
% 1.53/0.60  
% 1.53/0.60  % (24767)Memory used [KB]: 4103
% 1.53/0.60  % (24767)Time elapsed: 0.220 s
% 1.53/0.60  % (24767)Instructions burned: 777 (million)
% 1.53/0.60  % (24767)------------------------------
% 1.53/0.60  % (24767)------------------------------
% 1.53/0.61  % (24775)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 2.14/0.70  % (24766)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.14/0.70  % (24766)Terminated due to inappropriate strategy.
% 2.14/0.70  % (24766)------------------------------
% 2.14/0.70  % (24766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.14/0.70  % (24766)Termination reason: Inappropriate
% 2.14/0.70  
% 2.14/0.70  % (24766)Memory used [KB]: 4103
% 2.14/0.70  % (24766)Time elapsed: 0.329 s
% 2.14/0.70  % (24766)Instructions burned: 777 (million)
% 2.14/0.70  % (24766)------------------------------
% 2.14/0.70  % (24766)------------------------------
% 2.14/0.71  % (24776)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 12.45/2.20  % (24775)First to succeed.
% 12.45/2.21  % (24775)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24765"
% 12.45/2.22  % (24775)Refutation found. Thanks to Tanya!
% 12.45/2.22  % SZS status Theorem for theBenchmark
% 12.45/2.22  % SZS output start Proof for theBenchmark
% See solution above
% 12.45/2.22  % (24775)------------------------------
% 12.45/2.22  % (24775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.45/2.22  % (24775)Termination reason: Refutation
% 12.45/2.22  
% 12.45/2.22  % (24775)Memory used [KB]: 13909
% 12.45/2.22  % (24775)Time elapsed: 1.608 s
% 12.45/2.22  % (24775)Instructions burned: 3047 (million)
% 12.45/2.22  % (24765)Success in time 1.88 s
%------------------------------------------------------------------------------