%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 : Wed Sep 30 08:10:35 AM UTC 2026
% Result : Theorem 1.55s 0.50s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 31 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 170 ( 12 ~; 5 |; 0 &; 136 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 776 ( 772 usr; 8 con; 0-4 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 45 ( 36 ^; 9 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_se933006839lle_hf: $tType ).
thf(type_def_6,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_7,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_8,type,
set_nat: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
finite1213132899lle_hf: set_HF_Mirabelle_hf > nat ).
thf(func_def_1,type,
finite_card_nat: set_nat > nat ).
thf(func_def_2,type,
finite90088345lle_hf: set_se933006839lle_hf > nat ).
thf(func_def_3,type,
finite586181922lle_hf: set_HF_Mirabelle_hf > $o ).
thf(func_def_4,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_5,type,
finite1450550360lle_hf: set_se933006839lle_hf > $o ).
thf(func_def_6,type,
inj_on755450110lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > $o ).
thf(func_def_7,type,
inj_on1874279374hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > $o ).
thf(func_def_8,type,
inj_on1988990670lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > $o ).
thf(func_def_9,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_10,type,
inj_on811196232lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > $o ).
thf(func_def_11,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_12,type,
zero_zero_nat: nat ).
thf(func_def_13,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_15,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_16,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_17,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_18,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_19,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_20,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_21,type,
ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_22,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_23,type,
ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_24,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_25,type,
ord_le2017230260lle_hf: ( $o > hF_Mirabelle_hf ) > ( $o > hF_Mirabelle_hf ) > $o ).
thf(func_def_26,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(func_def_27,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_28,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_29,type,
ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_30,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_31,type,
order_1640852850lle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_32,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_33,type,
order_690706045lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > $o ).
thf(func_def_34,type,
order_557194383hf_nat: ( hF_Mirabelle_hf > nat ) > $o ).
thf(func_def_35,type,
order_671905679lle_hf: ( nat > hF_Mirabelle_hf ) > $o ).
thf(func_def_36,type,
order_1631207636at_nat: ( nat > nat ) > $o ).
thf(func_def_37,type,
orderi1737556723lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_38,type,
ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_39,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_40,type,
collec1758573718lle_hf: ( set_HF_Mirabelle_hf > $o ) > set_se933006839lle_hf ).
thf(func_def_41,type,
image_1743964010lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_42,type,
image_131453538hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > set_nat ).
thf(func_def_43,type,
image_246164834lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > set_HF_Mirabelle_hf ).
thf(func_def_44,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_45,type,
image_899003828lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > set_HF_Mirabelle_hf ).
thf(func_def_46,type,
set_or1544565540an_nat: nat > nat > set_nat ).
thf(func_def_47,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_48,type,
member_nat: nat > set_nat > $o ).
thf(func_def_49,type,
member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o ).
thf(func_def_50,type,
a: hF_Mirabelle_hf ).
thf(func_def_51,type,
b: hF_Mirabelle_hf ).
thf(func_def_53,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_56,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_57,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_58,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_62,type,
vAND: $o > $o > $o ).
thf(func_def_63,type,
vOR: $o > $o > $o ).
thf(func_def_64,type,
vIMP: $o > $o > $o ).
thf(func_def_65,type,
vNOT: $o > $o ).
thf(func_def_66,type,
sP0: nat > nat > nat > $o ).
thf(func_def_67,type,
sP1: nat > nat > nat > $o ).
thf(func_def_68,type,
sP2: nat > nat > nat > $o ).
thf(func_def_69,type,
sP3: set_se933006839lle_hf > ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > $o ).
thf(func_def_70,type,
sP4: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_71,type,
sP5: set_HF_Mirabelle_hf > set_nat > ( hF_Mirabelle_hf > nat > $o ) > $o ).
thf(func_def_72,type,
sK6: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_73,type,
sK7: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_74,type,
sK8: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_75,type,
sK9: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_76,type,
sK10: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_77,type,
sK11: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_78,type,
sK12: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_79,type,
sK13: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_80,type,
sK14: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_81,type,
sK15: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_82,type,
sK16: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_83,type,
sK17: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_84,type,
sK18: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_85,type,
sK19: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_86,type,
sK20: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_87,type,
sK21: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_88,type,
sK22: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_89,type,
sK23: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_90,type,
sK24: ( nat > nat ) > nat ).
thf(func_def_91,type,
sK25: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK26: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_93,type,
sK27: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_94,type,
sK28: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_95,type,
sK29: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_96,type,
sK30: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_97,type,
sK31: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_98,type,
sK32: ( nat > nat ) > nat ).
thf(func_def_99,type,
sK33: ( nat > nat ) > nat ).
thf(func_def_100,type,
sK34: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_101,type,
sK35: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_102,type,
sK36: ( nat > nat > $o ) > nat ).
thf(func_def_103,type,
sK37: ( nat > nat > $o ) > nat ).
thf(func_def_104,type,
sK38: ( nat > nat > $o ) > nat ).
thf(func_def_105,type,
sK39: ( nat > nat > $o ) > nat ).
thf(func_def_106,type,
sK40: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_107,type,
sK41: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_108,type,
sK42: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_109,type,
sK43: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_110,type,
sK44: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_111,type,
sK45: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_112,type,
sK46: ( nat > nat ) > nat ).
thf(func_def_113,type,
sK47: ( nat > nat ) > nat ).
thf(func_def_114,type,
sK48: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_115,type,
sK49: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_116,type,
sK50: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_117,type,
sK51: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_118,type,
sK52: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_119,type,
sK53: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_120,type,
sK54: ( nat > nat ) > nat ).
thf(func_def_121,type,
sK55: ( nat > nat ) > nat ).
thf(func_def_122,type,
sK56: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_123,type,
sK57: nat > ( nat > $o ) > nat ).
thf(func_def_124,type,
sK58: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_125,type,
sK59: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_126,type,
sK60: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_127,type,
sK61: nat > ( nat > $o ) > nat ).
thf(func_def_128,type,
sK62: ( set_HF_Mirabelle_hf > $o ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_129,type,
sK63: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_130,type,
sK64: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_131,type,
sK65: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_132,type,
sK66: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_133,type,
sK67: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_134,type,
sK68: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_135,type,
sK69: ( nat > nat ) > nat ).
thf(func_def_136,type,
sK70: ( nat > nat ) > nat ).
thf(func_def_137,type,
sK71: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_138,type,
sK72: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_139,type,
sK73: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_140,type,
sK74: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_141,type,
sK75: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_142,type,
sK76: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_143,type,
sK77: ( nat > nat ) > nat ).
thf(func_def_144,type,
sK78: ( nat > nat ) > nat ).
thf(func_def_145,type,
sK79: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_146,type,
sK80: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_147,type,
sK81: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_148,type,
sK82: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_149,type,
sK83: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_150,type,
sK84: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_151,type,
sK85: ( nat > nat ) > nat ).
thf(func_def_152,type,
sK86: ( nat > nat ) > nat ).
thf(func_def_153,type,
sK87: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_154,type,
sK88: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_155,type,
sK89: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_156,type,
sK90: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_157,type,
sK91: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_158,type,
sK92: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_159,type,
sK93: ( nat > nat ) > nat ).
thf(func_def_160,type,
sK94: ( nat > nat ) > nat ).
thf(func_def_161,type,
sK95: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_162,type,
sK96: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_163,type,
sK97: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_164,type,
sK98: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_165,type,
sK99: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_166,type,
sK100: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_167,type,
sK101: ( nat > nat ) > nat ).
thf(func_def_168,type,
sK102: ( nat > nat ) > nat ).
thf(func_def_169,type,
sK103: nat > nat ).
thf(func_def_170,type,
sK104: ( nat > $o ) > nat ).
thf(func_def_171,type,
sK105: ( nat > nat > $o ) > nat ).
thf(func_def_172,type,
sK106: ( nat > nat > $o ) > nat ).
thf(func_def_173,type,
sK107: ( nat > nat > $o ) > nat ).
thf(func_def_174,type,
sK108: ( nat > nat > $o ) > nat ).
thf(func_def_175,type,
sK109: ( nat > nat > $o ) > nat ).
thf(func_def_176,type,
sK110: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_177,type,
sK111: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_178,type,
sK112: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_179,type,
sK113: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_180,type,
sK114: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_181,type,
sK115: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_182,type,
sK116: ( nat > nat ) > nat ).
thf(func_def_183,type,
sK117: ( nat > nat ) > nat ).
thf(func_def_184,type,
sK118: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_185,type,
sK119: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_186,type,
sK120: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_187,type,
sK121: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_188,type,
sK122: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_189,type,
sK123: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_190,type,
sK124: ( nat > nat ) > nat ).
thf(func_def_191,type,
sK125: ( nat > nat ) > nat ).
thf(func_def_192,type,
sK126: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_193,type,
sK127: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_194,type,
sK128: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_195,type,
sK129: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_196,type,
sK130: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_197,type,
sK131: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_198,type,
sK132: ( nat > nat ) > nat ).
thf(func_def_199,type,
sK133: ( nat > nat ) > nat ).
thf(func_def_200,type,
sK134: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_201,type,
sK135: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_202,type,
sK136: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_203,type,
sK137: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_204,type,
sK138: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_205,type,
sK139: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_206,type,
sK140: ( nat > nat ) > nat ).
thf(func_def_207,type,
sK141: ( nat > nat ) > nat ).
thf(func_def_208,type,
sK142: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_209,type,
sK143: nat > nat ).
thf(func_def_210,type,
sK144: nat > nat ).
thf(func_def_211,type,
sK145: nat > nat ).
thf(func_def_212,type,
sK146: nat > nat ).
thf(func_def_213,type,
sK147: ( nat > $o ) > nat > nat > nat ).
thf(func_def_214,type,
sK148: nat > ( nat > $o ) > nat > nat ).
thf(func_def_215,type,
sK149: nat > nat ).
thf(func_def_216,type,
sK150: nat > nat ).
thf(func_def_217,type,
sK151: nat > nat ).
thf(func_def_218,type,
sK152: nat > nat ).
thf(func_def_219,type,
sK153: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_220,type,
sK154: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_221,type,
sK155: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_222,type,
sK156: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_223,type,
sK157: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_224,type,
sK158: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_225,type,
sK159: nat > nat ).
thf(func_def_226,type,
sK160: nat > nat ).
thf(func_def_227,type,
sK161: nat > nat ).
thf(func_def_228,type,
sK162: nat > nat ).
thf(func_def_229,type,
sK163: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_230,type,
sK164: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_231,type,
sK165: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_232,type,
sK166: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_233,type,
sK167: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_234,type,
sK168: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_235,type,
sK169: hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_236,type,
sK170: nat > set_nat > nat ).
thf(func_def_237,type,
sK171: hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_238,type,
sK172: nat > set_nat > nat ).
thf(func_def_239,type,
sK173: ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_240,type,
sK174: ( set_nat > $o ) > set_nat ).
thf(func_def_241,type,
sK175: nat > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_242,type,
sK176: nat > set_nat > set_nat ).
thf(func_def_243,type,
sK177: nat > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_244,type,
sK178: nat > set_nat > set_nat ).
thf(func_def_245,type,
sK179: set_HF_Mirabelle_hf > nat > set_HF_Mirabelle_hf ).
thf(func_def_246,type,
sK180: set_nat > nat > set_nat ).
thf(func_def_247,type,
sK181: set_se933006839lle_hf > ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf ).
thf(func_def_248,type,
sK182: set_se933006839lle_hf > ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf ).
thf(func_def_249,type,
sK183: set_se933006839lle_hf > set_HF_Mirabelle_hf ).
thf(func_def_250,type,
sK184: set_se933006839lle_hf > set_HF_Mirabelle_hf ).
thf(func_def_251,type,
sK185: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_252,type,
sK186: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_253,type,
sK187: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_254,type,
sK188: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_255,type,
sK189: set_HF_Mirabelle_hf > set_nat > ( hF_Mirabelle_hf > nat > $o ) > hF_Mirabelle_hf ).
thf(func_def_256,type,
sK190: set_HF_Mirabelle_hf > set_nat > ( hF_Mirabelle_hf > nat > $o ) > hF_Mirabelle_hf ).
thf(func_def_257,type,
sK191: set_HF_Mirabelle_hf > set_nat > ( hF_Mirabelle_hf > nat > $o ) > nat ).
thf(func_def_258,type,
sK192: ( hF_Mirabelle_hf > nat > $o ) > set_HF_Mirabelle_hf > set_nat > hF_Mirabelle_hf ).
thf(func_def_259,type,
sK193: nat > set_nat > nat ).
thf(func_def_260,type,
sK194: set_HF_Mirabelle_hf > set_se933006839lle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_261,type,
sK195: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_262,type,
sK196: set_nat > set_HF_Mirabelle_hf > hF_Mirabelle_hf > nat ).
thf(func_def_263,type,
sK197: set_HF_Mirabelle_hf > set_nat > nat > hF_Mirabelle_hf ).
thf(func_def_264,type,
sK198: set_nat > set_nat > nat > nat ).
thf(func_def_265,type,
sK199: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_266,type,
sK200: set_nat > ( nat > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_nat ).
thf(func_def_267,type,
sK201: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > set_nat > set_HF_Mirabelle_hf ).
thf(func_def_268,type,
sK202: set_nat > ( nat > nat ) > set_nat > set_nat ).
thf(func_def_269,type,
sK203: nat > ( nat > $o ) > nat ).
thf(func_def_270,type,
sK204: ( nat > $o ) > nat ).
thf(func_def_271,type,
sK205: hF_Mirabelle_hf ).
thf(func_def_272,type,
sK206: nat > nat > nat ).
thf(func_def_273,type,
sK207: set_nat > nat ).
thf(func_def_274,type,
sK208: nat > set_nat > nat ).
thf(func_def_275,type,
sK209: nat > set_nat > nat ).
thf(func_def_276,type,
sK210: set_nat > nat > nat ).
thf(func_def_277,type,
sK211: set_nat > nat ).
thf(func_def_278,type,
sK212: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_279,type,
sK213: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > nat > nat ).
thf(func_def_280,type,
sK214: set_nat > nat ).
thf(func_def_281,type,
sK215: set_nat > ( nat > nat ) > nat ).
thf(func_def_282,type,
sK216: set_nat > nat > nat ).
thf(func_def_283,type,
sK217: set_nat > nat ).
thf(func_def_284,type,
sK218: set_nat > ( nat > nat ) > nat > nat ).
thf(func_def_285,type,
sK219: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > nat ).
thf(func_def_286,type,
sK220: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > nat > nat ).
thf(func_def_287,type,
sK221: set_nat > nat ).
thf(func_def_288,type,
sK222: set_nat > nat > nat ).
thf(func_def_289,type,
sK223: set_nat > nat ).
thf(func_def_290,type,
sK224: nat > set_nat > nat ).
thf(func_def_291,type,
sK225: nat > set_nat > nat ).
thf(func_def_292,type,
sK226: set_nat > nat ).
thf(func_def_293,type,
sK227: nat > set_nat > nat ).
thf(func_def_294,type,
sK228: ( nat > nat ) > set_nat > set_nat > nat ).
thf(func_def_295,type,
sK229: nat > set_nat > nat ).
thf(func_def_296,type,
sK230: nat > set_nat > nat ).
thf(func_def_297,type,
sK231: nat > set_nat > nat ).
thf(func_def_298,type,
sK232: nat > set_nat > nat ).
thf(func_def_299,type,
sK233: nat > set_nat > nat ).
thf(func_def_300,type,
sK234: ( nat > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_nat > nat ).
thf(func_def_301,type,
sK235: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_302,type,
sK236: set_nat > ( nat > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_303,type,
sK237: set_nat > nat > nat ).
thf(func_def_304,type,
sK238: set_nat > nat > nat ).
thf(func_def_305,type,
sK239: set_nat > nat > nat ).
thf(func_def_306,type,
sK240: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_307,type,
sK241: set_nat > ( nat > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_308,type,
sK242: set_nat > nat > nat ).
thf(func_def_309,type,
sK243: set_nat > nat > nat ).
thf(func_def_310,type,
sK244: set_nat > nat > nat ).
thf(func_def_311,type,
sK245: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_312,type,
sK246: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_313,type,
sK247: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_314,type,
sK248: set_nat > nat > nat ).
thf(func_def_315,type,
sK249: set_nat > nat > nat ).
thf(func_def_316,type,
sK250: set_nat > nat > nat ).
thf(func_def_317,type,
sK251: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_nat ).
thf(func_def_318,type,
sK252: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > nat ).
thf(func_def_319,type,
sK253: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_320,type,
sK254: set_nat > nat > nat ).
thf(func_def_321,type,
sK255: set_nat > nat > nat ).
thf(func_def_322,type,
sK256: set_nat > nat > nat ).
thf(func_def_323,type,
sK257: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_324,type,
sK258: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_325,type,
sK259: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_326,type,
sK260: set_nat > ( nat > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_327,type,
sK261: set_nat > nat > nat ).
thf(func_def_328,type,
sK262: set_nat > nat > nat ).
thf(func_def_329,type,
sK263: set_nat > nat > nat ).
thf(func_def_330,type,
sK264: set_nat > ( nat > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_331,type,
sK265: set_nat > ( nat > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_332,type,
sK266: set_nat > nat > nat ).
thf(func_def_333,type,
sK267: set_nat > nat > nat ).
thf(func_def_334,type,
sK268: set_nat > nat > nat ).
thf(func_def_335,type,
sK269: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_336,type,
sK270: set_nat > nat > nat ).
thf(func_def_337,type,
sK271: set_nat > nat > nat ).
thf(func_def_338,type,
sK272: set_nat > nat > nat ).
thf(func_def_339,type,
sK273: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > set_nat ).
thf(func_def_340,type,
sK274: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > nat ) > ( set_nat > $o ) > nat ).
thf(func_def_341,type,
sK275: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_342,type,
sK276: set_nat > nat > nat ).
thf(func_def_343,type,
sK277: set_nat > nat > nat ).
thf(func_def_344,type,
sK278: set_nat > nat > nat ).
thf(func_def_345,type,
sK279: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_nat ).
thf(func_def_346,type,
sK280: set_nat > ( nat > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > nat ).
thf(func_def_347,type,
sK281: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_348,type,
sK282: set_HF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > ( set_HF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_349,type,
sK283: ( nat > nat ) > set_nat > nat ).
thf(func_def_350,type,
sK284: set_nat > nat > nat ).
thf(func_def_351,type,
sK285: set_nat > nat > nat ).
thf(func_def_352,type,
sK286: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > nat ).
thf(func_def_353,type,
sK287: set_nat > nat > nat ).
thf(func_def_354,type,
sK288: nat > set_nat > nat ).
thf(func_def_355,type,
sK289: set_nat > nat > nat ).
thf(func_def_356,type,
sK290: nat > set_nat > nat ).
thf(func_def_357,type,
sK291: set_nat > nat > nat ).
thf(func_def_358,type,
sK292: nat > set_nat > nat ).
thf(func_def_359,type,
sK293: set_nat > nat > nat ).
thf(func_def_360,type,
sK294: nat > set_nat > nat ).
thf(func_def_361,type,
sK295: set_nat > nat > nat ).
thf(func_def_362,type,
sK296: set_nat > nat > nat ).
thf(func_def_363,type,
sK297: set_nat > nat > nat ).
thf(func_def_364,type,
sK298: set_nat > nat > nat ).
thf(func_def_365,type,
sK299: set_nat > nat > nat ).
thf(func_def_366,type,
sK300: set_nat > nat > nat ).
thf(func_def_367,type,
sK301: set_nat > nat > nat ).
thf(func_def_368,type,
sK302: set_nat > nat > nat ).
thf(func_def_369,type,
sK303: set_nat > nat ).
thf(func_def_370,type,
sK304: set_nat > nat ).
thf(func_def_371,type,
sK305: nat > set_nat > nat ).
thf(func_def_372,type,
sK306: set_nat > nat > nat ).
thf(func_def_373,type,
sK307: set_nat > nat > nat ).
thf(func_def_374,type,
sK308: set_nat > nat > nat ).
thf(func_def_375,type,
sK309: set_nat > nat ).
thf(func_def_376,type,
sK310: set_nat > nat ).
thf(func_def_377,type,
sK311: nat > set_nat > nat ).
thf(func_def_378,type,
sK312: set_nat > nat ).
thf(func_def_379,type,
sK313: nat > set_nat > nat ).
thf(func_def_380,type,
sK314: nat > set_nat > nat ).
thf(func_def_381,type,
sK315: set_nat > nat ).
thf(func_def_382,type,
sK316: set_nat > nat ).
thf(func_def_383,type,
sK317: set_nat > nat ).
thf(func_def_384,type,
sK318: set_nat > nat > nat ).
thf(func_def_385,type,
sK319: set_nat > nat > nat ).
thf(func_def_386,type,
sK320: set_nat > nat > nat ).
thf(func_def_387,type,
sK321: set_nat > nat > nat ).
thf(func_def_388,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_389,type,
sK322: set_nat > nat > nat ).
thf(func_def_390,type,
sK323: ( set_nat > $o ) > nat ).
thf(func_def_391,type,
sK324: set_nat > nat > nat ).
thf(func_def_392,type,
sK325: set_nat > nat > nat ).
thf(func_def_393,type,
sK326: set_nat > nat > nat ).
thf(func_def_394,type,
sK327: set_nat > nat ).
thf(func_def_395,type,
sK328: set_nat > nat > nat ).
thf(func_def_396,type,
sK329: set_nat > nat ).
thf(func_def_397,type,
sK330: set_nat > nat > nat ).
thf(func_def_398,type,
sK331: set_nat > nat ).
thf(func_def_399,type,
sK332: set_nat > nat > nat ).
thf(func_def_400,type,
sK333: set_nat > nat > nat ).
thf(func_def_401,type,
sK334: set_nat > nat > nat ).
thf(func_def_402,type,
sK335: set_nat > nat > nat ).
thf(func_def_403,type,
sK336: hF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_404,type,
sK337: set_nat > nat > nat ).
thf(func_def_405,type,
sK338: set_nat > nat > nat ).
thf(func_def_406,type,
sK339: set_nat > nat > nat ).
thf(func_def_407,type,
sK340: hF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_408,type,
sK341: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_409,type,
sK342: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_410,type,
sK343: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_411,type,
sK344: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_412,type,
sK345: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_413,type,
sK346: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_414,type,
sK347: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_415,type,
sK348: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_416,type,
sK349: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_417,type,
sK350: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_418,type,
sK351: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_419,type,
sK352: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_420,type,
sK353: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_421,type,
sK354: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_422,type,
sK355: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_423,type,
sK356: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_424,type,
sK357: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_425,type,
sK358: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_426,type,
sK359: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_427,type,
sK360: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_428,type,
sK361: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_429,type,
sK362: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_430,type,
sK363: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_431,type,
sK364: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_432,type,
sK365: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_433,type,
sK366: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_434,type,
sK367: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_435,type,
sK368: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_436,type,
sK369: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_437,type,
sK370: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_438,type,
sK371: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_439,type,
sK372: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_440,type,
sK373: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_441,type,
sK374: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_442,type,
sK375: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_443,type,
sK376: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_444,type,
sK377: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_445,type,
sK378: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_446,type,
sK379: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_447,type,
sK380: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_448,type,
sK381: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_449,type,
sK382: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_450,type,
sK383: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_451,type,
sK384: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_452,type,
sK385: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_453,type,
sK386: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_454,type,
sK387: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_455,type,
sK388: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_456,type,
sK389: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_457,type,
sK390: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_458,type,
sK391: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_459,type,
sK392: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_460,type,
sK393: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_461,type,
sK394: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_462,type,
sK395: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_463,type,
sK396: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_464,type,
sK397: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_465,type,
sK398: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_466,type,
sK399: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_467,type,
sK400: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_468,type,
sK401: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_469,type,
sK402: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_470,type,
sK403: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_471,type,
sK404: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_472,type,
sK405: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_473,type,
sK406: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_474,type,
sK407: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_475,type,
sK408: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_476,type,
sK409: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_477,type,
sK410: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_478,type,
sK411: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_479,type,
sK412: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_480,type,
sK413: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_481,type,
sK414: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_482,type,
sK415: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_483,type,
sK416: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_484,type,
sK417: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_485,type,
sK418: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_486,type,
sK419: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_487,type,
sK420: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_488,type,
sK421: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_489,type,
sK422: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_490,type,
sK423: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_491,type,
sK424: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_492,type,
sK425: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_493,type,
sK426: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_494,type,
sK427: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_495,type,
sK428: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_496,type,
sK429: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_497,type,
sK430: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_498,type,
sK431: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_499,type,
sK432: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_500,type,
sK433: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_501,type,
sK434: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_502,type,
sK435: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_503,type,
sK436: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_504,type,
sK437: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_505,type,
sK438: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_506,type,
sK439: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_507,type,
sK440: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_508,type,
sK441: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_509,type,
sK442: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_510,type,
sK443: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_511,type,
sK444: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_512,type,
sK445: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_513,type,
sK446: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_514,type,
sK447: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_515,type,
sK448: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_516,type,
sK449: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_517,type,
sK450: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_518,type,
sK451: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_519,type,
sK452: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_520,type,
sK453: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_521,type,
sK454: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_522,type,
sK455: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_523,type,
sK456: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_524,type,
sK457: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_525,type,
sK458: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_526,type,
sK459: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_527,type,
sK460: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_528,type,
sK461: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_529,type,
sK462: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_530,type,
sK463: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_531,type,
sK464: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_532,type,
sK465: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_533,type,
sK466: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_534,type,
sK467: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_535,type,
sK468: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_536,type,
sK469: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_537,type,
sK470: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_538,type,
sK471: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_539,type,
sK472: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_540,type,
sK473: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_541,type,
sK474: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_542,type,
sK475: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_543,type,
sK476: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_544,type,
sK477: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_545,type,
sK478: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_546,type,
sK479: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_547,type,
sK480: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_548,type,
sK481: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_549,type,
sK482: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_550,type,
sK483: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_551,type,
sK484: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_552,type,
sK485: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_553,type,
sK486: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_554,type,
sK487: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_555,type,
sK488: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_556,type,
sK489: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_557,type,
sK490: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_558,type,
sK491: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_559,type,
sK492: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_560,type,
sK493: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_561,type,
sK494: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_562,type,
sK495: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_563,type,
sK496: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_564,type,
sK497: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_565,type,
sK498: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_566,type,
sK499: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_567,type,
sK500: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_568,type,
sK501: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_569,type,
sK502: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_570,type,
sK503: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_571,type,
sK504: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_572,type,
sK505: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_573,type,
sK506: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_574,type,
sK507: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_575,type,
sK508: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_576,type,
sK509: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_577,type,
sK510: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_578,type,
sK511: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_579,type,
sK512: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_580,type,
sK513: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_581,type,
sK514: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_582,type,
sK515: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_583,type,
sK516: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_584,type,
sK517: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_585,type,
sK518: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_586,type,
sK519: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_587,type,
sK520: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_588,type,
sK521: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_589,type,
sK522: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_590,type,
sK523: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_591,type,
sK524: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_592,type,
sK525: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_593,type,
sK526: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_594,type,
sK527: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_595,type,
sK528: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_596,type,
sK529: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_597,type,
sK530: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_598,type,
sK531: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_599,type,
sK532: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_600,type,
sK533: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_601,type,
sK534: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_602,type,
sK535: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_603,type,
sK536: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_604,type,
sK537: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_605,type,
sK538: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_606,type,
sK539: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_607,type,
sK540: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_608,type,
sK541: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_609,type,
sK542: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_610,type,
sK543: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_611,type,
sK544: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_612,type,
sK545: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_613,type,
sK546: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_614,type,
sK547: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_615,type,
sK548: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_616,type,
sK549: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_617,type,
sK550: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_618,type,
sK551: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_619,type,
sK552: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_620,type,
sK553: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_621,type,
sK554: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_622,type,
sK555: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_623,type,
sK556: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_624,type,
sK557: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_625,type,
sK558: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_626,type,
sK559: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_627,type,
sK560: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_628,type,
sK561: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_629,type,
sK562: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_630,type,
sK563: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_631,type,
sK564: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_632,type,
sK565: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_633,type,
sK566: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_634,type,
sK567: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_635,type,
sK568: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_636,type,
sK569: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_637,type,
sK570: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_638,type,
sK571: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_639,type,
sK572: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_640,type,
sK573: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_641,type,
sK574: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_642,type,
sK575: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_643,type,
sK576: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_644,type,
sK577: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_645,type,
sK578: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_646,type,
sK579: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_647,type,
sK580: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_648,type,
sK581: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_649,type,
sK582: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_650,type,
sK583: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_651,type,
sK584: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_652,type,
sK585: ( nat > nat ) > nat ).
thf(func_def_653,type,
sK586: ( nat > nat ) > nat ).
thf(func_def_654,type,
sK587: ( nat > nat ) > nat ).
thf(func_def_655,type,
sK588: ( nat > nat ) > nat ).
thf(func_def_656,type,
sK589: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_657,type,
sK590: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_658,type,
sK591: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_659,type,
sK592: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_660,type,
sK593: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_661,type,
sK594: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_662,type,
sK595: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_663,type,
sK596: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_664,type,
sK597: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_665,type,
sK598: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_666,type,
sK599: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_667,type,
sK600: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_668,type,
sK601: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_669,type,
sK602: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_670,type,
sK603: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_671,type,
sK604: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_672,type,
sK605: ( nat > nat ) > nat ).
thf(func_def_673,type,
sK606: ( nat > nat ) > nat ).
thf(func_def_674,type,
sK607: ( nat > nat ) > nat ).
thf(func_def_675,type,
sK608: ( nat > nat ) > nat ).
thf(func_def_676,type,
sK609: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_677,type,
sK610: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_678,type,
sK611: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_679,type,
sK612: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_680,type,
sK613: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_681,type,
sK614: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_682,type,
sK615: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_683,type,
sK616: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_684,type,
sK617: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_685,type,
sK618: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_686,type,
sK619: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_687,type,
sK620: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_688,type,
sK621: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_689,type,
sK622: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_690,type,
sK623: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_691,type,
sK624: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_692,type,
sK625: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_693,type,
sK626: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_694,type,
sK627: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_695,type,
sK628: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_696,type,
sK629: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_697,type,
sK630: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_698,type,
sK631: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_699,type,
sK632: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_700,type,
sK633: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_701,type,
sK634: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_702,type,
sK635: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_703,type,
sK636: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_704,type,
sK637: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_705,type,
sK638: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_706,type,
sK639: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_707,type,
sK640: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_708,type,
sK641: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_709,type,
sK642: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_710,type,
sK643: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_711,type,
sK644: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_712,type,
sK645: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_713,type,
sK646: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_714,type,
sK647: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_715,type,
sK648: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_716,type,
sK649: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_717,type,
sK650: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_718,type,
sK651: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_719,type,
sK652: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_720,type,
sK653: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_721,type,
sK654: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_722,type,
sK655: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_723,type,
sK656: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_724,type,
sK657: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_725,type,
sK658: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_726,type,
sK659: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_727,type,
sK660: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_728,type,
sK661: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_729,type,
sK662: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_730,type,
sK663: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_731,type,
sK664: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_732,type,
sK665: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_733,type,
sK666: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_734,type,
sK667: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_735,type,
sK668: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_736,type,
sK669: hF_Mirabelle_hf > nat > ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_737,type,
sK670: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_738,type,
sK671: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_739,type,
sK672: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_740,type,
sK673: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_741,type,
sK674: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_742,type,
sK675: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_743,type,
sK676: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_744,type,
sK677: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_745,type,
sK678: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_746,type,
sK679: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_747,type,
sK680: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_748,type,
sK681: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_749,type,
sK682: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_750,type,
sK683: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_751,type,
sK684: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_752,type,
sK685: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_753,type,
sK686: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_754,type,
sK687: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_755,type,
sK688: ( nat > hF_Mirabelle_hf ) > hF_Mirabelle_hf > nat > hF_Mirabelle_hf ).
thf(func_def_756,type,
sK689: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_757,type,
sK690: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_758,type,
sK691: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_759,type,
sK692: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_760,type,
sK693: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_761,type,
sK694: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_762,type,
sK695: hF_Mirabelle_hf > hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_763,type,
sK696: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_764,type,
sK697: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_765,type,
sK698: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_766,type,
sK699: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_767,type,
sK700: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_768,type,
sK701: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_769,type,
sK702: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_770,type,
sK703: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_771,type,
sK704: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_772,type,
sK705: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_773,type,
sK706: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(f7,axiom,
( ord_le976219883lle_hf
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ X0 )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_less__eq__hf__def) ).
thf(f71,axiom,
( hF_Mirabelle_hmem
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_hmem__def) ).
thf(f348,axiom,
! [X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ a )
=> ( hF_Mirabelle_hmem @ X0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f349,conjecture,
ord_le976219883lle_hf @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f350,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(negated_conjecture,[status(cth)],[f349]) ).
thf(f360,plain,
( ord_le976219883lle_hf
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ X0 )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f361,plain,
( ord_le976219883lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
=> ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f360]) ).
thf(f488,plain,
( hF_Mirabelle_hmem
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
inference(fool_elimination,[],[f71]) ).
thf(f1023,plain,
! [X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ a )
=> ( hF_Mirabelle_hmem @ X0 @ b ) ),
inference(rectify,[],[f348]) ).
thf(f1024,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ a )
= $true )
=> ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true ) ),
inference(fool_elimination,[],[f1023]) ).
thf(f1025,plain,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(rectify,[],[f350]) ).
thf(f1026,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(fool_elimination,[],[f1025]) ).
thf(f1074,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(flattening,[],[f1026]) ).
thf(f1501,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true )
| ( ( hF_Mirabelle_hmem @ X0 @ a )
!= $true ) ),
inference(ennf_transformation,[],[f1024]) ).
thf(f1660,plain,
( ord_le976219883lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
=> ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f361]) ).
thf(f1772,plain,
( hF_Mirabelle_hmem
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f488]) ).
thf(f2176,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true )
| ( ( hF_Mirabelle_hmem @ X0 @ a )
!= $true ) ),
inference(cnf_transformation,[],[f1501]) ).
thf(f2177,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(cnf_transformation,[],[f1074]) ).
thf(f2180,plain,
( ord_le976219883lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
=> ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f1660,f1772,f1772]) ).
thf(f2550,plain,
! [X0: hF_Mirabelle_hf] :
( ( $true
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
@ X0
@ b ) )
| ( $true
!= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ Y1 ) )
@ X0
@ a ) ) ),
inference(definition_unfolding,[],[f2176,f1772,f1772]) ).
thf(f2551,plain,
( $true
!= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y0 )
=> ( ^ [Y3: hF_Mirabelle_hf,Y4: hF_Mirabelle_hf] : ( member1367349282lle_hf @ Y3 @ ( hF_Mirabelle_hfset @ Y4 ) )
@ Y2
@ Y1 ) ) )
@ a
@ b ) ),
inference(definition_unfolding,[],[f2177,f2180]) ).
thf(f2613,plain,
( $true
!= ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
=> ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ b ) ) ) ) ),
inference(beta-eta_normalization,[],[f2551]) ).
thf(f2614,plain,
( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ a ) )
=> ( member1367349282lle_hf @ Y0 @ ( hF_Mirabelle_hfset @ b ) ) )
@ sK205 ) ),
inference(sigma_proxy_clausification,[],[f2613]) ).
thf(f2615,plain,
( $false
= ( ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ a ) )
=> ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ b ) ) ) ),
inference(beta-eta_normalization,[],[f2614]) ).
thf(f2616,plain,
( $false
= ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ b ) ) ),
inference(imp_proxy_clausification,[],[f2615]) ).
thf(f2617,plain,
( $true
= ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ a ) ) ),
inference(imp_proxy_clausification,[],[f2615]) ).
thf(f2618,plain,
! [X0: hF_Mirabelle_hf] :
( ( $true
!= ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ a ) ) )
| ( $true
= ( member1367349282lle_hf @ X0 @ ( hF_Mirabelle_hfset @ b ) ) ) ),
inference(beta-eta_normalization,[],[f2550]) ).
thf(f8486,plain,
( ( $true != $true )
| ( $true
= ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ b ) ) ) ),
inference(constrained_superposition,[],[f2618,f2617]) ).
thf(f8487,plain,
( $true
= ( member1367349282lle_hf @ sK205 @ ( hF_Mirabelle_hfset @ b ) ) ),
inference(trivial_inequality_removal,[],[f8486]) ).
thf(f8489,plain,
$true = $false,
inference(forward_demodulation,[],[f8487,f2616]) ).
thf(f8490,plain,
$false,
inference(trivial_inequality_removal,[],[f8489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:47:15 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.55/0.50 % (3124336)Will run a generic schedule for satisfiability detection.
% 1.55/0.50 % (3124345)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3480798367:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.55/0.50 % (3124342)% WARNING: option uhcvi not known.
% 1.55/0.50 % (3124342)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1102534157:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.55/0.50 % (3124341)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2755813401_2999 on theBenchmark for (2999ds/0Mi)
% 1.55/0.50 % (3124346)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1048458360:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.55/0.50 % (3124343)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=807140270:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.55/0.50 % (3124344)dis+10_1_sil=32000:sp=arity:random_seed=2417743845:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.55/0.50 % (3124347)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1000846849:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.55/0.50 % (3124345)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.55/0.50 % (3124342)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.55/0.50 % (3124345)Instruction limit reached!
% 1.55/0.50 % (3124345)------------------------------
% 1.55/0.50 % (3124345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124345)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124345)Termination reason: Instruction limit
% 1.55/0.50 % (3124345)Termination phase: Property scanning
% 1.55/0.50 % (3124345)Time elapsed: 0.026 s
% 1.55/0.50 % (3124345)Peak memory usage: 12 MB
% 1.55/0.50 % (3124345)Instructions burned: 121 (million)
% 1.55/0.50 % (3124355)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2683547845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.55/0.50 % (3124344)Instruction limit reached!
% 1.55/0.50 % (3124344)------------------------------
% 1.55/0.50 % (3124344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124344)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124344)Termination reason: Instruction limit
% 1.55/0.50 % (3124344)Termination phase: Property scanning
% 1.55/0.50 % (3124344)Time elapsed: 0.043 s
% 1.55/0.50 % (3124344)Peak memory usage: 12 MB
% 1.55/0.50 % (3124344)Instructions burned: 103 (million)
% 1.55/0.50 % (3124357)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=810886639:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.55/0.50 % (3124347)Instruction limit reached!
% 1.55/0.50 % (3124347)------------------------------
% 1.55/0.50 % (3124347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124347)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124347)Termination reason: Instruction limit
% 1.55/0.50 % (3124347)Termination phase: Property scanning
% 1.55/0.50 % (3124347)Time elapsed: 0.065 s
% 1.55/0.50 % (3124347)Peak memory usage: 12 MB
% 1.55/0.50 % (3124347)Instructions burned: 161 (million)
% 1.55/0.50 % Exception at run slice level
% 1.55/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.55/0.50 % Exception at run slice level
% 1.55/0.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.55/0.50 % (3124342)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.55/0.50 % (3124360)ott-21_1_sil=16000:fs=off:random_seed=1294737449:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.55/0.50 % (3124346)Instruction limit reached!
% 1.55/0.50 % (3124346)------------------------------
% 1.55/0.50 % (3124346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124346)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124346)Termination reason: Instruction limit
% 1.55/0.50 % (3124346)Termination phase: Property scanning
% 1.55/0.50 % (3124346)Time elapsed: 0.078 s
% 1.55/0.50 % (3124346)Peak memory usage: 11 MB
% 1.55/0.50 % (3124346)Instructions burned: 131 (million)
% 1.55/0.50 % (3124359)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3065494536:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.55/0.50 % (3124361)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=742053235:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.55/0.50 % (3124363)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=106189507:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.55/0.50 % (3124359)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.55/0.50 % (3124360)Instruction limit reached!
% 1.55/0.50 % (3124360)------------------------------
% 1.55/0.50 % (3124360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124360)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124360)Termination reason: Instruction limit
% 1.55/0.50 % (3124360)Termination phase: Saturation
% 1.55/0.50 % (3124360)Time elapsed: 0.039 s
% 1.55/0.50 % (3124360)Peak memory usage: 13 MB
% 1.55/0.50 % (3124360)Instructions burned: 183 (million)
% 1.55/0.50 % (3124357)Instruction limit reached!
% 1.55/0.50 % (3124357)------------------------------
% 1.55/0.50 % (3124357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124357)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124357)Termination reason: Instruction limit
% 1.55/0.50 % (3124357)Termination phase: Property scanning
% 1.55/0.50 % (3124357)Time elapsed: 0.054 s
% 1.55/0.50 % (3124357)Peak memory usage: 12 MB
% 1.55/0.50 % (3124357)Instructions burned: 133 (million)
% 1.55/0.50 % (3124367)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1212443181:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.55/0.50 % (3124368)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=560520821:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.55/0.50 % (3124359)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.55/0.50 % (3124343) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3124336-3124343"...
% 1.55/0.50 % (3124343)...printing done.
% 1.55/0.50 % (3124343)Refutation found. Thanks to Tanya!
% 1.55/0.50 % SZS status Theorem for theBenchmark
% 1.55/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.50 % (3124343)------------------------------
% 1.55/0.50 % (3124343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.50 % (3124343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.50 % (3124343)CaDiCaL version: 2.1.3
% 1.55/0.50 % (3124343)Termination reason: Refutation
% 1.55/0.50 % (3124343)Time elapsed: 0.191 s
% 1.55/0.50 % (3124343)Peak memory usage: 17 MB
% 1.55/0.50 % (3124343)Instructions burned: 438 (million)
% 1.55/0.50 % (3124336)Success in time 0.248 s
% 1.55/0.50 % Vampire exiting
%------------------------------------------------------------------------------