TSTP Solution File: ITP387_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP387_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:41:48 EDT 2024

% Result   : Theorem 2.20s 1.09s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  665
% Syntax   : Number of formulae    :  686 (  30 unt; 656 typ;   0 def)
%            Number of atoms       :   30 (  29 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (  12   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  147 ( 146 usr)
%            Number of type conns  :  874 ( 477   >; 397   *;   0   +;   0  <<)
%            Number of predicates  :   79 (  77 usr;   1 prp; 0-4 aty)
%            Number of functors    :  433 ( 433 usr;  33 con; 0-4 aty)
%            Number of variables   :   46 (  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'A_a_prod_ell2$': $tType ).

tff(type_def_6,type,
    'D_ell2_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_7,type,
    'A_ell2_a_ell2_cblinfun$': $tType ).

tff(type_def_8,type,
    'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$': $tType ).

tff(type_def_9,type,
    'B_d_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff(type_def_10,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$': $tType ).

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

tff(type_def_12,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$': $tType ).

tff(type_def_13,type,
    'B_ell2_b_ell2_cblinfun$': $tType ).

tff(type_def_14,type,
    'C_a_c_prod_prod_ell2$': $tType ).

tff(type_def_15,type,
    'D_ell2_complex_cblinfun$': $tType ).

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

tff(type_def_17,type,
    'A_c_prod_a_c_prod_ell2_fun$': $tType ).

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

tff(type_def_19,type,
    'Complex_d_ell2_cblinfun$': $tType ).

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

tff(type_def_21,type,
    'A_a_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_23,type,
    'Complex_a_c_prod_ell2_prod$': $tType ).

tff(type_def_24,type,
    'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_25,type,
    'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$': $tType ).

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

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

tff(type_def_28,type,
    'C_ell2_d_ell2_cblinfun$': $tType ).

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

tff(type_def_30,type,
    'A_c_prod_ell2$': $tType ).

tff(type_def_31,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_32,type,
    'A_c_prod_a_c_prod_prod_ell2_set$': $tType ).

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

tff(type_def_34,type,
    'C_ell2_d_ell2_cblinfun_set$': $tType ).

tff(type_def_35,type,
    'A_c_prod_ell2_b_d_prod_ell2_fun$': $tType ).

tff(type_def_36,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_complex_fun$': $tType ).

tff(type_def_37,type,
    'C_a_prod_ell2_d_b_prod_ell2_cblinfun$': $tType ).

tff(type_def_38,type,
    'C_ell2_c_ell2_cblinfun$': $tType ).

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

tff(type_def_40,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$': $tType ).

tff(type_def_41,type,
    'D_ell2$': $tType ).

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

tff(type_def_43,type,
    'B_d_prod_ell2_itself$': $tType ).

tff(type_def_44,type,
    'C_c_prod_ell2$': $tType ).

tff(type_def_45,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_bool_fun_fun$': $tType ).

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

tff(type_def_47,type,
    'D_b_prod_ell2$': $tType ).

tff(type_def_48,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$': $tType ).

tff(type_def_49,type,
    'B_d_prod_b_d_prod_prod_ell2$': $tType ).

tff(type_def_50,type,
    'Complex_d_ell2_prod$': $tType ).

tff(type_def_51,type,
    'B_d_prod_ell2_b_d_prod_ell2_cblinfun$': $tType ).

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

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

tff(type_def_54,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$': $tType ).

tff(type_def_55,type,
    'D_d_prod_ell2$': $tType ).

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

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

tff(type_def_58,type,
    'B_d_prod_ell2_a_c_prod_ell2_fun$': $tType ).

tff(type_def_59,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$': $tType ).

tff(type_def_60,type,
    'B_d_prod_ell2_set$': $tType ).

tff(type_def_61,type,
    'A_c_prod_ell2_ccsubspace$': $tType ).

tff(type_def_62,type,
    'A_ell2_set$': $tType ).

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

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

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

tff(type_def_66,type,
    'C_ell2_d_ell2_cblinfun_complex_fun$': $tType ).

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

tff(type_def_68,type,
    'A_c_prod_c_prod_ell2$': $tType ).

tff(type_def_69,type,
    'B_b_prod_ell2$': $tType ).

tff(type_def_70,type,
    'C_ell2_d_ell2_fun$': $tType ).

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

tff(type_def_72,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_bool_fun_fun$': $tType ).

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

tff(type_def_74,type,
    'C_ell2_d_ell2_cblinfun_set_set$': $tType ).

tff(type_def_75,type,
    'C_ell2$': $tType ).

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

tff(type_def_77,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$': $tType ).

tff(type_def_78,type,
    'C_ell2_d_ell2_cblinfun_bool_fun$': $tType ).

tff(type_def_79,type,
    'A_a_c_prod_prod_ell2$': $tType ).

tff(type_def_80,type,
    'A_a_prod_ell2_b_b_prod_ell2_cblinfun$': $tType ).

tff(type_def_81,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$': $tType ).

tff(type_def_82,type,
    'B_ell2_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_83,type,
    'D_ell2_c_ell2_cblinfun$': $tType ).

tff(type_def_84,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_85,type,
    'A_c_prod_ell2_set$': $tType ).

tff(type_def_86,type,
    'D_ell2_set$': $tType ).

tff(type_def_87,type,
    'A_ell2_b_ell2_fun$': $tType ).

tff(type_def_88,type,
    'B_d_prod_ell2_bool_fun$': $tType ).

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

tff(type_def_90,type,
    'A_c_prod_ell2_bool_fun$': $tType ).

tff(type_def_91,type,
    'B_d_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_92,type,
    'C_c_prod_ell2_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_93,type,
    'D_ell2_complex_prod$': $tType ).

tff(type_def_94,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$': $tType ).

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

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

tff(type_def_97,type,
    'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_set$': $tType ).

tff(type_def_98,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$': $tType ).

tff(type_def_99,type,
    'C_ell2_a_ell2_cblinfun$': $tType ).

tff(type_def_100,type,
    'B_d_prod_ell2_ccsubspace$': $tType ).

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

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

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

tff(type_def_104,type,
    'B_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff(type_def_105,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$': $tType ).

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

tff(type_def_107,type,
    'A_ell2$': $tType ).

tff(type_def_108,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$': $tType ).

tff(type_def_109,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$': $tType ).

tff(type_def_110,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$': $tType ).

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

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

tff(type_def_113,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$': $tType ).

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

tff(type_def_115,type,
    'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$': $tType ).

tff(type_def_116,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$': $tType ).

tff(type_def_117,type,
    'A_c_prod_a_prod_ell2$': $tType ).

tff(type_def_118,type,
    'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$': $tType ).

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

tff(type_def_120,type,
    'C_ell2_b_ell2_cblinfun$': $tType ).

tff(type_def_121,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$': $tType ).

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

tff(type_def_123,type,
    'A_c_prod_ell2_itself$': $tType ).

tff(type_def_124,type,
    'C_a_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff(type_def_125,type,
    'C_a_prod_ell2$': $tType ).

tff(type_def_126,type,
    'D_ell2_a_c_prod_ell2_cblinfun$': $tType ).

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

tff(type_def_128,type,
    'C_ell2_set$': $tType ).

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

tff(type_def_130,type,
    'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$': $tType ).

tff(type_def_131,type,
    'C_a_prod_ell2_b_d_prod_ell2_cblinfun$': $tType ).

tff(type_def_132,type,
    'B_ell2_a_ell2_cblinfun$': $tType ).

tff(type_def_133,type,
    'A_c_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff(type_def_134,type,
    'D_ell2_d_ell2_prod$': $tType ).

tff(type_def_135,type,
    'C_c_prod_ell2_a_c_prod_ell2_cblinfun$': $tType ).

tff(type_def_136,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$': $tType ).

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

tff(type_def_138,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$': $tType ).

tff(type_def_139,type,
    'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$': $tType ).

tff(type_def_140,type,
    'D_ell2_d_ell2_cblinfun$': $tType ).

tff(type_def_141,type,
    'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$': $tType ).

tff(type_def_142,type,
    'A_ell2_d_ell2_cblinfun$': $tType ).

tff(type_def_143,type,
    'A_ell2_b_ell2_cblinfun$': $tType ).

tff(type_def_144,type,
    'A_ell2_c_ell2_cblinfun$': $tType ).

tff(type_def_145,type,
    'B_d_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun$': $tType ).

tff(type_def_146,type,
    'A_c_prod_a_c_prod_prod_ell2$': $tType ).

tff(type_def_147,type,
    'B_ell2$': $tType ).

tff(type_def_148,type,
    'B_d_prod_ell2$': $tType ).

tff(type_def_149,type,
    'A_c_prod_ell2_complex_prod$': $tType ).

tff(type_def_150,type,
    'C_c_prod_ell2_d_d_prod_ell2_cblinfun$': $tType ).

tff(func_def_0,type,
    'less_eq$a': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ).

tff(func_def_1,type,
    'tensor_op$l': ( 'B_ell2_a_ell2_cblinfun$' * 'D_ell2_c_ell2_cblinfun$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_2,type,
    'cblinfun_extension$e': ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_3,type,
    'image$d': ( 'A_c_prod_a_c_prod_fun$' * 'A_c_prod_set$' ) > 'A_c_prod_set$' ).

tff(func_def_4,type,
    'tensor_ell2$j': ( 'A_c_prod_ell2$' * 'C_ell2$' ) > 'A_c_prod_c_prod_ell2$' ).

tff(func_def_5,type,
    'pair$c': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_6,type,
    'fst$e': 'A_c_prod$' > 'A$' ).

tff(func_def_7,type,
    'cspan$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_8,type,
    'cblinfun_apply$ab': ( 'D_ell2_b_d_prod_ell2_cblinfun$' * 'D_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_9,type,
    'tensor_op$k': ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_a_prod_ell2_b_b_prod_ell2_cblinfun$' ).

tff(func_def_10,type,
    'cblinfun_apply$d': ( 'C_a_prod_ell2_b_d_prod_ell2_cblinfun$' * 'C_a_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_11,type,
    'plus$aa': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' ).

tff(func_def_12,type,
    'collect$': 'C_a_prod_bool_fun$' > 'C_a_prod_set$' ).

tff(func_def_13,type,
    'tensor_ell2$l': ( 'C_ell2$' * 'A_c_prod_ell2$' ) > 'C_a_c_prod_prod_ell2$' ).

tff(func_def_14,type,
    'plus$v': ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_set$' ) > 'B_d_prod_ell2_set$' ).

tff(func_def_15,type,
    'fst$h': 'D_ell2_complex_prod$' > 'D_ell2$' ).

tff(func_def_16,type,
    'cblinfun_apply$f': ( 'A_ell2_d_ell2_cblinfun$' * 'A_ell2$' ) > 'D_ell2$' ).

tff(func_def_17,type,
    'pair$s': ( 'C$' * 'A_c_prod$' ) > 'C_a_c_prod_prod$' ).

tff(func_def_18,type,
    'cblinfun_apply$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$' ).

tff(func_def_19,type,
    'fst$': 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_20,type,
    'snd$f': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_21,type,
    'plus$r': ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_22,type,
    'tensor_ell2$d': ( 'D_ell2$' * 'B_ell2$' ) > 'D_b_prod_ell2$' ).

tff(func_def_23,type,
    'cblinfun_apply$i': ( 'A_ell2_c_ell2_cblinfun$' * 'A_ell2$' ) > 'C_ell2$' ).

tff(func_def_24,type,
    'minus$a': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_25,type,
    'fun_app$aj': ( 'A_c_prod_a_c_prod_fun$' * 'A_c_prod$' ) > 'A_c_prod$' ).

tff(func_def_26,type,
    'image$b': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_27,type,
    'snd$l': 'Complex_a_c_prod_ell2_prod$' > 'A_c_prod_ell2$' ).

tff(func_def_28,type,
    'image$c': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_29,type,
    'plus$j': ( 'Complex_d_ell2_prod$' * 'Complex_d_ell2_prod$' ) > 'Complex_d_ell2_prod$' ).

tff(func_def_30,type,
    'fun_app$q': ( 'A_c_a_c_prod_fun_fun$' * 'A$' ) > 'C_a_c_prod_fun$' ).

tff(func_def_31,type,
    'fst$f': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_32,type,
    'cblinfun_apply$y': ( 'D_ell2_c_ell2_cblinfun$' * 'D_ell2$' ) > 'C_ell2$' ).

tff(func_def_33,type,
    'ket$m': 'C_a_c_prod_prod$' > 'C_a_c_prod_prod_ell2$' ).

tff(func_def_34,type,
    'b2$': 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_35,type,
    'tensor_op$n': ( 'B_ell2_a_c_prod_ell2_cblinfun$' * 'D_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun$' ).

tff(func_def_36,type,
    'pair$k': ( 'A_c_prod$' * 'A_c_prod$' ) > 'A_c_prod_a_c_prod_prod$' ).

tff(func_def_37,type,
    'tensor_op$g': ( 'C_ell2_b_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_38,type,
    'cblinfun_apply$ai': ( 'Complex_complex_cblinfun$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_39,type,
    'plus$f': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_40,type,
    'apfst$': ( 'A_a_fun$' * 'A_c_prod$' ) > 'A_c_prod$' ).

tff(func_def_41,type,
    'fun_app$l': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_fun$' ).

tff(func_def_42,type,
    'tensor_ell2$': ( 'B_ell2$' * 'D_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_43,type,
    'ket$f': 'C_c_prod$' > 'C_c_prod_ell2$' ).

tff(func_def_44,type,
    'cblinfun_extension$b': ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_fun$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_45,type,
    'plus$d': ( 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' * 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_46,type,
    'cblinfun_apply$l': ( 'C_ell2_c_ell2_cblinfun$' * 'C_ell2$' ) > 'C_ell2$' ).

tff(func_def_47,type,
    'cblinfun_apply$ah': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_48,type,
    'plus$s': ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2_b_ell2_cblinfun$' ).

tff(func_def_49,type,
    'cblinfun_apply$af': ( 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_50,type,
    'pair$m': ( 'A$' * 'A$' ) > 'A_a_prod$' ).

tff(func_def_51,type,
    'fun_app$t': ( 'A_ell2_b_ell2_fun$' * 'A_ell2$' ) > 'B_ell2$' ).

tff(func_def_52,type,
    'collect$c': 'A_c_prod_ell2_bool_fun$' > 'A_c_prod_ell2_set$' ).

tff(func_def_53,type,
    'cblinfun_apply$ag': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_54,type,
    'tensor_op$b': ( 'C_ell2_b_ell2_cblinfun$' * 'A_ell2_d_ell2_cblinfun$' ) > 'C_a_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_55,type,
    'fun_app$u': ( 'C_ell2_d_ell2_fun$' * 'C_ell2$' ) > 'D_ell2$' ).

tff(func_def_56,type,
    'tensor_op$d': ( 'C_ell2_a_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'C_c_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_57,type,
    'fun_app$al': ( 'C_c_fun$' * 'C$' ) > 'C$' ).

tff(func_def_58,type,
    'ccspan$a': 'B_d_prod_ell2_set$' > 'B_d_prod_ell2_ccsubspace$' ).

tff(func_def_59,type,
    'tensor_ell2$b': ( 'A_ell2$' * 'C_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_60,type,
    'unitary$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ).

tff(func_def_61,type,
    'fun_app$ak': ( 'A_a_fun$' * 'A$' ) > 'A$' ).

tff(func_def_62,type,
    'cblinfun_apply$g': ( 'A_a_prod_ell2_a_c_prod_ell2_cblinfun$' * 'A_a_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_63,type,
    'id$': 'A_c_prod_a_c_prod_fun$' ).

tff(func_def_64,type,
    'cblinfun_extension$a': ( 'A_c_prod_a_c_prod_prod_ell2_set$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' ) > 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ).

tff(func_def_65,type,
    'b1$': 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_66,type,
    'uu$': 'C_a_prod_set$' > 'C_a_prod_bool_fun$' ).

tff(func_def_67,type,
    'case_prod$': 'A_c_a_c_prod_fun_fun$' > 'A_c_prod_a_c_prod_fun$' ).

tff(func_def_68,type,
    'tensor_ell2$i': ( 'A_c_prod_ell2$' * 'A_ell2$' ) > 'A_c_prod_a_prod_ell2$' ).

tff(func_def_69,type,
    'cblinfun_apply$s': 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' > 'B_d_prod_ell2_a_c_prod_ell2_fun$' ).

tff(func_def_70,type,
    'cblinfun_apply$j': ( 'C_c_prod_ell2_a_c_prod_ell2_cblinfun$' * 'C_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_71,type,
    'plus$u': ( 'B_d_prod_ell2$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_72,type,
    'i$': 'A$' ).

tff(func_def_73,type,
    'swap$e': 'C_a_prod_a_c_prod_fun$' ).

tff(func_def_74,type,
    'fun_app$ad': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_bool_fun$' ).

tff(func_def_75,type,
    'plus$l': ( 'A_c_prod_ell2_complex_prod$' * 'A_c_prod_ell2_complex_prod$' ) > 'A_c_prod_ell2_complex_prod$' ).

tff(func_def_76,type,
    'swap$b': 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_77,type,
    'snd$e': 'A_c_prod$' > 'C$' ).

tff(func_def_78,type,
    'plus$p': ( 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ).

tff(func_def_79,type,
    'ket$': 'A_c_prod_a_c_prod_ell2_fun$' ).

tff(func_def_80,type,
    'image$e': ( 'A_c_prod_ell2_b_d_prod_ell2_fun$' * 'A_c_prod_ell2_set$' ) > 'B_d_prod_ell2_set$' ).

tff(func_def_81,type,
    'image$f': ( 'A_c_prod_a_c_prod_ell2_fun$' * 'A_c_prod_set$' ) > 'A_c_prod_ell2_set$' ).

tff(func_def_82,type,
    'cblinfun_apply$w': ( 'A_a_prod_ell2_b_b_prod_ell2_cblinfun$' * 'A_a_prod_ell2$' ) > 'B_b_prod_ell2$' ).

tff(func_def_83,type,
    'ket$g': 'B_d_prod$' > 'B_d_prod_ell2$' ).

tff(func_def_84,type,
    'heterogenous_cblinfun_id$a': 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_85,type,
    'minus$e': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_86,type,
    'pair$h': ( 'D_ell2$' * 'D_ell2$' ) > 'D_ell2_d_ell2_prod$' ).

tff(func_def_87,type,
    'top$e': 'A_c_prod_ell2_ccsubspace$' ).

tff(func_def_88,type,
    'cblinfun_apply$a': 'A_ell2_b_ell2_cblinfun$' > 'A_ell2_b_ell2_fun$' ).

tff(func_def_89,type,
    'plus$ac': ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' ) > 'C_ell2_d_ell2_cblinfun_set_set$' ).

tff(func_def_90,type,
    'ket$h': 'B$' > 'B_ell2$' ).

tff(func_def_91,type,
    'uua$': 'A_c_prod_set$' > 'A_c_prod_bool_fun$' ).

tff(func_def_92,type,
    'tensor_ell2$h': ( 'C_ell2$' * 'A_ell2$' ) > 'C_a_prod_ell2$' ).

tff(func_def_93,type,
    'uug$': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_complex_fun$' ).

tff(func_def_94,type,
    'a$': 'A_ell2_b_ell2_cblinfun$' ).

tff(func_def_95,type,
    'plus$af': ( 'C_ell2$' * 'C_ell2$' ) > 'C_ell2$' ).

tff(func_def_96,type,
    'fun_app$ai': ( 'C_a_prod_a_c_prod_fun$' * 'C_a_prod$' ) > 'A_c_prod$' ).

tff(func_def_97,type,
    'tensor_ell2$e': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_98,type,
    'type$': 'B_d_prod_ell2_itself$' ).

tff(func_def_99,type,
    'pair$r': ( 'A$' * 'A_c_prod$' ) > 'A_a_c_prod_prod$' ).

tff(func_def_100,type,
    'fun_app$s': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$' ).

tff(func_def_101,type,
    'cblinfun_apply$m': ( 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_102,type,
    'plus$h': ( 'D_ell2_complex_prod$' * 'D_ell2_complex_prod$' ) > 'D_ell2_complex_prod$' ).

tff(func_def_103,type,
    'fst$k': 'A_c_prod_ell2_complex_prod$' > 'A_c_prod_ell2$' ).

tff(func_def_104,type,
    'tensor_ell2$f': ( 'A_ell2$' * 'A_ell2$' ) > 'A_a_prod_ell2$' ).

tff(func_def_105,type,
    'fst$i': 'Complex_d_ell2_prod$' > 'Complex$' ).

tff(func_def_106,type,
    'elt_set_plus$a': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_107,type,
    'snd$g': 'Complex_complex_prod$' > 'Complex$' ).

tff(func_def_108,type,
    'tensor_op$h': ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_c_prod_ell2_d_d_prod_ell2_cblinfun$' ).

tff(func_def_109,type,
    'cblinfun_apply$v': ( 'D_ell2_d_ell2_cblinfun$' * 'D_ell2$' ) > 'D_ell2$' ).

tff(func_def_110,type,
    'swap$c': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_111,type,
    'elt_set_plus$': ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_112,type,
    'plus$ab': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_113,type,
    'image$': ( 'A_c_prod_c_a_prod_fun$' * 'A_c_prod_set$' ) > 'C_a_prod_set$' ).

tff(func_def_114,type,
    'closure$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_115,type,
    'cspan$a': 'C_ell2_d_ell2_cblinfun_set$' > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_116,type,
    'collect$a': 'A_c_prod_bool_fun$' > 'A_c_prod_set$' ).

tff(func_def_117,type,
    'snd$b': 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_118,type,
    'isometry$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ).

tff(func_def_119,type,
    'fun_app$m': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_120,type,
    'fst$a': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_121,type,
    'uuc$': 'A_c_prod_ell2_set$' > 'A_c_prod_ell2_bool_fun$' ).

tff(func_def_122,type,
    'pair$i': ( 'A_c_prod_ell2$' * 'Complex$' ) > 'A_c_prod_ell2_complex_prod$' ).

tff(func_def_123,type,
    'ccspan$': 'A_c_prod_ell2_set$' > 'A_c_prod_ell2_ccsubspace$' ).

tff(func_def_124,type,
    'pair$g': ( 'Complex$' * 'D_ell2$' ) > 'Complex_d_ell2_prod$' ).

tff(func_def_125,type,
    'image$a': ( 'C_a_prod_a_c_prod_fun$' * 'C_a_prod_set$' ) > 'A_c_prod_set$' ).

tff(func_def_126,type,
    'uub$': 'B_d_prod_ell2_set$' > 'B_d_prod_ell2_bool_fun$' ).

tff(func_def_127,type,
    'plus$': ( 'Complex$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_128,type,
    'snd$a': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_129,type,
    'minus$f': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_130,type,
    'tensor_op$f': ( 'C_ell2_a_ell2_cblinfun$' * 'A_ell2_c_ell2_cblinfun$' ) > 'C_a_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_131,type,
    'zero$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_132,type,
    'swap$': 'A_c_prod_a_c_prod_prod$' > 'A_c_prod_a_c_prod_prod$' ).

tff(func_def_133,type,
    'fst$g': 'Complex_complex_prod$' > 'Complex$' ).

tff(func_def_134,type,
    'snd$h': 'D_ell2_complex_prod$' > 'Complex$' ).

tff(func_def_135,type,
    'plus$o': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ).

tff(func_def_136,type,
    'collect$b': 'B_d_prod_ell2_bool_fun$' > 'B_d_prod_ell2_set$' ).

tff(func_def_137,type,
    'cblinfun_apply$e': ( 'C_ell2_b_ell2_cblinfun$' * 'C_ell2$' ) > 'B_ell2$' ).

tff(func_def_138,type,
    'plus$a': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$' ).

tff(func_def_139,type,
    'divide$': 'C_ell2_d_ell2_cblinfun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ).

tff(func_def_140,type,
    'uud$': 'A_set$' > 'A_bool_fun$' ).

tff(func_def_141,type,
    'fun_app$w': ( 'B_d_prod_ell2_a_c_prod_ell2_fun$' * 'B_d_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_142,type,
    'plus$x': ( 'D_ell2_set$' * 'D_ell2_set$' ) > 'D_ell2_set$' ).

tff(func_def_143,type,
    'cinner$': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'Complex$' ).

tff(func_def_144,type,
    'fun_app$ac': ( 'A_c_bool_fun_fun$' * 'A$' ) > 'C_bool_fun$' ).

tff(func_def_145,type,
    'collect$d': 'A_bool_fun$' > 'A_set$' ).

tff(func_def_146,type,
    'fun_app$am': ( 'A_c_fun$' * 'A$' ) > 'C$' ).

tff(func_def_147,type,
    'closure$': 'A_c_prod_ell2_set$' > 'A_c_prod_ell2_set$' ).

tff(func_def_148,type,
    'cblinfun_apply$q': ( 'C_a_prod_ell2_d_b_prod_ell2_cblinfun$' * 'C_a_prod_ell2$' ) > 'D_b_prod_ell2$' ).

tff(func_def_149,type,
    'uuf$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_150,type,
    'minus$g': ( 'Complex$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_151,type,
    'fst$j': 'D_ell2_d_ell2_prod$' > 'D_ell2$' ).

tff(func_def_152,type,
    'closure$a': 'C_ell2_d_ell2_cblinfun_set$' > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_153,type,
    'pair$a': ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_154,type,
    'snd$j': 'D_ell2_d_ell2_prod$' > 'D_ell2$' ).

tff(func_def_155,type,
    'plus$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$' ).

tff(func_def_156,type,
    'fun_app$p': ( 'C_a_c_prod_fun$' * 'C$' ) > 'A_c_prod$' ).

tff(func_def_157,type,
    'minus$c': ( 'B_d_prod_ell2$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_158,type,
    'tensor_op$c': ( 'A_ell2_a_ell2_cblinfun$' * 'A_ell2_c_ell2_cblinfun$' ) > 'A_a_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_159,type,
    'zero$d': 'Complex$' ).

tff(func_def_160,type,
    'cblinfun_apply$aa': ( 'B_ell2_b_d_prod_ell2_cblinfun$' * 'B_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_161,type,
    'minus$d': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_162,type,
    'cblinfun_apply$ad': ( 'B_ell2_a_c_prod_ell2_cblinfun$' * 'B_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_163,type,
    'plus$m': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_164,type,
    'plus$z': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_165,type,
    'plus$k': ( 'D_ell2_d_ell2_prod$' * 'D_ell2_d_ell2_prod$' ) > 'D_ell2_d_ell2_prod$' ).

tff(func_def_166,type,
    'cblinfun_apply$ae': ( 'D_ell2_a_c_prod_ell2_cblinfun$' * 'D_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_167,type,
    'pair$': 'A_c_a_c_prod_fun_fun$' ).

tff(func_def_168,type,
    'fun_app$n': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ).

tff(func_def_169,type,
    'scaleC$a': ( 'Complex$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_170,type,
    'heterogenous_cblinfun_id$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_171,type,
    'top$b': 'A_c_prod_ell2_set$' ).

tff(func_def_172,type,
    'tensor_ell2$g': ( 'C_ell2$' * 'C_ell2$' ) > 'C_c_prod_ell2$' ).

tff(func_def_173,type,
    'cblinfun_apply$b': 'C_ell2_d_ell2_cblinfun$' > 'C_ell2_d_ell2_fun$' ).

tff(func_def_174,type,
    'cblinfun_apply$t': ( 'B_d_prod_ell2_b_d_prod_ell2_cblinfun$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_175,type,
    'top$a': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_176,type,
    'fst$l': 'Complex_a_c_prod_ell2_prod$' > 'Complex$' ).

tff(func_def_177,type,
    'fun_app$af': ( 'A_c_prod_a_c_prod_bool_fun_fun$' * 'A_c_prod$' ) > 'A_c_prod_bool_fun$' ).

tff(func_def_178,type,
    'tensor_op$a': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ).

tff(func_def_179,type,
    'zero$': 'B_d_prod_ell2$' ).

tff(func_def_180,type,
    'tensor_op$': ( 'A_ell2_b_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_181,type,
    'fun_app$v': ( 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' * 'A_c_prod_a_c_prod_prod_ell2$' ) > 'B_d_prod_b_d_prod_prod_ell2$' ).

tff(func_def_182,type,
    'swap$d': 'A_c_prod_c_a_prod_fun$' ).

tff(func_def_183,type,
    'less_eq$': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_184,type,
    'curry$c': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_185,type,
    'tensor_op$e': ( 'A_ell2_a_ell2_cblinfun$' * 'C_ell2_c_ell2_cblinfun$' ) > 'A_c_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_186,type,
    'map_prod$': ( 'A_a_fun$' * 'C_c_fun$' ) > 'A_c_prod_a_c_prod_fun$' ).

tff(func_def_187,type,
    'tensor_op$m': ( 'B_ell2_b_d_prod_ell2_cblinfun$' * 'D_ell2_b_d_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ).

tff(func_def_188,type,
    'fst$c': 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_189,type,
    'fun_app$j': ( 'C_ell2_d_ell2_cblinfun_complex_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'Complex$' ).

tff(func_def_190,type,
    'cblinfun_extension$': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ).

tff(func_def_191,type,
    'tensor_ell2$k': ( 'A_ell2$' * 'A_c_prod_ell2$' ) > 'A_a_c_prod_prod_ell2$' ).

tff(func_def_192,type,
    'pair$o': ( 'B$' * 'D$' ) > 'B_d_prod$' ).

tff(func_def_193,type,
    'cblinfun_apply$z': ( 'B_d_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * 'B_d_prod_ell2$' ) > 'B_d_prod_b_d_prod_prod_ell2$' ).

tff(func_def_194,type,
    'prod_right$': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_195,type,
    'pair$n': ( 'C$' * 'C$' ) > 'C_c_prod$' ).

tff(func_def_196,type,
    'pair$l': ( 'C$' * 'A$' ) > 'C_a_prod$' ).

tff(func_def_197,type,
    'prod_left$': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_b_d_prod_ell2_cblinfun$' ).

tff(func_def_198,type,
    'ket$i': 'D$' > 'D_ell2$' ).

tff(func_def_199,type,
    'cblinfun_extension$d': ( 'A_ell2_set$' * 'A_ell2_b_ell2_fun$' ) > 'A_ell2_b_ell2_cblinfun$' ).

tff(func_def_200,type,
    'cblinfun_apply$ak': ( 'Complex_d_ell2_cblinfun$' * 'Complex$' ) > 'D_ell2$' ).

tff(func_def_201,type,
    'cblinfun_apply$aj': ( 'D_ell2_complex_cblinfun$' * 'D_ell2$' ) > 'Complex$' ).

tff(func_def_202,type,
    'top$d': 'A_c_prod_set$' ).

tff(func_def_203,type,
    'fst$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_204,type,
    'snd$': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_205,type,
    'curry$': 'A_c_prod_bool_fun$' > 'A_c_bool_fun_fun$' ).

tff(func_def_206,type,
    'ket$c': 'A_c_prod_a_c_prod_prod$' > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_207,type,
    'cblinfun_image$': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_ccsubspace$' ) > 'B_d_prod_ell2_ccsubspace$' ).

tff(func_def_208,type,
    'curry$a': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_209,type,
    'pair$b': ( 'C_ell2_d_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_210,type,
    'top$': 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_211,type,
    'plus$n': ( 'Complex_a_c_prod_ell2_prod$' * 'Complex_a_c_prod_ell2_prod$' ) > 'Complex_a_c_prod_ell2_prod$' ).

tff(func_def_212,type,
    'plus$ae': ( 'A_c_prod_a_c_prod_prod_ell2$' * 'A_c_prod_a_c_prod_prod_ell2$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_213,type,
    'fun_app$ah': ( 'A_c_prod_c_a_prod_fun$' * 'A_c_prod$' ) > 'C_a_prod$' ).

tff(func_def_214,type,
    'fun_app$o': ( 'A_c_prod_a_c_prod_ell2_fun$' * 'A_c_prod$' ) > 'A_c_prod_ell2$' ).

tff(func_def_215,type,
    'ket$a': 'A$' > 'A_ell2$' ).

tff(func_def_216,type,
    'cblinfun_apply$o': ( 'C_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'C_c_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_217,type,
    'pair$f': ( 'D_ell2$' * 'Complex$' ) > 'D_ell2_complex_prod$' ).

tff(func_def_218,type,
    'cblinfun_apply$c': 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' > 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' ).

tff(func_def_219,type,
    'cblinfun_apply$r': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ).

tff(func_def_220,type,
    'plus$g': ( 'Complex_complex_prod$' * 'Complex_complex_prod$' ) > 'Complex_complex_prod$' ).

tff(func_def_221,type,
    'cblinfun_apply$p': ( 'C_c_prod_ell2_d_d_prod_ell2_cblinfun$' * 'C_c_prod_ell2$' ) > 'D_d_prod_ell2$' ).

tff(func_def_222,type,
    'cblinfun_apply$ac': ( 'B_d_prod_ell2_a_c_prod_a_c_prod_prod_ell2_cblinfun$' * 'B_d_prod_ell2$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_223,type,
    'tensor_op$i': ( 'C_ell2_d_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'C_a_prod_ell2_d_b_prod_ell2_cblinfun$' ).

tff(func_def_224,type,
    'plus$i': ( 'D_ell2$' * 'D_ell2$' ) > 'D_ell2$' ).

tff(func_def_225,type,
    'cblinfun_apply$h': ( 'A_ell2_a_ell2_cblinfun$' * 'A_ell2$' ) > 'A_ell2$' ).

tff(func_def_226,type,
    'ket$d': 'C_a_prod$' > 'C_a_prod_ell2$' ).

tff(func_def_227,type,
    'top$c': 'B_d_prod_ell2_set$' ).

tff(func_def_228,type,
    'snd$i': 'Complex_d_ell2_prod$' > 'D_ell2$' ).

tff(func_def_229,type,
    'cspan$c': 'B_d_prod_ell2_set$' > 'B_d_prod_ell2_set$' ).

tff(func_def_230,type,
    'pair$q': ( 'A_c_prod$' * 'C$' ) > 'A_c_prod_c_prod$' ).

tff(func_def_231,type,
    'minus$': ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_232,type,
    'uuh$': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_complex_fun$' ).

tff(func_def_233,type,
    'plus$ad': ( 'A_ell2$' * 'A_ell2$' ) > 'A_ell2$' ).

tff(func_def_234,type,
    'tensor_ell2$a': ( 'B_d_prod_ell2$' * 'B_d_prod_ell2$' ) > 'B_d_prod_b_d_prod_prod_ell2$' ).

tff(func_def_235,type,
    'fun_app$ae': ( 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ).

tff(func_def_236,type,
    'ket$e': 'A_a_prod$' > 'A_a_prod_ell2$' ).

tff(func_def_237,type,
    'tensor_ell2$m': ( 'B_ell2$' * 'B_ell2$' ) > 'B_b_prod_ell2$' ).

tff(func_def_238,type,
    'apsnd$': ( 'C_c_fun$' * 'A_c_prod$' ) > 'A_c_prod$' ).

tff(func_def_239,type,
    'snd$c': 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_240,type,
    'fun_app$f': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ).

tff(func_def_241,type,
    'uue$': 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_242,type,
    'pair$d': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_243,type,
    'plus$w': ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2_set$' ).

tff(func_def_244,type,
    'fun_app$k': ( 'A_c_prod_ell2_b_d_prod_ell2_fun$' * 'A_c_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_245,type,
    'divide$a': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_246,type,
    'curry$d': 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod_a_c_prod_bool_fun_fun$' ).

tff(func_def_247,type,
    'plus$e': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_248,type,
    'type$a': 'A_c_prod_ell2_itself$' ).

tff(func_def_249,type,
    'in_rel$': 'A_c_prod_set$' > 'A_c_bool_fun_fun$' ).

tff(func_def_250,type,
    'ket$b': 'C$' > 'C_ell2$' ).

tff(func_def_251,type,
    'pair$p': ( 'A_c_prod$' * 'A$' ) > 'A_c_prod_a_prod$' ).

tff(func_def_252,type,
    'tensor_op$j': ( 'B_ell2_b_ell2_cblinfun$' * 'D_ell2_d_ell2_cblinfun$' ) > 'B_d_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_253,type,
    'minus$b': 'C_ell2_d_ell2_cblinfun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ).

tff(func_def_254,type,
    'plus$c': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_255,type,
    'cblinfun_apply$k': ( 'C_ell2_a_ell2_cblinfun$' * 'C_ell2$' ) > 'A_ell2$' ).

tff(func_def_256,type,
    'tensor_ell2$c': ( 'D_ell2$' * 'D_ell2$' ) > 'D_d_prod_ell2$' ).

tff(func_def_257,type,
    'zero$c': 'A_c_prod_ell2$' ).

tff(func_def_258,type,
    'scaleC$b': ( 'Complex$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_259,type,
    'ket$k': 'A_c_prod_c_prod$' > 'A_c_prod_c_prod_ell2$' ).

tff(func_def_260,type,
    'cblinfun_apply$u': ( 'B_ell2_b_ell2_cblinfun$' * 'B_ell2$' ) > 'B_ell2$' ).

tff(func_def_261,type,
    'swap$a': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_262,type,
    'crepresentation$a': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_complex_fun$' ).

tff(func_def_263,type,
    'cspan$': 'A_c_prod_ell2_set$' > 'A_c_prod_ell2_set$' ).

tff(func_def_264,type,
    'ket$l': 'A_a_c_prod_prod$' > 'A_a_c_prod_prod_ell2$' ).

tff(func_def_265,type,
    'curry$e': 'C_a_prod_bool_fun$' > 'C_a_bool_fun_fun$' ).

tff(func_def_266,type,
    'pair$j': ( 'Complex$' * 'A_c_prod_ell2$' ) > 'Complex_a_c_prod_ell2_prod$' ).

tff(func_def_267,type,
    'plus$y': ( 'Complex_set$' * 'Complex_set$' ) > 'Complex_set$' ).

tff(func_def_268,type,
    'snd$d': 'C_a_prod$' > 'A$' ).

tff(func_def_269,type,
    'cinner$a': ( 'B_d_prod_ell2$' * 'B_d_prod_ell2$' ) > 'Complex$' ).

tff(func_def_270,type,
    'fun_app$i': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_complex_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'Complex$' ).

tff(func_def_271,type,
    'plus$q': ( 'B_d_prod_b_d_prod_prod_ell2$' * 'B_d_prod_b_d_prod_prod_ell2$' ) > 'B_d_prod_b_d_prod_prod_ell2$' ).

tff(func_def_272,type,
    'gr$': ( 'A_set$' * 'A_c_fun$' ) > 'A_c_prod_set$' ).

tff(func_def_273,type,
    'fun_app$r': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_274,type,
    'scaleC$c': 'Complex$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ).

tff(func_def_275,type,
    'pair$e': ( 'Complex$' * 'Complex$' ) > 'Complex_complex_prod$' ).

tff(func_def_276,type,
    'curry$b': 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' ).

tff(func_def_277,type,
    'cblinfun_extension$c': ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_278,type,
    'cblinfun_apply$x': ( 'B_ell2_a_ell2_cblinfun$' * 'B_ell2$' ) > 'A_ell2$' ).

tff(func_def_279,type,
    'fun_app$h': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun_bool_fun$' ).

tff(func_def_280,type,
    'fun_app$ag': ( 'C_a_bool_fun_fun$' * 'C$' ) > 'A_bool_fun$' ).

tff(func_def_281,type,
    'rel_fun$c': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_bool_fun_fun$' ).

tff(func_def_282,type,
    'scaleC$': ( 'Complex$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_283,type,
    'plus$t': ( 'B_ell2$' * 'B_ell2$' ) > 'B_ell2$' ).

tff(func_def_284,type,
    'rel_fun$a': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_bool_fun_fun$' ).

tff(func_def_285,type,
    'j$': 'C$' ).

tff(func_def_286,type,
    'fst$d': 'C_a_prod$' > 'C$' ).

tff(func_def_287,type,
    'cblinfun_apply$al': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).

tff(func_def_288,type,
    'snd$k': 'A_c_prod_ell2_complex_prod$' > 'Complex$' ).

tff(func_def_289,type,
    'zero$a': 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_290,type,
    'cblinfun_apply$n': ( 'C_a_prod_ell2_a_c_prod_ell2_cblinfun$' * 'C_a_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_291,type,
    'ket$j': 'A_c_prod_a_prod$' > 'A_c_prod_a_prod_ell2$' ).

tff(func_def_292,type,
    'crepresentation$': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_complex_fun$' ).

tff(func_def_293,type,
    sK25: ( 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_prod$' ).

tff(func_def_294,type,
    sK26: ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod$' ).

tff(func_def_295,type,
    sK27: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C$' ).

tff(func_def_296,type,
    sK28: ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A$' ).

tff(func_def_297,type,
    sK29: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod$' ).

tff(func_def_298,type,
    sK30: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).

tff(func_def_299,type,
    sK31: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A$' ).

tff(func_def_300,type,
    sK32: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'C$' ).

tff(func_def_301,type,
    sK33: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_302,type,
    sK34: 'A_c_prod_a_c_prod_prod$' > 'A$' ).

tff(func_def_303,type,
    sK35: 'A_c_prod_a_c_prod_prod$' > 'C$' ).

tff(func_def_304,type,
    sK36: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_305,type,
    sK37: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_306,type,
    sK38: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_307,type,
    sK39: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_308,type,
    sK40: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_309,type,
    sK41: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_310,type,
    sK42: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).

tff(func_def_311,type,
    sK43: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).

tff(func_def_312,type,
    sK44: 'C_a_prod_bool_fun$' > 'C$' ).

tff(func_def_313,type,
    sK45: 'C_a_prod_bool_fun$' > 'A$' ).

tff(func_def_314,type,
    sK46: 'A_c_prod_bool_fun$' > 'A$' ).

tff(func_def_315,type,
    sK47: 'A_c_prod_bool_fun$' > 'C$' ).

tff(func_def_316,type,
    sK48: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_317,type,
    sK49: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_318,type,
    sK50: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_319,type,
    sK51: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_320,type,
    sK52: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_321,type,
    sK53: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_322,type,
    sK54: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_323,type,
    sK55: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_324,type,
    sK56: 'C_a_prod$' > 'C$' ).

tff(func_def_325,type,
    sK57: 'C_a_prod$' > 'A$' ).

tff(func_def_326,type,
    sK58: 'A_c_prod$' > 'A$' ).

tff(func_def_327,type,
    sK59: 'A_c_prod$' > 'C$' ).

tff(func_def_328,type,
    sK60: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_329,type,
    sK61: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_330,type,
    sK62: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_331,type,
    sK63: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_332,type,
    sK64: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_333,type,
    sK65: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_334,type,
    sK66: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_335,type,
    sK67: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_336,type,
    sK68: 'C_a_prod$' > 'C$' ).

tff(func_def_337,type,
    sK69: 'C_a_prod$' > 'A$' ).

tff(func_def_338,type,
    sK70: 'A_c_prod$' > 'A$' ).

tff(func_def_339,type,
    sK71: 'A_c_prod$' > 'C$' ).

tff(func_def_340,type,
    sK72: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_set$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_341,type,
    sK73: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_set$' * 'B_d_prod_ell2$' ) > 'B_d_prod_ell2$' ).

tff(func_def_342,type,
    sK74: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_343,type,
    sK75: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2$' ) > 'A_c_prod_ell2$' ).

tff(func_def_344,type,
    sK76: ( 'D_ell2_set$' * 'D_ell2_set$' * 'D_ell2$' ) > 'D_ell2$' ).

tff(func_def_345,type,
    sK77: ( 'D_ell2_set$' * 'D_ell2_set$' * 'D_ell2$' ) > 'D_ell2$' ).

tff(func_def_346,type,
    sK78: ( 'Complex_set$' * 'Complex_set$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_347,type,
    sK79: ( 'Complex_set$' * 'Complex_set$' * 'Complex$' ) > 'Complex$' ).

tff(func_def_348,type,
    sK80: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_349,type,
    sK81: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ).

tff(func_def_350,type,
    sK82: ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_351,type,
    sK83: ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).

tff(func_def_352,type,
    sK84: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_353,type,
    sK85: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_354,type,
    sK86: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_355,type,
    sK87: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_356,type,
    sK88: ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_357,type,
    sK89: ( 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_358,type,
    sK90: ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).

tff(func_def_359,type,
    sK91: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2$' ).

tff(func_def_360,type,
    sK92: ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2$' ).

tff(func_def_361,type,
    sK93: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_362,type,
    sK94: 'A_c_prod_a_c_prod_prod$' > 'A$' ).

tff(func_def_363,type,
    sK95: 'A_c_prod_a_c_prod_prod$' > 'C$' ).

tff(func_def_364,type,
    sK96: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).

tff(func_def_365,type,
    sK97: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_366,type,
    sK98: ( 'A_c_prod_a_c_prod_prod_ell2_set$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_367,type,
    sK99: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_fun$' ) > 'B_d_prod_ell2$' ).

tff(func_def_368,type,
    sK100: ( 'C_ell2_set$' * 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_fun$' ) > 'C_ell2$' ).

tff(func_def_369,type,
    sK101: ( 'A_ell2_set$' * 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_fun$' ) > 'A_ell2$' ).

tff(func_def_370,type,
    sK102: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_371,type,
    sK103: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_372,type,
    sK104: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_373,type,
    sK105: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_374,type,
    sK106: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_375,type,
    sK107: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_376,type,
    sK108: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ).

tff(func_def_377,type,
    sK109: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_378,type,
    sK110: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_379,type,
    sK111: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).

tff(func_def_380,type,
    sK112: 'C_a_bool_fun_fun$' > 'C$' ).

tff(func_def_381,type,
    sK113: 'C_a_bool_fun_fun$' > 'A$' ).

tff(func_def_382,type,
    sK114: 'C_a_bool_fun_fun$' > 'C_a_prod$' ).

tff(func_def_383,type,
    sK115: 'A_c_bool_fun_fun$' > 'A$' ).

tff(func_def_384,type,
    sK116: 'A_c_bool_fun_fun$' > 'C$' ).

tff(func_def_385,type,
    sK117: 'A_c_bool_fun_fun$' > 'A_c_prod$' ).

tff(func_def_386,type,
    sK118: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_387,type,
    sK119: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ) > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ).

tff(func_def_388,type,
    sK120: ( 'A_c_prod_a_c_prod_prod_ell2_set$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ) > 'A_c_prod_a_c_prod_prod_ell2$' ).

tff(func_def_389,type,
    sK121: ( 'A_c_prod_a_c_prod_prod_ell2_set$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' ) > 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' ).

tff(func_def_390,type,
    sK122: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_fun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).

tff(func_def_391,type,
    sK123: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_fun$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).

tff(func_def_392,type,
    sK124: ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2$' ).

tff(func_def_393,type,
    sK125: ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_394,type,
    sK126: ( 'A_ell2_set$' * 'A_ell2_b_ell2_fun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2$' ).

tff(func_def_395,type,
    sK127: ( 'A_ell2_set$' * 'A_ell2_b_ell2_fun$' ) > 'A_ell2_b_ell2_cblinfun$' ).

tff(func_def_396,type,
    sK128: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_397,type,
    sK129: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_398,type,
    sK130: ( 'A_c_prod$' * 'A_c_prod_a_c_prod_prod$' ) > 'A_c_prod$' ).

tff(func_def_399,type,
    sK131: ( 'C_ell2_d_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_400,type,
    sK132: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_401,type,
    sK133: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_402,type,
    sK134: ( 'A$' * 'C_a_prod$' ) > 'C$' ).

tff(func_def_403,type,
    sK135: ( 'C$' * 'A_c_prod$' ) > 'A$' ).

tff(func_def_404,type,
    sK136: ( 'A_c_prod$' * 'A_c_prod_a_c_prod_prod$' ) > 'A_c_prod$' ).

tff(func_def_405,type,
    sK137: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_406,type,
    sK138: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_407,type,
    sK139: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_408,type,
    sK140: ( 'C$' * 'C_a_prod$' ) > 'A$' ).

tff(func_def_409,type,
    sK141: ( 'A$' * 'A_c_prod$' ) > 'C$' ).

tff(func_def_410,type,
    sK142: ( 'A_c_prod$' * 'A_a_fun$' * 'C_c_fun$' * 'A_c_prod_set$' ) > 'A$' ).

tff(func_def_411,type,
    sK143: ( 'A_c_prod$' * 'A_a_fun$' * 'C_c_fun$' * 'A_c_prod_set$' ) > 'C$' ).

tff(func_def_412,type,
    sK144: ( 'A_c_prod$' * 'A_a_fun$' * 'A_c_prod$' ) > 'A$' ).

tff(func_def_413,type,
    sK145: ( 'A_c_prod$' * 'A_a_fun$' * 'A_c_prod$' ) > 'C$' ).

tff(func_def_414,type,
    sK146: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_415,type,
    sK147: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_416,type,
    sK148: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_417,type,
    sK149: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' * 'B_d_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).

tff(func_def_418,type,
    sK150: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' * 'B_d_prod_ell2_set$' ) > 'B_d_prod_ell2$' ).

tff(func_def_419,type,
    sK151: ( 'B_d_prod_ell2$' * 'A_c_prod_ell2$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_420,type,
    sK152: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_421,type,
    sK153: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_422,type,
    sK154: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).

tff(func_def_423,type,
    sK155: ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod$' ).

tff(func_def_424,type,
    sK156: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).

tff(func_def_425,type,
    sK157: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).

tff(func_def_426,type,
    sK158: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).

tff(func_def_427,type,
    sK159: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'Complex$' ).

tff(func_def_428,type,
    sK160: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_429,type,
    sK161: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun$' ).

tff(func_def_430,type,
    sK162: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'Complex$' ).

tff(func_def_431,type,
    sK163: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(func_def_432,type,
    sK164: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).

tff(pred_def_1,type,
    'fun_app$z': ( 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' * 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' ) > $o ).

tff(pred_def_2,type,
    'fun_app$g': ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_3,type,
    'member$h': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' ) > $o ).

tff(pred_def_4,type,
    'fun_app$a': ( 'A_c_prod_bool_fun$' * 'A_c_prod$' ) > $o ).

tff(pred_def_5,type,
    'member$d': ( 'A$' * 'A_set$' ) > $o ).

tff(pred_def_6,type,
    'less_eq$g': ( 'A_c_prod_ell2_ccsubspace$' * 'A_c_prod_ell2_ccsubspace$' ) > $o ).

tff(pred_def_7,type,
    'rel_fun$b': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_bool_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$' ) > $o ).

tff(pred_def_8,type,
    'cdependent$': 'A_c_prod_ell2_set$' > $o ).

tff(pred_def_9,type,
    'nO_MATCH$a': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'Complex$' ) > $o ).

tff(pred_def_10,type,
    'member$a': ( 'A_c_prod$' * 'A_c_prod_set$' ) > $o ).

tff(pred_def_11,type,
    'fun_app$y': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > $o ).

tff(pred_def_12,type,
    'less_eq$b': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_13,type,
    'cdependent$b': 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' > $o ).

tff(pred_def_14,type,
    'cblinfun_extension_exists$b': ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_fun$' ) > $o ).

tff(pred_def_15,type,
    'member$': ( 'C_a_prod$' * 'C_a_prod_set$' ) > $o ).

tff(pred_def_16,type,
    'member$o': ( 'A_c_prod_a_c_prod_prod_ell2$' * 'A_c_prod_a_c_prod_prod_ell2_set$' ) > $o ).

tff(pred_def_17,type,
    'cblinfun_extension_exists$c': ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' ) > $o ).

tff(pred_def_18,type,
    'member$j': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_19,type,
    'member$f': ( 'Complex$' * 'Complex_set$' ) > $o ).

tff(pred_def_20,type,
    'member$l': ( 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' * 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_set$' ) > $o ).

tff(pred_def_21,type,
    'member$q': ( 'A_ell2$' * 'A_ell2_set$' ) > $o ).

tff(pred_def_22,type,
    'less_eq$c': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_23,type,
    'cblinfun_extension_exists$d': ( 'A_ell2_set$' * 'A_ell2_b_ell2_fun$' ) > $o ).

tff(pred_def_24,type,
    'member$e': ( 'D_ell2$' * 'D_ell2_set$' ) > $o ).

tff(pred_def_25,type,
    'heterogenous_same_type_cblinfun$a': ( 'A_c_prod_ell2_itself$' * 'B_d_prod_ell2_itself$' ) > $o ).

tff(pred_def_26,type,
    'cblinfun_extension_exists$': ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$' ) > $o ).

tff(pred_def_27,type,
    'fun_app$x': ( 'A_c_prod_a_c_prod_prod_bool_fun$' * 'A_c_prod_a_c_prod_prod$' ) > $o ).

tff(pred_def_28,type,
    'member$n': ( 'A_c_prod_a_c_prod_prod$' * 'A_c_prod_a_c_prod_prod_set$' ) > $o ).

tff(pred_def_29,type,
    'member$b': ( 'B_d_prod_ell2$' * 'B_d_prod_ell2_set$' ) > $o ).

tff(pred_def_30,type,
    'fun_app$e': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_31,type,
    'member$p': ( 'C_ell2$' * 'C_ell2_set$' ) > $o ).

tff(pred_def_32,type,
    'less_eq$d': ( 'A_c_prod_set$' * 'A_c_prod_set$' ) > $o ).

tff(pred_def_33,type,
    'member$g': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' ) > $o ).

tff(pred_def_34,type,
    'fun_app$b': ( 'B_d_prod_ell2_bool_fun$' * 'B_d_prod_ell2$' ) > $o ).

tff(pred_def_35,type,
    'fun_app$aa': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > $o ).

tff(pred_def_36,type,
    'heterogenous_same_type_cblinfun$': ( 'B_d_prod_ell2_itself$' * 'A_c_prod_ell2_itself$' ) > $o ).

tff(pred_def_37,type,
    'less_eq$f': ( 'Complex$' * 'Complex$' ) > $o ).

tff(pred_def_38,type,
    'cblinfun_extension_exists$a': ( 'A_c_prod_a_c_prod_prod_ell2_set$' * 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$' ) > $o ).

tff(pred_def_39,type,
    'is_ortho_set$': 'A_c_prod_ell2_set$' > $o ).

tff(pred_def_40,type,
    'fun_app$c': ( 'A_c_prod_ell2_bool_fun$' * 'A_c_prod_ell2$' ) > $o ).

tff(pred_def_41,type,
    'rel_fun$': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_bool_fun_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$' ) > $o ).

tff(pred_def_42,type,
    'member$k': ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$' ) > $o ).

tff(pred_def_43,type,
    'nO_MATCH$': ( 'C_ell2_d_ell2_cblinfun$' * 'Complex$' ) > $o ).

tff(pred_def_44,type,
    'fun_app$ab': ( 'C_bool_fun$' * 'C$' ) > $o ).

tff(pred_def_45,type,
    'member$m': ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$' ) > $o ).

tff(pred_def_46,type,
    'cdependent$a': 'C_ell2_d_ell2_cblinfun_set$' > $o ).

tff(pred_def_47,type,
    'fun_app$': ( 'C_a_prod_bool_fun$' * 'C_a_prod$' ) > $o ).

tff(pred_def_48,type,
    'cblinfun_extension_exists$e': ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' ) > $o ).

tff(pred_def_49,type,
    'fun_app$d': ( 'A_bool_fun$' * 'A$' ) > $o ).

tff(pred_def_50,type,
    'member$i': ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_51,type,
    'less_eq$e': ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_52,type,
    'member$c': ( 'A_c_prod_ell2$' * 'A_c_prod_ell2_set$' ) > $o ).

tff(pred_def_53,type,
    sP0: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_set$' * 'B_d_prod_ell2$' ) > $o ).

tff(pred_def_54,type,
    sP1: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2$' ) > $o ).

tff(pred_def_55,type,
    sP2: ( 'D_ell2_set$' * 'D_ell2_set$' * 'D_ell2$' ) > $o ).

tff(pred_def_56,type,
    sP3: ( 'Complex_set$' * 'Complex_set$' * 'Complex$' ) > $o ).

tff(pred_def_57,type,
    sP4: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_58,type,
    sP5: ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_59,type,
    sP6: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_60,type,
    sP7: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_61,type,
    sP8: ( 'B_d_prod_ell2$' * 'A_c_prod_ell2$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2$' ) > $o ).

tff(pred_def_62,type,
    sP9: ( 'A_c_prod_ell2$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2$' * 'B_d_prod_ell2$' ) > $o ).

tff(pred_def_63,type,
    sP10: ( 'B_d_prod_ell2$' * 'A_c_prod_ell2$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_64,type,
    sP11: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' * 'B_d_prod_ell2_set$' ) > $o ).

tff(pred_def_65,type,
    sP12: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_66,type,
    sP13: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_67,type,
    sP14: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_68,type,
    sP15: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_69,type,
    sP16: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_70,type,
    sP17: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > $o ).

tff(pred_def_71,type,
    sP18: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_72,type,
    sP19: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_73,type,
    sP20: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > $o ).

tff(pred_def_74,type,
    sP21: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_75,type,
    sP22: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > $o ).

tff(pred_def_76,type,
    sP23: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > $o ).

tff(pred_def_77,type,
    sP24: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' ) > $o ).

tff(f2548,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2547]) ).

tff(f2547,plain,
    'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))) != 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))),
    inference(forward_demodulation,[],[f2545,f1503]) ).

tff(f1503,plain,
    ! [X2: 'C_ell2$',X0: 'C_ell2_d_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'fun_app$u'('cblinfun_apply$b'('fun_app$m'('fun_app$n'('plus$a',X0),X1)),X2) = 'plus$i'('fun_app$u'('cblinfun_apply$b'(X0),X2),'fun_app$u'('cblinfun_apply$b'(X1),X2)) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,axiom,
    ! [X0: 'C_ell2_d_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$',X2: 'C_ell2$'] : ( 'fun_app$u'('cblinfun_apply$b'('fun_app$m'('fun_app$n'('plus$a',X0),X1)),X2) = 'plus$i'('fun_app$u'('cblinfun_apply$b'(X0),X2),'fun_app$u'('cblinfun_apply$b'(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).

tff(f2545,plain,
    'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))) != 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('fun_app$m'('fun_app$n'('plus$a','b2$'),'b1$')),'ket$b'('j$'))),
    inference(superposition,[],[f2544,f1763]) ).

tff(f1763,plain,
    ! [X2: 'A_ell2$',X3: 'C_ell2$',X0: 'A_ell2_b_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X0,X1)),'tensor_ell2$b'(X2,X3)) = 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X0),X2),'fun_app$u'('cblinfun_apply$b'(X1),X3)) ),
    inference(cnf_transformation,[],[f212]) ).

tff(f212,axiom,
    ! [X0: 'A_ell2_b_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$',X2: 'A_ell2$',X3: 'C_ell2$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X0,X1)),'tensor_ell2$b'(X2,X3)) = 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X0),X2),'fun_app$u'('cblinfun_apply$b'(X1),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom210) ).

tff(f2544,plain,
    'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))) != 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b2$'),'b1$'))),'tensor_ell2$b'('ket$a'('i$'),'ket$b'('j$'))),
    inference(forward_demodulation,[],[f2543,f1692]) ).

tff(f1692,plain,
    ! [X0: 'C_ell2_d_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'fun_app$m'('fun_app$n'('plus$a',X0),X1) = 'fun_app$m'('fun_app$n'('plus$a',X1),X0) ),
    inference(cnf_transformation,[],[f157]) ).

tff(f157,axiom,
    ! [X0: 'C_ell2_d_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'fun_app$m'('fun_app$n'('plus$a',X0),X1) = 'fun_app$m'('fun_app$n'('plus$a',X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom155) ).

tff(f2543,plain,
    'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))) != 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'tensor_ell2$b'('ket$a'('i$'),'ket$b'('j$'))),
    inference(forward_demodulation,[],[f2542,f1588]) ).

tff(f1588,plain,
    ! [X0: 'A$',X1: 'C$'] : ( 'tensor_ell2$b'('ket$a'(X0),'ket$b'(X1)) = 'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X0),X1)) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f83,axiom,
    ! [X0: 'A$',X1: 'C$'] : ( 'tensor_ell2$b'('ket$a'(X0),'ket$b'(X1)) = 'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom81) ).

tff(f2542,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')))),
    inference(forward_demodulation,[],[f2541,f1688]) ).

tff(f1688,plain,
    ! [X0: 'D_ell2$',X1: 'D_ell2$'] : ( 'plus$i'(X0,X1) = 'plus$i'(X1,X0) ),
    inference(cnf_transformation,[],[f153]) ).

tff(f153,axiom,
    ! [X0: 'D_ell2$',X1: 'D_ell2$'] : ( 'plus$i'(X0,X1) = 'plus$i'(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom151) ).

tff(f2541,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'plus$i'('fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$')),'fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')))),
    inference(forward_demodulation,[],[f2540,f1602]) ).

tff(f1602,plain,
    ! [X2: 'D_ell2$',X0: 'B_ell2$',X1: 'D_ell2$'] : ( 'tensor_ell2$'(X0,'plus$i'(X1,X2)) = 'plus$u'('tensor_ell2$'(X0,X1),'tensor_ell2$'(X0,X2)) ),
    inference(cnf_transformation,[],[f97]) ).

tff(f97,axiom,
    ! [X0: 'B_ell2$',X1: 'D_ell2$',X2: 'D_ell2$'] : ( 'tensor_ell2$'(X0,'plus$i'(X1,X2)) = 'plus$u'('tensor_ell2$'(X0,X1),'tensor_ell2$'(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom95) ).

tff(f2540,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'plus$u'('tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$'))),'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')))),
    inference(forward_demodulation,[],[f2539,f1489]) ).

tff(f1489,plain,
    ! [X2: 'A$',X3: 'C$',X0: 'A_ell2_b_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X0,X1)),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X2),X3))) = 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X0),'ket$a'(X2)),'fun_app$u'('cblinfun_apply$b'(X1),'ket$b'(X3))) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,axiom,
    ! [X0: 'A_ell2_b_ell2_cblinfun$',X1: 'C_ell2_d_ell2_cblinfun$',X2: 'A$',X3: 'C$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X0,X1)),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X2),X3))) = 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X0),'ket$a'(X2)),'fun_app$u'('cblinfun_apply$b'(X1),'ket$b'(X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom20) ).

tff(f2539,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','b1$')),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))),'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('b2$'),'ket$b'('j$')))),
    inference(forward_demodulation,[],[f2538,f1489]) ).

tff(f2538,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','b1$')),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))),'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','b2$')),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$')))),
    inference(forward_demodulation,[],[f1478,f1504]) ).

tff(f1504,plain,
    ! [X2: 'A_c_prod_ell2$',X0: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X1: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b',X0),X1)),X2) = 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$',X0),X2),'fun_app$k'('fun_app$l'('cblinfun_apply$',X1),X2)) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f37,axiom,
    ! [X0: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X1: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X2: 'A_c_prod_ell2$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b',X0),X1)),X2) = 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$',X0),X2),'fun_app$k'('fun_app$l'('cblinfun_apply$',X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).

tff(f1478,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b','tensor_op$'('a$','b1$')),'tensor_op$'('a$','b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))),
    inference(cnf_transformation,[],[f645]) ).

tff(f645,plain,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) != 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b','tensor_op$'('a$','b1$')),'tensor_op$'('a$','b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))),
    inference(flattening,[],[f11]) ).

tff(f11,negated_conjecture,
    ( ~ 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) = 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b','tensor_op$'('a$','b1$')),'tensor_op$'('a$','b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) ),
    inference(negated_conjecture,[],[f10]) ).

tff(f10,conjecture,
    'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'('a$','fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))) = 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b','tensor_op$'('a$','b1$')),'tensor_op$'('a$','b2$'))),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$','i$'),'j$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : ITP387_1 : TPTP v8.2.0. Released v8.0.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30  % Computer : n026.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sat May 18 17:24:23 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a TF0_THM_EQU_NAR problem
% 0.09/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.82  % (10746)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.61/0.82  % (10748)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.61/0.82  % (10749)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.61/0.82  % (10747)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.61/0.82  % (10750)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.61/0.82  % (10751)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.61/0.82  % (10752)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.61/0.82  % (10753)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.61/0.82  % (10753)Refutation not found, incomplete strategy% (10753)------------------------------
% 0.61/0.82  % (10753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (10751)Refutation not found, incomplete strategy% (10751)------------------------------
% 0.61/0.82  % (10751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (10751)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (10751)Memory used [KB]: 1630
% 0.61/0.82  % (10751)Time elapsed: 0.007 s
% 0.61/0.82  % (10751)Instructions burned: 12 (million)
% 0.61/0.82  % (10753)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (10753)Memory used [KB]: 1640
% 0.61/0.82  % (10753)Time elapsed: 0.006 s
% 0.61/0.82  % (10753)Instructions burned: 11 (million)
% 0.61/0.82  % (10749)Refutation not found, incomplete strategy% (10749)------------------------------
% 0.61/0.82  % (10749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (10749)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (10749)Memory used [KB]: 1635
% 0.61/0.82  % (10749)Time elapsed: 0.007 s
% 0.61/0.82  % (10749)Instructions burned: 11 (million)
% 0.61/0.82  % (10751)------------------------------
% 0.61/0.82  % (10751)------------------------------
% 0.61/0.82  % (10753)------------------------------
% 0.61/0.82  % (10753)------------------------------
% 0.61/0.82  % (10749)------------------------------
% 0.61/0.82  % (10749)------------------------------
% 0.61/0.82  % (10746)Refutation not found, incomplete strategy% (10746)------------------------------
% 0.61/0.82  % (10746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (10746)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (10746)Memory used [KB]: 1648
% 0.61/0.82  % (10746)Time elapsed: 0.009 s
% 0.61/0.82  % (10746)Instructions burned: 15 (million)
% 0.61/0.82  % (10746)------------------------------
% 0.61/0.82  % (10746)------------------------------
% 0.61/0.83  % (10752)Refutation not found, incomplete strategy% (10752)------------------------------
% 0.61/0.83  % (10752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (10752)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (10752)Memory used [KB]: 1657
% 0.61/0.83  % (10752)Time elapsed: 0.010 s
% 0.61/0.83  % (10752)Instructions burned: 18 (million)
% 0.61/0.83  % (10752)------------------------------
% 0.61/0.83  % (10752)------------------------------
% 0.61/0.83  % (10754)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.61/0.83  % (10756)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.61/0.83  % (10755)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.61/0.83  % (10757)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.61/0.83  % (10758)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.61/0.83  % (10750)Instruction limit reached!
% 0.61/0.83  % (10750)------------------------------
% 0.61/0.83  % (10750)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (10750)Termination reason: Unknown
% 0.61/0.83  % (10750)Termination phase: Property scanning
% 0.61/0.83  
% 0.61/0.83  % (10750)Memory used [KB]: 2084
% 0.61/0.83  % (10750)Time elapsed: 0.016 s
% 0.61/0.83  % (10750)Instructions burned: 34 (million)
% 0.61/0.83  % (10750)------------------------------
% 0.61/0.83  % (10750)------------------------------
% 0.61/0.83  % (10759)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.61/0.84  % (10758)Refutation not found, incomplete strategy% (10758)------------------------------
% 0.61/0.84  % (10758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (10758)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (10758)Memory used [KB]: 1796
% 0.61/0.84  % (10758)Time elapsed: 0.011 s
% 0.61/0.84  % (10758)Instructions burned: 20 (million)
% 0.61/0.84  % (10747)Instruction limit reached!
% 0.61/0.84  % (10747)------------------------------
% 0.61/0.84  % (10747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (10747)Termination reason: Unknown
% 0.61/0.84  % (10747)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (10758)------------------------------
% 0.61/0.84  % (10758)------------------------------
% 0.61/0.84  % (10747)Memory used [KB]: 2323
% 0.61/0.84  % (10747)Time elapsed: 0.024 s
% 0.61/0.84  % (10747)Instructions burned: 51 (million)
% 0.61/0.84  % (10747)------------------------------
% 0.61/0.84  % (10747)------------------------------
% 0.61/0.84  % (10760)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.61/0.84  % (10761)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.61/0.85  % (10755)Instruction limit reached!
% 0.61/0.85  % (10755)------------------------------
% 0.61/0.85  % (10755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (10755)Termination reason: Unknown
% 0.61/0.85  % (10755)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (10755)Memory used [KB]: 2486
% 0.61/0.85  % (10755)Time elapsed: 0.023 s
% 0.61/0.85  % (10755)Instructions burned: 51 (million)
% 0.61/0.85  % (10755)------------------------------
% 0.61/0.85  % (10755)------------------------------
% 0.61/0.85  % (10754)Instruction limit reached!
% 0.61/0.85  % (10754)------------------------------
% 0.61/0.85  % (10754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (10754)Termination reason: Unknown
% 0.61/0.85  % (10754)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (10754)Memory used [KB]: 2521
% 0.61/0.85  % (10754)Time elapsed: 0.026 s
% 0.61/0.85  % (10754)Instructions burned: 55 (million)
% 0.61/0.85  % (10754)------------------------------
% 0.61/0.85  % (10754)------------------------------
% 0.61/0.85  % (10762)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.61/0.85  % (10759)Instruction limit reached!
% 0.61/0.85  % (10759)------------------------------
% 0.61/0.85  % (10759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (10759)Termination reason: Unknown
% 0.61/0.85  % (10759)Termination phase: Property scanning
% 0.61/0.85  
% 0.61/0.85  % (10759)Memory used [KB]: 2341
% 0.61/0.85  % (10759)Time elapsed: 0.019 s
% 0.61/0.85  % (10759)Instructions burned: 42 (million)
% 0.61/0.85  % (10759)------------------------------
% 0.61/0.85  % (10759)------------------------------
% 0.61/0.85  % (10757)Instruction limit reached!
% 0.61/0.85  % (10757)------------------------------
% 0.61/0.85  % (10757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (10757)Termination reason: Unknown
% 0.61/0.85  % (10757)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (10757)Memory used [KB]: 2382
% 0.61/0.85  % (10757)Time elapsed: 0.026 s
% 0.61/0.85  % (10757)Instructions burned: 52 (million)
% 0.61/0.85  % (10757)------------------------------
% 0.61/0.85  % (10757)------------------------------
% 0.61/0.85  % (10748)Instruction limit reached!
% 0.61/0.85  % (10748)------------------------------
% 0.61/0.85  % (10748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (10748)Termination reason: Unknown
% 0.61/0.85  % (10748)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (10748)Memory used [KB]: 2036
% 0.61/0.85  % (10748)Time elapsed: 0.038 s
% 0.61/0.85  % (10748)Instructions burned: 79 (million)
% 0.61/0.85  % (10748)------------------------------
% 0.61/0.85  % (10748)------------------------------
% 0.61/0.85  % (10763)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.61/0.86  % (10764)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.61/0.86  % (10765)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.61/0.86  % (10766)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.88/0.87  % (10765)Instruction limit reached!
% 0.88/0.87  % (10765)------------------------------
% 0.88/0.87  % (10765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.87  % (10765)Termination reason: Unknown
% 0.88/0.87  % (10765)Termination phase: Function definition elimination
% 0.88/0.87  
% 0.88/0.87  % (10765)Memory used [KB]: 2109
% 0.88/0.87  % (10765)Time elapsed: 0.016 s
% 0.88/0.87  % (10765)Instructions burned: 33 (million)
% 0.88/0.87  % (10765)------------------------------
% 0.88/0.87  % (10765)------------------------------
% 0.88/0.87  % (10767)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.88/0.88  % (10764)Instruction limit reached!
% 0.88/0.88  % (10764)------------------------------
% 0.88/0.88  % (10764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.88  % (10764)Termination reason: Unknown
% 0.88/0.88  % (10764)Termination phase: Saturation
% 0.88/0.88  
% 0.88/0.88  % (10764)Memory used [KB]: 2939
% 0.88/0.88  % (10764)Time elapsed: 0.028 s
% 0.88/0.88  % (10764)Instructions burned: 63 (million)
% 0.88/0.88  % (10764)------------------------------
% 0.88/0.88  % (10764)------------------------------
% 0.88/0.89  % (10768)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.88/0.89  % (10768)Refutation not found, incomplete strategy% (10768)------------------------------
% 0.88/0.89  % (10768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.89  % (10768)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.89  
% 0.88/0.89  % (10768)Memory used [KB]: 1610
% 0.93/0.89  % (10768)Time elapsed: 0.007 s
% 0.93/0.89  % (10768)Instructions burned: 12 (million)
% 0.93/0.89  % (10768)------------------------------
% 0.93/0.89  % (10768)------------------------------
% 0.93/0.90  % (10769)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.93/0.90  % (10767)Instruction limit reached!
% 0.93/0.90  % (10767)------------------------------
% 0.93/0.90  % (10767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.90  % (10767)Termination reason: Unknown
% 0.93/0.90  % (10767)Termination phase: Property scanning
% 0.93/0.90  
% 0.93/0.90  % (10767)Memory used [KB]: 2481
% 0.93/0.90  % (10767)Time elapsed: 0.026 s
% 0.93/0.90  % (10767)Instructions burned: 57 (million)
% 0.93/0.90  % (10767)------------------------------
% 0.93/0.90  % (10767)------------------------------
% 0.93/0.90  % (10761)Instruction limit reached!
% 0.93/0.90  % (10761)------------------------------
% 0.93/0.90  % (10761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.90  % (10763)Instruction limit reached!
% 0.93/0.90  % (10763)------------------------------
% 0.93/0.90  % (10763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.90  % (10763)Termination reason: Unknown
% 0.93/0.90  % (10763)Termination phase: Saturation
% 0.93/0.90  
% 0.93/0.90  % (10763)Memory used [KB]: 2860
% 0.93/0.90  % (10763)Time elapsed: 0.046 s
% 0.93/0.90  % (10763)Instructions burned: 94 (million)
% 0.93/0.90  % (10763)------------------------------
% 0.93/0.90  % (10763)------------------------------
% 0.93/0.90  % (10761)Termination reason: Unknown
% 0.93/0.90  % (10761)Termination phase: Saturation
% 0.93/0.90  
% 0.93/0.90  % (10761)Memory used [KB]: 3358
% 0.93/0.90  % (10761)Time elapsed: 0.058 s
% 0.93/0.90  % (10761)Instructions burned: 117 (million)
% 0.93/0.90  % (10761)------------------------------
% 0.93/0.90  % (10761)------------------------------
% 0.93/0.90  % (10770)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.93/0.90  % (10771)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 0.93/0.90  % (10772)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 0.93/0.91  % (10769)Instruction limit reached!
% 0.93/0.91  % (10769)------------------------------
% 0.93/0.91  % (10769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.91  % (10769)Termination reason: Unknown
% 0.93/0.91  % (10769)Termination phase: Property scanning
% 0.93/0.91  
% 0.93/0.91  % (10769)Memory used [KB]: 2312
% 0.93/0.91  % (10769)Time elapsed: 0.021 s
% 0.93/0.91  % (10769)Instructions burned: 48 (million)
% 0.93/0.91  % (10769)------------------------------
% 0.93/0.91  % (10769)------------------------------
% 0.93/0.92  % (10773)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2993ds/109Mi)
% 0.93/0.92  % (10771)Instruction limit reached!
% 0.93/0.92  % (10771)------------------------------
% 0.93/0.92  % (10771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.92  % (10771)Termination reason: Unknown
% 0.93/0.92  % (10771)Termination phase: Saturation
% 0.93/0.92  
% 0.93/0.92  % (10771)Memory used [KB]: 1989
% 0.93/0.92  % (10771)Time elapsed: 0.019 s
% 0.93/0.92  % (10771)Instructions burned: 35 (million)
% 0.93/0.92  % (10771)------------------------------
% 0.93/0.92  % (10771)------------------------------
% 0.93/0.92  % (10756)Instruction limit reached!
% 0.93/0.92  % (10756)------------------------------
% 0.93/0.92  % (10756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.93/0.92  % (10756)Termination reason: Unknown
% 0.93/0.92  % (10756)Termination phase: Saturation
% 0.93/0.92  
% 0.93/0.92  % (10756)Memory used [KB]: 2502
% 0.93/0.92  % (10756)Time elapsed: 0.095 s
% 0.93/0.92  % (10756)Instructions burned: 209 (million)
% 0.93/0.92  % (10756)------------------------------
% 0.93/0.92  % (10756)------------------------------
% 0.93/0.92  % (10762)Instruction limit reached!
% 0.93/0.92  % (10762)------------------------------
% 0.93/0.92  % (10762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.22/0.92  % (10762)Termination reason: Unknown
% 1.22/0.92  % (10762)Termination phase: Saturation
% 1.22/0.92  
% 1.22/0.92  % (10762)Memory used [KB]: 3686
% 1.22/0.92  % (10762)Time elapsed: 0.071 s
% 1.22/0.92  % (10762)Instructions burned: 144 (million)
% 1.22/0.92  % (10762)------------------------------
% 1.22/0.92  % (10762)------------------------------
% 1.22/0.92  % (10774)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2993ds/161Mi)
% 1.22/0.92  % (10775)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2993ds/69Mi)
% 1.22/0.92  % (10776)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2993ds/40Mi)
% 1.29/0.94  % (10776)Instruction limit reached!
% 1.29/0.94  % (10776)------------------------------
% 1.29/0.94  % (10776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.94  % (10776)Termination reason: Unknown
% 1.29/0.94  % (10776)Termination phase: Property scanning
% 1.29/0.94  
% 1.29/0.94  % (10776)Memory used [KB]: 2270
% 1.29/0.94  % (10776)Time elapsed: 0.019 s
% 1.29/0.94  % (10776)Instructions burned: 42 (million)
% 1.29/0.94  % (10776)------------------------------
% 1.29/0.94  % (10776)------------------------------
% 1.29/0.94  % (10772)Instruction limit reached!
% 1.29/0.94  % (10772)------------------------------
% 1.29/0.94  % (10772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.94  % (10772)Termination reason: Unknown
% 1.29/0.94  % (10772)Termination phase: Saturation
% 1.29/0.94  
% 1.29/0.94  % (10772)Memory used [KB]: 2679
% 1.29/0.94  % (10772)Time elapsed: 0.042 s
% 1.29/0.94  % (10772)Instructions burned: 88 (million)
% 1.29/0.94  % (10772)------------------------------
% 1.29/0.94  % (10772)------------------------------
% 1.29/0.94  % (10770)Instruction limit reached!
% 1.29/0.94  % (10770)------------------------------
% 1.29/0.94  % (10770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.94  % (10770)Termination reason: Unknown
% 1.29/0.94  % (10770)Termination phase: Saturation
% 1.29/0.94  
% 1.29/0.94  % (10770)Memory used [KB]: 1947
% 1.29/0.94  % (10770)Time elapsed: 0.068 s
% 1.29/0.94  % (10770)Instructions burned: 103 (million)
% 1.29/0.94  % (10770)------------------------------
% 1.29/0.94  % (10770)------------------------------
% 1.29/0.95  % (10777)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2993ds/360Mi)
% 1.29/0.95  % (10774)Refutation not found, incomplete strategy% (10774)------------------------------
% 1.29/0.95  % (10774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.95  % (10774)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.95  
% 1.29/0.95  % (10774)Memory used [KB]: 2364
% 1.29/0.95  % (10774)Time elapsed: 0.024 s
% 1.29/0.95  % (10774)Instructions burned: 52 (million)
% 1.29/0.95  % (10778)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2993ds/161Mi)
% 1.29/0.95  % (10774)------------------------------
% 1.29/0.95  % (10774)------------------------------
% 1.29/0.95  % (10779)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2993ds/80Mi)
% 1.29/0.95  % (10760)Instruction limit reached!
% 1.29/0.95  % (10760)------------------------------
% 1.29/0.95  % (10760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.95  % (10760)Termination reason: Unknown
% 1.29/0.95  % (10760)Termination phase: Saturation
% 1.29/0.95  
% 1.29/0.95  % (10760)Memory used [KB]: 2727
% 1.29/0.95  % (10760)Time elapsed: 0.108 s
% 1.29/0.95  % (10760)Instructions burned: 243 (million)
% 1.29/0.95  % (10760)------------------------------
% 1.29/0.95  % (10760)------------------------------
% 1.29/0.95  % (10781)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2993ds/37Mi)
% 1.29/0.95  % (10778)Refutation not found, incomplete strategy% (10778)------------------------------
% 1.29/0.95  % (10778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.95  % (10782)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2993ds/55Mi)
% 1.29/0.95  % (10778)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.95  
% 1.29/0.95  % (10778)Memory used [KB]: 1717
% 1.29/0.95  % (10778)Time elapsed: 0.007 s
% 1.29/0.95  % (10778)Instructions burned: 13 (million)
% 1.29/0.95  % (10778)------------------------------
% 1.29/0.95  % (10778)------------------------------
% 1.29/0.95  % (10775)Instruction limit reached!
% 1.29/0.95  % (10775)------------------------------
% 1.29/0.95  % (10775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.95  % (10775)Termination reason: Unknown
% 1.29/0.95  % (10775)Termination phase: Saturation
% 1.29/0.95  
% 1.29/0.95  % (10775)Memory used [KB]: 2924
% 1.29/0.95  % (10775)Time elapsed: 0.032 s
% 1.29/0.95  % (10775)Instructions burned: 69 (million)
% 1.29/0.95  % (10775)------------------------------
% 1.29/0.95  % (10775)------------------------------
% 1.29/0.96  % (10783)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2993ds/47Mi)
% 1.29/0.96  % (10784)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2993ds/32Mi)
% 1.29/0.96  % (10782)Refutation not found, incomplete strategy% (10782)------------------------------
% 1.29/0.96  % (10782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.96  % (10782)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.96  
% 1.29/0.96  % (10782)Memory used [KB]: 1772
% 1.29/0.96  % (10782)Time elapsed: 0.013 s
% 1.29/0.96  % (10782)Instructions burned: 26 (million)
% 1.29/0.96  % (10782)------------------------------
% 1.29/0.96  % (10782)------------------------------
% 1.29/0.97  % (10781)Instruction limit reached!
% 1.29/0.97  % (10781)------------------------------
% 1.29/0.97  % (10781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.97  % (10781)Termination reason: Unknown
% 1.29/0.97  % (10781)Termination phase: Saturation
% 1.29/0.97  
% 1.29/0.97  % (10781)Memory used [KB]: 2043
% 1.29/0.97  % (10781)Time elapsed: 0.019 s
% 1.29/0.97  % (10781)Instructions burned: 37 (million)
% 1.29/0.97  % (10781)------------------------------
% 1.29/0.97  % (10781)------------------------------
% 1.29/0.97  % (10785)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2993ds/132Mi)
% 1.29/0.97  % (10786)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2993ds/54Mi)
% 1.29/0.97  % (10773)Instruction limit reached!
% 1.29/0.97  % (10773)------------------------------
% 1.29/0.97  % (10773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.97  % (10773)Termination reason: Unknown
% 1.29/0.97  % (10773)Termination phase: Saturation
% 1.29/0.97  
% 1.29/0.97  % (10773)Memory used [KB]: 2931
% 1.29/0.97  % (10773)Time elapsed: 0.055 s
% 1.29/0.97  % (10773)Instructions burned: 110 (million)
% 1.29/0.97  % (10773)------------------------------
% 1.29/0.97  % (10773)------------------------------
% 1.29/0.97  % (10784)Instruction limit reached!
% 1.29/0.97  % (10784)------------------------------
% 1.29/0.97  % (10784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.97  % (10784)Termination reason: Unknown
% 1.29/0.97  % (10784)Termination phase: Property scanning
% 1.29/0.97  
% 1.29/0.97  % (10784)Memory used [KB]: 2193
% 1.29/0.97  % (10784)Time elapsed: 0.016 s
% 1.29/0.97  % (10784)Instructions burned: 34 (million)
% 1.29/0.97  % (10784)------------------------------
% 1.29/0.97  % (10784)------------------------------
% 1.29/0.97  % (10787)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2993ds/82Mi)
% 1.29/0.98  % (10788)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2993ds/119Mi)
% 1.29/0.98  % (10786)Refutation not found, incomplete strategy% (10786)------------------------------
% 1.29/0.98  % (10786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.98  % (10786)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.98  
% 1.29/0.98  % (10786)Memory used [KB]: 1712
% 1.29/0.98  % (10786)Time elapsed: 0.007 s
% 1.29/0.98  % (10786)Instructions burned: 12 (million)
% 1.29/0.98  % (10783)Instruction limit reached!
% 1.29/0.98  % (10783)------------------------------
% 1.29/0.98  % (10783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.98  % (10783)Termination reason: Unknown
% 1.29/0.98  % (10783)Termination phase: Saturation
% 1.29/0.98  
% 1.29/0.98  % (10783)Memory used [KB]: 2204
% 1.29/0.98  % (10783)Time elapsed: 0.022 s
% 1.29/0.98  % (10783)Instructions burned: 48 (million)
% 1.29/0.98  % (10783)------------------------------
% 1.29/0.98  % (10783)------------------------------
% 1.29/0.98  % (10786)------------------------------
% 1.29/0.98  % (10786)------------------------------
% 1.29/0.98  % (10785)Refutation not found, incomplete strategy% (10785)------------------------------
% 1.29/0.98  % (10785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.98  % (10785)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.98  
% 1.29/0.98  % (10785)Memory used [KB]: 1726
% 1.29/0.98  % (10785)Time elapsed: 0.011 s
% 1.29/0.98  % (10785)Instructions burned: 21 (million)
% 1.29/0.98  % (10785)------------------------------
% 1.29/0.98  % (10785)------------------------------
% 1.29/0.98  % (10789)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2993ds/177Mi)
% 1.29/0.98  % (10790)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2993ds/117Mi)
% 1.29/0.98  % (10791)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on theBenchmark for (2993ds/49Mi)
% 1.29/0.99  % (10779)Instruction limit reached!
% 1.29/0.99  % (10779)------------------------------
% 1.29/0.99  % (10779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.99  % (10779)Termination reason: Unknown
% 1.29/0.99  % (10779)Termination phase: Saturation
% 1.29/0.99  
% 1.29/0.99  % (10779)Memory used [KB]: 2074
% 1.29/0.99  % (10779)Time elapsed: 0.039 s
% 1.29/0.99  % (10779)Instructions burned: 81 (million)
% 1.29/0.99  % (10779)------------------------------
% 1.29/0.99  % (10779)------------------------------
% 1.29/0.99  % (10792)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on theBenchmark for (2993ds/51Mi)
% 1.77/1.00  % (10791)Instruction limit reached!
% 1.77/1.00  % (10791)------------------------------
% 1.77/1.00  % (10791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.00  % (10791)Termination reason: Unknown
% 1.77/1.00  % (10791)Termination phase: Saturation
% 1.77/1.00  
% 1.77/1.00  % (10791)Memory used [KB]: 2236
% 1.77/1.00  % (10791)Time elapsed: 0.024 s
% 1.77/1.00  % (10791)Instructions burned: 50 (million)
% 1.77/1.00  % (10791)------------------------------
% 1.77/1.00  % (10791)------------------------------
% 1.77/1.01  % (10789)Refutation not found, incomplete strategy% (10789)------------------------------
% 1.77/1.01  % (10789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.01  % (10789)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.01  
% 1.77/1.01  % (10789)Memory used [KB]: 1942
% 1.77/1.01  % (10789)Time elapsed: 0.028 s
% 1.77/1.01  % (10789)Instructions burned: 58 (million)
% 1.77/1.01  % (10789)------------------------------
% 1.77/1.01  % (10789)------------------------------
% 1.77/1.01  % (10793)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on theBenchmark for (2993ds/149Mi)
% 1.77/1.01  % (10794)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on theBenchmark for (2993ds/56Mi)
% 1.77/1.01  % (10787)Instruction limit reached!
% 1.77/1.01  % (10787)------------------------------
% 1.77/1.01  % (10787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.01  % (10787)Termination reason: Unknown
% 1.77/1.01  % (10787)Termination phase: Saturation
% 1.77/1.01  
% 1.77/1.01  % (10787)Memory used [KB]: 2760
% 1.77/1.01  % (10787)Time elapsed: 0.039 s
% 1.77/1.01  % (10787)Instructions burned: 82 (million)
% 1.77/1.01  % (10787)------------------------------
% 1.77/1.01  % (10787)------------------------------
% 1.77/1.01  % (10792)Instruction limit reached!
% 1.77/1.01  % (10792)------------------------------
% 1.77/1.01  % (10792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.01  % (10792)Termination reason: Unknown
% 1.77/1.01  % (10792)Termination phase: Saturation
% 1.77/1.01  
% 1.77/1.01  % (10792)Memory used [KB]: 2253
% 1.77/1.01  % (10792)Time elapsed: 0.027 s
% 1.77/1.01  % (10792)Instructions burned: 52 (million)
% 1.77/1.01  % (10792)------------------------------
% 1.77/1.01  % (10792)------------------------------
% 1.77/1.02  % (10795)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on theBenchmark for (2993ds/289Mi)
% 1.77/1.02  % (10793)Refutation not found, incomplete strategy% (10793)------------------------------
% 1.77/1.02  % (10793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.02  % (10796)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2993ds/206Mi)
% 1.77/1.02  % (10793)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.02  
% 1.77/1.02  % (10793)Memory used [KB]: 1764
% 1.77/1.02  % (10793)Time elapsed: 0.011 s
% 1.77/1.02  % (10793)Instructions burned: 23 (million)
% 1.77/1.02  % (10794)Refutation not found, incomplete strategy% (10794)------------------------------
% 1.77/1.02  % (10794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.02  % (10794)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.02  
% 1.77/1.02  % (10794)Memory used [KB]: 1633
% 1.77/1.02  % (10794)Time elapsed: 0.009 s
% 1.77/1.02  % (10794)Instructions burned: 16 (million)
% 1.77/1.02  % (10793)------------------------------
% 1.77/1.02  % (10793)------------------------------
% 1.77/1.02  % (10794)------------------------------
% 1.77/1.02  % (10794)------------------------------
% 1.77/1.02  % (10797)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on theBenchmark for (2992ds/50Mi)
% 1.77/1.02  % (10798)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on theBenchmark for (2992ds/1483Mi)
% 1.77/1.02  % (10795)Refutation not found, incomplete strategy% (10795)------------------------------
% 1.77/1.02  % (10795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.02  % (10795)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.02  
% 1.77/1.02  % (10795)Memory used [KB]: 1610
% 1.77/1.02  % (10795)Time elapsed: 0.008 s
% 1.77/1.02  % (10795)Instructions burned: 15 (million)
% 1.77/1.02  % (10795)------------------------------
% 1.77/1.02  % (10795)------------------------------
% 1.77/1.03  % (10799)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on theBenchmark for (2992ds/67Mi)
% 1.77/1.03  % (10796)Refutation not found, incomplete strategy% (10796)------------------------------
% 1.77/1.03  % (10796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.03  % (10796)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.03  
% 1.77/1.03  % (10796)Memory used [KB]: 1793
% 1.77/1.03  % (10796)Time elapsed: 0.012 s
% 1.77/1.03  % (10796)Instructions burned: 24 (million)
% 1.77/1.03  % (10796)------------------------------
% 1.77/1.03  % (10796)------------------------------
% 1.77/1.03  % (10800)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on theBenchmark for (2992ds/67Mi)
% 1.77/1.03  % (10788)Instruction limit reached!
% 1.77/1.03  % (10788)------------------------------
% 1.77/1.03  % (10788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.03  % (10788)Termination reason: Unknown
% 1.77/1.03  % (10788)Termination phase: Saturation
% 1.77/1.03  
% 1.77/1.03  % (10788)Memory used [KB]: 3254
% 1.77/1.03  % (10788)Time elapsed: 0.060 s
% 1.77/1.03  % (10788)Instructions burned: 120 (million)
% 1.77/1.03  % (10788)------------------------------
% 1.77/1.03  % (10788)------------------------------
% 1.77/1.04  % (10790)Instruction limit reached!
% 1.77/1.04  % (10790)------------------------------
% 1.77/1.04  % (10790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.04  % (10790)Termination reason: Unknown
% 1.77/1.04  % (10790)Termination phase: Saturation
% 1.77/1.04  
% 1.77/1.04  % (10790)Memory used [KB]: 3272
% 1.77/1.04  % (10790)Time elapsed: 0.057 s
% 1.77/1.04  % (10790)Instructions burned: 118 (million)
% 1.77/1.04  % (10790)------------------------------
% 1.77/1.04  % (10790)------------------------------
% 1.77/1.04  % (10801)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on theBenchmark for (2992ds/52Mi)
% 1.77/1.04  % (10802)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on theBenchmark for (2992ds/366Mi)
% 1.77/1.04  % (10797)Instruction limit reached!
% 1.77/1.04  % (10797)------------------------------
% 1.77/1.04  % (10797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.04  % (10797)Termination reason: Unknown
% 1.77/1.04  % (10797)Termination phase: Saturation
% 1.77/1.04  
% 1.77/1.04  % (10797)Memory used [KB]: 2131
% 1.77/1.04  % (10797)Time elapsed: 0.023 s
% 1.77/1.04  % (10797)Instructions burned: 50 (million)
% 1.77/1.04  % (10797)------------------------------
% 1.77/1.04  % (10797)------------------------------
% 1.77/1.04  % (10802)Refutation not found, incomplete strategy% (10802)------------------------------
% 1.77/1.04  % (10802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.04  % (10802)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.04  
% 1.77/1.04  % (10802)Memory used [KB]: 1692
% 1.77/1.04  % (10802)Time elapsed: 0.007 s
% 1.77/1.04  % (10802)Instructions burned: 12 (million)
% 1.77/1.04  % (10802)------------------------------
% 1.77/1.04  % (10802)------------------------------
% 1.77/1.05  % (10803)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2992ds/863Mi)
% 1.77/1.05  % (10804)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2992ds/163Mi)
% 1.77/1.05  % (10800)Refutation not found, incomplete strategy% (10800)------------------------------
% 1.77/1.05  % (10800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.05  % (10800)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.05  
% 1.77/1.05  % (10800)Memory used [KB]: 1987
% 1.77/1.05  % (10800)Time elapsed: 0.022 s
% 1.77/1.05  % (10800)Instructions burned: 44 (million)
% 1.77/1.05  % (10800)------------------------------
% 1.77/1.05  % (10800)------------------------------
% 1.77/1.06  % (10799)Instruction limit reached!
% 1.77/1.06  % (10799)------------------------------
% 1.77/1.06  % (10799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.06  % (10799)Termination reason: Unknown
% 1.77/1.06  % (10799)Termination phase: Saturation
% 1.77/1.06  
% 1.77/1.06  % (10799)Memory used [KB]: 2472
% 1.77/1.06  % (10799)Time elapsed: 0.031 s
% 1.77/1.06  % (10799)Instructions burned: 68 (million)
% 1.77/1.06  % (10799)------------------------------
% 1.77/1.06  % (10799)------------------------------
% 1.77/1.06  % (10805)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2992ds/77Mi)
% 1.77/1.06  % (10806)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on theBenchmark for (2992ds/1548Mi)
% 1.77/1.06  % (10801)Instruction limit reached!
% 1.77/1.06  % (10801)------------------------------
% 1.77/1.06  % (10801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.06  % (10801)Termination reason: Unknown
% 1.77/1.06  % (10801)Termination phase: Saturation
% 1.77/1.06  
% 1.77/1.06  % (10801)Memory used [KB]: 2342
% 1.77/1.06  % (10801)Time elapsed: 0.024 s
% 1.77/1.06  % (10801)Instructions burned: 53 (million)
% 1.77/1.06  % (10801)------------------------------
% 1.77/1.06  % (10801)------------------------------
% 1.77/1.06  % (10805)Refutation not found, incomplete strategy% (10805)------------------------------
% 1.77/1.06  % (10805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.77/1.06  % (10805)Termination reason: Refutation not found, incomplete strategy
% 1.77/1.06  
% 1.77/1.06  % (10805)Memory used [KB]: 1623
% 1.77/1.06  % (10805)Time elapsed: 0.005 s
% 1.77/1.06  % (10805)Instructions burned: 9 (million)
% 1.77/1.06  % (10805)------------------------------
% 1.77/1.06  % (10805)------------------------------
% 1.77/1.06  % (10807)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on theBenchmark for (2992ds/76Mi)
% 1.77/1.06  % (10808)dis+1010_111129:1048576_sfv=off:drc=encompass:sil=2000:tgt=full:sp=reverse_arity:spb=goal:rnwc=on:fd=preordered:rp=on:nwc=6.5667:i=1376:kws=arity_squared:bd=off:nm=0:uhcvi=on:rawr=on:av=off:erd=off:cond=on:lcm=reverse_0 on theBenchmark for (2992ds/1376Mi)
% 2.20/1.09  % (10804)First to succeed.
% 2.20/1.09  % (10804)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10743"
% 2.20/1.09  % (10804)Refutation found. Thanks to Tanya!
% 2.20/1.09  % SZS status Theorem for theBenchmark
% 2.20/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/1.10  % (10804)------------------------------
% 2.20/1.10  % (10804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.20/1.10  % (10804)Termination reason: Refutation
% 2.20/1.10  
% 2.20/1.10  % (10804)Memory used [KB]: 2630
% 2.20/1.10  % (10804)Time elapsed: 0.045 s
% 2.20/1.10  % (10804)Instructions burned: 96 (million)
% 2.20/1.10  % (10743)Success in time 0.774 s
% 2.20/1.10  % Vampire---4.8 exiting
%------------------------------------------------------------------------------