%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP251_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 : n016.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 11:31:53 AM UTC 2026
% Result : Theorem 31.65s 6.51s
% Output : Refutation 33.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 18 unt; 0 typ; 4 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 34 ~; 28 |; 1 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 230 ( 229 usr; 5 prp; 0-7 aty)
% Number of functors : 1387 (1387 usr; 77 con; 0-8 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vEBT_VEBT: $tType ).
tff(type_def_6,type,
code_integer: $tType ).
tff(type_def_7,type,
product_unit: $tType ).
tff(type_def_8,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(type_def_9,type,
extended_enat: $tType ).
tff(type_def_10,type,
complex: $tType ).
tff(type_def_11,type,
option: $tType > $tType ).
tff(type_def_12,type,
filter: $tType > $tType ).
tff(type_def_13,type,
char: $tType ).
tff(type_def_14,type,
real: $tType ).
tff(type_def_15,type,
list: $tType > $tType ).
tff(type_def_16,type,
bool: $tType ).
tff(type_def_17,type,
set: $tType > $tType ).
tff(type_def_18,type,
rat: $tType ).
tff(type_def_19,type,
num: $tType ).
tff(type_def_20,type,
nat: $tType ).
tff(type_def_21,type,
int: $tType ).
tff(type_def_22,type,
fun: ( $tType * $tType ) > $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_aaa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_3,type,
aTP_Lamp_aab:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_4,type,
aTP_Lamp_aac:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_5,type,
aTP_Lamp_aad:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_6,type,
aTP_Lamp_aae:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_7,type,
aTP_Lamp_aaf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_8,type,
aTP_Lamp_aag:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_9,type,
aTP_Lamp_aah:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_10,type,
aTP_Lamp_aai:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_11,type,
aTP_Lamp_aaj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_12,type,
aTP_Lamp_aak:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_13,type,
aTP_Lamp_aal:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_14,type,
aTP_Lamp_aam:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_15,type,
aTP_Lamp_aan:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_16,type,
aTP_Lamp_aao:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_17,type,
aTP_Lamp_aap:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_18,type,
aTP_Lamp_aaq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_19,type,
aTP_Lamp_aar:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_20,type,
aTP_Lamp_aas:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_21,type,
aTP_Lamp_aat:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_22,type,
aTP_Lamp_aau:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_23,type,
aTP_Lamp_aav:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_24,type,
aTP_Lamp_aaw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_25,type,
aTP_Lamp_aax:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_26,type,
aTP_Lamp_aay:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_27,type,
aTP_Lamp_aaz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_28,type,
aTP_Lamp_ab:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_29,type,
aTP_Lamp_aba:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_30,type,
aTP_Lamp_abb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_31,type,
aTP_Lamp_abc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_32,type,
aTP_Lamp_abd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_33,type,
aTP_Lamp_abe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_34,type,
aTP_Lamp_abf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_35,type,
aTP_Lamp_abg:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_36,type,
aTP_Lamp_abh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_37,type,
aTP_Lamp_abi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_38,type,
aTP_Lamp_abj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_39,type,
aTP_Lamp_abk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_40,type,
aTP_Lamp_abl:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_41,type,
aTP_Lamp_abm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_42,type,
aTP_Lamp_abn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_43,type,
aTP_Lamp_abo:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_44,type,
aTP_Lamp_abp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_45,type,
aTP_Lamp_abq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_46,type,
aTP_Lamp_abr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_47,type,
aTP_Lamp_abs:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_48,type,
aTP_Lamp_abt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_49,type,
aTP_Lamp_abu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_50,type,
aTP_Lamp_abv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_51,type,
aTP_Lamp_abw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_52,type,
aTP_Lamp_abx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_53,type,
aTP_Lamp_aby:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_54,type,
aTP_Lamp_abz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_55,type,
aTP_Lamp_ac:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_56,type,
aTP_Lamp_aca:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_57,type,
aTP_Lamp_acb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_58,type,
aTP_Lamp_acc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_59,type,
aTP_Lamp_acd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_60,type,
aTP_Lamp_ace:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_61,type,
aTP_Lamp_acf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_62,type,
aTP_Lamp_acg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_63,type,
aTP_Lamp_ach:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_64,type,
aTP_Lamp_aci:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_65,type,
aTP_Lamp_acj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_66,type,
aTP_Lamp_ack:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_67,type,
aTP_Lamp_acl:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_68,type,
aTP_Lamp_acm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_69,type,
aTP_Lamp_acn:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_70,type,
aTP_Lamp_aco:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_71,type,
aTP_Lamp_acp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_72,type,
aTP_Lamp_acq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_73,type,
aTP_Lamp_acr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_74,type,
aTP_Lamp_acs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_75,type,
aTP_Lamp_act:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_76,type,
aTP_Lamp_acu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_77,type,
aTP_Lamp_acv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_78,type,
aTP_Lamp_acw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_79,type,
aTP_Lamp_acx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_80,type,
aTP_Lamp_acy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_81,type,
aTP_Lamp_acz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_82,type,
aTP_Lamp_ad:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_83,type,
aTP_Lamp_ada:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_84,type,
aTP_Lamp_adb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_85,type,
aTP_Lamp_adc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_86,type,
aTP_Lamp_add:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_87,type,
aTP_Lamp_ade:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_88,type,
aTP_Lamp_adf:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_89,type,
aTP_Lamp_adg:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_90,type,
aTP_Lamp_adh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_91,type,
aTP_Lamp_adi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_92,type,
aTP_Lamp_adj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_93,type,
aTP_Lamp_adk:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_94,type,
aTP_Lamp_adl:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_95,type,
aTP_Lamp_adm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_96,type,
aTP_Lamp_adn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_97,type,
aTP_Lamp_ado:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_98,type,
aTP_Lamp_adp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_99,type,
aTP_Lamp_adq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_100,type,
aTP_Lamp_adr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_101,type,
aTP_Lamp_ads:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_102,type,
aTP_Lamp_adt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_103,type,
aTP_Lamp_adu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_104,type,
aTP_Lamp_adv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_105,type,
aTP_Lamp_adw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_106,type,
aTP_Lamp_adx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_107,type,
aTP_Lamp_ady:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_108,type,
aTP_Lamp_adz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_109,type,
aTP_Lamp_ae:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_110,type,
aTP_Lamp_aea:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_111,type,
aTP_Lamp_aeb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_112,type,
aTP_Lamp_aec:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_113,type,
aTP_Lamp_aed:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_114,type,
aTP_Lamp_aee:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_115,type,
aTP_Lamp_aef:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_116,type,
aTP_Lamp_aeg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_117,type,
aTP_Lamp_aeh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_118,type,
aTP_Lamp_aei:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_119,type,
aTP_Lamp_aej:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_120,type,
aTP_Lamp_aek:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_121,type,
aTP_Lamp_ael:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_122,type,
aTP_Lamp_aem:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_123,type,
aTP_Lamp_aen:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_124,type,
aTP_Lamp_aeo:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_125,type,
aTP_Lamp_aep:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_126,type,
aTP_Lamp_aeq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_127,type,
aTP_Lamp_aer:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_128,type,
aTP_Lamp_aes:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_129,type,
aTP_Lamp_aet:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_130,type,
aTP_Lamp_aeu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_131,type,
aTP_Lamp_aev:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_132,type,
aTP_Lamp_aew:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_133,type,
aTP_Lamp_aex:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_134,type,
aTP_Lamp_aey:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_135,type,
aTP_Lamp_aez:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_136,type,
aTP_Lamp_af:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_137,type,
aTP_Lamp_afa:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_138,type,
aTP_Lamp_afb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_139,type,
aTP_Lamp_afc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_140,type,
aTP_Lamp_afd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_141,type,
aTP_Lamp_afe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_142,type,
aTP_Lamp_aff:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_143,type,
aTP_Lamp_afg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_144,type,
aTP_Lamp_afh:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_145,type,
aTP_Lamp_afi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_146,type,
aTP_Lamp_afj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_147,type,
aTP_Lamp_afk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_148,type,
aTP_Lamp_afl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_149,type,
aTP_Lamp_afm:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_150,type,
aTP_Lamp_afn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_151,type,
aTP_Lamp_afo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_152,type,
aTP_Lamp_afp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_153,type,
aTP_Lamp_afq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_154,type,
aTP_Lamp_afr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_155,type,
aTP_Lamp_afs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_156,type,
aTP_Lamp_aft:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_157,type,
aTP_Lamp_afu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_158,type,
aTP_Lamp_afv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_159,type,
aTP_Lamp_afw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_160,type,
aTP_Lamp_afx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_161,type,
aTP_Lamp_afy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_162,type,
aTP_Lamp_afz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_163,type,
aTP_Lamp_ag:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_164,type,
aTP_Lamp_aga:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_165,type,
aTP_Lamp_agb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_166,type,
aTP_Lamp_agc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_167,type,
aTP_Lamp_agd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_168,type,
aTP_Lamp_age:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_169,type,
aTP_Lamp_agf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_170,type,
aTP_Lamp_agg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_171,type,
aTP_Lamp_agh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_172,type,
aTP_Lamp_agi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_173,type,
aTP_Lamp_agj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_174,type,
aTP_Lamp_agk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_175,type,
aTP_Lamp_agl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_176,type,
aTP_Lamp_agm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_177,type,
aTP_Lamp_agn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_178,type,
aTP_Lamp_ago:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_179,type,
aTP_Lamp_agp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_180,type,
aTP_Lamp_agq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_181,type,
aTP_Lamp_agr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_182,type,
aTP_Lamp_ags:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_183,type,
aTP_Lamp_agt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_184,type,
aTP_Lamp_agu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_185,type,
aTP_Lamp_agv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_186,type,
aTP_Lamp_agw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_187,type,
aTP_Lamp_agx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_188,type,
aTP_Lamp_agy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_189,type,
aTP_Lamp_agz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_190,type,
aTP_Lamp_ah:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_191,type,
aTP_Lamp_aha:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_192,type,
aTP_Lamp_ahb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_193,type,
aTP_Lamp_ahc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_194,type,
aTP_Lamp_ahd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_195,type,
aTP_Lamp_ahe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_196,type,
aTP_Lamp_ahf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_197,type,
aTP_Lamp_ahg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_198,type,
aTP_Lamp_ahh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_199,type,
aTP_Lamp_ahi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_200,type,
aTP_Lamp_ahj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_201,type,
aTP_Lamp_ahk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_202,type,
aTP_Lamp_ahl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_203,type,
aTP_Lamp_ahm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_204,type,
aTP_Lamp_ahn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_205,type,
aTP_Lamp_aho:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_206,type,
aTP_Lamp_ahp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_207,type,
aTP_Lamp_ahq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_208,type,
aTP_Lamp_ahr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_209,type,
aTP_Lamp_ahs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_210,type,
aTP_Lamp_aht:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_211,type,
aTP_Lamp_ahu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_212,type,
aTP_Lamp_ahv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_213,type,
aTP_Lamp_ahw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_214,type,
aTP_Lamp_ai:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_215,type,
aTP_Lamp_aj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_216,type,
aTP_Lamp_ak:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_217,type,
aTP_Lamp_al:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_218,type,
aTP_Lamp_am:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_219,type,
aTP_Lamp_an:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_220,type,
aTP_Lamp_ao:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_221,type,
aTP_Lamp_ap:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_222,type,
aTP_Lamp_aq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_223,type,
aTP_Lamp_ar:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_224,type,
aTP_Lamp_as:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_225,type,
aTP_Lamp_at:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_226,type,
aTP_Lamp_au:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_227,type,
aTP_Lamp_av:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_228,type,
aTP_Lamp_aw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_229,type,
aTP_Lamp_ax:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_230,type,
aTP_Lamp_ay:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_231,type,
aTP_Lamp_az:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_232,type,
aTP_Lamp_ba:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_233,type,
aTP_Lamp_bb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_234,type,
aTP_Lamp_bc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_235,type,
aTP_Lamp_bd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_236,type,
aTP_Lamp_be:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_237,type,
aTP_Lamp_bf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_238,type,
aTP_Lamp_bg:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_239,type,
aTP_Lamp_bh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_240,type,
aTP_Lamp_bi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_241,type,
aTP_Lamp_bj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_242,type,
aTP_Lamp_bk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_243,type,
aTP_Lamp_bl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_244,type,
aTP_Lamp_bm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_245,type,
aTP_Lamp_bn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_246,type,
aTP_Lamp_bo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_247,type,
aTP_Lamp_bp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_248,type,
aTP_Lamp_bq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_249,type,
aTP_Lamp_br:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_250,type,
aTP_Lamp_bs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_251,type,
aTP_Lamp_bt:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_252,type,
aTP_Lamp_bu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_253,type,
aTP_Lamp_bv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_254,type,
aTP_Lamp_bw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_255,type,
aTP_Lamp_bx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_256,type,
aTP_Lamp_by:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_257,type,
aTP_Lamp_bz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_258,type,
aTP_Lamp_ca:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_259,type,
aTP_Lamp_cb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_260,type,
aTP_Lamp_cc:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_261,type,
aTP_Lamp_cd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_262,type,
aTP_Lamp_ce:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_263,type,
aTP_Lamp_cf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_264,type,
aTP_Lamp_cg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_265,type,
aTP_Lamp_ch:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_266,type,
aTP_Lamp_ci:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_267,type,
aTP_Lamp_cj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_268,type,
aTP_Lamp_ck:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_269,type,
aTP_Lamp_cl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_270,type,
aTP_Lamp_cm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_271,type,
aTP_Lamp_cn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_272,type,
aTP_Lamp_co:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_273,type,
aTP_Lamp_cp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_274,type,
aTP_Lamp_cq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_275,type,
aTP_Lamp_cr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_276,type,
aTP_Lamp_cs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_277,type,
aTP_Lamp_ct:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_278,type,
aTP_Lamp_cu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_279,type,
aTP_Lamp_cv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_280,type,
aTP_Lamp_cw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_281,type,
aTP_Lamp_cx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_282,type,
aTP_Lamp_cy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_283,type,
aTP_Lamp_cz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_284,type,
aTP_Lamp_da:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_285,type,
aTP_Lamp_db:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_286,type,
aTP_Lamp_dc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_287,type,
aTP_Lamp_dd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_288,type,
aTP_Lamp_de:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_289,type,
aTP_Lamp_df:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_290,type,
aTP_Lamp_dg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_291,type,
aTP_Lamp_dh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_292,type,
aTP_Lamp_di:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_293,type,
aTP_Lamp_dj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_294,type,
aTP_Lamp_dk:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_295,type,
aTP_Lamp_dl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_296,type,
aTP_Lamp_dm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_297,type,
aTP_Lamp_dn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_298,type,
aTP_Lamp_do:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_299,type,
aTP_Lamp_dp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_300,type,
aTP_Lamp_dq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_301,type,
aTP_Lamp_dr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_302,type,
aTP_Lamp_ds:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_303,type,
aTP_Lamp_dt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_304,type,
aTP_Lamp_du:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_305,type,
aTP_Lamp_dv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_306,type,
aTP_Lamp_dw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_307,type,
aTP_Lamp_dx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_308,type,
aTP_Lamp_dy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_309,type,
aTP_Lamp_dz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_310,type,
aTP_Lamp_ea:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_311,type,
aTP_Lamp_eb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_312,type,
aTP_Lamp_ec:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_313,type,
aTP_Lamp_ed:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_314,type,
aTP_Lamp_ee:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_315,type,
aTP_Lamp_ef:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_316,type,
aTP_Lamp_eg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_317,type,
aTP_Lamp_eh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_318,type,
aTP_Lamp_ei:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_319,type,
aTP_Lamp_ej:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_320,type,
aTP_Lamp_ek:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_321,type,
aTP_Lamp_el:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_322,type,
aTP_Lamp_em:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_323,type,
aTP_Lamp_en:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_324,type,
aTP_Lamp_eo:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_325,type,
aTP_Lamp_ep:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_326,type,
aTP_Lamp_eq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_327,type,
aTP_Lamp_er:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_328,type,
aTP_Lamp_es:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_329,type,
aTP_Lamp_et:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_330,type,
aTP_Lamp_eu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_331,type,
aTP_Lamp_ev:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_332,type,
aTP_Lamp_ew:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_333,type,
aTP_Lamp_ex:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_334,type,
aTP_Lamp_ey:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_335,type,
aTP_Lamp_ez:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_336,type,
aTP_Lamp_fa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_337,type,
aTP_Lamp_fb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_338,type,
aTP_Lamp_fc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_339,type,
aTP_Lamp_fd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_340,type,
aTP_Lamp_fe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_341,type,
aTP_Lamp_ff:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_342,type,
aTP_Lamp_fg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_343,type,
aTP_Lamp_fh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_344,type,
aTP_Lamp_fi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_345,type,
aTP_Lamp_fj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_346,type,
aTP_Lamp_fk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_347,type,
aTP_Lamp_fl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_348,type,
aTP_Lamp_fm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_349,type,
aTP_Lamp_fn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_350,type,
aTP_Lamp_fo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_351,type,
aTP_Lamp_fp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_352,type,
aTP_Lamp_fq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_353,type,
aTP_Lamp_fr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_354,type,
aTP_Lamp_fs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_355,type,
aTP_Lamp_ft:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_356,type,
aTP_Lamp_fu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_357,type,
aTP_Lamp_fv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_358,type,
aTP_Lamp_fw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_359,type,
aTP_Lamp_fx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_360,type,
aTP_Lamp_fy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_361,type,
aTP_Lamp_fz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_362,type,
aTP_Lamp_ga:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_363,type,
aTP_Lamp_gb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_364,type,
aTP_Lamp_gc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_365,type,
aTP_Lamp_gd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_366,type,
aTP_Lamp_ge:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_367,type,
aTP_Lamp_gf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_368,type,
aTP_Lamp_gg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_369,type,
aTP_Lamp_gh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_370,type,
aTP_Lamp_gi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_371,type,
aTP_Lamp_gj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_372,type,
aTP_Lamp_gk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_373,type,
aTP_Lamp_gl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_374,type,
aTP_Lamp_gm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_375,type,
aTP_Lamp_gn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_376,type,
aTP_Lamp_go:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_377,type,
aTP_Lamp_gp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_378,type,
aTP_Lamp_gq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_379,type,
aTP_Lamp_gr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_380,type,
aTP_Lamp_gs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_381,type,
aTP_Lamp_gt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_382,type,
aTP_Lamp_gu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_383,type,
aTP_Lamp_gv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_384,type,
aTP_Lamp_gw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_385,type,
aTP_Lamp_gx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_386,type,
aTP_Lamp_gy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_387,type,
aTP_Lamp_gz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_388,type,
aTP_Lamp_ha:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_389,type,
aTP_Lamp_hb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_390,type,
aTP_Lamp_hc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_391,type,
aTP_Lamp_hd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_392,type,
aTP_Lamp_he:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_393,type,
aTP_Lamp_hf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_394,type,
aTP_Lamp_hg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_395,type,
aTP_Lamp_hh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_396,type,
aTP_Lamp_hi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_397,type,
aTP_Lamp_hj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_398,type,
aTP_Lamp_hk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_399,type,
aTP_Lamp_hl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_400,type,
aTP_Lamp_hm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_401,type,
aTP_Lamp_hn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_402,type,
aTP_Lamp_ho:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_403,type,
aTP_Lamp_hp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_404,type,
aTP_Lamp_hq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_405,type,
aTP_Lamp_hr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_406,type,
aTP_Lamp_hs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_407,type,
aTP_Lamp_ht:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_408,type,
aTP_Lamp_hu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_409,type,
aTP_Lamp_hv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_410,type,
aTP_Lamp_hw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_411,type,
aTP_Lamp_hx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_412,type,
aTP_Lamp_hy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_413,type,
aTP_Lamp_hz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_414,type,
aTP_Lamp_ia:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_415,type,
aTP_Lamp_ib:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_416,type,
aTP_Lamp_ic:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_417,type,
aTP_Lamp_id:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_418,type,
aTP_Lamp_ie:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_419,type,
aTP_Lamp_if:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_420,type,
aTP_Lamp_ig:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_421,type,
aTP_Lamp_ih:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_422,type,
aTP_Lamp_ii:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_423,type,
aTP_Lamp_ij:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_424,type,
aTP_Lamp_ik:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_425,type,
aTP_Lamp_il:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_426,type,
aTP_Lamp_im:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_427,type,
aTP_Lamp_in:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_428,type,
aTP_Lamp_io:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_429,type,
aTP_Lamp_ip:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_430,type,
aTP_Lamp_iq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_431,type,
aTP_Lamp_ir:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_432,type,
aTP_Lamp_is:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_433,type,
aTP_Lamp_it:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_434,type,
aTP_Lamp_iu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_435,type,
aTP_Lamp_iv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_436,type,
aTP_Lamp_iw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_437,type,
aTP_Lamp_ix:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_438,type,
aTP_Lamp_iy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_439,type,
aTP_Lamp_iz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_440,type,
aTP_Lamp_ja:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_441,type,
aTP_Lamp_jb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_442,type,
aTP_Lamp_jc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_443,type,
aTP_Lamp_jd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_444,type,
aTP_Lamp_je:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_445,type,
aTP_Lamp_jf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_446,type,
aTP_Lamp_jg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_447,type,
aTP_Lamp_jh:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_448,type,
aTP_Lamp_ji:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_449,type,
aTP_Lamp_jj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_450,type,
aTP_Lamp_jk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_451,type,
aTP_Lamp_jl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_452,type,
aTP_Lamp_jm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_453,type,
aTP_Lamp_jn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_454,type,
aTP_Lamp_jo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_455,type,
aTP_Lamp_jp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_456,type,
aTP_Lamp_jq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_457,type,
aTP_Lamp_jr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_458,type,
aTP_Lamp_js:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_459,type,
aTP_Lamp_jt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_460,type,
aTP_Lamp_ju:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_461,type,
aTP_Lamp_jv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_462,type,
aTP_Lamp_jw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_463,type,
aTP_Lamp_jx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_464,type,
aTP_Lamp_jy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_465,type,
aTP_Lamp_jz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_466,type,
aTP_Lamp_ka:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_467,type,
aTP_Lamp_kb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_468,type,
aTP_Lamp_kc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_469,type,
aTP_Lamp_kd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_470,type,
aTP_Lamp_ke:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_471,type,
aTP_Lamp_kf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_472,type,
aTP_Lamp_kg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_473,type,
aTP_Lamp_kh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_474,type,
aTP_Lamp_ki:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_475,type,
aTP_Lamp_kj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_476,type,
aTP_Lamp_kk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_477,type,
aTP_Lamp_kl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_478,type,
aTP_Lamp_km:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_479,type,
aTP_Lamp_kn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_480,type,
aTP_Lamp_ko:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_481,type,
aTP_Lamp_kp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_482,type,
aTP_Lamp_kq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_483,type,
aTP_Lamp_kr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_484,type,
aTP_Lamp_ks:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_485,type,
aTP_Lamp_kt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_486,type,
aTP_Lamp_ku:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_487,type,
aTP_Lamp_kv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_488,type,
aTP_Lamp_kw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_489,type,
aTP_Lamp_kx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_490,type,
aTP_Lamp_ky:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_491,type,
aTP_Lamp_kz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_492,type,
aTP_Lamp_la:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_493,type,
aTP_Lamp_lb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_494,type,
aTP_Lamp_lc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_495,type,
aTP_Lamp_ld:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_496,type,
aTP_Lamp_le:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_497,type,
aTP_Lamp_lf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_498,type,
aTP_Lamp_lg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_499,type,
aTP_Lamp_lh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_500,type,
aTP_Lamp_li:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_501,type,
aTP_Lamp_lj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_502,type,
aTP_Lamp_lk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_503,type,
aTP_Lamp_ll:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_504,type,
aTP_Lamp_lm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_505,type,
aTP_Lamp_ln:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_506,type,
aTP_Lamp_lo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_507,type,
aTP_Lamp_lp:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_508,type,
aTP_Lamp_lq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_509,type,
aTP_Lamp_lr:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_510,type,
aTP_Lamp_ls:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_511,type,
aTP_Lamp_lt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_512,type,
aTP_Lamp_lu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_513,type,
aTP_Lamp_lv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_514,type,
aTP_Lamp_lw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_515,type,
aTP_Lamp_lx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_516,type,
aTP_Lamp_ly:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_517,type,
aTP_Lamp_lz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_518,type,
aTP_Lamp_ma:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_519,type,
aTP_Lamp_mb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_520,type,
aTP_Lamp_mc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_521,type,
aTP_Lamp_md:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_522,type,
aTP_Lamp_me:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_523,type,
aTP_Lamp_mf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_524,type,
aTP_Lamp_mg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_525,type,
aTP_Lamp_mh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_526,type,
aTP_Lamp_mi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_527,type,
aTP_Lamp_mj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_528,type,
aTP_Lamp_mk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_529,type,
aTP_Lamp_ml:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_530,type,
aTP_Lamp_mm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_531,type,
aTP_Lamp_mn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_532,type,
aTP_Lamp_mo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_533,type,
aTP_Lamp_mp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_534,type,
aTP_Lamp_mq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_535,type,
aTP_Lamp_mr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_536,type,
aTP_Lamp_ms:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_537,type,
aTP_Lamp_mt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_538,type,
aTP_Lamp_mu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_539,type,
aTP_Lamp_mv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_540,type,
aTP_Lamp_mw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_541,type,
aTP_Lamp_mx:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_542,type,
aTP_Lamp_my:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_543,type,
aTP_Lamp_mz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_544,type,
aTP_Lamp_na:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_545,type,
aTP_Lamp_nb:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_546,type,
aTP_Lamp_nc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_547,type,
aTP_Lamp_nd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_548,type,
aTP_Lamp_ne:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_549,type,
aTP_Lamp_nf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_550,type,
aTP_Lamp_ng:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_551,type,
aTP_Lamp_nh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_552,type,
aTP_Lamp_ni:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_553,type,
aTP_Lamp_nj:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_554,type,
aTP_Lamp_nk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_555,type,
aTP_Lamp_nl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_556,type,
aTP_Lamp_nm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_557,type,
aTP_Lamp_nn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_558,type,
aTP_Lamp_no:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_559,type,
aTP_Lamp_np:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_560,type,
aTP_Lamp_nq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_561,type,
aTP_Lamp_nr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_562,type,
aTP_Lamp_ns:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_563,type,
aTP_Lamp_nt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_564,type,
aTP_Lamp_nu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_565,type,
aTP_Lamp_nv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_566,type,
aTP_Lamp_nw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_567,type,
aTP_Lamp_nx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_568,type,
aTP_Lamp_ny:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_569,type,
aTP_Lamp_nz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_570,type,
aTP_Lamp_oa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_571,type,
aTP_Lamp_ob:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_572,type,
aTP_Lamp_oc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_573,type,
aTP_Lamp_od:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_574,type,
aTP_Lamp_oe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_575,type,
aTP_Lamp_of:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_576,type,
aTP_Lamp_og:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_577,type,
aTP_Lamp_oh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_578,type,
aTP_Lamp_oi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_579,type,
aTP_Lamp_oj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_580,type,
aTP_Lamp_ok:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_581,type,
aTP_Lamp_ol:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_582,type,
aTP_Lamp_om:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_583,type,
aTP_Lamp_on:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_584,type,
aTP_Lamp_oo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_585,type,
aTP_Lamp_op:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_586,type,
aTP_Lamp_oq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_587,type,
aTP_Lamp_or:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_588,type,
aTP_Lamp_os:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_589,type,
aTP_Lamp_ot:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_590,type,
aTP_Lamp_ou:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_591,type,
aTP_Lamp_ov:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_592,type,
aTP_Lamp_ow:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_593,type,
aTP_Lamp_ox:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_594,type,
aTP_Lamp_oy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_595,type,
aTP_Lamp_oz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_596,type,
aTP_Lamp_pa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_597,type,
aTP_Lamp_pb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_598,type,
aTP_Lamp_pc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_599,type,
aTP_Lamp_pd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_600,type,
aTP_Lamp_pe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_601,type,
aTP_Lamp_pf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_602,type,
aTP_Lamp_pg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_603,type,
aTP_Lamp_ph:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_604,type,
aTP_Lamp_pi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_605,type,
aTP_Lamp_pj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_606,type,
aTP_Lamp_pk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_607,type,
aTP_Lamp_pl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_608,type,
aTP_Lamp_pm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_609,type,
aTP_Lamp_pn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_610,type,
aTP_Lamp_po:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_611,type,
aTP_Lamp_pp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_612,type,
aTP_Lamp_pq:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_613,type,
aTP_Lamp_pr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_614,type,
aTP_Lamp_ps:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_615,type,
aTP_Lamp_pt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_616,type,
aTP_Lamp_pu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_617,type,
aTP_Lamp_pv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_618,type,
aTP_Lamp_pw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_619,type,
aTP_Lamp_px:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_620,type,
aTP_Lamp_py:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_621,type,
aTP_Lamp_pz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_622,type,
aTP_Lamp_qa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_623,type,
aTP_Lamp_qb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_624,type,
aTP_Lamp_qc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_625,type,
aTP_Lamp_qd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_626,type,
aTP_Lamp_qe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_627,type,
aTP_Lamp_qf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_628,type,
aTP_Lamp_qg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_629,type,
aTP_Lamp_qh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_630,type,
aTP_Lamp_qi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_631,type,
aTP_Lamp_qj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_632,type,
aTP_Lamp_qk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_633,type,
aTP_Lamp_ql:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_634,type,
aTP_Lamp_qm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_635,type,
aTP_Lamp_qn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_636,type,
aTP_Lamp_qo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_637,type,
aTP_Lamp_qp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_638,type,
aTP_Lamp_qq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_639,type,
aTP_Lamp_qr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_640,type,
aTP_Lamp_qs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_641,type,
aTP_Lamp_qt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_642,type,
aTP_Lamp_qu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_643,type,
aTP_Lamp_qv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_644,type,
aTP_Lamp_qw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_645,type,
aTP_Lamp_qx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_646,type,
aTP_Lamp_qy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_647,type,
aTP_Lamp_qz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_648,type,
aTP_Lamp_ra:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_649,type,
aTP_Lamp_rb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_650,type,
aTP_Lamp_rc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_651,type,
aTP_Lamp_rd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_652,type,
aTP_Lamp_re:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_653,type,
aTP_Lamp_rf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_654,type,
aTP_Lamp_rg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_655,type,
aTP_Lamp_rh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_656,type,
aTP_Lamp_ri:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_657,type,
aTP_Lamp_rj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_658,type,
aTP_Lamp_rk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_659,type,
aTP_Lamp_rl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_660,type,
aTP_Lamp_rm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_661,type,
aTP_Lamp_rn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_662,type,
aTP_Lamp_ro:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_663,type,
aTP_Lamp_rp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_664,type,
aTP_Lamp_rq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_665,type,
aTP_Lamp_rr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_666,type,
aTP_Lamp_rs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_667,type,
aTP_Lamp_rt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_668,type,
aTP_Lamp_ru:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_669,type,
aTP_Lamp_rv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_670,type,
aTP_Lamp_rw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_671,type,
aTP_Lamp_rx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_672,type,
aTP_Lamp_ry:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_673,type,
aTP_Lamp_rz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_674,type,
aTP_Lamp_sa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_675,type,
aTP_Lamp_sb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_676,type,
aTP_Lamp_sc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_677,type,
aTP_Lamp_sd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_678,type,
aTP_Lamp_se:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_679,type,
aTP_Lamp_sf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_680,type,
aTP_Lamp_sg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_681,type,
aTP_Lamp_sh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_682,type,
aTP_Lamp_si:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_683,type,
aTP_Lamp_sj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_684,type,
aTP_Lamp_sk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_685,type,
aTP_Lamp_sl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_686,type,
aTP_Lamp_sm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_687,type,
aTP_Lamp_sn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_688,type,
aTP_Lamp_so:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_689,type,
aTP_Lamp_sp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_690,type,
aTP_Lamp_sq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_691,type,
aTP_Lamp_sr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_692,type,
aTP_Lamp_ss:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_693,type,
aTP_Lamp_st:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_694,type,
aTP_Lamp_su:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_695,type,
aTP_Lamp_sv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_696,type,
aTP_Lamp_sw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_697,type,
aTP_Lamp_sx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_698,type,
aTP_Lamp_sy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_699,type,
aTP_Lamp_sz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_700,type,
aTP_Lamp_ta:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_701,type,
aTP_Lamp_tb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_702,type,
aTP_Lamp_tc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_703,type,
aTP_Lamp_td:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_704,type,
aTP_Lamp_te:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_705,type,
aTP_Lamp_tf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_706,type,
aTP_Lamp_tg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_707,type,
aTP_Lamp_th:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_708,type,
aTP_Lamp_ti:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_709,type,
aTP_Lamp_tj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_710,type,
aTP_Lamp_tk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_711,type,
aTP_Lamp_tl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_712,type,
aTP_Lamp_tm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_713,type,
aTP_Lamp_tn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_714,type,
aTP_Lamp_to:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_715,type,
aTP_Lamp_tp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_716,type,
aTP_Lamp_tq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_717,type,
aTP_Lamp_tr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_718,type,
aTP_Lamp_ts:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_719,type,
aTP_Lamp_tt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_720,type,
aTP_Lamp_tu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_721,type,
aTP_Lamp_tv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_722,type,
aTP_Lamp_tw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_723,type,
aTP_Lamp_tx:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_724,type,
aTP_Lamp_ty:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_725,type,
aTP_Lamp_tz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_726,type,
aTP_Lamp_ua:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_727,type,
aTP_Lamp_ub:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_728,type,
aTP_Lamp_uc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_729,type,
aTP_Lamp_ud:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_730,type,
aTP_Lamp_ue:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_731,type,
aTP_Lamp_uf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_732,type,
aTP_Lamp_ug:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_733,type,
aTP_Lamp_uh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_734,type,
aTP_Lamp_ui:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_735,type,
aTP_Lamp_uj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_736,type,
aTP_Lamp_uk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_737,type,
aTP_Lamp_ul:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_738,type,
aTP_Lamp_um:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_739,type,
aTP_Lamp_un:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_740,type,
aTP_Lamp_uo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_741,type,
aTP_Lamp_up:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_742,type,
aTP_Lamp_uq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_743,type,
aTP_Lamp_ur:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_744,type,
aTP_Lamp_us:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_745,type,
aTP_Lamp_ut:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_746,type,
aTP_Lamp_uu:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_747,type,
aTP_Lamp_uv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_748,type,
aTP_Lamp_uw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_749,type,
aTP_Lamp_ux:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_750,type,
aTP_Lamp_uy:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_751,type,
aTP_Lamp_uz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_752,type,
aTP_Lamp_va:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_753,type,
aTP_Lamp_vb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_754,type,
aTP_Lamp_vc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_755,type,
aTP_Lamp_vd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_756,type,
aTP_Lamp_ve:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_757,type,
aTP_Lamp_vf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_758,type,
aTP_Lamp_vg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_759,type,
aTP_Lamp_vh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_760,type,
aTP_Lamp_vi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_761,type,
aTP_Lamp_vj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_762,type,
aTP_Lamp_vk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_763,type,
aTP_Lamp_vl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_764,type,
aTP_Lamp_vm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_765,type,
aTP_Lamp_vn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_766,type,
aTP_Lamp_vo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_767,type,
aTP_Lamp_vp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_768,type,
aTP_Lamp_vq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_769,type,
aTP_Lamp_vr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_770,type,
aTP_Lamp_vs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_771,type,
aTP_Lamp_vt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_772,type,
aTP_Lamp_vu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_773,type,
aTP_Lamp_vv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_774,type,
aTP_Lamp_vw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_775,type,
aTP_Lamp_vx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_776,type,
aTP_Lamp_vy:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_777,type,
aTP_Lamp_vz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_778,type,
aTP_Lamp_wa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_779,type,
aTP_Lamp_wb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_780,type,
aTP_Lamp_wc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_781,type,
aTP_Lamp_wd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_782,type,
aTP_Lamp_we:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_783,type,
aTP_Lamp_wf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_784,type,
aTP_Lamp_wg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_785,type,
aTP_Lamp_wh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_786,type,
aTP_Lamp_wi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_787,type,
aTP_Lamp_wj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_788,type,
aTP_Lamp_wk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_789,type,
aTP_Lamp_wl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_790,type,
aTP_Lamp_wm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_791,type,
aTP_Lamp_wn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_792,type,
aTP_Lamp_wo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_793,type,
aTP_Lamp_wp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_794,type,
aTP_Lamp_wq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_795,type,
aTP_Lamp_wr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_796,type,
aTP_Lamp_ws:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_797,type,
aTP_Lamp_wt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_798,type,
aTP_Lamp_wu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_799,type,
aTP_Lamp_wv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_800,type,
aTP_Lamp_ww:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_801,type,
aTP_Lamp_wx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_802,type,
aTP_Lamp_wy:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_803,type,
aTP_Lamp_wz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_804,type,
aTP_Lamp_xa:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_805,type,
aTP_Lamp_xb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_806,type,
aTP_Lamp_xc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_807,type,
aTP_Lamp_xd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_808,type,
aTP_Lamp_xe:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_809,type,
aTP_Lamp_xf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_810,type,
aTP_Lamp_xg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_811,type,
aTP_Lamp_xh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_812,type,
aTP_Lamp_xi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_813,type,
aTP_Lamp_xj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_814,type,
aTP_Lamp_xk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_815,type,
aTP_Lamp_xl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_816,type,
aTP_Lamp_xm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_817,type,
aTP_Lamp_xn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_818,type,
aTP_Lamp_xo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_819,type,
aTP_Lamp_xp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_820,type,
aTP_Lamp_xq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_821,type,
aTP_Lamp_xr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_822,type,
aTP_Lamp_xs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_823,type,
aTP_Lamp_xt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_824,type,
aTP_Lamp_xu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_825,type,
aTP_Lamp_xv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_826,type,
aTP_Lamp_xw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_827,type,
aTP_Lamp_xx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_828,type,
aTP_Lamp_xy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_829,type,
aTP_Lamp_xz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_830,type,
aTP_Lamp_ya:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_831,type,
aTP_Lamp_yb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_832,type,
aTP_Lamp_yc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_833,type,
aTP_Lamp_yd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_834,type,
aTP_Lamp_ye:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_835,type,
aTP_Lamp_yf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_836,type,
aTP_Lamp_yg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_837,type,
aTP_Lamp_yh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_838,type,
aTP_Lamp_yi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_839,type,
aTP_Lamp_yj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_840,type,
aTP_Lamp_yk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_841,type,
aTP_Lamp_yl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_842,type,
aTP_Lamp_ym:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_843,type,
aTP_Lamp_yn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_844,type,
aTP_Lamp_yo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_845,type,
aTP_Lamp_yp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_846,type,
aTP_Lamp_yq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_847,type,
aTP_Lamp_yr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_848,type,
aTP_Lamp_ys:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_849,type,
aTP_Lamp_yt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_850,type,
aTP_Lamp_yu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_851,type,
aTP_Lamp_yv:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_852,type,
aTP_Lamp_yw:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_853,type,
aTP_Lamp_yx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_854,type,
aTP_Lamp_yy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_855,type,
aTP_Lamp_yz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_856,type,
aTP_Lamp_za:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_857,type,
aTP_Lamp_zb:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_858,type,
aTP_Lamp_zc:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_859,type,
aTP_Lamp_zd:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_860,type,
aTP_Lamp_ze:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_861,type,
aTP_Lamp_zf:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_862,type,
aTP_Lamp_zg:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_863,type,
aTP_Lamp_zh:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_864,type,
aTP_Lamp_zi:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_865,type,
aTP_Lamp_zj:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_866,type,
aTP_Lamp_zk:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_867,type,
aTP_Lamp_zl:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_868,type,
aTP_Lamp_zm:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_869,type,
aTP_Lamp_zn:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_870,type,
aTP_Lamp_zo:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_871,type,
aTP_Lamp_zp:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_872,type,
aTP_Lamp_zq:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_873,type,
aTP_Lamp_zr:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_874,type,
aTP_Lamp_zs:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_875,type,
aTP_Lamp_zt:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_876,type,
aTP_Lamp_zu:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_877,type,
aTP_Lamp_zv:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_878,type,
aTP_Lamp_zw:
!>[X0: $tType,X1: $tType] : fun(X0,X1) ).
tff(func_def_879,type,
aTP_Lamp_zx:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_880,type,
aTP_Lamp_zy:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_881,type,
aTP_Lamp_zz:
!>[X0: $tType,X1: $tType] : ( X0 > X1 ) ).
tff(func_def_882,type,
archimedean_ceiling:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_883,type,
archim6421214686448440834_floor:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_884,type,
archimedean_frac:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_885,type,
archimedean_round:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_886,type,
bNF_Greatest_image2:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( set(X0) * fun(X0,X1) * fun(X0,X2) ) > set(product_prod(X1,X2)) ) ).
tff(func_def_887,type,
bNF_Gr4221423524335903396lImage:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X0,X0)) * fun(X0,X1) ) > set(product_prod(X1,X1)) ) ).
tff(func_def_888,type,
bNF_Gr7122648621184425601vImage:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * set(product_prod(X1,X1)) * fun(X0,X1) ) > set(product_prod(X0,X0)) ) ).
tff(func_def_889,type,
bNF_Wellorder_Func:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(fun(X0,X1)) ) ).
tff(func_def_890,type,
bNF_We4925052301507509544nc_map:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( set(X0) * fun(X1,X2) * fun(X0,X3) ) > fun(fun(X3,X1),fun(X0,X2)) ) ).
tff(func_def_891,type,
basic_BNF_size_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,nat) * fun(X1,nat) * product_prod(X0,X1) ) > nat ) ).
tff(func_def_892,type,
binomial: nat > fun(nat,nat) ).
tff(func_def_893,type,
gbinomial:
!>[X0: $tType] : ( X0 > fun(nat,X0) ) ).
tff(func_def_894,type,
bit_and_int_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).
tff(func_def_895,type,
bit_and_not_num: ( num * num ) > option(num) ).
tff(func_def_896,type,
bit_and_not_num_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_897,type,
bit_concat_bit: ( nat * int ) > fun(int,int) ).
tff(func_def_898,type,
bit_or_not_num_neg: ( num * num ) > num ).
tff(func_def_899,type,
bit_or3848514188828904588eg_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_900,type,
bit_ri4277139882892585799ns_not:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_901,type,
bit_ri4674362597316999326ke_bit:
!>[X0: $tType] : ( nat > fun(X0,X0) ) ).
tff(func_def_902,type,
bit_se5824344872417868541ns_and:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_903,type,
bit_se4197421643247451524op_bit:
!>[X0: $tType] : ( nat > fun(X0,X0) ) ).
tff(func_def_904,type,
bit_se8732182000553998342ip_bit:
!>[X0: $tType] : ( ( nat * X0 ) > X0 ) ).
tff(func_def_905,type,
bit_se2239418461657761734s_mask:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_906,type,
bit_se1065995026697491101ons_or:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_907,type,
bit_se4730199178511100633sh_bit:
!>[X0: $tType] : ( nat > fun(X0,X0) ) ).
tff(func_def_908,type,
bit_se5668285175392031749et_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_909,type,
bit_se2584673776208193580ke_bit:
!>[X0: $tType] : ( nat > fun(X0,X0) ) ).
tff(func_def_910,type,
bit_se2638667681897837118et_bit:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_911,type,
bit_se5824344971392196577ns_xor:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_912,type,
bit_se5641148757651400278ts_bit:
!>[X0: $tType] : ( X0 > fun(nat,bool) ) ).
tff(func_def_913,type,
bit_take_bit_num: ( nat * num ) > option(num) ).
tff(func_def_914,type,
bit_un1837492267222099188nd_num: fun(num,fun(num,option(num))) ).
tff(func_def_915,type,
bit_un5425074673868309765um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_916,type,
bit_un6178654185764691216or_num: fun(num,fun(num,option(num))) ).
tff(func_def_917,type,
bit_un3595099601533988841um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_918,type,
bit_un7362597486090784418nd_num: fun(num,fun(num,option(num))) ).
tff(func_def_919,type,
bit_un4731106466462545111um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_920,type,
bit_un2480387367778600638or_num: fun(num,fun(num,option(num))) ).
tff(func_def_921,type,
bit_un2901131394128224187um_rel: fun(product_prod(num,num),fun(product_prod(num,num),bool)) ).
tff(func_def_922,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_923,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_924,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_925,type,
code_bit_cut_integer: code_integer > product_prod(code_integer,bool) ).
tff(func_def_926,type,
code_divmod_abs: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).
tff(func_def_927,type,
code_divmod_integer: ( code_integer * code_integer ) > product_prod(code_integer,code_integer) ).
tff(func_def_928,type,
code_int_of_integer: code_integer > int ).
tff(func_def_929,type,
code_integer_of_int: int > code_integer ).
tff(func_def_930,type,
code_integer_of_num: fun(num,code_integer) ).
tff(func_def_931,type,
code_nat_of_integer: code_integer > nat ).
tff(func_def_932,type,
code_negative: fun(num,code_integer) ).
tff(func_def_933,type,
code_num_of_integer: code_integer > num ).
tff(func_def_934,type,
code_positive: fun(num,code_integer) ).
tff(func_def_935,type,
code_Target_negative: fun(num,int) ).
tff(func_def_936,type,
code_Target_positive: fun(num,int) ).
tff(func_def_937,type,
complete_Inf_Inf:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_938,type,
complete_Sup_Sup:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_939,type,
arg: complex > real ).
tff(func_def_940,type,
cis: real > complex ).
tff(func_def_941,type,
cnj: complex > complex ).
tff(func_def_942,type,
complex2: ( real * real ) > complex ).
tff(func_def_943,type,
im: complex > real ).
tff(func_def_944,type,
re: complex > real ).
tff(func_def_945,type,
csqrt: complex > complex ).
tff(func_def_946,type,
imaginary_unit: complex ).
tff(func_def_947,type,
adjust_div: product_prod(int,int) > int ).
tff(func_def_948,type,
adjust_mod: ( int * int ) > int ).
tff(func_def_949,type,
divmod_nat: ( nat * nat ) > product_prod(nat,nat) ).
tff(func_def_950,type,
unique8689654367752047608divmod:
!>[X0: $tType] : ( ( num * num ) > product_prod(X0,X0) ) ).
tff(func_def_951,type,
unique1321980374590559556d_step:
!>[X0: $tType] : ( ( num * product_prod(X0,X0) ) > product_prod(X0,X0) ) ).
tff(func_def_952,type,
comm_s3205402744901411588hammer:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_953,type,
semiring_char_0_fact:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_954,type,
inverse_inverse:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_955,type,
at_bot:
!>[X0: $tType] : filter(X0) ).
tff(func_def_956,type,
at_top:
!>[X0: $tType] : filter(X0) ).
tff(func_def_957,type,
filtercomap:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) ) > filter(X0) ) ).
tff(func_def_958,type,
finite5375528669736107172at_top:
!>[X0: $tType] : ( set(X0) > filter(set(X0)) ) ).
tff(func_def_959,type,
map_filter_on:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * filter(X0) ) > filter(X1) ) ).
tff(func_def_960,type,
principal:
!>[X0: $tType] : ( set(X0) > filter(X0) ) ).
tff(func_def_961,type,
finite_Fpow:
!>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).
tff(func_def_962,type,
finite_card:
!>[X0: $tType] : fun(set(X0),nat) ).
tff(func_def_963,type,
finite_fold:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * set(X0) ) > X1 ) ).
tff(func_def_964,type,
comp:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(fun(X2,X0),fun(X2,X1)) ) ).
tff(func_def_965,type,
fun_upd:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * X1 ) > fun(X0,X1) ) ).
tff(func_def_966,type,
id:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_967,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_968,type,
override_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * set(X0) ) > fun(X0,X1) ) ).
tff(func_def_969,type,
the_inv_into:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) * X1 ) > X0 ) ).
tff(func_def_970,type,
gcd_Gcd:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_971,type,
bezw: ( nat * nat ) > product_prod(int,int) ).
tff(func_def_972,type,
bezw_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_973,type,
gcd_gcd:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_974,type,
gcd_nat_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_975,type,
abs_abs:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_976,type,
minus_minus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_977,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_978,type,
plus_plus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_979,type,
sgn_sgn:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_980,type,
times_times:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_981,type,
uminus_uminus:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_982,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_983,type,
groups7311177749621191930dd_sum:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),X1) ) ).
tff(func_def_984,type,
groups1027152243600224163dd_sum:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).
tff(func_def_985,type,
groups7121269368397514597t_prod:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(set(X0),X1)) ).
tff(func_def_986,type,
groups1962203154675924110t_prod:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X1 ) ).
tff(func_def_987,type,
groups4207007520872428315er_sum:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X1 * list(X0) ) > X1 ) ).
tff(func_def_988,type,
groups8242544230860333062m_list:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_989,type,
the:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_990,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_991,type,
abs_Integ: fun(product_prod(nat,nat),int) ).
tff(func_def_992,type,
rep_Integ: fun(int,product_prod(nat,nat)) ).
tff(func_def_993,type,
int_ge_less_than: int > set(product_prod(int,int)) ).
tff(func_def_994,type,
int_ge_less_than2: int > set(product_prod(int,int)) ).
tff(func_def_995,type,
nat2: fun(int,nat) ).
tff(func_def_996,type,
power_int:
!>[X0: $tType] : ( ( X0 * int ) > X0 ) ).
tff(func_def_997,type,
ring_1_Ints:
!>[X0: $tType] : set(X0) ).
tff(func_def_998,type,
ring_1_of_int:
!>[X0: $tType] : fun(int,X0) ).
tff(func_def_999,type,
inf_inf:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_1000,type,
sup_sup:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_1001,type,
lattices_Max:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).
tff(func_def_1002,type,
lattices_Min:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),X0) ) ).
tff(func_def_1003,type,
lattic643756798349783984er_Max:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_1004,type,
lattic643756798350308766er_Min:
!>[X0: $tType] : fun(set(X0),X0) ).
tff(func_def_1005,type,
lattic7623131987881927897min_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > X0 ) ).
tff(func_def_1006,type,
lattic7752659483105999362nf_fin:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_1007,type,
lattic5882676163264333800up_fin:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_1008,type,
at_infinity:
!>[X0: $tType] : filter(X0) ).
tff(func_def_1009,type,
append:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_1010,type,
arg_min_list:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > X0 ) ).
tff(func_def_1011,type,
bind:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * fun(X0,list(X1)) ) > list(X1) ) ).
tff(func_def_1012,type,
concat:
!>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).
tff(func_def_1013,type,
count_list:
!>[X0: $tType] : ( list(X0) > fun(X0,nat) ) ).
tff(func_def_1014,type,
drop:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).
tff(func_def_1015,type,
enumerate:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(product_prod(nat,X0)) ) ).
tff(func_def_1016,type,
extract:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).
tff(func_def_1017,type,
filter2:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_1018,type,
find:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > option(X0) ) ).
tff(func_def_1019,type,
foldl:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).
tff(func_def_1020,type,
foldr:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * list(X0) * X1 ) > X1 ) ).
tff(func_def_1021,type,
lenlex:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_1022,type,
lex:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_1023,type,
lexn:
!>[X0: $tType] : ( ( set(product_prod(X0,X0)) * nat ) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_1024,type,
lexord:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_1025,type,
insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * list(X1) ) > list(X1) ) ).
tff(func_def_1026,type,
sorted8670434370408473282of_set:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * set(X1) ) > list(X1) ) ).
tff(func_def_1027,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_1028,type,
linord4507533701916653071of_set:
!>[X0: $tType] : ( set(X0) > list(X0) ) ).
tff(func_def_1029,type,
cons:
!>[X0: $tType] : ( X0 > fun(list(X0),list(X0)) ) ).
tff(func_def_1030,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_1031,type,
case_list:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_1032,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_1033,type,
map:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(list(X0),list(X1)) ) ).
tff(func_def_1034,type,
set2:
!>[X0: $tType] : fun(list(X0),set(X0)) ).
tff(func_def_1035,type,
size_list:
!>[X0: $tType] : ( ( fun(X0,nat) * list(X0) ) > nat ) ).
tff(func_def_1036,type,
tl:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_1037,type,
list_update:
!>[X0: $tType] : ( ( list(X0) * nat * X0 ) > list(X0) ) ).
tff(func_def_1038,type,
listrel:
!>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X1)) > set(product_prod(list(X0),list(X1))) ) ).
tff(func_def_1039,type,
listrel1:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).
tff(func_def_1040,type,
listrelp:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,bool)) > fun(list(X0),fun(list(X1),bool)) ) ).
tff(func_def_1041,type,
map_filter:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_1042,type,
min_list:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_1043,type,
n_lists:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(list(X0)) ) ).
tff(func_def_1044,type,
nth:
!>[X0: $tType] : ( list(X0) > fun(nat,X0) ) ).
tff(func_def_1045,type,
nths:
!>[X0: $tType] : ( ( list(X0) * set(nat) ) > list(X0) ) ).
tff(func_def_1046,type,
product:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).
tff(func_def_1047,type,
product_lists:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_1048,type,
remdups:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_1049,type,
remdups_adj:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_1050,type,
remove1:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_1051,type,
removeAll:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_1052,type,
replicate:
!>[X0: $tType] : ( ( nat * X0 ) > list(X0) ) ).
tff(func_def_1053,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_1054,type,
rotate:
!>[X0: $tType] : ( nat > fun(list(X0),list(X0)) ) ).
tff(func_def_1055,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_1056,type,
shuffles:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > set(list(X0)) ) ).
tff(func_def_1057,type,
sorted_wrt_rel:
!>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),fun(product_prod(fun(X0,fun(X0,bool)),list(X0)),bool)) ).
tff(func_def_1058,type,
subseqs:
!>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).
tff(func_def_1059,type,
take:
!>[X0: $tType] : ( ( nat * list(X0) ) > list(X0) ) ).
tff(func_def_1060,type,
takeWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_1061,type,
transpose:
!>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).
tff(func_def_1062,type,
union:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_1063,type,
upt: ( nat * nat ) > list(nat) ).
tff(func_def_1064,type,
upto: ( int * int ) > list(int) ).
tff(func_def_1065,type,
upto_aux: ( int * int * list(int) ) > list(int) ).
tff(func_def_1066,type,
upto_rel: fun(product_prod(int,int),fun(product_prod(int,int),bool)) ).
tff(func_def_1067,type,
zip:
!>[X0: $tType,X1: $tType] : ( ( list(X0) * list(X1) ) > list(product_prod(X0,X1)) ) ).
tff(func_def_1068,type,
dom:
!>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X0) ) ).
tff(func_def_1069,type,
graph:
!>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(product_prod(X0,X1)) ) ).
tff(func_def_1070,type,
map_of:
!>[X0: $tType,X1: $tType] : ( list(product_prod(X0,X1)) > fun(X0,option(X1)) ) ).
tff(func_def_1071,type,
map_upds:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * list(X0) * list(X1) ) > fun(X0,option(X1)) ) ).
tff(func_def_1072,type,
ran:
!>[X0: $tType,X1: $tType] : ( fun(X0,option(X1)) > set(X1) ) ).
tff(func_def_1073,type,
restrict_map:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,option(X1)) * set(X0) ) > fun(X0,option(X1)) ) ).
tff(func_def_1074,type,
suc: fun(nat,nat) ).
tff(func_def_1075,type,
compow:
!>[X0: $tType] : fun(nat,fun(X0,X0)) ).
tff(func_def_1076,type,
funpow:
!>[X0: $tType] : fun(nat,fun(fun(X0,X0),fun(X0,X0))) ).
tff(func_def_1077,type,
case_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_1078,type,
pred: nat > nat ).
tff(func_def_1079,type,
rec_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) ) > fun(nat,X0) ) ).
tff(func_def_1080,type,
rec_set_nat:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > fun(X0,bool) ) ).
tff(func_def_1081,type,
semiring_1_Nats:
!>[X0: $tType] : set(X0) ).
tff(func_def_1082,type,
semiring_1_of_nat:
!>[X0: $tType] : fun(nat,X0) ).
tff(func_def_1083,type,
semiri8178284476397505188at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_1084,type,
size_size:
!>[X0: $tType] : fun(X0,nat) ).
tff(func_def_1085,type,
nat_list_encode: list(nat) > nat ).
tff(func_def_1086,type,
nat_list_encode_rel: fun(list(nat),fun(list(nat),bool)) ).
tff(func_def_1087,type,
nat_prod_decode_aux: ( nat * nat ) > product_prod(nat,nat) ).
tff(func_def_1088,type,
nat_pr5047031295181774490ux_rel: fun(product_prod(nat,nat),fun(product_prod(nat,nat),bool)) ).
tff(func_def_1089,type,
nat_prod_encode: fun(product_prod(nat,nat),nat) ).
tff(func_def_1090,type,
nat_set_decode: nat > set(nat) ).
tff(func_def_1091,type,
nat_set_encode: fun(set(nat),nat) ).
tff(func_def_1092,type,
nat_triangle: nat > nat ).
tff(func_def_1093,type,
root: nat > fun(real,real) ).
tff(func_def_1094,type,
sqrt: fun(real,real) ).
tff(func_def_1095,type,
bitM: num > num ).
tff(func_def_1096,type,
inc: num > num ).
tff(func_def_1097,type,
neg_numeral_dbl:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1098,type,
neg_numeral_dbl_dec:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1099,type,
neg_numeral_dbl_inc:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1100,type,
neg_numeral_sub:
!>[X0: $tType] : ( ( num * num ) > X0 ) ).
tff(func_def_1101,type,
bit0: fun(num,num) ).
tff(func_def_1102,type,
bit1: fun(num,num) ).
tff(func_def_1103,type,
one2: num ).
tff(func_def_1104,type,
case_num:
!>[X0: $tType] : ( ( X0 * fun(num,X0) * fun(num,X0) * num ) > X0 ) ).
tff(func_def_1105,type,
size_num: num > nat ).
tff(func_def_1106,type,
num_of_nat: nat > num ).
tff(func_def_1107,type,
numeral_numeral:
!>[X0: $tType] : fun(num,X0) ).
tff(func_def_1108,type,
pow: ( num * num ) > num ).
tff(func_def_1109,type,
pred_numeral: num > nat ).
tff(func_def_1110,type,
sqr: num > num ).
tff(func_def_1111,type,
none:
!>[X0: $tType] : option(X0) ).
tff(func_def_1112,type,
some:
!>[X0: $tType] : fun(X0,option(X0)) ).
tff(func_def_1113,type,
case_option:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) * option(X1) ) > X0 ) ).
tff(func_def_1114,type,
map_option:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(option(X0),option(X1)) ) ).
tff(func_def_1115,type,
rec_option:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,X0) ) > fun(option(X1),X0) ) ).
tff(func_def_1116,type,
size_option:
!>[X0: $tType] : ( fun(X0,nat) > fun(option(X0),nat) ) ).
tff(func_def_1117,type,
the2:
!>[X0: $tType] : fun(option(X0),X0) ).
tff(func_def_1118,type,
these:
!>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).
tff(func_def_1119,type,
bot_bot:
!>[X0: $tType] : X0 ).
tff(func_def_1120,type,
max:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).
tff(func_def_1121,type,
min:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,fun(X0,X0)) ) ).
tff(func_def_1122,type,
ord_less:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_1123,type,
ord_less_eq:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_1124,type,
ord_max:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_1125,type,
ord_min:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_1126,type,
order_Greatest:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_1127,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_1128,type,
power_power:
!>[X0: $tType] : fun(X0,fun(nat,X0)) ).
tff(func_def_1129,type,
product_Pair:
!>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).
tff(func_def_1130,type,
product_apfst:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,X1) > fun(product_prod(X0,X2),product_prod(X1,X2)) ) ).
tff(func_def_1131,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_1132,type,
product_rec_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_1133,type,
product_case_prod:
!>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).
tff(func_def_1134,type,
product_fst:
!>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X0) ).
tff(func_def_1135,type,
product_snd:
!>[X0: $tType,X1: $tType] : fun(product_prod(X0,X1),X1) ).
tff(func_def_1136,type,
product_product:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * set(X1) ) > set(product_prod(X0,X1)) ) ).
tff(func_def_1137,type,
abs_Rat: fun(product_prod(int,int),rat) ).
tff(func_def_1138,type,
fract: ( int * int ) > rat ).
tff(func_def_1139,type,
frct: product_prod(int,int) > rat ).
tff(func_def_1140,type,
rep_Rat: fun(rat,product_prod(int,int)) ).
tff(func_def_1141,type,
field_char_0_Rats:
!>[X0: $tType] : set(X0) ).
tff(func_def_1142,type,
field_char_0_of_rat:
!>[X0: $tType] : fun(rat,X0) ).
tff(func_def_1143,type,
normalize: product_prod(int,int) > product_prod(int,int) ).
tff(func_def_1144,type,
of_int: int > rat ).
tff(func_def_1145,type,
positive: fun(rat,bool) ).
tff(func_def_1146,type,
quotient_of: rat > product_prod(int,int) ).
tff(func_def_1147,type,
real_Vector_Reals:
!>[X0: $tType] : set(X0) ).
tff(func_def_1148,type,
real_V557655796197034286t_dist:
!>[X0: $tType] : ( ( X0 * X0 ) > real ) ).
tff(func_def_1149,type,
real_V7770717601297561774m_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_1150,type,
real_Vector_of_real:
!>[X0: $tType] : ( real > X0 ) ).
tff(func_def_1151,type,
real_V8093663219630862766scaleR:
!>[X0: $tType] : ( ( real * X0 ) > X0 ) ).
tff(func_def_1152,type,
field2:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(X0) ) ).
tff(func_def_1153,type,
id2:
!>[X0: $tType] : set(product_prod(X0,X0)) ).
tff(func_def_1154,type,
id_on:
!>[X0: $tType] : ( set(X0) > set(product_prod(X0,X0)) ) ).
tff(func_def_1155,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_1156,type,
divide_divide:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1157,type,
dvd_dvd:
!>[X0: $tType] : ( ( X0 * X0 ) > bool ) ).
tff(func_def_1158,type,
modulo_modulo:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1159,type,
zero_neq_one_of_bool:
!>[X0: $tType] : fun(bool,X0) ).
tff(func_def_1160,type,
suminf:
!>[X0: $tType] : ( fun(nat,X0) > X0 ) ).
tff(func_def_1161,type,
collect:
!>[X0: $tType] : fun(fun(X0,bool),set(X0)) ).
tff(func_def_1162,type,
pow2:
!>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).
tff(func_def_1163,type,
image:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(set(X0),set(X1)) ) ).
tff(func_def_1164,type,
insert:
!>[X0: $tType] : ( X0 > fun(set(X0),set(X0)) ) ).
tff(func_def_1165,type,
remove:
!>[X0: $tType] : fun(X0,fun(set(X0),set(X0))) ).
tff(func_def_1166,type,
the_elem:
!>[X0: $tType] : ( set(X0) > X0 ) ).
tff(func_def_1167,type,
set_fo6178422350223883121st_nat:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * nat * nat * X0 ) > X0 ) ).
tff(func_def_1168,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_1169,type,
set_ord_atLeast:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_1170,type,
set_or1337092689740270186AtMost:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_1171,type,
set_or7035219750837199246ssThan:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_1172,type,
set_ord_atMost:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_1173,type,
set_ord_greaterThan:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_1174,type,
set_or3652927894154168847AtMost:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_1175,type,
set_or5935395276787703475ssThan:
!>[X0: $tType] : ( ( X0 * X0 ) > set(X0) ) ).
tff(func_def_1176,type,
set_ord_lessThan:
!>[X0: $tType] : ( X0 > set(X0) ) ).
tff(func_def_1177,type,
ascii_of: char > char ).
tff(func_def_1178,type,
char2: ( bool * bool * bool * bool * bool * bool * bool * bool ) > char ).
tff(func_def_1179,type,
comm_s6883823935334413003f_char:
!>[X0: $tType] : fun(char,X0) ).
tff(func_def_1180,type,
integer_of_char: char > code_integer ).
tff(func_def_1181,type,
unique5772411509450598832har_of:
!>[X0: $tType] : fun(X0,char) ).
tff(func_def_1182,type,
topolo3827282254853284352ce_Lim:
!>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > X1 ) ).
tff(func_def_1183,type,
topolo174197925503356063within:
!>[X0: $tType] : ( ( X0 * set(X0) ) > filter(X0) ) ).
tff(func_def_1184,type,
topolo7230453075368039082e_nhds:
!>[X0: $tType] : ( X0 > filter(X0) ) ).
tff(func_def_1185,type,
arccos: fun(real,real) ).
tff(func_def_1186,type,
arcosh:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1187,type,
arcsin: fun(real,real) ).
tff(func_def_1188,type,
arctan: fun(real,real) ).
tff(func_def_1189,type,
arsinh:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1190,type,
artanh:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1191,type,
cos:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1192,type,
cos_coeff: nat > real ).
tff(func_def_1193,type,
cosh:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1194,type,
cot:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1195,type,
diffs:
!>[X0: $tType] : ( fun(nat,X0) > fun(nat,X0) ) ).
tff(func_def_1196,type,
exp:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1197,type,
ln_ln:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1198,type,
log: real > fun(real,real) ).
tff(func_def_1199,type,
pi: real ).
tff(func_def_1200,type,
powr:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1201,type,
sin:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1202,type,
sin_coeff: nat > real ).
tff(func_def_1203,type,
sinh:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1204,type,
tan:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1205,type,
tanh:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_1206,type,
transitive_ntrancl:
!>[X0: $tType] : ( ( nat * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).
tff(func_def_1207,type,
transitive_rtrancl:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).
tff(func_def_1208,type,
transitive_trancl:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).
tff(func_def_1209,type,
vEBT_T_i_n_s_e_r_t: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1210,type,
vEBT_T_i_n_s_e_r_t2: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1211,type,
vEBT_T5076183648494686801_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1212,type,
vEBT_T9217963907923527482_t_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1213,type,
vEBT_T_m_a_x_t: vEBT_VEBT > nat ).
tff(func_def_1214,type,
vEBT_T_m_a_x_t_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1215,type,
vEBT_T_m_e_m_b_e_r: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1216,type,
vEBT_T_m_e_m_b_e_r2: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1217,type,
vEBT_T8099345112685741742_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1218,type,
vEBT_T5837161174952499735_r_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1219,type,
vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat ).
tff(func_def_1220,type,
vEBT_T5462971552011256508_l_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1221,type,
vEBT_T_m_i_n_t: vEBT_VEBT > nat ).
tff(func_def_1222,type,
vEBT_T_m_i_n_t_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1223,type,
vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).
tff(func_def_1224,type,
vEBT_Node: ( option(product_prod(nat,nat)) * nat * list(vEBT_VEBT) * vEBT_VEBT ) > vEBT_VEBT ).
tff(func_def_1225,type,
vEBT_size_VEBT: fun(vEBT_VEBT,nat) ).
tff(func_def_1226,type,
vEBT_V8194947554948674370ptions: fun(vEBT_VEBT,fun(nat,bool)) ).
tff(func_def_1227,type,
vEBT_VEBT_high: ( nat * nat ) > nat ).
tff(func_def_1228,type,
vEBT_VEBT_low: ( nat * nat ) > nat ).
tff(func_def_1229,type,
vEBT_V4351362008482014158ma_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1230,type,
vEBT_V5765760719290551771er_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1231,type,
vEBT_VEBT_valid_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1232,type,
vEBT_set_vebt: vEBT_VEBT > set(nat) ).
tff(func_def_1233,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
tff(func_def_1234,type,
vEBT_v4011308405150292612up_rel: fun(nat,fun(nat,bool)) ).
tff(func_def_1235,type,
vEBT_VEBT_height: fun(vEBT_VEBT,nat) ).
tff(func_def_1236,type,
vEBT_VEBT_height_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1237,type,
vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1238,type,
vEBT_vebt_insert_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1239,type,
vEBT_VEBT_bit_concat: ( nat * nat * nat ) > nat ).
tff(func_def_1240,type,
vEBT_VEBT_minNull: vEBT_VEBT > bool ).
tff(func_def_1241,type,
vEBT_V6963167321098673237ll_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1242,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).
tff(func_def_1243,type,
vEBT_vebt_member: vEBT_VEBT > fun(nat,bool) ).
tff(func_def_1244,type,
vEBT_vebt_member_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1245,type,
vEBT_VEBT_add: fun(option(nat),fun(option(nat),option(nat))) ).
tff(func_def_1246,type,
vEBT_VEBT_greater: ( option(nat) * option(nat) ) > bool ).
tff(func_def_1247,type,
vEBT_VEBT_less: ( option(nat) * option(nat) ) > bool ).
tff(func_def_1248,type,
vEBT_VEBT_mul: fun(option(nat),fun(option(nat),option(nat))) ).
tff(func_def_1249,type,
vEBT_V2048590022279873568_shift:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(option(X0),fun(option(X0),option(X0))) ) ).
tff(func_def_1250,type,
vEBT_V459564278314245337ft_rel:
!>[X0: $tType] : fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),fun(product_prod(fun(X0,fun(X0,X0)),product_prod(option(X0),option(X0))),bool)) ).
tff(func_def_1251,type,
vEBT_VEBT_power: fun(option(nat),fun(option(nat),option(nat))) ).
tff(func_def_1252,type,
vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).
tff(func_def_1253,type,
vEBT_vebt_maxt_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1254,type,
vEBT_vebt_mint: vEBT_VEBT > option(nat) ).
tff(func_def_1255,type,
vEBT_vebt_mint_rel: fun(vEBT_VEBT,fun(vEBT_VEBT,bool)) ).
tff(func_def_1256,type,
vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option(nat) ).
tff(func_def_1257,type,
vEBT_vebt_pred_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1258,type,
vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option(nat) ).
tff(func_def_1259,type,
vEBT_vebt_succ_rel: fun(product_prod(vEBT_VEBT,nat),fun(product_prod(vEBT_VEBT,nat),bool)) ).
tff(func_def_1260,type,
accp:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(X0,bool) ) ).
tff(func_def_1261,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_1262,type,
max_ext:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).
tff(func_def_1263,type,
max_extp:
!>[X0: $tType] : ( fun(X0,fun(X0,bool)) > fun(set(X0),fun(set(X0),bool)) ) ).
tff(func_def_1264,type,
measure:
!>[X0: $tType] : ( fun(X0,nat) > set(product_prod(X0,X0)) ) ).
tff(func_def_1265,type,
min_ext:
!>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(set(X0),set(X0))) ) ).
tff(func_def_1266,type,
mlex_prod:
!>[X0: $tType] : ( ( fun(X0,nat) * set(product_prod(X0,X0)) ) > set(product_prod(X0,X0)) ) ).
tff(func_def_1267,type,
pred_nat: set(product_prod(nat,nat)) ).
tff(func_def_1268,type,
same_fst:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,set(product_prod(X1,X1))) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).
tff(func_def_1269,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1270,type,
fAll:
!>[X0: $tType] : ( fun(X0,bool) > bool ) ).
tff(func_def_1271,type,
fChoice:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_1272,type,
fEx:
!>[X0: $tType] : fun(fun(X0,bool),bool) ).
tff(func_def_1273,type,
fFalse: bool ).
tff(func_def_1274,type,
fNot: fun(bool,bool) ).
tff(func_def_1275,type,
fTrue: bool ).
tff(func_def_1276,type,
fconj: ( bool * bool ) > bool ).
tff(func_def_1277,type,
fdisj: ( bool * bool ) > bool ).
tff(func_def_1278,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_1279,type,
fimplies: fun(bool,fun(bool,bool)) ).
tff(func_def_1280,type,
member:
!>[X0: $tType] : fun(X0,fun(set(X0),bool)) ).
tff(func_def_1281,type,
deg: nat ).
tff(func_def_1282,type,
m: nat ).
tff(func_def_1283,type,
ma: nat ).
tff(func_def_1284,type,
mi: nat ).
tff(func_def_1285,type,
na: nat ).
tff(func_def_1286,type,
summary: vEBT_VEBT ).
tff(func_def_1287,type,
treeList: list(vEBT_VEBT) ).
tff(func_def_1288,type,
xa: nat ).
tff(func_def_1289,type,
sK0: fun(nat,fun(nat,bool)) > nat ).
tff(func_def_1290,type,
sK1: fun(nat,fun(nat,bool)) > nat ).
tff(func_def_1291,type,
sK2: fun(nat,fun(nat,bool)) > nat ).
tff(func_def_1292,type,
sK3: fun(nat,fun(nat,bool)) > nat ).
tff(func_def_1293,type,
sK4: fun(nat,fun(nat,bool)) > nat ).
tff(func_def_1294,type,
sK5:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,nat) * nat ) > X0 ) ).
tff(func_def_1295,type,
sK6:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).
tff(func_def_1296,type,
sK7: ( nat * nat ) > nat ).
tff(func_def_1297,type,
sK8: ( nat * nat ) > nat ).
tff(func_def_1298,type,
sK9: ( nat * nat ) > nat ).
tff(func_def_1299,type,
sK10: fun(nat,nat) > nat ).
tff(func_def_1300,type,
sK11: fun(nat,nat) > nat ).
tff(func_def_1301,type,
sK12:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) ) > X1 ) ).
tff(func_def_1302,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,fun(X0,bool)) ) > X0 ) ).
tff(func_def_1303,type,
sK14:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,nat) ) > X0 ) ).
tff(func_def_1304,type,
sK15:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(func_def_1305,type,
sK16: fun(nat,bool) > nat ).
tff(func_def_1306,type,
sK17: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_1307,type,
sK18: fun(nat,bool) > nat ).
tff(func_def_1308,type,
sK19: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_1309,type,
sK20:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).
tff(func_def_1310,type,
sK21:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).
tff(func_def_1311,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X1 ) ).
tff(func_def_1312,type,
sK23:
!>[X0: $tType,X1: $tType] : ( ( set(product_prod(X1,X0)) * set(product_prod(X1,X0)) ) > X0 ) ).
tff(func_def_1313,type,
sK24: product_prod(nat,nat) > nat ).
tff(func_def_1314,type,
sK25: product_prod(nat,nat) > nat ).
tff(func_def_1315,type,
sK26:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).
tff(func_def_1316,type,
sK27:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).
tff(func_def_1317,type,
sK28:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).
tff(func_def_1318,type,
sK29:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).
tff(func_def_1319,type,
sK30:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).
tff(func_def_1320,type,
sK31:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).
tff(func_def_1321,type,
sK32:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).
tff(func_def_1322,type,
sK33:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).
tff(func_def_1323,type,
sK34:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).
tff(func_def_1324,type,
sK35:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).
tff(func_def_1325,type,
sK36:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).
tff(func_def_1326,type,
sK37:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).
tff(func_def_1327,type,
sK38:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).
tff(func_def_1328,type,
sK39:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).
tff(func_def_1329,type,
sK40:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).
tff(func_def_1330,type,
sK41:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).
tff(func_def_1331,type,
sK42:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).
tff(func_def_1332,type,
sK43:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).
tff(func_def_1333,type,
sK44:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).
tff(func_def_1334,type,
sK45:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).
tff(func_def_1335,type,
sK46:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).
tff(func_def_1336,type,
sK47:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).
tff(func_def_1337,type,
sK48:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X2 ) ).
tff(func_def_1338,type,
sK49:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X1 ) ).
tff(func_def_1339,type,
sK50:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X2,product_prod(X1,X0)),bool) > X0 ) ).
tff(func_def_1340,type,
sK51:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).
tff(func_def_1341,type,
sK52:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).
tff(func_def_1342,type,
sK53:
!>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).
tff(func_def_1343,type,
sK54:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),bool) > X1 ) ).
tff(func_def_1344,type,
sK55:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X1,X0),bool) > X0 ) ).
tff(func_def_1345,type,
sK56:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_1346,type,
sK57:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_1347,type,
sK58:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).
tff(func_def_1348,type,
sK59:
!>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).
tff(func_def_1349,type,
sK60:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X3 ) ).
tff(func_def_1350,type,
sK61:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X2 ) ).
tff(func_def_1351,type,
sK62:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X1 ) ).
tff(func_def_1352,type,
sK63:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( fun(product_prod(X3,product_prod(X2,product_prod(X1,X0))),bool) > X0 ) ).
tff(func_def_1353,type,
sK64:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X4 ) ).
tff(func_def_1354,type,
sK65:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X3 ) ).
tff(func_def_1355,type,
sK66:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X2 ) ).
tff(func_def_1356,type,
sK67:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X1 ) ).
tff(func_def_1357,type,
sK68:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( fun(product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))),bool) > X0 ) ).
tff(func_def_1358,type,
sK69:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X5 ) ).
tff(func_def_1359,type,
sK70:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X4 ) ).
tff(func_def_1360,type,
sK71:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X3 ) ).
tff(func_def_1361,type,
sK72:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X2 ) ).
tff(func_def_1362,type,
sK73:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X1 ) ).
tff(func_def_1363,type,
sK74:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( fun(product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))),bool) > X0 ) ).
tff(func_def_1364,type,
sK75:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X6 ) ).
tff(func_def_1365,type,
sK76:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X5 ) ).
tff(func_def_1366,type,
sK77:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X4 ) ).
tff(func_def_1367,type,
sK78:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X3 ) ).
tff(func_def_1368,type,
sK79:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X2 ) ).
tff(func_def_1369,type,
sK80:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X1 ) ).
tff(func_def_1370,type,
sK81:
!>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( fun(product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))),bool) > X0 ) ).
tff(func_def_1371,type,
sK82:
!>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > fun(nat,fun(X0,X0)) ) ).
tff(func_def_1372,type,
sK83:
!>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).
tff(func_def_1373,type,
sK84:
!>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).
tff(func_def_1374,type,
sK85:
!>[X0: $tType] : ( product_prod(fun(nat,fun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).
tff(func_def_1375,type,
sK86: ( vEBT_VEBT * nat ) > option(product_prod(nat,nat)) ).
tff(func_def_1376,type,
sK87: ( vEBT_VEBT * nat ) > nat ).
tff(func_def_1377,type,
sK88: ( vEBT_VEBT * nat ) > list(vEBT_VEBT) ).
tff(func_def_1378,type,
sK89: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(func_def_1379,type,
sK90: vEBT_VEBT > bool ).
tff(func_def_1380,type,
sK91: vEBT_VEBT > bool ).
tff(pred_def_1,type,
bounded_lattice:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
type:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
size:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
dvd:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
plus:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
numeral:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
field:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
ring_gcd:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
minus:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
abs_if:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
uminus:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
inverse:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
neg_numeral:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
comm_ring:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_26,type,
semiring_Gcd:
!>[X0: $tType] : $o ).
tff(pred_def_27,type,
semiring_gcd:
!>[X0: $tType] : $o ).
tff(pred_def_28,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_29,type,
lattice:
!>[X0: $tType] : $o ).
tff(pred_def_30,type,
no_bot:
!>[X0: $tType] : $o ).
tff(pred_def_31,type,
no_top:
!>[X0: $tType] : $o ).
tff(pred_def_32,type,
semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_33,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_34,type,
monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_35,type,
comm_ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_36,type,
idom_divide:
!>[X0: $tType] : $o ).
tff(pred_def_37,type,
idom_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_38,type,
ln:
!>[X0: $tType] : $o ).
tff(pred_def_39,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_40,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_41,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_42,type,
ring_parity:
!>[X0: $tType] : $o ).
tff(pred_def_43,type,
idom_abs_sgn:
!>[X0: $tType] : $o ).
tff(pred_def_44,type,
ordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_45,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_46,type,
field_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_47,type,
ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_48,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_49,type,
order_bot:
!>[X0: $tType] : $o ).
tff(pred_def_50,type,
order_top:
!>[X0: $tType] : $o ).
tff(pred_def_51,type,
wellorder:
!>[X0: $tType] : $o ).
tff(pred_def_52,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_53,type,
zero_less_one:
!>[X0: $tType] : $o ).
tff(pred_def_54,type,
division_ring:
!>[X0: $tType] : $o ).
tff(pred_def_55,type,
field_abs_sgn:
!>[X0: $tType] : $o ).
tff(pred_def_56,type,
semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_57,type,
semiring_numeral:
!>[X0: $tType] : $o ).
tff(pred_def_58,type,
semidom_divide:
!>[X0: $tType] : $o ).
tff(pred_def_59,type,
semidom_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_60,type,
semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_61,type,
dense_order:
!>[X0: $tType] : $o ).
tff(pred_def_62,type,
comm_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_63,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_64,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_65,type,
linordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_66,type,
semiring_modulo:
!>[X0: $tType] : $o ).
tff(pred_def_67,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_68,type,
semiring_parity:
!>[X0: $tType] : $o ).
tff(pred_def_69,type,
ordered_ring_abs:
!>[X0: $tType] : $o ).
tff(pred_def_70,type,
ordered_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_71,type,
linordered_field:
!>[X0: $tType] : $o ).
tff(pred_def_72,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_73,type,
comm_monoid_diff:
!>[X0: $tType] : $o ).
tff(pred_def_74,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_75,type,
algebraic_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_76,type,
semiring_1_cancel:
!>[X0: $tType] : $o ).
tff(pred_def_77,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_78,type,
semilattice_inf:
!>[X0: $tType] : $o ).
tff(pred_def_79,type,
semilattice_sup:
!>[X0: $tType] : $o ).
tff(pred_def_80,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_81,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_82,type,
ordered_semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_83,type,
real_Vector_banach:
!>[X0: $tType] : $o ).
tff(pred_def_84,type,
linordered_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_85,type,
finite8700451911770168679attice:
!>[X0: $tType] : $o ).
tff(pred_def_86,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_87,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_88,type,
linord6961819062388156250ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_89,type,
ordere2520102378445227354miring:
!>[X0: $tType] : $o ).
tff(pred_def_90,type,
topological_t2_space:
!>[X0: $tType] : $o ).
tff(pred_def_91,type,
topological_t3_space:
!>[X0: $tType] : $o ).
tff(pred_def_92,type,
topological_t4_space:
!>[X0: $tType] : $o ).
tff(pred_def_93,type,
bit_semiring_bits:
!>[X0: $tType] : $o ).
tff(pred_def_94,type,
topolo1633459387980952147up_add:
!>[X0: $tType] : $o ).
tff(pred_def_95,type,
real_V6936659425649961206t_norm:
!>[X0: $tType] : $o ).
tff(pred_def_96,type,
comm_s4317794764714335236cancel:
!>[X0: $tType] : $o ).
tff(pred_def_97,type,
linord4710134922213307826strict:
!>[X0: $tType] : $o ).
tff(pred_def_98,type,
cancel1802427076303600483id_add:
!>[X0: $tType] : $o ).
tff(pred_def_99,type,
topolo6943815403480290642id_add:
!>[X0: $tType] : $o ).
tff(pred_def_100,type,
real_V7773925162809079976_field:
!>[X0: $tType] : $o ).
tff(pred_def_101,type,
ring_15535105094025558882visors:
!>[X0: $tType] : $o ).
tff(pred_def_102,type,
cancel2418104881723323429up_add:
!>[X0: $tType] : $o ).
tff(pred_def_103,type,
linord5086331880401160121up_add:
!>[X0: $tType] : $o ).
tff(pred_def_104,type,
ordere6911136660526730532id_add:
!>[X0: $tType] : $o ).
tff(pred_def_105,type,
topolo1898628316856586783d_mult:
!>[X0: $tType] : $o ).
tff(pred_def_106,type,
real_V4867850818363320053vector:
!>[X0: $tType] : $o ).
tff(pred_def_107,type,
archim2362893244070406136eiling:
!>[X0: $tType] : $o ).
tff(pred_def_108,type,
semiri6843258321239162965malize:
!>[X0: $tType] : $o ).
tff(pred_def_109,type,
ordere166539214618696060dd_abs:
!>[X0: $tType] : $o ).
tff(pred_def_110,type,
ordere6658533253407199908up_add:
!>[X0: $tType] : $o ).
tff(pred_def_111,type,
topolo1287966508704411220up_add:
!>[X0: $tType] : $o ).
tff(pred_def_112,type,
real_V7819770556892013058_space:
!>[X0: $tType] : $o ).
tff(pred_def_113,type,
real_V6157519004096292374lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_114,type,
semiri3467727345109120633visors:
!>[X0: $tType] : $o ).
tff(pred_def_115,type,
boolea8198339166811842893lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_116,type,
linord8928482502909563296strict:
!>[X0: $tType] : $o ).
tff(pred_def_117,type,
topolo7287701948861334536_space:
!>[X0: $tType] : $o ).
tff(pred_def_118,type,
euclid5891614535332579305n_ring:
!>[X0: $tType] : $o ).
tff(pred_def_119,type,
topolo4211221413907600880p_mult:
!>[X0: $tType] : $o ).
tff(pred_def_120,type,
real_V8037385150606011577_space:
!>[X0: $tType] : $o ).
tff(pred_def_121,type,
real_V2191834092415804123ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_122,type,
linord181362715937106298miring:
!>[X0: $tType] : $o ).
tff(pred_def_123,type,
semiri2026040879449505780visors:
!>[X0: $tType] : $o ).
tff(pred_def_124,type,
topolo2564578578187576103pology:
!>[X0: $tType] : $o ).
tff(pred_def_125,type,
bit_ri3973907225187159222ations:
!>[X0: $tType] : $o ).
tff(pred_def_126,type,
comple6319245703460814977attice:
!>[X0: $tType] : $o ).
tff(pred_def_127,type,
linord4140545234300271783up_add:
!>[X0: $tType] : $o ).
tff(pred_def_128,type,
topolo5987344860129210374id_add:
!>[X0: $tType] : $o ).
tff(pred_def_129,type,
unboun7993243217541854897norder:
!>[X0: $tType] : $o ).
tff(pred_def_130,type,
linord715952674999750819strict:
!>[X0: $tType] : $o ).
tff(pred_def_131,type,
archim462609752435547400_field:
!>[X0: $tType] : $o ).
tff(pred_def_132,type,
comple5582772986160207858norder:
!>[X0: $tType] : $o ).
tff(pred_def_133,type,
topolo4987421752381908075d_mult:
!>[X0: $tType] : $o ).
tff(pred_def_134,type,
real_V5047593784448816457lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_135,type,
bounde4346867609351753570nf_top:
!>[X0: $tType] : $o ).
tff(pred_def_136,type,
bounde4967611905675639751up_bot:
!>[X0: $tType] : $o ).
tff(pred_def_137,type,
real_V3459762299906320749_field:
!>[X0: $tType] : $o ).
tff(pred_def_138,type,
topolo1944317154257567458pology:
!>[X0: $tType] : $o ).
tff(pred_def_139,type,
topolo4958980785337419405_space:
!>[X0: $tType] : $o ).
tff(pred_def_140,type,
euclid3725896446679973847miring:
!>[X0: $tType] : $o ).
tff(pred_def_141,type,
canoni5634975068530333245id_add:
!>[X0: $tType] : $o ).
tff(pred_def_142,type,
ordere8940638589300402666id_add:
!>[X0: $tType] : $o ).
tff(pred_def_143,type,
strict7427464778891057005id_add:
!>[X0: $tType] : $o ).
tff(pred_def_144,type,
real_V822414075346904944vector:
!>[X0: $tType] : $o ).
tff(pred_def_145,type,
linord2810124833399127020strict:
!>[X0: $tType] : $o ).
tff(pred_def_146,type,
bit_se359711467146920520ations:
!>[X0: $tType] : $o ).
tff(pred_def_147,type,
ordere2412721322843649153imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_148,type,
ordere580206878836729694up_add:
!>[X0: $tType] : $o ).
tff(pred_def_149,type,
ordere1170586879665033532d_diff:
!>[X0: $tType] : $o ).
tff(pred_def_150,type,
strict9044650504122735259up_add:
!>[X0: $tType] : $o ).
tff(pred_def_151,type,
real_V5355595471888546746vector:
!>[X0: $tType] : $o ).
tff(pred_def_152,type,
real_V4412858255891104859lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_153,type,
semiri6575147826004484403cancel:
!>[X0: $tType] : $o ).
tff(pred_def_154,type,
euclid8851590272496341667cancel:
!>[X0: $tType] : $o ).
tff(pred_def_155,type,
real_V2822296259951069270ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_156,type,
unique1627219031080169319umeral:
!>[X0: $tType] : $o ).
tff(pred_def_157,type,
comple592849572758109894attice:
!>[X0: $tType] : $o ).
tff(pred_def_158,type,
real_V8999393235501362500lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_159,type,
topolo3112930676232923870pology:
!>[X0: $tType] : $o ).
tff(pred_def_160,type,
euclid4440199948858584721cancel:
!>[X0: $tType] : $o ).
tff(pred_def_161,type,
euclid3128863361964157862miring:
!>[X0: $tType] : $o ).
tff(pred_def_162,type,
topolo8458572112393995274pology:
!>[X0: $tType] : $o ).
tff(pred_def_163,type,
ordere1937475149494474687imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_164,type,
condit5016429287641298734tinuum:
!>[X0: $tType] : $o ).
tff(pred_def_165,type,
euclid8789492081693882211th_nat:
!>[X0: $tType] : $o ).
tff(pred_def_166,type,
euclid5411537665997757685th_nat:
!>[X0: $tType] : $o ).
tff(pred_def_167,type,
counta3822494911875563373attice:
!>[X0: $tType] : $o ).
tff(pred_def_168,type,
semiri1453513574482234551roduct:
!>[X0: $tType] : $o ).
tff(pred_def_169,type,
bit_un5681908812861735899ations:
!>[X0: $tType] : $o ).
tff(pred_def_170,type,
condit1219197933456340205attice:
!>[X0: $tType] : $o ).
tff(pred_def_171,type,
condit6923001295902523014norder:
!>[X0: $tType] : $o ).
tff(pred_def_172,type,
boolea2506097494486148201lgebra:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,fun(X0,X0)) * fun(X0,X0) * X0 * X0 ) > $o ) ).
tff(pred_def_173,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_174,type,
differentiable:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).
tff(pred_def_175,type,
has_derivative:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,X1) * filter(X0) ) > $o ) ).
tff(pred_def_176,type,
has_field_derivative:
!>[X0: $tType] : ( ( fun(X0,X0) * X0 * filter(X0) ) > $o ) ).
tff(pred_def_177,type,
eucl_rel_int: ( int * int * product_prod(int,int) ) > $o ).
tff(pred_def_178,type,
unique5940410009612947441es_aux:
!>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).
tff(pred_def_179,type,
eventually:
!>[X0: $tType] : ( ( fun(X0,bool) * filter(X0) ) > $o ) ).
tff(pred_def_180,type,
filterlim:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X1) * filter(X0) ) > $o ) ).
tff(pred_def_181,type,
finite6289374366891150609ommute:
!>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X1)) > $o ) ).
tff(pred_def_182,type,
finite4664212375090638736ute_on:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).
tff(pred_def_183,type,
finite673082921795544331dem_on:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,fun(X1,X1)) ) > $o ) ).
tff(pred_def_184,type,
finite_finite:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_185,type,
bij_betw:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) * set(X1) ) > $o ) ).
tff(pred_def_186,type,
inj_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).
tff(pred_def_187,type,
strict_mono_on:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * set(X0) ) > $o ) ).
tff(pred_def_188,type,
nO_MATCH:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > $o ) ).
tff(pred_def_189,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_190,type,
bfun:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * filter(X0) ) > $o ) ).
tff(pred_def_191,type,
distinct:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_192,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_193,type,
sorted_wrt:
!>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) ) > $o ) ).
tff(pred_def_194,type,
ring_1_iszero:
!>[X0: $tType] : ( X0 > $o ) ).
tff(pred_def_195,type,
order_679001287576687338der_on:
!>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).
tff(pred_def_196,type,
order_5396836661320670305der_on:
!>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).
tff(pred_def_197,type,
order_antimono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_198,type,
order_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_199,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_200,type,
ratrel: ( product_prod(int,int) * product_prod(int,int) ) > $o ).
tff(pred_def_201,type,
real_V3181309239436604168linear:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_202,type,
real_V4916620083959148203axioms:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_203,type,
refl_on:
!>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).
tff(pred_def_204,type,
total_on:
!>[X0: $tType] : ( ( set(X0) * set(product_prod(X0,X0)) ) > $o ) ).
tff(pred_def_205,type,
summable:
!>[X0: $tType] : ( fun(nat,X0) > $o ) ).
tff(pred_def_206,type,
sums:
!>[X0: $tType] : ( ( fun(nat,X0) * X0 ) > $o ) ).
tff(pred_def_207,type,
topolo3448309680560233919inuous:
!>[X0: $tType,X1: $tType] : ( ( filter(X0) * fun(X0,X1) ) > $o ) ).
tff(pred_def_208,type,
topolo81223032696312382ous_on:
!>[X0: $tType,X1: $tType] : ( ( set(X0) * fun(X0,X1) ) > $o ) ).
tff(pred_def_209,type,
topological_monoseq:
!>[X0: $tType] : ( fun(nat,X0) > $o ) ).
tff(pred_def_210,type,
topolo1002775350975398744n_open:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_211,type,
topolo7761053866217962861closed:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_212,type,
topolo2193935891317330818ompact:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_213,type,
topolo3814608138187158403Cauchy:
!>[X0: $tType] : ( fun(nat,X0) > $o ) ).
tff(pred_def_214,type,
topolo6688025880775521714ounded:
!>[X0: $tType] : ( set(X0) > $o ) ).
tff(pred_def_215,type,
vEBT_V5917875025757280293ildren: ( nat * list(vEBT_VEBT) * nat ) > $o ).
tff(pred_def_216,type,
vEBT_VEBT_membermima: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_217,type,
vEBT_V5719532721284313246member: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_218,type,
vEBT_VEBT_valid: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_219,type,
vEBT_invar_vebt: ( vEBT_VEBT * nat ) > $o ).
tff(pred_def_220,type,
vEBT_VEBT_lesseq: ( option(nat) * option(nat) ) > $o ).
tff(pred_def_221,type,
vEBT_VEBT_max_in_set: ( set(nat) * nat ) > $o ).
tff(pred_def_222,type,
vEBT_VEBT_min_in_set: ( set(nat) * nat ) > $o ).
tff(pred_def_223,type,
vEBT_is_pred_in_set: ( set(nat) * nat * nat ) > $o ).
tff(pred_def_224,type,
vEBT_is_succ_in_set: ( set(nat) * nat * nat ) > $o ).
tff(pred_def_225,type,
pp: bool > $o ).
tff(f6,axiom,
! [X0: vEBT_VEBT,X1: list(vEBT_VEBT),X2: option(product_prod(nat,nat)),X3: nat,X4: vEBT_VEBT] :
( pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))
=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(X2,X3,X1,X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_height__compose__child) ).
tff(f7,axiom,
pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062T_092_060_094sub_062i_092_060_094sub_062n_092_060_094sub_062s_092_060_094sub_062e_092_060_094sub_062r_092_060_094sub_062t_H_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ax_A_092_060le_062_A1_A_L_A_I1_A_L_Aheight_A_ItreeList_A_B_Ahigh_A_Iif_Ax_A_060_Ami_Athen_Ami_Aelse_Ax_J_A_Ideg_Adiv_A2_J_J_J_092_060close_062) ).
tff(f10,axiom,
pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__092_060open_062treeList_A_B_Ahigh_A_Iif_Ax_A_060_Ami_Athen_Ami_Aelse_Ax_J_A_Ideg_Adiv_A2_J_A_092_060in_062_Aset_AtreeList_092_060close_062) ).
tff(f11,axiom,
! [X0: nat,X1: nat,X2: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X2)))
<=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_nat__add__left__cancel__le) ).
tff(f85,axiom,
! [X0: nat,X1: nat,X2: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1))
=> ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))
=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_le__trans) ).
tff(f9863,conjecture,
pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f9864,negated_conjecture,
~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))),
inference(negated_conjecture,[status(cth)],[f9863]) ).
tff(f9865,plain,
~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))),
inference(flattening,[],[f9864]) ).
tff(f9914,plain,
! [X0: nat,X1: nat,X2: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1)) ),
inference(ennf_transformation,[],[f85]) ).
tff(f9915,plain,
! [X0: nat,X1: nat,X2: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1)) ),
inference(flattening,[],[f9914]) ).
tff(f9944,plain,
! [X0: vEBT_VEBT,X1: list(vEBT_VEBT),X2: option(product_prod(nat,nat)),X3: nat,X4: vEBT_VEBT] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(X2,X3,X1,X4))))
| ~ pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1))) ),
inference(ennf_transformation,[],[f6]) ).
tff(f9967,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X2)))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)) )
& ( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X2))) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f10003,plain,
~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))),
inference(cnf_transformation,[],[f9865]) ).
tff(f10055,plain,
! [X2: nat,X0: nat,X1: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X1)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),X0),X2)))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)) ),
inference(cnf_transformation,[],[f9967]) ).
tff(f10076,plain,
! [X2: nat,X0: nat,X1: nat] :
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))
| ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),X0),X1)) ),
inference(cnf_transformation,[],[f9915]) ).
tff(f10133,plain,
! [X2: option(product_prod(nat,nat)),X3: nat,X0: vEBT_VEBT,X1: list(vEBT_VEBT),X4: vEBT_VEBT] :
( ~ pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),X0),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),X1)))
| pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,X0))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(X2,X3,X1,X4)))) ),
inference(cnf_transformation,[],[f9944]) ).
tff(f10145,plain,
pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))))),
inference(cnf_transformation,[],[f7]) ).
tff(f10151,plain,
pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))),
inference(cnf_transformation,[],[f10]) ).
tff(f10174,definition,
( spl92_1
<=> pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList))) ),
introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).
tff(f10176,plain,
( pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)))
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f10174]) ).
tff(f10177,plain,
spl92_1,
inference(avatar_split_clause,[],[f10151,f10174]) ).
tff(f10199,definition,
( spl92_6
<=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))))) ),
introduced(definition,[new_symbols(definition,[spl92_6])],[avatar_definition]) ).
tff(f10201,plain,
( pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))))
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f10199]) ).
tff(f10202,plain,
spl92_6,
inference(avatar_split_clause,[],[f10145,f10199]) ).
tff(f10255,definition,
( spl92_17
<=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))) ),
introduced(definition,[new_symbols(definition,[spl92_17])],[avatar_definition]) ).
tff(f10257,plain,
( ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),vEBT_T_i_n_s_e_r_t2(vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary),xa)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)))))
| spl92_17 ),
inference(avatar_component_clause,[],[f10255]) ).
tff(f10258,plain,
~ spl92_17,
inference(avatar_split_clause,[],[f10003,f10255]) ).
tff(f11557,plain,
( ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2))))))))),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)))))
| ~ spl92_6
| spl92_17 ),
inference(unit_resulting_resolution,[],[f10076,f10201,f10257]) ).
tff(f11605,plain,
( ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))
| ~ spl92_6
| spl92_17 ),
inference(forward_literal_rewriting,[],[f11557,f10055]) ).
tff(f11622,definition,
( spl92_108
<=> pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary)))) ),
introduced(definition,[new_symbols(definition,[spl92_108])],[avatar_definition]) ).
tff(f11624,plain,
( ~ pp(aa(nat,bool,aa(nat,fun(nat,bool),ord_less_eq(nat),aa(nat,nat,aa(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),aa(vEBT_VEBT,nat,vEBT_VEBT_height,aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))))),aa(vEBT_VEBT,nat,vEBT_VEBT_height,vEBT_Node(aa(product_prod(nat,nat),option(product_prod(nat,nat)),some(product_prod(nat,nat)),aa(nat,product_prod(nat,nat),aa(nat,fun(nat,product_prod(nat,nat)),product_Pair(nat,nat),mi),ma)),deg,treeList,summary))))
| spl92_108 ),
inference(avatar_component_clause,[],[f11622]) ).
tff(f11625,plain,
( ~ spl92_108
| ~ spl92_6
| spl92_17 ),
inference(avatar_split_clause,[],[f11605,f10255,f10199,f11622]) ).
tff(f13007,plain,
( ~ pp(aa(set(vEBT_VEBT),bool,aa(vEBT_VEBT,fun(set(vEBT_VEBT),bool),member(vEBT_VEBT),aa(nat,vEBT_VEBT,nth(vEBT_VEBT,treeList),vEBT_VEBT_high(if(nat,aa(nat,bool,aa(nat,fun(nat,bool),ord_less(nat),xa),mi),mi,xa),divide_divide(nat,deg,aa(num,nat,numeral_numeral(nat),aa(num,num,bit0,one2)))))),aa(list(vEBT_VEBT),set(vEBT_VEBT),set2(vEBT_VEBT),treeList)))
| spl92_108 ),
inference(unit_resulting_resolution,[],[f10133,f11624]) ).
tff(f13011,plain,
( $false
| ~ spl92_1
| spl92_108 ),
inference(forward_subsumption_resolution,[],[f13007,f10176]) ).
tff(f13012,plain,
( ~ spl92_1
| spl92_108 ),
inference(avatar_contradiction_clause,[],[f13011]) ).
cnf(s1,plain,
spl92_1,
inference(sat_conversion,[],[f10177]) ).
cnf(s6,plain,
spl92_6,
inference(sat_conversion,[],[f10202]) ).
cnf(s19,plain,
~ spl92_17,
inference(sat_conversion,[],[f10258]) ).
cnf(s135,plain,
( ~ spl92_6
| spl92_17
| ~ spl92_108 ),
inference(sat_conversion,[],[f11625]) ).
cnf(s199,plain,
( ~ spl92_1
| spl92_108 ),
inference(sat_conversion,[],[f13012]) ).
cnf(s288,plain,
~ spl92_108,
inference(rat,[],[s135,s19,s6]) ).
cnf(s294,plain,
~ spl92_1,
inference(rat,[],[s199,s288]) ).
cnf(s310,plain,
$false,
inference(rat,[],[s1,s294]) ).
tff(f13013,plain,
$false,
inference(avatar_sat_refutation,[],[s310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP251_2 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 12:41:32 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 11.62/3.55 % (2584854)Detected formulas, will run a generic FOF schedule.
% 11.62/3.55 % (2584868)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3253152521:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 11.62/3.55 % (2584868)Instruction limit reached!
% 11.62/3.55 % (2584868)------------------------------
% 11.62/3.55 % (2584868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.55 % (2584868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.55 % (2584868)CaDiCaL version: 2.1.3
% 11.62/3.55 % (2584868)Termination reason: Instruction limit
% 11.62/3.55 % (2584868)Termination phase: Property scanning
% 11.62/3.55 % (2584868)Time elapsed: 0.043 s
% 11.62/3.55 % (2584868)Peak memory usage: 99 MB
% 11.62/3.55 % (2584868)Instructions burned: 113 (million)
% 11.62/3.55 % (2584867)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=1941734345:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 11.62/3.55 % (2584866)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=3858249842:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 11.62/3.55 % (2584865)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=963814087:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 11.62/3.55 % (2584870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1637286265:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 11.62/3.55 % (2584869)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3234311757:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 11.62/3.55 % (2584871)dis-21_1_sil=8000:lcm=predicate:random_seed=2223004625:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 11.62/3.55 % (2584870)Instruction limit reached!
% 11.62/3.55 % (2584870)------------------------------
% 11.62/3.55 % (2584870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.55 % (2584870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.55 % (2584870)CaDiCaL version: 2.1.3
% 11.62/3.55 % (2584870)Termination reason: Instruction limit
% 11.62/3.55 % (2584870)Termination phase: Property scanning
% 11.62/3.55 % (2584870)Time elapsed: 0.054 s
% 11.62/3.55 % (2584870)Peak memory usage: 97 MB
% 11.62/3.55 % (2584870)Instructions burned: 139 (million)
% 11.62/3.55 % (2584869)Instruction limit reached!
% 11.62/3.55 % (2584869)------------------------------
% 11.62/3.55 % (2584869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.55 % (2584869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.55 % (2584869)CaDiCaL version: 2.1.3
% 11.62/3.55 % (2584869)Termination reason: Instruction limit
% 11.62/3.55 % (2584869)Termination phase: Preprocessing 1
% 11.62/3.55 % (2584869)Time elapsed: 0.077 s
% 11.62/3.55 % (2584869)Peak memory usage: 97 MB
% 11.62/3.55 % (2584869)Instructions burned: 119 (million)
% 11.62/3.55 % (2584871)Instruction limit reached!
% 11.62/3.55 % (2584871)------------------------------
% 11.62/3.55 % (2584871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.55 % (2584871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.55 % (2584871)CaDiCaL version: 2.1.3
% 11.62/3.55 % (2584871)Termination reason: Instruction limit
% 11.62/3.55 % (2584871)Termination phase: Preprocessing 1
% 11.62/3.55 % (2584871)Time elapsed: 0.081 s
% 11.62/3.55 % (2584871)Peak memory usage: 97 MB
% 11.62/3.55 % (2584871)Instructions burned: 130 (million)
% 11.62/3.55 % (2584876)lrs+10_1_sil=8000:sp=occurrence:random_seed=268018989:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 11.62/3.55 % (2584876)Instruction limit reached!
% 11.62/3.55 % (2584876)------------------------------
% 11.62/3.55 % (2584876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.55 % (2584876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.55 % (2584876)CaDiCaL version: 2.1.3
% 11.62/3.55 % (2584876)Termination reason: Instruction limit
% 11.62/3.55 % (2584876)Termination phase: Property scanning
% 11.62/3.55 % (2584876)Time elapsed: 0.090 s
% 11.62/3.55 % (2584876)Peak memory usage: 101 MB
% 11.62/3.55 % (2584876)Instructions burned: 289 (million)
% 13.79/4.03 % (2584880)lrs+10_1_sil=32000:urr=on:br=off:random_seed=68136387:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 13.79/4.03 % (2584882)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=635845382:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 13.79/4.03 % (2584881)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3011031545:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 13.79/4.03 % (2584880)Instruction limit reached!
% 13.79/4.03 % (2584880)------------------------------
% 13.79/4.03 % (2584880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/4.03 % (2584880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/4.03 % (2584880)CaDiCaL version: 2.1.3
% 13.79/4.03 % (2584880)Termination reason: Instruction limit
% 13.79/4.03 % (2584880)Termination phase: Property scanning
% 13.79/4.03 % (2584880)Time elapsed: 0.063 s
% 13.79/4.03 % (2584880)Peak memory usage: 97 MB
% 13.79/4.03 % (2584880)Instructions burned: 159 (million)
% 13.79/4.03 % (2584882)Instruction limit reached!
% 13.79/4.03 % (2584882)------------------------------
% 13.79/4.03 % (2584882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/4.03 % (2584882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/4.03 % (2584882)CaDiCaL version: 2.1.3
% 13.79/4.03 % (2584882)Termination reason: Instruction limit
% 13.79/4.03 % (2584882)Termination phase: Property scanning
% 13.79/4.03 % (2584882)Time elapsed: 0.098 s
% 13.79/4.03 % (2584882)Peak memory usage: 97 MB
% 13.79/4.03 % (2584882)Instructions burned: 250 (million)
% 13.79/4.03 % (2584884)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2005819308:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 13.79/4.03 % (2584888)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1361998760:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 13.79/4.03 % (2584884)Instruction limit reached!
% 13.79/4.03 % (2584884)------------------------------
% 13.79/4.03 % (2584884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/4.03 % (2584884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/4.03 % (2584884)CaDiCaL version: 2.1.3
% 13.79/4.03 % (2584884)Termination reason: Instruction limit
% 13.79/4.03 % (2584884)Termination phase: Property scanning
% 13.79/4.03 % (2584884)Time elapsed: 0.095 s
% 13.79/4.03 % (2584884)Peak memory usage: 101 MB
% 13.79/4.03 % (2584884)Instructions burned: 297 (million)
% 13.79/4.03 % (2584881)Instruction limit reached!
% 13.79/4.03 % (2584881)------------------------------
% 13.79/4.03 % (2584881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/4.03 % (2584881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/4.03 % (2584881)CaDiCaL version: 2.1.3
% 13.79/4.03 % (2584881)Termination reason: Instruction limit
% 13.79/4.03 % (2584881)Termination phase: Saturation
% 13.79/4.03 % (2584881)Time elapsed: 0.203 s
% 13.79/4.03 % (2584881)Peak memory usage: 103 MB
% 13.79/4.03 % (2584881)Instructions burned: 325 (million)
% 13.79/4.03 % (2584890)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2502497618:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 13.79/4.03 % (2584892)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2515819337:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 13.79/4.03 % (2584890)Instruction limit reached!
% 13.79/4.03 % (2584890)------------------------------
% 13.79/4.03 % (2584890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/4.03 % (2584890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/4.03 % (2584890)CaDiCaL version: 2.1.3
% 13.79/4.03 % (2584890)Termination reason: Instruction limit
% 13.79/4.03 % (2584890)Termination phase: Preprocessing 1
% 13.79/4.03 % (2584890)Time elapsed: 0.077 s
% 13.79/4.03 % (2584890)Peak memory usage: 98 MB
% 13.79/4.03 % (2584890)Instructions burned: 113 (million)
% 13.79/4.03 % (2584893)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3594625372:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 13.79/4.03 % (2584892)Instruction limit reached!
% 13.79/4.03 % (2584892)------------------------------
% 13.79/4.03 % (2584892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584892)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584892)Termination reason: Instruction limit
% 18.74/4.69 % (2584892)Termination phase: Naming
% 18.74/4.69 % (2584892)Time elapsed: 0.053 s
% 18.74/4.69 % (2584892)Peak memory usage: 102 MB
% 18.74/4.69 % (2584892)Instructions burned: 132 (million)
% 18.74/4.69 % (2584893)Instruction limit reached!
% 18.74/4.69 % (2584893)------------------------------
% 18.74/4.69 % (2584893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584893)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584893)Termination reason: Instruction limit
% 18.74/4.69 % (2584893)Termination phase: Property scanning
% 18.74/4.69 % (2584893)Time elapsed: 0.046 s
% 18.74/4.69 % (2584893)Peak memory usage: 97 MB
% 18.74/4.69 % (2584893)Instructions burned: 116 (million)
% 18.74/4.69 % (2584898)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1958411186:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 18.74/4.69 % (2584896)lrs+10_1_sil=8000:sp=occurrence:random_seed=988532811:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 18.74/4.69 % (2584899)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1201725348:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 18.74/4.69 % (2584898)Instruction limit reached!
% 18.74/4.69 % (2584898)------------------------------
% 18.74/4.69 % (2584898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584898)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584898)Termination reason: Instruction limit
% 18.74/4.69 % (2584898)Termination phase: Preprocessing 3
% 18.74/4.69 % (2584898)Time elapsed: 0.146 s
% 18.74/4.69 % (2584898)Peak memory usage: 106 MB
% 18.74/4.69 % (2584898)Instructions burned: 439 (million)
% 18.74/4.69 % (2584903)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=11856123:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 18.74/4.69 % (2584903)Instruction limit reached!
% 18.74/4.69 % (2584903)------------------------------
% 18.74/4.69 % (2584903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584903)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584903)Termination reason: Instruction limit
% 18.74/4.69 % (2584903)Termination phase: Preprocessing 1
% 18.74/4.69 % (2584903)Time elapsed: 0.048 s
% 18.74/4.69 % (2584903)Peak memory usage: 98 MB
% 18.74/4.69 % (2584903)Instructions burned: 135 (million)
% 18.74/4.69 % (2584867)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.74/4.69 % (2584896)Instruction limit reached!
% 18.74/4.69 % (2584896)------------------------------
% 18.74/4.69 % (2584896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584896)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584896)Termination reason: Instruction limit
% 18.74/4.69 % (2584896)Termination phase: Property scanning
% 18.74/4.69 % (2584896)Time elapsed: 0.436 s
% 18.74/4.69 % (2584896)Peak memory usage: 105 MB
% 18.74/4.69 % (2584896)Instructions burned: 907 (million)
% 18.74/4.69 % (2584905)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3526603764:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 18.74/4.69 % Exception at run slice level
% 18.74/4.69 User error: GNN currently only supports monomorphic FOL.
% 18.74/4.69 % (2584907)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2082506490:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 18.74/4.69 % (2584905)Instruction limit reached!
% 18.74/4.69 % (2584905)------------------------------
% 18.74/4.69 % (2584905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.74/4.69 % (2584905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.74/4.69 % (2584905)CaDiCaL version: 2.1.3
% 18.74/4.69 % (2584905)Termination reason: Instruction limit
% 18.74/4.69 % (2584905)Termination phase: Property scanning
% 18.74/4.69 % (2584905)Time elapsed: 0.194 s
% 18.74/4.69 % (2584905)Peak memory usage: 109 MB
% 27.74/6.01 % (2584905)Instructions burned: 595 (million)
% 27.74/6.01 % (2584908)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2011673913:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 27.74/6.01 % Exception at run slice level
% 27.74/6.01 User error: GNN currently only supports monomorphic FOL.
% 27.74/6.01 % (2584908)Instruction limit reached!
% 27.74/6.01 % (2584908)------------------------------
% 27.74/6.01 % (2584908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.74/6.01 % (2584908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.74/6.01 % (2584908)CaDiCaL version: 2.1.3
% 27.74/6.01 % (2584908)Termination reason: Instruction limit
% 27.74/6.01 % (2584908)Termination phase: Property scanning
% 27.74/6.01 % (2584908)Time elapsed: 0.049 s
% 27.74/6.01 % (2584908)Peak memory usage: 97 MB
% 27.74/6.01 % (2584908)Instructions burned: 126 (million)
% 27.74/6.01 % (2584910)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=383047715:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 27.74/6.01 % (2584910)Instruction limit reached!
% 27.74/6.01 % (2584910)------------------------------
% 27.74/6.01 % (2584910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.74/6.01 % (2584910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.74/6.01 % (2584910)CaDiCaL version: 2.1.3
% 27.74/6.01 % (2584910)Termination reason: Instruction limit
% 27.74/6.01 % (2584910)Termination phase: Property scanning
% 27.74/6.01 % (2584910)Time elapsed: 0.028 s
% 27.74/6.01 % (2584910)Peak memory usage: 97 MB
% 27.74/6.01 % (2584910)Instructions burned: 136 (million)
% 27.74/6.01 % (2584913)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2844857595:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 27.74/6.01 % (2584912)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1529331554:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 27.74/6.01 % (2584915)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=283060785:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 27.74/6.01 % (2584888)Instruction limit reached!
% 27.74/6.01 % (2584888)------------------------------
% 27.74/6.01 % (2584888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.74/6.01 % (2584888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.74/6.01 % (2584888)CaDiCaL version: 2.1.3
% 27.74/6.01 % (2584888)Termination reason: Instruction limit
% 27.74/6.01 % (2584888)Termination phase: Saturation
% 27.74/6.01 % (2584888)Time elapsed: 1.186 s
% 27.74/6.01 % (2584888)Peak memory usage: 133 MB
% 27.74/6.01 % (2584888)Instructions burned: 2351 (million)
% 27.74/6.01 % Exception at run slice level
% 27.74/6.01 User error: GNN currently only supports monomorphic FOL.
% 27.74/6.01 % (2584912)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 27.74/6.01 % (2584912)Instruction limit reached!
% 27.74/6.01 % (2584912)------------------------------
% 27.74/6.01 % (2584912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.74/6.01 % (2584912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.74/6.01 % (2584912)CaDiCaL version: 2.1.3
% 27.74/6.01 % (2584912)Termination reason: Instruction limit
% 27.74/6.01 % (2584912)Termination phase: Saturation
% 27.74/6.01 % (2584912)Time elapsed: 0.091 s
% 27.74/6.01 % (2584912)Peak memory usage: 101 MB
% 27.74/6.01 % (2584912)Instructions burned: 142 (million)
% 27.74/6.01 % (2584919)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3176687509:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 27.74/6.01 % (2584920)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3779972706:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 27.74/6.01 % (2584913)Instruction limit reached!
% 27.74/6.01 % (2584913)------------------------------
% 27.74/6.01 % (2584913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.74/6.01 % (2584913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584913)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584913)Termination reason: Instruction limit
% 31.65/6.51 % (2584913)Termination phase: Saturation
% 31.65/6.51 % (2584913)Time elapsed: 0.235 s
% 31.65/6.51 % (2584913)Peak memory usage: 102 MB
% 31.65/6.51 % (2584913)Instructions burned: 433 (million)
% 31.65/6.51 % (2584921)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2384906797:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 31.65/6.51 % (2584919)Instruction limit reached!
% 31.65/6.51 % (2584919)------------------------------
% 31.65/6.51 % (2584919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584919)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584919)Termination reason: Instruction limit
% 31.65/6.51 % (2584919)Termination phase: Preprocessing 1
% 31.65/6.51 % (2584919)Time elapsed: 0.095 s
% 31.65/6.51 % (2584919)Peak memory usage: 97 MB
% 31.65/6.51 % (2584919)Instructions burned: 150 (million)
% 31.65/6.51 % (2584924)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2294515899:s2a=on:i=185:s2at=1.8:fdi=4_2968 on theBenchmark for (2968ds/185Mi)
% 31.65/6.51 % (2584926)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1724199999:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2968 on theBenchmark for (2968ds/193Mi)
% 31.65/6.51 % (2584924)Instruction limit reached!
% 31.65/6.51 % (2584924)------------------------------
% 31.65/6.51 % (2584924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584924)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584924)Termination reason: Instruction limit
% 31.65/6.51 % (2584924)Termination phase: Preprocessing 1
% 31.65/6.51 % (2584924)Time elapsed: 0.112 s
% 31.65/6.51 % (2584924)Peak memory usage: 98 MB
% 31.65/6.51 % (2584924)Instructions burned: 187 (million)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584926)Instruction limit reached!
% 31.65/6.51 % (2584926)------------------------------
% 31.65/6.51 % (2584926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584926)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584926)Termination reason: Instruction limit
% 31.65/6.51 % (2584926)Termination phase: SInE selection
% 31.65/6.51 % (2584926)Time elapsed: 0.122 s
% 31.65/6.51 % (2584926)Peak memory usage: 97 MB
% 31.65/6.51 % (2584926)Instructions burned: 194 (million)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584929)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1106275745:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2965 on theBenchmark for (2965ds/4850Mi)
% 31.65/6.51 % (2584921)Instruction limit reached!
% 31.65/6.51 % (2584921)------------------------------
% 31.65/6.51 % (2584921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584921)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584921)Termination reason: Instruction limit
% 31.65/6.51 % (2584921)Termination phase: Property scanning
% 31.65/6.51 % (2584921)Time elapsed: 0.424 s
% 31.65/6.51 % (2584921)Peak memory usage: 112 MB
% 31.65/6.51 % (2584921)Instructions burned: 667 (million)
% 31.65/6.51 % (2584930)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=50898666:i=12111:sd=1:ss=included_2965 on theBenchmark for (2965ds/12111Mi)
% 31.65/6.51 % (2584931)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2544067529:i=319:kws=precedence:fsr=off_2965 on theBenchmark for (2965ds/319Mi)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584932)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3794558485:i=2064:ep=RST_2964 on theBenchmark for (2964ds/2064Mi)
% 31.65/6.51 % (2584935)dis-1011_128_sil=32000:random_seed=1544313394:i=3706:ep=RST:av=off_2963 on theBenchmark for (2963ds/3706Mi)
% 31.65/6.51 % (2584938)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3993522916:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2963 on theBenchmark for (2963ds/757Mi)
% 31.65/6.51 % (2584931)Instruction limit reached!
% 31.65/6.51 % (2584931)------------------------------
% 31.65/6.51 % (2584931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584931)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584931)Termination reason: Instruction limit
% 31.65/6.51 % (2584931)Termination phase: Preprocessing 3
% 31.65/6.51 % (2584931)Time elapsed: 0.192 s
% 31.65/6.51 % (2584931)Peak memory usage: 106 MB
% 31.65/6.51 % (2584931)Instructions burned: 319 (million)
% 31.65/6.51 % (2584941)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1630516837:i=13913:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/13913Mi)
% 31.65/6.51 % (2584938)Instruction limit reached!
% 31.65/6.51 % (2584938)------------------------------
% 31.65/6.51 % (2584938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584938)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584938)Termination reason: Instruction limit
% 31.65/6.51 % (2584938)Termination phase: Saturation
% 31.65/6.51 % (2584938)Time elapsed: 0.216 s
% 31.65/6.51 % (2584938)Peak memory usage: 109 MB
% 31.65/6.51 % (2584938)Instructions burned: 759 (million)
% 31.65/6.51 % (2584943)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=122870477:i=9925:aac=none_2959 on theBenchmark for (2959ds/9925Mi)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584945)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=998022235:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2956 on theBenchmark for (2956ds/2479Mi)
% 31.65/6.51 % (2584932)Instruction limit reached!
% 31.65/6.51 % (2584932)------------------------------
% 31.65/6.51 % (2584932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584932)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584932)Termination reason: Instruction limit
% 31.65/6.51 % (2584932)Termination phase: Property scanning
% 31.65/6.51 % (2584932)Time elapsed: 0.927 s
% 31.65/6.51 % (2584932)Peak memory usage: 115 MB
% 31.65/6.51 % (2584932)Instructions burned: 2066 (million)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584947)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3541310768:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2953 on theBenchmark for (2953ds/440Mi)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584948)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1233494938:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2953 on theBenchmark for (2953ds/11145Mi)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584950)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3557851469:cts=off:i=3034:av=off:er=known:fsd=on_2951 on theBenchmark for (2951ds/3034Mi)
% 31.65/6.51 % (2584947)Instruction limit reached!
% 31.65/6.51 % (2584947)------------------------------
% 31.65/6.51 % (2584947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584947)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584947)Termination reason: Instruction limit
% 31.65/6.51 % (2584947)Termination phase: Property scanning
% 31.65/6.51 % (2584947)Time elapsed: 0.181 s
% 31.65/6.51 % (2584947)Peak memory usage: 97 MB
% 31.65/6.51 % (2584947)Instructions burned: 440 (million)
% 31.65/6.51 % (2584952)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=709649910:st=2:s2a=on:i=524:s2at=2:ss=axioms_2950 on theBenchmark for (2950ds/524Mi)
% 31.65/6.51 % (2584954)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=452821375:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2950 on theBenchmark for (2950ds/1016Mi)
% 31.65/6.51 % (2584954)First to succeed.
% 31.65/6.51 % (2584954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2584854"
% 31.65/6.51 % (2584952)Instruction limit reached!
% 31.65/6.51 % (2584952)------------------------------
% 31.65/6.51 % (2584952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584952)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584952)Termination reason: Instruction limit
% 31.65/6.51 % (2584952)Termination phase: Preprocessing 3
% 31.65/6.51 % (2584952)Time elapsed: 0.308 s
% 31.65/6.51 % (2584952)Peak memory usage: 102 MB
% 31.65/6.51 % (2584952)Instructions burned: 525 (million)
% 31.65/6.51 % (2584957)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2059419207:i=14123:bd=preordered:ins=4_2946 on theBenchmark for (2946ds/14123Mi)
% 31.65/6.51 % (2584935)Instruction limit reached!
% 31.65/6.51 % (2584935)------------------------------
% 31.65/6.51 % (2584935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.65/6.51 % (2584935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.65/6.51 % (2584935)CaDiCaL version: 2.1.3
% 31.65/6.51 % (2584935)Termination reason: Instruction limit
% 31.65/6.51 % (2584935)Termination phase: Saturation
% 31.65/6.51 % (2584935)Time elapsed: 1.835 s
% 31.65/6.51 % (2584935)Peak memory usage: 133 MB
% 31.65/6.51 % (2584935)Instructions burned: 3706 (million)
% 31.65/6.51 % Exception at run slice level
% 31.65/6.51 User error: GNN currently only supports monomorphic FOL.
% 31.65/6.51 % (2584954)Refutation found. Thanks to Tanya!
% 31.65/6.51 % SZS status Theorem for theBenchmark
% 31.65/6.51 % SZS output start Proof for theBenchmark
% See solution above
% 33.60/6.72 % (2584954)------------------------------
% 33.60/6.72 % (2584954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.60/6.72 % (2584954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.60/6.72 % (2584954)CaDiCaL version: 2.1.3
% 33.60/6.72 % (2584954)Termination reason: Refutation
% 33.60/6.72 % (2584954)Time elapsed: 0.246 s
% 33.60/6.72 % (2584954)Peak memory usage: 105 MB
% 33.60/6.72 % (2584954)Instructions burned: 404 (million)
% 33.60/6.72 % (2584954)------------------------------
% 33.60/6.72 % (2584954)------------------------------
% 33.60/6.72 % (2584854)Success in time 5.632 s
% 33.60/6.72 % Vampire exiting
%------------------------------------------------------------------------------