TSTP Solution File: ITP387_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ITP387_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n009.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 : Wed Aug 31 17:19:51 EDT 2022
% Result : Theorem 7.67s 1.46s
% Output : Refutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 638
% Syntax : Number of formulae : 661 ( 29 unt; 632 typ; 0 def)
% Number of atoms : 29 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 810 ( 453 >; 357 *; 0 +; 0 <<)
% Number of predicates : 55 ( 53 usr; 1 prp; 0-4 aty)
% Number of functors : 433 ( 433 usr; 33 con; 0-4 aty)
% Number of variables : 52 ( 52 !; 0 ?; 52 :)
% 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,
sK0: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2$' ).
tff(func_def_294,type,
sK1: 'C_a_prod$' > 'A$' ).
tff(func_def_295,type,
sK2: 'C_a_prod$' > 'C$' ).
tff(func_def_296,type,
sK3: ( 'A_c_prod$' * 'A_c_prod_a_c_prod_prod$' ) > 'A_c_prod$' ).
tff(func_def_297,type,
sK4: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C$' ).
tff(func_def_298,type,
sK5: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_299,type,
sK6: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ) > 'Complex$' ).
tff(func_def_300,type,
sK7: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_301,type,
sK8: '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_302,type,
sK9: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_303,type,
sK10: ( 'A_ell2_b_ell2_fun$' * 'A_ell2_set$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2$' ).
tff(func_def_304,type,
sK11: ( 'A_c_prod$' * 'A$' ) > 'C$' ).
tff(func_def_305,type,
sK12: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_306,type,
sK13: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_307,type,
sK14: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$' > 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ).
tff(func_def_308,type,
sK15: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).
tff(func_def_309,type,
sK16: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).
tff(func_def_310,type,
sK17: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_311,type,
sK18: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_312,type,
sK19: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_313,type,
sK20: ( '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_314,type,
sK21: ( '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$' ).
tff(func_def_315,type,
sK22: ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_316,type,
sK23: 'C_a_prod$' > 'C$' ).
tff(func_def_317,type,
sK24: 'C_a_prod$' > 'A$' ).
tff(func_def_318,type,
sK25: '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_319,type,
sK26: '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_320,type,
sK27: ( '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_321,type,
sK28: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_322,type,
sK29: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_323,type,
sK30: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_324,type,
sK31: '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_325,type,
sK32: ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).
tff(func_def_326,type,
sK33: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_327,type,
sK34: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_328,type,
sK35: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_329,type,
sK36: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_330,type,
sK37: ( 'A_c_prod_a_c_prod_prod_ell2_set$' * '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$' ).
tff(func_def_331,type,
sK38: ( 'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$' * '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_332,type,
sK39: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2$' * 'B_d_prod_ell2_set$' ) > 'B_d_prod_ell2$' ).
tff(func_def_333,type,
sK40: ( 'B_d_prod_ell2_set$' * 'B_d_prod_ell2$' * 'B_d_prod_ell2_set$' ) > 'B_d_prod_ell2$' ).
tff(func_def_334,type,
sK41: ( '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_335,type,
sK42: ( 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_336,type,
sK43: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * '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$' ).
tff(func_def_337,type,
sK44: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * '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$' ).
tff(func_def_338,type,
sK45: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod$' ).
tff(func_def_339,type,
sK46: ( 'B_d_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' ) > 'B_d_prod_ell2$' ).
tff(func_def_340,type,
sK47: ( 'B_d_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_341,type,
sK48: ( 'B_d_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_342,type,
sK49: 'C_a_prod_bool_fun$' > 'A$' ).
tff(func_def_343,type,
sK50: 'C_a_prod_bool_fun$' > 'C$' ).
tff(func_def_344,type,
sK51: ( 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_345,type,
sK52: ( '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$' ).
tff(func_def_346,type,
sK53: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_347,type,
sK54: ( 'C_a_prod$' * 'C$' ) > 'A$' ).
tff(func_def_348,type,
sK55: 'A_c_bool_fun_fun$' > 'A_c_prod$' ).
tff(func_def_349,type,
sK56: 'A_c_bool_fun_fun$' > 'A$' ).
tff(func_def_350,type,
sK57: 'A_c_bool_fun_fun$' > 'C$' ).
tff(func_def_351,type,
sK58: '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_352,type,
sK59: '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_353,type,
sK60: '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_354,type,
sK61: ( 'D_ell2$' * 'D_ell2_set$' * 'D_ell2_set$' ) > 'D_ell2$' ).
tff(func_def_355,type,
sK62: ( 'D_ell2$' * 'D_ell2_set$' * 'D_ell2_set$' ) > 'D_ell2$' ).
tff(func_def_356,type,
sK63: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).
tff(func_def_357,type,
sK64: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * '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$' ).
tff(func_def_358,type,
sK65: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$' * '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$' ).
tff(func_def_359,type,
sK66: ( 'A_c_prod_ell2$' * 'A_c_prod_ell2$' ) > 'A_c_prod$' ).
tff(func_def_360,type,
sK67: ( '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_361,type,
sK68: 'A_c_prod$' > 'C$' ).
tff(func_def_362,type,
sK69: 'A_c_prod$' > 'A$' ).
tff(func_def_363,type,
sK70: ( '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_364,type,
sK71: 'A_c_prod$' > 'C$' ).
tff(func_def_365,type,
sK72: 'A_c_prod$' > 'A$' ).
tff(func_def_366,type,
sK73: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_367,type,
sK74: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_368,type,
sK75: ( 'A_c_prod$' * 'A_c_prod_set$' * 'C_c_fun$' * 'A_a_fun$' ) > 'C$' ).
tff(func_def_369,type,
sK76: ( 'A_c_prod$' * 'A_c_prod_set$' * 'C_c_fun$' * 'A_a_fun$' ) > 'A$' ).
tff(func_def_370,type,
sK77: 'C_a_bool_fun_fun$' > 'C$' ).
tff(func_def_371,type,
sK78: 'C_a_bool_fun_fun$' > 'A$' ).
tff(func_def_372,type,
sK79: 'C_a_bool_fun_fun$' > 'C_a_prod$' ).
tff(func_def_373,type,
sK80: ( 'A_ell2_b_ell2_fun$' * 'A_ell2_set$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2$' ).
tff(func_def_374,type,
sK81: ( 'A_ell2_b_ell2_fun$' * 'A_ell2_set$' ) > 'A_ell2_b_ell2_cblinfun$' ).
tff(func_def_375,type,
sK82: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_376,type,
sK83: 'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_377,type,
sK84: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_378,type,
sK85: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_379,type,
sK86: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'C$' ).
tff(func_def_380,type,
sK87: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A_c_prod$' ).
tff(func_def_381,type,
sK88: 'A_c_prod_a_c_prod_prod_bool_fun$' > 'A$' ).
tff(func_def_382,type,
sK89: ( 'B_d_prod_ell2_a_c_prod_ell2_fun$' * 'B_d_prod_ell2_set$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod_ell2$' ).
tff(func_def_383,type,
sK90: ( 'B_d_prod_ell2_a_c_prod_ell2_fun$' * 'B_d_prod_ell2_set$' ) > 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ).
tff(func_def_384,type,
sK91: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_fun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_385,type,
sK92: ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A$' ).
tff(func_def_386,type,
sK93: ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).
tff(func_def_387,type,
sK94: ( 'C_ell2_d_ell2_cblinfun_set_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set_set$' ) > 'C_ell2_d_ell2_cblinfun_set$' ).
tff(func_def_388,type,
sK95: ( 'C_a_prod$' * 'A$' ) > 'C$' ).
tff(func_def_389,type,
sK96: ( 'C$' * 'A_c_prod$' ) > 'A$' ).
tff(func_def_390,type,
sK97: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_391,type,
sK98: 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$' > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_392,type,
sK99: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_393,type,
sK100: ( 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun_set$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_394,type,
sK101: ( 'A_c_prod$' * 'A_c_prod_a_c_prod_prod$' ) > 'A_c_prod$' ).
tff(func_def_395,type,
sK102: ( '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$' ).
tff(func_def_396,type,
sK103: ( 'C_ell2_d_ell2_fun$' * 'C_ell2_d_ell2_cblinfun$' * 'C_ell2_set$' ) > 'C_ell2$' ).
tff(func_def_397,type,
sK104: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_398,type,
sK105: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'Complex$' ).
tff(func_def_399,type,
sK106: ( 'C_ell2_d_ell2_cblinfun_bool_fun$' * 'C_ell2_d_ell2_cblinfun_set$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_400,type,
sK107: ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2$' ).
tff(func_def_401,type,
sK108: ( 'C_ell2_set$' * 'C_ell2_d_ell2_fun$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_402,type,
sK109: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_403,type,
sK110: ( '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$' ).
tff(func_def_404,type,
sK111: ( 'C_ell2_d_ell2_cblinfun_set$' * '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$' ).
tff(func_def_405,type,
sK112: ( 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' * 'B_d_prod_ell2_a_c_prod_ell2_cblinfun$' ) > 'B_d_prod$' ).
tff(func_def_406,type,
sK113: 'A_c_prod_bool_fun$' > 'A$' ).
tff(func_def_407,type,
sK114: 'A_c_prod_bool_fun$' > 'C$' ).
tff(func_def_408,type,
sK115: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_409,type,
sK116: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_410,type,
sK117: ( 'A_a_fun$' * 'A_c_prod$' * 'A_c_prod$' ) > 'C$' ).
tff(func_def_411,type,
sK118: ( 'A_a_fun$' * 'A_c_prod$' * 'A_c_prod$' ) > 'A$' ).
tff(func_def_412,type,
sK119: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_413,type,
sK120: ( '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$' ).
tff(func_def_414,type,
sK121: ( 'A_ell2_b_ell2_cblinfun$' * 'A_ell2_b_ell2_cblinfun$' ) > 'A_ell2$' ).
tff(func_def_415,type,
sK122: ( 'A_c_prod_ell2_b_d_prod_ell2_fun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ).
tff(func_def_416,type,
sK123: ( 'A_c_prod_ell2_b_d_prod_ell2_fun$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' ) > 'A_c_prod_ell2$' ).
tff(func_def_417,type,
sK124: ( 'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$' * 'C_ell2_d_ell2_cblinfun$' ) > 'C_ell2_d_ell2_cblinfun$' ).
tff(func_def_418,type,
sK125: ( '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$' ).
tff(func_def_419,type,
sK126: 'A_c_prod_a_c_prod_prod$' > 'A$' ).
tff(func_def_420,type,
sK127: 'A_c_prod_a_c_prod_prod$' > 'C$' ).
tff(func_def_421,type,
sK128: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_422,type,
sK129: 'A_c_prod_a_c_prod_prod$' > 'A$' ).
tff(func_def_423,type,
sK130: 'A_c_prod_a_c_prod_prod$' > 'A_c_prod$' ).
tff(func_def_424,type,
sK131: 'A_c_prod_a_c_prod_prod$' > 'C$' ).
tff(func_def_425,type,
sK132: ( 'Complex_set$' * 'Complex_set$' * 'Complex$' ) > 'Complex$' ).
tff(func_def_426,type,
sK133: ( 'Complex_set$' * 'Complex_set$' * 'Complex$' ) > 'Complex$' ).
tff(func_def_427,type,
sK134: ( 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_428,type,
sK135: ( 'A_c_prod_ell2$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_429,type,
sK136: ( 'A_c_prod_ell2$' * 'A_c_prod_ell2_set$' * 'A_c_prod_ell2_set$' ) > 'A_c_prod_ell2$' ).
tff(func_def_430,type,
sK137: '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_431,type,
sK138: '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_432,type,
sK139: '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(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$' * 'A_c_prod_ell2_set$' ) > $o ).
tff(pred_def_53,type,
sP140: 'B_d_prod_ell2$' > $o ).
tff(f3673,plain,
$false,
inference(subsumption_resolution,[],[f3666,f3374]) ).
tff(f3374,plain,
~ sP140('plus$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(superposition,[],[f3304,f2790]) ).
tff(f2790,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,[],[f1956]) ).
tff(f1956,plain,
! [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)) ),
inference(rectify,[],[f950]) ).
tff(f950,plain,
! [X2: 'B_ell2$',X0: 'D_ell2$',X1: 'D_ell2$'] : ( 'plus$u'('tensor_ell2$'(X2,X0),'tensor_ell2$'(X2,X1)) = 'tensor_ell2$'(X2,'plus$i'(X0,X1)) ),
inference(rectify,[],[f97]) ).
tff(f97,axiom,
! [X1: 'D_ell2$',X2: 'D_ell2$',X0: 'B_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(f3304,plain,
~ sP140('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$'))))),
inference(superposition,[],[f3282,f2709]) ).
tff(f2709,plain,
! [X2: 'C_ell2$',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,[],[f1886]) ).
tff(f1886,plain,
! [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$b'(X1),X2)) ),
inference(rectify,[],[f864]) ).
tff(f864,plain,
! [X0: 'C_ell2_d_ell2_cblinfun$',X2: 'C_ell2_d_ell2_cblinfun$',X1: 'C_ell2$'] : ( 'plus$i'('fun_app$u'('cblinfun_apply$b'(X0),X1),'fun_app$u'('cblinfun_apply$b'(X2),X1)) = 'fun_app$u'('cblinfun_apply$b'('fun_app$m'('fun_app$n'('plus$a',X0),X2)),X1) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X0: 'C_ell2_d_ell2_cblinfun$',X2: 'C_ell2$',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$b'(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).
tff(f3282,plain,
~ sP140('tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('fun_app$m'('fun_app$n'('plus$a','b1$'),'b2$')),'ket$b'('j$')))),
inference(superposition,[],[f3075,f2825]) ).
tff(f2825,plain,
! [X2: 'A_ell2_b_ell2_cblinfun$',X3: 'A$',X0: 'C$',X1: 'C_ell2_d_ell2_cblinfun$'] : ( 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X2),'ket$a'(X3)),'fun_app$u'('cblinfun_apply$b'(X1),'ket$b'(X0))) = 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X2,X1)),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X3),X0))) ),
inference(cnf_transformation,[],[f1990]) ).
tff(f1990,plain,
! [X0: 'C$',X1: 'C_ell2_d_ell2_cblinfun$',X2: 'A_ell2_b_ell2_cblinfun$',X3: 'A$'] : ( 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X2),'ket$a'(X3)),'fun_app$u'('cblinfun_apply$b'(X1),'ket$b'(X0))) = 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X2,X1)),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X3),X0))) ),
inference(rectify,[],[f1088]) ).
tff(f1088,plain,
! [X0: 'C$',X2: 'C_ell2_d_ell2_cblinfun$',X3: 'A_ell2_b_ell2_cblinfun$',X1: 'A$'] : ( 'tensor_ell2$'('fun_app$t'('cblinfun_apply$a'(X3),'ket$a'(X1)),'fun_app$u'('cblinfun_apply$b'(X2),'ket$b'(X0))) = 'fun_app$k'('fun_app$l'('cblinfun_apply$','tensor_op$'(X3,X2)),'fun_app$o'('ket$','fun_app$p'('fun_app$q'('pair$',X1),X0))) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X3: 'C$',X2: 'A$',X1: 'C_ell2_d_ell2_cblinfun$',X0: 'A_ell2_b_ell2_cblinfun$'] : ( '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))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom20) ).
tff(f3075,plain,
~ sP140('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$')))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP140])]) ).
tff(f3666,plain,
sP140('plus$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(superposition,[],[f3445,f2825]) ).
tff(f3445,plain,
sP140('plus$u'('tensor_ell2$'('fun_app$t'('cblinfun_apply$a'('a$'),'ket$a'('i$')),'fun_app$u'('cblinfun_apply$b'('b1$'),'ket$b'('j$'))),'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$'))))),
inference(superposition,[],[f3318,f2825]) ).
tff(f3318,plain,
sP140('plus$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(superposition,[],[f3076,f2591]) ).
tff(f2591,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$b',X1),X0)),X2) = 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$',X1),X2),'fun_app$k'('fun_app$l'('cblinfun_apply$',X0),X2)) ),
inference(cnf_transformation,[],[f1777]) ).
tff(f1777,plain,
! [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$b',X1),X0)),X2) = 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$',X1),X2),'fun_app$k'('fun_app$l'('cblinfun_apply$',X0),X2)) ),
inference(rectify,[],[f1047]) ).
tff(f1047,plain,
! [X1: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X2: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X0: 'A_c_prod_ell2$'] : ( 'fun_app$k'('fun_app$l'('cblinfun_apply$','fun_app$r'('fun_app$s'('plus$b',X2),X1)),X0) = 'plus$u'('fun_app$k'('fun_app$l'('cblinfun_apply$',X2),X0),'fun_app$k'('fun_app$l'('cblinfun_apply$',X1),X0)) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X2: 'A_c_prod_ell2$',X1: 'A_c_prod_ell2_b_d_prod_ell2_cblinfun$',X0: '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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).
tff(f3076,plain,
sP140('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$')))),
inference(inequality_splitting,[],[f2697,f3075]) ).
tff(f2697,plain,
'fun_app$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$'))),
inference(cnf_transformation,[],[f788]) ).
tff(f788,plain,
'fun_app$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
% 0.02/0.09 % Problem : ITP387_1 : TPTP v8.1.0. Released v8.0.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.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 : Tue Aug 30 00:17:35 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.13/0.49 % (2534)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.49 % (2525)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.13/0.49 % (2535)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.50 % (2526)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.13/0.51 % (2542)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.13/0.51 % (2541)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.13/0.51 % (2534)Instruction limit reached!
% 0.13/0.51 % (2534)------------------------------
% 0.13/0.51 % (2534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.51 % (2527)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.13/0.52 % (2533)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.52 % (2537)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.52 % (2534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.52 % (2534)Termination reason: Unknown
% 0.13/0.52 % (2534)Termination phase: shuffling
% 0.13/0.52
% 0.13/0.52 % (2534)Memory used [KB]: 2558
% 0.13/0.52 % (2534)Time elapsed: 0.008 s
% 0.13/0.52 % (2534)Instructions burned: 7 (million)
% 0.13/0.52 % (2534)------------------------------
% 0.13/0.52 % (2534)------------------------------
% 0.13/0.52 % (2537)Instruction limit reached!
% 0.13/0.52 % (2537)------------------------------
% 0.13/0.52 % (2537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.52 % (2537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.52 % (2537)Termination reason: Unknown
% 0.13/0.52 % (2537)Termination phase: SInE selection
% 0.13/0.52
% 0.13/0.52 % (2537)Memory used [KB]: 2174
% 0.13/0.52 % (2537)Time elapsed: 0.003 s
% 0.13/0.52 % (2537)Instructions burned: 2 (million)
% 0.13/0.52 % (2537)------------------------------
% 0.13/0.52 % (2537)------------------------------
% 0.13/0.52 % (2527)Refutation not found, incomplete strategy% (2527)------------------------------
% 0.13/0.52 % (2527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.53 % (2522)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.53 % (2543)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.53 % (2533)Instruction limit reached!
% 0.13/0.53 % (2533)------------------------------
% 0.13/0.53 % (2533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.53 % (2533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.53 % (2533)Termination reason: Unknown
% 0.13/0.53 % (2533)Termination phase: Preprocessing 1
% 0.13/0.53
% 0.13/0.53 % (2533)Memory used [KB]: 2302
% 0.13/0.53 % (2533)Time elapsed: 0.006 s
% 0.13/0.53 % (2533)Instructions burned: 4 (million)
% 0.13/0.53 % (2533)------------------------------
% 0.13/0.53 % (2533)------------------------------
% 0.13/0.53 % (2527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.53 % (2527)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.53
% 0.13/0.53 % (2527)Memory used [KB]: 7036
% 0.13/0.53 % (2527)Time elapsed: 0.120 s
% 0.13/0.53 % (2527)Instructions burned: 13 (million)
% 0.13/0.53 % (2527)------------------------------
% 0.13/0.53 % (2527)------------------------------
% 0.13/0.53 % (2521)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.54 % (2521)Instruction limit reached!
% 0.13/0.54 % (2521)------------------------------
% 0.13/0.54 % (2521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.54 % (2521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.54 % (2521)Termination reason: Unknown
% 0.13/0.54 % (2521)Termination phase: Preprocessing 1
% 0.13/0.54
% 0.13/0.54 % (2521)Memory used [KB]: 2302
% 0.13/0.54 % (2521)Time elapsed: 0.004 s
% 0.13/0.54 % (2521)Instructions burned: 3 (million)
% 0.13/0.54 % (2521)------------------------------
% 0.13/0.54 % (2521)------------------------------
% 0.13/0.54 % (2524)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.55 % (2540)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.13/0.55 % (2525)Instruction limit reached!
% 0.13/0.55 % (2525)------------------------------
% 0.13/0.55 % (2525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.55 % (2529)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.13/0.55 % (2522)Refutation not found, incomplete strategy% (2522)------------------------------
% 0.13/0.55 % (2522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.55 % (2522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.55 % (2522)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.55
% 0.13/0.55 % (2522)Memory used [KB]: 6908
% 0.13/0.55 % (2522)Time elapsed: 0.149 s
% 0.13/0.55 % (2522)Instructions burned: 11 (million)
% 0.13/0.55 % (2522)------------------------------
% 0.13/0.55 % (2522)------------------------------
% 0.13/0.56 % (2548)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.13/0.56 % (2530)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.57/0.56 % (2538)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.57/0.56 % (2525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (2525)Termination reason: Unknown
% 1.57/0.56 % (2525)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (2525)Memory used [KB]: 7164
% 1.57/0.56 % (2525)Time elapsed: 0.154 s
% 1.57/0.56 % (2525)Instructions burned: 39 (million)
% 1.57/0.56 % (2525)------------------------------
% 1.57/0.56 % (2525)------------------------------
% 1.57/0.56 % (2532)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.57 % (2535)Instruction limit reached!
% 1.57/0.57 % (2535)------------------------------
% 1.57/0.57 % (2535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (2536)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.57/0.57 % (2546)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.57/0.57 % (2536)Instruction limit reached!
% 1.57/0.57 % (2536)------------------------------
% 1.57/0.57 % (2536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (2536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (2536)Termination reason: Unknown
% 1.57/0.57 % (2536)Termination phase: Preprocessing 1
% 1.57/0.57
% 1.57/0.57 % (2536)Memory used [KB]: 2302
% 1.57/0.57 % (2536)Time elapsed: 0.004 s
% 1.57/0.57 % (2536)Instructions burned: 4 (million)
% 1.57/0.57 % (2536)------------------------------
% 1.57/0.57 % (2536)------------------------------
% 1.57/0.57 % (2547)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.57/0.57 % (2545)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.57 % (2524)Instruction limit reached!
% 1.57/0.57 % (2524)------------------------------
% 1.57/0.57 % (2524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (2524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (2524)Termination reason: Unknown
% 1.57/0.57 % (2524)Termination phase: Preprocessing 3
% 1.57/0.57
% 1.57/0.57 % (2524)Memory used [KB]: 3070
% 1.57/0.57 % (2524)Time elapsed: 0.014 s
% 1.57/0.57 % (2524)Instructions burned: 16 (million)
% 1.57/0.57 % (2524)------------------------------
% 1.57/0.57 % (2524)------------------------------
% 1.57/0.58 % (2526)Instruction limit reached!
% 1.57/0.58 % (2526)------------------------------
% 1.57/0.58 % (2526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (2526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (2526)Termination reason: Unknown
% 1.57/0.58 % (2526)Termination phase: Property scanning
% 1.57/0.58
% 1.57/0.58 % (2526)Memory used [KB]: 3582
% 1.57/0.58 % (2526)Time elapsed: 0.030 s
% 1.57/0.58 % (2526)Instructions burned: 40 (million)
% 1.57/0.58 % (2526)------------------------------
% 1.57/0.58 % (2526)------------------------------
% 1.57/0.58 % (2535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (2535)Termination reason: Unknown
% 1.57/0.58 % (2535)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (2535)Memory used [KB]: 3709
% 1.57/0.58 % (2535)Time elapsed: 0.041 s
% 1.57/0.58 % (2535)Instructions burned: 51 (million)
% 1.57/0.58 % (2535)------------------------------
% 1.57/0.58 % (2535)------------------------------
% 1.80/0.58 % (2530)Instruction limit reached!
% 1.80/0.58 % (2530)------------------------------
% 1.80/0.58 % (2530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (2530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (2530)Termination reason: Unknown
% 1.80/0.58 % (2530)Termination phase: Preprocessing 1
% 1.80/0.58
% 1.80/0.58 % (2530)Memory used [KB]: 2430
% 1.80/0.58 % (2530)Time elapsed: 0.007 s
% 1.80/0.58 % (2530)Instructions burned: 8 (million)
% 1.80/0.58 % (2530)------------------------------
% 1.80/0.58 % (2530)------------------------------
% 1.80/0.58 % (2528)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.80/0.58 % (2538)Instruction limit reached!
% 1.80/0.58 % (2538)------------------------------
% 1.80/0.58 % (2538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58 % (2538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58 % (2538)Termination reason: Unknown
% 1.80/0.58 % (2538)Termination phase: Property scanning
% 1.80/0.58
% 1.80/0.58 % (2538)Memory used [KB]: 2430
% 1.80/0.58 % (2538)Time elapsed: 0.009 s
% 1.80/0.58 % (2538)Instructions burned: 12 (million)
% 1.80/0.58 % (2538)------------------------------
% 1.80/0.58 % (2538)------------------------------
% 1.80/0.58 % (2529)Instruction limit reached!
% 1.80/0.58 % (2529)------------------------------
% 1.80/0.58 % (2529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (2519)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.80/0.59 % (2523)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.80/0.59 % (2547)Instruction limit reached!
% 1.80/0.59 % (2547)------------------------------
% 1.80/0.59 % (2547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (2547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (2547)Termination reason: Unknown
% 1.80/0.59 % (2547)Termination phase: Preprocessing 2
% 1.80/0.59
% 1.80/0.59 % (2547)Memory used [KB]: 2686
% 1.80/0.59 % (2547)Time elapsed: 0.008 s
% 1.80/0.59 % (2547)Instructions burned: 8 (million)
% 1.80/0.59 % (2547)------------------------------
% 1.80/0.59 % (2547)------------------------------
% 1.80/0.59 % (2520)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.80/0.59 % (2542)Instruction limit reached!
% 1.80/0.59 % (2542)------------------------------
% 1.80/0.59 % (2542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (2529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (2529)Termination reason: Unknown
% 1.80/0.59 % (2529)Termination phase: Naming
% 1.80/0.59
% 1.80/0.59 % (2529)Memory used [KB]: 2814
% 1.80/0.59 % (2529)Time elapsed: 0.011 s
% 1.80/0.59 % (2529)Instructions burned: 12 (million)
% 1.80/0.59 % (2529)------------------------------
% 1.80/0.59 % (2529)------------------------------
% 1.80/0.60 % (2543)Instruction limit reached!
% 1.80/0.60 % (2543)------------------------------
% 1.80/0.60 % (2543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (2543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (2543)Termination reason: Unknown
% 1.80/0.60 % (2543)Termination phase: Property scanning
% 1.80/0.60
% 1.80/0.60 % (2543)Memory used [KB]: 3582
% 1.80/0.60 % (2543)Time elapsed: 0.047 s
% 1.80/0.60 % (2543)Instructions burned: 51 (million)
% 1.80/0.60 % (2543)------------------------------
% 1.80/0.60 % (2543)------------------------------
% 1.80/0.60 % (2542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (2542)Termination reason: Unknown
% 1.80/0.60 % (2542)Termination phase: Property scanning
% 1.80/0.60
% 1.80/0.60 % (2542)Memory used [KB]: 3582
% 1.80/0.60 % (2542)Time elapsed: 0.032 s
% 1.80/0.60 % (2542)Instructions burned: 45 (million)
% 1.80/0.60 % (2542)------------------------------
% 1.80/0.60 % (2542)------------------------------
% 1.80/0.61 % (2548)Instruction limit reached!
% 1.80/0.61 % (2548)------------------------------
% 1.80/0.61 % (2548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (2548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (2548)Termination reason: Unknown
% 1.80/0.61 % (2548)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (2548)Memory used [KB]: 7164
% 1.80/0.61 % (2548)Time elapsed: 0.195 s
% 1.80/0.61 % (2548)Instructions burned: 24 (million)
% 1.80/0.61 % (2548)------------------------------
% 1.80/0.61 % (2548)------------------------------
% 1.80/0.61 % (2523)Instruction limit reached!
% 1.80/0.61 % (2523)------------------------------
% 1.80/0.61 % (2523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (2523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (2523)Termination reason: Unknown
% 1.80/0.61 % (2523)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (2523)Memory used [KB]: 7036
% 1.80/0.61 % (2523)Time elapsed: 0.207 s
% 1.80/0.61 % (2523)Instructions burned: 13 (million)
% 1.80/0.61 % (2523)------------------------------
% 1.80/0.61 % (2523)------------------------------
% 1.80/0.62 % (2528)Refutation not found, incomplete strategy% (2528)------------------------------
% 1.80/0.62 % (2528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (2528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (2528)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.62
% 1.80/0.62 % (2528)Memory used [KB]: 7164
% 1.80/0.62 % (2528)Time elapsed: 0.171 s
% 1.80/0.62 % (2528)Instructions burned: 17 (million)
% 1.80/0.62 % (2528)------------------------------
% 1.80/0.62 % (2528)------------------------------
% 1.80/0.62 % (2539)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.80/0.62 % (2546)Instruction limit reached!
% 1.80/0.62 % (2546)------------------------------
% 1.80/0.62 % (2546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (2546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (2546)Termination reason: Unknown
% 1.80/0.62 % (2546)Termination phase: Preprocessing 3
% 1.80/0.62
% 1.80/0.62 % (2546)Memory used [KB]: 3326
% 1.80/0.62 % (2546)Time elapsed: 0.018 s
% 1.80/0.62 % (2546)Instructions burned: 25 (million)
% 1.80/0.62 % (2546)------------------------------
% 1.80/0.62 % (2546)------------------------------
% 1.80/0.62 % (2544)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.80/0.63 % (2531)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.80/0.63 % (2520)Refutation not found, incomplete strategy% (2520)------------------------------
% 1.80/0.63 % (2520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (2520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (2520)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.63
% 1.80/0.63 % (2520)Memory used [KB]: 7036
% 1.80/0.63 % (2520)Time elapsed: 0.176 s
% 1.80/0.63 % (2520)Instructions burned: 11 (million)
% 1.80/0.63 % (2520)------------------------------
% 1.80/0.63 % (2520)------------------------------
% 2.17/0.65 % (2541)Instruction limit reached!
% 2.17/0.65 % (2541)------------------------------
% 2.17/0.65 % (2541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (2541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (2541)Termination reason: Unknown
% 2.17/0.65 % (2541)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (2541)Memory used [KB]: 8443
% 2.17/0.65 % (2541)Time elapsed: 0.233 s
% 2.17/0.65 % (2541)Instructions burned: 83 (million)
% 2.17/0.65 % (2541)------------------------------
% 2.17/0.65 % (2541)------------------------------
% 2.23/0.68 % (2531)Instruction limit reached!
% 2.23/0.68 % (2531)------------------------------
% 2.23/0.68 % (2531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (2531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (2531)Termination reason: Unknown
% 2.23/0.68 % (2531)Termination phase: Preprocessing 3
% 2.23/0.68
% 2.23/0.68 % (2531)Memory used [KB]: 2942
% 2.23/0.68 % (2531)Time elapsed: 0.014 s
% 2.23/0.68 % (2531)Instructions burned: 16 (million)
% 2.23/0.68 % (2531)------------------------------
% 2.23/0.68 % (2531)------------------------------
% 2.23/0.69 % (2555)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.23/0.69 % (2551)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.23/0.69 % (2552)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.23/0.69 % (2532)Instruction limit reached!
% 2.23/0.69 % (2532)------------------------------
% 2.23/0.69 % (2532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (2532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (2532)Termination reason: Unknown
% 2.23/0.69 % (2532)Termination phase: Saturation
% 2.23/0.69
% 2.23/0.69 % (2532)Memory used [KB]: 7419
% 2.23/0.69 % (2532)Time elapsed: 0.265 s
% 2.23/0.69 % (2532)Instructions burned: 51 (million)
% 2.23/0.69 % (2532)------------------------------
% 2.23/0.69 % (2532)------------------------------
% 2.23/0.70 % (2552)Instruction limit reached!
% 2.23/0.70 % (2552)------------------------------
% 2.23/0.70 % (2552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (2552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (2552)Termination reason: Unknown
% 2.23/0.70 % (2552)Termination phase: Saturation
% 2.23/0.70
% 2.23/0.70 % (2552)Memory used [KB]: 2302
% 2.23/0.70 % (2552)Time elapsed: 0.013 s
% 2.23/0.70 % (2552)Instructions burned: 8 (million)
% 2.23/0.70 % (2552)------------------------------
% 2.23/0.70 % (2552)------------------------------
% 2.23/0.70 % (2539)Instruction limit reached!
% 2.23/0.70 % (2539)------------------------------
% 2.23/0.70 % (2539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (2539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (2539)Termination reason: Unknown
% 2.23/0.70 % (2539)Termination phase: Function definition elimination
% 2.23/0.70
% 2.23/0.70 % (2539)Memory used [KB]: 3070
% 2.23/0.70 % (2539)Time elapsed: 0.023 s
% 2.23/0.70 % (2539)Instructions burned: 31 (million)
% 2.23/0.70 % (2539)------------------------------
% 2.23/0.70 % (2539)------------------------------
% 2.23/0.72 % (2551)Refutation not found, incomplete strategy% (2551)------------------------------
% 2.23/0.72 % (2551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.72 % (2551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.72 % (2551)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.72
% 2.23/0.72 % (2551)Memory used [KB]: 6908
% 2.23/0.72 % (2551)Time elapsed: 0.136 s
% 2.23/0.72 % (2551)Instructions burned: 11 (million)
% 2.23/0.72 % (2551)------------------------------
% 2.23/0.72 % (2551)------------------------------
% 2.44/0.73 % (2556)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.44/0.73 % (2554)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.44/0.74 % (2558)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.44/0.74 % (2553)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.44/0.75 % (2561)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.44/0.76 % (2560)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.44/0.76 % (2540)Instruction limit reached!
% 2.44/0.76 % (2540)------------------------------
% 2.44/0.76 % (2540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.77 % (2540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.77 % (2540)Termination reason: Unknown
% 2.51/0.77 % (2540)Termination phase: Saturation
% 2.51/0.77
% 2.51/0.77 % (2540)Memory used [KB]: 9722
% 2.51/0.77 % (2540)Time elapsed: 0.339 s
% 2.51/0.77 % (2540)Instructions burned: 99 (million)
% 2.51/0.77 % (2540)------------------------------
% 2.51/0.77 % (2540)------------------------------
% 2.51/0.77 % (2553)Refutation not found, incomplete strategy% (2553)------------------------------
% 2.51/0.77 % (2553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.77 % (2553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.77 % (2553)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.77
% 2.51/0.77 % (2553)Memory used [KB]: 6908
% 2.51/0.77 % (2553)Time elapsed: 0.177 s
% 2.51/0.77 % (2553)Instructions burned: 12 (million)
% 2.51/0.77 % (2553)------------------------------
% 2.51/0.77 % (2553)------------------------------
% 2.51/0.77 % (2559)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.51/0.78 % (2567)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.51/0.78 % (2557)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.51/0.79 % (2568)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.51/0.79 % (2562)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.51/0.80 % (2563)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.51/0.80 % (2566)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.51/0.80 % (2557)Refutation not found, incomplete strategy% (2557)------------------------------
% 2.51/0.80 % (2557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.80 % (2557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.80 % (2557)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.80
% 2.51/0.80 % (2557)Memory used [KB]: 6908
% 2.51/0.80 % (2557)Time elapsed: 0.180 s
% 2.51/0.80 % (2557)Instructions burned: 10 (million)
% 2.51/0.80 % (2557)------------------------------
% 2.51/0.80 % (2557)------------------------------
% 2.51/0.81 % (2565)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.51/0.81 % (2545)Instruction limit reached!
% 2.51/0.81 % (2545)------------------------------
% 2.51/0.81 % (2545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.81 % (2545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.81 % (2545)Termination reason: Unknown
% 2.51/0.81 % (2545)Termination phase: Saturation
% 2.51/0.81
% 2.51/0.81 % (2545)Memory used [KB]: 5884
% 2.51/0.81 % (2545)Time elapsed: 0.074 s
% 2.51/0.81 % (2545)Instructions burned: 99 (million)
% 2.51/0.81 % (2545)------------------------------
% 2.51/0.81 % (2545)------------------------------
% 2.51/0.81 % (2564)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.51/0.83 % (2570)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/19Mi)
% 2.51/0.83 % (2556)Instruction limit reached!
% 2.51/0.83 % (2556)------------------------------
% 2.51/0.83 % (2556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.83 % (2573)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/10Mi)
% 2.51/0.83 % (2556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.83 % (2556)Termination reason: Unknown
% 2.51/0.83 % (2556)Termination phase: Saturation
% 2.51/0.83
% 2.51/0.83 % (2556)Memory used [KB]: 7419
% 2.51/0.83 % (2556)Time elapsed: 0.192 s
% 2.51/0.83 % (2556)Instructions burned: 56 (million)
% 2.51/0.83 % (2556)------------------------------
% 2.51/0.83 % (2556)------------------------------
% 2.51/0.83 % (2566)Instruction limit reached!
% 2.51/0.83 % (2566)------------------------------
% 2.51/0.83 % (2566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.83 % (2566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.83 % (2566)Termination reason: Unknown
% 2.51/0.83 % (2566)Termination phase: Preprocessing 3
% 2.51/0.83
% 2.51/0.83 % (2566)Memory used [KB]: 3070
% 2.51/0.83 % (2566)Time elapsed: 0.012 s
% 2.51/0.83 % (2566)Instructions burned: 15 (million)
% 2.51/0.83 % (2566)------------------------------
% 2.51/0.83 % (2566)------------------------------
% 2.86/0.84 % (2573)Instruction limit reached!
% 2.86/0.84 % (2573)------------------------------
% 2.86/0.84 % (2573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.84 % (2573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.84 % (2573)Termination reason: Unknown
% 2.86/0.84 % (2573)Termination phase: Saturation
% 2.86/0.84
% 2.86/0.84 % (2573)Memory used [KB]: 6908
% 2.86/0.84 % (2573)Time elapsed: 0.011 s
% 2.86/0.84 % (2573)Instructions burned: 10 (million)
% 2.86/0.84 % (2573)------------------------------
% 2.86/0.84 % (2573)------------------------------
% 2.86/0.84 % (2571)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/341Mi)
% 2.86/0.84 % (2558)Instruction limit reached!
% 2.86/0.84 % (2558)------------------------------
% 2.86/0.84 % (2558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.84 % (2558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.84 % (2558)Termination reason: Unknown
% 2.86/0.84 % (2558)Termination phase: Property scanning
% 2.86/0.84
% 2.86/0.84 % (2558)Memory used [KB]: 3582
% 2.86/0.84 % (2558)Time elapsed: 0.029 s
% 2.86/0.84 % (2558)Instructions burned: 42 (million)
% 2.86/0.84 % (2558)------------------------------
% 2.86/0.84 % (2558)------------------------------
% 2.86/0.85 % (2572)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/237Mi)
% 2.86/0.85 % (2567)Instruction limit reached!
% 2.86/0.85 % (2567)------------------------------
% 2.86/0.85 % (2567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.85 % (2567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.85 % (2567)Termination reason: Unknown
% 2.86/0.85 % (2567)Termination phase: Property scanning
% 2.86/0.85
% 2.86/0.85 % (2567)Memory used [KB]: 3454
% 2.86/0.85 % (2567)Time elapsed: 0.047 s
% 2.86/0.85 % (2567)Instructions burned: 33 (million)
% 2.86/0.85 % (2567)------------------------------
% 2.86/0.85 % (2567)------------------------------
% 2.86/0.85 % (2569)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 2.86/0.86 % (2559)Instruction limit reached!
% 2.86/0.86 % (2559)------------------------------
% 2.86/0.86 % (2559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.86 % (2559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.86 % (2559)Termination reason: Unknown
% 2.86/0.86 % (2559)Termination phase: Property scanning
% 2.86/0.86
% 2.86/0.86 % (2559)Memory used [KB]: 3454
% 2.86/0.86 % (2559)Time elapsed: 0.023 s
% 2.86/0.86 % (2559)Instructions burned: 32 (million)
% 2.86/0.86 % (2559)------------------------------
% 2.86/0.86 % (2559)------------------------------
% 2.86/0.86 % (2576)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.86/0.87 % (2571)Refutation not found, incomplete strategy% (2571)------------------------------
% 2.86/0.87 % (2571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.87 % (2571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.87 % (2571)Termination reason: Refutation not found, incomplete strategy
% 2.86/0.87
% 2.86/0.87 % (2571)Memory used [KB]: 6908
% 2.86/0.87 % (2571)Time elapsed: 0.197 s
% 2.86/0.87 % (2571)Instructions burned: 10 (million)
% 2.86/0.87 % (2571)------------------------------
% 2.86/0.87 % (2571)------------------------------
% 2.86/0.87 % (2554)Instruction limit reached!
% 2.86/0.87 % (2554)------------------------------
% 2.86/0.87 % (2554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.87 % (2554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.87 % (2554)Termination reason: Unknown
% 2.86/0.87 % (2554)Termination phase: Saturation
% 2.86/0.87
% 2.86/0.87 % (2554)Memory used [KB]: 4477
% 2.86/0.87 % (2554)Time elapsed: 0.045 s
% 2.86/0.87 % (2554)Instructions burned: 69 (million)
% 2.86/0.87 % (2554)------------------------------
% 2.86/0.87 % (2554)------------------------------
% 2.86/0.87 % (2544)Instruction limit reached!
% 2.86/0.87 % (2544)------------------------------
% 2.86/0.87 % (2544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.87 % (2544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.87 % (2544)Termination reason: Unknown
% 2.86/0.87 % (2544)Termination phase: Saturation
% 2.86/0.87
% 2.86/0.87 % (2544)Memory used [KB]: 8955
% 2.86/0.87 % (2544)Time elapsed: 0.469 s
% 2.86/0.87 % (2544)Instructions burned: 95 (million)
% 2.86/0.87 % (2544)------------------------------
% 2.86/0.87 % (2544)------------------------------
% 3.27/0.88 % (2569)Refutation not found, incomplete strategy% (2569)------------------------------
% 3.27/0.88 % (2569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.88 % (2570)Instruction limit reached!
% 3.27/0.88 % (2570)------------------------------
% 3.27/0.88 % (2570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.88 % (2569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.88 % (2569)Termination reason: Refutation not found, incomplete strategy
% 3.27/0.88
% 3.27/0.88 % (2574)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/472Mi)
% 3.27/0.88 % (2569)Memory used [KB]: 6908
% 3.27/0.88 % (2569)Time elapsed: 0.214 s
% 3.27/0.88 % (2569)Instructions burned: 9 (million)
% 3.27/0.88 % (2569)------------------------------
% 3.27/0.88 % (2569)------------------------------
% 3.27/0.89 % (2570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.89 % (2570)Termination reason: Unknown
% 3.27/0.89 % (2570)Termination phase: Preprocessing 3
% 3.27/0.89
% 3.27/0.89 % (2570)Memory used [KB]: 3198
% 3.27/0.89 % (2570)Time elapsed: 0.015 s
% 3.27/0.89 % (2570)Instructions burned: 19 (million)
% 3.27/0.89 % (2570)------------------------------
% 3.27/0.89 % (2570)------------------------------
% 3.27/0.91 % (2575)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.27/0.91 % (2574)Refutation not found, incomplete strategy% (2574)------------------------------
% 3.27/0.91 % (2574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.91 % (2574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.91 % (2574)Termination reason: Refutation not found, incomplete strategy
% 3.27/0.91
% 3.27/0.91 % (2574)Memory used [KB]: 6908
% 3.27/0.91 % (2574)Time elapsed: 0.189 s
% 3.27/0.91 % (2574)Instructions burned: 10 (million)
% 3.27/0.91 % (2574)------------------------------
% 3.27/0.91 % (2574)------------------------------
% 3.27/0.91 % (2560)Instruction limit reached!
% 3.27/0.91 % (2560)------------------------------
% 3.27/0.91 % (2560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.91 % (2560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.91 % (2560)Termination reason: Unknown
% 3.27/0.91 % (2560)Termination phase: Saturation
% 3.27/0.91
% 3.27/0.91 % (2560)Memory used [KB]: 3837
% 3.27/0.91 % (2560)Time elapsed: 0.044 s
% 3.27/0.91 % (2560)Instructions burned: 68 (million)
% 3.27/0.91 % (2560)------------------------------
% 3.27/0.91 % (2560)------------------------------
% 3.27/0.92 % (2561)Instruction limit reached!
% 3.27/0.92 % (2561)------------------------------
% 3.27/0.92 % (2561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.92 % (2575)Instruction limit reached!
% 3.27/0.92 % (2575)------------------------------
% 3.27/0.92 % (2575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.92 % (2561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.92 % (2561)Termination reason: Unknown
% 3.27/0.92 % (2561)Termination phase: Saturation
% 3.27/0.92
% 3.27/0.92 % (2561)Memory used [KB]: 4605
% 3.27/0.92 % (2561)Time elapsed: 0.053 s
% 3.27/0.92 % (2561)Instructions burned: 84 (million)
% 3.27/0.92 % (2561)------------------------------
% 3.27/0.92 % (2561)------------------------------
% 3.27/0.92 % (2578)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 3.27/0.93 % (2580)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/393Mi)
% 3.27/0.93 % (2555)Instruction limit reached!
% 3.27/0.93 % (2555)------------------------------
% 3.27/0.93 % (2555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.93 % (2555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.93 % (2555)Termination reason: Unknown
% 3.27/0.93 % (2555)Termination phase: Saturation
% 3.27/0.93
% 3.27/0.93 % (2555)Memory used [KB]: 4349
% 3.27/0.93 % (2555)Time elapsed: 0.291 s
% 3.27/0.93 % (2555)Instructions burned: 107 (million)
% 3.27/0.93 % (2555)------------------------------
% 3.27/0.93 % (2555)------------------------------
% 3.27/0.93 % (2575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.93 % (2575)Termination reason: Unknown
% 3.27/0.93 % (2575)Termination phase: Saturation
% 3.27/0.93
% 3.27/0.93 % (2575)Memory used [KB]: 7164
% 3.27/0.93 % (2575)Time elapsed: 0.193 s
% 3.27/0.93 % (2575)Instructions burned: 22 (million)
% 3.27/0.93 % (2575)------------------------------
% 3.27/0.93 % (2575)------------------------------
% 3.69/0.94 % (2577)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.69/0.95 % (2580)Refutation not found, incomplete strategy% (2580)------------------------------
% 3.69/0.95 % (2580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.96 % (2580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.96 % (2580)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.96
% 3.76/0.96 % (2580)Memory used [KB]: 7036
% 3.76/0.96 % (2580)Time elapsed: 0.081 s
% 3.76/0.96 % (2580)Instructions burned: 13 (million)
% 3.76/0.96 % (2580)------------------------------
% 3.76/0.96 % (2580)------------------------------
% 3.76/0.97 % (2565)Refutation not found, incomplete strategy% (2565)------------------------------
% 3.76/0.97 % (2565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.97 % (2565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.97 % (2565)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.97
% 3.76/0.97 % (2565)Memory used [KB]: 8955
% 3.76/0.97 % (2565)Time elapsed: 0.331 s
% 3.76/0.97 % (2565)Instructions burned: 70 (million)
% 3.76/0.97 % (2565)------------------------------
% 3.76/0.97 % (2565)------------------------------
% 3.76/0.98 % (2581)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 3.76/0.98 % (2577)Refutation not found, incomplete strategy% (2577)------------------------------
% 3.76/0.98 % (2577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.98 % (2577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.98 % (2577)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.98
% 3.76/0.98 % (2577)Memory used [KB]: 2430
% 3.76/0.98 % (2577)Time elapsed: 0.228 s
% 3.76/0.98 % (2577)Instructions burned: 13 (million)
% 3.76/0.98 % (2577)------------------------------
% 3.76/0.98 % (2577)------------------------------
% 3.76/1.01 % (2588)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/377Mi)
% 3.76/1.01 % (2581)Refutation not found, incomplete strategy% (2581)------------------------------
% 3.76/1.01 % (2581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/1.01 % (2581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/1.01 % (2581)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.01
% 3.76/1.01 % (2581)Memory used [KB]: 7164
% 3.76/1.01 % (2581)Time elapsed: 0.189 s
% 3.76/1.01 % (2581)Instructions burned: 16 (million)
% 3.76/1.01 % (2581)------------------------------
% 3.76/1.01 % (2581)------------------------------
% 4.06/1.02 % (2576)Refutation not found, incomplete strategy% (2576)------------------------------
% 4.06/1.02 % (2576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.02 % (2576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.02 % (2576)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.02
% 4.06/1.02 % (2576)Memory used [KB]: 8699
% 4.06/1.02 % (2576)Time elapsed: 0.248 s
% 4.06/1.02 % (2576)Instructions burned: 70 (million)
% 4.06/1.02 % (2576)------------------------------
% 4.06/1.02 % (2576)------------------------------
% 4.06/1.02 % (2583)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 4.06/1.02 % (2563)Instruction limit reached!
% 4.06/1.02 % (2563)------------------------------
% 4.06/1.02 % (2563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.02 % (2563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.02 % (2563)Termination reason: Unknown
% 4.06/1.02 % (2563)Termination phase: Saturation
% 4.06/1.02
% 4.06/1.02 % (2563)Memory used [KB]: 8955
% 4.06/1.02 % (2563)Time elapsed: 0.395 s
% 4.06/1.02 % (2563)Instructions burned: 93 (million)
% 4.06/1.02 % (2563)------------------------------
% 4.06/1.02 % (2563)------------------------------
% 4.06/1.03 % (2582)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/93Mi)
% 4.06/1.03 % (2585)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/222Mi)
% 4.06/1.05 % (2587)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/79Mi)
% 4.06/1.05 % (2586)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/86Mi)
% 4.06/1.07 % (2584)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/221Mi)
% 4.06/1.07 % (2594)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 4.06/1.07 % (2589)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/118Mi)
% 4.06/1.08 % (2568)Instruction limit reached!
% 4.06/1.08 % (2568)------------------------------
% 4.06/1.08 % (2568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.08 % (2568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.08 % (2568)Termination reason: Unknown
% 4.06/1.08 % (2568)Termination phase: Saturation
% 4.06/1.08
% 4.06/1.08 % (2568)Memory used [KB]: 9210
% 4.06/1.08 % (2568)Time elapsed: 0.422 s
% 4.06/1.08 % (2568)Instructions burned: 150 (million)
% 4.06/1.08 % (2568)------------------------------
% 4.06/1.08 % (2568)------------------------------
% 4.06/1.08 % (2596)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/366Mi)
% 4.06/1.08 % (2564)Instruction limit reached!
% 4.06/1.08 % (2564)------------------------------
% 4.06/1.08 % (2564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.08 % (2564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.08 % (2564)Termination reason: Unknown
% 4.06/1.08 % (2564)Termination phase: Saturation
% 4.06/1.08
% 4.06/1.08 % (2564)Memory used [KB]: 8059
% 4.06/1.08 % (2564)Time elapsed: 0.449 s
% 4.06/1.08 % (2564)Instructions burned: 109 (million)
% 4.06/1.08 % (2564)------------------------------
% 4.06/1.08 % (2564)------------------------------
% 4.06/1.08 % (2562)Instruction limit reached!
% 4.06/1.08 % (2562)------------------------------
% 4.06/1.08 % (2562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.06/1.08 % (2562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.06/1.08 % (2562)Termination reason: Unknown
% 4.06/1.08 % (2562)Termination phase: Saturation
% 4.06/1.08
% 4.06/1.08 % (2562)Memory used [KB]: 8187
% 4.06/1.08 % (2562)Time elapsed: 0.422 s
% 4.06/1.08 % (2562)Instructions burned: 132 (million)
% 4.06/1.08 % (2562)------------------------------
% 4.06/1.08 % (2562)------------------------------
% 5.72/1.09 % (2597)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/424Mi)
% 5.72/1.09 % (2583)Instruction limit reached!
% 5.72/1.09 % (2583)------------------------------
% 5.72/1.09 % (2583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.09 % (2583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.09 % (2583)Termination reason: Unknown
% 5.72/1.09 % (2583)Termination phase: Property scanning
% 5.72/1.09
% 5.72/1.09 % (2583)Memory used [KB]: 3454
% 5.72/1.09 % (2583)Time elapsed: 0.017 s
% 5.72/1.09 % (2583)Instructions burned: 24 (million)
% 5.72/1.09 % (2583)------------------------------
% 5.72/1.09 % (2583)------------------------------
% 5.72/1.09 % (2592)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8Mi)
% 5.72/1.10 % (2598)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/753Mi)
% 5.72/1.11 % (2591)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 5.72/1.11 % (2590)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/34Mi)
% 5.72/1.12 % (2595)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/357Mi)
% 5.72/1.12 % (2592)Instruction limit reached!
% 5.72/1.12 % (2592)------------------------------
% 5.72/1.12 % (2592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.12 % (2592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.12 % (2592)Termination reason: Unknown
% 5.72/1.12 % (2592)Termination phase: Preprocessing 2
% 5.72/1.12
% 5.72/1.12 % (2592)Memory used [KB]: 2686
% 5.72/1.12 % (2592)Time elapsed: 0.008 s
% 5.72/1.12 % (2592)Instructions burned: 9 (million)
% 5.72/1.12 % (2592)------------------------------
% 5.72/1.12 % (2592)------------------------------
% 5.72/1.13 % (2600)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1000Mi)
% 5.72/1.13 % (2593)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/390Mi)
% 5.72/1.13 % (2594)Instruction limit reached!
% 5.72/1.13 % (2594)------------------------------
% 5.72/1.13 % (2594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.13 % (2594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.13 % (2594)Termination reason: Unknown
% 5.72/1.13 % (2594)Termination phase: Property scanning
% 5.72/1.13
% 5.72/1.13 % (2594)Memory used [KB]: 3198
% 5.72/1.13 % (2594)Time elapsed: 0.018 s
% 5.72/1.13 % (2594)Instructions burned: 25 (million)
% 5.72/1.13 % (2594)------------------------------
% 5.72/1.13 % (2594)------------------------------
% 5.72/1.15 % (2593)Refutation not found, incomplete strategy% (2593)------------------------------
% 5.72/1.15 % (2593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.15 % (2593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.15 % (2593)Termination reason: Refutation not found, incomplete strategy
% 5.72/1.15
% 5.72/1.15 % (2593)Memory used [KB]: 7036
% 5.72/1.15 % (2593)Time elapsed: 0.213 s
% 5.72/1.15 % (2593)Instructions burned: 13 (million)
% 5.72/1.15 % (2593)------------------------------
% 5.72/1.15 % (2593)------------------------------
% 5.72/1.16 % (2601)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/149Mi)
% 5.72/1.17 % (2599)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/288Mi)
% 6.42/1.18 % (2590)Instruction limit reached!
% 6.42/1.18 % (2590)------------------------------
% 6.42/1.18 % (2590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.42/1.18 % (2590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.42/1.18 % (2590)Termination reason: Unknown
% 6.42/1.18 % (2590)Termination phase: Function definition elimination
% 6.42/1.18
% 6.42/1.18 % (2590)Memory used [KB]: 3454
% 6.42/1.18 % (2590)Time elapsed: 0.026 s
% 6.42/1.18 % (2590)Instructions burned: 35 (million)
% 6.42/1.18 % (2590)------------------------------
% 6.42/1.18 % (2590)------------------------------
% 6.64/1.23 % (2602)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/35Mi)
% 6.64/1.23 % (2605)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/45Mi)
% 6.64/1.23 % (2603)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/377Mi)
% 6.64/1.23 % (2587)Instruction limit reached!
% 6.64/1.23 % (2587)------------------------------
% 6.64/1.23 % (2587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.23 % (2587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.23 % (2587)Termination reason: Unknown
% 6.64/1.23 % (2587)Termination phase: Saturation
% 6.64/1.23
% 6.64/1.23 % (2587)Memory used [KB]: 8571
% 6.64/1.23 % (2587)Time elapsed: 0.331 s
% 6.64/1.23 % (2587)Instructions burned: 79 (million)
% 6.64/1.23 % (2587)------------------------------
% 6.64/1.23 % (2587)------------------------------
% 6.81/1.24 % (2604)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/300Mi)
% 6.81/1.24 % (2586)Instruction limit reached!
% 6.81/1.24 % (2586)------------------------------
% 6.81/1.24 % (2586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.24 % (2586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.24 % (2586)Termination reason: Unknown
% 6.81/1.24 % (2586)Termination phase: Saturation
% 6.81/1.24
% 6.81/1.24 % (2586)Memory used [KB]: 8443
% 6.81/1.24 % (2586)Time elapsed: 0.346 s
% 6.81/1.24 % (2586)Instructions burned: 86 (million)
% 6.81/1.24 % (2586)------------------------------
% 6.81/1.24 % (2586)------------------------------
% 6.81/1.26 % (2578)Instruction limit reached!
% 6.81/1.26 % (2578)------------------------------
% 6.81/1.26 % (2578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.26 % (2578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.26 % (2578)Termination reason: Unknown
% 6.81/1.26 % (2578)Termination phase: Saturation
% 6.81/1.26
% 6.81/1.26 % (2578)Memory used [KB]: 8955
% 6.81/1.26 % (2578)Time elapsed: 0.509 s
% 6.81/1.26 % (2578)Instructions burned: 138 (million)
% 6.81/1.26 % (2578)------------------------------
% 6.81/1.26 % (2578)------------------------------
% 6.81/1.26 % (2606)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/23Mi)
% 6.81/1.28 % (2582)Instruction limit reached!
% 6.81/1.28 % (2582)------------------------------
% 6.81/1.28 % (2582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.28 % (2582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.28 % (2582)Termination reason: Unknown
% 6.81/1.28 % (2582)Termination phase: Saturation
% 6.81/1.28
% 6.81/1.28 % (2582)Memory used [KB]: 8571
% 6.81/1.28 % (2582)Time elapsed: 0.391 s
% 6.81/1.28 % (2582)Instructions burned: 93 (million)
% 6.81/1.28 % (2582)------------------------------
% 6.81/1.28 % (2582)------------------------------
% 6.81/1.29 % (2600)Refutation not found, incomplete strategy% (2600)------------------------------
% 6.81/1.29 % (2600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.29 % (2600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.29 % (2600)Termination reason: Refutation not found, incomplete strategy
% 6.81/1.29
% 6.81/1.29 % (2600)Memory used [KB]: 9338
% 6.81/1.29 % (2600)Time elapsed: 0.228 s
% 6.81/1.29 % (2600)Instructions burned: 81 (million)
% 6.81/1.29 % (2600)------------------------------
% 6.81/1.29 % (2600)------------------------------
% 6.81/1.30 % (2602)Refutation not found, incomplete strategy% (2602)------------------------------
% 6.81/1.30 % (2602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.30 % (2602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.30 % (2602)Termination reason: Refutation not found, incomplete strategy
% 6.81/1.30
% 6.81/1.30 % (2602)Memory used [KB]: 7036
% 6.81/1.30 % (2602)Time elapsed: 0.255 s
% 6.81/1.30 % (2602)Instructions burned: 21 (million)
% 6.81/1.30 % (2602)------------------------------
% 6.81/1.30 % (2602)------------------------------
% 6.81/1.30 % (2607)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/136Mi)
% 6.81/1.30 % (2606)Instruction limit reached!
% 6.81/1.30 % (2606)------------------------------
% 6.81/1.30 % (2606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.81/1.30 % (2606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.81/1.30 % (2606)Termination reason: Unknown
% 6.81/1.30 % (2606)Termination phase: Property scanning
% 6.81/1.30
% 6.81/1.30 % (2606)Memory used [KB]: 3454
% 6.81/1.30 % (2606)Time elapsed: 0.034 s
% 6.81/1.30 % (2606)Instructions burned: 24 (million)
% 6.81/1.30 % (2606)------------------------------
% 6.81/1.30 % (2606)------------------------------
% 6.81/1.31 % (2608)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/91Mi)
% 6.81/1.31 % (2609)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/102Mi)
% 7.39/1.34 % (2605)Instruction limit reached!
% 7.39/1.34 % (2605)------------------------------
% 7.39/1.34 % (2605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.34 % (2605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.34 % (2605)Termination reason: Unknown
% 7.39/1.34 % (2605)Termination phase: Property scanning
% 7.39/1.34
% 7.39/1.34 % (2605)Memory used [KB]: 3582
% 7.39/1.34 % (2605)Time elapsed: 0.031 s
% 7.39/1.34 % (2605)Instructions burned: 46 (million)
% 7.39/1.34 % (2605)------------------------------
% 7.39/1.34 % (2605)------------------------------
% 7.39/1.34 % (2589)Instruction limit reached!
% 7.39/1.34 % (2589)------------------------------
% 7.39/1.34 % (2589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.34 % (2589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.34 % (2589)Termination reason: Unknown
% 7.39/1.34 % (2589)Termination phase: Saturation
% 7.39/1.34
% 7.39/1.34 % (2589)Memory used [KB]: 8955
% 7.39/1.34 % (2589)Time elapsed: 0.417 s
% 7.39/1.34 % (2589)Instructions burned: 118 (million)
% 7.39/1.34 % (2589)------------------------------
% 7.39/1.34 % (2589)------------------------------
% 7.39/1.35 % (2612)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/246Mi)
% 7.39/1.36 % (2611)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/234Mi)
% 7.39/1.39 % (2591)Instruction limit reached!
% 7.39/1.39 % (2591)------------------------------
% 7.39/1.39 % (2591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.39 % (2591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.39 % (2591)Termination reason: Unknown
% 7.39/1.39 % (2591)Termination phase: Saturation
% 7.39/1.39
% 7.39/1.39 % (2591)Memory used [KB]: 4605
% 7.39/1.39 % (2591)Time elapsed: 0.461 s
% 7.39/1.39 % (2591)Instructions burned: 113 (million)
% 7.39/1.39 % (2591)------------------------------
% 7.39/1.39 % (2591)------------------------------
% 7.67/1.40 % (2572)Instruction limit reached!
% 7.67/1.40 % (2572)------------------------------
% 7.67/1.40 % (2572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.40 % (2572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.40 % (2572)Termination reason: Unknown
% 7.67/1.40 % (2572)Termination phase: Saturation
% 7.67/1.40
% 7.67/1.40 % (2572)Memory used [KB]: 10490
% 7.67/1.40 % (2572)Time elapsed: 0.588 s
% 7.67/1.40 % (2572)Instructions burned: 237 (million)
% 7.67/1.40 % (2572)------------------------------
% 7.67/1.40 % (2572)------------------------------
% 7.67/1.40 % (2614)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/68Mi)
% 7.67/1.42 % (2613)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/290Mi)
% 7.67/1.43 % (2601)Instruction limit reached!
% 7.67/1.43 % (2601)------------------------------
% 7.67/1.43 % (2601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.43 % (2601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.43 % (2601)Termination reason: Unknown
% 7.67/1.43 % (2601)Termination phase: Saturation
% 7.67/1.43
% 7.67/1.43 % (2601)Memory used [KB]: 8187
% 7.67/1.43 % (2601)Time elapsed: 0.423 s
% 7.67/1.43 % (2601)Instructions burned: 150 (million)
% 7.67/1.43 % (2601)------------------------------
% 7.67/1.43 % (2601)------------------------------
% 7.67/1.45 % (2604)First to succeed.
% 7.67/1.46 % (2604)Refutation found. Thanks to Tanya!
% 7.67/1.46 % SZS status Theorem for theBenchmark
% 7.67/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 7.97/1.46 % (2604)------------------------------
% 7.97/1.46 % (2604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.97/1.46 % (2604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.97/1.46 % (2604)Termination reason: Refutation
% 7.97/1.46
% 7.97/1.46 % (2604)Memory used [KB]: 9083
% 7.97/1.46 % (2604)Time elapsed: 0.373 s
% 7.97/1.46 % (2604)Instructions burned: 78 (million)
% 7.97/1.46 % (2604)------------------------------
% 7.97/1.46 % (2604)------------------------------
% 7.97/1.46 % (2518)Success in time 1.156 s
%------------------------------------------------------------------------------