%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP220_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:30:32 AM UTC 2026
% Result : Theorem 5.54s 2.27s
% Output : Refutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 250 ( 249 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 119 ( 117 usr; 1 prp; 0-6 aty)
% Number of functors : 1317 (1317 usr; 416 con; 0-8 aty)
% Number of variables : 14 ( 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
fun_Co9168753396221475450atural: $tType ).
tff(type_def_6,type,
fun_Co1105491363547889651atural: $tType ).
tff(type_def_7,type,
fun_Co1890133979025130057atural: $tType ).
tff(type_def_8,type,
fun_fu4272674133525273539t_bool: $tType ).
tff(type_def_9,type,
fun_fu2754956555950464963t_bool: $tType ).
tff(type_def_10,type,
fun_fu4800041728187187127nteger: $tType ).
tff(type_def_11,type,
fun_Pr7769407664385210434atural: $tType ).
tff(type_def_12,type,
fun_Co5709460363461100952atural: $tType ).
tff(type_def_13,type,
fun_Co1561183069634336733nteger: $tType ).
tff(type_def_14,type,
fun_Pr4637083014979798189l_bool: $tType ).
tff(type_def_15,type,
fun_fu4669108322068655547t_bool: $tType ).
tff(type_def_16,type,
produc6756470014200349799atural: $tType ).
tff(type_def_17,type,
fun_fu8778301040783821591l_bool: $tType ).
tff(type_def_18,type,
fun_fu4671764723984660721t_bool: $tType ).
tff(type_def_19,type,
fun_fu2749353902725170073t_bool: $tType ).
tff(type_def_20,type,
fun_fu2194082084716825453t_bool: $tType ).
tff(type_def_21,type,
fun_Pr2477239776880934807at_nat: $tType ).
tff(type_def_22,type,
fun_Pr1308109350235310159nt_int: $tType ).
tff(type_def_23,type,
fun_Pr5876161306168176259nteger: $tType ).
tff(type_def_24,type,
fun_Pr817965127378462947t_bool: $tType ).
tff(type_def_25,type,
fun_fu3064074204415222357nt_int: $tType ).
tff(type_def_26,type,
fun_fu1098312133097393581at_rat: $tType ).
tff(type_def_27,type,
fun_na1668100129766719005at_nat: $tType ).
tff(type_def_28,type,
fun_Co2470855966376689427nteger: $tType ).
tff(type_def_29,type,
fun_fu3612569900928539882l_real: $tType ).
tff(type_def_30,type,
fun_fu762719556336274221l_bool: $tType ).
tff(type_def_31,type,
fun_li8232715659020003717t_bool: $tType ).
tff(type_def_32,type,
fun_fu813382667476268716l_bool: $tType ).
tff(type_def_33,type,
fun_fu8159772421396582028t_bool: $tType ).
tff(type_def_34,type,
fun_Co3025358997185726883r_bool: $tType ).
tff(type_def_35,type,
fun_fu7919257609373989805t_bool: $tType ).
tff(type_def_36,type,
fun_fu4802881585551670701t_bool: $tType ).
tff(type_def_37,type,
fun_Pr5837708615769641901m_bool: $tType ).
tff(type_def_38,type,
fun_Pr248683899324676269t_bool: $tType ).
tff(type_def_39,type,
fun_Pr3099820731930151597t_bool: $tType ).
tff(type_def_40,type,
fun_na8713714802964096592at_nat: $tType ).
tff(type_def_41,type,
produc5835291356934675326atural: $tType ).
tff(type_def_42,type,
fun_fu3307002049327355231l_bool: $tType ).
tff(type_def_43,type,
fun_fu6750301411456490045r_bool: $tType ).
tff(type_def_44,type,
fun_fu8602805464270671924l_bool: $tType ).
tff(type_def_45,type,
fun_fu3711856879280950809l_real: $tType ).
tff(type_def_46,type,
fun_fu6579618355643354601at_rat: $tType ).
tff(type_def_47,type,
fun_fu2868497722653781188t_bool: $tType ).
tff(type_def_48,type,
fun_na4786964484885125043t_bool: $tType ).
tff(type_def_49,type,
fun_na4143055713577223196at_nat: $tType ).
tff(type_def_50,type,
fun_in2204242111582549184nt_int: $tType ).
tff(type_def_51,type,
fun_Co6597186368970283863nteger: $tType ).
tff(type_def_52,type,
fun_fu8172925815900240338r_bool: $tType ).
tff(type_def_53,type,
fun_Pr2118491707810114563at_nat: $tType ).
tff(type_def_54,type,
fun_Pr2478283820680522243nt_int: $tType ).
tff(type_def_55,type,
fun_fu6924846375782198887atural: $tType ).
tff(type_def_56,type,
fun_fu6921880696561781257nteger: $tType ).
tff(type_def_57,type,
fun_fu5589980185390252312t_real: $tType ).
tff(type_def_58,type,
fun_Co7333321365496032713r_bool: $tType ).
tff(type_def_59,type,
fun_VE7346385682144900493T_bool: $tType ).
tff(type_def_60,type,
fun_fu8308374331699588969t_bool: $tType ).
tff(type_def_61,type,
fun_fu9051297857939674819t_bool: $tType ).
tff(type_def_62,type,
fun_fu2636726645394866687t_bool: $tType ).
tff(type_def_63,type,
fun_fu5970656269460422159t_bool: $tType ).
tff(type_def_64,type,
fun_fu8467804991414204575t_bool: $tType ).
tff(type_def_65,type,
fun_fu4413992040155564420at_nat: $tType ).
tff(type_def_66,type,
fun_Co6813818151677833714atural: $tType ).
tff(type_def_67,type,
fun_Co1981900195452921617nteger: $tType ).
tff(type_def_68,type,
fun_Pr5932607294251420486t_bool: $tType ).
tff(type_def_69,type,
fun_Pr3145601080792579042t_bool: $tType ).
tff(type_def_70,type,
fun_na4827981024643048934t_bool: $tType ).
tff(type_def_71,type,
fun_na4138050610385705875at_nat: $tType ).
tff(type_def_72,type,
fun_in1696471567231710611nt_int: $tType ).
tff(type_def_73,type,
fun_VE491066615515474744t_bool: $tType ).
tff(type_def_74,type,
fun_li8598321315282354825t_bool: $tType ).
tff(type_def_75,type,
fun_fu1032279790925302627l_bool: $tType ).
tff(type_def_76,type,
fun_fu7344326129191042041r_bool: $tType ).
tff(type_def_77,type,
fun_Co8310303586393106575r_bool: $tType ).
tff(type_def_78,type,
fun_fu3077872570260440615l_real: $tType ).
tff(type_def_79,type,
fun_na607345901702507418atural: $tType ).
tff(type_def_80,type,
fun_na7078387940644931716nteger: $tType ).
tff(type_def_81,type,
fun_Co8521658056209057742er_num: $tType ).
tff(type_def_82,type,
fun_Co3583066429914935172er_nat: $tType ).
tff(type_def_83,type,
fun_Co1092983284983208416er_int: $tType ).
tff(type_def_84,type,
fun_fu7376312551830202376l_bool: $tType ).
tff(type_def_85,type,
fun_re8542384036533109323t_real: $tType ).
tff(type_def_86,type,
fun_re4112884445705685835l_real: $tType ).
tff(type_def_87,type,
fun_fu6899955116716589935t_real: $tType ).
tff(type_def_88,type,
fun_na5225841814499866095t_real: $tType ).
tff(type_def_89,type,
fun_fu990398353789569848l_bool: $tType ).
tff(type_def_90,type,
produc7822875418678951345atural: $tType ).
tff(type_def_91,type,
produc8923325533196201883nteger: $tType ).
tff(type_def_92,type,
fun_fu6119738925743952495t_real: $tType ).
tff(type_def_93,type,
fun_na3408937105440547634t_bool: $tType ).
tff(type_def_94,type,
fun_in6148020733644367646t_bool: $tType ).
tff(type_def_95,type,
fun_fu8328862064278946247at_rat: $tType ).
tff(type_def_96,type,
fun_fu7002938529518989751at_nat: $tType ).
tff(type_def_97,type,
fun_na3244735409550470327at_nat: $tType ).
tff(type_def_98,type,
fun_nu1049378303802735384on_num: $tType ).
tff(type_def_99,type,
fun_na7595719129879163854on_num: $tType ).
tff(type_def_100,type,
fun_Pr7757163693017731481t_bool: $tType ).
tff(type_def_101,type,
fun_Pr803113274115125473t_bool: $tType ).
tff(type_def_102,type,
fun_VE2066785035971159626l_bool: $tType ).
tff(type_def_103,type,
fun_ra4503298312962071866nt_int: $tType ).
tff(type_def_104,type,
fun_Pr2602117396471556196at_nat: $tType ).
tff(type_def_105,type,
fun_Pr7647638413817135296at_int: $tType ).
tff(type_def_106,type,
fun_Pr1652463973008025892nt_rat: $tType ).
tff(type_def_107,type,
fun_na5614638261385347865t_bool: $tType ).
tff(type_def_108,type,
fun_na1476630412504255114at_nat: $tType ).
tff(type_def_109,type,
fun_in4514472496968388910at_nat: $tType ).
tff(type_def_110,type,
fun_in4211310926729683942nt_int: $tType ).
tff(type_def_111,type,
fun_VE3763956218935105199t_bool: $tType ).
tff(type_def_112,type,
fun_na819858167508000762st_nat: $tType ).
tff(type_def_113,type,
fun_re8658731967611918585t_real: $tType ).
tff(type_def_114,type,
fun_na5042103099923536755t_bool: $tType ).
tff(type_def_115,type,
fun_na7327111457444404817l_bool: $tType ).
tff(type_def_116,type,
fun_in5519481650651148416r_bool: $tType ).
tff(type_def_117,type,
fun_co1378794544173401837x_bool: $tType ).
tff(type_def_118,type,
option4927543243414619207at_nat: $tType ).
tff(type_def_119,type,
fun_nu2537414170016844299nteger: $tType ).
tff(type_def_120,type,
fun_Su884838341992399436at_nat: $tType ).
tff(type_def_121,type,
fun_na3635074868517587788at_nat: $tType ).
tff(type_def_122,type,
produc9072475918466114483BT_nat: $tType ).
tff(type_def_123,type,
produc7417142470700560111r_bool: $tType ).
tff(type_def_124,type,
set_Pr1261947904930325089at_nat: $tType ).
tff(type_def_125,type,
set_Pr958786334691620121nt_int: $tType ).
tff(type_def_126,type,
fun_se448528567104302406T_bool: $tType ).
tff(type_def_127,type,
fun_na5941084329111710283x_bool: $tType ).
tff(type_def_128,type,
fun_Co7398788559141407565atural: $tType ).
tff(type_def_129,type,
fun_Co2940338738630218498nteger: $tType ).
tff(type_def_130,type,
fun_Co8499238673658658103nteger: $tType ).
tff(type_def_131,type,
fun_re7681423839302404990l_real: $tType ).
tff(type_def_132,type,
set_Sum_sum_nat_nat: $tType ).
tff(type_def_133,type,
fun_fu7307090382573344987l_bool: $tType ).
tff(type_def_134,type,
fun_re1255401033344146673l_bool: $tType ).
tff(type_def_135,type,
list_list_VEBT_VEBT: $tType ).
tff(type_def_136,type,
fun_fu7511176317168184086l_bool: $tType ).
tff(type_def_137,type,
fun_re4238438383274954274t_real: $tType ).
tff(type_def_138,type,
fun_na6724076748692969250l_real: $tType ).
tff(type_def_139,type,
fun_bo1841576699660343469l_bool: $tType ).
tff(type_def_140,type,
fun_fun_nat_rat_real: $tType ).
tff(type_def_141,type,
fun_fu7168253649841883962l_bool: $tType ).
tff(type_def_142,type,
fun_real_fun_nat_rat: $tType ).
tff(type_def_143,type,
fun_nat_fun_nat_real: $tType ).
tff(type_def_144,type,
fun_fun_rat_rat_bool: $tType ).
tff(type_def_145,type,
fun_fun_nat_rat_bool: $tType ).
tff(type_def_146,type,
fun_fun_nat_nat_bool: $tType ).
tff(type_def_147,type,
fun_fun_int_int_bool: $tType ).
tff(type_def_148,type,
fun_rat_fun_rat_bool: $tType ).
tff(type_def_149,type,
fun_num_fun_num_bool: $tType ).
tff(type_def_150,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_151,type,
fun_int_fun_int_bool: $tType ).
tff(type_def_152,type,
fun_rat_fun_rat_rat: $tType ).
tff(type_def_153,type,
fun_num_fun_num_num: $tType ).
tff(type_def_154,type,
fun_num_fun_num_int: $tType ).
tff(type_def_155,type,
fun_nat_fun_nat_nat: $tType ).
tff(type_def_156,type,
fun_nat_fun_int_int: $tType ).
tff(type_def_157,type,
fun_int_fun_int_rat: $tType ).
tff(type_def_158,type,
fun_int_fun_int_int: $tType ).
tff(type_def_159,type,
fun_num_option_num: $tType ).
tff(type_def_160,type,
fun_nat_option_num: $tType ).
tff(type_def_161,type,
fun_list_nat_bool: $tType ).
tff(type_def_162,type,
product_prod_num_num: $tType ).
tff(type_def_163,type,
product_prod_nat_num: $tType ).
tff(type_def_164,type,
product_prod_nat_nat: $tType ).
tff(type_def_165,type,
product_prod_int_int: $tType ).
tff(type_def_166,type,
fun_VEBT_VEBT_bool: $tType ).
tff(type_def_167,type,
fun_nat_list_nat: $tType ).
tff(type_def_168,type,
fun_list_nat_nat: $tType ).
tff(type_def_169,type,
fun_VEBT_VEBT_nat: $tType ).
tff(type_def_170,type,
fun_set_nat_bool: $tType ).
tff(type_def_171,type,
fun_bo7282069421189217543nteger: $tType ).
tff(type_def_172,type,
fun_Co7175331531449502024l_bool: $tType ).
tff(type_def_173,type,
fun_Co8822979462182099027r_bool: $tType ).
tff(type_def_174,type,
fun_set_nat_nat: $tType ).
tff(type_def_175,type,
fun_num_Code_integer: $tType ).
tff(type_def_176,type,
fun_nat_set_nat: $tType ).
tff(type_def_177,type,
fun_nat_Code_natural: $tType ).
tff(type_def_178,type,
fun_nat_Code_integer: $tType ).
tff(type_def_179,type,
fun_int_Code_integer: $tType ).
tff(type_def_180,type,
fun_complex_complex: $tType ).
tff(type_def_181,type,
fun_Code_natural_nat: $tType ).
tff(type_def_182,type,
fun_Code_integer_num: $tType ).
tff(type_def_183,type,
fun_Code_integer_nat: $tType ).
tff(type_def_184,type,
fun_Code_integer_int: $tType ).
tff(type_def_185,type,
fun_Pr1792556611952799308t_real: $tType ).
tff(type_def_186,type,
sum_sum_nat_nat: $tType ).
tff(type_def_187,type,
fun_na8797796813480665199d_enat: $tType ).
tff(type_def_188,type,
list_list_bool: $tType ).
tff(type_def_189,type,
list_list_nat: $tType ).
tff(type_def_190,type,
list_list_int: $tType ).
tff(type_def_191,type,
list_VEBT_VEBT: $tType ).
tff(type_def_192,type,
set_list_nat: $tType ).
tff(type_def_193,type,
list_set_nat: $tType ).
tff(type_def_194,type,
fun_complex_bool: $tType ).
tff(type_def_195,type,
set_VEBT_VEBT: $tType ).
tff(type_def_196,type,
fun_nat_complex: $tType ).
tff(type_def_197,type,
set_set_nat: $tType ).
tff(type_def_198,type,
set_Code_integer: $tType ).
tff(type_def_199,type,
set_Product_unit: $tType ).
tff(type_def_200,type,
fun_char_nat: $tType ).
tff(type_def_201,type,
fun_real_real: $tType ).
tff(type_def_202,type,
fun_nat_char: $tType ).
tff(type_def_203,type,
fun_real_bool: $tType ).
tff(type_def_204,type,
fun_rat_real: $tType ).
tff(type_def_205,type,
fun_nat_real: $tType ).
tff(type_def_206,type,
fun_bool_bool: $tType ).
tff(type_def_207,type,
list_complex: $tType ).
tff(type_def_208,type,
fun_rat_bool: $tType ).
tff(type_def_209,type,
fun_num_bool: $tType ).
tff(type_def_210,type,
fun_nat_bool: $tType ).
tff(type_def_211,type,
fun_int_bool: $tType ).
tff(type_def_212,type,
fun_bool_nat: $tType ).
tff(type_def_213,type,
fun_bool_int: $tType ).
tff(type_def_214,type,
fun_rat_rat: $tType ).
tff(type_def_215,type,
fun_num_num: $tType ).
tff(type_def_216,type,
fun_num_nat: $tType ).
tff(type_def_217,type,
fun_num_int: $tType ).
tff(type_def_218,type,
fun_nat_rat: $tType ).
tff(type_def_219,type,
fun_nat_num: $tType ).
tff(type_def_220,type,
fun_nat_nat: $tType ).
tff(type_def_221,type,
fun_nat_int: $tType ).
tff(type_def_222,type,
fun_int_rat: $tType ).
tff(type_def_223,type,
fun_int_nat: $tType ).
tff(type_def_224,type,
fun_int_int: $tType ).
tff(type_def_225,type,
set_complex: $tType ).
tff(type_def_226,type,
filter_real: $tType ).
tff(type_def_227,type,
option_num: $tType ).
tff(type_def_228,type,
filter_nat: $tType ).
tff(type_def_229,type,
filter_int: $tType ).
tff(type_def_230,type,
set_char: $tType ).
tff(type_def_231,type,
list_real: $tType ).
tff(type_def_232,type,
list_bool: $tType ).
tff(type_def_233,type,
set_real: $tType ).
tff(type_def_234,type,
list_nat: $tType ).
tff(type_def_235,type,
list_int: $tType ).
tff(type_def_236,type,
vEBT_VEBT: $tType ).
tff(type_def_237,type,
set_bool: $tType ).
tff(type_def_238,type,
set_rat: $tType ).
tff(type_def_239,type,
set_nat: $tType ).
tff(type_def_240,type,
set_int: $tType ).
tff(type_def_241,type,
code_natural: $tType ).
tff(type_def_242,type,
code_integer: $tType ).
tff(type_def_243,type,
product_unit: $tType ).
tff(type_def_244,type,
extended_enat: $tType ).
tff(type_def_245,type,
complex: $tType ).
tff(type_def_246,type,
literal: $tType ).
tff(type_def_247,type,
char: $tType ).
tff(type_def_248,type,
real: $tType ).
tff(type_def_249,type,
bool: $tType ).
tff(type_def_250,type,
rat: $tType ).
tff(type_def_251,type,
num: $tType ).
tff(type_def_252,type,
nat: $tType ).
tff(type_def_253,type,
int: $tType ).
tff(func_def_0,type,
aTP_Lamm_a: set_complex > fun_complex_bool ).
tff(func_def_1,type,
aTP_Lamm_aa: set_real > fun_real_bool ).
tff(func_def_2,type,
aTP_Lamm_ab: set_list_nat > fun_list_nat_bool ).
tff(func_def_3,type,
aTP_Lamm_ac: set_set_nat > fun_set_nat_bool ).
tff(func_def_4,type,
aTP_Lamm_ad: set_nat > fun_nat_bool ).
tff(func_def_5,type,
aTP_Lamm_ae: set_int > fun_int_bool ).
tff(func_def_6,type,
aTP_Lamm_af: fun_nat_fun_nat_bool ).
tff(func_def_7,type,
aTP_Lamm_ag: fun_int_nat ).
tff(func_def_8,type,
aTP_Lamm_ah: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_9,type,
aTP_Lamm_ai: set_nat > fun_nat_fun_nat_bool ).
tff(func_def_10,type,
aTP_Lamm_aj: complex > fun_na5941084329111710283x_bool ).
tff(func_def_11,type,
aTP_Lamm_ak: nat > fun_complex_bool ).
tff(func_def_12,type,
aTP_Lamm_al: fun_nat_fun_nat_bool ).
tff(func_def_13,type,
aTP_Lamm_am: fun_re4238438383274954274t_real ).
tff(func_def_14,type,
aTP_Lamm_an: fun_nat_nat ).
tff(func_def_15,type,
aTP_Lamm_ao: fun_int_int ).
tff(func_def_16,type,
aTP_Lamm_ap: fun_re4238438383274954274t_real ).
tff(func_def_17,type,
aTP_Lamm_aq: fun_re4238438383274954274t_real ).
tff(func_def_18,type,
aTP_Lamm_ar: fun_nat_real ).
tff(func_def_19,type,
aTP_Lamm_as: nat > fun_nat_complex ).
tff(func_def_20,type,
aTP_Lamm_at: fun_re4238438383274954274t_real ).
tff(func_def_21,type,
aTP_Lamm_au: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_22,type,
aTP_Lamm_av: fun_nat_real ).
tff(func_def_23,type,
aTP_Lamm_aw: fun_nat_real > fun_nat_real ).
tff(func_def_24,type,
aTP_Lamm_ax: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_25,type,
aTP_Lamm_ay: fun_re4238438383274954274t_real ).
tff(func_def_26,type,
aTP_Lamm_az: fun_re4238438383274954274t_real ).
tff(func_def_27,type,
aTP_Lamm_ba: fun_re4238438383274954274t_real ).
tff(func_def_28,type,
aTP_Lamm_bb: fun_nat_real ).
tff(func_def_29,type,
aTP_Lamm_bc: real > fun_fu6899955116716589935t_real ).
tff(func_def_30,type,
aTP_Lamm_bd: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_31,type,
aTP_Lamm_be: fun_nat_real > fun_nat_real ).
tff(func_def_32,type,
aTP_Lamm_bf: fun_nat_real > fun_nat_real ).
tff(func_def_33,type,
aTP_Lamm_bg: fun_re4238438383274954274t_real ).
tff(func_def_34,type,
aTP_Lamm_bh: fun_nat_fun_nat_nat ).
tff(func_def_35,type,
aTP_Lamm_bi: fun_nat_fun_nat_nat ).
tff(func_def_36,type,
aTP_Lamm_bj: fun_nat_fun_nat_nat ).
tff(func_def_37,type,
aTP_Lamm_bk: nat > fun_nat_fun_nat_nat ).
tff(func_def_38,type,
aTP_Lamm_bl: nat > fun_na3244735409550470327at_nat ).
tff(func_def_39,type,
aTP_Lamm_bm: nat > fun_na3244735409550470327at_nat ).
tff(func_def_40,type,
aTP_Lamm_bn: fun_nat_nat > fun_nat_fun_nat_nat ).
tff(func_def_41,type,
aTP_Lamm_bo: fun_nat_nat > fun_fu4413992040155564420at_nat ).
tff(func_def_42,type,
aTP_Lamm_bp: fun_nat_nat > fun_fu4413992040155564420at_nat ).
tff(func_def_43,type,
aTP_Lamm_bq: fun_nat_fun_nat_nat ).
tff(func_def_44,type,
aTP_Lamm_br: fun_nat_fun_nat_nat ).
tff(func_def_45,type,
aTP_Lamm_bs: fun_complex_complex ).
tff(func_def_46,type,
aTP_Lamm_bt: nat > fun_co1378794544173401837x_bool ).
tff(func_def_47,type,
aTP_Lamm_bu: fun_nat_fun_nat_bool ).
tff(func_def_48,type,
aTP_Lamm_bv: nat > fun_nat_fun_nat_nat ).
tff(func_def_49,type,
aTP_Lamm_bw: int > fun_in2204242111582549184nt_int ).
tff(func_def_50,type,
aTP_Lamm_bx: rat > fun_in1696471567231710611nt_int ).
tff(func_def_51,type,
aTP_Lamm_by: int > fun_in2204242111582549184nt_int ).
tff(func_def_52,type,
aTP_Lamm_bz: rat > fun_in1696471567231710611nt_int ).
tff(func_def_53,type,
aTP_Lamm_ca: fun_na4138050610385705875at_nat ).
tff(func_def_54,type,
aTP_Lamm_cb: int > fun_in2204242111582549184nt_int ).
tff(func_def_55,type,
aTP_Lamm_cc: rat > fun_in1696471567231710611nt_int ).
tff(func_def_56,type,
aTP_Lamm_cd: int > fun_in2204242111582549184nt_int ).
tff(func_def_57,type,
aTP_Lamm_ce: rat > fun_in1696471567231710611nt_int ).
tff(func_def_58,type,
aTP_Lamm_cf: num > fun_na4138050610385705875at_nat ).
tff(func_def_59,type,
aTP_Lamm_cg: fun_in1696471567231710611nt_int ).
tff(func_def_60,type,
aTP_Lamm_ch: num > fun_in1696471567231710611nt_int ).
tff(func_def_61,type,
aTP_Lamm_ci: fun_re1255401033344146673l_bool ).
tff(func_def_62,type,
aTP_Lamm_cj: fun_real_bool ).
tff(func_def_63,type,
aTP_Lamm_ck: fun_re1255401033344146673l_bool ).
tff(func_def_64,type,
aTP_Lamm_cl: fun_nat_fun_nat_nat ).
tff(func_def_65,type,
aTP_Lamm_cm: int > fun_int_fun_int_bool ).
tff(func_def_66,type,
aTP_Lamm_cn: int > fun_int_fun_int_bool ).
tff(func_def_67,type,
aTP_Lamm_co: int > fun_int_fun_int_bool ).
tff(func_def_68,type,
aTP_Lamm_cp: int > fun_int_fun_int_bool ).
tff(func_def_69,type,
aTP_Lamm_cq: fun_int_fun_int_bool ).
tff(func_def_70,type,
aTP_Lamm_cr: fun_nat_fun_nat_bool ).
tff(func_def_71,type,
aTP_Lamm_cs: fun_nat_fun_nat_nat ).
tff(func_def_72,type,
aTP_Lamm_ct: fun_nat_nat > fun_fu7002938529518989751at_nat ).
tff(func_def_73,type,
aTP_Lamm_cu: int > fun_int_int ).
tff(func_def_74,type,
aTP_Lamm_cv: num > fun_Co2470855966376689427nteger ).
tff(func_def_75,type,
aTP_Lamm_cw: fun_nat_bool ).
tff(func_def_76,type,
aTP_Lamm_cx: fun_nat_bool ).
tff(func_def_77,type,
aTP_Lamm_cy: fun_nat_fun_nat_nat ).
tff(func_def_78,type,
aTP_Lamm_cz: fun_nat_fun_nat_nat ).
tff(func_def_79,type,
aTP_Lamm_da: fun_nat_fun_nat_nat ).
tff(func_def_80,type,
aTP_Lamm_db: fun_nat_fun_nat_nat ).
tff(func_def_81,type,
aTP_Lamm_dc: rat > fun_int_bool ).
tff(func_def_82,type,
aTP_Lamm_dd: real > fun_int_bool ).
tff(func_def_83,type,
aTP_Lamm_de: code_integer > fun_Co3025358997185726883r_bool ).
tff(func_def_84,type,
aTP_Lamm_df: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_85,type,
aTP_Lamm_dg: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_86,type,
aTP_Lamm_dh: code_integer > fun_Co2470855966376689427nteger ).
tff(func_def_87,type,
aTP_Lamm_di: fun_Co3583066429914935172er_nat ).
tff(func_def_88,type,
aTP_Lamm_dj: fun_nat_fun_nat_bool ).
tff(func_def_89,type,
aTP_Lamm_dk: fun_Co1092983284983208416er_int ).
tff(func_def_90,type,
aTP_Lamm_dl: nat > fun_na4143055713577223196at_nat ).
tff(func_def_91,type,
aTP_Lamm_dm: fun_na1668100129766719005at_nat ).
tff(func_def_92,type,
aTP_Lamm_dn: fun_na4138050610385705875at_nat ).
tff(func_def_93,type,
aTP_Lamm_do: nat > fun_na3408937105440547634t_bool ).
tff(func_def_94,type,
aTP_Lamm_dp: fun_na4786964484885125043t_bool ).
tff(func_def_95,type,
aTP_Lamm_dq: nat > fun_na3408937105440547634t_bool ).
tff(func_def_96,type,
aTP_Lamm_dr: fun_na4786964484885125043t_bool ).
tff(func_def_97,type,
aTP_Lamm_ds: nat > fun_na4143055713577223196at_nat ).
tff(func_def_98,type,
aTP_Lamm_dt: fun_na1668100129766719005at_nat ).
tff(func_def_99,type,
aTP_Lamm_du: nat > fun_na4143055713577223196at_nat ).
tff(func_def_100,type,
aTP_Lamm_dv: fun_na1668100129766719005at_nat ).
tff(func_def_101,type,
aTP_Lamm_dw: num > fun_num_int ).
tff(func_def_102,type,
aTP_Lamm_dx: fun_nat_option_num ).
tff(func_def_103,type,
aTP_Lamm_dy: fun_num_option_num ).
tff(func_def_104,type,
aTP_Lamm_dz: fun_num_option_num ).
tff(func_def_105,type,
aTP_Lamm_ea: num > fun_nat_option_num ).
tff(func_def_106,type,
aTP_Lamm_eb: num > fun_nat_option_num ).
tff(func_def_107,type,
aTP_Lamm_ec: nat > fun_num_option_num ).
tff(func_def_108,type,
aTP_Lamm_ed: nat > fun_num_option_num ).
tff(func_def_109,type,
aTP_Lamm_ee: num > fun_nat_option_num ).
tff(func_def_110,type,
aTP_Lamm_ef: fun_na7595719129879163854on_num ).
tff(func_def_111,type,
aTP_Lamm_eg: fun_Co8521658056209057742er_num ).
tff(func_def_112,type,
aTP_Lamm_eh: fun_Pr803113274115125473t_bool ).
tff(func_def_113,type,
aTP_Lamm_ei: fun_nat_fun_nat_nat ).
tff(func_def_114,type,
aTP_Lamm_ej: fun_nat_fun_nat_nat ).
tff(func_def_115,type,
aTP_Lamm_ek: fun_Pr1308109350235310159nt_int ).
tff(func_def_116,type,
aTP_Lamm_el: fun_nat_fun_nat_nat ).
tff(func_def_117,type,
aTP_Lamm_em: fun_nat_nat ).
tff(func_def_118,type,
aTP_Lamm_en: fun_Pr1308109350235310159nt_int ).
tff(func_def_119,type,
aTP_Lamm_eo: fun_Pr2478283820680522243nt_int ).
tff(func_def_120,type,
aTP_Lamm_ep: fun_na6724076748692969250l_real ).
tff(func_def_121,type,
aTP_Lamm_eq: fun_na6724076748692969250l_real ).
tff(func_def_122,type,
aTP_Lamm_er: fun_real_real > fun_na6724076748692969250l_real ).
tff(func_def_123,type,
aTP_Lamm_es: fun_re7681423839302404990l_real ).
tff(func_def_124,type,
aTP_Lamm_et: fun_real_real > fun_re7681423839302404990l_real ).
tff(func_def_125,type,
aTP_Lamm_eu: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_126,type,
aTP_Lamm_ev: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).
tff(func_def_127,type,
aTP_Lamm_ew: fun_re4238438383274954274t_real > fun_real_real ).
tff(func_def_128,type,
aTP_Lamm_ex: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_129,type,
aTP_Lamm_ey: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_130,type,
aTP_Lamm_ez: fun_nat_real > fun_real_real ).
tff(func_def_131,type,
aTP_Lamm_fa: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).
tff(func_def_132,type,
aTP_Lamm_fb: real > fun_fu5589980185390252312t_real ).
tff(func_def_133,type,
aTP_Lamm_fc: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).
tff(func_def_134,type,
aTP_Lamm_fd: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).
tff(func_def_135,type,
aTP_Lamm_fe: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).
tff(func_def_136,type,
aTP_Lamm_ff: nat > fun_fu3612569900928539882l_real ).
tff(func_def_137,type,
aTP_Lamm_fg: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).
tff(func_def_138,type,
aTP_Lamm_fh: fun_real_real ).
tff(func_def_139,type,
aTP_Lamm_fi: fun_re4238438383274954274t_real ).
tff(func_def_140,type,
aTP_Lamm_fj: fun_real_real ).
tff(func_def_141,type,
aTP_Lamm_fk: fun_nat_real > fun_nat_real ).
tff(func_def_142,type,
aTP_Lamm_fl: fun_nat_fun_nat_nat ).
tff(func_def_143,type,
aTP_Lamm_fm: fun_nat_real ).
tff(func_def_144,type,
aTP_Lamm_fn: fun_nat_real > fun_fu6899955116716589935t_real ).
tff(func_def_145,type,
aTP_Lamm_fo: fun_nat_real ).
tff(func_def_146,type,
aTP_Lamm_fp: fun_re4238438383274954274t_real ).
tff(func_def_147,type,
aTP_Lamm_fq: fun_nat_real ).
tff(func_def_148,type,
aTP_Lamm_fr: fun_re4238438383274954274t_real ).
tff(func_def_149,type,
aTP_Lamm_fs: real > fun_re4238438383274954274t_real ).
tff(func_def_150,type,
aTP_Lamm_ft: fun_re4238438383274954274t_real ).
tff(func_def_151,type,
aTP_Lamm_fu: fun_re4238438383274954274t_real ).
tff(func_def_152,type,
aTP_Lamm_fv: fun_re4238438383274954274t_real ).
tff(func_def_153,type,
aTP_Lamm_fw: fun_re4238438383274954274t_real ).
tff(func_def_154,type,
aTP_Lamm_fx: fun_nat_real > fun_re4238438383274954274t_real ).
tff(func_def_155,type,
aTP_Lamm_fy: fun_nat_real > fun_fu6119738925743952495t_real ).
tff(func_def_156,type,
aTP_Lamm_fz: fun_nat_real > fun_nat_real ).
tff(func_def_157,type,
aTP_Lamm_ga: fun_nat_real > fun_nat_real ).
tff(func_def_158,type,
aTP_Lamm_gb: fun_nat_real > fun_nat_real ).
tff(func_def_159,type,
aTP_Lamm_gc: fun_re7681423839302404990l_real ).
tff(func_def_160,type,
aTP_Lamm_gd: nat > fun_fu3077872570260440615l_real ).
tff(func_def_161,type,
aTP_Lamm_ge: fun_real_real ).
tff(func_def_162,type,
aTP_Lamm_gf: fun_real_real > fun_nat_real ).
tff(func_def_163,type,
aTP_Lamm_gg: fun_na6724076748692969250l_real ).
tff(func_def_164,type,
aTP_Lamm_gh: fun_re7681423839302404990l_real ).
tff(func_def_165,type,
aTP_Lamm_gi: fun_real_real > fun_real_bool ).
tff(func_def_166,type,
aTP_Lamm_gj: fun_real_real > fun_fu7376312551830202376l_bool ).
tff(func_def_167,type,
aTP_Lamm_gk: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_168,type,
aTP_Lamm_gl: fun_nat_bool > fun_nat_bool ).
tff(func_def_169,type,
aTP_Lamm_gm: fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_170,type,
aTP_Lamm_gn: fun_real_bool > fun_re1255401033344146673l_bool ).
tff(func_def_171,type,
aTP_Lamm_go: fun_real_real > fun_fu3077872570260440615l_real ).
tff(func_def_172,type,
aTP_Lamm_gp: fun_real_real > fun_real_real ).
tff(func_def_173,type,
aTP_Lamm_gq: fun_real_real > fun_real_real ).
tff(func_def_174,type,
aTP_Lamm_gr: nat > fun_na5614638261385347865t_bool ).
tff(func_def_175,type,
aTP_Lamm_gs: nat > fun_na5614638261385347865t_bool ).
tff(func_def_176,type,
aTP_Lamm_gt: nat > fun_na5614638261385347865t_bool ).
tff(func_def_177,type,
aTP_Lamm_gu: nat > fun_na5042103099923536755t_bool ).
tff(func_def_178,type,
aTP_Lamm_gv: nat > fun_nat_fun_nat_bool ).
tff(func_def_179,type,
aTP_Lamm_gw: nat > fun_nat_fun_nat_bool ).
tff(func_def_180,type,
aTP_Lamm_gx: fun_nat_set_nat ).
tff(func_def_181,type,
aTP_Lamm_gy: rat > fun_Pr803113274115125473t_bool ).
tff(func_def_182,type,
aTP_Lamm_gz: int > fun_int_fun_int_bool ).
tff(func_def_183,type,
aTP_Lamm_ha: fun_num_fun_num_int ).
tff(func_def_184,type,
aTP_Lamm_hb: fun_int_int ).
tff(func_def_185,type,
aTP_Lamm_hc: fun_in1696471567231710611nt_int ).
tff(func_def_186,type,
aTP_Lamm_hd: fun_na1476630412504255114at_nat ).
tff(func_def_187,type,
aTP_Lamm_he: nat > fun_nat_set_nat ).
tff(func_def_188,type,
aTP_Lamm_hf: nat > fun_nat_set_nat ).
tff(func_def_189,type,
aTP_Lamm_hg: nat > fun_nat_set_nat ).
tff(func_def_190,type,
aTP_Lamm_hh: nat > fun_na3408937105440547634t_bool ).
tff(func_def_191,type,
aTP_Lamm_hi: fun_na4786964484885125043t_bool ).
tff(func_def_192,type,
aTP_Lamm_hj: nat > fun_nat_fun_nat_bool ).
tff(func_def_193,type,
aTP_Lamm_hk: fun_real_bool ).
tff(func_def_194,type,
aTP_Lamm_hl: int > fun_in6148020733644367646t_bool ).
tff(func_def_195,type,
aTP_Lamm_hm: rat > fun_int_fun_int_bool ).
tff(func_def_196,type,
aTP_Lamm_hn: int > fun_in6148020733644367646t_bool ).
tff(func_def_197,type,
aTP_Lamm_ho: rat > fun_int_fun_int_bool ).
tff(func_def_198,type,
aTP_Lamm_hp: fun_real_bool ).
tff(func_def_199,type,
aTP_Lamm_hq: fun_int_fun_int_int ).
tff(func_def_200,type,
aTP_Lamm_hr: int > fun_int_fun_int_bool ).
tff(func_def_201,type,
aTP_Lamm_hs: int > fun_int_fun_int_bool ).
tff(func_def_202,type,
aTP_Lamm_ht: nat > fun_li8232715659020003717t_bool ).
tff(func_def_203,type,
aTP_Lamm_hu: fun_fun_nat_rat_bool ).
tff(func_def_204,type,
aTP_Lamm_hv: fun_nat_rat ).
tff(func_def_205,type,
aTP_Lamm_hw: fun_nat_rat ).
tff(func_def_206,type,
aTP_Lamm_hx: fun_fu6579618355643354601at_rat ).
tff(func_def_207,type,
aTP_Lamm_hy: fun_fu6579618355643354601at_rat ).
tff(func_def_208,type,
aTP_Lamm_hz: fun_fu8328862064278946247at_rat ).
tff(func_def_209,type,
aTP_Lamm_ia: fun_nat_rat > fun_nat_rat ).
tff(func_def_210,type,
aTP_Lamm_ib: fun_fu8328862064278946247at_rat ).
tff(func_def_211,type,
aTP_Lamm_ic: rat > fun_nat_rat ).
tff(func_def_212,type,
aTP_Lamm_id: fun_nat_rat > fun_fu8328862064278946247at_rat ).
tff(func_def_213,type,
aTP_Lamm_ie: int > fun_nat_rat ).
tff(func_def_214,type,
aTP_Lamm_if: nat > fun_nat_rat ).
tff(func_def_215,type,
aTP_Lamm_ig: fun_nat_rat > fun_fu8328862064278946247at_rat ).
tff(func_def_216,type,
aTP_Lamm_ih: fun_nat_real > fun_nat_fun_nat_real ).
tff(func_def_217,type,
aTP_Lamm_ii: fun_na819858167508000762st_nat ).
tff(func_def_218,type,
aTP_Lamm_ij: real > fun_re8658731967611918585t_real ).
tff(func_def_219,type,
aTP_Lamm_ik: fun_re7681423839302404990l_real ).
tff(func_def_220,type,
aTP_Lamm_il: fun_re7681423839302404990l_real ).
tff(func_def_221,type,
aTP_Lamm_im: nat > fun_na8797796813480665199d_enat ).
tff(func_def_222,type,
aTP_Lamm_in: extended_enat > fun_na8797796813480665199d_enat ).
tff(func_def_223,type,
aTP_Lamm_io: nat > fun_na8797796813480665199d_enat ).
tff(func_def_224,type,
aTP_Lamm_ip: extended_enat > fun_na8797796813480665199d_enat ).
tff(func_def_225,type,
aTP_Lamm_iq: nat > fun_na8797796813480665199d_enat ).
tff(func_def_226,type,
aTP_Lamm_ir: extended_enat > fun_na8797796813480665199d_enat ).
tff(func_def_227,type,
aTP_Lamm_is: fun_na8797796813480665199d_enat ).
tff(func_def_228,type,
aTP_Lamm_it: fun_real_real ).
tff(func_def_229,type,
aTP_Lamm_iu: set_nat > fun_nat_bool ).
tff(func_def_230,type,
aTP_Lamm_iv: set_real > fun_real_bool ).
tff(func_def_231,type,
aTP_Lamm_iw: code_natural > fun_Co9168753396221475450atural ).
tff(func_def_232,type,
aTP_Lamm_ix: produc7822875418678951345atural > fun_Co1890133979025130057atural ).
tff(func_def_233,type,
aTP_Lamm_iy: code_natural > fun_Co1105491363547889651atural ).
tff(func_def_234,type,
aTP_Lamm_iz: fun_Co1105491363547889651atural ).
tff(func_def_235,type,
aTP_Lamm_ja: code_natural > fun_Co1105491363547889651atural ).
tff(func_def_236,type,
aTP_Lamm_jb: fun_nat_nat ).
tff(func_def_237,type,
aTP_Lamm_jc: fun_nat_int ).
tff(func_def_238,type,
archim2889992004027027881ng_rat: rat > int ).
tff(func_def_239,type,
archim7802044766580827645g_real: real > int ).
tff(func_def_240,type,
archim3151403230148437115or_rat: rat > int ).
tff(func_def_241,type,
archim6058952711729229775r_real: real > int ).
tff(func_def_242,type,
archimedean_frac_rat: rat > rat ).
tff(func_def_243,type,
archim2898591450579166408c_real: fun_real_real ).
tff(func_def_244,type,
archim7778729529865785530nd_rat: rat > int ).
tff(func_def_245,type,
archim8280529875227126926d_real: real > int ).
tff(func_def_246,type,
bNF_re3379532845092657523nteger: ( fun_in5519481650651148416r_bool * fun_in5519481650651148416r_bool ) > fun_fu6750301411456490045r_bool ).
tff(func_def_247,type,
bNF_re4712519889275205905nt_int: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_fu8467804991414204575t_bool ).
tff(func_def_248,type,
bNF_re6250860962936578807nt_int: ( fun_int_fun_int_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2194082084716825453t_bool ).
tff(func_def_249,type,
bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_bool * fun_Pr3145601080792579042t_bool ) > fun_fu8159772421396582028t_bool ).
tff(func_def_250,type,
bNF_re3704215830270325841atural: ( fun_na7327111457444404817l_bool * fun_na7327111457444404817l_bool ) > fun_fu3307002049327355231l_bool ).
tff(func_def_251,type,
bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu5970656269460422159t_bool ).
tff(func_def_252,type,
bNF_re6501075790457514782nteger: ( fun_num_fun_num_bool * fun_in5519481650651148416r_bool ) > fun_fu8172925815900240338r_bool ).
tff(func_def_253,type,
bNF_re1822329894187522285nt_int: ( fun_num_fun_num_bool * fun_int_fun_int_bool ) > fun_fu9051297857939674819t_bool ).
tff(func_def_254,type,
bNF_re7145576690424134365nt_int: ( fun_Pr3099820731930151597t_bool * fun_Pr3099820731930151597t_bool ) > fun_fu2754956555950464963t_bool ).
tff(func_def_255,type,
bNF_re8279943556446156061nt_rat: ( fun_Pr3145601080792579042t_bool * fun_Pr3145601080792579042t_bool ) > fun_fu2749353902725170073t_bool ).
tff(func_def_256,type,
bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).
tff(func_def_257,type,
bNF_re7400052026677387805at_int: ( fun_Pr5932607294251420486t_bool * fun_Pr5932607294251420486t_bool ) > fun_fu4671764723984660721t_bool ).
tff(func_def_258,type,
bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).
tff(func_def_259,type,
bNF_re2241393799969408733at_nat: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_fu4272674133525273539t_bool ).
tff(func_def_260,type,
bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool ) > fun_fu8602805464270671924l_bool ).
tff(func_def_261,type,
bNF_re237660433471117187t_real: ( fun_fu990398353789569848l_bool * fun_fu990398353789569848l_bool ) > fun_fu762719556336274221l_bool ).
tff(func_def_262,type,
bNF_re9178625837396562677at_rat: ( fun_fu2636726645394866687t_bool * fun_fu2636726645394866687t_bool ) > fun_fu4669108322068655547t_bool ).
tff(func_def_263,type,
binomial: fun_nat_fun_nat_nat ).
tff(func_def_264,type,
gbinomial_complex: complex > fun_nat_complex ).
tff(func_def_265,type,
gbinomial_int: int > fun_nat_int ).
tff(func_def_266,type,
gbinomial_nat: fun_nat_fun_nat_nat ).
tff(func_def_267,type,
gbinomial_rat: rat > fun_nat_rat ).
tff(func_def_268,type,
gbinomial_real: fun_re4238438383274954274t_real ).
tff(func_def_269,type,
bit_and_int_rel: fun_Pr3099820731930151597t_bool ).
tff(func_def_270,type,
bit_and_not_num: ( num * num ) > option_num ).
tff(func_def_271,type,
bit_and_not_num_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_272,type,
bit_concat_bit: ( nat * int ) > fun_int_int ).
tff(func_def_273,type,
bit_or_not_num_neg: ( num * num ) > num ).
tff(func_def_274,type,
bit_or3848514188828904588eg_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_275,type,
bit_ri7632146776885996613nteger: fun_Co8499238673658658103nteger ).
tff(func_def_276,type,
bit_ri7919022796975470100ot_int: fun_int_int ).
tff(func_def_277,type,
bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_278,type,
bit_ri631733984087533419it_int: nat > fun_int_int ).
tff(func_def_279,type,
bit_se3949692690581998587nteger: fun_Co1981900195452921617nteger ).
tff(func_def_280,type,
bit_se2773287842338716102atural: ( code_natural * code_natural ) > code_natural ).
tff(func_def_281,type,
bit_se725231765392027082nd_int: fun_int_fun_int_int ).
tff(func_def_282,type,
bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).
tff(func_def_283,type,
bit_se3928097537394005634nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_284,type,
bit_se2751692689150723149atural: ( nat * code_natural ) > code_natural ).
tff(func_def_285,type,
bit_se8568078237143864401it_int: ( nat * int ) > int ).
tff(func_def_286,type,
bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).
tff(func_def_287,type,
bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_288,type,
bit_se168947363167071951atural: ( nat * code_natural ) > code_natural ).
tff(func_def_289,type,
bit_se2159334234014336723it_int: ( nat * int ) > int ).
tff(func_def_290,type,
bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).
tff(func_def_291,type,
bit_se2119862282449309892nteger: nat > code_integer ).
tff(func_def_292,type,
bit_se2000444600071755411sk_int: fun_nat_int ).
tff(func_def_293,type,
bit_se2002935070580805687sk_nat: fun_nat_nat ).
tff(func_def_294,type,
bit_se1080825931792720795nteger: fun_Co1981900195452921617nteger ).
tff(func_def_295,type,
bit_se9127793120404214118atural: ( code_natural * code_natural ) > code_natural ).
tff(func_def_296,type,
bit_se1409905431419307370or_int: fun_int_fun_int_int ).
tff(func_def_297,type,
bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).
tff(func_def_298,type,
bit_se7788150548672797655nteger: fun_na7078387940644931716nteger ).
tff(func_def_299,type,
bit_se6611745700429515170atural: fun_na607345901702507418atural ).
tff(func_def_300,type,
bit_se545348938243370406it_int: fun_nat_fun_int_int ).
tff(func_def_301,type,
bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).
tff(func_def_302,type,
bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_303,type,
bit_se1617098188084679374atural: ( nat * code_natural ) > code_natural ).
tff(func_def_304,type,
bit_se7879613467334960850it_int: fun_nat_fun_int_int ).
tff(func_def_305,type,
bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).
tff(func_def_306,type,
bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_307,type,
bit_se569199155075624693atural: ( nat * code_natural ) > code_natural ).
tff(func_def_308,type,
bit_se2923211474154528505it_int: nat > fun_int_int ).
tff(func_def_309,type,
bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).
tff(func_def_310,type,
bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).
tff(func_def_311,type,
bit_se7083795435491715335atural: ( nat * code_natural ) > code_natural ).
tff(func_def_312,type,
bit_se4203085406695923979it_int: fun_nat_fun_int_int ).
tff(func_def_313,type,
bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).
tff(func_def_314,type,
bit_se3222712562003087583nteger: fun_Co1981900195452921617nteger ).
tff(func_def_315,type,
bit_se2046307713759805098atural: ( code_natural * code_natural ) > code_natural ).
tff(func_def_316,type,
bit_se6526347334894502574or_int: fun_int_fun_int_int ).
tff(func_def_317,type,
bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).
tff(func_def_318,type,
bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).
tff(func_def_319,type,
bit_se8040316288895769887atural: code_natural > fun_nat_bool ).
tff(func_def_320,type,
bit_se1146084159140164899it_int: int > fun_nat_bool ).
tff(func_def_321,type,
bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).
tff(func_def_322,type,
bit_take_bit_num: ( nat * num ) > option_num ).
tff(func_def_323,type,
bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).
tff(func_def_324,type,
bit_un5425074673868309765um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_325,type,
bit_un2785000775030745342or_num: fun_num_fun_num_num ).
tff(func_def_326,type,
bit_un6909899581280750971um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_327,type,
bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).
tff(func_def_328,type,
bit_un3595099601533988841um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_329,type,
bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).
tff(func_def_330,type,
bit_un4731106466462545111um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_331,type,
bit_un6697907153464112080or_num: fun_num_fun_num_num ).
tff(func_def_332,type,
bit_un4773296044027857193um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_333,type,
bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).
tff(func_def_334,type,
bit_un2901131394128224187um_rel: fun_Pr5837708615769641901m_bool ).
tff(func_def_335,type,
cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_336,type,
cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).
tff(func_def_337,type,
cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_338,type,
cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).
tff(func_def_339,type,
cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).
tff(func_def_340,type,
code_Neg: num > code_integer ).
tff(func_def_341,type,
code_Pos: num > code_integer ).
tff(func_def_342,type,
code_Suc: fun_Co7398788559141407565atural ).
tff(func_def_343,type,
code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).
tff(func_def_344,type,
code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_345,type,
code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_346,type,
code_dup: fun_Co8499238673658658103nteger ).
tff(func_def_347,type,
code_int_of_integer: fun_Code_integer_int ).
tff(func_def_348,type,
code_integer_of_int: fun_int_Code_integer ).
tff(func_def_349,type,
code_integer_of_nat: fun_nat_Code_integer ).
tff(func_def_350,type,
code_i5400310926305786745atural: fun_Co2940338738630218498nteger ).
tff(func_def_351,type,
code_integer_of_num: num > code_integer ).
tff(func_def_352,type,
code_nat_of_integer: code_integer > nat ).
tff(func_def_353,type,
code_nat_of_natural: fun_Code_natural_nat ).
tff(func_def_354,type,
code_natural_of_nat: fun_nat_Code_natural ).
tff(func_def_355,type,
code_num_of_integer: code_integer > num ).
tff(func_def_356,type,
code_pcr_integer: fun_in5519481650651148416r_bool ).
tff(func_def_357,type,
code_pcr_natural: fun_na7327111457444404817l_bool ).
tff(func_def_358,type,
code_sub: fun_nu2537414170016844299nteger ).
tff(func_def_359,type,
code_Target_negative: fun_num_int ).
tff(func_def_360,type,
code_Target_positive: fun_num_int ).
tff(func_def_361,type,
code_T6385005292777649522of_nat: fun_nat_int ).
tff(func_def_362,type,
comple4887499456419720421f_real: set_real > real ).
tff(func_def_363,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
tff(func_def_364,type,
complete_Sup_Sup_nat: set_nat > nat ).
tff(func_def_365,type,
comple1385675409528146559p_real: set_real > real ).
tff(func_def_366,type,
arg: complex > real ).
tff(func_def_367,type,
cis: real > complex ).
tff(func_def_368,type,
cnj: complex > complex ).
tff(func_def_369,type,
complex2: ( real * real ) > complex ).
tff(func_def_370,type,
im: complex > real ).
tff(func_def_371,type,
re: complex > real ).
tff(func_def_372,type,
csqrt: complex > complex ).
tff(func_def_373,type,
imaginary_unit: complex ).
tff(func_def_374,type,
rcis: ( real * real ) > complex ).
tff(func_def_375,type,
nth_item_rel: fun_nat_fun_nat_bool ).
tff(func_def_376,type,
adjust_div: product_prod_int_int > int ).
tff(func_def_377,type,
adjust_mod: ( int * int ) > int ).
tff(func_def_378,type,
divmod_nat: ( nat * nat ) > product_prod_nat_nat ).
tff(func_def_379,type,
unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).
tff(func_def_380,type,
unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).
tff(func_def_381,type,
unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_382,type,
unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).
tff(func_def_383,type,
unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).
tff(func_def_384,type,
euclid4774559944035922753ze_int: fun_int_nat ).
tff(func_def_385,type,
euclid4777050414544973029ze_nat: fun_nat_nat ).
tff(func_def_386,type,
euclid3395696857347342551nt_int: int > int ).
tff(func_def_387,type,
euclid3398187327856392827nt_nat: fun_nat_nat ).
tff(func_def_388,type,
extended_eSuc: extended_enat > extended_enat ).
tff(func_def_389,type,
extended_enat2: nat > extended_enat ).
tff(func_def_390,type,
extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).
tff(func_def_391,type,
extend5688581933313929465d_enat: extended_enat ).
tff(func_def_392,type,
comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).
tff(func_def_393,type,
comm_s2602460028002588243omplex: complex > fun_nat_complex ).
tff(func_def_394,type,
comm_s4660882817536571857er_int: int > fun_nat_int ).
tff(func_def_395,type,
comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).
tff(func_def_396,type,
comm_s4028243227959126397er_rat: rat > fun_nat_rat ).
tff(func_def_397,type,
comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).
tff(func_def_398,type,
semiri3624122377584611663nteger: nat > code_integer ).
tff(func_def_399,type,
semiri2447717529341329178atural: nat > code_natural ).
tff(func_def_400,type,
semiri5044797733671781792omplex: fun_nat_complex ).
tff(func_def_401,type,
semiri1406184849735516958ct_int: fun_nat_int ).
tff(func_def_402,type,
semiri1408675320244567234ct_nat: fun_nat_nat ).
tff(func_def_403,type,
semiri773545260158071498ct_rat: fun_nat_rat ).
tff(func_def_404,type,
semiri2265585572941072030t_real: fun_nat_real ).
tff(func_def_405,type,
invers8013647133539491842omplex: complex > complex ).
tff(func_def_406,type,
inverse_inverse_rat: fun_rat_rat ).
tff(func_def_407,type,
inverse_inverse_real: fun_real_real ).
tff(func_def_408,type,
at_bot_real: filter_real ).
tff(func_def_409,type,
at_top_int: filter_int ).
tff(func_def_410,type,
at_top_nat: filter_nat ).
tff(func_def_411,type,
at_top_real: filter_real ).
tff(func_def_412,type,
filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).
tff(func_def_413,type,
finite_card_complex: set_complex > nat ).
tff(func_def_414,type,
finite_card_bool: set_bool > nat ).
tff(func_def_415,type,
finite_card_int: set_int > nat ).
tff(func_def_416,type,
finite_card_list_nat: set_list_nat > nat ).
tff(func_def_417,type,
finite_card_nat: set_nat > nat ).
tff(func_def_418,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
tff(func_def_419,type,
finite_card_set_nat: set_set_nat > nat ).
tff(func_def_420,type,
finite_card_char: set_char > nat ).
tff(func_def_421,type,
finite_finite_nat: fun_set_nat_bool ).
tff(func_def_422,type,
bij_betw_int_nat: ( fun_int_nat * set_int ) > fun_set_nat_bool ).
tff(func_def_423,type,
bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_bool ).
tff(func_def_424,type,
bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_bool ).
tff(func_def_425,type,
bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_bool ).
tff(func_def_426,type,
bij_be5432664580149595207at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > fun_set_nat_bool ).
tff(func_def_427,type,
comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).
tff(func_def_428,type,
comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).
tff(func_def_429,type,
comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).
tff(func_def_430,type,
comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_431,type,
comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).
tff(func_def_432,type,
id_bool: fun_bool_bool ).
tff(func_def_433,type,
id_nat: fun_nat_nat ).
tff(func_def_434,type,
inj_on_nat_int: fun_nat_int > fun_set_nat_bool ).
tff(func_def_435,type,
inj_on_nat_list_nat: fun_nat_list_nat > fun_set_nat_bool ).
tff(func_def_436,type,
inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).
tff(func_def_437,type,
inj_on5538052773655684606at_nat: fun_na1476630412504255114at_nat > fun_set_nat_bool ).
tff(func_def_438,type,
inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).
tff(func_def_439,type,
inj_on5701776251185195458at_nat: fun_na3635074868517587788at_nat > fun_set_nat_bool ).
tff(func_def_440,type,
map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).
tff(func_def_441,type,
map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).
tff(func_def_442,type,
map_fu2787874002554666395nteger: ( fun_Code_natural_nat * fun_int_Code_integer * fun_nat_int ) > fun_Co2940338738630218498nteger ).
tff(func_def_443,type,
map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).
tff(func_def_444,type,
map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).
tff(func_def_445,type,
map_fu6608131713810608381l_bool: ( fun_in4514472496968388910at_nat * fun_bool_bool ) > fun_fu2868497722653781188t_bool ).
tff(func_def_446,type,
map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).
tff(func_def_447,type,
map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).
tff(func_def_448,type,
map_fu2743658913401090412t_bool: ( fun_in4514472496968388910at_nat * fun_fu2868497722653781188t_bool * fun_Pr248683899324676269t_bool ) > fun_int_fun_int_bool ).
tff(func_def_449,type,
map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).
tff(func_def_450,type,
map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).
tff(func_def_451,type,
map_fu214667362969451334nteger: ( fun_nat_nat * fun_fu6921880696561781257nteger * fun_nat_fun_int_int ) > fun_na7078387940644931716nteger ).
tff(func_def_452,type,
map_fu5588224966615042724atural: ( fun_nat_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_na607345901702507418atural ).
tff(func_def_453,type,
map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).
tff(func_def_454,type,
map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).
tff(func_def_455,type,
map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).
tff(func_def_456,type,
map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).
tff(func_def_457,type,
map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).
tff(func_def_458,type,
map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).
tff(func_def_459,type,
the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).
tff(func_def_460,type,
gcd_Gcd_int: set_int > int ).
tff(func_def_461,type,
gcd_Gcd_nat: set_nat > nat ).
tff(func_def_462,type,
gcd_Lcm_int: set_int > int ).
tff(func_def_463,type,
gcd_Lcm_nat: set_nat > nat ).
tff(func_def_464,type,
bezw: ( nat * nat ) > product_prod_int_int ).
tff(func_def_465,type,
bezw_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_466,type,
gcd_gcd_Code_integer: fun_Co1981900195452921617nteger ).
tff(func_def_467,type,
gcd_gcd_int: fun_int_fun_int_int ).
tff(func_def_468,type,
gcd_gcd_nat: fun_nat_fun_nat_nat ).
tff(func_def_469,type,
gcd_lcm_Code_integer: fun_Co1981900195452921617nteger ).
tff(func_def_470,type,
gcd_lcm_int: fun_int_fun_int_int ).
tff(func_def_471,type,
gcd_lcm_nat: fun_nat_fun_nat_nat ).
tff(func_def_472,type,
gcd_nat_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_473,type,
abs_abs_Code_integer: code_integer > code_integer ).
tff(func_def_474,type,
abs_abs_complex: complex > complex ).
tff(func_def_475,type,
abs_abs_int: fun_int_int ).
tff(func_def_476,type,
abs_abs_rat: rat > rat ).
tff(func_def_477,type,
abs_abs_real: fun_real_real ).
tff(func_def_478,type,
comm_monoid_nat: fun_nat_fun_nat_nat > fun_nat_bool ).
tff(func_def_479,type,
minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).
tff(func_def_480,type,
minus_7197305767214868737atural: fun_Co6813818151677833714atural ).
tff(func_def_481,type,
minus_minus_complex: ( complex * complex ) > complex ).
tff(func_def_482,type,
minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_483,type,
minus_minus_int: fun_int_fun_int_int ).
tff(func_def_484,type,
minus_minus_nat: fun_nat_fun_nat_nat ).
tff(func_def_485,type,
minus_minus_rat: ( rat * rat ) > rat ).
tff(func_def_486,type,
minus_minus_real: fun_re7681423839302404990l_real ).
tff(func_def_487,type,
minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).
tff(func_def_488,type,
monoid_nat: fun_nat_fun_nat_nat > fun_nat_bool ).
tff(func_def_489,type,
one_one_Code_integer: code_integer ).
tff(func_def_490,type,
one_one_Code_natural: code_natural ).
tff(func_def_491,type,
one_one_complex: complex ).
tff(func_def_492,type,
one_on7984719198319812577d_enat: extended_enat ).
tff(func_def_493,type,
one_one_int: int ).
tff(func_def_494,type,
one_one_nat: nat ).
tff(func_def_495,type,
one_one_rat: rat ).
tff(func_def_496,type,
one_one_real: real ).
tff(func_def_497,type,
plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).
tff(func_def_498,type,
plus_p4538020629002901425atural: fun_Co6813818151677833714atural ).
tff(func_def_499,type,
plus_plus_complex: ( complex * complex ) > complex ).
tff(func_def_500,type,
plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_501,type,
plus_plus_int: fun_int_fun_int_int ).
tff(func_def_502,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(func_def_503,type,
plus_plus_num: ( num * num ) > num ).
tff(func_def_504,type,
plus_plus_rat: fun_rat_fun_rat_rat ).
tff(func_def_505,type,
plus_plus_real: fun_re7681423839302404990l_real ).
tff(func_def_506,type,
plus_plus_literal: ( literal * literal ) > literal ).
tff(func_def_507,type,
sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).
tff(func_def_508,type,
sgn_sgn_complex: complex > complex ).
tff(func_def_509,type,
sgn_sgn_int: fun_int_int ).
tff(func_def_510,type,
sgn_sgn_rat: rat > rat ).
tff(func_def_511,type,
sgn_sgn_real: fun_real_real ).
tff(func_def_512,type,
times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).
tff(func_def_513,type,
times_2397367101498566445atural: fun_Co6813818151677833714atural ).
tff(func_def_514,type,
times_times_complex: complex > fun_complex_complex ).
tff(func_def_515,type,
times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).
tff(func_def_516,type,
times_times_int: fun_int_fun_int_int ).
tff(func_def_517,type,
times_times_nat: fun_nat_fun_nat_nat ).
tff(func_def_518,type,
times_times_num: ( num * num ) > num ).
tff(func_def_519,type,
times_times_rat: fun_rat_fun_rat_rat ).
tff(func_def_520,type,
times_times_real: fun_re7681423839302404990l_real ).
tff(func_def_521,type,
uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).
tff(func_def_522,type,
uminus1482373934393186551omplex: complex > complex ).
tff(func_def_523,type,
uminus_uminus_int: fun_int_int ).
tff(func_def_524,type,
uminus_uminus_rat: rat > rat ).
tff(func_def_525,type,
uminus_uminus_real: fun_real_real ).
tff(func_def_526,type,
zero_z3403309356797280102nteger: code_integer ).
tff(func_def_527,type,
zero_z2226904508553997617atural: code_natural ).
tff(func_def_528,type,
zero_zero_complex: complex ).
tff(func_def_529,type,
zero_z5237406670263579293d_enat: extended_enat ).
tff(func_def_530,type,
zero_zero_int: int ).
tff(func_def_531,type,
zero_zero_nat: nat ).
tff(func_def_532,type,
zero_zero_rat: rat ).
tff(func_def_533,type,
zero_zero_real: real ).
tff(func_def_534,type,
zero_zero_literal: literal ).
tff(func_def_535,type,
groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).
tff(func_def_536,type,
groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).
tff(func_def_537,type,
groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).
tff(func_def_538,type,
groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).
tff(func_def_539,type,
groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).
tff(func_def_540,type,
groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).
tff(func_def_541,type,
groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).
tff(func_def_542,type,
groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).
tff(func_def_543,type,
groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).
tff(func_def_544,type,
groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).
tff(func_def_545,type,
groups4561878855575611511st_nat: list_nat > nat ).
tff(func_def_546,type,
the_int: fun_int_bool > int ).
tff(func_def_547,type,
the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).
tff(func_def_548,type,
the_real: fun_real_bool > real ).
tff(func_def_549,type,
if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).
tff(func_def_550,type,
if_Extended_enat: ( bool * extended_enat * extended_enat ) > extended_enat ).
tff(func_def_551,type,
if_int: ( bool * int * int ) > int ).
tff(func_def_552,type,
if_nat: bool > fun_nat_fun_nat_nat ).
tff(func_def_553,type,
if_num: ( bool * num * num ) > num ).
tff(func_def_554,type,
if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_555,type,
if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).
tff(func_def_556,type,
if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).
tff(func_def_557,type,
if_real: bool > fun_re7681423839302404990l_real ).
tff(func_def_558,type,
if_Sum_sum_nat_nat: ( bool * sum_sum_nat_nat * sum_sum_nat_nat ) > sum_sum_nat_nat ).
tff(func_def_559,type,
if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).
tff(func_def_560,type,
if_fun_nat_rat: ( bool * fun_nat_rat * fun_nat_rat ) > fun_nat_rat ).
tff(func_def_561,type,
if_fun5757141600869472092nt_int: ( bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > fun_nat_fun_int_int ).
tff(func_def_562,type,
if_fun6060303171108177060at_nat: ( bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > fun_nat_fun_nat_nat ).
tff(func_def_563,type,
abs_Integ: fun_Pr7647638413817135296at_int ).
tff(func_def_564,type,
neg: num > int ).
tff(func_def_565,type,
pos: fun_num_int ).
tff(func_def_566,type,
rep_Integ: fun_in4514472496968388910at_nat ).
tff(func_def_567,type,
cr_int: fun_Pr5932607294251420486t_bool ).
tff(func_def_568,type,
dup: int > int ).
tff(func_def_569,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
tff(func_def_570,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
tff(func_def_571,type,
intrel: fun_Pr248683899324676269t_bool ).
tff(func_def_572,type,
nat2: fun_int_nat ).
tff(func_def_573,type,
pcr_int: fun_Pr5932607294251420486t_bool ).
tff(func_def_574,type,
power_int_real: ( real * int ) > real ).
tff(func_def_575,type,
ring_11222124179247155820nteger: set_Code_integer ).
tff(func_def_576,type,
ring_1_Ints_complex: set_complex ).
tff(func_def_577,type,
ring_1_Ints_int: set_int ).
tff(func_def_578,type,
ring_1_Ints_rat: set_rat ).
tff(func_def_579,type,
ring_1_Ints_real: set_real ).
tff(func_def_580,type,
ring_18347121197199848620nteger: int > code_integer ).
tff(func_def_581,type,
ring_17405671764205052669omplex: int > complex ).
tff(func_def_582,type,
ring_1_of_int_int: int > int ).
tff(func_def_583,type,
ring_1_of_int_rat: int > rat ).
tff(func_def_584,type,
ring_1_of_int_real: int > real ).
tff(func_def_585,type,
sub: ( num * num ) > int ).
tff(func_def_586,type,
inf_inf_int: fun_int_fun_int_int ).
tff(func_def_587,type,
inf_inf_nat: fun_nat_fun_nat_nat ).
tff(func_def_588,type,
semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_bool ).
tff(func_def_589,type,
sup_sup_int: fun_int_fun_int_int ).
tff(func_def_590,type,
sup_sup_nat: fun_nat_fun_nat_nat ).
tff(func_def_591,type,
sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).
tff(func_def_592,type,
sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_593,type,
lattic8263393255366662781ax_int: set_int > int ).
tff(func_def_594,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
tff(func_def_595,type,
lattic7826324295020591184_F_nat: ( fun_nat_fun_nat_nat * nat * set_nat ) > nat ).
tff(func_def_596,type,
at_infinity_real: filter_real ).
tff(func_def_597,type,
append_int: ( list_int * list_int ) > list_int ).
tff(func_def_598,type,
append_nat: ( list_nat * list_nat ) > list_nat ).
tff(func_def_599,type,
drop_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_600,type,
fold_int_int: ( fun_int_fun_int_int * list_int * int ) > int ).
tff(func_def_601,type,
fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).
tff(func_def_602,type,
last_nat: list_nat > nat ).
tff(func_def_603,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
tff(func_def_604,type,
cons_int: ( int * list_int ) > list_int ).
tff(func_def_605,type,
cons_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_606,type,
nil_int: list_int ).
tff(func_def_607,type,
nil_nat: list_nat ).
tff(func_def_608,type,
map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).
tff(func_def_609,type,
set_complex2: list_complex > set_complex ).
tff(func_def_610,type,
set_bool2: list_bool > set_bool ).
tff(func_def_611,type,
set_int2: list_int > set_int ).
tff(func_def_612,type,
set_nat2: list_nat > set_nat ).
tff(func_def_613,type,
set_real2: list_real > set_real ).
tff(func_def_614,type,
set_set_nat2: list_set_nat > set_set_nat ).
tff(func_def_615,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
tff(func_def_616,type,
size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).
tff(func_def_617,type,
tl_nat: list_nat > list_nat ).
tff(func_def_618,type,
nth_complex: list_complex > fun_nat_complex ).
tff(func_def_619,type,
nth_bool: list_bool > fun_nat_bool ).
tff(func_def_620,type,
nth_int: list_int > fun_nat_int ).
tff(func_def_621,type,
nth_nat: list_nat > fun_nat_nat ).
tff(func_def_622,type,
nth_real: list_real > fun_nat_real ).
tff(func_def_623,type,
nth_set_nat: list_set_nat > fun_nat_set_nat ).
tff(func_def_624,type,
nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_625,type,
replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_626,type,
rotate1_bool: list_bool > list_bool ).
tff(func_def_627,type,
rotate1_int: list_int > list_int ).
tff(func_def_628,type,
rotate1_nat: list_nat > list_nat ).
tff(func_def_629,type,
rotate1_VEBT_VEBT: list_VEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_630,type,
subseqs_bool: list_bool > list_list_bool ).
tff(func_def_631,type,
subseqs_int: list_int > list_list_int ).
tff(func_def_632,type,
subseqs_nat: list_nat > list_list_nat ).
tff(func_def_633,type,
subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).
tff(func_def_634,type,
take_nat: ( nat * list_nat ) > list_nat ).
tff(func_def_635,type,
upt: ( nat * nat ) > list_nat ).
tff(func_def_636,type,
upto: ( int * int ) > list_int ).
tff(func_def_637,type,
upto_aux: ( int * int * list_int ) > list_int ).
tff(func_def_638,type,
upto_rel: fun_Pr3099820731930151597t_bool ).
tff(func_def_639,type,
suc: fun_nat_nat ).
tff(func_def_640,type,
compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_641,type,
case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_642,type,
case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_643,type,
case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).
tff(func_def_644,type,
pred: fun_nat_nat ).
tff(func_def_645,type,
semiri3842193898606819883omplex: set_complex ).
tff(func_def_646,type,
semiring_1_Nats_int: set_int ).
tff(func_def_647,type,
semiri4939895301339042750nteger: nat > code_integer ).
tff(func_def_648,type,
semiri3763490453095760265atural: nat > code_natural ).
tff(func_def_649,type,
semiri8010041392384452111omplex: fun_nat_complex ).
tff(func_def_650,type,
semiri1314217659103216013at_int: fun_nat_int ).
tff(func_def_651,type,
semiri1316708129612266289at_nat: fun_nat_nat ).
tff(func_def_652,type,
semiri681578069525770553at_rat: fun_nat_rat ).
tff(func_def_653,type,
semiri5074537144036343181t_real: fun_nat_real ).
tff(func_def_654,type,
size_s3451745648224563538omplex: list_complex > nat ).
tff(func_def_655,type,
size_size_list_bool: list_bool > nat ).
tff(func_def_656,type,
size_size_list_int: list_int > nat ).
tff(func_def_657,type,
size_s9193230429364170767t_bool: list_list_bool > nat ).
tff(func_def_658,type,
size_s533118279054570080st_int: list_list_int > nat ).
tff(func_def_659,type,
size_s3023201423986296836st_nat: list_list_nat > nat ).
tff(func_def_660,type,
size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).
tff(func_def_661,type,
size_size_list_nat: list_nat > nat ).
tff(func_def_662,type,
size_size_list_real: list_real > nat ).
tff(func_def_663,type,
size_s3254054031482475050et_nat: list_set_nat > nat ).
tff(func_def_664,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
tff(func_def_665,type,
size_size_num: num > nat ).
tff(func_def_666,type,
size_size_char: char > nat ).
tff(func_def_667,type,
size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).
tff(func_def_668,type,
nat_int_decode: fun_nat_int ).
tff(func_def_669,type,
nat_int_encode: fun_int_nat ).
tff(func_def_670,type,
nat_list_decode: fun_nat_list_nat ).
tff(func_def_671,type,
nat_list_decode_rel: fun_nat_fun_nat_bool ).
tff(func_def_672,type,
nat_list_encode: fun_list_nat_nat ).
tff(func_def_673,type,
nat_list_encode_rel: fun_li8598321315282354825t_bool ).
tff(func_def_674,type,
nat_prod_decode: fun_na1476630412504255114at_nat ).
tff(func_def_675,type,
nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).
tff(func_def_676,type,
nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).
tff(func_def_677,type,
nat_prod_encode: fun_Pr2602117396471556196at_nat ).
tff(func_def_678,type,
nat_set_decode: fun_nat_set_nat ).
tff(func_def_679,type,
nat_set_encode: fun_set_nat_nat ).
tff(func_def_680,type,
nat_sum_decode: fun_na3635074868517587788at_nat ).
tff(func_def_681,type,
nat_sum_encode: fun_Su884838341992399436at_nat ).
tff(func_def_682,type,
nat_triangle: fun_nat_nat ).
tff(func_def_683,type,
root: fun_na6724076748692969250l_real ).
tff(func_def_684,type,
sqrt: fun_real_real ).
tff(func_def_685,type,
bitM: num > num ).
tff(func_def_686,type,
inc: num > num ).
tff(func_def_687,type,
nat_of_num: fun_num_nat ).
tff(func_def_688,type,
neg_nu8804712462038260780nteger: code_integer > code_integer ).
tff(func_def_689,type,
neg_nu7009210354673126013omplex: complex > complex ).
tff(func_def_690,type,
neg_numeral_dbl_int: int > int ).
tff(func_def_691,type,
neg_numeral_dbl_rat: rat > rat ).
tff(func_def_692,type,
neg_numeral_dbl_real: fun_real_real ).
tff(func_def_693,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
tff(func_def_694,type,
neg_nu6511756317524482435omplex: complex > complex ).
tff(func_def_695,type,
neg_nu3811975205180677377ec_int: int > int ).
tff(func_def_696,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
tff(func_def_697,type,
neg_nu6075765906172075777c_real: fun_real_real ).
tff(func_def_698,type,
neg_nu5831290666863070958nteger: code_integer > code_integer ).
tff(func_def_699,type,
neg_nu8557863876264182079omplex: complex > complex ).
tff(func_def_700,type,
neg_nu5851722552734809277nc_int: int > int ).
tff(func_def_701,type,
neg_nu5219082963157363817nc_rat: rat > rat ).
tff(func_def_702,type,
neg_nu8295874005876285629c_real: fun_real_real ).
tff(func_def_703,type,
neg_nu5755505904847501662nteger: ( num * num ) > code_integer ).
tff(func_def_704,type,
neg_nu8416839295433526191omplex: ( num * num ) > complex ).
tff(func_def_705,type,
neg_numeral_sub_int: ( num * num ) > int ).
tff(func_def_706,type,
neg_numeral_sub_rat: ( num * num ) > rat ).
tff(func_def_707,type,
neg_numeral_sub_real: ( num * num ) > real ).
tff(func_def_708,type,
bit0: fun_num_num ).
tff(func_def_709,type,
bit1: fun_num_num ).
tff(func_def_710,type,
one: num ).
tff(func_def_711,type,
case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).
tff(func_def_712,type,
size_num: num > nat ).
tff(func_def_713,type,
num_of_nat: fun_nat_num ).
tff(func_def_714,type,
numera6620942414471956472nteger: num > code_integer ).
tff(func_def_715,type,
numera5444537566228673987atural: num > code_natural ).
tff(func_def_716,type,
numera6690914467698888265omplex: num > complex ).
tff(func_def_717,type,
numera1916890842035813515d_enat: num > extended_enat ).
tff(func_def_718,type,
numeral_numeral_int: fun_num_int ).
tff(func_def_719,type,
numeral_numeral_nat: fun_num_nat ).
tff(func_def_720,type,
numeral_numeral_rat: num > rat ).
tff(func_def_721,type,
numeral_numeral_real: num > real ).
tff(func_def_722,type,
pow: ( num * num ) > num ).
tff(func_def_723,type,
pred_numeral: num > nat ).
tff(func_def_724,type,
sqr: num > num ).
tff(func_def_725,type,
none_num: option_num ).
tff(func_def_726,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
tff(func_def_727,type,
some_num: num > option_num ).
tff(func_def_728,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
tff(func_def_729,type,
case_option_int_num: ( int * fun_num_int * option_num ) > int ).
tff(func_def_730,type,
case_option_num_num: ( num * fun_num_num * option_num ) > num ).
tff(func_def_731,type,
case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).
tff(func_def_732,type,
map_option_num_num: ( fun_num_num * option_num ) > option_num ).
tff(func_def_733,type,
bot_bot_nat: nat ).
tff(func_def_734,type,
bot_bot_set_int: set_int ).
tff(func_def_735,type,
bot_bot_set_nat: set_nat ).
tff(func_def_736,type,
bot_bot_set_real: set_real ).
tff(func_def_737,type,
ord_Least_nat: fun_nat_bool > nat ).
tff(func_def_738,type,
ord_Least_real: fun_real_bool > real ).
tff(func_def_739,type,
ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).
tff(func_def_740,type,
ord_less_int: fun_int_fun_int_bool ).
tff(func_def_741,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_742,type,
ord_less_num: num > fun_num_bool ).
tff(func_def_743,type,
ord_less_rat: fun_rat_fun_rat_bool ).
tff(func_def_744,type,
ord_less_real: fun_re1255401033344146673l_bool ).
tff(func_def_745,type,
ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).
tff(func_def_746,type,
ord_less_eq_int: fun_int_fun_int_bool ).
tff(func_def_747,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_748,type,
ord_less_eq_num: num > fun_num_bool ).
tff(func_def_749,type,
ord_less_eq_rat: fun_rat_fun_rat_bool ).
tff(func_def_750,type,
ord_less_eq_real: fun_re1255401033344146673l_bool ).
tff(func_def_751,type,
ord_less_eq_set_nat: set_nat > fun_set_nat_bool ).
tff(func_def_752,type,
ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).
tff(func_def_753,type,
ord_max_int: fun_int_fun_int_int ).
tff(func_def_754,type,
ord_max_nat: fun_nat_fun_nat_nat ).
tff(func_def_755,type,
ord_max_num: ( num * num ) > num ).
tff(func_def_756,type,
ord_max_rat: ( rat * rat ) > rat ).
tff(func_def_757,type,
ord_max_real: fun_re7681423839302404990l_real ).
tff(func_def_758,type,
ord_min_int: fun_int_fun_int_int ).
tff(func_def_759,type,
ord_min_nat: fun_nat_fun_nat_nat ).
tff(func_def_760,type,
ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_761,type,
top_top_set_bool: set_bool ).
tff(func_def_762,type,
top_top_set_int: set_int ).
tff(func_def_763,type,
top_top_set_list_nat: set_list_nat ).
tff(func_def_764,type,
top_top_set_nat: set_nat ).
tff(func_def_765,type,
top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).
tff(func_def_766,type,
top_to1996260823553986621t_unit: set_Product_unit ).
tff(func_def_767,type,
top_top_set_real: set_real ).
tff(func_def_768,type,
top_top_set_char: set_char ).
tff(func_def_769,type,
top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).
tff(func_def_770,type,
power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).
tff(func_def_771,type,
power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).
tff(func_def_772,type,
power_power_complex: complex > fun_nat_complex ).
tff(func_def_773,type,
power_power_int: int > fun_nat_int ).
tff(func_def_774,type,
power_power_nat: fun_nat_fun_nat_nat ).
tff(func_def_775,type,
power_power_rat: rat > fun_nat_rat ).
tff(func_def_776,type,
power_power_real: fun_re4238438383274954274t_real ).
tff(func_def_777,type,
produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_778,type,
produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).
tff(func_def_779,type,
produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).
tff(func_def_780,type,
produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).
tff(func_def_781,type,
product_Pair_int_int: ( int * int ) > product_prod_int_int ).
tff(func_def_782,type,
product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).
tff(func_def_783,type,
product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).
tff(func_def_784,type,
product_Pair_num_num: ( num * num ) > product_prod_num_num ).
tff(func_def_785,type,
produc4480994950612372183atural: ( produc7822875418678951345atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).
tff(func_def_786,type,
produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).
tff(func_def_787,type,
produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_788,type,
produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).
tff(func_def_789,type,
produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).
tff(func_def_790,type,
produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).
tff(func_def_791,type,
produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).
tff(func_def_792,type,
produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_793,type,
produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).
tff(func_def_794,type,
produc8282080750456430313atural: ( fun_Co1890133979025130057atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).
tff(func_def_795,type,
produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).
tff(func_def_796,type,
produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).
tff(func_def_797,type,
produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).
tff(func_def_798,type,
produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).
tff(func_def_799,type,
produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).
tff(func_def_800,type,
produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).
tff(func_def_801,type,
produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).
tff(func_def_802,type,
produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).
tff(func_def_803,type,
produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).
tff(func_def_804,type,
produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).
tff(func_def_805,type,
product_fst_int_int: product_prod_int_int > int ).
tff(func_def_806,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
tff(func_def_807,type,
produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).
tff(func_def_808,type,
product_snd_int_int: product_prod_int_int > int ).
tff(func_def_809,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
tff(func_def_810,type,
produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).
tff(func_def_811,type,
inc_shift: ( code_natural * code_natural ) > code_natural ).
tff(func_def_812,type,
iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).
tff(func_def_813,type,
log: ( code_natural * code_natural ) > code_natural ).
tff(func_def_814,type,
log_rel: fun_Pr4637083014979798189l_bool ).
tff(func_def_815,type,
minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).
tff(func_def_816,type,
next: fun_Pr7769407664385210434atural ).
tff(func_def_817,type,
range: code_natural > fun_Pr7769407664385210434atural ).
tff(func_def_818,type,
split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).
tff(func_def_819,type,
abs_Rat: fun_Pr1652463973008025892nt_rat ).
tff(func_def_820,type,
fract: fun_int_fun_int_rat ).
tff(func_def_821,type,
frct: product_prod_int_int > rat ).
tff(func_def_822,type,
rep_Rat: fun_ra4503298312962071866nt_int ).
tff(func_def_823,type,
field_5140801741446780682s_real: set_real ).
tff(func_def_824,type,
field_7254667332652039916t_real: fun_rat_real ).
tff(func_def_825,type,
normalize: product_prod_int_int > product_prod_int_int ).
tff(func_def_826,type,
of_int: int > rat ).
tff(func_def_827,type,
pcr_rat: fun_Pr3145601080792579042t_bool ).
tff(func_def_828,type,
positive: fun_rat_bool ).
tff(func_def_829,type,
quotient_of: rat > product_prod_int_int ).
tff(func_def_830,type,
ratrel: fun_Pr3099820731930151597t_bool ).
tff(func_def_831,type,
ratreal: fun_rat_real ).
tff(func_def_832,type,
real2: fun_fun_nat_rat_real ).
tff(func_def_833,type,
cr_real: fun_fu990398353789569848l_bool ).
tff(func_def_834,type,
pcr_real: fun_fu990398353789569848l_bool ).
tff(func_def_835,type,
positive2: fun_real_bool ).
tff(func_def_836,type,
realrel: fun_fu2636726645394866687t_bool ).
tff(func_def_837,type,
rep_real: fun_real_fun_nat_rat ).
tff(func_def_838,type,
vanishes: fun_nat_rat > bool ).
tff(func_def_839,type,
real_V2521375963428798218omplex: set_complex ).
tff(func_def_840,type,
real_V470468836141973256s_real: set_real ).
tff(func_def_841,type,
real_V3694042436643373181omplex: ( complex * complex ) > real ).
tff(func_def_842,type,
real_V975177566351809787t_real: fun_re7681423839302404990l_real ).
tff(func_def_843,type,
real_V1022390504157884413omplex: complex > real ).
tff(func_def_844,type,
real_V7735802525324610683m_real: fun_real_real ).
tff(func_def_845,type,
real_V4546457046886955230omplex: real > complex ).
tff(func_def_846,type,
real_V1803761363581548252l_real: fun_real_real ).
tff(func_def_847,type,
real_V2046097035970521341omplex: ( real * complex ) > complex ).
tff(func_def_848,type,
real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).
tff(func_def_849,type,
algebr932160517623751201me_int: fun_int_fun_int_bool ).
tff(func_def_850,type,
algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).
tff(func_def_851,type,
divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).
tff(func_def_852,type,
divide5121882707175180666atural: fun_Co6813818151677833714atural ).
tff(func_def_853,type,
divide1717551699836669952omplex: ( complex * complex ) > complex ).
tff(func_def_854,type,
divide_divide_int: fun_int_fun_int_int ).
tff(func_def_855,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(func_def_856,type,
divide_divide_rat: ( rat * rat ) > rat ).
tff(func_def_857,type,
divide_divide_real: fun_re7681423839302404990l_real ).
tff(func_def_858,type,
dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).
tff(func_def_859,type,
dvd_dvd_Code_natural: ( code_natural * code_natural ) > bool ).
tff(func_def_860,type,
dvd_dvd_complex: complex > fun_complex_bool ).
tff(func_def_861,type,
dvd_dvd_int: fun_int_fun_int_bool ).
tff(func_def_862,type,
dvd_dvd_nat: fun_nat_fun_nat_bool ).
tff(func_def_863,type,
dvd_dvd_rat: fun_rat_fun_rat_bool ).
tff(func_def_864,type,
dvd_dvd_real: fun_re1255401033344146673l_bool ).
tff(func_def_865,type,
modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).
tff(func_def_866,type,
modulo8411746178871703098atural: ( code_natural * code_natural ) > code_natural ).
tff(func_def_867,type,
modulo_modulo_int: ( int * int ) > int ).
tff(func_def_868,type,
modulo_modulo_nat: fun_nat_fun_nat_nat ).
tff(func_def_869,type,
normal571682499473568032ze_int: fun_int_int ).
tff(func_def_870,type,
normal574172969982618308ze_nat: fun_nat_nat ).
tff(func_def_871,type,
unit_f2746056213392204926or_int: fun_int_int ).
tff(func_def_872,type,
unit_f2748546683901255202or_nat: fun_nat_nat ).
tff(func_def_873,type,
zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).
tff(func_def_874,type,
zero_n8403883297036319079atural: bool > code_natural ).
tff(func_def_875,type,
zero_n1201886186963655149omplex: bool > complex ).
tff(func_def_876,type,
zero_n2684676970156552555ol_int: fun_bool_int ).
tff(func_def_877,type,
zero_n2687167440665602831ol_nat: fun_bool_nat ).
tff(func_def_878,type,
zero_n2052037380579107095ol_rat: bool > rat ).
tff(func_def_879,type,
zero_n3304061248610475627l_real: bool > real ).
tff(func_def_880,type,
suminf_real: fun_nat_real > real ).
tff(func_def_881,type,
sums_real: fun_nat_real > fun_real_bool ).
tff(func_def_882,type,
collect_complex: fun_complex_bool > set_complex ).
tff(func_def_883,type,
collect_int: fun_int_bool > set_int ).
tff(func_def_884,type,
collect_list_nat: fun_list_nat_bool > set_list_nat ).
tff(func_def_885,type,
collect_nat: fun_nat_bool > set_nat ).
tff(func_def_886,type,
collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).
tff(func_def_887,type,
collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).
tff(func_def_888,type,
collect_real: fun_real_bool > set_real ).
tff(func_def_889,type,
collect_set_nat: fun_set_nat_bool > set_set_nat ).
tff(func_def_890,type,
pow_nat: set_nat > set_set_nat ).
tff(func_def_891,type,
image_int_int: ( fun_int_int * set_int ) > set_int ).
tff(func_def_892,type,
image_int_nat: ( fun_int_nat * set_int ) > set_nat ).
tff(func_def_893,type,
image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).
tff(func_def_894,type,
image_nat_int: ( fun_nat_int * set_nat ) > set_int ).
tff(func_def_895,type,
image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).
tff(func_def_896,type,
image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).
tff(func_def_897,type,
image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).
tff(func_def_898,type,
image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).
tff(func_def_899,type,
image_nat_char: ( fun_nat_char * set_nat ) > set_char ).
tff(func_def_900,type,
image_678696785212003926at_nat: ( fun_na3635074868517587788at_nat * set_nat ) > set_Sum_sum_nat_nat ).
tff(func_def_901,type,
image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).
tff(func_def_902,type,
image_real_real: ( fun_real_real * set_real ) > set_real ).
tff(func_def_903,type,
image_char_nat: ( fun_char_nat * set_char ) > set_nat ).
tff(func_def_904,type,
image_1320371278474632150at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > set_nat ).
tff(func_def_905,type,
insert_int: ( int * set_int ) > set_int ).
tff(func_def_906,type,
insert_nat: ( nat * set_nat ) > set_nat ).
tff(func_def_907,type,
insert_real: ( real * set_real ) > set_real ).
tff(func_def_908,type,
vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).
tff(func_def_909,type,
set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).
tff(func_def_910,type,
set_or1266510415728281911st_int: ( int * int ) > set_int ).
tff(func_def_911,type,
set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).
tff(func_def_912,type,
set_or1222579329274155063t_real: ( real * real ) > set_real ).
tff(func_def_913,type,
set_or4662586982721622107an_int: ( int * int ) > set_int ).
tff(func_def_914,type,
set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).
tff(func_def_915,type,
set_ord_atLeast_nat: fun_nat_set_nat ).
tff(func_def_916,type,
set_ord_atLeast_real: real > set_real ).
tff(func_def_917,type,
set_ord_atMost_nat: fun_nat_set_nat ).
tff(func_def_918,type,
set_or6656581121297822940st_int: ( int * int ) > set_int ).
tff(func_def_919,type,
set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).
tff(func_def_920,type,
set_or5832277885323065728an_int: ( int * int ) > set_int ).
tff(func_def_921,type,
set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).
tff(func_def_922,type,
set_or1633881224788618240n_real: ( real * real ) > set_real ).
tff(func_def_923,type,
set_or1210151606488870762an_nat: fun_nat_set_nat ).
tff(func_def_924,type,
set_or5849166863359141190n_real: real > set_real ).
tff(func_def_925,type,
set_ord_lessThan_nat: fun_nat_set_nat ).
tff(func_def_926,type,
set_or5984915006950818249n_real: real > set_real ).
tff(func_def_927,type,
abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).
tff(func_def_928,type,
literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).
tff(func_def_929,type,
ascii_of: char > char ).
tff(func_def_930,type,
char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).
tff(func_def_931,type,
size_char: char > nat ).
tff(func_def_932,type,
comm_s629917340098488124ar_nat: fun_char_nat ).
tff(func_def_933,type,
integer_of_char: char > code_integer ).
tff(func_def_934,type,
unique3096191561947761185of_nat: fun_nat_char ).
tff(func_def_935,type,
sum_Inl_nat_nat: nat > sum_sum_nat_nat ).
tff(func_def_936,type,
sum_Inr_nat_nat: nat > sum_sum_nat_nat ).
tff(func_def_937,type,
sum_ca7763040182479039464nt_nat: ( fun_nat_int * fun_nat_int * sum_sum_nat_nat ) > int ).
tff(func_def_938,type,
sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).
tff(func_def_939,type,
topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).
tff(func_def_940,type,
topolo2815343760600316023s_real: real > filter_real ).
tff(func_def_941,type,
arccos: fun_real_real ).
tff(func_def_942,type,
arcosh_real: fun_real_real ).
tff(func_def_943,type,
arcsin: fun_real_real ).
tff(func_def_944,type,
arctan: fun_real_real ).
tff(func_def_945,type,
arsinh_real: fun_real_real ).
tff(func_def_946,type,
artanh_real: fun_real_real ).
tff(func_def_947,type,
cos_complex: complex > complex ).
tff(func_def_948,type,
cos_real: fun_real_real ).
tff(func_def_949,type,
cos_coeff: fun_nat_real ).
tff(func_def_950,type,
cosh_complex: complex > complex ).
tff(func_def_951,type,
cosh_real: fun_real_real ).
tff(func_def_952,type,
cot_complex: complex > complex ).
tff(func_def_953,type,
cot_real: fun_real_real ).
tff(func_def_954,type,
exp_complex: complex > complex ).
tff(func_def_955,type,
exp_real: fun_real_real ).
tff(func_def_956,type,
ln_ln_real: fun_real_real ).
tff(func_def_957,type,
log2: fun_re7681423839302404990l_real ).
tff(func_def_958,type,
pi: real ).
tff(func_def_959,type,
powr_real: fun_re7681423839302404990l_real ).
tff(func_def_960,type,
powr_real2: fun_re7681423839302404990l_real ).
tff(func_def_961,type,
sin_complex: complex > complex ).
tff(func_def_962,type,
sin_real: fun_real_real ).
tff(func_def_963,type,
sin_coeff: fun_nat_real ).
tff(func_def_964,type,
sinh_complex: complex > complex ).
tff(func_def_965,type,
sinh_real: fun_real_real ).
tff(func_def_966,type,
tan_complex: complex > complex ).
tff(func_def_967,type,
tan_real: fun_real_real ).
tff(func_def_968,type,
tanh_complex: complex > complex ).
tff(func_def_969,type,
tanh_real: fun_real_real ).
tff(func_def_970,type,
vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).
tff(func_def_971,type,
vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_972,type,
vEBT_size_VEBT: fun_VEBT_VEBT_nat ).
tff(func_def_973,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
tff(func_def_974,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(func_def_975,type,
vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).
tff(func_def_976,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
tff(func_def_977,type,
vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).
tff(func_def_978,type,
vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_979,type,
vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).
tff(func_def_980,type,
vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_981,type,
vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).
tff(func_def_982,type,
vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).
tff(func_def_983,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(func_def_984,type,
vEBT_set_vebt: vEBT_VEBT > set_nat ).
tff(func_def_985,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
tff(func_def_986,type,
vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).
tff(func_def_987,type,
accp_list_nat: fun_li8598321315282354825t_bool > fun_list_nat_bool ).
tff(func_def_988,type,
accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).
tff(func_def_989,type,
aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).
tff(func_def_990,type,
aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).
tff(func_def_991,type,
aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).
tff(func_def_992,type,
aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).
tff(func_def_993,type,
aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).
tff(func_def_994,type,
aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).
tff(func_def_995,type,
aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).
tff(func_def_996,type,
aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).
tff(func_def_997,type,
aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).
tff(func_def_998,type,
aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).
tff(func_def_999,type,
aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).
tff(func_def_1000,type,
aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).
tff(func_def_1001,type,
aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).
tff(func_def_1002,type,
aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).
tff(func_def_1003,type,
aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).
tff(func_def_1004,type,
aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).
tff(func_def_1005,type,
aa_Code_natural_bool: ( fun_Co7175331531449502024l_bool * code_natural ) > bool ).
tff(func_def_1006,type,
aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).
tff(func_def_1007,type,
aa_Cod6808739660676082561atural: ( fun_Co5709460363461100952atural * code_natural ) > produc6756470014200349799atural ).
tff(func_def_1008,type,
aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).
tff(func_def_1009,type,
aa_Cod4292056611156568242atural: ( fun_Co1890133979025130057atural * code_natural ) > fun_Co5709460363461100952atural ).
tff(func_def_1010,type,
aa_Cod8811915439870959971atural: ( fun_Co9168753396221475450atural * code_natural ) > fun_Co1890133979025130057atural ).
tff(func_def_1011,type,
aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).
tff(func_def_1012,type,
aa_complex_complex: ( fun_complex_complex * complex ) > complex ).
tff(func_def_1013,type,
aa_complex_bool: ( fun_complex_bool * complex ) > bool ).
tff(func_def_1014,type,
aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).
tff(func_def_1015,type,
aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).
tff(func_def_1016,type,
aa_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_1017,type,
aa_bool_int: ( fun_bool_int * bool ) > int ).
tff(func_def_1018,type,
aa_bool_nat: ( fun_bool_nat * bool ) > nat ).
tff(func_def_1019,type,
aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).
tff(func_def_1020,type,
aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).
tff(func_def_1021,type,
aa_int_bool: ( fun_int_bool * int ) > bool ).
tff(func_def_1022,type,
aa_int_int: ( fun_int_int * int ) > int ).
tff(func_def_1023,type,
aa_int_nat: ( fun_int_nat * int ) > nat ).
tff(func_def_1024,type,
aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).
tff(func_def_1025,type,
aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).
tff(func_def_1026,type,
aa_int_rat: ( fun_int_rat * int ) > rat ).
tff(func_def_1027,type,
aa_int3865899974016033897r_bool: ( fun_in5519481650651148416r_bool * int ) > fun_Co8822979462182099027r_bool ).
tff(func_def_1028,type,
aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).
tff(func_def_1029,type,
aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).
tff(func_def_1030,type,
aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).
tff(func_def_1031,type,
aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).
tff(func_def_1032,type,
aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).
tff(func_def_1033,type,
aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).
tff(func_def_1034,type,
aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).
tff(func_def_1035,type,
aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).
tff(func_def_1036,type,
aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).
tff(func_def_1037,type,
aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).
tff(func_def_1038,type,
aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).
tff(func_def_1039,type,
aa_nat_complex: ( fun_nat_complex * nat ) > complex ).
tff(func_def_1040,type,
aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).
tff(func_def_1041,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_1042,type,
aa_nat_int: ( fun_nat_int * nat ) > int ).
tff(func_def_1043,type,
aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).
tff(func_def_1044,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_1045,type,
aa_nat_num: ( fun_nat_num * nat ) > num ).
tff(func_def_1046,type,
aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).
tff(func_def_1047,type,
aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).
tff(func_def_1048,type,
aa_nat_rat: ( fun_nat_rat * nat ) > rat ).
tff(func_def_1049,type,
aa_nat_real: ( fun_nat_real * nat ) > real ).
tff(func_def_1050,type,
aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).
tff(func_def_1051,type,
aa_nat7431386967378518541at_nat: ( fun_na3635074868517587788at_nat * nat ) > sum_sum_nat_nat ).
tff(func_def_1052,type,
aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).
tff(func_def_1053,type,
aa_nat5282697797315388251atural: ( fun_na607345901702507418atural * nat ) > fun_Co7398788559141407565atural ).
tff(func_def_1054,type,
aa_nat4473165201473010874l_bool: ( fun_na7327111457444404817l_bool * nat ) > fun_Co7175331531449502024l_bool ).
tff(func_def_1055,type,
aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).
tff(func_def_1056,type,
aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).
tff(func_def_1057,type,
aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).
tff(func_def_1058,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_1059,type,
aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).
tff(func_def_1060,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(func_def_1061,type,
aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).
tff(func_def_1062,type,
aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).
tff(func_def_1063,type,
aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).
tff(func_def_1064,type,
aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).
tff(func_def_1065,type,
aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).
tff(func_def_1066,type,
aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).
tff(func_def_1067,type,
aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).
tff(func_def_1068,type,
aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).
tff(func_def_1069,type,
aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_1070,type,
aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).
tff(func_def_1071,type,
aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).
tff(func_def_1072,type,
aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).
tff(func_def_1073,type,
aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).
tff(func_def_1074,type,
aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).
tff(func_def_1075,type,
aa_num_bool: ( fun_num_bool * num ) > bool ).
tff(func_def_1076,type,
aa_num_int: ( fun_num_int * num ) > int ).
tff(func_def_1077,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(func_def_1078,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(func_def_1079,type,
aa_num_option_num: ( fun_num_option_num * num ) > option_num ).
tff(func_def_1080,type,
aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).
tff(func_def_1081,type,
aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).
tff(func_def_1082,type,
aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).
tff(func_def_1083,type,
aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).
tff(func_def_1084,type,
aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).
tff(func_def_1085,type,
aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).
tff(func_def_1086,type,
aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).
tff(func_def_1087,type,
aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).
tff(func_def_1088,type,
aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).
tff(func_def_1089,type,
aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).
tff(func_def_1090,type,
aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).
tff(func_def_1091,type,
aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).
tff(func_def_1092,type,
aa_Pro6332413336323567195t_bool: ( fun_Pr3145601080792579042t_bool * product_prod_int_int ) > fun_rat_bool ).
tff(func_def_1093,type,
aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).
tff(func_def_1094,type,
aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).
tff(func_def_1095,type,
aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).
tff(func_def_1096,type,
aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).
tff(func_def_1097,type,
aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).
tff(func_def_1098,type,
aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).
tff(func_def_1099,type,
aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).
tff(func_def_1100,type,
aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).
tff(func_def_1101,type,
aa_rat_bool: ( fun_rat_bool * rat ) > bool ).
tff(func_def_1102,type,
aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).
tff(func_def_1103,type,
aa_rat_rat: ( fun_rat_rat * rat ) > rat ).
tff(func_def_1104,type,
aa_rat_real: ( fun_rat_real * rat ) > real ).
tff(func_def_1105,type,
aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).
tff(func_def_1106,type,
aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).
tff(func_def_1107,type,
aa_real_bool: ( fun_real_bool * real ) > bool ).
tff(func_def_1108,type,
aa_real_real: ( fun_real_real * real ) > real ).
tff(func_def_1109,type,
aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).
tff(func_def_1110,type,
aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).
tff(func_def_1111,type,
aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).
tff(func_def_1112,type,
aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).
tff(func_def_1113,type,
aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).
tff(func_def_1114,type,
aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).
tff(func_def_1115,type,
aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).
tff(func_def_1116,type,
aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).
tff(func_def_1117,type,
aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).
tff(func_def_1118,type,
aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).
tff(func_def_1119,type,
aa_char_nat: ( fun_char_nat * char ) > nat ).
tff(func_def_1120,type,
aa_Sum8073061460641146765at_nat: ( fun_Su884838341992399436at_nat * sum_sum_nat_nat ) > nat ).
tff(func_def_1121,type,
aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).
tff(func_def_1122,type,
aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).
tff(func_def_1123,type,
aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).
tff(func_def_1124,type,
aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).
tff(func_def_1125,type,
aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).
tff(func_def_1126,type,
aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).
tff(func_def_1127,type,
aa_fun7169572220525660642r_bool: ( fun_fu7344326129191042041r_bool * fun_Co8499238673658658103nteger ) > bool ).
tff(func_def_1128,type,
aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).
tff(func_def_1129,type,
aa_fun857525882259921228l_bool: ( fun_fu1032279790925302627l_bool * fun_Co7398788559141407565atural ) > bool ).
tff(func_def_1130,type,
aa_fun_int_int_bool: ( fun_fun_int_int_bool * fun_int_int ) > bool ).
tff(func_def_1131,type,
aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).
tff(func_def_1132,type,
aa_fun4674266849241344294r_bool: ( fun_fu6750301411456490045r_bool * fun_int_int ) > fun_fu7344326129191042041r_bool ).
tff(func_def_1133,type,
aa_fun3770596143487498376t_bool: ( fun_fu8467804991414204575t_bool * fun_int_int ) > fun_fun_int_int_bool ).
tff(func_def_1134,type,
aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).
tff(func_def_1135,type,
aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).
tff(func_def_1136,type,
aa_fun_nat_nat_bool: ( fun_fun_nat_nat_bool * fun_nat_nat ) > bool ).
tff(func_def_1137,type,
aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).
tff(func_def_1138,type,
aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).
tff(func_def_1139,type,
aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).
tff(func_def_1140,type,
aa_fun1838662137086867784l_bool: ( fun_fu3307002049327355231l_bool * fun_nat_nat ) > fun_fu1032279790925302627l_bool ).
tff(func_def_1141,type,
aa_fun3185460345579526648t_bool: ( fun_fu5970656269460422159t_bool * fun_nat_nat ) > fun_fun_nat_nat_bool ).
tff(func_def_1142,type,
aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).
tff(func_def_1143,type,
aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).
tff(func_def_1144,type,
aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).
tff(func_def_1145,type,
aa_fun5258240734392065441l_bool: ( fun_fu990398353789569848l_bool * fun_nat_rat ) > fun_real_bool ).
tff(func_def_1146,type,
aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).
tff(func_def_1147,type,
aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).
tff(func_def_1148,type,
aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).
tff(func_def_1149,type,
aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).
tff(func_def_1150,type,
aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).
tff(func_def_1151,type,
aa_fun1403452029515102102t_bool: ( fun_fu4802881585551670701t_bool * fun_Pr2478283820680522243nt_int ) > bool ).
tff(func_def_1152,type,
aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).
tff(func_def_1153,type,
aa_fun8298786006102058668t_bool: ( fun_fu2754956555950464963t_bool * fun_Pr2478283820680522243nt_int ) > fun_fu4802881585551670701t_bool ).
tff(func_def_1154,type,
aa_fun2103967415933125506t_bool: ( fun_fu2749353902725170073t_bool * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_bool ).
tff(func_def_1155,type,
aa_fun4519828053337421206t_bool: ( fun_fu7919257609373989805t_bool * fun_Pr2118491707810114563at_nat ) > bool ).
tff(func_def_1156,type,
aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).
tff(func_def_1157,type,
aa_fun7527181275634263258t_bool: ( fun_fu4671764723984660721t_bool * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_bool ).
tff(func_def_1158,type,
aa_fun2399787666232550060t_bool: ( fun_fu4272674133525273539t_bool * fun_Pr2118491707810114563at_nat ) > fun_fu7919257609373989805t_bool ).
tff(func_def_1159,type,
aa_fun_rat_rat_bool: ( fun_fun_rat_rat_bool * fun_rat_rat ) > bool ).
tff(func_def_1160,type,
aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).
tff(func_def_1161,type,
aa_fun9137951878280015556l_bool: ( fun_fu7307090382573344987l_bool * fun_real_real ) > bool ).
tff(func_def_1162,type,
aa_fun9137271176455094897l_bool: ( fun_fu7376312551830202376l_bool * fun_real_real ) > fun_real_bool ).
tff(func_def_1163,type,
aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).
tff(func_def_1164,type,
aa_fun7221085148252759141l_bool: ( fun_fu8602805464270671924l_bool * fun_fun_nat_rat_bool ) > fun_fu7511176317168184086l_bool ).
tff(func_def_1165,type,
aa_fun1696419067750587730t_bool: ( fun_fu8308374331699588969t_bool * fun_fu8328862064278946247at_rat ) > bool ).
tff(func_def_1166,type,
aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).
tff(func_def_1167,type,
aa_fun9159459243913713430l_bool: ( fun_fu762719556336274221l_bool * fun_fu8328862064278946247at_rat ) > fun_fu7307090382573344987l_bool ).
tff(func_def_1168,type,
aa_fun4901480949278917796t_bool: ( fun_fu4669108322068655547t_bool * fun_fu8328862064278946247at_rat ) > fun_fu8308374331699588969t_bool ).
tff(func_def_1169,type,
fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).
tff(func_def_1170,type,
fEx_nat: fun_fu7168253649841883962l_bool ).
tff(func_def_1171,type,
fFalse: bool ).
tff(func_def_1172,type,
fNot: fun_bool_bool ).
tff(func_def_1173,type,
fTrue: bool ).
tff(func_def_1174,type,
fconj: bool > fun_bool_bool ).
tff(func_def_1175,type,
fdisj: bool > fun_bool_bool ).
tff(func_def_1176,type,
fequal_Code_integer: fun_Co8310303586393106575r_bool ).
tff(func_def_1177,type,
fequal_complex: complex > fun_complex_bool ).
tff(func_def_1178,type,
fequal_Extended_enat: ( extended_enat * extended_enat ) > bool ).
tff(func_def_1179,type,
fequal_bool: fun_bo1841576699660343469l_bool ).
tff(func_def_1180,type,
fequal_int: fun_int_fun_int_bool ).
tff(func_def_1181,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_1182,type,
fequal_num: fun_num_fun_num_bool ).
tff(func_def_1183,type,
fequal_rat: fun_rat_fun_rat_bool ).
tff(func_def_1184,type,
fequal_real: fun_re1255401033344146673l_bool ).
tff(func_def_1185,type,
fimplies: fun_bo1841576699660343469l_bool ).
tff(func_def_1186,type,
member_nat: nat > fun_set_nat_bool ).
tff(func_def_1187,type,
member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).
tff(func_def_1188,type,
va: nat ).
tff(func_def_1189,type,
y: nat ).
tff(func_def_1190,type,
sK19: ( nat * nat ) > nat ).
tff(func_def_1191,type,
sK20: nat > nat ).
tff(func_def_1192,type,
sK21: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1193,type,
sK22: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1194,type,
sK23: nat > nat ).
tff(func_def_1195,type,
sK24: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1196,type,
sK25: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1197,type,
sK26: ( nat * nat ) > nat ).
tff(func_def_1198,type,
sK27: ( nat * nat ) > nat ).
tff(func_def_1199,type,
sK28: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1200,type,
sK29: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1201,type,
sK30: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1202,type,
sK31: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1203,type,
sK32: ( nat * nat ) > nat ).
tff(func_def_1204,type,
sK33: fun_nat_fun_nat_bool > nat ).
tff(func_def_1205,type,
sK34: fun_nat_fun_nat_bool > nat ).
tff(func_def_1206,type,
sK35: fun_nat_fun_nat_bool > nat ).
tff(func_def_1207,type,
sK36: fun_nat_fun_nat_bool > nat ).
tff(func_def_1208,type,
sK37: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1209,type,
sK38: ( nat * fun_nat_bool ) > nat ).
tff(func_def_1210,type,
sK39: fun_nat_nat > nat ).
tff(func_def_1211,type,
sK40: fun_nat_nat > nat ).
tff(func_def_1212,type,
sK41: fun_nat_bool > nat ).
tff(func_def_1213,type,
sK42: nat > nat ).
tff(func_def_1214,type,
sK43: fun_nat_bool > nat ).
tff(func_def_1215,type,
sK44: fun_nat_fun_nat_bool > nat ).
tff(func_def_1216,type,
sK45: fun_nat_fun_nat_bool > nat ).
tff(func_def_1217,type,
sK46: fun_nat_fun_nat_bool > nat ).
tff(func_def_1218,type,
sK47: fun_nat_fun_nat_bool > nat ).
tff(func_def_1219,type,
sK48: fun_nat_bool > nat ).
tff(func_def_1220,type,
sK49: nat > nat ).
tff(func_def_1221,type,
sK50: nat > nat ).
tff(func_def_1222,type,
sK51: nat > nat ).
tff(func_def_1223,type,
sK52: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1224,type,
sK53: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1225,type,
sK54: ( fun_nat_bool * nat * nat ) > nat ).
tff(func_def_1226,type,
sK55: ( nat * nat ) > nat ).
tff(func_def_1227,type,
sK56: ( nat * bool * vEBT_VEBT ) > bool ).
tff(func_def_1228,type,
sK57: ( nat * bool * vEBT_VEBT ) > bool ).
tff(func_def_1229,type,
sK58: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1230,type,
sK59: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1231,type,
sK60: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1232,type,
sK61: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1233,type,
sK62: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1234,type,
sK63: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1235,type,
sK64: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1236,type,
sK65: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1237,type,
sK66: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1238,type,
sK67: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1239,type,
sK68: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1240,type,
sK69: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1241,type,
sK70: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).
tff(func_def_1242,type,
sK71: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).
tff(func_def_1243,type,
sK72: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1244,type,
sK73: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1245,type,
sK74: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1246,type,
sK75: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1247,type,
sK76: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1248,type,
sK77: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1249,type,
sK78: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1250,type,
sK79: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1251,type,
sK80: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1252,type,
sK81: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1253,type,
sK82: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1254,type,
sK83: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1255,type,
sK84: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1256,type,
sK85: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1257,type,
sK86: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1258,type,
sK87: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1259,type,
sK88: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1260,type,
sK89: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1261,type,
sK90: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1262,type,
sK91: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1263,type,
sK92: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1264,type,
sK93: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1265,type,
sK94: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1266,type,
sK95: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1267,type,
sK96: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1268,type,
sK97: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1269,type,
sK98: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_1270,type,
sK99: ( vEBT_VEBT * nat ) > bool ).
tff(func_def_1271,type,
sK100: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1272,type,
sK101: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1273,type,
sK102: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1274,type,
sK103: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1275,type,
sK104: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1276,type,
sK105: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1277,type,
sK106: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1278,type,
sK107: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1279,type,
sK108: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1280,type,
sK109: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1281,type,
sK110: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1282,type,
sK111: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1283,type,
sK112: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1284,type,
sK113: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_1285,type,
sK114: vEBT_VEBT > bool ).
tff(func_def_1286,type,
sK115: vEBT_VEBT > bool ).
tff(func_def_1287,type,
sK116: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1288,type,
sK117: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1289,type,
sK118: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1290,type,
sK119: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1291,type,
sK120: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1292,type,
sK121: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1293,type,
sK122: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1294,type,
sK123: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1295,type,
sK124: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1296,type,
sK125: ( nat * bool * vEBT_VEBT ) > nat ).
tff(func_def_1297,type,
sK126: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1298,type,
sK127: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1299,type,
sK128: vEBT_VEBT > list_VEBT_VEBT ).
tff(func_def_1300,type,
sK129: vEBT_VEBT > vEBT_VEBT ).
tff(func_def_1301,type,
sK130: vEBT_VEBT > bool ).
tff(func_def_1302,type,
sK131: vEBT_VEBT > bool ).
tff(func_def_1303,type,
sK132: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1304,type,
sK133: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1305,type,
sK134: ( nat * vEBT_VEBT ) > nat ).
tff(func_def_1306,type,
sK135: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(func_def_1307,type,
sK136: ( nat * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1308,type,
sK137: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1309,type,
sK138: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1310,type,
sK139: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1311,type,
sK140: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1312,type,
sK141: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1313,type,
sK142: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).
tff(func_def_1314,type,
sK143: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1315,type,
sK144: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1316,type,
sK145: ( vEBT_VEBT * nat ) > nat ).
tff(pred_def_1,type,
bNF_re9130850084932126070nteger: ( fun_in5519481650651148416r_bool * fun_fu6750301411456490045r_bool * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).
tff(pred_def_2,type,
bNF_re5717476210804479843nt_int: ( fun_int_fun_int_bool * fun_fu8467804991414204575t_bool * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).
tff(pred_def_3,type,
bNF_re4808202430149235895nt_int: ( fun_int_fun_int_bool * fun_fu2194082084716825453t_bool * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).
tff(pred_def_4,type,
bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_bool * fun_fu8159772421396582028t_bool * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).
tff(pred_def_5,type,
bNF_re5252274238750452962nteger: ( fun_na7327111457444404817l_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_Co2940338738630218498nteger ) > $o ).
tff(pred_def_6,type,
bNF_re1400205106991740995atural: ( fun_na7327111457444404817l_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).
tff(pred_def_7,type,
bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_bool * fun_in5519481650651148416r_bool * fun_nat_int * fun_nat_Code_integer ) > $o ).
tff(pred_def_8,type,
bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_bool * fun_int_fun_int_bool * fun_nat_int * fun_nat_int ) > $o ).
tff(pred_def_9,type,
bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).
tff(pred_def_10,type,
bNF_re4578097776928471693nteger: ( fun_nat_fun_nat_bool * fun_fu6750301411456490045r_bool * fun_nat_fun_int_int * fun_na7078387940644931716nteger ) > $o ).
tff(pred_def_11,type,
bNF_re5651586111134833323nt_int: ( fun_nat_fun_nat_bool * fun_fu8467804991414204575t_bool * fun_nat_fun_int_int * fun_nat_fun_int_int ) > $o ).
tff(pred_def_12,type,
bNF_re728283343719287275atural: ( fun_nat_fun_nat_bool * fun_fu3307002049327355231l_bool * fun_nat_fun_nat_nat * fun_na607345901702507418atural ) > $o ).
tff(pred_def_13,type,
bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_bool * fun_fu5970656269460422159t_bool * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).
tff(pred_def_14,type,
bNF_re4520166952630509772nteger: ( fun_num_fun_num_bool * fun_fu8172925815900240338r_bool * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).
tff(pred_def_15,type,
bNF_re6378542964492772123um_int: ( fun_num_fun_num_bool * fun_fu9051297857939674819t_bool * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).
tff(pred_def_16,type,
bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).
tff(pred_def_17,type,
bNF_re4734134812813710757nt_int: ( fun_Pr3099820731930151597t_bool * fun_fu2754956555950464963t_bool * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).
tff(pred_def_18,type,
bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).
tff(pred_def_19,type,
bNF_re6323452265856231590at_rat: ( fun_Pr3145601080792579042t_bool * fun_fu2749353902725170073t_bool * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).
tff(pred_def_20,type,
bNF_re4555766996558763186at_nat: ( fun_Pr5932607294251420486t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).
tff(pred_def_21,type,
bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).
tff(pred_def_22,type,
bNF_re8869769828555196650nt_int: ( fun_Pr5932607294251420486t_bool * fun_fu4671764723984660721t_bool * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).
tff(pred_def_23,type,
bNF_re8246922863344978751at_nat: ( fun_Pr248683899324676269t_bool * fun_nat_fun_nat_bool * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).
tff(pred_def_24,type,
bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).
tff(pred_def_25,type,
bNF_re6214786843070381989at_nat: ( fun_Pr248683899324676269t_bool * fun_fu4272674133525273539t_bool * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).
tff(pred_def_26,type,
bNF_re8935275315890131625l_bool: ( fun_fu990398353789569848l_bool * fun_fu8602805464270671924l_bool * fun_fu2636726645394866687t_bool * fun_re1255401033344146673l_bool ) > $o ).
tff(pred_def_27,type,
bNF_re1162444993429354318l_real: ( fun_fu990398353789569848l_bool * fun_fu762719556336274221l_bool * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).
tff(pred_def_28,type,
bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).
tff(pred_def_29,type,
bNF_re769765379126235449at_rat: ( fun_fu2636726645394866687t_bool * fun_fu4669108322068655547t_bool * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).
tff(pred_def_30,type,
boolea2445317508997433345nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger * code_integer * code_integer * fun_Co1981900195452921617nteger ) > $o ).
tff(pred_def_31,type,
boolea8527374999097803216ff_int: ( fun_int_fun_int_int * fun_int_fun_int_int * fun_int_int * int * int * fun_int_fun_int_int ) > $o ).
tff(pred_def_32,type,
differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).
tff(pred_def_33,type,
has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).
tff(pred_def_34,type,
has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).
tff(pred_def_35,type,
has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).
tff(pred_def_36,type,
eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).
tff(pred_def_37,type,
eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).
tff(pred_def_38,type,
eventually_real: ( fun_real_bool * filter_real ) > $o ).
tff(pred_def_39,type,
filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).
tff(pred_def_40,type,
filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).
tff(pred_def_41,type,
filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).
tff(pred_def_42,type,
filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).
tff(pred_def_43,type,
finite3207457112153483333omplex: set_complex > $o ).
tff(pred_def_44,type,
finite_finite_int: set_int > $o ).
tff(pred_def_45,type,
bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).
tff(pred_def_46,type,
bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).
tff(pred_def_47,type,
bij_betw_nat_int: ( fun_nat_int * set_nat * set_int ) > $o ).
tff(pred_def_48,type,
bij_be6293887246118711976st_nat: ( fun_nat_list_nat * set_nat * set_list_nat ) > $o ).
tff(pred_def_49,type,
bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat * set_Pr1261947904930325089at_nat ) > $o ).
tff(pred_def_50,type,
bij_be4790990086886966983at_nat: ( fun_na3635074868517587788at_nat * set_nat * set_Sum_sum_nat_nat ) > $o ).
tff(pred_def_51,type,
inj_on_int_nat: ( fun_int_nat * set_int ) > $o ).
tff(pred_def_52,type,
inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).
tff(pred_def_53,type,
inj_on2178005380612969504at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > $o ).
tff(pred_def_54,type,
inj_on_real_real: ( fun_real_real * set_real ) > $o ).
tff(pred_def_55,type,
inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).
tff(pred_def_56,type,
inj_on6343450744447823682at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > $o ).
tff(pred_def_57,type,
fun_is_measure_int: fun_int_nat > $o ).
tff(pred_def_58,type,
semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_59,type,
semila1248733672344298208er_nat: ( fun_nat_fun_nat_nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).
tff(pred_def_60,type,
quotie1194848508323700631at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr5932607294251420486t_bool ) > $o ).
tff(pred_def_61,type,
quotie6870213296501934825t_real: ( fun_fu2636726645394866687t_bool * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu990398353789569848l_bool ) > $o ).
tff(pred_def_62,type,
bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).
tff(pred_def_63,type,
case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool * option4927543243414619207at_nat ) > $o ).
tff(pred_def_64,type,
ord_le5570908160329646204atural: ( code_natural * code_natural ) > $o ).
tff(pred_def_65,type,
ord_le72135733267957522d_enat: ( extended_enat * extended_enat ) > $o ).
tff(pred_def_66,type,
ord_le1926595141338095240atural: ( code_natural * code_natural ) > $o ).
tff(pred_def_67,type,
ord_le2932123472753598470d_enat: ( extended_enat * extended_enat ) > $o ).
tff(pred_def_68,type,
ord_less_eq_set_real: ( set_real * set_real ) > $o ).
tff(pred_def_69,type,
order_mono_nat_nat: fun_nat_nat > $o ).
tff(pred_def_70,type,
order_mono_real_real: fun_real_real > $o ).
tff(pred_def_71,type,
order_5726023648592871131at_nat: fun_nat_nat > $o ).
tff(pred_def_72,type,
quotie6776551016481293500at_int: ( fun_Pr248683899324676269t_bool * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat ) > $o ).
tff(pred_def_73,type,
quotie8981163687542601860t_real: ( fun_fu2636726645394866687t_bool * fun_fun_nat_rat_real * fun_real_fun_nat_rat ) > $o ).
tff(pred_def_74,type,
cauchy: fun_nat_rat > $o ).
tff(pred_def_75,type,
real_V5970128139526366754l_real: fun_real_real > $o ).
tff(pred_def_76,type,
real_V4572627801940501177l_real: fun_real_real > $o ).
tff(pred_def_77,type,
transp_fun_nat_rat: fun_fu2636726645394866687t_bool > $o ).
tff(pred_def_78,type,
summable_real: fun_nat_real > $o ).
tff(pred_def_79,type,
topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).
tff(pred_def_80,type,
topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).
tff(pred_def_81,type,
topolo6980174941875973593q_real: fun_nat_real > $o ).
tff(pred_def_82,type,
topolo7531315842566124627t_real: fun_nat_real > $o ).
tff(pred_def_83,type,
topolo6517432010174082258omplex: fun_nat_complex > $o ).
tff(pred_def_84,type,
topolo4055970368930404560y_real: fun_nat_real > $o ).
tff(pred_def_85,type,
accp_P8126237942716283194atural: ( fun_Pr4637083014979798189l_bool * produc7822875418678951345atural ) > $o ).
tff(pred_def_86,type,
accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).
tff(pred_def_87,type,
accp_P4275260045618599050at_nat: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > $o ).
tff(pred_def_88,type,
accp_P3113834385874906142um_num: ( fun_Pr5837708615769641901m_bool * product_prod_num_num ) > $o ).
tff(pred_def_89,type,
accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).
tff(pred_def_90,type,
member_Code_integer: ( code_integer * set_Code_integer ) > $o ).
tff(pred_def_91,type,
member_complex: ( complex * set_complex ) > $o ).
tff(pred_def_92,type,
member_bool: ( bool * set_bool ) > $o ).
tff(pred_def_93,type,
member_int: ( int * set_int ) > $o ).
tff(pred_def_94,type,
member_list_nat: ( list_nat * set_list_nat ) > $o ).
tff(pred_def_95,type,
member_rat: ( rat * set_rat ) > $o ).
tff(pred_def_96,type,
member_real: ( real * set_real ) > $o ).
tff(pred_def_97,type,
member_set_nat: ( set_nat * set_set_nat ) > $o ).
tff(pred_def_98,type,
pp: bool > $o ).
tff(pred_def_99,type,
sP0: ( fun_nat_bool * nat * nat ) > $o ).
tff(pred_def_100,type,
sP1: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_101,type,
sP2: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_102,type,
sP3: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_103,type,
sP4: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_104,type,
sP5: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_105,type,
sP6: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_106,type,
sP7: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_107,type,
sP8: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_108,type,
sP9: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_109,type,
sP10: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_110,type,
sP11: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_111,type,
sP12: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_112,type,
sP13: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_113,type,
sP14: ( nat * bool * vEBT_VEBT ) > $o ).
tff(pred_def_114,type,
sP15: ( nat * vEBT_VEBT ) > $o ).
tff(pred_def_115,type,
sP16: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_116,type,
sP17: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_117,type,
sP18: ( vEBT_VEBT * nat ) > $o ).
tff(f1,axiom,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_True) ).
tff(f2,axiom,
! [X0: nat,X1: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))))
=> ( ( X0 = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) )
=> ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C3_OIH_C_I1_J) ).
tff(f5,axiom,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,X0))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_div2__Suc__Suc) ).
tff(f183,axiom,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_numeral__2__eq__2) ).
tff(f10453,conjecture,
~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f10454,negated_conjecture,
~ ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(negated_conjecture,[status(cth)],[f10453]) ).
tff(f10455,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(flattening,[],[f10454]) ).
tff(f10640,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f10641,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(flattening,[],[f10640]) ).
tff(f10847,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(cnf_transformation,[],[f10455]) ).
tff(f10927,plain,
aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
inference(cnf_transformation,[],[f183]) ).
tff(f11122,plain,
! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,X0))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,X0),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))) ),
inference(cnf_transformation,[],[f5]) ).
tff(f11244,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(cnf_transformation,[],[f10641]) ).
tff(f11267,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
inference(cnf_transformation,[],[f1]) ).
tff(f11313,plain,
! [X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),X1))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(equality_resolution,[],[f11244]) ).
tff(f11350,plain,
! [X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),X1)),
inference(forward_subsumption_resolution,[],[f11313,f11267]) ).
tff(f11367,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),y)),
inference(forward_demodulation,[],[f10847,f11122]) ).
tff(f11368,plain,
! [X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),X1)),
inference(forward_demodulation,[],[f11350,f11122]) ).
tff(f11380,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))),y)),
inference(forward_demodulation,[],[f11367,f10927]) ).
tff(f11381,plain,
! [X1: nat] : ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(suc,aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,va),aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)))))),X1)),
inference(forward_demodulation,[],[f11368,f10927]) ).
tff(f12585,plain,
$false,
inference(resolution,[],[f11381,f11380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP220_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 12:26:34 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.54/2.27 % (3020279)Detected formulas, will run a generic FOF schedule.
% 5.54/2.27 % (3020288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=103887884:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 5.54/2.27 % (3020285)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1665413289:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 5.54/2.27 % (3020284)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3965046343:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 5.54/2.27 % (3020286)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2281422236:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 5.54/2.27 % (3020287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=260485295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 5.54/2.27 % (3020289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=150029606:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 5.54/2.27 % (3020290)dis-21_1_sil=8000:lcm=predicate:random_seed=3968223308:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 5.54/2.27 % (3020288)Instruction limit reached!
% 5.54/2.27 % (3020288)------------------------------
% 5.54/2.27 % (3020288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020288)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020288)Termination reason: Instruction limit
% 5.54/2.27 % (3020288)Termination phase: Preprocessing 3
% 5.54/2.27 % (3020288)Time elapsed: 0.051 s
% 5.54/2.27 % (3020288)Peak memory usage: 96 MB
% 5.54/2.27 % (3020288)Instructions burned: 121 (million)
% 5.54/2.27 % (3020289)Instruction limit reached!
% 5.54/2.27 % (3020289)------------------------------
% 5.54/2.27 % (3020289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020289)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020289)Termination reason: Instruction limit
% 5.54/2.27 % (3020289)Termination phase: Property scanning
% 5.54/2.27 % (3020289)Time elapsed: 0.055 s
% 5.54/2.27 % (3020289)Peak memory usage: 93 MB
% 5.54/2.27 % (3020289)Instructions burned: 139 (million)
% 5.54/2.27 % (3020287)Instruction limit reached!
% 5.54/2.27 % (3020287)------------------------------
% 5.54/2.27 % (3020287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020287)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020287)Termination reason: Instruction limit
% 5.54/2.27 % (3020287)Termination phase: Saturation
% 5.54/2.27 % (3020287)Time elapsed: 0.067 s
% 5.54/2.27 % (3020287)Peak memory usage: 98 MB
% 5.54/2.27 % (3020287)Instructions burned: 109 (million)
% 5.54/2.27 % (3020290)Instruction limit reached!
% 5.54/2.27 % (3020290)------------------------------
% 5.54/2.27 % (3020290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020290)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020290)Termination reason: Instruction limit
% 5.54/2.27 % (3020290)Termination phase: Preprocessing 2
% 5.54/2.27 % (3020290)Time elapsed: 0.091 s
% 5.54/2.27 % (3020290)Peak memory usage: 96 MB
% 5.54/2.27 % (3020290)Instructions burned: 129 (million)
% 5.54/2.27 % (3020298)lrs+10_1_sil=8000:sp=occurrence:random_seed=1198990874:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 5.54/2.27 % (3020298)Instruction limit reached!
% 5.54/2.27 % (3020298)------------------------------
% 5.54/2.27 % (3020298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020298)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020298)Termination reason: Instruction limit
% 5.54/2.27 % (3020298)Termination phase: Saturation
% 5.54/2.27 % (3020298)Time elapsed: 0.084 s
% 5.54/2.27 % (3020298)Peak memory usage: 99 MB
% 5.54/2.27 % (3020298)Instructions burned: 288 (million)
% 5.54/2.27 % (3020299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2644574634:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 5.54/2.27 % (3020300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3612495233:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 5.54/2.27 % (3020302)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1992710153:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 5.54/2.27 % (3020299)Instruction limit reached!
% 5.54/2.27 % (3020299)------------------------------
% 5.54/2.27 % (3020299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020299)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020299)Termination reason: Instruction limit
% 5.54/2.27 % (3020299)Termination phase: Property scanning
% 5.54/2.27 % (3020299)Time elapsed: 0.062 s
% 5.54/2.27 % (3020299)Peak memory usage: 93 MB
% 5.54/2.27 % (3020299)Instructions burned: 157 (million)
% 5.54/2.27 % (3020303)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3279021980:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 5.54/2.27 % (3020300)First to succeed.
% 5.54/2.27 % (3020300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3020279"
% 5.54/2.27 % (3020302)Instruction limit reached!
% 5.54/2.27 % (3020302)------------------------------
% 5.54/2.27 % (3020302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020302)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020302)Termination reason: Instruction limit
% 5.54/2.27 % (3020302)Termination phase: SInE selection
% 5.54/2.27 % (3020302)Time elapsed: 0.106 s
% 5.54/2.27 % (3020302)Peak memory usage: 94 MB
% 5.54/2.27 % (3020302)Instructions burned: 248 (million)
% 5.54/2.27 % (3020303)Instruction limit reached!
% 5.54/2.27 % (3020303)------------------------------
% 5.54/2.27 % (3020303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020303)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020303)Termination reason: Instruction limit
% 5.54/2.27 % (3020303)Termination phase: Property scanning
% 5.54/2.27 % (3020303)Time elapsed: 0.100 s
% 5.54/2.27 % (3020303)Peak memory usage: 100 MB
% 5.54/2.27 % (3020303)Instructions burned: 299 (million)
% 5.54/2.27 % (3020307)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1644376290:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 5.54/2.27 % (3020309)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3677395178:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 5.54/2.27 % (3020310)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1906740559:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 5.54/2.27 % (3020310)Instruction limit reached!
% 5.54/2.27 % (3020310)------------------------------
% 5.54/2.27 % (3020310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020310)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020310)Termination reason: Instruction limit
% 5.54/2.27 % (3020310)Termination phase: Preprocessing 3
% 5.54/2.27 % (3020310)Time elapsed: 0.046 s
% 5.54/2.27 % (3020310)Peak memory usage: 98 MB
% 5.54/2.27 % (3020310)Instructions burned: 127 (million)
% 5.54/2.27 % (3020309)Instruction limit reached!
% 5.54/2.27 % (3020309)------------------------------
% 5.54/2.27 % (3020309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.27 % (3020309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.27 % (3020309)CaDiCaL version: 2.1.3
% 5.54/2.27 % (3020309)Termination reason: Instruction limit
% 5.54/2.27 % (3020309)Termination phase: Unused predicate definition removal
% 5.54/2.27 % (3020309)Time elapsed: 0.077 s
% 5.54/2.27 % (3020309)Peak memory usage: 94 MB
% 5.54/2.27 % (3020309)Instructions burned: 114 (million)
% 5.54/2.27 % (3020300)Refutation found. Thanks to Tanya!
% 5.54/2.27 % SZS status Theorem for theBenchmark
% 5.54/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 6.51/2.47 % (3020300)------------------------------
% 6.51/2.47 % (3020300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/2.47 % (3020300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/2.47 % (3020300)CaDiCaL version: 2.1.3
% 6.51/2.47 % (3020300)Termination reason: Refutation
% 6.51/2.47 % (3020300)Time elapsed: 0.122 s
% 6.51/2.47 % (3020300)Peak memory usage: 99 MB
% 6.51/2.47 % (3020300)Instructions burned: 183 (million)
% 6.51/2.47 % (3020300)------------------------------
% 6.51/2.47 % (3020300)------------------------------
% 6.51/2.47 % (3020279)Success in time 1.401 s
% 6.51/2.47 % Vampire exiting
%------------------------------------------------------------------------------