%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP398_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:47 AM UTC 2026
% Result : Theorem 6.14s 1.97s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 74 ( 72 usr; 1 prp; 0-4 aty)
% Number of functors : 743 ( 743 usr; 93 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?; 15 :)
% 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$' ).
tff(func_def_388,type,
sK9: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_389,type,
sK10: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_390,type,
sK11: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_391,type,
sK12: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_392,type,
sK13: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_393,type,
sK14: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_394,type,
sK15: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_395,type,
sK16: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_396,type,
sK17: ( '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$' ).
tff(func_def_397,type,
sK18: 'Int_num_fun$' > $int ).
tff(func_def_398,type,
sK19: 'Int_num_fun$' > $int ).
tff(func_def_399,type,
sK20: 'Int_int_fun$' > $int ).
tff(func_def_400,type,
sK21: 'Int_int_fun$' > $int ).
tff(func_def_401,type,
sK22: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_402,type,
sK23: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_403,type,
sK24: 'Int_enat_fun$' > $int ).
tff(func_def_404,type,
sK25: 'Int_enat_fun$' > $int ).
tff(func_def_405,type,
sK26: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_406,type,
sK27: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_407,type,
sK28: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_408,type,
sK29: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_409,type,
sK30: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_410,type,
sK31: ( '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$' ).
tff(func_def_411,type,
sK32: ( 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_412,type,
sK33: ( '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$' ).
tff(func_def_413,type,
sK34: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_414,type,
sK35: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_415,type,
sK36: 'Mem_ell2_mem_ell2_cblinfun_list_list$' > 'Mem_ell2_mem_ell2_cblinfun_list_list$' ).
tff(func_def_416,type,
sK37: 'Mem_ell2_mem_ell2_cblinfun_list_list$' > 'Mem_ell2_mem_ell2_cblinfun_list_list$' ).
tff(func_def_417,type,
sK38: 'Mem_ell2_mem_ell2_cblinfun_list_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_418,type,
sK39: 'Mem_ell2_mem_ell2_cblinfun_list_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_419,type,
sK40: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_420,type,
sK41: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_421,type,
sK42: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_422,type,
sK43: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_423,type,
sK44: 'Num_int_fun$' > 'Num$' ).
tff(func_def_424,type,
sK45: 'Num_int_fun$' > 'Num$' ).
tff(func_def_425,type,
sK46: 'Int_int_fun$' > $int ).
tff(func_def_426,type,
sK47: 'Int_int_fun$' > $int ).
tff(func_def_427,type,
sK48: ( 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_428,type,
sK49: ( '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$' ).
tff(func_def_429,type,
sK50: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_430,type,
sK51: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_431,type,
sK52: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_432,type,
sK53: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_433,type,
sK54: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_434,type,
sK55: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_435,type,
sK56: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_436,type,
sK57: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_437,type,
sK58: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_438,type,
sK59: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_439,type,
sK60: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_440,type,
sK61: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_441,type,
sK62: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_442,type,
sK63: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_443,type,
sK64: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_444,type,
sK65: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_445,type,
sK66: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_446,type,
sK67: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_447,type,
sK68: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_448,type,
sK69: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_449,type,
sK70: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_450,type,
sK71: 'Bit_ell2_bit_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_451,type,
sK72: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_452,type,
sK73: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_453,type,
sK74: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_454,type,
sK75: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_455,type,
sK76: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_456,type,
sK77: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_457,type,
sK78: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_458,type,
sK79: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_459,type,
sK80: 'Mem_ell2_ccsubspace_mem_ell2_ccsubspace_mem_ell2_ccsubspace_fun_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_460,type,
sK81: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_461,type,
sK82: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_462,type,
sK83: 'Int_num_fun$' > $int ).
tff(func_def_463,type,
sK84: 'Int_num_fun$' > $int ).
tff(func_def_464,type,
sK85: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_465,type,
sK86: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_466,type,
sK87: 'Int_num_fun$' > $int ).
tff(func_def_467,type,
sK88: 'Int_num_fun$' > $int ).
tff(func_def_468,type,
sK89: 'Bit_bit_prod$' > 'Bit$' ).
tff(func_def_469,type,
sK90: 'Bit_bit_prod$' > 'Bit$' ).
tff(func_def_470,type,
sK91: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_471,type,
sK92: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_472,type,
sK93: 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).
tff(func_def_473,type,
sK94: ( 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun$' ).
tff(func_def_474,type,
sK95: ( 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_475,type,
sK96: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_476,type,
sK97: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_477,type,
sK98: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_478,type,
sK99: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_479,type,
sK100: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_480,type,
sK101: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_481,type,
sK102: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_482,type,
sK103: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_483,type,
sK104: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_484,type,
sK105: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_485,type,
sK106: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_486,type,
sK107: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_487,type,
sK108: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_488,type,
sK109: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_489,type,
sK110: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_490,type,
sK111: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_491,type,
sK112: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_492,type,
sK113: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_493,type,
sK114: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_494,type,
sK115: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_495,type,
sK116: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_496,type,
sK117: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_497,type,
sK118: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_498,type,
sK119: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_499,type,
sK120: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_500,type,
sK121: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_501,type,
sK122: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_502,type,
sK123: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_503,type,
sK124: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_504,type,
sK125: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_505,type,
sK126: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_506,type,
sK127: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_507,type,
sK128: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_508,type,
sK129: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_509,type,
sK130: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_510,type,
sK131: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_511,type,
sK132: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_512,type,
sK133: 'Enat_enat_bool_fun_fun$' > 'Enat$' ).
tff(func_def_513,type,
sK134: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_514,type,
sK135: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_515,type,
sK136: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_516,type,
sK137: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_517,type,
sK138: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_518,type,
sK139: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_519,type,
sK140: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_520,type,
sK141: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_521,type,
sK142: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_522,type,
sK143: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_523,type,
sK144: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_524,type,
sK145: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_525,type,
sK146: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_526,type,
sK147: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_527,type,
sK148: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_528,type,
sK149: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_529,type,
sK150: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * '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_530,type,
sK151: ( '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$' ).
tff(func_def_531,type,
sK152: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_532,type,
sK153: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_533,type,
sK154: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_534,type,
sK155: 'Num_num_bool_fun_fun$' > 'Num$' ).
tff(func_def_535,type,
sK156: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_536,type,
sK157: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_537,type,
sK158: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_538,type,
sK159: 'Enat_enat_fun$' > 'Enat$' ).
tff(func_def_539,type,
sK160: ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).
tff(func_def_540,type,
sK161: ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).
tff(func_def_541,type,
sK162: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_542,type,
sK163: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_543,type,
sK164: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_544,type,
sK165: ( '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$' ).
tff(func_def_545,type,
sK166: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_546,type,
sK167: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_547,type,
sK168: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_548,type,
sK169: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_549,type,
sK170: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_550,type,
sK171: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_551,type,
sK172: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_552,type,
sK173: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_bool_fun_fun$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_553,type,
sK174: 'Num_int_fun$' > 'Num$' ).
tff(func_def_554,type,
sK175: 'Num_int_fun$' > 'Num$' ).
tff(func_def_555,type,
sK176: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_556,type,
sK177: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_557,type,
sK178: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_558,type,
sK179: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_559,type,
sK180: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_560,type,
sK181: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_561,type,
sK182: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_562,type,
sK183: 'Num_int_fun$' > 'Num$' ).
tff(func_def_563,type,
sK184: 'Num_int_fun$' > 'Num$' ).
tff(func_def_564,type,
sK185: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_565,type,
sK186: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_566,type,
sK187: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_567,type,
sK188: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_568,type,
sK189: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_569,type,
sK190: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_570,type,
sK191: 'Int_int_int_fun_fun$' > $int ).
tff(func_def_571,type,
sK192: 'Int_int_fun$' > $int ).
tff(func_def_572,type,
sK193: 'Int_int_fun$' > $int ).
tff(func_def_573,type,
sK194: ( 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * '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_574,type,
sK195: ( '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$' ).
tff(func_def_575,type,
sK196: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_576,type,
sK197: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_577,type,
sK198: ( 'Atype_ell2_atype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Atype_ell2_atype_ell2_cblinfun$' ).
tff(func_def_578,type,
sK199: ( '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$' ).
tff(func_def_579,type,
sK200: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_580,type,
sK201: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_581,type,
sK202: 'Num_num_fun$' > 'Num$' ).
tff(func_def_582,type,
sK203: 'Num_num_fun$' > 'Num$' ).
tff(func_def_583,type,
sK204: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_584,type,
sK205: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_585,type,
sK206: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_586,type,
sK207: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_587,type,
sK208: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_588,type,
sK209: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_589,type,
sK210: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_590,type,
sK211: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_591,type,
sK212: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_592,type,
sK213: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_593,type,
sK214: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_594,type,
sK215: 'Mem_ell2_mem_ell2_cblinfun_list$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_595,type,
sK216: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_596,type,
sK217: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_597,type,
sK218: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_598,type,
sK219: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_599,type,
sK220: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_600,type,
sK221: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_601,type,
sK222: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_602,type,
sK223: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_603,type,
sK224: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_604,type,
sK225: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_605,type,
sK226: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_606,type,
sK227: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_607,type,
sK228: 'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_608,type,
sK229: 'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_609,type,
sK230: 'Mem_ell2_mem_ell2_cblinfun_list_bool_fun$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_610,type,
sK231: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_611,type,
sK232: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_612,type,
sK233: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_613,type,
sK234: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_614,type,
sK235: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_615,type,
sK236: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_616,type,
sK237: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_617,type,
sK238: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_618,type,
sK239: 'Enat_int_fun$' > 'Enat$' ).
tff(func_def_619,type,
sK240: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_620,type,
sK241: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_621,type,
sK242: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_622,type,
sK243: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_623,type,
sK244: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_624,type,
sK245: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_625,type,
sK246: 'Enat_enat_enat_fun_fun$' > 'Enat$' ).
tff(func_def_626,type,
sK247: 'Bit_bit_prod_bool_fun$' > 'Bit$' ).
tff(func_def_627,type,
sK248: 'Bit_bit_prod_bool_fun$' > 'Bit$' ).
tff(func_def_628,type,
sK249: 'Num_num_fun$' > 'Num$' ).
tff(func_def_629,type,
sK250: 'Num_num_fun$' > 'Num$' ).
tff(func_def_630,type,
sK251: 'Num_int_fun$' > 'Num$' ).
tff(func_def_631,type,
sK252: 'Num_int_fun$' > 'Num$' ).
tff(func_def_632,type,
sK253: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_633,type,
sK254: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_634,type,
sK255: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_635,type,
sK256: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_636,type,
sK257: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_637,type,
sK258: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_638,type,
sK259: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_639,type,
sK260: 'Bit_bit_prod$' > 'Bit$' ).
tff(func_def_640,type,
sK261: 'Bit_bit_prod$' > 'Bit$' ).
tff(func_def_641,type,
sK262: ( 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun$' ).
tff(func_def_642,type,
sK263: ( 'Btype_ell2_btype_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$' ).
tff(func_def_643,type,
sK264: 'Enat$' > 'Nat$' ).
tff(func_def_644,type,
sK265: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_645,type,
sK266: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_646,type,
sK267: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_647,type,
sK268: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_648,type,
sK269: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_649,type,
sK270: 'Enat_num_fun$' > 'Enat$' ).
tff(func_def_650,type,
sK271: 'Num_num_fun$' > 'Num$' ).
tff(func_def_651,type,
sK272: 'Num_num_fun$' > 'Num$' ).
tff(func_def_652,type,
sK273: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_653,type,
sK274: ( '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$' ).
tff(func_def_654,type,
sK275: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_655,type,
sK276: ( '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$' ).
tff(func_def_656,type,
sK277: 'Int_enat_fun$' > $int ).
tff(func_def_657,type,
sK278: 'Int_enat_fun$' > $int ).
tff(func_def_658,type,
sK279: 'Int_int_fun$' > $int ).
tff(func_def_659,type,
sK280: 'Int_int_fun$' > $int ).
tff(func_def_660,type,
sK281: 'Num_num_fun$' > 'Num$' ).
tff(func_def_661,type,
sK282: 'Num_num_fun$' > 'Num$' ).
tff(func_def_662,type,
sK283: 'Int_enat_fun$' > $int ).
tff(func_def_663,type,
sK284: 'Int_enat_fun$' > $int ).
tff(func_def_664,type,
sK285: 'Int_num_fun$' > $int ).
tff(func_def_665,type,
sK286: 'Int_num_fun$' > $int ).
tff(func_def_666,type,
sK287: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun$' ).
tff(func_def_667,type,
sK288: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Char_list_char_list_fun$' ).
tff(func_def_668,type,
sK289: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_669,type,
sK290: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun$' ).
tff(func_def_670,type,
sK291: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_671,type,
sK292: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_672,type,
sK293: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Char_list_char_list_fun$' ).
tff(func_def_673,type,
sK294: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_674,type,
sK295: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Char_list_char_list_fun$' ).
tff(func_def_675,type,
sK296: 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun_char_list_char_list_fun_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_char_list_char_list_fun_fun$' ).
tff(func_def_676,type,
sK297: ( 'Bit_ell2_bit_ell2_cblinfun_atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_fun$' * 'Atype_btype_prod_ell2_atype_btype_prod_ell2_cblinfun_bit_ell2_bit_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_677,type,
sK298: ( '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$' ).
tff(func_def_678,type,
sK299: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_679,type,
sK300: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_680,type,
sK301: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_681,type,
sK302: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_682,type,
sK303: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_683,type,
sK304: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_684,type,
sK305: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_685,type,
sK306: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_686,type,
sK307: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_687,type,
sK308: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_688,type,
sK309: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_689,type,
sK310: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_690,type,
sK311: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_691,type,
sK312: 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_bool_fun_fun$' ).
tff(func_def_692,type,
sK313: 'Int_enat_fun$' > $int ).
tff(func_def_693,type,
sK314: 'Int_enat_fun$' > $int ).
tff(func_def_694,type,
sK315: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_695,type,
sK316: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_696,type,
sK317: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_697,type,
sK318: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_698,type,
sK319: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_699,type,
sK320: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_700,type,
sK321: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_701,type,
sK322: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_702,type,
sK323: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_703,type,
sK324: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_704,type,
sK325: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_705,type,
sK326: 'Mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_706,type,
sK327: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_707,type,
sK328: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_708,type,
sK329: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_709,type,
sK330: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_710,type,
sK331: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_711,type,
sK332: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_712,type,
sK333: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_713,type,
sK334: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_714,type,
sK335: 'Mem_ell2_mem_ell2_cblinfun_option_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_715,type,
sK336: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_716,type,
sK337: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_717,type,
sK338: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_718,type,
sK339: 'Int_int_bool_fun_fun$' > $int ).
tff(func_def_719,type,
sK340: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_720,type,
sK341: 'Num_enat_fun$' > 'Num$' ).
tff(func_def_721,type,
sK342: ( 'Bit_ell2_bit_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_722,type,
sK343: ( '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$' ).
tff(func_def_723,type,
sK344: ( 'Bit_atype_prod_ell2_bit_atype_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' * 'Btype_ell2_btype_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$' ) > 'Btype_ell2_btype_ell2_cblinfun$' ).
tff(func_def_724,type,
sK345: ( '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$' ).
tff(func_def_725,type,
sK346: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_726,type,
sK347: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_727,type,
sK348: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_728,type,
sK349: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_729,type,
sK350: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_730,type,
sK351: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_731,type,
sK352: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_732,type,
sK353: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_733,type,
sK354: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_734,type,
sK355: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_735,type,
sK356: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_736,type,
sK357: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_737,type,
sK358: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_list$' ).
tff(func_def_738,type,
sK359: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun_option$' ).
tff(func_def_739,type,
sK360: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Mem_ell2_mem_ell2_cblinfun$' ).
tff(func_def_740,type,
sK361: 'Mem_ell2_mem_ell2_cblinfun_option_nat_mem_ell2_mem_ell2_cblinfun_list_mem_ell2_mem_ell2_cblinfun_list_prod_prod_prod$' > 'Nat$' ).
tff(func_def_741,type,
sK362: 'Num_mem_ell2_ccsubspace_fun$' > 'Num$' ).
tff(func_def_742,type,
sK363: 'Num_mem_ell2_ccsubspace_fun$' > 'Num$' ).
tff(func_def_743,type,
sK364: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_744,type,
sK365: 'Mem_ell2_ccsubspace_num_fun$' > 'Mem_ell2_ccsubspace$' ).
tff(func_def_745,type,
sK366: ( 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' * 'Bit_ell2_bit_ell2_cblinfun_bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_fun$' ) > 'Bit_ell2_bit_ell2_cblinfun$' ).
tff(func_def_746,type,
sK367: ( '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$' ).
tff(pred_def_1,type,
'compatible$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(pred_def_69,type,
sP3: ( $int * $int * $int ) > $o ).
tff(pred_def_70,type,
sP4: ( $int * $int * $int ) > $o ).
tff(pred_def_71,type,
sP5: ( $int * $int * $int ) > $o ).
tff(pred_def_72,type,
sP6: ( 'Enat$' * 'Enat$' * 'Enat$' ) > $o ).
tff(pred_def_73,type,
sP7: ( 'Enat$' * 'Enat$' * 'Enat$' ) > $o ).
tff(pred_def_74,type,
sP8: ( 'Enat$' * 'Enat$' * 'Enat$' ) > $o ).
tff(f1,conjecture,
'cblinfun_image$'('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$'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0) ).
tff(f2,negated_conjecture,
( ( ~ 'cblinfun_image$'('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$'))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,axiom,
! [X1: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$',X0: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$'] : ( 'apply$'(X0,X1) = 'fun_app$'(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
tff(f25,axiom,
! [X1: 'Mem_ell2_mem_ell2_cblinfun$',X2: 'Mem_ell2_ccsubspace$',X0: 'Mem_ell2_mem_ell2_cblinfun$'] : ( 'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$',X0),X1),X2) = 'cblinfun_image$'(X0,'cblinfun_image$'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom23) ).
tff(f736,plain,
! [X0: 'Mem_ell2_mem_ell2_cblinfun$',X1: 'Mem_ell2_ccsubspace$',X2: 'Mem_ell2_mem_ell2_cblinfun$'] : ( 'cblinfun_image$'(X2,'cblinfun_image$'(X0,X1)) = 'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$',X2),X0),X1) ),
inference(rectify,[],[f25]) ).
tff(f883,plain,
'cblinfun_image$'('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$'))),
inference(flattening,[],[f2]) ).
tff(f1067,plain,
! [X0: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$',X1: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$'] : ( 'fun_app$'(X0,X1) = 'apply$'(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f2255,plain,
! [X2: 'Mem_ell2_mem_ell2_cblinfun$',X0: 'Mem_ell2_mem_ell2_cblinfun$',X1: 'Mem_ell2_ccsubspace$'] : ( 'cblinfun_image$'(X2,'cblinfun_image$'(X0,X1)) = 'cblinfun_image$'('fun_app$a'('fun_app$b'('cblinfun_compose$',X2),X0),X1) ),
inference(cnf_transformation,[],[f736]) ).
tff(f2400,plain,
! [X0: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun_mem_ell2_mem_ell2_cblinfun_fun$',X1: 'Bit_bit_prod_ell2_bit_bit_prod_ell2_cblinfun$'] : ( 'fun_app$'(X0,X1) = 'apply$'(X1,X0) ),
inference(cnf_transformation,[],[f1067]) ).
tff(f2742,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,[],[f883]) ).
tff(f3107,plain,
'cblinfun_image$'('apply$'('uswap$','register_pair$'('x$','comp$'('phi$','snd$'))),'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$'))),'apply$'('butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'),'phi$')),'top$')) != 'cblinfun_image$'('apply$'('uswap$','register_pair$'('x$','comp$'('phi$','snd$'))),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('apply$'('butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'),'phi$'),'top$'))),
inference(definition_unfolding,[],[f2742,f2400,f2400,f2400,f2400]) ).
tff(f3441,plain,
'cblinfun_image$'('apply$'('uswap$','register_pair$'('x$','comp$'('phi$','snd$'))),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('apply$'('butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'),'phi$'),'top$'))) != 'cblinfun_image$'('apply$'('uswap$','register_pair$'('x$','comp$'('phi$','snd$'))),'cblinfun_image$'('fun_app$c'('register_pair$a'('register_pair$b'('x$','a$'),'b$'),'butterfly$'('psi$','psi$')),'cblinfun_image$'('apply$'('butterfly$a'('ket$'('pair$'('a$a','b$a')),'beta_00$'),'phi$'),'top$'))),
inference(forward_demodulation,[],[f3107,f2255]) ).
tff(f3442,plain,
$false,
inference(trivial_inequality_removal,[],[f3441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP398_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 12:57:24 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.05/1.50 % (1199182)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.05/1.50 % (1199190)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4158109621:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.05/1.50 % (1199191)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2890736927:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.05/1.50 % (1199188)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2590811145:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.05/1.50 % (1199187)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3411230626:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.05/1.50 % (1199189)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3184783615:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.05/1.50 % (1199193)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=252932310:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.05/1.50 % (1199191)Instruction limit reached!
% 4.05/1.50 % (1199191)------------------------------
% 4.05/1.50 % (1199191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.50 % (1199191)CaDiCaL version: 2.1.3
% 4.05/1.50 % (1199191)Termination reason: Instruction limit
% 4.05/1.50 % (1199191)Termination phase: Property scanning
% 4.05/1.50 % (1199191)Time elapsed: 0.004 s
% 4.05/1.50 % (1199191)Peak memory usage: 86 MB
% 4.05/1.50 % (1199191)Instructions burned: 6 (million)
% 4.05/1.50 % (1199190)Instruction limit reached!
% 4.05/1.50 % (1199190)------------------------------
% 4.05/1.50 % (1199190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.50 % (1199190)CaDiCaL version: 2.1.3
% 4.05/1.50 % (1199190)Termination reason: Instruction limit
% 4.05/1.50 % (1199190)Termination phase: Property scanning
% 4.05/1.50 % (1199190)Time elapsed: 0.006 s
% 4.05/1.50 % (1199190)Peak memory usage: 86 MB
% 4.05/1.50 % (1199190)Instructions burned: 9 (million)
% 4.05/1.50 % (1199187)Instruction limit reached!
% 4.05/1.50 % (1199187)------------------------------
% 4.05/1.50 % (1199187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.50 % (1199187)CaDiCaL version: 2.1.3
% 4.05/1.50 % (1199187)Termination reason: Instruction limit
% 4.05/1.50 % (1199187)Termination phase: Property scanning
% 4.05/1.50 % (1199187)Time elapsed: 0.008 s
% 4.05/1.50 % (1199187)Peak memory usage: 86 MB
% 4.05/1.50 % (1199187)Instructions burned: 14 (million)
% 4.05/1.50 % (1199193)Instruction limit reached!
% 4.05/1.50 % (1199193)------------------------------
% 4.05/1.50 % (1199193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.50 % (1199193)CaDiCaL version: 2.1.3
% 4.05/1.50 % (1199193)Termination reason: Instruction limit
% 4.05/1.50 % (1199193)Termination phase: Preprocessing 3
% 4.05/1.50 % (1199193)Time elapsed: 0.020 s
% 4.05/1.50 % (1199193)Peak memory usage: 88 MB
% 4.05/1.50 % (1199193)Instructions burned: 34 (million)
% 4.05/1.50 % (1199192)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=506944606:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.05/1.50 % (1199192)Instruction limit reached!
% 4.05/1.50 % (1199192)------------------------------
% 4.05/1.50 % (1199192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.50 % (1199192)CaDiCaL version: 2.1.3
% 4.05/1.50 % (1199192)Termination reason: Instruction limit
% 4.05/1.50 % (1199192)Termination phase: Property scanning
% 4.05/1.50 % (1199192)Time elapsed: 0.028 s
% 4.05/1.50 % (1199192)Peak memory usage: 89 MB
% 4.05/1.50 % (1199192)Instructions burned: 47 (million)
% 4.05/1.50 % (1199189)Instruction limit reached!
% 4.05/1.50 % (1199189)------------------------------
% 4.05/1.50 % (1199189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.50 % (1199189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199189)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199189)Termination reason: Instruction limit
% 4.76/1.66 % (1199189)Termination phase: Saturation
% 4.76/1.66 % (1199189)Time elapsed: 0.157 s
% 4.76/1.66 % (1199189)Peak memory usage: 119 MB
% 4.76/1.66 % (1199189)Instructions burned: 201 (million)
% 4.76/1.66 % (1199201)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2205076936:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.76/1.66 % (1199200)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2373448936:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 4.76/1.66 % (1199202)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1206556908:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.76/1.66 % (1199200)Instruction limit reached!
% 4.76/1.66 % (1199200)------------------------------
% 4.76/1.66 % (1199200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199200)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199200)Termination reason: Instruction limit
% 4.76/1.66 % (1199200)Termination phase: SInE selection
% 4.76/1.66 % (1199200)Time elapsed: 0.009 s
% 4.76/1.66 % (1199200)Peak memory usage: 86 MB
% 4.76/1.66 % (1199200)Instructions burned: 15 (million)
% 4.76/1.66 % (1199202)Instruction limit reached!
% 4.76/1.66 % (1199202)------------------------------
% 4.76/1.66 % (1199202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199202)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199202)Termination reason: Instruction limit
% 4.76/1.66 % (1199202)Termination phase: shuffling
% 4.76/1.66 % (1199202)Time elapsed: 0.010 s
% 4.76/1.66 % (1199202)Peak memory usage: 86 MB
% 4.76/1.66 % (1199202)Instructions burned: 16 (million)
% 4.76/1.66 % (1199203)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4276248690:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.76/1.66 % (1199201)Instruction limit reached!
% 4.76/1.66 % (1199201)------------------------------
% 4.76/1.66 % (1199201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199201)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199201)Termination reason: Instruction limit
% 4.76/1.66 % (1199201)Termination phase: Preprocessing 3
% 4.76/1.66 % (1199201)Time elapsed: 0.017 s
% 4.76/1.66 % (1199201)Peak memory usage: 88 MB
% 4.76/1.66 % (1199201)Instructions burned: 29 (million)
% 4.76/1.66 % (1199203)Instruction limit reached!
% 4.76/1.66 % (1199203)------------------------------
% 4.76/1.66 % (1199203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199203)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199203)Termination reason: Instruction limit
% 4.76/1.66 % (1199203)Termination phase: Preprocessing 1
% 4.76/1.66 % (1199203)Time elapsed: 0.013 s
% 4.76/1.66 % (1199203)Peak memory usage: 87 MB
% 4.76/1.66 % (1199203)Instructions burned: 24 (million)
% 4.76/1.66 % (1199188)Instruction limit reached!
% 4.76/1.66 % (1199188)------------------------------
% 4.76/1.66 % (1199188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (1199188)CaDiCaL version: 2.1.3
% 4.76/1.66 % (1199188)Termination reason: Instruction limit
% 4.76/1.66 % (1199188)Termination phase: Saturation
% 4.76/1.66 % (1199188)Time elapsed: 0.204 s
% 4.76/1.66 % (1199188)Peak memory usage: 119 MB
% 4.76/1.66 % (1199188)Instructions burned: 307 (million)
% 4.76/1.66 % (1199205)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2309915531:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.76/1.66 % (1199205)Instruction limit reached!
% 4.76/1.66 % (1199205)------------------------------
% 4.76/1.66 % (1199205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (1199205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199205)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199205)Termination reason: Instruction limit
% 5.65/1.84 % (1199205)Termination phase: Naming
% 5.65/1.84 % (1199205)Time elapsed: 0.017 s
% 5.65/1.84 % (1199205)Peak memory usage: 87 MB
% 5.65/1.84 % (1199205)Instructions burned: 27 (million)
% 5.65/1.84 % (1199209)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=406692640:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.65/1.84 % (1199211)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=896800092:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 5.65/1.84 % (1199212)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1516749288:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 5.65/1.84 % (1199211)Instruction limit reached!
% 5.65/1.84 % (1199211)------------------------------
% 5.65/1.84 % (1199211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.84 % (1199211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199211)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199211)Termination reason: Instruction limit
% 5.65/1.84 % (1199211)Termination phase: Property scanning
% 5.65/1.84 % (1199211)Time elapsed: 0.003 s
% 5.65/1.84 % (1199211)Peak memory usage: 86 MB
% 5.65/1.84 % (1199211)Instructions burned: 3 (million)
% 5.65/1.84 % (1199213)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1127228498:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 5.65/1.84 % (1199214)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2316693834:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 5.65/1.84 % (1199213)Instruction limit reached!
% 5.65/1.84 % (1199213)------------------------------
% 5.65/1.84 % (1199213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.84 % (1199213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199213)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199213)Termination reason: Instruction limit
% 5.65/1.84 % (1199213)Termination phase: Property scanning
% 5.65/1.84 % (1199213)Time elapsed: 0.002 s
% 5.65/1.84 % (1199213)Peak memory usage: 86 MB
% 5.65/1.84 % (1199213)Instructions burned: 4 (million)
% 5.65/1.84 % (1199209)Instruction limit reached!
% 5.65/1.84 % (1199209)------------------------------
% 5.65/1.84 % (1199209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.84 % (1199209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199209)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199209)Termination reason: Instruction limit
% 5.65/1.84 % (1199209)Termination phase: Saturation
% 5.65/1.84 % (1199209)Time elapsed: 0.046 s
% 5.65/1.84 % (1199209)Peak memory usage: 89 MB
% 5.65/1.84 % (1199209)Instructions burned: 88 (million)
% 5.65/1.84 % (1199215)lrs+10_1_thi=all:si=on:fd=off:random_seed=3464430732:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 5.65/1.84 % (1199214)Instruction limit reached!
% 5.65/1.84 % (1199214)------------------------------
% 5.65/1.84 % (1199214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.84 % (1199214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199214)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199214)Termination reason: Instruction limit
% 5.65/1.84 % (1199214)Termination phase: Saturation
% 5.65/1.84 % (1199214)Time elapsed: 0.036 s
% 5.65/1.84 % (1199214)Peak memory usage: 89 MB
% 5.65/1.84 % (1199214)Instructions burned: 67 (million)
% 5.65/1.84 % (1199215)Instruction limit reached!
% 5.65/1.84 % (1199215)------------------------------
% 5.65/1.84 % (1199215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.84 % (1199215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.84 % (1199215)CaDiCaL version: 2.1.3
% 5.65/1.84 % (1199215)Termination reason: Instruction limit
% 5.65/1.84 % (1199215)Termination phase: Preprocessing 3
% 5.65/1.84 % (1199215)Time elapsed: 0.030 s
% 5.65/1.84 % (1199215)Peak memory usage: 88 MB
% 5.65/1.84 % (1199215)Instructions burned: 54 (million)
% 5.65/1.84 % (1199217)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1405372139:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 6.14/1.97 % (1199217)Instruction limit reached!
% 6.14/1.97 % (1199217)------------------------------
% 6.14/1.97 % (1199217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199217)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199217)Termination reason: Instruction limit
% 6.14/1.97 % (1199217)Termination phase: shuffling
% 6.14/1.97 % (1199217)Time elapsed: 0.005 s
% 6.14/1.97 % (1199217)Peak memory usage: 85 MB
% 6.14/1.97 % (1199217)Instructions burned: 9 (million)
% 6.14/1.97 % (1199212)Instruction limit reached!
% 6.14/1.97 % (1199212)------------------------------
% 6.14/1.97 % (1199212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199212)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199212)Termination reason: Instruction limit
% 6.14/1.97 % (1199212)Termination phase: Saturation
% 6.14/1.97 % (1199212)Time elapsed: 0.120 s
% 6.14/1.97 % (1199212)Peak memory usage: 91 MB
% 6.14/1.97 % (1199212)Instructions burned: 181 (million)
% 6.14/1.97 % (1199224)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=271882612:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.14/1.97 % (1199224)Instruction limit reached!
% 6.14/1.97 % (1199224)------------------------------
% 6.14/1.97 % (1199224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199224)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199224)Termination reason: Instruction limit
% 6.14/1.97 % (1199224)Termination phase: Property scanning
% 6.14/1.97 % (1199224)Time elapsed: 0.002 s
% 6.14/1.97 % (1199224)Peak memory usage: 86 MB
% 6.14/1.97 % (1199224)Instructions burned: 5 (million)
% 6.14/1.97 % (1199221)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=475786701:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.14/1.97 % (1199221)Instruction limit reached!
% 6.14/1.97 % (1199221)------------------------------
% 6.14/1.97 % (1199221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199221)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199221)Termination reason: Instruction limit
% 6.14/1.97 % (1199221)Termination phase: shuffling
% 6.14/1.97 % (1199221)Time elapsed: 0.002 s
% 6.14/1.97 % (1199221)Peak memory usage: 86 MB
% 6.14/1.97 % (1199221)Instructions burned: 2 (million)
% 6.14/1.97 % (1199225)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=306096256:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.14/1.97 % (1199227)dis+10_1_si=on:random_seed=1462725517:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.14/1.97 % (1199227)Instruction limit reached!
% 6.14/1.97 % (1199227)------------------------------
% 6.14/1.97 % (1199227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199227)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199227)Termination reason: Instruction limit
% 6.14/1.97 % (1199227)Termination phase: Property scanning
% 6.14/1.97 % (1199227)Time elapsed: 0.006 s
% 6.14/1.97 % (1199227)Peak memory usage: 86 MB
% 6.14/1.97 % (1199227)Instructions burned: 11 (million)
% 6.14/1.97 % (1199228)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=17397712:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 6.14/1.97 % (1199228)Instruction limit reached!
% 6.14/1.97 % (1199228)------------------------------
% 6.14/1.97 % (1199228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199228)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199228)Termination reason: Instruction limit
% 6.14/1.97 % (1199228)Termination phase: Preprocessing 2
% 6.14/1.97 % (1199228)Time elapsed: 0.015 s
% 6.14/1.97 % (1199228)Peak memory usage: 87 MB
% 6.14/1.97 % (1199228)Instructions burned: 27 (million)
% 6.14/1.97 % (1199230)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1767462664:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2993 on theBenchmark for (2993ds/35Mi)
% 6.14/1.97 % (1199233)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2232930868:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.14/1.97 % (1199230)Instruction limit reached!
% 6.14/1.97 % (1199230)------------------------------
% 6.14/1.97 % (1199230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199230)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199230)Termination reason: Instruction limit
% 6.14/1.97 % (1199230)Termination phase: Preprocessing 3
% 6.14/1.97 % (1199230)Time elapsed: 0.022 s
% 6.14/1.97 % (1199230)Peak memory usage: 88 MB
% 6.14/1.97 % (1199231)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3923547434:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.14/1.97 % (1199230)Instructions burned: 35 (million)
% 6.14/1.97 % (1199233)Instruction limit reached!
% 6.14/1.97 % (1199233)------------------------------
% 6.14/1.97 % (1199233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199233)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199233)Termination reason: Instruction limit
% 6.14/1.97 % (1199233)Termination phase: Property scanning
% 6.14/1.97 % (1199233)Time elapsed: 0.003 s
% 6.14/1.97 % (1199233)Peak memory usage: 86 MB
% 6.14/1.97 % (1199233)Instructions burned: 10 (million)
% 6.14/1.97 % (1199231)Instruction limit reached!
% 6.14/1.97 % (1199231)------------------------------
% 6.14/1.97 % (1199231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199231)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199231)Termination reason: Instruction limit
% 6.14/1.97 % (1199231)Termination phase: shuffling
% 6.14/1.97 % (1199231)Time elapsed: 0.002 s
% 6.14/1.97 % (1199231)Peak memory usage: 86 MB
% 6.14/1.97 % (1199231)Instructions burned: 2 (million)
% 6.14/1.97 % (1199225)First to succeed.
% 6.14/1.97 % (1199225)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1199182"
% 6.14/1.97 % (1199235)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4033938957:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 6.14/1.97 % (1199238)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3807491972:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 6.14/1.97 % (1199238)Instruction limit reached!
% 6.14/1.97 % (1199238)------------------------------
% 6.14/1.97 % (1199238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199238)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199238)Termination reason: Instruction limit
% 6.14/1.97 % (1199238)Termination phase: Property scanning
% 6.14/1.97 % (1199238)Time elapsed: 0.007 s
% 6.14/1.97 % (1199238)Peak memory usage: 85 MB
% 6.14/1.97 % (1199238)Instructions burned: 15 (million)
% 6.14/1.97 % (1199245)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1649995112:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 6.14/1.97 % (1199240)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2419507628:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 6.14/1.97 % (1199245)Instruction limit reached!
% 6.14/1.97 % (1199245)------------------------------
% 6.14/1.97 % (1199245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199245)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199245)Termination reason: Instruction limit
% 6.14/1.97 % (1199245)Termination phase: Saturation
% 6.14/1.97 % (1199245)Time elapsed: 0.019 s
% 6.14/1.97 % (1199245)Peak memory usage: 90 MB
% 6.14/1.97 % (1199245)Instructions burned: 71 (million)
% 6.14/1.97 % (1199246)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2827001317:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 6.14/1.97 % (1199244)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1628243699:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 6.14/1.97 % (1199240)Also succeeded, but the first one will report.
% 6.14/1.97 % (1199244)Instruction limit reached!
% 6.14/1.97 % (1199244)------------------------------
% 6.14/1.97 % (1199244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199244)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199244)Termination reason: Instruction limit
% 6.14/1.97 % (1199244)Termination phase: Property scanning
% 6.14/1.97 % (1199244)Time elapsed: 0.006 s
% 6.14/1.97 % (1199244)Peak memory usage: 86 MB
% 6.14/1.97 % (1199244)Instructions burned: 10 (million)
% 6.14/1.97 % (1199246)Instruction limit reached!
% 6.14/1.97 % (1199246)------------------------------
% 6.14/1.97 % (1199246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199246)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199246)Termination reason: Instruction limit
% 6.14/1.97 % (1199246)Termination phase: Saturation
% 6.14/1.97 % (1199246)Time elapsed: 0.037 s
% 6.14/1.97 % (1199246)Peak memory usage: 90 MB
% 6.14/1.97 % (1199246)Instructions burned: 75 (million)
% 6.14/1.97 % (1199249)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4133060827:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 6.14/1.97 % (1199252)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=982607052:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/130Mi)
% 6.14/1.97 % (1199235)Instruction limit reached!
% 6.14/1.97 % (1199235)------------------------------
% 6.14/1.97 % (1199235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.97 % (1199235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.97 % (1199235)CaDiCaL version: 2.1.3
% 6.14/1.97 % (1199235)Termination reason: Instruction limit
% 6.14/1.97 % (1199235)Termination phase: Saturation
% 6.14/1.97 % (1199235)Time elapsed: 0.197 s
% 6.14/1.97 % (1199235)Peak memory usage: 93 MB
% 6.14/1.97 % (1199235)Instructions burned: 370 (million)
% 6.14/1.97 % (1199225)Refutation found. Thanks to Tanya!
% 6.14/1.97 % SZS status Theorem for theBenchmark
% 6.14/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/2.17 % (1199225)------------------------------
% 8.03/2.17 % (1199225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.17 % (1199225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.17 % (1199225)CaDiCaL version: 2.1.3
% 8.03/2.17 % (1199225)Termination reason: Refutation
% 8.03/2.17 % (1199225)Time elapsed: 0.095 s
% 8.03/2.17 % (1199225)Peak memory usage: 116 MB
% 8.03/2.17 % (1199225)Instructions burned: 117 (million)
% 8.03/2.17 % (1199225)------------------------------
% 8.03/2.17 % (1199225)------------------------------
% 8.03/2.17 % (1199182)Success in time 1.092 s
% 8.03/2.17 % Vampire exiting
%------------------------------------------------------------------------------