%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP208_2 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:30:03 AM UTC 2026
% Result : Theorem 2.67s 2.79s
% Output : Refutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 143 ( 54 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 151 ( 69 ~; 65 |; 0 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 257 ( 255 usr; 6 prp; 0-7 aty)
% Number of functors : 1043 (1043 usr; 80 con; 0-8 aty)
% Number of variables : 153 ( 0 sgn 153 !; 0 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tuple_isomorphism: ( $tType * $tType * $tType ) > $tType ).
tff(type_def_6,type,
heap_Time_Heap: $tType > $tType ).
tff(type_def_7,type,
code_natural: $tType ).
tff(type_def_8,type,
code_integer: $tType ).
tff(type_def_9,type,
heap_ext: $tType > $tType ).
tff(type_def_10,type,
product_unit: $tType ).
tff(type_def_11,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(type_def_12,type,
old_node: ( $tType * $tType ) > $tType ).
tff(type_def_13,type,
fun_box: ( $tType * $tType ) > $tType ).
tff(type_def_14,type,
typerep: $tType ).
tff(type_def_15,type,
literal: $tType ).
tff(type_def_16,type,
sum_sum: ( $tType * $tType ) > $tType ).
tff(type_def_17,type,
option: $tType > $tType ).
tff(type_def_18,type,
word: $tType > $tType ).
tff(type_def_19,type,
char: $tType ).
tff(type_def_20,type,
array: $tType > $tType ).
tff(type_def_21,type,
list: $tType > $tType ).
tff(type_def_22,type,
bool: $tType ).
tff(type_def_23,type,
set: $tType > $tType ).
tff(type_def_24,type,
rat: $tType ).
tff(type_def_25,type,
num: $tType ).
tff(type_def_26,type,
nat: $tType ).
tff(type_def_27,type,
int: $tType ).
tff(type_def_28,type,
itself: $tType > $tType ).
tff(type_def_29,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_30,type,
a: $tType ).
tff(func_def_0,type,
aTP_Lamp_a:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_1,type,
aTP_Lamp_aa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_2,type,
aTP_Lamp_ab:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_3,type,
aTP_Lamp_ac:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_4,type,
aTP_Lamp_ad:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_5,type,
aTP_Lamp_ae:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_6,type,
aTP_Lamp_af:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_7,type,
aTP_Lamp_ag:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_8,type,
aTP_Lamp_ah:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_9,type,
aTP_Lamp_ai:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_10,type,
aTP_Lamp_aj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_11,type,
aTP_Lamp_ak:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_12,type,
aTP_Lamp_al:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_13,type,
aTP_Lamp_am:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_14,type,
aTP_Lamp_an:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_15,type,
aTP_Lamp_ao:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_16,type,
aTP_Lamp_ap:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_17,type,
aTP_Lamp_aq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_18,type,
aTP_Lamp_ar:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_19,type,
aTP_Lamp_as:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_20,type,
aTP_Lamp_at:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_21,type,
aTP_Lamp_au:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_22,type,
aTP_Lamp_av:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_23,type,
aTP_Lamp_aw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_24,type,
aTP_Lamp_ax:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_25,type,
aTP_Lamp_ay:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_26,type,
aTP_Lamp_az:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_27,type,
aTP_Lamp_ba:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_28,type,
aTP_Lamp_bb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_29,type,
aTP_Lamp_bc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_30,type,
aTP_Lamp_bd:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_31,type,
aTP_Lamp_be:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_32,type,
aTP_Lamp_bf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_33,type,
aTP_Lamp_bg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_34,type,
aTP_Lamp_bh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_35,type,
aTP_Lamp_bi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_36,type,
aTP_Lamp_bj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_37,type,
aTP_Lamp_bk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_38,type,
aTP_Lamp_bl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_39,type,
aTP_Lamp_bm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_40,type,
aTP_Lamp_bn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_41,type,
aTP_Lamp_bo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_42,type,
aTP_Lamp_bp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_43,type,
aTP_Lamp_bq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_44,type,
aTP_Lamp_br:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_45,type,
aTP_Lamp_bs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_46,type,
aTP_Lamp_bt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_47,type,
aTP_Lamp_bu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_48,type,
aTP_Lamp_bv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_49,type,
aTP_Lamp_bw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_50,type,
aTP_Lamp_bx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_51,type,
aTP_Lamp_by:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_52,type,
aTP_Lamp_bz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_53,type,
aTP_Lamp_ca:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_54,type,
aTP_Lamp_cb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_55,type,
aTP_Lamp_cc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_56,type,
aTP_Lamp_cd:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_57,type,
aTP_Lamp_ce:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_58,type,
aTP_Lamp_cf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_59,type,
aTP_Lamp_cg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_60,type,
aTP_Lamp_ch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_61,type,
aTP_Lamp_ci:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_62,type,
aTP_Lamp_cj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_63,type,
aTP_Lamp_ck:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_64,type,
aTP_Lamp_cl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_65,type,
aTP_Lamp_cm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_66,type,
aTP_Lamp_cn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_67,type,
aTP_Lamp_co:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_68,type,
aTP_Lamp_cp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_69,type,
aTP_Lamp_cq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_70,type,
aTP_Lamp_cr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_71,type,
aTP_Lamp_cs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_72,type,
aTP_Lamp_ct:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_73,type,
aTP_Lamp_cu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_74,type,
aTP_Lamp_cv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_75,type,
aTP_Lamp_cw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_76,type,
aTP_Lamp_cx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_77,type,
aTP_Lamp_cy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_78,type,
aTP_Lamp_cz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_79,type,
aTP_Lamp_da:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_80,type,
aTP_Lamp_db:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_81,type,
aTP_Lamp_dc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_82,type,
aTP_Lamp_dd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_83,type,
aTP_Lamp_de:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_84,type,
aTP_Lamp_df:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_85,type,
aTP_Lamp_dg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_86,type,
aTP_Lamp_dh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_87,type,
aTP_Lamp_di:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_88,type,
aTP_Lamp_dj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_89,type,
aTP_Lamp_dk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_90,type,
aTP_Lamp_dl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_91,type,
aTP_Lamp_dm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_92,type,
aTP_Lamp_dn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_93,type,
aTP_Lamp_do:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_94,type,
aTP_Lamp_dp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_95,type,
aTP_Lamp_dq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_96,type,
aTP_Lamp_dr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_97,type,
aTP_Lamp_ds:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_98,type,
aTP_Lamp_dt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_99,type,
aTP_Lamp_du:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_100,type,
aTP_Lamp_dv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_101,type,
aTP_Lamp_dw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_102,type,
aTP_Lamp_dx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_103,type,
aTP_Lamp_dy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_104,type,
aTP_Lamp_dz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_105,type,
aTP_Lamp_ea:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_106,type,
aTP_Lamp_eb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_107,type,
aTP_Lamp_ec:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_108,type,
aTP_Lamp_ed:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_109,type,
aTP_Lamp_ee:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_110,type,
aTP_Lamp_ef:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_111,type,
aTP_Lamp_eg:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_112,type,
aTP_Lamp_eh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_113,type,
aTP_Lamp_ei:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_114,type,
aTP_Lamp_ej:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_115,type,
aTP_Lamp_ek:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_116,type,
aTP_Lamp_el:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_117,type,
aTP_Lamp_em:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_118,type,
aTP_Lamp_en:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_119,type,
aTP_Lamp_eo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_120,type,
aTP_Lamp_ep:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_121,type,
aTP_Lamp_eq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_122,type,
aTP_Lamp_er:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_123,type,
aTP_Lamp_es:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_124,type,
aTP_Lamp_et:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_125,type,
aTP_Lamp_eu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_126,type,
aTP_Lamp_ev:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_127,type,
aTP_Lamp_ew:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_128,type,
aTP_Lamp_ex:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_129,type,
aTP_Lamp_ey:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_130,type,
aTP_Lamp_ez:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_131,type,
aTP_Lamp_fa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_132,type,
aTP_Lamp_fb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_133,type,
aTP_Lamp_fc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_134,type,
aTP_Lamp_fd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_135,type,
aTP_Lamp_fe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_136,type,
aTP_Lamp_ff:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_137,type,
aTP_Lamp_fg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_138,type,
aTP_Lamp_fh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_139,type,
aTP_Lamp_fi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_140,type,
aTP_Lamp_fj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_141,type,
aTP_Lamp_fk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_142,type,
aTP_Lamp_fl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_143,type,
aTP_Lamp_fm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_144,type,
aTP_Lamp_fn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_145,type,
aTP_Lamp_fo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_146,type,
aTP_Lamp_fp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_147,type,
aTP_Lamp_fq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_148,type,
aTP_Lamp_fr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_149,type,
aTP_Lamp_fs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_150,type,
aTP_Lamp_ft:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_151,type,
aTP_Lamp_fu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_152,type,
aTP_Lamp_fv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_153,type,
aTP_Lamp_fw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_154,type,
aTP_Lamp_fx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_155,type,
aTP_Lamp_fy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_156,type,
aTP_Lamp_fz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_157,type,
aTP_Lamp_ga:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_158,type,
aTP_Lamp_gb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_159,type,
aTP_Lamp_gc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_160,type,
aTP_Lamp_gd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_161,type,
aTP_Lamp_ge:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_162,type,
aTP_Lamp_gf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_163,type,
aTP_Lamp_gg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_164,type,
aTP_Lamp_gh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_165,type,
aTP_Lamp_gi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_166,type,
aTP_Lamp_gj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_167,type,
aTP_Lamp_gk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_168,type,
aTP_Lamp_gl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_169,type,
aTP_Lamp_gm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_170,type,
aTP_Lamp_gn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_171,type,
aTP_Lamp_go:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_172,type,
aTP_Lamp_gp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_173,type,
aTP_Lamp_gq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_174,type,
aTP_Lamp_gr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_175,type,
aTP_Lamp_gs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_176,type,
aTP_Lamp_gt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_177,type,
aTP_Lamp_gu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_178,type,
aTP_Lamp_gv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_179,type,
aTP_Lamp_gw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_180,type,
aTP_Lamp_gx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_181,type,
aTP_Lamp_gy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_182,type,
aTP_Lamp_gz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_183,type,
aTP_Lamp_ha:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_184,type,
aTP_Lamp_hb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_185,type,
aTP_Lamp_hc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_186,type,
aTP_Lamp_hd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_187,type,
aTP_Lamp_he:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_188,type,
aTP_Lamp_hf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_189,type,
aTP_Lamp_hg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_190,type,
aTP_Lamp_hh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_191,type,
aTP_Lamp_hi:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_192,type,
aTP_Lamp_hj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_193,type,
aTP_Lamp_hk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_194,type,
aTP_Lamp_hl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_195,type,
aTP_Lamp_hm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_196,type,
aTP_Lamp_hn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_197,type,
aTP_Lamp_ho:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_198,type,
aTP_Lamp_hp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_199,type,
aTP_Lamp_hq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_200,type,
aTP_Lamp_hr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_201,type,
aTP_Lamp_hs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_202,type,
aTP_Lamp_ht:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_203,type,
aTP_Lamp_hu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_204,type,
aTP_Lamp_hv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_205,type,
aTP_Lamp_hw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_206,type,
aTP_Lamp_hx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_207,type,
aTP_Lamp_hy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_208,type,
aTP_Lamp_hz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_209,type,
aTP_Lamp_ia:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_210,type,
aTP_Lamp_ib:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_211,type,
aTP_Lamp_ic:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_212,type,
aTP_Lamp_id:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_213,type,
aTP_Lamp_ie:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_214,type,
aTP_Lamp_if:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_215,type,
aTP_Lamp_ig:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_216,type,
aTP_Lamp_ih:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_217,type,
aTP_Lamp_ii:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_218,type,
aTP_Lamp_ij:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_219,type,
aTP_Lamp_ik:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_220,type,
aTP_Lamp_il:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_221,type,
aTP_Lamp_im:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_222,type,
aTP_Lamp_in:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_223,type,
aTP_Lamp_io:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_224,type,
aTP_Lamp_ip:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_225,type,
aTP_Lamp_iq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_226,type,
aTP_Lamp_ir:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_227,type,
aTP_Lamp_is:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_228,type,
aTP_Lamp_it:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_229,type,
aTP_Lamp_iu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_230,type,
aTP_Lamp_iv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_231,type,
aTP_Lamp_iw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_232,type,
aTP_Lamp_ix:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_233,type,
aTP_Lamp_iy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_234,type,
aTP_Lamp_iz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_235,type,
aTP_Lamp_ja:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_236,type,
aTP_Lamp_jb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_237,type,
aTP_Lamp_jc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_238,type,
aTP_Lamp_jd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_239,type,
aTP_Lamp_je:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_240,type,
aTP_Lamp_jf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_241,type,
aTP_Lamp_jg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_242,type,
aTP_Lamp_jh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_243,type,
aTP_Lamp_ji:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_244,type,
aTP_Lamp_jj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_245,type,
aTP_Lamp_jk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_246,type,
aTP_Lamp_jl:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_247,type,
aTP_Lamp_jm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_248,type,
aTP_Lamp_jn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_249,type,
aTP_Lamp_jo:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_250,type,
aTP_Lamp_jp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_251,type,
aTP_Lamp_jq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_252,type,
aTP_Lamp_jr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_253,type,
aTP_Lamp_js:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_254,type,
aTP_Lamp_jt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_255,type,
aTP_Lamp_ju:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_256,type,
aTP_Lamp_jv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_257,type,
aTP_Lamp_jw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_258,type,
aTP_Lamp_jx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_259,type,
aTP_Lamp_jy:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_260,type,
aTP_Lamp_jz:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_261,type,
aTP_Lamp_ka:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_262,type,
aTP_Lamp_kb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_263,type,
aTP_Lamp_kc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_264,type,
aTP_Lamp_kd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_265,type,
aTP_Lamp_ke:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_266,type,
aTP_Lamp_kf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_267,type,
aTP_Lamp_kg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_268,type,
aTP_Lamp_kh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_269,type,
aTP_Lamp_ki:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_270,type,
aTP_Lamp_kj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_271,type,
aTP_Lamp_kk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_272,type,
aTP_Lamp_kl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_273,type,
aTP_Lamp_km:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_274,type,
aTP_Lamp_kn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_275,type,
aTP_Lamp_ko:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_276,type,
aTP_Lamp_kp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_277,type,
aTP_Lamp_kq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_278,type,
aTP_Lamp_kr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_279,type,
aTP_Lamp_ks:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_280,type,
aTP_Lamp_kt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_281,type,
aTP_Lamp_ku:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_282,type,
aTP_Lamp_kv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_283,type,
aTP_Lamp_kw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_284,type,
aTP_Lamp_kx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_285,type,
aTP_Lamp_ky:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_286,type,
aTP_Lamp_kz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_287,type,
aTP_Lamp_la:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_288,type,
aTP_Lamp_lb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_289,type,
aTP_Lamp_lc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_290,type,
aTP_Lamp_ld:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_291,type,
aTP_Lamp_le:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_292,type,
aTP_Lamp_lf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_293,type,
aTP_Lamp_lg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_294,type,
aTP_Lamp_lh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_295,type,
aTP_Lamp_li:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_296,type,
aTP_Lamp_lj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_297,type,
aTP_Lamp_lk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_298,type,
aTP_Lamp_ll:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_299,type,
aTP_Lamp_lm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_300,type,
aTP_Lamp_ln:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_301,type,
aTP_Lamp_lo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_302,type,
aTP_Lamp_lp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_303,type,
aTP_Lamp_lq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_304,type,
aTP_Lamp_lr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_305,type,
aTP_Lamp_ls:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_306,type,
aTP_Lamp_lt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_307,type,
aTP_Lamp_lu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_308,type,
aTP_Lamp_lv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_309,type,
aTP_Lamp_lw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_310,type,
aTP_Lamp_lx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_311,type,
aTP_Lamp_ly:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_312,type,
aTP_Lamp_lz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_313,type,
aTP_Lamp_ma:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_314,type,
aTP_Lamp_mb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_315,type,
aTP_Lamp_mc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_316,type,
aTP_Lamp_md:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_317,type,
aTP_Lamp_me:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_318,type,
aTP_Lamp_mf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_319,type,
aTP_Lamp_mg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_320,type,
aTP_Lamp_mh:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_321,type,
aTP_Lamp_mi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_322,type,
aTP_Lamp_mj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_323,type,
aTP_Lamp_mk:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_324,type,
aTP_Lamp_ml:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_325,type,
aTP_Lamp_mm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_326,type,
aTP_Lamp_mn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_327,type,
aTP_Lamp_mo:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_328,type,
aTP_Lamp_mp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_329,type,
aTP_Lamp_mq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_330,type,
aTP_Lamp_mr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_331,type,
aTP_Lamp_ms:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_332,type,
aTP_Lamp_mt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_333,type,
aTP_Lamp_mu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_334,type,
aTP_Lamp_mv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_335,type,
aTP_Lamp_mw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_336,type,
aTP_Lamp_mx:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_337,type,
aTP_Lamp_my:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_338,type,
aTP_Lamp_mz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_339,type,
aTP_Lamp_na:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_340,type,
aTP_Lamp_nb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_341,type,
aTP_Lamp_nc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_342,type,
aTP_Lamp_nd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_343,type,
aTP_Lamp_ne:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_344,type,
aTP_Lamp_nf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_345,type,
aTP_Lamp_ng:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_346,type,
aTP_Lamp_nh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_347,type,
aTP_Lamp_ni:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_348,type,
aTP_Lamp_nj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_349,type,
aTP_Lamp_nk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_350,type,
aTP_Lamp_nl:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_351,type,
aTP_Lamp_nm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_352,type,
aTP_Lamp_nn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_353,type,
aTP_Lamp_no:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_354,type,
aTP_Lamp_np:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_355,type,
aTP_Lamp_nq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_356,type,
aTP_Lamp_nr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_357,type,
aTP_Lamp_ns:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_358,type,
aTP_Lamp_nt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_359,type,
aTP_Lamp_nu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_360,type,
aTP_Lamp_nv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_361,type,
aTP_Lamp_nw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_362,type,
aTP_Lamp_nx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_363,type,
aTP_Lamp_ny:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_364,type,
aTP_Lamp_nz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_365,type,
aTP_Lamp_oa:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_366,type,
aTP_Lamp_ob:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_367,type,
aTP_Lamp_oc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_368,type,
aTP_Lamp_od:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_369,type,
aTP_Lamp_oe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_370,type,
aTP_Lamp_of:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_371,type,
aTP_Lamp_og:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_372,type,
aTP_Lamp_oh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_373,type,
aTP_Lamp_oi:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_374,type,
aTP_Lamp_oj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_375,type,
aTP_Lamp_ok:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_376,type,
aTP_Lamp_ol:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_377,type,
aTP_Lamp_om:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_378,type,
aTP_Lamp_on:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_379,type,
aTP_Lamp_oo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_380,type,
aTP_Lamp_op:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_381,type,
aTP_Lamp_oq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_382,type,
aTP_Lamp_or:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_383,type,
aTP_Lamp_os:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_384,type,
aTP_Lamp_ot:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_385,type,
aTP_Lamp_ou:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_386,type,
aTP_Lamp_ov:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_387,type,
aTP_Lamp_ow:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_388,type,
aTP_Lamp_ox:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_389,type,
aTP_Lamp_oy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_390,type,
aTP_Lamp_oz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_391,type,
aTP_Lamp_pa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_392,type,
aTP_Lamp_pb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_393,type,
aTP_Lamp_pc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_394,type,
aTP_Lamp_pd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_395,type,
aTP_Lamp_pe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_396,type,
aTP_Lamp_pf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_397,type,
aTP_Lamp_pg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_398,type,
aTP_Lamp_ph:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_399,type,
aTP_Lamp_pi:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_400,type,
aTP_Lamp_pj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_401,type,
aTP_Lamp_pk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_402,type,
aTP_Lamp_pl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_403,type,
aTP_Lamp_pm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_404,type,
aTP_Lamp_pn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_405,type,
aTP_Lamp_po:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_406,type,
aTP_Lamp_pp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_407,type,
aTP_Lamp_pq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_408,type,
aTP_Lamp_pr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_409,type,
aTP_Lamp_ps:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_410,type,
aTP_Lamp_pt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_411,type,
aTP_Lamp_pu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_412,type,
aTP_Lamp_pv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_413,type,
aTP_Lamp_pw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_414,type,
aTP_Lamp_px:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_415,type,
aTP_Lamp_py:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_416,type,
aTP_Lamp_pz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_417,type,
aTP_Lamp_qa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_418,type,
aTP_Lamp_qb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_419,type,
aTP_Lamp_qc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_420,type,
aTP_Lamp_qd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_421,type,
aTP_Lamp_qe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_422,type,
aTP_Lamp_qf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_423,type,
aTP_Lamp_qg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_424,type,
aTP_Lamp_qh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_425,type,
aTP_Lamp_qi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_426,type,
aTP_Lamp_qj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_427,type,
aTP_Lamp_qk:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_428,type,
aTP_Lamp_ql:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_429,type,
aTP_Lamp_qm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_430,type,
aTP_Lamp_qn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_431,type,
aTP_Lamp_qo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_432,type,
aTP_Lamp_qp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_433,type,
aTP_Lamp_qq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_434,type,
aTP_Lamp_qr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_435,type,
aTP_Lamp_qs:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_436,type,
aTP_Lamp_qt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_437,type,
aTP_Lamp_qu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_438,type,
aTP_Lamp_qv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_439,type,
aTP_Lamp_qw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_440,type,
aTP_Lamp_qx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_441,type,
aTP_Lamp_qy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_442,type,
aTP_Lamp_qz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_443,type,
aTP_Lamp_ra:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_444,type,
aTP_Lamp_rb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_445,type,
aTP_Lamp_rc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_446,type,
aTP_Lamp_rd:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_447,type,
aTP_Lamp_re:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_448,type,
aTP_Lamp_rf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_449,type,
aTP_Lamp_rg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_450,type,
aTP_Lamp_rh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_451,type,
aTP_Lamp_ri:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_452,type,
aTP_Lamp_rj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_453,type,
aTP_Lamp_rk:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_454,type,
aTP_Lamp_rl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_455,type,
aTP_Lamp_rm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_456,type,
aTP_Lamp_rn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_457,type,
aTP_Lamp_ro:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_458,type,
aTP_Lamp_rp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_459,type,
aTP_Lamp_rq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_460,type,
aTP_Lamp_rr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_461,type,
aTP_Lamp_rs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_462,type,
aTP_Lamp_rt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_463,type,
aTP_Lamp_ru:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_464,type,
aTP_Lamp_rv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_465,type,
aTP_Lamp_rw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_466,type,
aTP_Lamp_rx:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_467,type,
aTP_Lamp_ry:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_468,type,
aTP_Lamp_rz:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_469,type,
aTP_Lamp_sa:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_470,type,
aTP_Lamp_sb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_471,type,
aTP_Lamp_sc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_472,type,
aTP_Lamp_sd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_473,type,
aTP_Lamp_se:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_474,type,
aTP_Lamp_sf:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_475,type,
aTP_Lamp_sg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_476,type,
aTP_Lamp_sh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_477,type,
aTP_Lamp_si:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_478,type,
aTP_Lamp_sj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_479,type,
aTP_Lamp_sk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_480,type,
aTP_Lamp_sl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_481,type,
aTP_Lamp_sm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_482,type,
aTP_Lamp_sn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_483,type,
aTP_Lamp_so:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_484,type,
aTP_Lamp_sp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_485,type,
aTP_Lamp_sq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_486,type,
aTP_Lamp_sr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_487,type,
aTP_Lamp_ss:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_488,type,
aTP_Lamp_st:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_489,type,
aTP_Lamp_su:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_490,type,
aTP_Lamp_sv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_491,type,
aTP_Lamp_sw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_492,type,
aTP_Lamp_sx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_493,type,
aTP_Lamp_sy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_494,type,
aTP_Lamp_sz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_495,type,
aTP_Lamp_ta:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_496,type,
aTP_Lamp_tb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_497,type,
aTP_Lamp_tc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_498,type,
aTP_Lamp_td:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_499,type,
aTP_Lamp_te:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_500,type,
aTP_Lamp_tf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_501,type,
aTP_Lamp_tg:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_502,type,
aTP_Lamp_th:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_503,type,
archimedean_ceiling:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_504,type,
archim6421214686448440834_floor:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_505,type,
archimedean_frac:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_506,type,
archimedean_round:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_507,type,
array_alloc:
!>[X0: $tType] : ( ( list(X0) * heap_ext(product_unit) ) > product_prod(array(X0),heap_ext(product_unit)) ) ).
tff(func_def_508,type,
array_freeze:
!>[X0: $tType] : ( array(X0) > heap_Time_Heap(list(X0)) ) ).
tff(func_def_509,type,
array_get:
!>[X0: $tType] : ( ( heap_ext(product_unit) * array(X0) ) > list(X0) ) ).
tff(func_def_510,type,
array_len:
!>[X0: $tType] : ( array(X0) > heap_Time_Heap(nat) ) ).
tff(func_def_511,type,
array_length:
!>[X0: $tType] : ( heap_ext(product_unit) > fun(array(X0),nat) ) ).
tff(func_def_512,type,
array_make:
!>[X0: $tType] : ( ( nat * fun(nat,X0) ) > heap_Time_Heap(array(X0)) ) ).
tff(func_def_513,type,
array_map_entry:
!>[X0: $tType] : ( ( nat * fun(X0,X0) * array(X0) ) > heap_Time_Heap(array(X0)) ) ).
tff(func_def_514,type,
array_new:
!>[X0: $tType] : ( ( nat * X0 ) > heap_Time_Heap(array(X0)) ) ).
tff(func_def_515,type,
array_nth:
!>[X0: $tType] : ( ( array(X0) * nat ) > heap_Time_Heap(X0) ) ).
tff(func_def_516,type,
array_of_list:
!>[X0: $tType] : ( list(X0) > heap_Time_Heap(array(X0)) ) ).
tff(func_def_517,type,
array_present:
!>[X0: $tType] : ( heap_ext(product_unit) > fun(array(X0),bool) ) ).
tff(func_def_518,type,
array_set:
!>[X0: $tType] : ( ( array(X0) * list(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).
tff(func_def_519,type,
array_swap:
!>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(X0) ) ).
tff(func_def_520,type,
array_upd:
!>[X0: $tType] : ( ( nat * X0 * array(X0) ) > heap_Time_Heap(array(X0)) ) ).
tff(func_def_521,type,
array_update:
!>[X0: $tType] : ( ( array(X0) * nat * X0 * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).
tff(func_def_522,type,
bNF_Ca8665028551170535155natLeq: set(product_prod(nat,nat)) ).
tff(func_def_523,type,
bNF_Ca8459412986667044542atLess: set(product_prod(nat,nat)) ).
tff(func_def_524,type,
bNF_rel_fun:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,fun(X1,bool)) * fun(X2,fun(X3,bool)) ) > fun(fun(X0,X2),fun(fun(X1,X3),bool)) ) ).
tff(func_def_525,type,
bNF_Wellorder_bsqr:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(product_prod(X0,X0),product_prod(X0,X0))) ) ).
tff(func_def_526,type,
bNF_We413866401316099525erIncl:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).
tff(func_def_527,type,
bNF_Wellorder_ordIso:
!>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).
tff(func_def_528,type,
bNF_We4044943003108391690rdLess:
!>[X0: $tType,X1: $tType] : set(product_prod(set(product_prod(X0,X0)),set(product_prod(X1,X1)))) ).
tff(func_def_529,type,
basic_BNF_size_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).
tff(func_def_530,type,
basic_BNF_size_sum:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * sum_sum(X0,X1) ) > nat ) ).
tff(func_def_531,type,
basic_pred_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X1,bool) ) > fun(product_prod(X0,X1),bool) ) ).
tff(func_def_532,type,
binomial: nat > fun(nat,nat) ).
tff(func_def_533,type,
gbinomial:
!>[X0: $tType] : ( X0 > fun(nat,X0) ) ).
tff(func_def_534,type,
bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).
tff(func_def_535,type,
bit_and_not_num: ( num * num ) > option(num) ).
tff(func_def_536,type,
bit_concat_bit: ( nat * int * int ) > int ).
tff(func_def_537,type,
bit_or_not_num_neg: ( num * num ) > num ).
tff(func_def_538,type,
bit_ri4277139882892585799ns_not:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_539,type,
bit_ri4674362597316999326ke_bit:
!>[X0: $tType] : ( nat > fun(X0,X0) ) ).
tff(func_def_540,type,
bit_se5824344872417868541ns_and:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_541,type,
bit_se4197421643247451524op_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_542,type,
bit_se8732182000553998342ip_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_543,type,
bit_se2239418461657761734s_mask:
!>[X0: $tType] : fun(nat,X0) ).
tff(func_def_544,type,
bit_se1065995026697491101ons_or:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_545,type,
bit_se4730199178511100633sh_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_546,type,
bit_se5668285175392031749et_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_547,type,
bit_se2584673776208193580ke_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_548,type,
bit_se2638667681897837118et_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_549,type,
bit_se5824344971392196577ns_xor:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_550,type,
bit_se5641148757651400278ts_bit:
!>[X0: $tType] : fun(X0,fun(nat,bool)) ).
tff(func_def_551,type,
bit_se6407376104438227557le_bit:
!>[X0: $tType] : ( ( itself(X0) * nat ) > bool ) ).
tff(func_def_552,type,
bit_take_bit_num: ( nat * num ) > option(num) ).
tff(func_def_553,type,
bit_un7362597486090784418nd_num: ( num * num ) > option(num) ).
tff(func_def_554,type,
bit_un2480387367778600638or_num: ( num * num ) > option(num) ).
tff(func_def_555,type,
code_Nat: fun(code_integer,code_natural) ).
tff(func_def_556,type,
code_Neg: num > code_integer ).
tff(func_def_557,type,
code_Pos: fun(num,code_integer) ).
tff(func_def_558,type,
code_Suc: fun(code_natural,code_natural) ).
tff(func_def_559,type,
code_bit_cut_integer: code_integer > product_prod(code_integer,bool) ).
tff(func_def_560,type,
code_cr_integer: fun(int,fun(code_integer,bool)) ).
tff(func_def_561,type,
code_cr_natural: fun(nat,fun(code_natural,bool)) ).
tff(func_def_562,type,
code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).
tff(func_def_563,type,
code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).
tff(func_def_564,type,
code_dup: fun(code_integer,code_integer) ).
tff(func_def_565,type,
code_int_of_integer: fun(code_integer,int) ).
tff(func_def_566,type,
code_integer_of_int: fun(int,code_integer) ).
tff(func_def_567,type,
code_integer_of_nat: fun(nat,code_integer) ).
tff(func_def_568,type,
code_i5400310926305786745atural: fun(code_natural,code_integer) ).
tff(func_def_569,type,
code_integer_of_num: fun(num,code_integer) ).
tff(func_def_570,type,
code_nat_of_integer: fun(code_integer,nat) ).
tff(func_def_571,type,
code_case_natural:
!>[X0: $tType] : ( ( X0 * fun(code_natural,X0) ) > fun(code_natural,X0) ) ).
tff(func_def_572,type,
code_nat_of_natural: fun(code_natural,nat) ).
tff(func_def_573,type,
code_natural_of_nat: fun(nat,code_natural) ).
tff(func_def_574,type,
code_rec_natural:
!>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) ) > fun(code_natural,X0) ) ).
tff(func_def_575,type,
code_rec_set_natural:
!>[X0: $tType] : ( ( X0 * fun(code_natural,fun(X0,X0)) * code_natural ) > fun(X0,bool) ) ).
tff(func_def_576,type,
code_n4118661773612635043nteger: fun(code_integer,code_natural) ).
tff(func_def_577,type,
code_negative: fun(num,code_integer) ).
tff(func_def_578,type,
code_num_of_integer: fun(code_integer,num) ).
tff(func_def_579,type,
code_pcr_integer: fun(int,fun(code_integer,bool)) ).
tff(func_def_580,type,
code_pcr_natural: fun(nat,fun(code_natural,bool)) ).
tff(func_def_581,type,
code_positive: fun(num,code_integer) ).
tff(func_def_582,type,
code_size_nat: fun(code_natural,nat) ).
tff(func_def_583,type,
code_sub: fun(num,fun(num,code_integer)) ).
tff(func_def_584,type,
complete_Inf_Inf:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_585,type,
complete_Sup_Sup:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_586,type,
comple187402453842119260l_fixp:
!>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,bool)) * fun(X0,X0) ) > X0 ) ).
tff(func_def_587,type,
comple115746919287870866o_fixp:
!>[X0: $tType] : ( fun(X0,X0) > X0 ) ).
tff(func_def_588,type,
comple6359979572994053840erates:
!>[X0: $tType] : ( fun(X0,X0) > set(X0) ) ).
tff(func_def_589,type,
comple7512665784863727008ratesp:
!>[X0: $tType] : ( fun(X0,X0) > fun(X0,bool) ) ).
tff(func_def_590,type,
condit941137186595557371_above:
!>[X0: $tType] : fun(set(X0),bool) ).
tff(func_def_591,type,
condit1013018076250108175_below:
!>[X0: $tType] : fun(set(X0),bool) ).
tff(func_def_592,type,
condit16957441358409770ng_bdd:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),bool) ) ).
tff(func_def_593,type,
from_nat:
!>[X0: $tType] : fun(nat,X0) ).
tff(func_def_594,type,
nth_item:
!>[X0: $tType] : ( nat > set(old_node(X0,product_unit)) ) ).
tff(func_def_595,type,
nth_item_rel: fun(nat,fun(nat,bool)) ).
tff(func_def_596,type,
adjust_div: product_prod(int,int) > int ).
tff(func_def_597,type,
adjust_mod: ( int * int ) > int ).
tff(func_def_598,type,
divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).
tff(func_def_599,type,
unique8689654367752047608divmod:
!>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).
tff(func_def_600,type,
unique1321980374590559556d_step:
!>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).
tff(func_def_601,type,
euclid6346220572633701492n_size:
!>[X0: $tType] : fun(X0,nat) ).
tff(func_def_602,type,
euclid7384307370059645450egment:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_603,type,
comm_s3205402744901411588hammer:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_604,type,
semiring_char_0_fact:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_605,type,
inverse_inverse:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_606,type,
finite_card:
!>[X0: $tType] : fun(set(X0),nat) ).
tff(func_def_607,type,
finite_finite2:
!>[X0: $tType] : fun(set(X0),bool) ).
tff(func_def_608,type,
finite_fold:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).
tff(func_def_609,type,
finite_folding_F:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 ) > fun(set(X0),X1) ) ).
tff(func_def_610,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).
tff(func_def_611,type,
fun_upd:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).
tff(func_def_612,type,
id:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_613,type,
map_fun:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,X1) * fun(X2,X3) ) > fun(fun(X1,X2),fun(X0,X3)) ) ).
tff(func_def_614,type,
fun_max_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).
tff(func_def_615,type,
fun_max_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).
tff(func_def_616,type,
fun_min_strict: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).
tff(func_def_617,type,
fun_min_weak: set(product_prod(set(product_prod(nat,nat)),set(product_prod(nat,nat)))) ).
tff(func_def_618,type,
fun_pair_leq: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).
tff(func_def_619,type,
fun_pair_less: set(product_prod(product_prod(nat,nat),product_prod(nat,nat))) ).
tff(func_def_620,type,
fun_rp_inv_image:
!>[X0: $tType,X1: $tType] : fun(product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))),fun(fun(X1,X0),product_prod(set(product_prod(X1,X1)),set(product_prod(X1,X1))))) ).
tff(func_def_621,type,
gcd_Gcd:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_622,type,
gcd_Lcm:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_623,type,
bezw: ( nat * nat ) > product_prod(int,int) ).
tff(func_def_624,type,
bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_625,type,
bounde2362111253966948842tice_F:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 ) > fun(set(X0),X0) ) ).
tff(func_def_626,type,
gcd_gcd:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_627,type,
gcd_lcm:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_628,type,
gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_629,type,
semiri4206861660011772517g_char:
!>[X0: $tType] : ( itself(X0) > nat ) ).
tff(func_def_630,type,
semiring_gcd_Gcd_fin:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_631,type,
semiring_gcd_Lcm_fin:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_632,type,
abs_abs:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_633,type,
minus_minus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_634,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_635,type,
plus_plus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_636,type,
sgn_sgn:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_637,type,
times_times:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_638,type,
uminus_uminus:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_639,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_640,type,
groups7311177749621191930dd_sum:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).
tff(func_def_641,type,
groups1027152243600224163dd_sum:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).
tff(func_def_642,type,
groups7121269368397514597t_prod:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).
tff(func_def_643,type,
groups1962203154675924110t_prod:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).
tff(func_def_644,type,
groups_comm_monoid_F:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(fun(X1,X0),fun(set(X1),X0)) ) ).
tff(func_def_645,type,
groups_comm_monoid_G:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(fun(X1,X0),fun(set(X1),X0)) ) ).
tff(func_def_646,type,
groups4207007520872428315er_sum:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(X1,fun(list(X0),X1))) ).
tff(func_def_647,type,
groups8242544230860333062m_list:
!>[X0: $tType] : fun(list(X0),X0) ).
tff(func_def_648,type,
groups_monoid_F:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(list(X0),X0) ) ).
tff(func_def_649,type,
groups5270119922927024881d_list:
!>[X0: $tType] : fun(list(X0),X0) ).
tff(func_def_650,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_651,type,
undefined:
!>[X0: $tType] : X0 ).
tff(func_def_652,type,
addr_of_array:
!>[X0: $tType] : ( array(X0) > nat ) ).
tff(func_def_653,type,
array2:
!>[X0: $tType] : ( nat > array(X0) ) ).
tff(func_def_654,type,
size_array:
!>[X0: $tType] : ( ( fun(X0,nat) * array(X0) ) > nat ) ).
tff(func_def_655,type,
empty: heap_ext(product_unit) ).
tff(func_def_656,type,
arrays:
!>[X0: $tType] : ( ( heap_ext(X0) * typerep * nat ) > list(nat) ) ).
tff(func_def_657,type,
heap_ext2:
!>[X0: $tType] : ( ( fun(typerep,fun(nat,list(nat))) * fun(typerep,fun(nat,nat)) * nat * X0 ) > heap_ext(X0) ) ).
tff(func_def_658,type,
lim:
!>[X0: $tType] : ( heap_ext(X0) > nat ) ).
tff(func_def_659,type,
lim_update:
!>[X0: $tType] : ( ( fun(nat,nat) * heap_ext(X0) ) > heap_ext(X0) ) ).
tff(func_def_660,type,
heap_Time_Heap2:
!>[X0: $tType] : ( fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) > heap_Time_Heap(X0) ) ).
tff(func_def_661,type,
heap_Time_case_Heap:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1) * heap_Time_Heap(X0) ) > X1 ) ).
tff(func_def_662,type,
heap_Time_map_Heap:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(heap_Time_Heap(X0),heap_Time_Heap(X1))) ).
tff(func_def_663,type,
heap_Time_pred_Heap:
!>[X0: $tType] : fun(fun(X0,bool),fun(heap_Time_Heap(X0),bool)) ).
tff(func_def_664,type,
heap_Time_rec_Heap:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),X1) * heap_Time_Heap(X0) ) > X1 ) ).
tff(func_def_665,type,
heap_Time_rel_Heap:
!>[X0: $tType,X1: $tType] : fun(fun(X0,fun(X1,bool)),fun(heap_Time_Heap(X0),fun(heap_Time_Heap(X1),bool))) ).
tff(func_def_666,type,
heap_Time_set_Heap:
!>[X0: $tType] : ( heap_Time_Heap(X0) > set(X0) ) ).
tff(func_def_667,type,
heap_Time_size_Heap:
!>[X0: $tType] : ( fun(X0,nat) > fun(heap_Time_Heap(X0),nat) ) ).
tff(func_def_668,type,
heap_Time_Heap_lub:
!>[X0: $tType] : fun(set(heap_Time_Heap(X0)),heap_Time_Heap(X0)) ).
tff(func_def_669,type,
heap_Time_Heap_ord:
!>[X0: $tType] : fun(heap_Time_Heap(X0),fun(heap_Time_Heap(X0),bool)) ).
tff(func_def_670,type,
heap_Time_assert:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > heap_Time_Heap(X0) ) ).
tff(func_def_671,type,
heap_Time_bind:
!>[X0: $tType,X1: $tType] : ( ( heap_Time_Heap(X0) * fun(X0,heap_Time_Heap(X1)) ) > heap_Time_Heap(X1) ) ).
tff(func_def_672,type,
heap_Time_execute:
!>[X0: $tType] : ( heap_Time_Heap(X0) > fun(heap_ext(product_unit),option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))) ) ).
tff(func_def_673,type,
heap_Time_guard:
!>[X0: $tType] : ( ( fun(heap_ext(product_unit),bool) * fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > heap_Time_Heap(X0) ) ).
tff(func_def_674,type,
heap_Time_heap:
!>[X0: $tType] : ( fun(heap_ext(product_unit),product_prod(X0,product_prod(heap_ext(product_unit),nat))) > heap_Time_Heap(X0) ) ).
tff(func_def_675,type,
heap_Time_lift:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(X0,heap_Time_Heap(X1)) ) ).
tff(func_def_676,type,
heap_Time_raise:
!>[X0: $tType] : ( list(char) > heap_Time_Heap(X0) ) ).
tff(func_def_677,type,
heap_Time_return:
!>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).
tff(func_def_678,type,
heap_Time_tap:
!>[X0: $tType] : ( fun(heap_ext(product_unit),X0) > heap_Time_Heap(X0) ) ).
tff(func_def_679,type,
heap_Time_timeFrame:
!>[X0: $tType] : ( ( nat * option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) > option(product_prod(X0,product_prod(heap_ext(product_unit),nat))) ) ).
tff(func_def_680,type,
heap_T5500966940807335491me_rel:
!>[X0: $tType] : fun(product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),fun(product_prod(nat,option(product_prod(X0,product_prod(heap_ext(product_unit),nat)))),bool)) ).
tff(func_def_681,type,
heap_Time_ureturn:
!>[X0: $tType] : fun(X0,heap_Time_Heap(X0)) ).
tff(func_def_682,type,
heap_Time_wait: nat > heap_Time_Heap(product_unit) ).
tff(func_def_683,type,
hilbert_inv_into:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > fun(X1,X0) ) ).
tff(func_def_684,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_685,type,
complete_lattice_gfp:
!>[X0: $tType] : ( fun(X0,X0) > X0 ) ).
tff(func_def_686,type,
complete_lattice_lfp:
!>[X0: $tType] : ( fun(X0,X0) > X0 ) ).
tff(func_def_687,type,
abs_Integ: fun(product_prod(nat,nat),int) ).
tff(func_def_688,type,
neg: num > int ).
tff(func_def_689,type,
pos: fun(num,int) ).
tff(func_def_690,type,
rep_Integ: fun(int,product_prod(nat,nat)) ).
tff(func_def_691,type,
cr_int: fun(product_prod(nat,nat),fun(int,bool)) ).
tff(func_def_692,type,
dup: int > int ).
tff(func_def_693,type,
abs_int: fun(set(product_prod(nat,nat)),int) ).
tff(func_def_694,type,
rep_int: fun(int,set(product_prod(nat,nat))) ).
tff(func_def_695,type,
int_ge_less_than: int > set(product_prod(int,int)) ).
tff(func_def_696,type,
int_ge_less_than2: int > set(product_prod(int,int)) ).
tff(func_def_697,type,
intrel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_698,type,
nat2: fun(int,nat) ).
tff(func_def_699,type,
pcr_int: fun(product_prod(nat,nat),fun(int,bool)) ).
tff(func_def_700,type,
power_int:
!>[X0: $tType] : ( ( X0 * int ) > X0 ) ).
tff(func_def_701,type,
ring_1_Ints:
!>[X0: $tType] : set(X0) ).
tff(func_def_702,type,
ring_1_of_int:
!>[X0: $tType] : fun(int,X0) ).
tff(func_def_703,type,
sub: ( num * num ) > int ).
tff(func_def_704,type,
inf_inf:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_705,type,
sup_sup:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_706,type,
lattices_Max:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).
tff(func_def_707,type,
lattices_Min:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).
tff(func_def_708,type,
lattic643756798349783984er_Max:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_709,type,
lattic643756798350308766er_Min:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_710,type,
lattices_ord_arg_max:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_711,type,
lattic1883929316492267755max_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).
tff(func_def_712,type,
lattices_ord_arg_min:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_713,type,
lattic7623131987881927897min_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).
tff(func_def_714,type,
lattic501386751176901750rg_max:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_715,type,
lattic501386751177426532rg_min:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_716,type,
lattic7752659483105999362nf_fin:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_717,type,
lattic5214292709420241887eutr_F:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > fun(set(X0),X0) ) ).
tff(func_def_718,type,
lattic1715443433743089157tice_F:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(set(X0),X0) ) ).
tff(func_def_719,type,
lattic5882676163264333800up_fin:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_720,type,
append:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_721,type,
arg_min_list:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).
tff(func_def_722,type,
arg_min_list_rel:
!>[X0: $tType,X1: $tType] : fun(product_prod(fun(X0,X1),list(X0)),fun(product_prod(fun(X0,X1),list(X0)),bool)) ).
tff(func_def_723,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_724,type,
concat:
!>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).
tff(func_def_725,type,
coset:
!>[X0: $tType] : ( list(X0) > set(X0) ) ).
tff(func_def_726,type,
count_list:
!>[X0: $tType] : ( ( list(X0) * X0 ) > nat ) ).
tff(func_def_727,type,
drop:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).
tff(func_def_728,type,
dropWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_729,type,
enumerate:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).
tff(func_def_730,type,
filter:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_731,type,
find:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(X0) ) ).
tff(func_def_732,type,
fold:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_733,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_734,type,
gen_length:
!>[X0: $tType] : ( nat > fun(list(X0),nat) ) ).
tff(func_def_735,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_736,type,
lenlex:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_737,type,
lex:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_738,type,
lexord:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_739,type,
linord329482645794927042rt_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_740,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_741,type,
linorder_sort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).
tff(func_def_742,type,
linord4507533701916653071of_set:
!>[X0: $tType] : ( set(X0) > list(X0) ) ).
tff(func_def_743,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_744,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_745,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_746,type,
list_all2:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(list(X0),fun(list(X1),bool)) ) ).
tff(func_def_747,type,
map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).
tff(func_def_748,type,
set2:
!>[X0: $tType] : ( list(X0) > set(X0) ) ).
tff(func_def_749,type,
size_list:
!>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).
tff(func_def_750,type,
tl:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_751,type,
list_update:
!>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).
tff(func_def_752,type,
listrel:
!>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).
tff(func_def_753,type,
listrel1:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_754,type,
measures:
!>[X0: $tType] : ( list(fun(X0,nat)) > set(product_prod(X0,X0)) ) ).
tff(func_def_755,type,
n_lists:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).
tff(func_def_756,type,
nth:
!>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).
tff(func_def_757,type,
nths:
!>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).
tff(func_def_758,type,
ord_lexordp:
!>[X0: $tType] : fun(list(X0),fun(list(X0),bool)) ).
tff(func_def_759,type,
product:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).
tff(func_def_760,type,
product_lists:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_761,type,
remdups:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_762,type,
remdups_adj:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_763,type,
remove1:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_764,type,
removeAll:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_765,type,
replicate:
!>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).
tff(func_def_766,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_767,type,
rotate:
!>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).
tff(func_def_768,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_769,type,
take:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).
tff(func_def_770,type,
takeWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_771,type,
transpose:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_772,type,
upt: ( nat * nat ) > list(nat) ).
tff(func_def_773,type,
upto: ( int * int ) > list(int) ).
tff(func_def_774,type,
upto_aux: ( int * int * list(int) ) > list(int) ).
tff(func_def_775,type,
upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).
tff(func_def_776,type,
zip:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).
tff(func_def_777,type,
map_of:
!>[X0: $tType,X1: $tType] : ( ( list(product_prod(X0,X1)) * X0 ) > option(X1) ) ).
tff(func_def_778,type,
map_upds:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).
tff(func_def_779,type,
restrict_map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).
tff(func_def_780,type,
suc: fun(nat,nat) ).
tff(func_def_781,type,
compow:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_782,type,
funpow:
!>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).
tff(func_def_783,type,
case_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_784,type,
pred: nat > nat ).
tff(func_def_785,type,
rec_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).
tff(func_def_786,type,
rec_set_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,bool) ) ).
tff(func_def_787,type,
semiring_1_Nats:
!>[X0: $tType] : set(X0) ).
tff(func_def_788,type,
semiring_1_of_nat:
!>[X0: $tType] : fun(nat,X0) ).
tff(func_def_789,type,
semiri8178284476397505188at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_790,type,
size_size:
!>[X0: $tType] : fun(X0,nat) ).
tff(func_def_791,type,
nat_int_decode: fun(nat,int) ).
tff(func_def_792,type,
nat_int_encode: fun(int,nat) ).
tff(func_def_793,type,
nat_list_decode: fun(nat,list(nat)) ).
tff(func_def_794,type,
nat_list_decode_rel: fun(nat,fun(nat,bool)) ).
tff(func_def_795,type,
nat_list_encode: fun(list(nat),nat) ).
tff(func_def_796,type,
nat_list_encode_rel: fun(list(nat),fun(list(nat),bool)) ).
tff(func_def_797,type,
nat_prod_decode: fun(nat,product_prod(nat,nat)) ).
tff(func_def_798,type,
nat_prod_decode_aux: nat > fun(nat,product_prod(nat,nat)) ).
tff(func_def_799,type,
nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_800,type,
nat_prod_encode: fun(product_prod(nat,nat),nat) ).
tff(func_def_801,type,
nat_set_decode: nat > set(nat) ).
tff(func_def_802,type,
nat_set_encode: fun(set(nat),nat) ).
tff(func_def_803,type,
nat_sum_decode: fun(nat,sum_sum(nat,nat)) ).
tff(func_def_804,type,
nat_sum_encode: fun(sum_sum(nat,nat),nat) ).
tff(func_def_805,type,
nat_triangle: nat > nat ).
tff(func_def_806,type,
bitM: num > num ).
tff(func_def_807,type,
inc: num > num ).
tff(func_def_808,type,
nat_of_num: fun(num,nat) ).
tff(func_def_809,type,
neg_numeral_dbl:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_810,type,
neg_numeral_dbl_dec:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_811,type,
neg_numeral_dbl_inc:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_812,type,
neg_numeral_sub:
!>[X0: $tType] : ( ( num * num ) > X0 ) ).
tff(func_def_813,type,
bit0: num > num ).
tff(func_def_814,type,
bit1: fun(num,num) ).
tff(func_def_815,type,
one2: num ).
tff(func_def_816,type,
case_num:
!>[X0: $tType] : fun(X0,fun(fun(num,X0),fun(fun(num,X0),fun(num,X0)))) ).
tff(func_def_817,type,
rec_num:
!>[X0: $tType] : fun(X0,fun(fun(num,fun(X0,X0)),fun(fun(num,fun(X0,X0)),fun(num,X0)))) ).
tff(func_def_818,type,
size_num: num > nat ).
tff(func_def_819,type,
num_of_nat: fun(nat,num) ).
tff(func_def_820,type,
numeral_numeral:
!>[X0: $tType] : fun(num,X0) ).
tff(func_def_821,type,
pow: ( num * num ) > num ).
tff(func_def_822,type,
pred_numeral: num > nat ).
tff(func_def_823,type,
sqr: num > num ).
tff(func_def_824,type,
old_Atom:
!>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > set(old_node(X0,X1)) ) ).
tff(func_def_825,type,
old_In0:
!>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).
tff(func_def_826,type,
old_In1:
!>[X0: $tType,X1: $tType] : ( set(old_node(X0,X1)) > set(old_node(X0,X1)) ) ).
tff(func_def_827,type,
old_Leaf:
!>[X0: $tType,X1: $tType] : ( X0 > set(old_node(X0,X1)) ) ).
tff(func_def_828,type,
old_Node:
!>[X0: $tType,X1: $tType] : set(product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat))) ).
tff(func_def_829,type,
old_Numb:
!>[X0: $tType,X1: $tType] : ( nat > set(old_node(X0,X1)) ) ).
tff(func_def_830,type,
old_Push:
!>[X0: $tType] : ( ( sum_sum(X0,nat) * fun(nat,sum_sum(X0,nat)) * nat ) > sum_sum(X0,nat) ) ).
tff(func_def_831,type,
old_Push_Node:
!>[X0: $tType,X1: $tType] : ( sum_sum(X0,nat) > fun(old_node(X1,X0),old_node(X1,X0)) ) ).
tff(func_def_832,type,
old_Scons:
!>[X0: $tType,X1: $tType] : ( ( set(old_node(X0,X1)) * set(old_node(X0,X1)) ) > set(old_node(X0,X1)) ) ).
tff(func_def_833,type,
old_ndepth:
!>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > nat ) ).
tff(func_def_834,type,
old_Abs_Node:
!>[X0: $tType,X1: $tType] : ( product_prod(fun(nat,sum_sum(X0,nat)),sum_sum(X1,nat)) > old_node(X1,X0) ) ).
tff(func_def_835,type,
old_Rep_Node:
!>[X0: $tType,X1: $tType] : ( old_node(X0,X1) > product_prod(fun(nat,sum_sum(X1,nat)),sum_sum(X0,nat)) ) ).
tff(func_def_836,type,
old_ntrunc:
!>[X0: $tType,X1: $tType] : ( ( nat * set(old_node(X0,X1)) ) > set(old_node(X0,X1)) ) ).
tff(func_def_837,type,
none:
!>[X0: $tType] : option(X0) ).
tff(func_def_838,type,
some:
!>[X0: $tType] : fun(X0,option(X0)) ).
tff(func_def_839,type,
case_option:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).
tff(func_def_840,type,
size_option:
!>[X0: $tType] : ( ( fun(X0,nat) * option(X0) ) > nat ) ).
tff(func_def_841,type,
the2:
!>[X0: $tType] : ( option(X0) > X0 ) ).
tff(func_def_842,type,
order_under:
!>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).
tff(func_def_843,type,
order_underS:
!>[X0: $tType] : ( ( set(product_prod(X0,X0)) * X0 ) > set(X0) ) ).
tff(func_def_844,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_845,type,
least:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(fun(X0,bool),X0) ) ).
tff(func_def_846,type,
max:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).
tff(func_def_847,type,
min:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).
tff(func_def_848,type,
ord_Least:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_849,type,
ord_less:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_850,type,
ord_less_eq:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_851,type,
ord_max:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_852,type,
ord_min:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_853,type,
order_Greatest:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_854,type,
order_mono:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),bool) ).
tff(func_def_855,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_856,type,
partial_fun_lub:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(set(X0),X1) > fun(set(fun(X2,X0)),fun(X2,X1)) ) ).
tff(func_def_857,type,
partial_fun_ord:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,bool)) > fun(fun(X2,X0),fun(fun(X2,X1),bool)) ) ).
tff(func_def_858,type,
power2:
!>[X0: $tType] : ( ( X0 * fun(X0,fun(X0,X0)) * X0 * nat ) > X0 ) ).
tff(func_def_859,type,
power_power:
!>[X0: $tType] : fun(X0,fun(nat,X0)) ).
tff(func_def_860,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,product_prod(X0,X1)) ) ).
tff(func_def_861,type,
product_Sigma:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,set(X1)) ) > set(product_prod(X0,X1)) ) ).
tff(func_def_862,type,
product_Unity: product_unit ).
tff(func_def_863,type,
product_apfst:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).
tff(func_def_864,type,
product_apsnd:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(product_prod(X2,X0),product_prod(X2,X1))) ).
tff(func_def_865,type,
product_case_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(product_prod(X0,X1),X2) ) ).
tff(func_def_866,type,
product_fst:
!>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).
tff(func_def_867,type,
product_snd:
!>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).
tff(func_def_868,type,
type2:
!>[X0: $tType] : itself(X0) ).
tff(func_def_869,type,
quot_abs:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(set(X0),X1) ) > fun(X0,X1) ) ).
tff(func_def_870,type,
quot_rep:
!>[X0: $tType,X1: $tType] : ( fun(X0,set(X1)) > fun(X0,X1) ) ).
tff(func_def_871,type,
log: ( code_natural * code_natural ) > code_natural ).
tff(func_def_872,type,
log_rel: fun(product_prod(code_natural,code_natural),fun(product_prod(code_natural,code_natural),bool)) ).
tff(func_def_873,type,
minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).
tff(func_def_874,type,
pick:
!>[X0: $tType] : ( list(product_prod(code_natural,X0)) > fun(code_natural,X0) ) ).
tff(func_def_875,type,
range: ( code_natural * product_prod(code_natural,code_natural) ) > product_prod(code_natural,product_prod(code_natural,code_natural)) ).
tff(func_def_876,type,
select_weight:
!>[X0: $tType] : ( list(product_prod(code_natural,X0)) > fun(product_prod(code_natural,code_natural),product_prod(X0,product_prod(code_natural,code_natural))) ) ).
tff(func_def_877,type,
abs_Rat: fun(product_prod(int,int),rat) ).
tff(func_def_878,type,
fract: fun(int,fun(int,rat)) ).
tff(func_def_879,type,
frct: product_prod(int,int) > rat ).
tff(func_def_880,type,
rep_Rat: fun(rat,product_prod(int,int)) ).
tff(func_def_881,type,
field_char_0_Rats:
!>[X0: $tType] : set(X0) ).
tff(func_def_882,type,
field_char_0_of_rat:
!>[X0: $tType] : ( rat > X0 ) ).
tff(func_def_883,type,
normalize: product_prod(int,int) > product_prod(int,int) ).
tff(func_def_884,type,
of_int: int > rat ).
tff(func_def_885,type,
pcr_rat: fun(product_prod(int,int),fun(rat,bool)) ).
tff(func_def_886,type,
positive: fun(rat,bool) ).
tff(func_def_887,type,
quotient_of: rat > product_prod(int,int) ).
tff(func_def_888,type,
ratrel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).
tff(func_def_889,type,
tuple_1188178415141063261rphism:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(product_prod(X1,X2),X0) ) > tuple_isomorphism(X0,X1,X2) ) ).
tff(func_def_890,type,
tuple_9181185373184732606rphism:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * fun(X2,nat) * tuple_isomorphism(X0,X1,X2) ) > nat ) ).
tff(func_def_891,type,
domainp:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(X0,bool) ) ).
tff(func_def_892,type,
field2:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).
tff(func_def_893,type,
id2:
!>[X0: $tType] : set(product_prod(X0,X0)) ).
tff(func_def_894,type,
inv_image:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X1,X0) ) > set(product_prod(X1,X1)) ) ).
tff(func_def_895,type,
relcomp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(product_prod(X0,X1)) * set(product_prod(X1,X2)) ) > set(product_prod(X0,X2)) ) ).
tff(func_def_896,type,
divide_divide:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_897,type,
dvd_dvd:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_898,type,
modulo_modulo:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_899,type,
normal6383669964737779283malize:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_900,type,
unit_f5069060285200089521factor:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_901,type,
zero_neq_one_of_bool:
!>[X0: $tType] : fun(bool,X0) ).
tff(func_def_902,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > set(X0) ) ).
tff(func_def_903,type,
pow2:
!>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).
tff(func_def_904,type,
image:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > set(X1) ) ).
tff(func_def_905,type,
insert:
!>[X0: $tType] : ( ( X0 * set(X0) ) > set(X0) ) ).
tff(func_def_906,type,
vimage:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X1) ) > set(X0) ) ).
tff(func_def_907,type,
set_fo6178422350223883121st_nat:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).
tff(func_def_908,type,
set_fo1817059534552279752at_rel:
!>[X0: $tType] : fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),fun(product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))),bool)) ).
tff(func_def_909,type,
set_ord_atLeast:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_910,type,
set_or1337092689740270186AtMost:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_911,type,
set_or7035219750837199246ssThan:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_912,type,
set_ord_atMost:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_913,type,
set_ord_greaterThan:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_914,type,
set_or3652927894154168847AtMost:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_915,type,
set_or5935395276787703475ssThan:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_916,type,
set_ord_lessThan:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_917,type,
literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).
tff(func_def_918,type,
char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).
tff(func_def_919,type,
size_char: char > nat ).
tff(func_def_920,type,
comm_s6883823935334413003f_char:
!>[X0: $tType] : fun(char,X0) ).
tff(func_def_921,type,
unique5772411509450598832har_of:
!>[X0: $tType] : fun(X0,char) ).
tff(func_def_922,type,
sum_Inl:
!>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X0,X1)) ).
tff(func_def_923,type,
sum_Inr:
!>[X0: $tType,X1: $tType] : fun(X0,sum_sum(X1,X0)) ).
tff(func_def_924,type,
sum_Plus:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(sum_sum(X0,X1)) ) ).
tff(func_def_925,type,
sum_case_sum:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X1) * sum_sum(X0,X2) ) > X1 ) ).
tff(func_def_926,type,
transitive_ntrancl:
!>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).
tff(func_def_927,type,
transitive_rtrancl:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).
tff(func_def_928,type,
transitive_trancl:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).
tff(func_def_929,type,
transitive_tranclp:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,bool)) ) ).
tff(func_def_930,type,
typerep3: ( literal * list(typerep) ) > typerep ).
tff(func_def_931,type,
size_typerep: fun(typerep,nat) ).
tff(func_def_932,type,
typerep_typerep:
!>[X0: $tType] : ( itself(X0) > typerep ) ).
tff(func_def_933,type,
finite_psubset:
!>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).
tff(func_def_934,type,
less_than: set(product_prod(nat,nat)) ).
tff(func_def_935,type,
lex_prod:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).
tff(func_def_936,type,
max_ext:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).
tff(func_def_937,type,
measure:
!>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).
tff(func_def_938,type,
min_ext:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).
tff(func_def_939,type,
mlex_prod:
!>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).
tff(func_def_940,type,
pred_nat: set(product_prod(nat,nat)) ).
tff(func_def_941,type,
chains:
!>[X0: $tType] : ( set(set(X0)) > set(set(set(X0))) ) ).
tff(func_def_942,type,
pred_chain:
!>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) ) > fun(set(X0),bool) ) ).
tff(func_def_943,type,
pred_suc:
!>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) * set(X0) ) > set(X0) ) ).
tff(func_def_944,type,
pred_s596693808085603175closed:
!>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) ) > set(set(X0)) ) ).
tff(func_def_945,type,
pred_s7749564232668923593losedp:
!>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) ) > fun(set(X0),bool) ) ).
tff(func_def_946,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_947,type,
fChoice:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_948,type,
fEx:
!>[X0: $tType] : fun(fun(X0,bool),bool) ).
tff(func_def_949,type,
fFalse: bool ).
tff(func_def_950,type,
fNot: bool > bool ).
tff(func_def_951,type,
fTrue: bool ).
tff(func_def_952,type,
fconj: ( bool * bool ) > bool ).
tff(func_def_953,type,
fdisj: ( bool * bool ) > bool ).
tff(func_def_954,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_955,type,
member:
!>[X0: $tType] : ( ( X0 * set(X0) ) > bool ) ).
tff(func_def_956,type,
a2: array(a) ).
tff(func_def_957,type,
h: heap_ext(product_unit) ).
tff(func_def_958,type,
h2: heap_ext(product_unit) ).
tff(func_def_959,type,
n: nat ).
tff(func_def_960,type,
r: nat ).
tff(func_def_961,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_962,type,
sK14:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_963,type,
sK15:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_964,type,
sK16:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_965,type,
sK17:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_966,type,
sK18:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_967,type,
sK19:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_968,type,
sK20:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_969,type,
sK21:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_970,type,
sK22:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_971,type,
sK23:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_972,type,
sK24:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_973,type,
sK25:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_974,type,
sK26:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_975,type,
sK27:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_976,type,
sK28:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_977,type,
sK29:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_978,type,
sK30:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_979,type,
sK31:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_980,type,
sK32:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_981,type,
sK33:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_982,type,
sK34:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_983,type,
sK35:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_984,type,
sK36:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_985,type,
sK37:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_986,type,
sK38:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_987,type,
sK39:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > X0 ) ).
tff(func_def_988,type,
sK40:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_989,type,
sK41:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_990,type,
sK42:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_991,type,
sK43:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_992,type,
sK44:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_993,type,
sK45:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_994,type,
sK46:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_995,type,
sK47:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > X0 ) ).
tff(func_def_996,type,
sK48:
!>[X0: $tType] : ( set(list(X0)) > nat ) ).
tff(func_def_997,type,
sK49:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_998,type,
sK50:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_999,type,
sK51:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) ) > X1 ) ).
tff(func_def_1000,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) ) > X0 ) ).
tff(func_def_1001,type,
sK53: fun(nat,bool) > nat ).
tff(func_def_1002,type,
sK54: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_1003,type,
sK55:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).
tff(func_def_1004,type,
sK56: fun(nat,bool) > nat ).
tff(func_def_1005,type,
sK57: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_1006,type,
sK58: ( nat * fun(nat,bool) ) > nat ).
tff(func_def_1007,type,
sK59: ( nat * fun(nat,bool) ) > nat ).
tff(func_def_1008,type,
sK60:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).
tff(func_def_1009,type,
sK61:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) * nat ) > X0 ) ).
tff(func_def_1010,type,
sK62: fun(nat,bool) > nat ).
tff(func_def_1011,type,
sK63:
!>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,bool) ) > X0 ) ).
tff(func_def_1012,type,
sK64:
!>[X0: $tType] : ( ( fun(X0,nat) * fun(X0,bool) ) > X0 ) ).
tff(func_def_1013,type,
sK65: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_1014,type,
sK66: fun(nat,bool) > nat ).
tff(func_def_1015,type,
sK67: fun(nat,bool) > nat ).
tff(func_def_1016,type,
sK68: fun(nat,nat) > nat ).
tff(func_def_1017,type,
sK69: fun(nat,nat) > nat ).
tff(func_def_1018,type,
sK70:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).
tff(func_def_1019,type,
sK71:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).
tff(func_def_1020,type,
sK72:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).
tff(func_def_1021,type,
sK73:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).
tff(func_def_1022,type,
sK74:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > heap_ext(product_unit) ) ).
tff(func_def_1023,type,
sK75:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > nat ) ).
tff(func_def_1024,type,
sK76:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > X0 ) ).
tff(func_def_1025,type,
sK77:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > product_prod(heap_ext(product_unit),nat) ) ).
tff(func_def_1026,type,
sK78:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_Time_Heap(X0) ) > heap_ext(product_unit) ) ).
tff(func_def_1027,type,
sK79: product_prod(nat,nat) > nat ).
tff(func_def_1028,type,
sK80: product_prod(nat,nat) > nat ).
tff(pred_def_1,type,
finite_finite:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
bounded_lattice:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
type:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
size:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
heap:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
dvd:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
plus:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
numeral:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
field:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ring_gcd:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
minus:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
abs_if:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
uminus:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
bot:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
semidom:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
inverse:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_26,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_27,type,
neg_numeral:
!>[X0: $tType] : $o ).
tff(pred_def_28,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_29,type,
comm_ring:
!>[X0: $tType] : $o ).
tff(pred_def_30,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_31,type,
typerep2:
!>[X0: $tType] : $o ).
tff(pred_def_32,type,
semiring_Gcd:
!>[X0: $tType] : $o ).
tff(pred_def_33,type,
semiring_gcd:
!>[X0: $tType] : $o ).
tff(pred_def_34,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_35,type,
lattice:
!>[X0: $tType] : $o ).
tff(pred_def_36,type,
no_bot:
!>[X0: $tType] : $o ).
tff(pred_def_37,type,
no_top:
!>[X0: $tType] : $o ).
tff(pred_def_38,type,
semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_39,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_40,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_41,type,
comm_ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_42,type,
idom_divide:
!>[X0: $tType] : $o ).
tff(pred_def_43,type,
idom_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_44,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_45,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_46,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_47,type,
ring_parity:
!>[X0: $tType] : $o ).
tff(pred_def_48,type,
idom_abs_sgn:
!>[X0: $tType] : $o ).
tff(pred_def_49,type,
ordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_50,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_51,type,
countable:
!>[X0: $tType] : $o ).
tff(pred_def_52,type,
field_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_53,type,
ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_54,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_55,type,
order_bot:
!>[X0: $tType] : $o ).
tff(pred_def_56,type,
order_top:
!>[X0: $tType] : $o ).
tff(pred_def_57,type,
wellorder:
!>[X0: $tType] : $o ).
tff(pred_def_58,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_59,type,
zero_less_one:
!>[X0: $tType] : $o ).
tff(pred_def_60,type,
division_ring:
!>[X0: $tType] : $o ).
tff(pred_def_61,type,
field_abs_sgn:
!>[X0: $tType] : $o ).
tff(pred_def_62,type,
semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_63,type,
semiring_numeral:
!>[X0: $tType] : $o ).
tff(pred_def_64,type,
semidom_divide:
!>[X0: $tType] : $o ).
tff(pred_def_65,type,
semidom_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_66,type,
semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_67,type,
dense_order:
!>[X0: $tType] : $o ).
tff(pred_def_68,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_69,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_70,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_71,type,
linordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_72,type,
semiring_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_73,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_74,type,
semiring_parity:
!>[X0: $tType] : $o ).
tff(pred_def_75,type,
ordered_ring_abs:
!>[X0: $tType] : $o ).
tff(pred_def_76,type,
ordered_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_77,type,
linordered_field:
!>[X0: $tType] : $o ).
tff(pred_def_78,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_79,type,
comm_monoid_diff:
!>[X0: $tType] : $o ).
tff(pred_def_80,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_81,type,
algebraic_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_82,type,
semiring_1_cancel:
!>[X0: $tType] : $o ).
tff(pred_def_83,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_84,type,
distrib_lattice:
!>[X0: $tType] : $o ).
tff(pred_def_85,type,
semilattice_inf:
!>[X0: $tType] : $o ).
tff(pred_def_86,type,
semilattice_sup:
!>[X0: $tType] : $o ).
tff(pred_def_87,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_88,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_89,type,
ordered_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_90,type,
linordered_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_91,type,
comple9053668089753744459l_ccpo:
!>[X0: $tType] : $o ).
tff(pred_def_92,type,
finite8700451911770168679attice:
!>[X0: $tType] : $o ).
tff(pred_def_93,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_94,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_95,type,
linord6961819062388156250ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_96,type,
normal8620421768224518004emidom:
!>[X0: $tType] : $o ).
tff(pred_def_97,type,
ordere2520102378445227354miring:
!>[X0: $tType] : $o ).
tff(pred_def_98,type,
bit_semiring_bits:
!>[X0: $tType] : $o ).
tff(pred_def_99,type,
bounded_lattice_bot:
!>[X0: $tType] : $o ).
tff(pred_def_100,type,
bounded_lattice_top:
!>[X0: $tType] : $o ).
tff(pred_def_101,type,
comm_s4317794764714335236cancel:
!>[X0: $tType] : $o ).
tff(pred_def_102,type,
linord4710134922213307826strict:
!>[X0: $tType] : $o ).
tff(pred_def_103,type,
cancel1802427076303600483id_add:
!>[X0: $tType] : $o ).
tff(pred_def_104,type,
ring_15535105094025558882visors:
!>[X0: $tType] : $o ).
tff(pred_def_105,type,
cancel2418104881723323429up_add:
!>[X0: $tType] : $o ).
tff(pred_def_106,type,
linord5086331880401160121up_add:
!>[X0: $tType] : $o ).
tff(pred_def_107,type,
ordere6911136660526730532id_add:
!>[X0: $tType] : $o ).
tff(pred_def_108,type,
archim2362893244070406136eiling:
!>[X0: $tType] : $o ).
tff(pred_def_109,type,
semiri6843258321239162965malize:
!>[X0: $tType] : $o ).
tff(pred_def_110,type,
ordere166539214618696060dd_abs:
!>[X0: $tType] : $o ).
tff(pred_def_111,type,
ordere6658533253407199908up_add:
!>[X0: $tType] : $o ).
tff(pred_def_112,type,
semiri3467727345109120633visors:
!>[X0: $tType] : $o ).
tff(pred_def_113,type,
boolea8198339166811842893lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_114,type,
linord8928482502909563296strict:
!>[X0: $tType] : $o ).
tff(pred_def_115,type,
semido2269285787275462019factor:
!>[X0: $tType] : $o ).
tff(pred_def_116,type,
euclid5891614535332579305n_ring:
!>[X0: $tType] : $o ).
tff(pred_def_117,type,
linord181362715937106298miring:
!>[X0: $tType] : $o ).
tff(pred_def_118,type,
semiri2026040879449505780visors:
!>[X0: $tType] : $o ).
tff(pred_def_119,type,
bit_ri3973907225187159222ations:
!>[X0: $tType] : $o ).
tff(pred_def_120,type,
comple6319245703460814977attice:
!>[X0: $tType] : $o ).
tff(pred_def_121,type,
linord4140545234300271783up_add:
!>[X0: $tType] : $o ).
tff(pred_def_122,type,
linord715952674999750819strict:
!>[X0: $tType] : $o ).
tff(pred_def_123,type,
archim462609752435547400_field:
!>[X0: $tType] : $o ).
tff(pred_def_124,type,
comple5582772986160207858norder:
!>[X0: $tType] : $o ).
tff(pred_def_125,type,
bounde4346867609351753570nf_top:
!>[X0: $tType] : $o ).
tff(pred_def_126,type,
bounde4967611905675639751up_bot:
!>[X0: $tType] : $o ).
tff(pred_def_127,type,
euclid3725896446679973847miring:
!>[X0: $tType] : $o ).
tff(pred_def_128,type,
canoni5634975068530333245id_add:
!>[X0: $tType] : $o ).
tff(pred_def_129,type,
ordere8940638589300402666id_add:
!>[X0: $tType] : $o ).
tff(pred_def_130,type,
strict7427464778891057005id_add:
!>[X0: $tType] : $o ).
tff(pred_def_131,type,
linord2810124833399127020strict:
!>[X0: $tType] : $o ).
tff(pred_def_132,type,
bit_se359711467146920520ations:
!>[X0: $tType] : $o ).
tff(pred_def_133,type,
ordere2412721322843649153imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_134,type,
ordere580206878836729694up_add:
!>[X0: $tType] : $o ).
tff(pred_def_135,type,
ordere1170586879665033532d_diff:
!>[X0: $tType] : $o ).
tff(pred_def_136,type,
strict9044650504122735259up_add:
!>[X0: $tType] : $o ).
tff(pred_def_137,type,
semiri6575147826004484403cancel:
!>[X0: $tType] : $o ).
tff(pred_def_138,type,
euclid8851590272496341667cancel:
!>[X0: $tType] : $o ).
tff(pred_def_139,type,
unique1627219031080169319umeral:
!>[X0: $tType] : $o ).
tff(pred_def_140,type,
comple489889107523837845lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_141,type,
comple592849572758109894attice:
!>[X0: $tType] : $o ).
tff(pred_def_142,type,
normal6328177297339901930cative:
!>[X0: $tType] : $o ).
tff(pred_def_143,type,
euclid4440199948858584721cancel:
!>[X0: $tType] : $o ).
tff(pred_def_144,type,
euclid3128863361964157862miring:
!>[X0: $tType] : $o ).
tff(pred_def_145,type,
ordere1937475149494474687imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_146,type,
condit5016429287641298734tinuum:
!>[X0: $tType] : $o ).
tff(pred_def_147,type,
euclid8789492081693882211th_nat:
!>[X0: $tType] : $o ).
tff(pred_def_148,type,
euclid5411537665997757685th_nat:
!>[X0: $tType] : $o ).
tff(pred_def_149,type,
semiri1453513574482234551roduct:
!>[X0: $tType] : $o ).
tff(pred_def_150,type,
bit_un5681908812861735899ations:
!>[X0: $tType] : $o ).
tff(pred_def_151,type,
condit1219197933456340205attice:
!>[X0: $tType] : $o ).
tff(pred_def_152,type,
condit6923001295902523014norder:
!>[X0: $tType] : $o ).
tff(pred_def_153,type,
array_noteq:
!>[X0: $tType,X1: $tType] : ( ( array(X0) * array(X1) ) > $o ) ).
tff(pred_def_154,type,
bNF_Ca3754400796208372196lChain:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > $o ) ).
tff(pred_def_155,type,
bNF_Wellorder_embed:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).
tff(pred_def_156,type,
bNF_Wellorder_embedS:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).
tff(pred_def_157,type,
bNF_Wellorder_iso:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * set(product_prod(X1,X1)) * fun(X0,X1) ) > $o ) ).
tff(pred_def_158,type,
bNF_Wellorder_wo_rel:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).
tff(pred_def_159,type,
boolea2506097494486148201lgebra:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).
tff(pred_def_160,type,
boolea6902313364301356556axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).
tff(pred_def_161,type,
boolea3799213064322606851m_diff:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 * fun(X0,fun(X0,X0)) ) > $o ) ).
tff(pred_def_162,type,
boolea5476839437570043046axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * fun(X0,fun(X0,X0)) ) > $o ) ).
tff(pred_def_163,type,
comple1908693960933563346ssible:
!>[X0: $tType] : ( ( fun(set(X0),X0) * fun(X0,fun(X0,bool)) * fun(X0,bool) ) > $o ) ).
tff(pred_def_164,type,
comple1602240252501008431_chain:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).
tff(pred_def_165,type,
comple7038119648293358887notone:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,fun(X1,bool)) * fun(X0,X1) ) > $o ) ).
tff(pred_def_166,type,
condit622319405099724424ng_bdd:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_167,type,
eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).
tff(pred_def_168,type,
unique5940410009612947441es_aux:
!>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).
tff(pred_def_169,type,
finite_folding_on:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).
tff(pred_def_170,type,
bij_betw:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).
tff(pred_def_171,type,
inj_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).
tff(pred_def_172,type,
fun_is_measure:
!>[X0: $tType] : ( fun(X0,nat) > $o ) ).
tff(pred_def_173,type,
fun_reduction_pair:
!>[X0: $tType] : ( product_prod(set(product_prod(X0,X0)),set(product_prod(X0,X0))) > $o ) ).
tff(pred_def_174,type,
bounde8507323023520639062attice:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).
tff(pred_def_175,type,
bounde6485984586167503788ce_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * X0 * fun(X0,X0) ) > $o ) ).
tff(pred_def_176,type,
abel_semigroup:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_177,type,
abel_s757365448890700780axioms:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_178,type,
comm_monoid:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_179,type,
comm_monoid_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_180,type,
group:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).
tff(pred_def_181,type,
group_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,X0) ) > $o ) ).
tff(pred_def_182,type,
monoid:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_183,type,
monoid_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_184,type,
semigroup:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_185,type,
groups778175481326437816id_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_186,type,
groups1828464146339083142d_list:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_187,type,
groups4802862169904069756st_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_188,type,
groups_monoid_list:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_189,type,
nO_MATCH:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(pred_def_190,type,
uniq:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_191,type,
heap_Time_effect:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) * heap_ext(product_unit) * X0 * nat ) > $o ) ).
tff(pred_def_192,type,
heap_Time_success:
!>[X0: $tType] : ( ( heap_Time_Heap(X0) * heap_ext(product_unit) ) > $o ) ).
tff(pred_def_193,type,
hilbert_bijection:
!>[X0: $tType] : ( fun(X0,X0) > $o ) ).
tff(pred_def_194,type,
semilattice:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_195,type,
semilattice_axioms:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_196,type,
semilattice_neutr:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_197,type,
semila1105856199041335345_order:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_198,type,
semilattice_order:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_199,type,
semila6385135966242565138axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_200,type,
lattic5652469242046573047tr_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_201,type,
lattic3600114342068043075tr_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_202,type,
lattic4895041142388067077er_set:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_203,type,
lattic149705377957585745ce_set:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_204,type,
quotient:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,X1) * fun(X1,X0) * fun(X0,fun(X1,bool)) ) > $o ) ).
tff(pred_def_205,type,
distinct:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_206,type,
folding_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * set(X1) * fun(X1,X0) ) > $o ) ).
tff(pred_def_207,type,
list_all:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_208,type,
list_ex:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_209,type,
ord_lexordp_eq:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > $o ) ).
tff(pred_def_210,type,
sorted_wrt:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > $o ) ).
tff(pred_def_211,type,
neg_numeral_is_num:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_212,type,
ring_1_iszero:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_213,type,
order_ofilter:
!>[X0: $tType] : ( ( set(product_prod(X0,X0)) * set(X0) ) > $o ) ).
tff(pred_def_214,type,
order_well_order_on:
!>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).
tff(pred_def_215,type,
order_antimono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_216,type,
ordering:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_217,type,
ordering_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_218,type,
ordering_top:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) * X0 ) > $o ) ).
tff(pred_def_219,type,
ordering_top_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).
tff(pred_def_220,type,
partial_preordering:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).
tff(pred_def_221,type,
preordering:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_222,type,
preordering_axioms:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,fun(X0,bool)) ) > $o ) ).
tff(pred_def_223,type,
partia7178651479351089652itions:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(set(X0),X0) ) > $o ) ).
tff(pred_def_224,type,
quotient3:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X0,X1) * fun(X1,X0) ) > $o ) ).
tff(pred_def_225,type,
powp:
!>[X0: $tType] : ( ( fun(X0,bool) * set(X0) ) > $o ) ).
tff(pred_def_226,type,
irreflp:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).
tff(pred_def_227,type,
transp:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > $o ) ).
tff(pred_def_228,type,
algebr8660921524188924756oprime:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_229,type,
disjnt:
!>[X0: $tType] : ( ( set(X0) * set(X0) ) > $o ) ).
tff(pred_def_230,type,
is_singleton:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_231,type,
bi_total:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > $o ) ).
tff(pred_def_232,type,
type_definition:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * set(X1) ) > $o ) ).
tff(pred_def_233,type,
accp:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * X0 ) > $o ) ).
tff(pred_def_234,type,
wf:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).
tff(pred_def_235,type,
chain_subset:
!>[X0: $tType] : ( set(set(X0)) > $o ) ).
tff(pred_def_236,type,
pred_maxchain:
!>[X0: $tType] : ( ( set(X0) * fun(X0,fun(X0,bool)) * set(X0) ) > $o ) ).
tff(pred_def_237,type,
pp: bool > $o ).
tff(pred_def_239,type,
sP0: ( int * bool * int * bool ) > $o ).
tff(pred_def_240,type,
sP1: ( bool * int * bool * int ) > $o ).
tff(pred_def_241,type,
sP2:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_242,type,
sP3:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_243,type,
sP4:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_244,type,
sP5:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_245,type,
sP6:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_246,type,
sP7:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_247,type,
sP8:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_248,type,
sP9:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > $o ) ).
tff(pred_def_249,type,
sP10:
!>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).
tff(pred_def_250,type,
sP11:
!>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).
tff(pred_def_251,type,
sP12:
!>[X0: $tType] : ( ( X0 * X0 * X0 ) > $o ) ).
tff(f1,axiom,
heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
tff(f2,axiom,
( ( r = aa(array(a),nat,array_length(a,h2),a2) )
=> ( ( h2 = h )
=> ( ( n = one_one(nat) )
=> thesis ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_that) ).
tff(f3,axiom,
! [X0: $tType] :
( heap(X0)
=> ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
( ( X1 = X2 )
=> ( ( X3 = aa(array(X0),nat,array_length(X0,X2),X4) )
=> ( ( X5 = one_one(nat) )
=> heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_effect__lengthI) ).
tff(f21,axiom,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( heap_Time_effect(X0,X1,X2,X3,X4,X5)
=> ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
=> ( X5 = X8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_effect__deterministic_I3_J) ).
tff(f22,axiom,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( heap_Time_effect(X0,X1,X2,X3,X4,X5)
=> ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
=> ( X3 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_effect__deterministic_I2_J) ).
tff(f23,axiom,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( heap_Time_effect(X0,X1,X2,X3,X4,X5)
=> ( heap_Time_effect(X0,X1,X2,X6,X7,X8)
=> ( X4 = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_effect__deterministic_I1_J) ).
tff(f8378,axiom,
heap(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
tff(f8380,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f8381,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f8380]) ).
tff(f8382,plain,
~ thesis,
inference(flattening,[],[f8381]) ).
tff(f8395,plain,
( thesis
| ( n != one_one(nat) )
| ( h != h2 )
| ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f8396,plain,
( thesis
| ( n != one_one(nat) )
| ( h != h2 )
| ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
inference(flattening,[],[f8395]) ).
tff(f8412,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X4 = X7 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f23]) ).
tff(f8413,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X4 = X7 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(flattening,[],[f8412]) ).
tff(f8414,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X3 = X6 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f22]) ).
tff(f8415,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X3 = X6 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(flattening,[],[f8414]) ).
tff(f8416,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X5 = X8 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f21]) ).
tff(f8417,plain,
! [X0: $tType,X1: heap_Time_Heap(X0),X2: heap_ext(product_unit),X3: heap_ext(product_unit),X4: X0,X5: nat,X6: heap_ext(product_unit),X7: X0,X8: nat] :
( ( X5 = X8 )
| ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(flattening,[],[f8416]) ).
tff(f8421,plain,
! [X0: $tType] :
( ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
| ( one_one(nat) != X5 )
| ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
| ( X1 != X2 ) )
| ~ heap(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f8422,plain,
! [X0: $tType] :
( ! [X1: heap_ext(product_unit),X2: heap_ext(product_unit),X3: nat,X4: array(X0),X5: nat] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
| ( one_one(nat) != X5 )
| ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
| ( X1 != X2 ) )
| ~ heap(X0) ),
inference(flattening,[],[f8421]) ).
tff(f8702,plain,
heap(a),
inference(cnf_transformation,[],[f8378]) ).
tff(f8703,plain,
~ thesis,
inference(cnf_transformation,[],[f8382]) ).
tff(f8711,plain,
( thesis
| ( n != one_one(nat) )
| ( h != h2 )
| ( r != aa(array(a),nat,array_length(a,h2),a2) ) ),
inference(cnf_transformation,[],[f8396]) ).
tff(f8712,plain,
heap_Time_effect(nat,array_len(a,a2),h,h2,r,n),
inference(cnf_transformation,[],[f1]) ).
tff(f8753,plain,
! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ( X4 = X7 )
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8413]) ).
tff(f8754,plain,
! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ( X3 = X6 )
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8415]) ).
tff(f8755,plain,
! [X0: $tType,X2: heap_ext(product_unit),X3: heap_ext(product_unit),X1: heap_Time_Heap(X0),X8: nat,X6: heap_ext(product_unit),X7: X0,X4: X0,X5: nat] :
( ~ heap_Time_effect(X0,X1,X2,X6,X7,X8)
| ( X5 = X8 )
| ~ heap_Time_effect(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f8417]) ).
tff(f8759,plain,
! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X1: heap_ext(product_unit),X4: array(X0),X5: nat] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,X5)
| ( one_one(nat) != X5 )
| ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
| ( X1 != X2 )
| ~ heap(X0) ),
inference(cnf_transformation,[],[f8422]) ).
tff(f9023,plain,
! [X0: $tType,X2: heap_ext(product_unit),X3: nat,X1: heap_ext(product_unit),X4: array(X0)] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X1,X3,one_one(nat))
| ( aa(array(X0),nat,array_length(X0,X2),X4) != X3 )
| ( X1 != X2 )
| ~ heap(X0) ),
inference(equality_resolution,[],[f8759]) ).
tff(f9024,plain,
! [X0: $tType,X2: heap_ext(product_unit),X1: heap_ext(product_unit),X4: array(X0)] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X1,aa(array(X0),nat,array_length(X0,X2),X4),one_one(nat))
| ( X1 != X2 )
| ~ heap(X0) ),
inference(equality_resolution,[],[f9023]) ).
tff(f9025,plain,
! [X0: $tType,X2: heap_ext(product_unit),X4: array(X0)] :
( heap_Time_effect(nat,array_len(X0,X4),X2,X2,aa(array(X0),nat,array_length(X0,X2),X4),one_one(nat))
| ~ heap(X0) ),
inference(equality_resolution,[],[f9024]) ).
tff(f9066,definition,
( spl81_3
<=> ( r = aa(array(a),nat,array_length(a,h2),a2) ) ),
introduced(definition,[new_symbols(definition,[spl81_3])],[avatar_definition]) ).
tff(f9068,plain,
( ( r != aa(array(a),nat,array_length(a,h2),a2) )
| spl81_3 ),
inference(avatar_component_clause,[],[f9066]) ).
tff(f9070,definition,
( spl81_4
<=> ( h = h2 ) ),
introduced(definition,[new_symbols(definition,[spl81_4])],[avatar_definition]) ).
tff(f9071,plain,
( ( h = h2 )
| ~ spl81_4 ),
inference(avatar_component_clause,[],[f9070]) ).
tff(f9074,definition,
( spl81_5
<=> ( n = one_one(nat) ) ),
introduced(definition,[new_symbols(definition,[spl81_5])],[avatar_definition]) ).
tff(f9078,definition,
( spl81_6
<=> thesis ),
introduced(definition,[new_symbols(definition,[spl81_6])],[avatar_definition]) ).
tff(f9081,plain,
( ~ spl81_3
| ~ spl81_4
| ~ spl81_5
| spl81_6 ),
inference(avatar_split_clause,[],[f8711,f9078,f9074,f9070,f9066]) ).
tff(f9082,plain,
~ spl81_6,
inference(avatar_split_clause,[],[f8703,f9078]) ).
tff(f9092,plain,
! [X2: nat,X0: nat,X1: heap_ext(product_unit)] :
( ~ heap_Time_effect(nat,array_len(a,a2),h,X1,X0,X2)
| ( r = X0 ) ),
inference(resolution,[],[f8753,f8712]) ).
tff(f9094,plain,
! [X2: nat,X0: nat,X1: heap_ext(product_unit)] :
( ~ heap_Time_effect(nat,array_len(a,a2),h,X1,X2,X0)
| ( n = X0 ) ),
inference(resolution,[],[f8755,f8712]) ).
tff(f9097,plain,
! [X2: nat,X0: heap_ext(product_unit),X1: nat] :
( ~ heap_Time_effect(nat,array_len(a,a2),h,X0,X1,X2)
| ( h2 = X0 ) ),
inference(resolution,[],[f8754,f8712]) ).
tff(f9189,plain,
( ~ heap(a)
| ( h = h2 ) ),
inference(resolution,[],[f9025,f9097]) ).
tff(f9190,plain,
( ~ heap(a)
| ( n = one_one(nat) ) ),
inference(resolution,[],[f9025,f9094]) ).
tff(f9191,plain,
( ~ heap(a)
| ( r = aa(array(a),nat,array_length(a,h),a2) ) ),
inference(resolution,[],[f9025,f9092]) ).
tff(f9196,plain,
r = aa(array(a),nat,array_length(a,h),a2),
inference(forward_subsumption_resolution,[],[f9191,f8702]) ).
tff(f9197,plain,
n = one_one(nat),
inference(forward_subsumption_resolution,[],[f9190,f8702]) ).
tff(f9198,plain,
h = h2,
inference(forward_subsumption_resolution,[],[f9189,f8702]) ).
tff(f9199,plain,
spl81_5,
inference(avatar_split_clause,[],[f9197,f9074]) ).
tff(f9200,plain,
spl81_4,
inference(avatar_split_clause,[],[f9198,f9070]) ).
tff(f9201,plain,
( ( r != aa(array(a),nat,array_length(a,h),a2) )
| spl81_3
| ~ spl81_4 ),
inference(superposition,[],[f9068,f9071]) ).
tff(f9203,plain,
( $false
| spl81_3
| ~ spl81_4 ),
inference(forward_subsumption_resolution,[],[f9201,f9196]) ).
tff(f9204,plain,
( spl81_3
| ~ spl81_4 ),
inference(avatar_contradiction_clause,[],[f9203]) ).
cnf(s3,plain,
( ~ spl81_3
| ~ spl81_4
| ~ spl81_5
| spl81_6 ),
inference(sat_conversion,[],[f9081]) ).
cnf(s4,plain,
~ spl81_6,
inference(sat_conversion,[],[f9082]) ).
cnf(s13,plain,
spl81_5,
inference(sat_conversion,[],[f9199]) ).
cnf(s14,plain,
spl81_4,
inference(sat_conversion,[],[f9200]) ).
cnf(s15,plain,
( spl81_3
| ~ spl81_4 ),
inference(sat_conversion,[],[f9204]) ).
cnf(s16,plain,
spl81_3,
inference(rat,[],[s15,s14]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s3,s4,s13,s14,s16]) ).
tff(f9205,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP208_2 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 % Computer : n019.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Sun Sep 27 12:23:04 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/2.79 % (3013184)Detected formulas, will run a generic FOF schedule.
% 2.67/2.79 % (3013195)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=330324892:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 2.67/2.79 % (3013197)dis-21_1_sil=8000:lcm=predicate:random_seed=1849592057:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 2.67/2.79 % (3013195)Instruction limit reached!
% 2.67/2.79 % (3013195)------------------------------
% 2.67/2.79 % (3013195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013195)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013195)Termination reason: Instruction limit
% 2.67/2.79 % (3013195)Termination phase: Preprocessing 3
% 2.67/2.79 % (3013195)Time elapsed: 0.063 s
% 2.67/2.79 % (3013195)Peak memory usage: 96 MB
% 2.67/2.79 % (3013195)Instructions burned: 119 (million)
% 2.67/2.79 % (3013191)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=3861674091:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 2.67/2.79 % (3013193)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=3155936844:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 2.67/2.79 % (3013192)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=1131523238:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 2.67/2.79 % (3013194)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1907019417:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 2.67/2.79 % (3013196)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2257583727:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 2.67/2.79 % (3013194)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.67/2.79 % (3013194)Refutation not found, incomplete strategy
% 2.67/2.79 % (3013194)------------------------------
% 2.67/2.79 % (3013194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013194)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013194)Termination reason: Refutation not found, incomplete strategy
% 2.67/2.79 % (3013194)Time elapsed: 0.071 s
% 2.67/2.79 % (3013194)Peak memory usage: 97 MB
% 2.67/2.79 % (3013194)Instructions burned: 67 (million)
% 2.67/2.79 % (3013197)Instruction limit reached!
% 2.67/2.79 % (3013197)------------------------------
% 2.67/2.79 % (3013197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013197)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013197)Termination reason: Instruction limit
% 2.67/2.79 % (3013197)Termination phase: Preprocessing 1
% 2.67/2.79 % (3013197)Time elapsed: 0.129 s
% 2.67/2.79 % (3013197)Peak memory usage: 94 MB
% 2.67/2.79 % (3013197)Instructions burned: 129 (million)
% 2.67/2.79 % (3013196)Instruction limit reached!
% 2.67/2.79 % (3013196)------------------------------
% 2.67/2.79 % (3013196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013196)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013196)Termination reason: Instruction limit
% 2.67/2.79 % (3013196)Termination phase: Property scanning
% 2.67/2.79 % (3013196)Time elapsed: 0.105 s
% 2.67/2.79 % (3013196)Peak memory usage: 94 MB
% 2.67/2.79 % (3013196)Instructions burned: 140 (million)
% 2.67/2.79 % (3013200)lrs+10_1_sil=8000:sp=occurrence:random_seed=2876109779:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 2.67/2.79 % (3013200)First to succeed.
% 2.67/2.79 % (3013200)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3013184"
% 2.67/2.79 % (3013206)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1895035433:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 2.67/2.79 % (3013207)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3181160177:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 2.67/2.79 % (3013194)------------------------------
% 2.67/2.79 % (3013194)------------------------------
% 2.67/2.79 % (3013206)Instruction limit reached!
% 2.67/2.79 % (3013206)------------------------------
% 2.67/2.79 % (3013206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013206)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013206)Termination reason: Instruction limit
% 2.67/2.79 % (3013206)Termination phase: Property scanning
% 2.67/2.79 % (3013206)Time elapsed: 0.123 s
% 2.67/2.79 % (3013206)Peak memory usage: 94 MB
% 2.67/2.79 % (3013206)Instructions burned: 159 (million)
% 2.67/2.79 % (3013207)Refutation not found, incomplete strategy
% 2.67/2.79 % (3013207)------------------------------
% 2.67/2.79 % (3013207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/2.79 % (3013207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/2.79 % (3013207)CaDiCaL version: 2.1.3
% 2.67/2.79 % (3013207)Termination reason: Refutation not found, incomplete strategy
% 2.67/2.79 % (3013207)Time elapsed: 0.075 s
% 2.67/2.79 % (3013207)Peak memory usage: 98 MB
% 2.67/2.79 % (3013207)Instructions burned: 66 (million)
% 2.67/2.79 % (3013200)Refutation found. Thanks to Tanya!
% 2.67/2.79 % SZS status Theorem for theBenchmark
% 2.67/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 7.40/3.08 % (3013200)------------------------------
% 7.40/3.08 % (3013200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/3.08 % (3013200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/3.08 % (3013200)CaDiCaL version: 2.1.3
% 7.40/3.08 % (3013200)Termination reason: Refutation
% 7.40/3.08 % (3013200)Time elapsed: 0.091 s
% 7.40/3.08 % (3013200)Peak memory usage: 99 MB
% 7.40/3.08 % (3013200)Instructions burned: 125 (million)
% 7.40/3.08 % (3013200)------------------------------
% 7.40/3.08 % (3013200)------------------------------
% 7.40/3.08 % (3013184)Success in time 1.758 s
% 7.40/3.08 % Vampire exiting
%------------------------------------------------------------------------------