%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:56:19 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  719
% Syntax   : Number of formulae    :  725 (   8 unt; 717 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  194 ( 192 usr;   1 ari)
%            Number of type conns  :  754 ( 432   >; 322   *;   0   +;   0  <<)
%            Number of predicates  :   68 (  66 usr;   1 prp; 0-4 aty)
%            Number of functors    :  459 ( 459 usr;  93 con; 0-3 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_6,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_7,type,
    'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$': $tType ).

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

tff(type_def_9,type,
    'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$': $tType ).

tff(type_def_10,type,
    'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_11,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_12,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod$': $tType ).

tff(type_def_13,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_15,type,
    'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_16,type,
    'Bit_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_17,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_18,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$': $tType ).

tff(type_def_19,type,
    'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_20,type,
    'Bit_bit_prod_ell2_ccsubspace$': $tType ).

tff(type_def_21,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$': $tType ).

tff(type_def_22,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_23,type,
    'Mem_ell2_ccsubspace_num_fun$': $tType ).

tff(type_def_24,type,
    'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$': $tType ).

tff(type_def_25,type,
    'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$': $tType ).

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

tff(type_def_27,type,
    'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$': $tType ).

tff(type_def_28,type,
    'Btype_ell2_btype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_29,type,
    'Atype_btype_prod_ell2_ccsubspace$': $tType ).

tff(type_def_30,type,
    'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_31,type,
    'Bit_bit_prod_bit_bit_prod_prod_ell2$': $tType ).

tff(type_def_32,type,
    'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$': $tType ).

tff(type_def_33,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_34,type,
    'Bit_bit_prod_ell2_mem_ell2_cblinfun$': $tType ).

tff(type_def_35,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_36,type,
    'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_37,type,
    'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_38,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_39,type,
    'Bit_ell2_bit_ell2_cblinfun$': $tType ).

tff(type_def_40,type,
    'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_41,type,
    'Btype_ell2_btype_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_42,type,
    'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_44,type,
    'Mem_ell2_mem_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_45,type,
    'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$': $tType ).

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

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

tff(type_def_48,type,
    'Bit_ell2_ccsubspace$': $tType ).

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

tff(type_def_50,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_51,type,
    'Bit_ell2_mem_ell2_cblinfun$': $tType ).

tff(type_def_52,type,
    'Mem_ell2_bit_ell2_cblinfun$': $tType ).

tff(type_def_53,type,
    'Bit_atype_prod_ell2$': $tType ).

tff(type_def_54,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_55,type,
    'Nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$': $tType ).

tff(type_def_56,type,
    'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_58,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_60,type,
    'Bit_bit_prod_bit_prod_ell2$': $tType ).

tff(type_def_61,type,
    'Bit_bit_bit_prod_prod_ell2$': $tType ).

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

tff(type_def_63,type,
    'Atype_ell2_atype_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_64,type,
    'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$': $tType ).

tff(type_def_65,type,
    'Mem_ell2_mem_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$': $tType ).

tff(type_def_66,type,
    'Mem_ell2_mem_ell2_cblinfun_option$': $tType ).

tff(type_def_67,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_68,type,
    'Num_mem_ell2_ccsubspace_fun$': $tType ).

tff(type_def_69,type,
    'Atype_ell2_atype_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_70,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_71,type,
    'Bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_72,type,
    'Btype_ell2_btype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_73,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_75,type,
    'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_76,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_78,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_79,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_80,type,
    'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$': $tType ).

tff(type_def_81,type,
    'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_83,type,
    'Char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod$': $tType ).

tff(type_def_84,type,
    'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_85,type,
    'Bit_ell2_bit_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_86,type,
    'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_87,type,
    'Btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_89,type,
    'Btype_ell2_btype_ell2_cblinfun$': $tType ).

tff(type_def_90,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_91,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_93,type,
    'Mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun$': $tType ).

tff(type_def_94,type,
    'Bit_bit_prod_ell2$': $tType ).

tff(type_def_95,type,
    'Mem_ell2_atype_btype_prod_ell2_cblinfun$': $tType ).

tff(type_def_96,type,
    'Btype_ell2_btype_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_97,type,
    'Bit_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_98,type,
    'Bit_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_99,type,
    'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_100,type,
    'Atype_ell2_atype_ell2_cblinfun$': $tType ).

tff(type_def_101,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_102,type,
    'Atype_btype_prod_ell2_bit_ell2_cblinfun$': $tType ).

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

tff(type_def_104,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$': $tType ).

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

tff(type_def_106,type,
    'Bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_107,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_109,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_110,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_111,type,
    'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$': $tType ).

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

tff(type_def_113,type,
    'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$': $tType ).

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

tff(type_def_115,type,
    'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_116,type,
    'Btype_ell2$': $tType ).

tff(type_def_117,type,
    'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$': $tType ).

tff(type_def_118,type,
    'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_119,type,
    'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_120,type,
    'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$': $tType ).

tff(type_def_121,type,
    'Atype_ell2_atype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_122,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_123,type,
    'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_124,type,
    'Bit_bit_mem_ell2_mem_ell2_cblinfun_list_fun_fun$': $tType ).

tff(type_def_125,type,
    'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_127,type,
    'Bit_bit_prod_ell2_bit_ell2_cblinfun$': $tType ).

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

tff(type_def_129,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_130,type,
    'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_131,type,
    'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_132,type,
    'Btype_ell2_btype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_134,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_135,type,
    'Bit_bit_atype_prod_btype_prod_prod_ell2_bit_bit_atype_prod_btype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_136,type,
    'Atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_137,type,
    'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$': $tType ).

tff(type_def_138,type,
    'Bit_bit_bit_atype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_139,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$': $tType ).

tff(type_def_140,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$': $tType ).

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

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

tff(type_def_143,type,
    'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_144,type,
    'Atype_btype_prod_ell2_mem_ell2_cblinfun$': $tType ).

tff(type_def_145,type,
    'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_146,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_147,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_148,type,
    'Bit_ell2_atype_btype_prod_ell2_cblinfun$': $tType ).

tff(type_def_149,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_150,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_151,type,
    'Bit_mem_ell2_mem_ell2_cblinfun_list_fun$': $tType ).

tff(type_def_152,type,
    'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_153,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_154,type,
    'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun$': $tType ).

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

tff(type_def_156,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_157,type,
    'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun$': $tType ).

tff(type_def_158,type,
    'Bit_ell2$': $tType ).

tff(type_def_159,type,
    'Mem_ell2_mem_ell2_cblinfun_list_list$': $tType ).

tff(type_def_160,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_161,type,
    'Bit_bit_prod_atype_prod_ell2_bit_bit_prod_atype_prod_ell2_cblinfun$': $tType ).

tff(type_def_162,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_163,type,
    'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_164,type,
    'Bit_atype_prod_btype_prod_ell2$': $tType ).

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

tff(type_def_166,type,
    'Atype_ell2_atype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_167,type,
    'Mem_ell2_ccsubspace$': $tType ).

tff(type_def_168,type,
    'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_169,type,
    'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_170,type,
    'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_171,type,
    'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$': $tType ).

tff(type_def_172,type,
    'Mem_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_174,type,
    'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_175,type,
    'Mem_ell2_mem_ell2_cblinfun_list$': $tType ).

tff(type_def_176,type,
    'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$': $tType ).

tff(type_def_177,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_178,type,
    'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_179,type,
    'Btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_180,type,
    'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_181,type,
    'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_182,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$': $tType ).

tff(type_def_183,type,
    'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_184,type,
    'Mem_ell2_mem_ell2_cblinfun$': $tType ).

tff(type_def_185,type,
    'Bit_bit_bit_bit_prod_prod_prod_ell2_bit_bit_bit_bit_prod_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_186,type,
    'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_188,type,
    'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$': $tType ).

tff(type_def_189,type,
    'Bit_bit_atype_prod_prod_btype_prod_ell2_bit_bit_atype_prod_prod_btype_prod_ell2_cblinfun$': $tType ).

tff(type_def_190,type,
    'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_191,type,
    'Atype_ell2_atype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$': $tType ).

tff(type_def_192,type,
    'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun_fun$': $tType ).

tff(type_def_193,type,
    'Bit_bit_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_194,type,
    'Bit_bit_prod_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_195,type,
    'Num_int_fun$': $tType ).

tff(type_def_196,type,
    'Num_num_bool_fun_fun$': $tType ).

tff(func_def_0,type,
    'assoc$e': 'Bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_1,type,
    'eq$b': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_2,type,
    'apply$a': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_3,type,
    'comp$ac': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_4,type,
    'snd$f': 'Btype_ell2_btype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_5,type,
    'sandwich$k': 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$' > 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_6,type,
    'fun_app$t': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).

tff(func_def_7,type,
    'fun_app$ao': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_8,type,
    'pair$i': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' ).

tff(func_def_9,type,
    'snd$e': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_10,type,
    'fun_app$as': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_11,type,
    'adj$': 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_12,type,
    'fst$b': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_13,type,
    'fun_app$q': ( 'Enat_enat_fun$' * 'Enat$' ) > 'Enat$' ).

tff(func_def_14,type,
    'fun_app$bb': ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_15,type,
    'cblinfun_compose$c': ( 'Mem_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_mem_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_16,type,
    'fst$d': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_17,type,
    'comp$m': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_18,type,
    'pair$h': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$' ).

tff(func_def_19,type,
    'fun_app$au': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_20,type,
    'cblinfun_compose$f': ( 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_21,type,
    'cons$': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_22,type,
    'inf$b': 'Int_int_int_fun_fun$' ).

tff(func_def_23,type,
    'id_cblinfun$e': 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ).

tff(func_def_24,type,
    'id$c': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_25,type,
    'pair$l': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ).

tff(func_def_26,type,
    'cblinfun_compose$i': ( 'Mem_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_mem_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_27,type,
    'register_tensor$': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_28,type,
    'comp$p': ( 'Btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_29,type,
    'cblinfun_inv$f': 'Atype_btype_prod_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_30,type,
    'tensor_op$ae': ( 'Atype_ell2_atype_ell2_cblinfun$' * 'Btype_ell2_btype_ell2_cblinfun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_31,type,
    'fun_app$ax': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_32,type,
    'fun_app$c': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_33,type,
    'cblinfun_compose$k': ( 'Mem_ell2_atype_btype_prod_ell2_cblinfun$' * 'Atype_btype_prod_ell2_mem_ell2_cblinfun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_34,type,
    'id_cblinfun$f': 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_35,type,
    'cblinfun_inv$i': 'Bit_ell2_atype_btype_prod_ell2_cblinfun$' > 'Atype_btype_prod_ell2_bit_ell2_cblinfun$' ).

tff(func_def_36,type,
    'b$a': 'Bit$' ).

tff(func_def_37,type,
    'tensor_op$o': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_38,type,
    'comp$v': ( 'Atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_39,type,
    'register_pair$a': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_40,type,
    'snd$a': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_41,type,
    'tensor_op$n': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_42,type,
    'snd$k': 'Atype_ell2_atype_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_43,type,
    'sandwich$a': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_44,type,
    'swap$d': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_45,type,
    'id$g': 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_46,type,
    'tensor_op$ab': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_47,type,
    'fst$g': 'Btype_ell2_btype_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_48,type,
    'register_pair$c': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_49,type,
    'cblinfun_inv$h': 'Mem_ell2_bit_bit_prod_ell2_cblinfun$' > 'Bit_bit_prod_ell2_mem_ell2_cblinfun$' ).

tff(func_def_50,type,
    'comp$o': ( 'Btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_51,type,
    'register_pair$g': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_52,type,
    'ket$': 'Bit_bit_prod$' > 'Bit_bit_prod_ell2$' ).

tff(func_def_53,type,
    'register_tensor$c': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_54,type,
    'sandwich$c': 'Mem_ell2_mem_ell2_cblinfun$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_55,type,
    'tensor_op$e': ( 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_56,type,
    'fun_app$v': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).

tff(func_def_57,type,
    'tensor_op$j': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_58,type,
    'cblinfun_inv$c': 'Mem_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_mem_ell2_cblinfun$' ).

tff(func_def_59,type,
    'a$a': 'Bit$' ).

tff(func_def_60,type,
    'assoc$i': 'Bit_bit_prod_atype_prod_ell2_bit_bit_prod_atype_prod_ell2_cblinfun$' > 'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun$' ).

tff(func_def_61,type,
    'adj$a': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_62,type,
    'fun_app$ba': ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_63,type,
    'id$b': 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_64,type,
    'top$': 'Mem_ell2_ccsubspace$' ).

tff(func_def_65,type,
    'swap$a': 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_66,type,
    'comp$l': ( 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_67,type,
    'register_pair$u': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_68,type,
    'register_pair$n': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_69,type,
    'pair$': ( 'Bit$' * 'Bit$' ) > 'Bit_bit_prod$' ).

tff(func_def_70,type,
    'sandwich$i': 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_71,type,
    'butterfly$': ( 'Bit_atype_prod_btype_prod_ell2$' * 'Bit_atype_prod_btype_prod_ell2$' ) > 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ).

tff(func_def_72,type,
    'comp$f': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_73,type,
    'one$b': 'Complex$' ).

tff(func_def_74,type,
    'comp$k': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_75,type,
    'ifthen$b': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_76,type,
    'ket$c': 'Bit_bit_prod_bit_prod$' > 'Bit_bit_prod_bit_prod_ell2$' ).

tff(func_def_77,type,
    'register_tensor$h': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_78,type,
    'pair$m': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ).

tff(func_def_79,type,
    'fun_app$ai': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_80,type,
    'fst$a': 'Bit_ell2_bit_ell2_cblinfun$' > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_81,type,
    'beta_00$': 'Bit_bit_prod_ell2$' ).

tff(func_def_82,type,
    'fun_app$ah': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_83,type,
    'register_tensor$i': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_84,type,
    'fun_app$aq': ( 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_85,type,
    'cblinfun_compose$w': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_86,type,
    'o5$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_87,type,
    'register_pair$h': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_88,type,
    'id$d': 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_89,type,
    'comp$r': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_90,type,
    'sandwich$d': 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_91,type,
    'comp$z': ( 'Btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_92,type,
    'fst$': 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_93,type,
    'tensor_op$q': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_94,type,
    'sandwich$g': 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_95,type,
    'fst$i': 'Btype_ell2_btype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_96,type,
    'fun_app$aw': ( 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_97,type,
    'snd$h': 'Bit_ell2_bit_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_98,type,
    'tensor_op$f': ( 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_99,type,
    'cblinfun_inv$j': 'Mem_ell2_atype_btype_prod_ell2_cblinfun$' > 'Atype_btype_prod_ell2_mem_ell2_cblinfun$' ).

tff(func_def_100,type,
    'register_tensor$a': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_101,type,
    'cblinfun_compose$b': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_102,type,
    'cblinfun_inv$e': 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_103,type,
    'cblinfun_compose$n': ( 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$' * 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$' ) > 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$' ).

tff(func_def_104,type,
    'cblinfun_inv$b': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_105,type,
    'fun_app$aj': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_106,type,
    'comp$aa': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_107,type,
    'fun_app$r': ( 'Enat_enat_enat_fun_fun$' * 'Enat$' ) > 'Enat_enat_fun$' ).

tff(func_def_108,type,
    'tensor_op$t': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$' ).

tff(func_def_109,type,
    'comp$ad': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_110,type,
    'id_cblinfun$': 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_111,type,
    'assoc$f': 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' > 'Bit_bit_bit_bit_prod_prod_prod_ell2_bit_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_112,type,
    'pair$g': ( 'Mem_ell2_mem_ell2_cblinfun_option$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ).

tff(func_def_113,type,
    'teleport$': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_mem_ell2_mem_ell2_cblinfun_list_fun_fun$' ).

tff(func_def_114,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_115,type,
    'pair$j': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod$' ).

tff(func_def_116,type,
    'scaleC$': 'Complex$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_117,type,
    'butterfly$i': ( 'Bit_bit_prod_bit_prod_ell2$' * 'Bit_bit_bit_prod_prod_ell2$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_118,type,
    'one$': 'Bit$' ).

tff(func_def_119,type,
    'fun_app$aa': ( 'Int_enat_fun$' * $int ) > 'Enat$' ).

tff(func_def_120,type,
    'nil$a': 'Mem_ell2_mem_ell2_cblinfun_list_list$' ).

tff(func_def_121,type,
    'pair$b': ( 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun$' * 'Char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ).

tff(func_def_122,type,
    'register_tensor$r': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_123,type,
    'register_pair$e': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_124,type,
    'eq$': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_125,type,
    'fun_app$al': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_126,type,
    'butterfly$b': ( 'Bit_ell2$' * 'Bit_ell2$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_127,type,
    'fun_app$ap': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_128,type,
    'register_tensor$j': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_129,type,
    'fst$j': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_130,type,
    'comp$ah': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_131,type,
    'id$e': 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_132,type,
    'cblinfun_image$a': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_ccsubspace$' ) > 'Bit_ell2_ccsubspace$' ).

tff(func_def_133,type,
    'fun_app$av': ( 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_134,type,
    'register_pair$j': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_135,type,
    'comp$q': ( 'Btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_136,type,
    'pauliX$': 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_137,type,
    'comp$': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_138,type,
    'cblinfun_compose$t': ( 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' * 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_139,type,
    'comp$aj': ( 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_140,type,
    'tensor_op$aa': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_141,type,
    'fun_app$x': ( 'Enat_num_fun$' * 'Enat$' ) > 'Num$' ).

tff(func_def_142,type,
    'fun_app$a': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_143,type,
    'pair$n': ( 'Bit_bit_prod$' * 'Bit$' ) > 'Bit_bit_prod_bit_prod$' ).

tff(func_def_144,type,
    'divide$a': 'Int_int_int_fun_fun$' ).

tff(func_def_145,type,
    'register_tensor$e': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$' ).

tff(func_def_146,type,
    'o4$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_147,type,
    'comp$af': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_148,type,
    'fun_app$p': ( 'Enat_enat_bool_fun_fun$' * 'Enat$' ) > 'Enat_bool_fun$' ).

tff(func_def_149,type,
    'o7$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_150,type,
    'assoc$': 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_151,type,
    'butterfly$d': ( 'Bit_bit_prod_bit_prod_ell2$' * 'Bit_bit_prod_ell2$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_152,type,
    'tensor_op$ac': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_153,type,
    'swap$b': 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_154,type,
    'tensor_op$l': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_155,type,
    'tensor_op$a': ( 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_156,type,
    'register_pair$i': ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_157,type,
    'fun_app$': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_158,type,
    'tensor_op$': 'Bit_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_159,type,
    'snd$c': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_160,type,
    'tensor_op$ad': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Atype_ell2_atype_ell2_cblinfun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).

tff(func_def_161,type,
    'fst$k': 'Bit_ell2_bit_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_162,type,
    'fun_app$s': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_163,type,
    'tensor_op$i': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' * 'Btype_ell2_btype_ell2_cblinfun$' ) > 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ).

tff(func_def_164,type,
    'ifthen$': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_165,type,
    'register_tensor$p': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_166,type,
    'snd$i': 'Atype_ell2_atype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_167,type,
    'cblinfun_compose$r': ( 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$' * 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$' ).

tff(func_def_168,type,
    'fun_app$z': ( 'Num_enat_fun$' * 'Num$' ) > 'Enat$' ).

tff(func_def_169,type,
    'id$a': 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_170,type,
    'pauliZ$': 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_171,type,
    'snd$': 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_172,type,
    'assoc$h': 'Bit_bit_bit_atype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$' ).

tff(func_def_173,type,
    'butterfly$n': ( 'Btype_ell2$' * 'Btype_ell2$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).

tff(func_def_174,type,
    'fun_app$bd': ( 'Mem_ell2_mem_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_175,type,
    'cblinfun_compose$p': ( 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$' * 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_176,type,
    'tensor_op$c': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_177,type,
    'ket$f': 'Bit_atype_prod$' > 'Bit_atype_prod_ell2$' ).

tff(func_def_178,type,
    'comp$ab': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_179,type,
    'comp$h': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_180,type,
    'x$': 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_181,type,
    'sandwich$h': 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_182,type,
    'fst$e': 'Bit_ell2_bit_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_183,type,
    'snd$b': 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_184,type,
    'top$c': 'Enat$' ).

tff(func_def_185,type,
    'comp$y': ( 'Btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_186,type,
    'swap$c': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_187,type,
    'register_tensor$m': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_188,type,
    'o6$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_189,type,
    'register_pair$d': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_bit_bit_prod_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_190,type,
    'tensor_op$g': ( 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_191,type,
    'comp$s': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_192,type,
    'pair$c': ( 'Char_list_char_list_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' ).

tff(func_def_193,type,
    'tensor_op$d': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_194,type,
    'ket$g': 'Btype$' > 'Btype_ell2$' ).

tff(func_def_195,type,
    'snd$g': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_196,type,
    'cblinfun_inv$a': 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_197,type,
    'ket$d': 'Bit_bit_bit_prod_prod$' > 'Bit_bit_bit_prod_prod_ell2$' ).

tff(func_def_198,type,
    'assoc$c': 'Bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_199,type,
    'uswap$': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_200,type,
    'id_cblinfun$a': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_201,type,
    'tensor_op$x': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_bit_bit_prod_prod_prod_ell2_bit_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_bit_bit_bit_bit_bit_prod_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_202,type,
    'register_pair$k': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_203,type,
    'o1$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_204,type,
    'pair$a': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' ).

tff(func_def_205,type,
    'program$': 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_206,type,
    'append$': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_207,type,
    'comp$j': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_208,type,
    'comp$d': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_209,type,
    'o3$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_210,type,
    'fst$f': 'Atype_ell2_atype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_211,type,
    'tensor_op$w': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_atype_prod_btype_prod_prod_ell2_bit_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_btype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_212,type,
    'tensor_op$b': ( 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_213,type,
    'register_pair$x': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_214,type,
    'register_pair$t': ( 'Atype_ell2_atype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_215,type,
    'id$f': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' ).

tff(func_def_216,type,
    'enat$': 'Nat$' > 'Enat$' ).

tff(func_def_217,type,
    'register_pair$r': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_218,type,
    'register_tensor$n': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_219,type,
    'register_tensor$b': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_220,type,
    'fold$': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_221,type,
    'numeral$b': 'Num_int_fun$' ).

tff(func_def_222,type,
    'register_pair$': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_223,type,
    'cblinfun_compose$a': 'Bit_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_224,type,
    'id$': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_225,type,
    'tensor_op$s': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$' ).

tff(func_def_226,type,
    'cblinfun_compose$g': ( 'Atype_btype_prod_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_227,type,
    'eq$a': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_228,type,
    'cblinfun_inv$g': 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' > 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ).

tff(func_def_229,type,
    'ket$b': 'Bit$' > 'Bit_ell2$' ).

tff(func_def_230,type,
    'cblinfun_image$': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_ccsubspace$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_231,type,
    'id_cblinfun$c': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_232,type,
    'fst$c': 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_233,type,
    'comp$t': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_234,type,
    'pair$o': ( 'Bit$' * 'Bit_bit_prod$' ) > 'Bit_bit_bit_prod_prod$' ).

tff(func_def_235,type,
    'assoc$d': 'Bit_bit_atype_prod_prod_btype_prod_ell2_bit_bit_atype_prod_prod_btype_prod_ell2_cblinfun$' > 'Bit_bit_atype_prod_btype_prod_prod_ell2_bit_bit_atype_prod_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_236,type,
    'tensor_op$y': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_bit_prod_prod_prod_ell2_bit_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_237,type,
    'butterfly$f': ( 'Bit_bit_prod_ell2$' * 'Bit_bit_prod_bit_prod_ell2$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_238,type,
    'less_eq$a': 'Num_num_bool_fun_fun$' ).

tff(func_def_239,type,
    'id_cblinfun$b': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_240,type,
    'cblinfun_image$b': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_ccsubspace$' ) > 'Bit_bit_prod_ell2_ccsubspace$' ).

tff(func_def_241,type,
    'fun_app$ac': ( 'Enat_int_fun$' * 'Enat$' ) > $int ).

tff(func_def_242,type,
    'fun_app$y': ( 'Int_num_fun$' * $int ) > 'Num$' ).

tff(func_def_243,type,
    'numeral$a': 'Num_enat_fun$' ).

tff(func_def_244,type,
    'id_cblinfun$g': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).

tff(func_def_245,type,
    'butterfly$l': ( 'Bit_bit_prod_ell2$' * 'Bit_bit_prod_bit_bit_prod_prod_ell2$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_246,type,
    'cblinfun_compose$q': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_247,type,
    'register_pair$l': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_248,type,
    'register_pair$f': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_249,type,
    'comp$x': ( 'Btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_250,type,
    'register_tensor$l': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_251,type,
    'hadamard$': 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_252,type,
    'register_pair$m': ( 'Bit_ell2_bit_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_253,type,
    'inf$': 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' ).

tff(func_def_254,type,
    'fun_app$k': ( 'Bit_bit_mem_ell2_mem_ell2_cblinfun_list_fun_fun$' * 'Bit$' ) > 'Bit_mem_ell2_mem_ell2_cblinfun_list_fun$' ).

tff(func_def_255,type,
    'one$a': 'Enat$' ).

tff(func_def_256,type,
    'fun_app$am': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_257,type,
    'tensor_op$u': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_258,type,
    'ket$a': 'Bit_atype_prod_btype_prod$' > 'Bit_atype_prod_btype_prod_ell2$' ).

tff(func_def_259,type,
    'cblinfun_compose$l': ( 'Atype_btype_prod_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_260,type,
    'comp$a': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_261,type,
    'divide$': ( 'Complex$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_262,type,
    'butterfly$k': ( 'Bit_bit_prod_bit_bit_prod_prod_ell2$' * 'Bit_bit_prod_ell2$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_263,type,
    'tensor_op$z': ( 'Bit_ell2_bit_ell2_cblinfun$' * 'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_atype_prod_prod_prod_ell2_bit_bit_bit_atype_prod_prod_prod_ell2_cblinfun$' ).

tff(func_def_264,type,
    'sandwich$': 'Bit_ell2_bit_ell2_cblinfun$' > 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_265,type,
    'snd$j': 'Btype_ell2_btype_ell2_cblinfun_bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_266,type,
    'register_pair$v': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_267,type,
    'fun_app$ay': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_268,type,
    'fun_app$b': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun_fun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_269,type,
    'register_tensor$f': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_270,type,
    'butterfly$a': ( 'Bit_bit_prod_ell2$' * 'Bit_bit_prod_ell2$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_271,type,
    'assoc$a': 'Bit_bit_atype_btype_prod_prod_prod_ell2_bit_bit_atype_btype_prod_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_272,type,
    'fun_app$ae': ( 'Mem_ell2_ccsubspace_num_fun$' * 'Mem_ell2_ccsubspace$' ) > 'Num$' ).

tff(func_def_273,type,
    'apply$': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_274,type,
    'comp$al': ( 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_275,type,
    'ifthen$a': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_276,type,
    'sandwich$l': 'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun$' > 'Atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_atype_btype_prod_bit_prod_ell2_atype_btype_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_277,type,
    'fun_app$an': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_278,type,
    'id_cblinfun$d': 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_279,type,
    'inf$a': 'Enat_enat_enat_fun_fun$' ).

tff(func_def_280,type,
    'snd$d': 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_281,type,
    'cons$a': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_list_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_list$' ).

tff(func_def_282,type,
    'top$a': 'Bit_ell2_ccsubspace$' ).

tff(func_def_283,type,
    'fun_app$ak': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_284,type,
    'butterfly$c': ( 'Bit_bit_prod_ell2$' * 'Bit_ell2$' ) > 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_285,type,
    'register_pair$q': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_286,type,
    'o2$': 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_287,type,
    'comp$g': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_288,type,
    'fun_app$n': ( 'Num_num_bool_fun_fun$' * 'Num$' ) > 'Num_bool_fun$' ).

tff(func_def_289,type,
    'top$b': 'Bit_bit_prod_ell2_ccsubspace$' ).

tff(func_def_290,type,
    'sandwich$f': 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' > 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_291,type,
    'fun_app$w': ( 'Num_num_fun$' * 'Num$' ) > 'Num$' ).

tff(func_def_292,type,
    'fun_app$i': ( 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' * 'Mem_ell2_ccsubspace$' ) > 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun$' ).

tff(func_def_293,type,
    'tensor_op$h': ( 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' * 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_294,type,
    'register_pair$w': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_295,type,
    'a$': 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_296,type,
    'comp$ae': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_297,type,
    'register_tensor$g': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_298,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_299,type,
    'less_eq$b': 'Enat_enat_bool_fun_fun$' ).

tff(func_def_300,type,
    'comp$ai': ( 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_301,type,
    'comp$w': ( 'Atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_302,type,
    'pre$': 'Mem_ell2_ccsubspace$' ).

tff(func_def_303,type,
    'ket$e': 'Bit_bit_prod_bit_bit_prod_prod$' > 'Bit_bit_prod_bit_bit_prod_prod_ell2$' ).

tff(func_def_304,type,
    'xz$': 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_305,type,
    'butterfly$g': ( 'Bit_bit_bit_prod_prod_ell2$' * 'Bit_bit_prod_ell2$' ) > 'Bit_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_306,type,
    'fun_app$bc': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_307,type,
    'psi$': 'Bit_atype_prod_btype_prod_ell2$' ).

tff(func_def_308,type,
    'cnot$': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_309,type,
    'cblinfun_compose$': 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun_fun$' ).

tff(func_def_310,type,
    'register_pair$s': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_atype_prod_ell2_bit_bit_prod_atype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_311,type,
    'butterfly$e': ( 'Bit_ell2$' * 'Bit_bit_prod_ell2$' ) > 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' ).

tff(func_def_312,type,
    'fun_app$e': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_313,type,
    'register_tensor$o': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_314,type,
    'assoc$g': 'Bit_bit_bit_bit_prod_prod_prod_ell2_bit_bit_bit_bit_prod_prod_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_315,type,
    'cblinfun_compose$m': ( 'Mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun$' * 'Mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun$' ) > 'Mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun$' ).

tff(func_def_316,type,
    'fun_app$g': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_317,type,
    'pair$e': ( 'Mem_ell2_mem_ell2_cblinfun_option$' * 'Nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' ).

tff(func_def_318,type,
    'comp$e': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_319,type,
    'fun_app$d': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_320,type,
    'register_pair$o': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ) > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_321,type,
    'cblinfun_compose$h': ( 'Bit_ell2_atype_btype_prod_ell2_cblinfun$' * 'Atype_btype_prod_ell2_bit_ell2_cblinfun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_322,type,
    'comp$ak': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_323,type,
    'pair$q': ( 'Bit_atype_prod$' * 'Btype$' ) > 'Bit_atype_prod_btype_prod$' ).

tff(func_def_324,type,
    'comp$ag': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_325,type,
    'assoc$b': 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_326,type,
    'fun_app$ag': ( 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$' ).

tff(func_def_327,type,
    'fun_app$ab': ( 'Num_int_fun$' * 'Num$' ) > $int ).

tff(func_def_328,type,
    'pair$p': ( 'Bit_bit_prod$' * 'Bit_bit_prod$' ) > 'Bit_bit_prod_bit_bit_prod_prod$' ).

tff(func_def_329,type,
    'butterfly$m': ( 'Bit_atype_prod_ell2$' * 'Bit_atype_prod_ell2$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).

tff(func_def_330,type,
    'comp$c': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_331,type,
    'fun_app$f': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_332,type,
    'cblinfun_compose$o': ( 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$' * 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$' ) > 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$' ).

tff(func_def_333,type,
    'comp$n': ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ).

tff(func_def_334,type,
    'sandwich$n': 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun$' > 'Mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_mem_bit_prod_ell2_mem_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_335,type,
    'register_pair$b': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_336,type,
    'fun_app$at': ( 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_337,type,
    'cblinfun_compose$j': ( 'Bit_bit_prod_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_338,type,
    'cblinfun_compose$d': ( 'Bit_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_bit_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_339,type,
    'fst$h': 'Atype_ell2_atype_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_340,type,
    'comp$i': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_341,type,
    'one$c': 'Num$' ).

tff(func_def_342,type,
    'pair$d': ( 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' ).

tff(func_def_343,type,
    'fun_app$be': ( 'Mem_ell2_mem_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_344,type,
    'tensor_ell2$': ( 'Bit_ell2$' * 'Bit_ell2$' ) > 'Bit_bit_prod_ell2$' ).

tff(func_def_345,type,
    'cblinfun_inv$': 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_346,type,
    'cblinfun_image$c': ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' * 'Atype_btype_prod_ell2_ccsubspace$' ) > 'Atype_btype_prod_ell2_ccsubspace$' ).

tff(func_def_347,type,
    'register_tensor$k': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_348,type,
    'tensor_op$r': ( 'Mem_ell2_mem_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Mem_mem_prod_ell2_mem_mem_prod_ell2_cblinfun$' ).

tff(func_def_349,type,
    'pair$k': ( 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ) > 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' ).

tff(func_def_350,type,
    'fun_app$j': ( 'Bit_mem_ell2_mem_ell2_cblinfun_list_fun$' * 'Bit$' ) > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_351,type,
    'cblinfun_compose$s': ( 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' * 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_352,type,
    'cblinfun_compose$u': ( 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' * 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_353,type,
    'cblinfun_compose$e': ( 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' * 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_354,type,
    'tensor_op$m': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_355,type,
    'butterfly$h': ( 'Bit_bit_prod_ell2$' * 'Bit_bit_bit_prod_prod_ell2$' ) > 'Bit_bit_bit_prod_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_356,type,
    'comp$u': ( 'Atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_357,type,
    'pair$f': ( 'Nat$' * 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' ) > 'Nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' ).

tff(func_def_358,type,
    'fun_app$h': ( 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun$' * 'Mem_ell2_ccsubspace$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_359,type,
    'comp$b': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_360,type,
    'numeral$': 'Num$' > 'Complex$' ).

tff(func_def_361,type,
    'sandwich$e': 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_362,type,
    'cblinfun_inv$d': 'Bit_ell2_mem_ell2_cblinfun$' > 'Mem_ell2_bit_ell2_cblinfun$' ).

tff(func_def_363,type,
    'tensor_op$p': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_atype_prod_prod_ell2_bit_bit_prod_bit_atype_prod_prod_ell2_cblinfun$' ).

tff(func_def_364,type,
    'tensor_op$v': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Mem_ell2_mem_ell2_cblinfun$' ) > 'Bit_bit_prod_mem_prod_ell2_bit_bit_prod_mem_prod_ell2_cblinfun$' ).

tff(func_def_365,type,
    'register_tensor$d': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_366,type,
    'sandwich$m': 'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun$' > 'Atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_atype_btype_prod_bit_bit_prod_prod_ell2_atype_btype_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_367,type,
    'register_pair$p': ( 'Bit_bit_atype_prod_prod_ell2_bit_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_atype_prod_prod_btype_prod_ell2_bit_bit_atype_prod_prod_btype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_368,type,
    'sandwich$o': 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun$' > 'Mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_mem_bit_bit_prod_prod_ell2_mem_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_369,type,
    'b$': 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_370,type,
    'sandwich$b': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ).

tff(func_def_371,type,
    'fun_app$ar': ( 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun_fun$' * 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun$' ) > 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_372,type,
    'swap$': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ).

tff(func_def_373,type,
    'product_lists$': 'Mem_ell2_mem_ell2_cblinfun_list_list$' > 'Mem_ell2_mem_ell2_cblinfun_list_list$' ).

tff(func_def_374,type,
    'fun_app$az': ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ) > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_375,type,
    'tensor_op$k': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' * 'Bit_ell2_bit_ell2_cblinfun$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun$' ).

tff(func_def_376,type,
    'cblinfun_compose$v': ( 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' * 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ) > 'Bit_bit_prod_atype_btype_prod_prod_ell2_bit_bit_prod_atype_btype_prod_prod_ell2_cblinfun$' ).

tff(func_def_377,type,
    'register_tensor$q': ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_bit_bit_prod_prod_ell2_bit_bit_prod_bit_bit_prod_prod_ell2_cblinfun_fun$' ).

tff(func_def_378,type,
    'butterfly$j': ( 'Bit_bit_bit_prod_prod_ell2$' * 'Bit_bit_prod_bit_prod_ell2$' ) > 'Bit_bit_prod_bit_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun$' ).

tff(func_def_379,type,
    'fun_app$ad': ( 'Num_mem_ell2_ccsubspace_fun$' * 'Num$' ) > 'Mem_ell2_ccsubspace$' ).

tff(func_def_380,type,
    'phi$': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ).

tff(func_def_381,type,
    'bit0$': 'Num_num_fun$' ).

tff(func_def_382,type,
    'sandwich$j': 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun$' > 'Bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_bit_mem_prod_ell2_bit_mem_prod_ell2_cblinfun_fun$' ).

tff(func_def_383,type,
    'nil$': 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_388,type,
    sK3: 'Bit_bit_prod$' > 'Bit$' ).

tff(func_def_389,type,
    sK4: 'Bit_bit_prod$' > 'Bit$' ).

tff(func_def_390,type,
    sK5: 'Bit_bit_prod$' > 'Bit$' ).

tff(func_def_391,type,
    sK6: 'Bit_bit_prod$' > 'Bit$' ).

tff(func_def_392,type,
    sK7: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_393,type,
    sK8: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_394,type,
    sK9: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_395,type,
    sK10: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_396,type,
    sK11: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_397,type,
    sK12: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_398,type,
    sK13: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).

tff(func_def_399,type,
    sK14: ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).

tff(func_def_400,type,
    sK15: ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).

tff(func_def_401,type,
    sK16: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_402,type,
    sK17: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_403,type,
    sK18: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_404,type,
    sK19: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_405,type,
    sK20: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_406,type,
    sK21: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_407,type,
    sK22: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_408,type,
    sK23: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_409,type,
    sK24: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_410,type,
    sK25: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_411,type,
    sK26: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_412,type,
    sK27: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_413,type,
    sK28: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_414,type,
    sK29: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_415,type,
    sK30: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).

tff(func_def_416,type,
    sK31: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).

tff(func_def_417,type,
    sK32: 'Num_num_fun$' > 'Num$' ).

tff(func_def_418,type,
    sK33: 'Num_num_fun$' > 'Num$' ).

tff(func_def_419,type,
    sK34: 'Num_num_fun$' > 'Num$' ).

tff(func_def_420,type,
    sK35: 'Num_num_fun$' > 'Num$' ).

tff(func_def_421,type,
    sK36: 'Num_num_fun$' > 'Num$' ).

tff(func_def_422,type,
    sK37: 'Num_num_fun$' > 'Num$' ).

tff(func_def_423,type,
    sK38: 'Num_num_fun$' > 'Num$' ).

tff(func_def_424,type,
    sK39: 'Num_num_fun$' > 'Num$' ).

tff(func_def_425,type,
    sK40: ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).

tff(func_def_426,type,
    sK41: ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).

tff(func_def_427,type,
    sK42: ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).

tff(func_def_428,type,
    sK43: ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).

tff(func_def_429,type,
    sK44: ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).

tff(func_def_430,type,
    sK45: ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).

tff(func_def_431,type,
    sK46: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_432,type,
    sK47: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).

tff(func_def_433,type,
    sK48: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_434,type,
    sK49: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).

tff(func_def_435,type,
    sK50: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_436,type,
    sK51: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_437,type,
    sK52: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_438,type,
    sK53: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_439,type,
    sK54: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_440,type,
    sK55: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_441,type,
    sK56: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_442,type,
    sK57: 'Num_num_bool_fun_fun$' > 'Num$' ).

tff(func_def_443,type,
    sK58: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_444,type,
    sK59: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_445,type,
    sK60: ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_446,type,
    sK61: ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_447,type,
    sK62: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_448,type,
    sK63: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_449,type,
    sK64: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_450,type,
    sK65: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_451,type,
    sK66: 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).

tff(func_def_452,type,
    sK67: ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_453,type,
    sK68: ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_454,type,
    sK69: ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_455,type,
    sK70: ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_456,type,
    sK71: 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_457,type,
    sK72: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_458,type,
    sK73: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(func_def_459,type,
    sK74: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_460,type,
    sK75: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_461,type,
    sK76: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).

tff(func_def_462,type,
    sK77: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' ).

tff(pred_def_1,type,
    'compatible$e': ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_2,type,
    'register$f': 'Bit_bit_bit_prod_prod_ell2_bit_bit_bit_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_3,type,
    'iso_cblinfun$g': 'Mem_ell2_bit_bit_prod_ell2_cblinfun$' > $o ).

tff(pred_def_4,type,
    'teleport_locale$c': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_5,type,
    'compatible$i': ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_6,type,
    'register$l': 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' > $o ).

tff(pred_def_7,type,
    'compatible$h': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_8,type,
    'teleport_locale$d': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_9,type,
    'compatible$c': ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_10,type,
    'unitary$d': 'Bit_atype_btype_prod_prod_ell2_bit_atype_btype_prod_prod_ell2_cblinfun$' > $o ).

tff(pred_def_11,type,
    'less_eq$': ( 'Mem_ell2_ccsubspace$' * 'Mem_ell2_ccsubspace$' ) > $o ).

tff(pred_def_12,type,
    'register$d': 'Btype_atype_prod_ell2_btype_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_13,type,
    'iso_cblinfun$a': 'Bit_ell2_mem_ell2_cblinfun$' > $o ).

tff(pred_def_14,type,
    'register$m': 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' > $o ).

tff(pred_def_15,type,
    'unitary$c': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' > $o ).

tff(pred_def_16,type,
    'iso_cblinfun$b': 'Mem_ell2_mem_ell2_cblinfun$' > $o ).

tff(pred_def_17,type,
    'register$': 'Btype_bit_atype_prod_prod_ell2_btype_bit_atype_prod_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_18,type,
    'register$q': 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_19,type,
    'compatible$b': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_20,type,
    'compatible$f': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_21,type,
    'unitary$a': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' > $o ).

tff(pred_def_22,type,
    'iso_cblinfun$e': 'Atype_btype_prod_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_23,type,
    'teleport_locale$': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_24,type,
    'register$j': 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_25,type,
    'iso_cblinfun$c': 'Bit_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_26,type,
    'iso_cblinfun$i': 'Mem_ell2_atype_btype_prod_ell2_cblinfun$' > $o ).

tff(pred_def_27,type,
    'register$p': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' > $o ).

tff(pred_def_28,type,
    'fun_app$m': ( 'Num_bool_fun$' * 'Num$' ) > $o ).

tff(pred_def_29,type,
    'register$c': 'Atype_bit_prod_ell2_atype_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_30,type,
    'teleport_locale$b': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_31,type,
    'compatible$d': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_32,type,
    'isometry$a': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' > $o ).

tff(pred_def_33,type,
    'hoare$': ( 'Mem_ell2_ccsubspace$' * 'Mem_ell2_mem_ell2_cblinfun_list$' * 'Mem_ell2_ccsubspace$' ) > $o ).

tff(pred_def_34,type,
    'fun_app$u': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_35,type,
    'compatible$k': ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_36,type,
    'register$i': 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_37,type,
    'register$g': 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_38,type,
    'isometry$b': 'Mem_ell2_mem_ell2_cblinfun$' > $o ).

tff(pred_def_39,type,
    'register$b': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_40,type,
    'fun_app$l': ( 'Bit_bit_prod_bool_fun$' * 'Bit_bit_prod$' ) > $o ).

tff(pred_def_41,type,
    'register$a': 'Bit_bit_prod_bit_prod_ell2_bit_bit_prod_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_42,type,
    'register$k': 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_43,type,
    'compatible$g': ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_44,type,
    'unitary$': 'Bit_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_45,type,
    'compatible$a': ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_46,type,
    'unitary$b': 'Mem_ell2_mem_ell2_cblinfun$' > $o ).

tff(pred_def_47,type,
    'isometry$': 'Bit_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_48,type,
    'compatible$j': ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_49,type,
    'fun_app$af': ( 'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$' * 'Mem_ell2_mem_ell2_cblinfun_list$' ) > $o ).

tff(pred_def_50,type,
    'register$n': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' > $o ).

tff(pred_def_51,type,
    'teleport_locale$a': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_52,type,
    'compatible$': ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_53,type,
    'iso_cblinfun$': 'Mem_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_54,type,
    'iso_cblinfun$h': 'Bit_ell2_atype_btype_prod_ell2_cblinfun$' > $o ).

tff(pred_def_55,type,
    'iso_cblinfun$f': 'Bit_ell2_bit_bit_prod_ell2_cblinfun$' > $o ).

tff(pred_def_56,type,
    'register$e': 'Bit_atype_prod_btype_prod_ell2_bit_atype_prod_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_57,type,
    'register$r': 'Mem_ell2_mem_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' > $o ).

tff(pred_def_58,type,
    'iso_cblinfun$j': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$' > $o ).

tff(pred_def_59,type,
    'register$h': 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' > $o ).

tff(pred_def_60,type,
    'iso_cblinfun$d': 'Bit_bit_prod_ell2_bit_ell2_cblinfun$' > $o ).

tff(pred_def_61,type,
    'fun_app$o': ( 'Enat_bool_fun$' * 'Enat$' ) > $o ).

tff(pred_def_62,type,
    'register$o': 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' > $o ).

tff(pred_def_63,type,
    'register$s': 'Mem_ell2_mem_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' > $o ).

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

tff(pred_def_67,type,
    sP1: ( 'Num$' * 'Num$' * 'Num$' ) > $o ).

tff(pred_def_68,type,
    sP2: ( 'Num$' * 'Num$' * 'Num$' ) > $o ).

tff(f1616,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1615]) ).

tff(f1615,plain,
    'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))) != 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))),
    inference(backward_demodulation,[],[f1113,f1163]) ).

tff(f1163,plain,
    ! [X2: 'Mem_ell2_ccsubspace$',X0: 'Mem_ell2_mem_ell2_cblinfun$',X1: 'Mem_ell2_mem_ell2_cblinfun$'] : ( 'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$',X0),X1),X2) = 'cblinfun_image$'(X0,'cblinfun_image$'(X1,X2)) ),
    inference(cnf_transformation,[],[f25]) ).

tff(f25,axiom,
    ! [X0: 'Mem_ell2_mem_ell2_cblinfun$',X1: 'Mem_ell2_mem_ell2_cblinfun$',X2: 'Mem_ell2_ccsubspace$'] : ( 'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$',X0),X1),X2) = 'cblinfun_image$'(X0,'cblinfun_image$'(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Ek99wvM1h/Vampire---4.8_27660',axiom23) ).

tff(f1113,plain,
    'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$','fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$'))),'fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'))),'top$')) != 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))),
    inference(cnf_transformation,[],[f717]) ).

tff(f717,plain,
    'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$','fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$'))),'fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'))),'top$')) != 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))),
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ~ 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$','fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$'))),'fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'))),'top$')) = 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$','fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$'))),'fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'))),'top$')) = 'cblinfun_image$'('fun_app$'('register_pair$'('x$','comp$'('phi$','snd$')),'uswap$'),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('fun_app$'('phi$','butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$')),'top$'))),
    file('/export/starexec/sandbox2/tmp/tmp.0Ek99wvM1h/Vampire---4.8_27660',conjecture0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.34  % Computer : n026.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Fri May  3 19:16:38 EDT 2024
% 0.16/0.35  % CPUTime    : 
% 0.16/0.35  This is a TF0_THM_EQU_ARI problem
% 0.16/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0Ek99wvM1h/Vampire---4.8_27660
% 0.60/0.76  % (28018)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.77  % (28011)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.77  % (28012)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.77  % (28013)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.77  % (28016)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.77  % (28014)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.77  % (28017)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.77  % (28015)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.78  % (28014)Instruction limit reached!
% 0.60/0.78  % (28014)------------------------------
% 0.60/0.78  % (28014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (28014)Termination reason: Unknown
% 0.60/0.78  % (28014)Termination phase: Property scanning
% 0.60/0.78  
% 0.60/0.78  % (28014)Memory used [KB]: 1787
% 0.60/0.78  % (28014)Time elapsed: 0.015 s
% 0.60/0.78  % (28014)Instructions burned: 33 (million)
% 0.60/0.78  % (28014)------------------------------
% 0.60/0.78  % (28014)------------------------------
% 0.60/0.78  % (28018)Instruction limit reached!
% 0.60/0.78  % (28018)------------------------------
% 0.60/0.78  % (28018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (28018)Termination reason: Unknown
% 0.60/0.78  % (28018)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (28018)Memory used [KB]: 1999
% 0.60/0.78  % (28018)Time elapsed: 0.016 s
% 0.60/0.78  % (28018)Instructions burned: 57 (million)
% 0.60/0.78  % (28018)------------------------------
% 0.60/0.78  % (28018)------------------------------
% 0.60/0.78  % (28011)Instruction limit reached!
% 0.60/0.78  % (28011)------------------------------
% 0.60/0.78  % (28011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (28011)Termination reason: Unknown
% 0.60/0.78  % (28011)Termination phase: Preprocessing 3
% 0.60/0.78  
% 0.60/0.78  % (28011)Memory used [KB]: 1799
% 0.60/0.78  % (28011)Time elapsed: 0.016 s
% 0.60/0.78  % (28011)Instructions burned: 34 (million)
% 0.60/0.78  % (28011)------------------------------
% 0.60/0.78  % (28011)------------------------------
% 0.60/0.78  % (28015)Instruction limit reached!
% 0.60/0.78  % (28015)------------------------------
% 0.60/0.78  % (28015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (28015)Termination reason: Unknown
% 0.60/0.78  % (28015)Termination phase: Preprocessing 1
% 0.60/0.78  
% 0.60/0.78  % (28015)Memory used [KB]: 1781
% 0.60/0.78  % (28015)Time elapsed: 0.017 s
% 0.60/0.78  % (28015)Instructions burned: 35 (million)
% 0.60/0.78  % (28015)------------------------------
% 0.60/0.78  % (28015)------------------------------
% 0.60/0.78  % (28023)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.78  % (28022)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.78  % (28024)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79  % (28016)Instruction limit reached!
% 0.60/0.79  % (28016)------------------------------
% 0.60/0.79  % (28016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (28016)Termination reason: Unknown
% 0.60/0.79  % (28016)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (28016)Memory used [KB]: 2006
% 0.60/0.79  % (28016)Time elapsed: 0.021 s
% 0.60/0.79  % (28016)Instructions burned: 46 (million)
% 0.60/0.79  % (28016)------------------------------
% 0.60/0.79  % (28016)------------------------------
% 0.60/0.79  % (28025)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.79  % (28012)Instruction limit reached!
% 0.60/0.79  % (28012)------------------------------
% 0.60/0.79  % (28012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (28012)Termination reason: Unknown
% 0.60/0.79  % (28012)Termination phase: Preprocessing 3
% 0.60/0.79  
% 0.60/0.79  % (28012)Memory used [KB]: 2340
% 0.60/0.79  % (28012)Time elapsed: 0.024 s
% 0.60/0.79  % (28012)Instructions burned: 51 (million)
% 0.60/0.79  % (28012)------------------------------
% 0.60/0.79  % (28012)------------------------------
% 0.60/0.79  % (28027)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79  % (28013)First to succeed.
% 0.60/0.79  % (28029)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.79  % (28013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27844"
% 0.60/0.79  % (28017)Also succeeded, but the first one will report.
% 0.60/0.80  % (28023)Instruction limit reached!
% 0.60/0.80  % (28023)------------------------------
% 0.60/0.80  % (28023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (28023)Termination reason: Unknown
% 0.60/0.80  % (28023)Termination phase: Preprocessing 3
% 0.60/0.80  
% 0.60/0.80  % (28023)Memory used [KB]: 2275
% 0.60/0.80  % (28023)Time elapsed: 0.014 s
% 0.60/0.80  % (28023)Instructions burned: 51 (million)
% 0.60/0.80  % (28023)------------------------------
% 0.60/0.80  % (28023)------------------------------
% 0.60/0.80  % (28013)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (28013)------------------------------
% 0.60/0.80  % (28013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (28013)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (28013)Memory used [KB]: 2096
% 0.60/0.80  % (28013)Time elapsed: 0.030 s
% 0.60/0.80  % (28013)Instructions burned: 62 (million)
% 0.60/0.80  % (27844)Success in time 0.431 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------