%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SCT152+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:51:37 EDT 2023

% Result   : Theorem 141.39s 136.80s
% Output   : Proof 141.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SCT152+1 : TPTP v8.1.2. Released v5.2.0.
% 0.01/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 15:51:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 141.39/136.80  
% 141.39/136.80  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 141.39/136.80  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.39/136.80  %-----------------------------------------------------
% 141.39/136.80  ncf(matrix, plain, [(6059 ^ _66352) ^ [] : [6060 ^ _66352 : [(6061 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____))))], (6063 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____))]], 6064 ^ _66352 : [(6065 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____)))], (6067 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)))]]], (2 ^ _66352) ^ [_66382] : [-(_66382 = _66382)], (4 ^ _66352) ^ [_66405, _66407] : [_66407 = _66405, -(_66405 = _66407)], (10 ^ _66352) ^ [_66478, _66480, _66482] : [-(_66482 = _66478), _66482 = _66480, _66480 = _66478], (20 ^ _66352) ^ [_66615, _66617, _66619, _66621] : [-(c_Arrow__Order__Mirabelle_Odictator(_66619, _66615)), c_Arrow__Order__Mirabelle_Odictator(_66621, _66617), _66621 = _66619, _66617 = _66615], (34 ^ _66352) ^ [_66808, _66810, _66812, _66814] : [-(c_Relation_Oirrefl(_66812, _66808)), c_Relation_Oirrefl(_66814, _66810), _66814 = _66812, _66810 = _66808], (48 ^ _66352) ^ [_67001, _67003] : [-(c_Arrow__Order__Mirabelle_OIIA(_67001)), _67003 = _67001, c_Arrow__Order__Mirabelle_OIIA(_67003)], (58 ^ _66352) ^ [_67126, _67128] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_67126)), _67128 = _67126, c_Arrow__Order__Mirabelle_Ounanimity(_67128)], (68 ^ _66352) ^ [_67251, _67253, _67255, _67257] : [-(c_Nitpick_Orefl_H(_67255, _67251)), c_Nitpick_Orefl_H(_67257, _67253), _67257 = _67255, _67253 = _67251], (82 ^ _66352) ^ [_67444, _67446, _67448, _67450, _67452, _67454, _67456, _67458, _67460, _67462, _67464, _67466] : [-(c_Recdef_Owfrec__rel(_67464, _67460, _67456, _67452, _67448, _67444)), c_Recdef_Owfrec__rel(_67466, _67462, _67458, _67454, _67450, _67446), _67466 = _67464, _67462 = _67460, _67458 = _67456, _67454 = _67452, _67450 = _67448, _67446 = _67444], (112 ^ _66352) ^ [_67989, _67991, _67993, _67995] : [-(c_Nitpick_Owf_H(_67993, _67989)), c_Nitpick_Owf_H(_67995, _67991), _67995 = _67993, _67991 = _67989], (126 ^ _66352) ^ [_68182, _68184] : [-(c_Nitpick_Ounknown(_68182)), _68184 = _68182, c_Nitpick_Ounknown(_68184)], (136 ^ _66352) ^ [_68307, _68309, _68311, _68313, _68315, _68317, _68319, _68321] : [-(c_Finite__Set_Ofolding(_68319, _68315, _68311, _68307)), c_Finite__Set_Ofolding(_68321, _68317, _68313, _68309), _68321 = _68319, _68317 = _68315, _68313 = _68311, _68309 = _68307], (158 ^ _66352) ^ [_68660, _68662, _68664, _68666] : [-(c_Wellfounded_Oacyclic(_68664, _68660)), c_Wellfounded_Oacyclic(_68666, _68662), _68666 = _68664, _68662 = _68660], (172 ^ _66352) ^ [_68853, _68855, _68857, _68859] : [-(c_Wellfounded_OwfP(_68857, _68853)), c_Wellfounded_OwfP(_68859, _68855), _68859 = _68857, _68855 = _68853], (186 ^ _66352) ^ [_69046, _69048, _69050, _69052] : [-(c_FunDef_Oreduction__pair(_69050, _69046)), c_FunDef_Oreduction__pair(_69052, _69048), _69052 = _69050, _69048 = _69046], (200 ^ _66352) ^ [_69239, _69241, _69243, _69245, _69247, _69249] : [-(c_Orderings_Oord__class_Oless(_69247, _69243, _69239)), c_Orderings_Oord__class_Oless(_69249, _69245, _69241), _69249 = _69247, _69245 = _69243, _69241 = _69239], (218 ^ _66352) ^ [_69508, _69510, _69512, _69514, _69516, _69518] : [-(c_Relation_Ototal__on(_69516, _69512, _69508)), c_Relation_Ototal__on(_69518, _69514, _69510), _69518 = _69516, _69514 = _69512, _69510 = _69508], (236 ^ _66352) ^ [_69777, _69779, _69781, _69783, _69785, _69787] : [-(c_Relation_Osingle__valued(_69785, _69781, _69777)), c_Relation_Osingle__valued(_69787, _69783, _69779), _69787 = _69785, _69783 = _69781, _69779 = _69777], (254 ^ _66352) ^ [_70046, _70048, _70050, _70052, _70054, _70056, _70058, _70060, _70062, _70064, _70066, _70068] : [-(c_Finite__Set_Ofolding__image__simple(_70066, _70062, _70058, _70054, _70050, _70046)), c_Finite__Set_Ofolding__image__simple(_70068, _70064, _70060, _70056, _70052, _70048), _70068 = _70066, _70064 = _70062, _70060 = _70058, _70056 = _70054, _70052 = _70050, _70048 = _70046], (284 ^ _66352) ^ [_70895, _70897, _70899, _70901] : [-(c_Relation_Oantisym(_70899, _70895)), c_Relation_Oantisym(_70901, _70897), _70901 = _70899, _70897 = _70895], (298 ^ _66352) ^ [_71451, _71453, _71455, _71457, _71459, _71461, _71463, _71465, _71467, _71469, _71471, _71473] : [-(c_Finite__Set_Ofolding__image__simple__idem(_71471, _71467, _71463, _71459, _71455, _71451)), c_Finite__Set_Ofolding__image__simple__idem(_71473, _71469, _71465, _71461, _71457, _71453), _71473 = _71471, _71469 = _71467, _71465 = _71463, _71461 = _71459, _71457 = _71455, _71453 = _71451], (328 ^ _66352) ^ [_72567, _72569, _72571, _72573, _72575, _72577] : [-(c_Relation_Orefl__on(_72575, _72571, _72567)), c_Relation_Orefl__on(_72577, _72573, _72569), _72577 = _72575, _72573 = _72571, _72569 = _72567], (346 ^ _66352) ^ [_73148, _73150, _73152, _73154] : [-(c_Wellfounded_Owf(_73152, _73148)), c_Wellfounded_Owf(_73154, _73150), _73154 = _73152, _73150 = _73148], (360 ^ _66352) ^ [_73648, _73650, _73652, _73654, _73656, _73658, _73660, _73662] : [-(c_Finite__Set_Ofolding__idem(_73660, _73656, _73652, _73648)), c_Finite__Set_Ofolding__idem(_73662, _73658, _73654, _73650), _73662 = _73660, _73658 = _73656, _73654 = _73652, _73650 = _73648], (382 ^ _66352) ^ [_74410, _74412, _74414, _74416, _74418, _74420] : [-(c_Orderings_Oord__class_Oless__eq(_74418, _74414, _74410)), c_Orderings_Oord__class_Oless__eq(_74420, _74416, _74412), _74420 = _74418, _74416 = _74414, _74412 = _74410], (400 ^ _66352) ^ [_75019, _75021, _75023, _75025, _75027, _75029] : [-(c_Finite__Set_Ofolding__one(_75027, _75023, _75019)), c_Finite__Set_Ofolding__one(_75029, _75025, _75021), _75029 = _75027, _75025 = _75023, _75021 = _75019], (418 ^ _66352) ^ [_75600, _75602, _75604, _75606] : [-(c_Finite__Set_Ofinite(_75604, _75600)), c_Finite__Set_Ofinite(_75606, _75602), _75606 = _75604, _75602 = _75600], (432 ^ _66352) ^ [_76016, _76018] : [-(class_Orderings_Olinorder(_76016)), _76018 = _76016, class_Orderings_Olinorder(_76018)], (442 ^ _66352) ^ [_76311, _76313] : [-(class_Lattices_Osemilattice__sup(_76311)), _76313 = _76311, class_Lattices_Osemilattice__sup(_76313)], (452 ^ _66352) ^ [_76606, _76608] : [-(class_Orderings_Opreorder(_76606)), _76608 = _76606, class_Orderings_Opreorder(_76608)], (462 ^ _66352) ^ [_76901, _76903] : [-(class_Lattices_Olattice(_76901)), _76903 = _76901, class_Lattices_Olattice(_76903)], (472 ^ _66352) ^ [_77196, _77198] : [-(class_Orderings_Oorder(_77196)), _77198 = _77196, class_Orderings_Oorder(_77198)], (482 ^ _66352) ^ [_77491, _77493] : [-(class_Orderings_Oord(_77491)), _77493 = _77491, class_Orderings_Oord(_77493)], (492 ^ _66352) ^ [_77786, _77788] : [-(class_Orderings_Obot(_77786)), _77788 = _77786, class_Orderings_Obot(_77788)], (502 ^ _66352) ^ [_78081, _78083] : [-(class_Finite__Set_Ofinite(_78081)), _78083 = _78081, class_Finite__Set_Ofinite(_78083)], (512 ^ _66352) ^ [_78376, _78378] : [-(hBOOL(_78376)), _78378 = _78376, hBOOL(_78378)], (522 ^ _66352) ^ [_78707, _78709, _78711, _78713, _78715, _78717] : [-(c_member(_78715, _78711, _78707)), c_member(_78717, _78713, _78709), _78717 = _78715, _78713 = _78711, _78709 = _78707], (540 ^ _66352) ^ [_79468, _79470, _79472, _79474] : [-(c_Arrow__Order__Mirabelle_Omktop(_79474, _79470) = c_Arrow__Order__Mirabelle_Omktop(_79472, _79468)), _79474 = _79472, _79470 = _79468], (550 ^ _66352) ^ [_79827, _79829, _79831, _79833] : [-(c_Arrow__Order__Mirabelle_Omkbot(_79833, _79829) = c_Arrow__Order__Mirabelle_Omkbot(_79831, _79827)), _79833 = _79831, _79829 = _79827], (560 ^ _66352) ^ [_80214, _80216, _80218, _80220, _80222, _80224] : [-(c_Arrow__Order__Mirabelle_Obelow(_80224, _80220, _80216) = c_Arrow__Order__Mirabelle_Obelow(_80222, _80218, _80214)), _80224 = _80222, _80220 = _80218, _80216 = _80214], (574 ^ _66352) ^ [_80730, _80732, _80734, _80736, _80738, _80740] : [-(c_Arrow__Order__Mirabelle_Oabove(_80740, _80736, _80732) = c_Arrow__Order__Mirabelle_Oabove(_80738, _80734, _80730)), _80740 = _80738, _80736 = _80734, _80732 = _80730], (588 ^ _66352) ^ [_81302, _81304, _81306, _81308, _81310, _81312, _81314, _81316, _81318, _81320] : [-(c_Nitpick_Owf__wfrec_H(_81320, _81316, _81312, _81308, _81304) = c_Nitpick_Owf__wfrec_H(_81318, _81314, _81310, _81306, _81302)), _81320 = _81318, _81316 = _81314, _81312 = _81310, _81308 = _81306, _81304 = _81302], (610 ^ _66352) ^ [_82152, _82154, _82156, _82158, _82160, _82162, _82164, _82166] : [-(c_Nitpick_Owf__wfrec(_82166, _82162, _82158, _82154) = c_Nitpick_Owf__wfrec(_82164, _82160, _82156, _82152)), _82166 = _82164, _82162 = _82160, _82158 = _82156, _82154 = _82152], (628 ^ _66352) ^ [_82869, _82871, _82873, _82875, _82877, _82879, _82881, _82883, _82885, _82887] : [-(c_Product__Type_Oprod_Oprod__rec(_82887, _82883, _82879, _82875, _82871) = c_Product__Type_Oprod_Oprod__rec(_82885, _82881, _82877, _82873, _82869)), _82887 = _82885, _82883 = _82881, _82879 = _82877, _82875 = _82873, _82871 = _82869], (650 ^ _66352) ^ [_83747, _83749, _83751, _83753, _83755, _83757, _83759, _83761, _83763, _83765] : [-(c_Product__Type_Ointernal__split(_83765, _83761, _83757, _83753, _83749) = c_Product__Type_Ointernal__split(_83763, _83759, _83755, _83751, _83747)), _83765 = _83763, _83761 = _83759, _83757 = _83755, _83753 = _83751, _83749 = _83747], (672 ^ _66352) ^ [_84653, _84655, _84657, _84659, _84661, _84663, _84665, _84667, _84669, _84671, _84673, _84675] : [-(c_Product__Type_Ocurry(_84675, _84671, _84667, _84663, _84659, _84655) = c_Product__Type_Ocurry(_84673, _84669, _84665, _84661, _84657, _84653)), _84675 = _84673, _84671 = _84669, _84667 = _84665, _84663 = _84661, _84659 = _84657, _84655 = _84653], (698 ^ _66352) ^ [_85680, _85682, _85684, _85686, _85688, _85690, _85692, _85694] : [-(c_Recdef_Owfrec(_85694, _85690, _85686, _85682) = c_Recdef_Owfrec(_85692, _85688, _85684, _85680)), _85694 = _85692, _85690 = _85688, _85686 = _85684, _85682 = _85680], (716 ^ _66352) ^ [_86397, _86399, _86401, _86403, _86405, _86407, _86409, _86411, _86413, _86415] : [-(c_Recdef_Ocut(_86415, _86411, _86407, _86403, _86399) = c_Recdef_Ocut(_86413, _86409, _86405, _86401, _86397)), _86415 = _86413, _86411 = _86409, _86407 = _86405, _86403 = _86401, _86399 = _86397], (738 ^ _66352) ^ [_87247, _87249, _87251, _87253, _87255, _87257, _87259, _87261] : [-(c_Recdef_Osame__fst(_87261, _87257, _87253, _87249) = c_Recdef_Osame__fst(_87259, _87255, _87251, _87247)), _87261 = _87259, _87257 = _87255, _87253 = _87251, _87249 = _87247], (756 ^ _66352) ^ [_87908, _87910, _87912, _87914, _87916, _87918] : [-(c_FunDef_Oin__rel(_87918, _87914, _87910) = c_FunDef_Oin__rel(_87916, _87912, _87908)), _87918 = _87916, _87914 = _87912, _87910 = _87908], (770 ^ _66352) ^ [_88368, _88370] : [_88370 = _88368, -(c_Wellfounded_Omeasure(_88370) = c_Wellfounded_Omeasure(_88368))], (776 ^ _66352) ^ [_88642, _88644, _88646, _88648, _88650, _88652] : [-(c_Relation_Oinv__image(_88652, _88648, _88644) = c_Relation_Oinv__image(_88650, _88646, _88642)), _88652 = _88650, _88648 = _88646, _88644 = _88642], (790 ^ _66352) ^ [_89186, _89188, _89190, _89192, _89194, _89196, _89198, _89200] : [-(c_Wellfounded_Olex__prod(_89200, _89196, _89192, _89188) = c_Wellfounded_Olex__prod(_89198, _89194, _89190, _89186)), _89200 = _89198, _89196 = _89194, _89192 = _89190, _89188 = _89186], (808 ^ _66352) ^ [_89847, _89849, _89851, _89853, _89855, _89857] : [-(c_Wellfounded_Omlex__prod(_89857, _89853, _89849) = c_Wellfounded_Omlex__prod(_89855, _89851, _89847)), _89857 = _89855, _89853 = _89851, _89849 = _89847], (822 ^ _66352) ^ [_90335, _90337, _90339, _90341] : [-(c_Wellfounded_Oacc(_90341, _90337) = c_Wellfounded_Oacc(_90339, _90335)), _90341 = _90339, _90337 = _90335], (832 ^ _66352) ^ [_90666, _90668] : [_90668 = _90666, -(c_Wellfounded_Ofinite__psubset(_90668) = c_Wellfounded_Ofinite__psubset(_90666))], (838 ^ _66352) ^ [_90968, _90970, _90972, _90974, _90976, _90978, _90980, _90982] : [-(c_FunDef_Orp__inv__image(_90982, _90978, _90974, _90970) = c_FunDef_Orp__inv__image(_90980, _90976, _90972, _90968)), _90982 = _90980, _90978 = _90976, _90974 = _90972, _90970 = _90968], (856 ^ _66352) ^ [_91601, _91603, _91605, _91607] : [-(c_Relation_OId__on(_91607, _91603) = c_Relation_OId__on(_91605, _91601)), _91607 = _91605, _91603 = _91601], (866 ^ _66352) ^ [_91960, _91962, _91964, _91966] : [-(c_Set_Othe__elem(_91966, _91962) = c_Set_Othe__elem(_91964, _91960)), _91966 = _91964, _91962 = _91960], (876 ^ _66352) ^ [_92347, _92349, _92351, _92353, _92355, _92357] : [-(c_Relation_ODomain(_92357, _92353, _92349) = c_Relation_ODomain(_92355, _92351, _92347)), _92357 = _92355, _92353 = _92351, _92349 = _92347], (890 ^ _66352) ^ [_92863, _92865, _92867, _92869, _92871, _92873] : [-(c_Relation_ORange(_92873, _92869, _92865) = c_Relation_ORange(_92871, _92867, _92863)), _92873 = _92871, _92869 = _92867, _92865 = _92863], (904 ^ _66352) ^ [_93351, _93353, _93355, _93357] : [-(c_Transitive__Closure_Otrancl(_93357, _93353) = c_Transitive__Closure_Otrancl(_93355, _93351)), _93357 = _93355, _93353 = _93351], (914 ^ _66352) ^ [_93710, _93712, _93714, _93716] : [-(c_Transitive__Closure_Ortrancl(_93716, _93712) = c_Transitive__Closure_Ortrancl(_93714, _93710)), _93716 = _93714, _93712 = _93710], (924 ^ _66352) ^ [_94069, _94071, _94073, _94075] : [-(c_Wellfounded_Omax__ext(_94075, _94071) = c_Wellfounded_Omax__ext(_94073, _94069)), _94075 = _94073, _94071 = _94069], (934 ^ _66352) ^ [_94512, _94514, _94516, _94518, _94520, _94522, _94524, _94526, _94528, _94530] : [-(c_Relation_Orel__comp(_94530, _94526, _94522, _94518, _94514) = c_Relation_Orel__comp(_94528, _94524, _94520, _94516, _94512)), _94530 = _94528, _94526 = _94524, _94522 = _94520, _94518 = _94516, _94514 = _94512], (956 ^ _66352) ^ [_95306, _95308, _95310, _95312] : [-(c_Wellfounded_Omin__ext(_95312, _95308) = c_Wellfounded_Omin__ext(_95310, _95306)), _95312 = _95310, _95308 = _95306], (966 ^ _66352) ^ [_95637, _95639] : [_95639 = _95637, -(c_Relation_OId(_95639) = c_Relation_OId(_95637))], (972 ^ _66352) ^ [_95855, _95857] : [_95857 = _95855, -(c_Orderings_Obot__class_Obot(_95857) = c_Orderings_Obot__class_Obot(_95855))], (978 ^ _66352) ^ [_96129, _96131, _96133, _96135, _96137, _96139] : [-(c_Set_Oinsert(_96139, _96135, _96131) = c_Set_Oinsert(_96137, _96133, _96129)), _96139 = _96137, _96135 = _96133, _96131 = _96129], (992 ^ _66352) ^ [_96645, _96647, _96649, _96651, _96653, _96655] : [-(c_Lattices_Osemilattice__sup__class_Osup(_96655, _96651, _96647) = c_Lattices_Osemilattice__sup__class_Osup(_96653, _96649, _96645)), _96655 = _96653, _96651 = _96649, _96647 = _96645], (1006 ^ _66352) ^ [_97105, _97107] : [_97107 = _97105, -(c_fequal(_97107) = c_fequal(_97105))], (1012 ^ _66352) ^ [_97435, _97437, _97439, _97441, _97443, _97445, _97447, _97449, _97451, _97453] : [-(c_Fun_Ocomp(_97453, _97449, _97445, _97441, _97437) = c_Fun_Ocomp(_97451, _97447, _97443, _97439, _97435)), _97453 = _97451, _97449 = _97447, _97445 = _97443, _97441 = _97439, _97437 = _97435], (1034 ^ _66352) ^ [_98229, _98231, _98233, _98235] : [-(tc_fun(_98235, _98231) = tc_fun(_98233, _98229)), _98235 = _98233, _98231 = _98229], (1044 ^ _66352) ^ [_98588, _98590, _98592, _98594] : [-(c_Relation_Oconverse(_98594, _98590) = c_Relation_Oconverse(_98592, _98588)), _98594 = _98592, _98590 = _98588], (1054 ^ _66352) ^ [_98947, _98949, _98951, _98953] : [-(tc_prod(_98953, _98949) = tc_prod(_98951, _98947)), _98953 = _98951, _98949 = _98947], (1082 ^ _66352) ^ [_99975, _99977, _99979, _99981] : [-(hAPP(_99981, _99977) = hAPP(_99979, _99975)), _99981 = _99979, _99977 = _99975], (1064 ^ _66352) ^ [_99362, _99364, _99366, _99368, _99370, _99372, _99374, _99376] : [-(c_Product__Type_OPair(_99376, _99372, _99368, _99364) = c_Product__Type_OPair(_99374, _99370, _99366, _99362)), _99376 = _99374, _99372 = _99370, _99368 = _99366, _99364 = _99362], (1092 ^ _66352) ^ [_100588, _100590] : [hAPP(_100588, 1093 ^ [_100588, _100590]) = hAPP(_100590, 1093 ^ [_100588, _100590]), -(_100588 = _100590)], (1099 ^ _66352) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1101 ^ _66352) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1103 ^ _66352) ^ [] : [v_a____ = v_b____], (1105 ^ _66352) ^ [] : [v_b____ = v_c____], (1107 ^ _66352) ^ [] : [v_a____ = v_c____], (1109 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P____, c_Arrow__Order__Mirabelle_OProf))], (1111 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P_H____, c_Arrow__Order__Mirabelle_OProf))], (1113 ^ _66352) ^ [_101263] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_a____, v_b____), hAPP(v_P____, _101263)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, _101263)))], (1119 ^ _66352) ^ [_101435] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, _101435)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_a____, v_b____), hAPP(v_P____, _101435)))], (1125 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), c_Arrow__Order__Mirabelle_OProf))], (1127 ^ _66352) ^ [_101725] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), _101725)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, _101725)))], (1133 ^ _66352) ^ [_101897] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, _101897)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), _101897)))], (1139 ^ _66352) ^ [_102175, _102177, _102179, _102181, _102183, _102185] : [-(_102175 = _102177), -(_102179 = _102181), -(_102175 = _102181), -(_102177 = _102179), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102183, c_Arrow__Order__Mirabelle_OProf), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102185, c_Arrow__Order__Mirabelle_OProf), 1167 ^ _66352 : [(1168 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102175, _102177), hAPP(_102183, 1164 ^ [_102175, _102177, _102179, _102181, _102183, _102185])))], (1170 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102179, _102181), hAPP(_102185, 1164 ^ [_102175, _102177, _102179, _102181, _102183, _102185]))]], 1171 ^ _66352 : [(1172 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102179, _102181), hAPP(_102185, 1164 ^ [_102175, _102177, _102179, _102181, _102183, _102185])))], (1174 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102175, _102177), hAPP(_102183, 1164 ^ [_102175, _102177, _102179, _102181, _102183, _102185]))]], 1175 ^ _66352 : [(1176 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102175, _102177), hAPP(v_F, _102183)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102179, _102181), hAPP(v_F, _102185)))], (1182 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102179, _102181), hAPP(v_F, _102185)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _102175, _102177), hAPP(v_F, _102183)))]]], (1188 ^ _66352) ^ [_103929, _103931, _103933, _103935, _103937, _103939] : [-(_103929 = _103931), -(_103933 = _103935), -(_103929 = _103935), -(_103931 = _103933), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _103937, c_Arrow__Order__Mirabelle_OProf), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _103939, c_Arrow__Order__Mirabelle_OProf), 1216 ^ _66352 : [(1217 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103929, _103931), hAPP(_103937, 1213 ^ [_103929, _103931, _103933, _103935, _103937, _103939])))], (1219 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103933, _103935), hAPP(_103939, 1213 ^ [_103929, _103931, _103933, _103935, _103937, _103939]))]], 1220 ^ _66352 : [(1221 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103933, _103935), hAPP(_103939, 1213 ^ [_103929, _103931, _103933, _103935, _103937, _103939])))], (1223 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103929, _103931), hAPP(_103937, 1213 ^ [_103929, _103931, _103933, _103935, _103937, _103939]))]], c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103929, _103931), hAPP(v_F, _103937)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _103933, _103935), hAPP(v_F, _103939)))], (1231 ^ _66352) ^ [_105452, _105454, _105456, _105458] : [-(_105452 = _105454), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105456, c_Arrow__Order__Mirabelle_OProf), c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105458, c_Arrow__Order__Mirabelle_OProf), 1247 ^ _66352 : [(1248 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105452, _105454), hAPP(_105456, 1244 ^ [_105452, _105454, _105456, _105458])))], (1250 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105454, _105452), hAPP(_105458, 1244 ^ [_105452, _105454, _105456, _105458]))]], 1251 ^ _66352 : [(1252 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105454, _105452), hAPP(_105458, 1244 ^ [_105452, _105454, _105456, _105458])))], (1254 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105452, _105454), hAPP(_105456, 1244 ^ [_105452, _105454, _105456, _105458]))]], 1255 ^ _66352 : [(1256 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105452, _105454), hAPP(v_F, _105456)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105454, _105452), hAPP(v_F, _105458)))], (1262 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105454, _105452), hAPP(v_F, _105458)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105452, _105454), hAPP(v_F, _105456)))]]], (1268 ^ _66352) ^ [_106801, _106803, _106805, _106807, _106809] : [c_member(tc_prod(_106801, _106803), c_Product__Type_OPair(_106801, _106803, _106805, _106807), hAPP(c_Relation_Oconverse(_106803, _106801), _106809)), -(c_member(tc_prod(_106803, _106801), c_Product__Type_OPair(_106803, _106801, _106807, _106805), _106809))], (1274 ^ _66352) ^ [_107029, _107031, _107033, _107035, _107037] : [c_member(tc_prod(_107031, _107029), c_Product__Type_OPair(_107031, _107029, _107035, _107033), _107037), -(c_member(tc_prod(_107029, _107031), c_Product__Type_OPair(_107029, _107031, _107033, _107035), hAPP(c_Relation_Oconverse(_107031, _107029), _107037)))], (1280 ^ _66352) ^ [_107349, _107351, _107353, _107355, _107357] : [c_member(tc_prod(_107349, _107351), c_Product__Type_OPair(_107349, _107351, _107353, _107355), _107357), -(c_member(tc_prod(_107351, _107349), c_Product__Type_OPair(_107351, _107349, _107355, _107353), hAPP(c_Relation_Oconverse(_107349, _107351), _107357)))], (1286 ^ _66352) ^ [_107667, _107669, _107671, _107673, _107675] : [c_member(tc_prod(_107667, _107669), c_Product__Type_OPair(_107667, _107669, _107671, _107673), hAPP(c_Relation_Oconverse(_107669, _107667), _107675)), -(c_member(tc_prod(_107669, _107667), c_Product__Type_OPair(_107669, _107667, _107673, _107671), _107675))], (1292 ^ _66352) ^ [_107971, _107973, _107975, _107977] : [_107971 = _107973, 1297 ^ _66352 : [(1298 ^ _66352) ^ [] : [-(c_member(_107975, _107977, _107971))], (1300 ^ _66352) ^ [] : [-(c_member(_107975, _107977, _107973))]], 1301 ^ _66352 : [(1302 ^ _66352) ^ [] : [c_member(_107975, _107977, _107971)], (1304 ^ _66352) ^ [] : [c_member(_107975, _107977, _107973)]]], (1324 ^ _66352) ^ [_109078, _109080, _109082, _109084] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _109078, _109080), c_Arrow__Order__Mirabelle_Omkbot(_109082, _109084))), -(_109080 = _109084), 1331 ^ _66352 : [(1332 ^ _66352) ^ [] : [-(_109078 = _109084)], (1334 ^ _66352) ^ [] : [-(_109078 = _109080)]], 1335 ^ _66352 : [(1336 ^ _66352) ^ [] : [_109078 = _109084], (1338 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _109078, _109080), _109082)]]], (1306 ^ _66352) ^ [_108518, _108520, _108522, _108524] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _108518, _108520), c_Arrow__Order__Mirabelle_Omkbot(_108522, _108524)), 1309 ^ _66352 : [(1310 ^ _66352) ^ [] : [_108520 = _108524], (1312 ^ _66352) ^ [] : [_108518 = _108524, _108518 = _108520], (1318 ^ _66352) ^ [] : [-(_108518 = _108524), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _108518, _108520), _108522))]]], (1360 ^ _66352) ^ [_110308, _110310, _110312, _110314] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _110308, _110310), c_Arrow__Order__Mirabelle_Omktop(_110312, _110314))), -(_110308 = _110314), 1367 ^ _66352 : [(1368 ^ _66352) ^ [] : [-(_110310 = _110314)], (1370 ^ _66352) ^ [] : [-(_110308 = _110310)]], 1371 ^ _66352 : [(1372 ^ _66352) ^ [] : [_110310 = _110314], (1374 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _110308, _110310), _110312)]]], (1342 ^ _66352) ^ [_109748, _109750, _109752, _109754] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _109748, _109750), c_Arrow__Order__Mirabelle_Omktop(_109752, _109754)), 1345 ^ _66352 : [(1346 ^ _66352) ^ [] : [_109748 = _109754], (1348 ^ _66352) ^ [] : [_109750 = _109754, _109748 = _109750], (1354 ^ _66352) ^ [] : [-(_109750 = _109754), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _109748, _109750), _109752))]]], (1388 ^ _66352) ^ [_111285, _111287] : [1390 ^ _66352 : [(1391 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1389 ^ [_111285, _111287], c_Arrow__Order__Mirabelle_OProf))], (1393 ^ _66352) ^ [] : [hAPP(_111285, 1389 ^ [_111285, _111287]) = hAPP(1389 ^ [_111285, _111287], _111287)]], -(c_Arrow__Order__Mirabelle_Odictator(_111285, _111287))], (1378 ^ _66352) ^ [_110950, _110952] : [c_Arrow__Order__Mirabelle_Odictator(_110950, _110952), 1381 ^ _66352 : [(1382 ^ _66352) ^ [_111094] : [c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _111094, c_Arrow__Order__Mirabelle_OProf), -(hAPP(_110950, _111094) = hAPP(_111094, _110952))]]], (1397 ^ _66352) ^ [_111741, _111743, _111745, _111747, _111749] : [hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_111741, _111743, _111745), _111747), _111749)), -(c_member(tc_prod(_111741, _111743), c_Product__Type_OPair(_111741, _111743, _111747, _111749), _111745))], (1403 ^ _66352) ^ [_111957, _111959, _111961, _111963, _111965] : [c_member(tc_prod(_111957, _111959), c_Product__Type_OPair(_111957, _111959, _111963, _111965), _111961), -(hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_111957, _111959, _111961), _111963), _111965)))], (1409 ^ _66352) ^ [_112293, _112295, _112297, _112299, _112301, _112303, _112305] : [hBOOL(hAPP(_112293, _112295)), c_member(tc_prod(_112297, _112297), c_Product__Type_OPair(_112297, _112297, _112299, _112301), hAPP(_112303, _112295)), -(c_member(tc_prod(tc_prod(_112305, _112297), tc_prod(_112305, _112297)), c_Product__Type_OPair(tc_prod(_112305, _112297), tc_prod(_112305, _112297), c_Product__Type_OPair(_112305, _112297, _112295, _112299), c_Product__Type_OPair(_112305, _112297, _112295, _112301)), c_Recdef_Osame__fst(_112305, _112297, _112293, _112303)))], (1419 ^ _66352) ^ [_112770, _112772, _112774, _112776] : [_112770 = _112772, c_member(_112774, _112772, _112776), -(c_member(_112774, _112770, _112776))], (1429 ^ _66352) ^ [_113121, _113123, _113125, _113127] : [_113121 = _113123, 1432 ^ _66352 : [(1433 ^ _66352) ^ [] : [c_member(_113125, _113121, _113127), -(c_member(_113125, _113123, _113127))], (1439 ^ _66352) ^ [] : [c_member(_113125, _113123, _113127), -(c_member(_113125, _113121, _113127))]]], (1445 ^ _66352) ^ [_113647, _113649, _113651, _113653] : [_113647 = _113649, 1448 ^ _66352 : [(1449 ^ _66352) ^ [] : [c_member(_113651, _113653, _113647), -(c_member(_113651, _113653, _113649))], (1455 ^ _66352) ^ [] : [c_member(_113651, _113653, _113649), -(c_member(_113651, _113653, _113647))]]], (1461 ^ _66352) ^ [_114188, _114190, _114192] : [c_member(_114188, _114190, _114192), -(hBOOL(hAPP(_114192, _114190)))], (1467 ^ _66352) ^ [_114362, _114364, _114366] : [hBOOL(hAPP(_114366, _114364)), -(c_member(_114362, _114364, _114366))], (1473 ^ _66352) ^ [_114712, _114714, _114716, _114718, _114720, _114722, _114724, _114726, _114728, _114730, _114732] : [hAPP(_114712, hAPP(_114714, _114716)) = hAPP(_114718, hAPP(_114720, _114722)), -(hAPP(c_Fun_Ocomp(_114724, _114726, _114728, _114712, _114714), _114716) = hAPP(c_Fun_Ocomp(_114730, _114726, _114732, _114718, _114720), _114722))], (1479 ^ _66352) ^ [_115035, _115037, _115039] : [-(hAPP(c_Relation_Oconverse(_115035, _115037), hAPP(c_Relation_Oconverse(_115037, _115035), _115039)) = _115039)], (1481 ^ _66352) ^ [_115187, _115189] : [c_Relation_Oirrefl(_115187, _115189), 1484 ^ _66352 : [(1485 ^ _66352) ^ [_115313] : [c_member(tc_prod(_115187, _115187), c_Product__Type_OPair(_115187, _115187, _115313, _115313), _115189)]]], (1487 ^ _66352) ^ [_115390, _115392] : [-(c_member(tc_prod(_115390, _115390), c_Product__Type_OPair(_115390, _115390, 1488 ^ [_115390, _115392], 1488 ^ [_115390, _115392]), _115392)), -(c_Relation_Oirrefl(_115390, _115392))], (1494 ^ _66352) ^ [_115713] : [c_Arrow__Order__Mirabelle_OIIA(_115713), 1497 ^ _66352 : [(1498 ^ _66352) ^ [_115926] : [c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _115926, c_Arrow__Order__Mirabelle_OProf), 1501 ^ _66352 : [(1502 ^ _66352) ^ [_116137] : [c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116137, c_Arrow__Order__Mirabelle_OProf), 1505 ^ _66352 : [(1506 ^ _66352) ^ [_116356, _116358] : [1510 ^ _66352 : [(1511 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115926, 1507 ^ [_115713, _115926, _116137, _116356, _116358])))], (1513 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_116137, 1507 ^ [_115713, _115926, _116137, _116356, _116358]))]], 1514 ^ _66352 : [(1515 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_116137, 1507 ^ [_115713, _115926, _116137, _116356, _116358])))], (1517 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115926, 1507 ^ [_115713, _115926, _116137, _116356, _116358]))]], 1518 ^ _66352 : [(1519 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115713, _115926)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115713, _116137)))], (1525 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115713, _116137)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _116358, _116356), hAPP(_115713, _115926)))]]]]]]]]], (1531 ^ _66352) ^ [_117345] : [-(c_Arrow__Order__Mirabelle_OIIA(_117345)), 1533 ^ _66352 : [(1534 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1532 ^ [_117345], c_Arrow__Order__Mirabelle_OProf))], (1537 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1535 ^ [_117345], c_Arrow__Order__Mirabelle_OProf))], (1553 ^ _66352) ^ [] : [1554 ^ _66352 : [(1555 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(_117345, 1532 ^ [_117345])))], (1557 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(_117345, 1535 ^ [_117345]))]], 1558 ^ _66352 : [(1559 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(_117345, 1535 ^ [_117345])))], (1561 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(_117345, 1532 ^ [_117345]))]]], (1541 ^ _66352) ^ [_118226] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(1532 ^ [_117345], _118226)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(1535 ^ [_117345], _118226)))], (1547 ^ _66352) ^ [_118486] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(1535 ^ [_117345], _118486)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1538 ^ [_117345], 1539 ^ [_117345]), hAPP(1532 ^ [_117345], _118486)))]]], (1580 ^ _66352) ^ [_119884] : [1582 ^ _66352 : [(1583 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1581 ^ [_119884], c_Arrow__Order__Mirabelle_OProf))], (1587 ^ _66352) ^ [_120350] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1584 ^ [_119884], 1585 ^ [_119884]), hAPP(1581 ^ [_119884], _120350)))], (1589 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, 1584 ^ [_119884], 1585 ^ [_119884]), hAPP(_119884, 1581 ^ [_119884]))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_119884))], (1565 ^ _66352) ^ [_119228] : [c_Arrow__Order__Mirabelle_Ounanimity(_119228), 1568 ^ _66352 : [(1569 ^ _66352) ^ [_119399] : [c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _119399, c_Arrow__Order__Mirabelle_OProf), 1572 ^ _66352 : [(1573 ^ _66352) ^ [_119582, _119584] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _119584, _119582), hAPP(_119399, 1574 ^ [_119228, _119399, _119582, _119584])), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _119584, _119582), hAPP(_119228, _119399)))]]]]], (1593 ^ _66352) ^ [_120717, _120719, _120721, _120723, _120725, _120727, _120729, _120731] : [c_member(tc_prod(tc_prod(_120717, _120719), tc_prod(_120717, _120719)), c_Product__Type_OPair(tc_prod(_120717, _120719), tc_prod(_120717, _120719), c_Product__Type_OPair(_120717, _120719, _120721, _120723), c_Product__Type_OPair(_120717, _120719, _120725, _120727)), c_Wellfounded_Olex__prod(_120717, _120719, _120729, _120731)), -(c_member(tc_prod(_120717, _120717), c_Product__Type_OPair(_120717, _120717, _120721, _120725), _120729)), 1600 ^ _66352 : [(1601 ^ _66352) ^ [] : [-(_120721 = _120725)], (1603 ^ _66352) ^ [] : [-(c_member(tc_prod(_120719, _120719), c_Product__Type_OPair(_120719, _120719, _120723, _120727), _120731))]]], (1605 ^ _66352) ^ [_121224, _121226, _121228, _121230, _121232, _121234, _121236, _121238] : [-(c_member(tc_prod(tc_prod(_121224, _121226), tc_prod(_121224, _121226)), c_Product__Type_OPair(tc_prod(_121224, _121226), tc_prod(_121224, _121226), c_Product__Type_OPair(_121224, _121226, _121228, _121230), c_Product__Type_OPair(_121224, _121226, _121232, _121234)), c_Wellfounded_Olex__prod(_121224, _121226, _121236, _121238))), 1606 ^ _66352 : [(1607 ^ _66352) ^ [] : [c_member(tc_prod(_121224, _121224), c_Product__Type_OPair(_121224, _121224, _121228, _121232), _121236)], (1609 ^ _66352) ^ [] : [_121228 = _121232, c_member(tc_prod(_121226, _121226), c_Product__Type_OPair(_121226, _121226, _121230, _121234), _121238)]]], (1617 ^ _66352) ^ [_121807, _121809, _121811, _121813] : [c_member(tc_prod(_121807, _121809), _121811, hAPP(c_Relation_Oconverse(_121809, _121807), _121813)), 1622 ^ _66352 : [(1623 ^ _66352) ^ [] : [-(_121811 = c_Product__Type_OPair(_121807, _121809, 1621 ^ [_121807, _121809, _121811, _121813], 1620 ^ [_121807, _121809, _121811, _121813]))], (1625 ^ _66352) ^ [] : [-(c_member(tc_prod(_121809, _121807), c_Product__Type_OPair(_121809, _121807, 1620 ^ [_121807, _121809, _121811, _121813], 1621 ^ [_121807, _121809, _121811, _121813]), _121813))]]], (1627 ^ _66352) ^ [_122433, _122435, _122437, _122439, _122441] : [c_member(tc_prod(_122433, _122435), c_Product__Type_OPair(_122433, _122435, _122437, _122439), _122441), -(c_member(_122435, _122439, c_Relation_ORange(_122433, _122435, _122441)))], (1633 ^ _66352) ^ [_122717, _122719, _122721, _122723] : [_122717 = _122719, c_member(_122721, _122717, _122723), -(c_member(tc_prod(_122721, _122721), c_Product__Type_OPair(_122721, _122721, _122717, _122719), c_Relation_OId__on(_122721, _122723)))], (1643 ^ _66352) ^ [_123119, _123121, _123123, _123125] : [c_member(tc_prod(_123119, _123119), c_Product__Type_OPair(_123119, _123119, _123121, _123123), c_Relation_OId__on(_123119, _123125)), 1646 ^ _66352 : [(1647 ^ _66352) ^ [] : [-(_123121 = _123123)], (1649 ^ _66352) ^ [] : [-(c_member(_123119, _123121, _123125))]]], (1651 ^ _66352) ^ [_123398, _123400, _123402, _123404] : [-(c_member(tc_prod(_123398, _123398), c_Product__Type_OPair(_123398, _123398, _123400, _123402), c_Relation_OId__on(_123398, _123404))), _123400 = _123402, c_member(_123398, _123400, _123404)], (1661 ^ _66352) ^ [_123787, _123789, _123791, _123793, _123795] : [c_member(tc_prod(_123787, _123789), c_Product__Type_OPair(_123787, _123789, _123791, _123793), _123795), -(c_member(_123787, _123791, c_Relation_ODomain(_123787, _123789, _123795)))], (1667 ^ _66352) ^ [_124072, _124074] : [c_Nitpick_Orefl_H(_124072, _124074), 1670 ^ _66352 : [(1671 ^ _66352) ^ [_124197] : [-(c_member(tc_prod(_124072, _124072), c_Product__Type_OPair(_124072, _124072, _124197, _124197), _124074))]]], (1673 ^ _66352) ^ [_124274, _124276] : [c_member(tc_prod(_124274, _124274), c_Product__Type_OPair(_124274, _124274, 1674 ^ [_124274, _124276], 1674 ^ [_124274, _124276]), _124276), -(c_Nitpick_Orefl_H(_124274, _124276))], (1702 ^ _66352) ^ [_125436, _125438, _125440] : [1704 ^ _66352 : [(1705 ^ _66352) ^ [] : [-(c_member(_125436, 1703 ^ [_125436, _125438, _125440], _125438))], (1708 ^ _66352) ^ [] : [-(c_member(_125436, 1706 ^ [_125436, _125438, _125440], _125438))], (1710 ^ _66352) ^ [] : [1703 ^ [_125436, _125438, _125440] = 1706 ^ [_125436, _125438, _125440]], (1712 ^ _66352) ^ [] : [c_member(tc_prod(_125436, _125436), c_Product__Type_OPair(_125436, _125436, 1703 ^ [_125436, _125438, _125440], 1706 ^ [_125436, _125438, _125440]), _125440)], (1714 ^ _66352) ^ [] : [c_member(tc_prod(_125436, _125436), c_Product__Type_OPair(_125436, _125436, 1706 ^ [_125436, _125438, _125440], 1703 ^ [_125436, _125438, _125440]), _125440)]], -(c_Relation_Ototal__on(_125436, _125438, _125440))], (1680 ^ _66352) ^ [_124620, _124622, _124624] : [c_Relation_Ototal__on(_124620, _124622, _124624), 1683 ^ _66352 : [(1684 ^ _66352) ^ [_124808] : [c_member(_124620, _124808, _124622), 1687 ^ _66352 : [(1688 ^ _66352) ^ [_124994] : [c_member(_124620, _124994, _124622), -(_124808 = _124994), -(c_member(tc_prod(_124620, _124620), c_Product__Type_OPair(_124620, _124620, _124808, _124994), _124624)), -(c_member(tc_prod(_124620, _124620), c_Product__Type_OPair(_124620, _124620, _124994, _124808), _124624))]]]]], (1718 ^ _66352) ^ [_126283, _126285] : [-(c_Relation_ORange(_126283, _126283, c_Relation_OId__on(_126283, _126285)) = _126285)], (1720 ^ _66352) ^ [_126384, _126386] : [-(c_Relation_ODomain(_126384, _126384, c_Relation_OId__on(_126384, _126386)) = _126386)], (1722 ^ _66352) ^ [_126499, _126501, _126503] : [-(c_Relation_ORange(_126499, _126501, _126503) = c_Relation_ODomain(_126501, _126499, hAPP(c_Relation_Oconverse(_126499, _126501), _126503)))], (1724 ^ _66352) ^ [_126623, _126625, _126627] : [-(c_Relation_ODomain(_126623, _126625, hAPP(c_Relation_Oconverse(_126625, _126623), _126627)) = c_Relation_ORange(_126625, _126623, _126627))], (1726 ^ _66352) ^ [_126747, _126749, _126751] : [-(c_Relation_ORange(_126747, _126749, hAPP(c_Relation_Oconverse(_126749, _126747), _126751)) = c_Relation_ODomain(_126749, _126747, _126751))], (1728 ^ _66352) ^ [_126857, _126859] : [-(hAPP(c_Relation_Oconverse(_126857, _126857), c_Relation_OId__on(_126857, _126859)) = c_Relation_OId__on(_126857, _126859))], (1730 ^ _66352) ^ [_127021, _127023, _127025] : [c_Relation_Ototal__on(_127021, _127023, hAPP(c_Relation_Oconverse(_127021, _127021), _127025)), -(c_Relation_Ototal__on(_127021, _127023, _127025))], (1736 ^ _66352) ^ [_127205, _127207, _127209] : [c_Relation_Ototal__on(_127205, _127207, _127209), -(c_Relation_Ototal__on(_127205, _127207, hAPP(c_Relation_Oconverse(_127205, _127205), _127209)))], (1742 ^ _66352) ^ [_127496, _127498, _127500, _127502] : [c_member(_127496, _127498, c_Relation_ODomain(_127496, _127500, _127502)), -(c_member(tc_prod(_127496, _127500), c_Product__Type_OPair(_127496, _127500, _127498, 1745 ^ [_127496, _127498, _127500, _127502]), _127502))], (1749 ^ _66352) ^ [_127776, _127778, _127780, _127782] : [1750 ^ _66352 : [(1751 ^ _66352) ^ [_127864] : [c_member(tc_prod(_127776, _127780), c_Product__Type_OPair(_127776, _127780, _127778, _127864), _127782)]], -(c_member(_127776, _127778, c_Relation_ODomain(_127776, _127780, _127782)))], (1755 ^ _66352) ^ [_128107, _128109, _128111, _128113] : [c_member(_128107, _128109, c_Relation_ORange(_128111, _128107, _128113)), -(c_member(tc_prod(_128111, _128107), c_Product__Type_OPair(_128111, _128107, 1758 ^ [_128107, _128109, _128111, _128113], _128109), _128113))], (1762 ^ _66352) ^ [_128387, _128389, _128391, _128393] : [1763 ^ _66352 : [(1764 ^ _66352) ^ [_128475] : [c_member(tc_prod(_128391, _128387), c_Product__Type_OPair(_128391, _128387, _128475, _128389), _128393)]], -(c_member(_128387, _128389, c_Relation_ORange(_128391, _128387, _128393)))], (1768 ^ _66352) ^ [_128675, _128677, _128679] : [c_member(tc_prod(_128675, _128675), _128677, c_Relation_OId__on(_128675, _128679)), 1772 ^ _66352 : [(1773 ^ _66352) ^ [] : [-(c_member(_128675, 1771 ^ [_128675, _128677, _128679], _128679))], (1775 ^ _66352) ^ [] : [-(_128677 = c_Product__Type_OPair(_128675, _128675, 1771 ^ [_128675, _128677, _128679], 1771 ^ [_128675, _128677, _128679]))]]], (1777 ^ _66352) ^ [_129121, _129123, _129125, _129127] : [c_member(_129121, _129123, c_Relation_ORange(_129125, _129121, _129127)), -(c_member(tc_prod(_129125, _129121), c_Product__Type_OPair(_129125, _129121, 1780 ^ [_129121, _129123, _129125, _129127], _129123), _129127))], (1784 ^ _66352) ^ [_129483, _129485, _129487, _129489] : [c_member(_129483, _129485, c_Relation_ODomain(_129483, _129487, _129489)), -(c_member(tc_prod(_129483, _129487), c_Product__Type_OPair(_129483, _129487, _129485, 1787 ^ [_129483, _129485, _129487, _129489]), _129489))], (1801 ^ _66352) ^ [_130233, _130235, _130237] : [1803 ^ _66352 : [(1804 ^ _66352) ^ [] : [-(c_member(tc_prod(_130233, _130233), c_Product__Type_OPair(_130233, _130233, 1802 ^ [_130233, _130235, _130237], _130235), _130237))], (1806 ^ _66352) ^ [] : [c_member(_130233, 1802 ^ [_130233, _130235, _130237], c_Wellfounded_Oacc(_130233, _130237))]], -(c_member(_130233, _130235, c_Wellfounded_Oacc(_130233, _130237)))], (1791 ^ _66352) ^ [_129860, _129862, _129864] : [c_member(_129860, _129862, c_Wellfounded_Oacc(_129860, _129864)), 1794 ^ _66352 : [(1795 ^ _66352) ^ [_130022] : [c_member(tc_prod(_129860, _129860), c_Product__Type_OPair(_129860, _129860, _130022, _129862), _129864), -(c_member(_129860, _130022, c_Wellfounded_Oacc(_129860, _129864)))]]], (1810 ^ _66352) ^ [_130681, _130683, _130685, _130687] : [c_member(_130681, _130683, c_Wellfounded_Oacc(_130681, _130685)), c_member(tc_prod(_130681, _130681), c_Product__Type_OPair(_130681, _130681, _130687, _130683), _130685), -(c_member(_130681, _130687, c_Wellfounded_Oacc(_130681, _130685)))], (1820 ^ _66352) ^ [_131119, _131121, _131123, _131125, _131127, _131129] : [c_member(tc_prod(_131119, _131119), c_Product__Type_OPair(_131119, _131119, _131121, _131123), hAPP(c_Relation_Oinv__image(_131125, _131119, _131127), _131129)), -(c_member(tc_prod(_131125, _131125), c_Product__Type_OPair(_131125, _131125, hAPP(_131129, _131121), hAPP(_131129, _131123)), _131127))], (1826 ^ _66352) ^ [_131367, _131369, _131371, _131373, _131375, _131377] : [c_member(tc_prod(_131373, _131373), c_Product__Type_OPair(_131373, _131373, hAPP(_131377, _131369), hAPP(_131377, _131371)), _131375), -(c_member(tc_prod(_131367, _131367), c_Product__Type_OPair(_131367, _131367, _131369, _131371), hAPP(c_Relation_Oinv__image(_131373, _131367, _131375), _131377)))], (1832 ^ _66352) ^ [_131707, _131709, _131711, _131713, _131715] : [c_Relation_Orefl__on(_131707, _131709, _131711), c_member(tc_prod(_131707, _131707), c_Product__Type_OPair(_131707, _131707, _131713, _131715), _131711), -(c_member(_131707, _131713, _131709))], (1842 ^ _66352) ^ [_132100, _132102, _132104, _132106, _132108] : [c_Relation_Orefl__on(_132100, _132102, _132104), c_member(tc_prod(_132100, _132100), c_Product__Type_OPair(_132100, _132100, _132106, _132108), _132104), -(c_member(_132100, _132108, _132102))], (1852 ^ _66352) ^ [_132479, _132481, _132483, _132485] : [c_Relation_Orefl__on(_132479, _132481, _132483), c_member(_132479, _132485, _132481), -(c_member(tc_prod(_132479, _132479), c_Product__Type_OPair(_132479, _132479, _132485, _132485), _132483))], (1862 ^ _66352) ^ [_132905, _132907, _132909, _132911, _132913, _132915] : [c_Recdef_Owfrec__rel(_132905, _132907, _132909, _132911, _132913, hAPP(hAPP(_132911, _132915), _132913)), 1866 ^ _66352 : [(1867 ^ _66352) ^ [] : [-(hAPP(hAPP(_132911, _132915), _132913) = hAPP(hAPP(_132911, 1865 ^ [_132905, _132907, _132909, _132911, _132913, _132915]), _132913))], (1869 ^ _66352) ^ [_133324] : [c_member(tc_prod(_132905, _132905), c_Product__Type_OPair(_132905, _132905, _133324, _132913), _132909), -(c_Recdef_Owfrec__rel(_132905, _132907, _132909, _132911, _133324, hAPP(1865 ^ [_132905, _132907, _132909, _132911, _132913, _132915], _133324)))]]], (1875 ^ _66352) ^ [_133597, _133599, _133601, _133603, _133605, _133607] : [-(c_Recdef_Owfrec__rel(_133597, _133599, _133601, _133603, _133605, hAPP(hAPP(_133603, _133607), _133605))), 1876 ^ _66352 : [(1877 ^ _66352) ^ [_133746] : [hAPP(hAPP(_133603, _133607), _133605) = hAPP(hAPP(_133603, _133746), _133605), 1881 ^ _66352 : [(1882 ^ _66352) ^ [] : [-(c_member(tc_prod(_133597, _133597), c_Product__Type_OPair(_133597, _133597, 1880 ^ [_133597, _133599, _133601, _133603, _133605, _133607, _133746], _133605), _133601))], (1884 ^ _66352) ^ [] : [c_Recdef_Owfrec__rel(_133597, _133599, _133601, _133603, 1880 ^ [_133597, _133599, _133601, _133603, _133605, _133607, _133746], hAPP(_133746, 1880 ^ [_133597, _133599, _133601, _133603, _133605, _133607, _133746]))]]]]], (1888 ^ _66352) ^ [_134395, _134397, _134399] : [c_Relation_Orefl__on(_134395, _134397, hAPP(c_Relation_Oconverse(_134395, _134395), _134399)), -(c_Relation_Orefl__on(_134395, _134397, _134399))], (1894 ^ _66352) ^ [_134579, _134581, _134583] : [c_Relation_Orefl__on(_134579, _134581, _134583), -(c_Relation_Orefl__on(_134579, _134581, hAPP(c_Relation_Oconverse(_134579, _134579), _134583)))], (1900 ^ _66352) ^ [_134798, _134800] : [-(c_Relation_Orefl__on(_134798, _134800, c_Relation_OId__on(_134798, _134800)))], (1902 ^ _66352) ^ [_134924, _134926, _134928, _134930] : [-(hAPP(c_Relation_Oconverse(_134924, _134924), hAPP(c_Relation_Oinv__image(_134926, _134924, _134928), _134930)) = hAPP(c_Relation_Oinv__image(_134926, _134924, hAPP(c_Relation_Oconverse(_134926, _134926), _134928)), _134930))], (1904 ^ _66352) ^ [_135077, _135079, _135081] : [-(c_member(_135077, _135079, c_Wellfounded_Oacc(_135077, _135081))), 1908 ^ _66352 : [(1909 ^ _66352) ^ [] : [-(c_member(tc_prod(_135077, _135077), c_Product__Type_OPair(_135077, _135077, 1907 ^ [_135077, _135079, _135081], _135079), _135081))], (1911 ^ _66352) ^ [] : [c_member(_135077, 1907 ^ [_135077, _135079, _135081], c_Wellfounded_Oacc(_135077, _135081))]]], (1913 ^ _66352) ^ [_135513, _135515, _135517] : [1915 ^ _66352 : [(1916 ^ _66352) ^ [] : [-(c_member(tc_prod(_135513, _135513), c_Product__Type_OPair(_135513, _135513, 1914 ^ [_135513, _135515, _135517], _135515), _135517))], (1918 ^ _66352) ^ [] : [c_member(_135513, 1914 ^ [_135513, _135515, _135517], c_Wellfounded_Oacc(_135513, _135517))]], -(c_member(_135513, _135515, c_Wellfounded_Oacc(_135513, _135517)))], (1922 ^ _66352) ^ [_135987, _135989, _135991, _135993, _135995, _135997] : [1924 ^ _66352 : [(1925 ^ _66352) ^ [] : [-(c_member(tc_prod(_135987, _135987), c_Product__Type_OPair(_135987, _135987, 1923 ^ [_135987, _135989, _135991, _135993, _135995, _135997], _135989), _135991))], (1927 ^ _66352) ^ [] : [c_Recdef_Owfrec__rel(_135987, _135993, _135991, _135995, 1923 ^ [_135987, _135989, _135991, _135993, _135995, _135997], hAPP(_135997, 1923 ^ [_135987, _135989, _135991, _135993, _135995, _135997]))]], -(c_Recdef_Owfrec__rel(_135987, _135993, _135991, _135995, _135989, hAPP(hAPP(_135995, _135997), _135989)))], (1931 ^ _66352) ^ [_136574, _136576, _136578, _136580, _136582, _136584] : [c_Recdef_Owfrec__rel(_136574, _136576, _136578, _136580, _136582, _136584), 1935 ^ _66352 : [(1936 ^ _66352) ^ [] : [-(_136584 = hAPP(hAPP(_136580, 1934 ^ [_136574, _136576, _136578, _136580, _136582, _136584]), _136582))], (1938 ^ _66352) ^ [_136963] : [c_member(tc_prod(_136574, _136574), c_Product__Type_OPair(_136574, _136574, _136963, _136582), _136578), -(c_Recdef_Owfrec__rel(_136574, _136576, _136578, _136580, _136963, hAPP(1934 ^ [_136574, _136576, _136578, _136580, _136582, _136584], _136963)))]]], (1944 ^ _66352) ^ [_137236, _137238, _137240, _137242, _137244, _137246] : [-(c_Recdef_Owfrec__rel(_137236, _137238, _137240, _137242, _137244, _137246)), 1945 ^ _66352 : [(1946 ^ _66352) ^ [_137373] : [_137246 = hAPP(hAPP(_137242, _137373), _137244), 1950 ^ _66352 : [(1951 ^ _66352) ^ [] : [-(c_member(tc_prod(_137236, _137236), c_Product__Type_OPair(_137236, _137236, 1949 ^ [_137236, _137238, _137240, _137242, _137244, _137246, _137373], _137244), _137240))], (1953 ^ _66352) ^ [] : [c_Recdef_Owfrec__rel(_137236, _137238, _137240, _137242, 1949 ^ [_137236, _137238, _137240, _137242, _137244, _137246, _137373], hAPP(_137373, 1949 ^ [_137236, _137238, _137240, _137242, _137244, _137246, _137373]))]]]]], (1957 ^ _66352) ^ [_137989, _137991, _137993, _137995] : [c_member(_137989, _137991, c_Wellfounded_Oacc(_137989, _137993)), c_member(tc_prod(_137989, _137989), c_Product__Type_OPair(_137989, _137989, _137995, _137991), c_Transitive__Closure_Ortrancl(_137989, _137993)), -(c_member(_137989, _137995, c_Wellfounded_Oacc(_137989, _137993)))], (1967 ^ _66352) ^ [_138376, _138378, _138380, _138382] : [c_member(tc_prod(_138376, _138376), c_Product__Type_OPair(_138376, _138376, _138378, _138380), c_Transitive__Closure_Ortrancl(_138376, _138382)), c_member(_138376, _138380, c_Wellfounded_Oacc(_138376, _138382)), -(c_member(_138376, _138378, c_Wellfounded_Oacc(_138376, _138382)))], (1977 ^ _66352) ^ [_138749, _138751, _138753] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _138749, c_Arrow__Order__Mirabelle_OLin), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _138751, _138753), _138749), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _138753, _138751), _138749)], (1987 ^ _66352) ^ [_139099, _139101, _139103] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _139099, c_Arrow__Order__Mirabelle_OLin), -(_139101 = _139103), 1994 ^ _66352 : [(1995 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _139101, _139103), _139099)), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _139103, _139101), _139099))], (2001 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _139103, _139101), _139099), c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _139101, _139103), _139099)]]], (2007 ^ _66352) ^ [_139795, _139797, _139799, _139801, _139803, _139805, _139807, _139809] : [c_Fun_Ocomp(_139795, _139797, _139799, _139801, _139803) = c_Fun_Ocomp(_139805, _139797, _139799, _139807, _139809), 2010 ^ _66352 : [(2011 ^ _66352) ^ [_139971] : [-(hAPP(_139801, hAPP(_139803, _139971)) = hAPP(_139807, hAPP(_139809, _139971)))]]], (2013 ^ _66352) ^ [_140126] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _140126), c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _140126, c_Arrow__Order__Mirabelle_OLin))], (2019 ^ _66352) ^ [_140292] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _140292, c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _140292), c_Arrow__Order__Mirabelle_OLin))], (2025 ^ _66352) ^ [_140508, _140510] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _140508, c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_Omktop(_140508, _140510), c_Arrow__Order__Mirabelle_OLin))], (2031 ^ _66352) ^ [_140728, _140730] : [c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _140728, c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_Omkbot(_140728, _140730), c_Arrow__Order__Mirabelle_OLin))], (2037 ^ _66352) ^ [_141003, _141005, _141007, _141009, _141011, _141013, _141015] : [-(c_Fun_Ocomp(_141003, _141005, _141007, _141009, c_Fun_Ocomp(_141011, _141003, _141007, _141013, _141015)) = c_Fun_Ocomp(_141011, _141005, _141007, c_Fun_Ocomp(_141003, _141005, _141011, _141009, _141013), _141015))], (2039 ^ _66352) ^ [_141187, _141189, _141191, _141193, _141195, _141197] : [-(hAPP(c_Fun_Ocomp(_141187, _141189, _141191, _141193, _141195), _141197) = hAPP(_141193, hAPP(_141195, _141197)))], (2041 ^ _66352) ^ [_141417, _141419, _141421, _141423, _141425, _141427, _141429, _141431, _141433] : [c_Fun_Ocomp(_141417, _141419, _141421, _141423, _141425) = c_Fun_Ocomp(_141427, _141419, _141421, _141429, _141431), -(hAPP(_141423, hAPP(_141425, _141433)) = hAPP(_141429, hAPP(_141431, _141433)))], (2047 ^ _66352) ^ [_141716, _141718, _141720] : [-(c_member(tc_prod(_141716, _141716), c_Product__Type_OPair(_141716, _141716, _141718, _141718), c_Transitive__Closure_Ortrancl(_141716, _141720)))], (2049 ^ _66352) ^ [_141853, _141855, _141857] : [c_member(tc_prod(_141853, _141853), _141855, _141857), -(c_member(tc_prod(_141853, _141853), _141855, c_Transitive__Closure_Ortrancl(_141853, _141857)))], (2055 ^ _66352) ^ [_142119, _142121, _142123, _142125] : [-(c_member(_142119, _142121, c_Relation_ODomain(_142119, _142119, _142123))), 2058 ^ _66352 : [(2059 ^ _66352) ^ [] : [c_member(tc_prod(_142119, _142119), c_Product__Type_OPair(_142119, _142119, _142121, _142125), c_Transitive__Closure_Ortrancl(_142119, _142123)), -(_142121 = _142125)], (2065 ^ _66352) ^ [] : [_142121 = _142125, -(c_member(tc_prod(_142119, _142119), c_Product__Type_OPair(_142119, _142119, _142121, _142125), c_Transitive__Closure_Ortrancl(_142119, _142123)))]]], (2071 ^ _66352) ^ [_142702, _142704, _142706, _142708, _142710] : [-(_142702 = _142704), c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _142706, c_Arrow__Order__Mirabelle_OLin), 2078 ^ _66352 : [(2111 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142710), c_Arrow__Order__Mirabelle_Oabove(_142706, _142702, _142704))), -(_142708 = _142710), 2118 ^ _66352 : [(2119 ^ _66352) ^ [] : [-(_142708 = _142704)], (2121 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142702, _142710), _142706)]], 2122 ^ _66352 : [(2123 ^ _66352) ^ [] : [_142708 = _142704], (2125 ^ _66352) ^ [] : [2126 ^ _66352 : [(2127 ^ _66352) ^ [] : [-(_142710 = _142704)], (2129 ^ _66352) ^ [] : [_142708 = _142702], (2131 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142702), _142706)]], 2132 ^ _66352 : [(2133 ^ _66352) ^ [] : [_142710 = _142704], (2135 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142710), _142706)]]]]], (2079 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142710), c_Arrow__Order__Mirabelle_Oabove(_142706, _142702, _142704)), 2082 ^ _66352 : [(2083 ^ _66352) ^ [] : [_142708 = _142710], (2085 ^ _66352) ^ [] : [_142708 = _142704, -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142702, _142710), _142706))], (2091 ^ _66352) ^ [] : [-(_142708 = _142704), 2094 ^ _66352 : [(2105 ^ _66352) ^ [] : [-(_142710 = _142704), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142710), _142706))], (2095 ^ _66352) ^ [] : [_142710 = _142704, -(_142708 = _142702), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _142708, _142702), _142706))]]]]]]], (2139 ^ _66352) ^ [_144854, _144856, _144858, _144860, _144862] : [-(_144854 = _144856), c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _144858, c_Arrow__Order__Mirabelle_OLin), 2146 ^ _66352 : [(2179 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144862), c_Arrow__Order__Mirabelle_Obelow(_144858, _144854, _144856))), -(_144860 = _144862), 2186 ^ _66352 : [(2187 ^ _66352) ^ [] : [-(_144862 = _144854)], (2189 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144856), _144858)]], 2190 ^ _66352 : [(2191 ^ _66352) ^ [] : [_144862 = _144854], (2193 ^ _66352) ^ [] : [2194 ^ _66352 : [(2195 ^ _66352) ^ [] : [-(_144860 = _144854)], (2197 ^ _66352) ^ [] : [_144862 = _144856], (2199 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144856, _144862), _144858)]], 2200 ^ _66352 : [(2201 ^ _66352) ^ [] : [_144860 = _144854], (2203 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144862), _144858)]]]]], (2147 ^ _66352) ^ [] : [c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144862), c_Arrow__Order__Mirabelle_Obelow(_144858, _144854, _144856)), 2150 ^ _66352 : [(2151 ^ _66352) ^ [] : [_144860 = _144862], (2153 ^ _66352) ^ [] : [_144862 = _144854, -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144856), _144858))], (2159 ^ _66352) ^ [] : [-(_144862 = _144854), 2162 ^ _66352 : [(2173 ^ _66352) ^ [] : [-(_144860 = _144854), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144860, _144862), _144858))], (2163 ^ _66352) ^ [] : [_144860 = _144854, -(_144862 = _144856), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _144856, _144862), _144858))]]]]]]], (2207 ^ _66352) ^ [_146992, _146994, _146996, _146998] : [c_member(tc_prod(_146992, _146992), c_Product__Type_OPair(_146992, _146992, _146994, _146996), c_Transitive__Closure_Ortrancl(_146992, _146998)), -(c_member(tc_prod(_146992, _146992), c_Product__Type_OPair(_146992, _146992, _146996, _146994), c_Transitive__Closure_Ortrancl(_146992, hAPP(c_Relation_Oconverse(_146992, _146992), _146998))))], (2213 ^ _66352) ^ [_147302, _147304, _147306, _147308] : [c_member(tc_prod(_147302, _147302), c_Product__Type_OPair(_147302, _147302, _147304, _147306), c_Transitive__Closure_Ortrancl(_147302, hAPP(c_Relation_Oconverse(_147302, _147302), _147308))), -(c_member(tc_prod(_147302, _147302), c_Product__Type_OPair(_147302, _147302, _147306, _147304), c_Transitive__Closure_Ortrancl(_147302, _147308)))], (2219 ^ _66352) ^ [_147626, _147628, _147630, _147632, _147634] : [c_member(tc_prod(_147626, _147626), c_Product__Type_OPair(_147626, _147626, _147628, _147630), _147632), c_member(tc_prod(_147626, _147626), c_Product__Type_OPair(_147626, _147626, _147630, _147634), c_Transitive__Closure_Ortrancl(_147626, _147632)), -(c_member(tc_prod(_147626, _147626), c_Product__Type_OPair(_147626, _147626, _147628, _147634), c_Transitive__Closure_Ortrancl(_147626, _147632)))], (2229 ^ _66352) ^ [_148006, _148008] : [-(c_Transitive__Closure_Ortrancl(_148006, c_Transitive__Closure_Ortrancl(_148006, _148008)) = c_Transitive__Closure_Ortrancl(_148006, _148008))], (2231 ^ _66352) ^ [_148109, _148111] : [-(c_Transitive__Closure_Ortrancl(_148109, hAPP(c_Relation_Oconverse(_148109, _148109), _148111)) = hAPP(c_Relation_Oconverse(_148109, _148109), c_Transitive__Closure_Ortrancl(_148109, _148111)))], (2233 ^ _66352) ^ [_148250, _148252, _148254] : [-(_148250 = _148252), c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _148254, c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_Obelow(_148254, _148250, _148252), c_Arrow__Order__Mirabelle_OLin))], (2243 ^ _66352) ^ [_148588, _148590, _148592] : [-(_148588 = _148590), c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), _148592, c_Arrow__Order__Mirabelle_OLin), -(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_Oabove(_148592, _148588, _148590), c_Arrow__Order__Mirabelle_OLin))], (2253 ^ _66352) ^ [_148954, _148956, _148958, _148960, _148962] : [c_member(tc_prod(_148954, _148954), c_Product__Type_OPair(_148954, _148954, _148956, _148958), c_Transitive__Closure_Ortrancl(_148954, _148960)), c_member(tc_prod(_148954, _148954), c_Product__Type_OPair(_148954, _148954, _148958, _148962), c_Transitive__Closure_Ortrancl(_148954, _148960)), -(c_member(tc_prod(_148954, _148954), c_Product__Type_OPair(_148954, _148954, _148956, _148962), c_Transitive__Closure_Ortrancl(_148954, _148960)))], (2263 ^ _66352) ^ [_149397, _149399, _149401, _149403, _149405] : [c_member(tc_prod(_149397, _149397), c_Product__Type_OPair(_149397, _149397, _149399, _149401), c_Transitive__Closure_Ortrancl(_149397, _149403)), c_member(tc_prod(_149397, _149397), c_Product__Type_OPair(_149397, _149397, _149401, _149405), _149403), -(c_member(tc_prod(_149397, _149397), c_Product__Type_OPair(_149397, _149397, _149399, _149405), c_Transitive__Closure_Ortrancl(_149397, _149403)))], (2273 ^ _66352) ^ [_149834, _149836, _149838, _149840, _149842] : [c_Relation_Osingle__valued(_149834, _149834, _149836), c_member(tc_prod(_149834, _149834), c_Product__Type_OPair(_149834, _149834, _149838, _149840), c_Transitive__Closure_Ortrancl(_149834, _149836)), c_member(tc_prod(_149834, _149834), c_Product__Type_OPair(_149834, _149834, _149838, _149842), c_Transitive__Closure_Ortrancl(_149834, _149836)), -(c_member(tc_prod(_149834, _149834), c_Product__Type_OPair(_149834, _149834, _149840, _149842), c_Transitive__Closure_Ortrancl(_149834, _149836))), -(c_member(tc_prod(_149834, _149834), c_Product__Type_OPair(_149834, _149834, _149842, _149840), c_Transitive__Closure_Ortrancl(_149834, _149836)))], (2291 ^ _66352) ^ [_150464, _150466] : [-(_150464 = _150466), 2295 ^ _66352 : [(2296 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), 2294 ^ [_150464, _150466], c_Arrow__Order__Mirabelle_OLin))], (2298 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _150464, _150466), 2294 ^ [_150464, _150466]))]]], (2300 ^ _66352) ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941] : [c_member(tc_prod(tc_prod(_150927, _150929), tc_prod(_150927, _150929)), c_Product__Type_OPair(tc_prod(_150927, _150929), tc_prod(_150927, _150929), c_Product__Type_OPair(_150927, _150929, _150931, _150933), c_Product__Type_OPair(_150927, _150929, _150935, _150937)), c_Transitive__Closure_Ortrancl(tc_prod(_150927, _150929), _150939)), hBOOL(hAPP(hAPP(_150941, _150931), _150933)), 2311 ^ _66352 : [(2312 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_150927, _150929), tc_prod(_150927, _150929)), c_Product__Type_OPair(tc_prod(_150927, _150929), tc_prod(_150927, _150929), c_Product__Type_OPair(_150927, _150929, _150931, _150933), c_Product__Type_OPair(_150927, _150929, 2309 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941], 2310 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941])), c_Transitive__Closure_Ortrancl(tc_prod(_150927, _150929), _150939)))], (2316 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_150927, _150929), tc_prod(_150927, _150929)), c_Product__Type_OPair(tc_prod(_150927, _150929), tc_prod(_150927, _150929), c_Product__Type_OPair(_150927, _150929, 2309 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941], 2310 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941]), c_Product__Type_OPair(_150927, _150929, 2313 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941], 2314 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941])), _150939))], (2318 ^ _66352) ^ [] : [-(hBOOL(hAPP(hAPP(_150941, 2309 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941]), 2310 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941])))], (2320 ^ _66352) ^ [] : [hBOOL(hAPP(hAPP(_150941, 2313 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941]), 2314 ^ [_150927, _150929, _150931, _150933, _150935, _150937, _150939, _150941]))]], -(hBOOL(hAPP(hAPP(_150941, _150935), _150937)))], (2324 ^ _66352) ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067] : [c_member(tc_prod(tc_prod(_153053, _153055), tc_prod(_153053, _153055)), c_Product__Type_OPair(tc_prod(_153053, _153055), tc_prod(_153053, _153055), c_Product__Type_OPair(_153053, _153055, _153057, _153059), c_Product__Type_OPair(_153053, _153055, _153061, _153063)), c_Transitive__Closure_Ortrancl(tc_prod(_153053, _153055), _153065)), hBOOL(hAPP(hAPP(_153067, _153061), _153063)), 2337 ^ _66352 : [(2338 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_153053, _153055), tc_prod(_153053, _153055)), c_Product__Type_OPair(tc_prod(_153053, _153055), tc_prod(_153053, _153055), c_Product__Type_OPair(_153053, _153055, 2333 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067], 2334 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067]), c_Product__Type_OPair(_153053, _153055, 2335 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067], 2336 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067])), _153065))], (2340 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_153053, _153055), tc_prod(_153053, _153055)), c_Product__Type_OPair(tc_prod(_153053, _153055), tc_prod(_153053, _153055), c_Product__Type_OPair(_153053, _153055, 2335 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067], 2336 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067]), c_Product__Type_OPair(_153053, _153055, _153061, _153063)), c_Transitive__Closure_Ortrancl(tc_prod(_153053, _153055), _153065)))], (2342 ^ _66352) ^ [] : [-(hBOOL(hAPP(hAPP(_153067, 2335 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067]), 2336 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067])))], (2344 ^ _66352) ^ [] : [hBOOL(hAPP(hAPP(_153067, 2333 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067]), 2334 ^ [_153053, _153055, _153057, _153059, _153061, _153063, _153065, _153067]))]], -(hBOOL(hAPP(hAPP(_153067, _153057), _153059)))], (2348 ^ _66352) ^ [_155251, _155253, _155255, _155257, _155259, _155261, _155263] : [c_member(tc_prod(tc_prod(_155251, _155253), tc_prod(_155251, _155253)), c_Product__Type_OPair(tc_prod(_155251, _155253), tc_prod(_155251, _155253), c_Product__Type_OPair(_155251, _155253, _155255, _155257), c_Product__Type_OPair(_155251, _155253, _155259, _155261)), c_Transitive__Closure_Ortrancl(tc_prod(_155251, _155253), _155263)), -(c_Product__Type_OPair(_155251, _155253, _155255, _155257) = c_Product__Type_OPair(_155251, _155253, _155259, _155261)), 2357 ^ _66352 : [(2358 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_155251, _155253), tc_prod(_155251, _155253)), c_Product__Type_OPair(tc_prod(_155251, _155253), tc_prod(_155251, _155253), c_Product__Type_OPair(_155251, _155253, _155255, _155257), c_Product__Type_OPair(_155251, _155253, 2355 ^ [_155251, _155253, _155255, _155257, _155259, _155261, _155263], 2356 ^ [_155251, _155253, _155255, _155257, _155259, _155261, _155263])), _155263))], (2360 ^ _66352) ^ [] : [-(c_member(tc_prod(tc_prod(_155251, _155253), tc_prod(_155251, _155253)), c_Product__Type_OPair(tc_prod(_155251, _155253), tc_prod(_155251, _155253), c_Product__Type_OPair(_155251, _155253, 2355 ^ [_155251, _155253, _155255, _155257, _155259, _155261, _155263], 2356 ^ [_155251, _155253, _155255, _155257, _155259, _155261, _155263]), c_Product__Type_OPair(_155251, _155253, _155259, _155261)), c_Transitive__Closure_Ortrancl(tc_prod(_155251, _155253), _155263)))]]], (2362 ^ _66352) ^ [_156349, _156351, _156353, _156355] : [c_member(tc_prod(_156349, _156349), c_Product__Type_OPair(_156349, _156349, _156351, _156353), c_Transitive__Closure_Ortrancl(_156349, _156355)), -(_156351 = _156353), 2370 ^ _66352 : [(2371 ^ _66352) ^ [] : [-(c_member(tc_prod(_156349, _156349), c_Product__Type_OPair(_156349, _156349, _156351, 2369 ^ [_156349, _156351, _156353, _156355]), c_Transitive__Closure_Ortrancl(_156349, _156355)))], (2373 ^ _66352) ^ [] : [-(c_member(tc_prod(_156349, _156349), c_Product__Type_OPair(_156349, _156349, 2369 ^ [_156349, _156351, _156353, _156355], _156353), _156355))]]], (2375 ^ _66352) ^ [_156957, _156959, _156961, _156963] : [c_member(tc_prod(_156957, _156957), c_Product__Type_OPair(_156957, _156957, _156959, _156961), c_Transitive__Closure_Ortrancl(_156957, _156963)), -(_156959 = _156961), 2383 ^ _66352 : [(2384 ^ _66352) ^ [] : [-(c_member(tc_prod(_156957, _156957), c_Product__Type_OPair(_156957, _156957, _156959, 2382 ^ [_156957, _156959, _156961, _156963]), _156963))], (2386 ^ _66352) ^ [] : [-(c_member(tc_prod(_156957, _156957), c_Product__Type_OPair(_156957, _156957, 2382 ^ [_156957, _156959, _156961, _156963], _156961), c_Transitive__Closure_Ortrancl(_156957, _156963)))]]], (2388 ^ _66352) ^ [_157579, _157581, _157583, _157585, _157587] : [c_member(tc_prod(_157579, _157579), c_Product__Type_OPair(_157579, _157579, _157581, _157583), c_Transitive__Closure_Ortrancl(_157579, _157585)), hBOOL(hAPP(_157587, _157583)), 2399 ^ _66352 : [(2400 ^ _66352) ^ [] : [-(c_member(tc_prod(_157579, _157579), c_Product__Type_OPair(_157579, _157579, 2397 ^ [_157579, _157581, _157583, _157585, _157587], 2398 ^ [_157579, _157581, _157583, _157585, _157587]), _157585))], (2402 ^ _66352) ^ [] : [-(c_member(tc_prod(_157579, _157579), c_Product__Type_OPair(_157579, _157579, 2398 ^ [_157579, _157581, _157583, _157585, _157587], _157583), c_Transitive__Closure_Ortrancl(_157579, _157585)))], (2404 ^ _66352) ^ [] : [-(hBOOL(hAPP(_157587, 2398 ^ [_157579, _157581, _157583, _157585, _157587])))], (2406 ^ _66352) ^ [] : [hBOOL(hAPP(_157587, 2397 ^ [_157579, _157581, _157583, _157585, _157587]))]], -(hBOOL(hAPP(_157587, _157581)))], (2410 ^ _66352) ^ [_158623, _158625] : [-(c_Relation_Osingle__valued(_158623, _158623, c_Relation_OId__on(_158623, _158625)))], (2426 ^ _66352) ^ [_159376, _159378, _159380] : [2429 ^ _66352 : [(2430 ^ _66352) ^ [] : [-(c_member(tc_prod(_159376, _159378), c_Product__Type_OPair(_159376, _159378, 2427 ^ [_159376, _159378, _159380], 2428 ^ [_159376, _159378, _159380]), _159380))], (2433 ^ _66352) ^ [] : [-(c_member(tc_prod(_159376, _159378), c_Product__Type_OPair(_159376, _159378, 2427 ^ [_159376, _159378, _159380], 2431 ^ [_159376, _159378, _159380]), _159380))], (2435 ^ _66352) ^ [] : [2428 ^ [_159376, _159378, _159380] = 2431 ^ [_159376, _159378, _159380]]], -(c_Relation_Osingle__valued(_159376, _159378, _159380))], (2412 ^ _66352) ^ [_158779, _158781, _158783] : [c_Relation_Osingle__valued(_158779, _158781, _158783), 2415 ^ _66352 : [(2416 ^ _66352) ^ [_158970, _158972] : [c_member(tc_prod(_158779, _158781), c_Product__Type_OPair(_158779, _158781, _158972, _158970), _158783), 2419 ^ _66352 : [(2420 ^ _66352) ^ [_159152] : [c_member(tc_prod(_158779, _158781), c_Product__Type_OPair(_158779, _158781, _158972, _159152), _158783), -(_158970 = _159152)]]]]], (2439 ^ _66352) ^ [_160183, _160185, _160187, _160189, _160191, _160193] : [c_Relation_Osingle__valued(_160183, _160185, _160187), c_member(tc_prod(_160183, _160185), c_Product__Type_OPair(_160183, _160185, _160189, _160191), _160187), c_member(tc_prod(_160183, _160185), c_Product__Type_OPair(_160183, _160185, _160189, _160193), _160187), -(_160191 = _160193)], (2453 ^ _66352) ^ [_160679, _160681, _160683] : [2456 ^ _66352 : [(2457 ^ _66352) ^ [] : [-(c_member(tc_prod(_160679, _160681), c_Product__Type_OPair(_160679, _160681, 2454 ^ [_160679, _160681, _160683], 2455 ^ [_160679, _160681, _160683]), _160683))], (2460 ^ _66352) ^ [] : [-(c_member(tc_prod(_160679, _160681), c_Product__Type_OPair(_160679, _160681, 2454 ^ [_160679, _160681, _160683], 2458 ^ [_160679, _160681, _160683]), _160683))], (2462 ^ _66352) ^ [] : [2455 ^ [_160679, _160681, _160683] = 2458 ^ [_160679, _160681, _160683]]], -(c_Relation_Osingle__valued(_160679, _160681, _160683))], (2466 ^ _66352) ^ [_161470, _161472, _161474, _161476, _161478] : [c_member(tc_prod(_161470, _161470), c_Product__Type_OPair(_161470, _161470, _161472, _161474), c_Transitive__Closure_Ortrancl(_161470, _161476)), hBOOL(hAPP(_161478, _161472)), 2476 ^ _66352 : [(2477 ^ _66352) ^ [] : [-(c_member(tc_prod(_161470, _161470), c_Product__Type_OPair(_161470, _161470, _161472, 2475 ^ [_161470, _161472, _161474, _161476, _161478]), c_Transitive__Closure_Ortrancl(_161470, _161476)))], (2480 ^ _66352) ^ [] : [-(c_member(tc_prod(_161470, _161470), c_Product__Type_OPair(_161470, _161470, 2475 ^ [_161470, _161472, _161474, _161476, _161478], 2478 ^ [_161470, _161472, _161474, _161476, _161478]), _161476))], (2482 ^ _66352) ^ [] : [-(hBOOL(hAPP(_161478, 2475 ^ [_161470, _161472, _161474, _161476, _161478])))], (2484 ^ _66352) ^ [] : [hBOOL(hAPP(_161478, 2478 ^ [_161470, _161472, _161474, _161476, _161478]))]], -(hBOOL(hAPP(_161478, _161474)))], (2488 ^ _66352) ^ [_162539, _162541, _162543, _162545] : [c_member(tc_prod(_162539, _162539), c_Product__Type_OPair(_162539, _162539, _162541, _162543), c_Transitive__Closure_Otrancl(_162539, _162545)), -(c_member(tc_prod(_162539, _162539), c_Product__Type_OPair(_162539, _162539, _162541, _162543), c_Transitive__Closure_Ortrancl(_162539, _162545)))], (2494 ^ _66352) ^ [_162879, _162881, _162883, _162885, _162887, _162889, _162891] : [c_Fun_Ocomp(_162879, _162881, _162883, _162885, _162887) = _162889, -(hAPP(_162885, hAPP(_162887, _162891)) = hAPP(_162889, _162891))], (2500 ^ _66352) ^ [_163205, _163207, _163209, _163211, _163213, _163215] : [c_member(tc_prod(_163209, _163209), c_Product__Type_OPair(_163209, _163209, _163211, _163213), _163205), -(hAPP(c_Recdef_Ocut(_163209, _163215, _163207, _163205, _163213), _163211) = hAPP(_163207, _163211))], (2516 ^ _66352) ^ [_163997, _163999, _164001, _164003, _164005, _164007] : [2518 ^ _66352 : [(2519 ^ _66352) ^ [] : [-(c_member(tc_prod(_163997, _163997), c_Product__Type_OPair(_163997, _163997, 2517 ^ [_163997, _163999, _164001, _164003, _164005, _164007], _164005), _164003))], (2521 ^ _66352) ^ [] : [hAPP(_164001, 2517 ^ [_163997, _163999, _164001, _164003, _164005, _164007]) = hAPP(_164007, 2517 ^ [_163997, _163999, _164001, _164003, _164005, _164007])]], -(c_Recdef_Ocut(_163997, _163999, _164001, _164003, _164005) = c_Recdef_Ocut(_163997, _163999, _164007, _164003, _164005))], (2506 ^ _66352) ^ [_163566, _163568, _163570, _163572, _163574, _163576] : [c_Recdef_Ocut(_163566, _163568, _163570, _163572, _163574) = c_Recdef_Ocut(_163566, _163568, _163576, _163572, _163574), 2509 ^ _66352 : [(2510 ^ _66352) ^ [_163758] : [c_member(tc_prod(_163566, _163566), c_Product__Type_OPair(_163566, _163566, _163758, _163574), _163572), -(hAPP(_163570, _163758) = hAPP(_163576, _163758))]]], (2525 ^ _66352) ^ [_164558, _164560, _164562, _164564, _164566, _164568] : [c_member(tc_prod(_164558, _164558), c_Product__Type_OPair(_164558, _164558, _164560, _164562), _164564), -(hAPP(c_Recdef_Ocut(_164558, _164566, _164568, _164564, _164562), _164560) = hAPP(_164568, _164560))], (2531 ^ _66352) ^ [_164862, _164864, _164866, _164868] : [c_member(tc_prod(_164862, _164862), c_Product__Type_OPair(_164862, _164862, _164864, _164866), _164868), -(c_member(tc_prod(_164862, _164862), c_Product__Type_OPair(_164862, _164862, _164864, _164866), c_Transitive__Closure_Otrancl(_164862, _164868)))], (2537 ^ _66352) ^ [_165140, _165142, _165144] : [c_member(tc_prod(_165140, _165140), _165142, _165144), -(c_member(tc_prod(_165140, _165140), _165142, c_Transitive__Closure_Otrancl(_165140, _165144)))], (2543 ^ _66352) ^ [_165363, _165365] : [-(c_Transitive__Closure_Ortrancl(_165363, c_Transitive__Closure_Otrancl(_165363, _165365)) = c_Transitive__Closure_Ortrancl(_165363, _165365))], (2545 ^ _66352) ^ [_165466, _165468] : [-(c_Transitive__Closure_Otrancl(_165466, c_Transitive__Closure_Ortrancl(_165466, _165468)) = c_Transitive__Closure_Ortrancl(_165466, _165468))], (2547 ^ _66352) ^ [_165569, _165571] : [-(c_Transitive__Closure_Otrancl(_165569, hAPP(c_Relation_Oconverse(_165569, _165569), _165571)) = hAPP(c_Relation_Oconverse(_165569, _165569), c_Transitive__Closure_Otrancl(_165569, _165571)))], (2549 ^ _66352) ^ [_165681, _165683] : [-(c_Relation_ODomain(_165681, _165681, c_Transitive__Closure_Otrancl(_165681, _165683)) = c_Relation_ODomain(_165681, _165681, _165683))], (2551 ^ _66352) ^ [_165786, _165788] : [-(c_Relation_ORange(_165786, _165786, c_Transitive__Closure_Otrancl(_165786, _165788)) = c_Relation_ORange(_165786, _165786, _165788))], (2553 ^ _66352) ^ [_165948, _165950, _165952, _165954, _165956] : [c_member(tc_prod(_165948, _165948), c_Product__Type_OPair(_165948, _165948, _165950, _165952), c_Transitive__Closure_Otrancl(_165948, _165954)), c_member(tc_prod(_165948, _165948), c_Product__Type_OPair(_165948, _165948, _165952, _165956), c_Transitive__Closure_Otrancl(_165948, _165954)), -(c_member(tc_prod(_165948, _165948), c_Product__Type_OPair(_165948, _165948, _165950, _165956), c_Transitive__Closure_Otrancl(_165948, _165954)))], (2563 ^ _66352) ^ [_166391, _166393, _166395, _166397, _166399] : [c_member(tc_prod(_166391, _166391), c_Product__Type_OPair(_166391, _166391, _166393, _166395), c_Transitive__Closure_Otrancl(_166391, _166397)), c_member(tc_prod(_166391, _166391), c_Product__Type_OPair(_166391, _166391, _166395, _166399), _166397), -(c_member(tc_prod(_166391, _166391), c_Product__Type_OPair(_166391, _166391, _166393, _166399), c_Transitive__Closure_Otrancl(_166391, _166397)))], (2573 ^ _66352) ^ [_166828, _166830, _166832, _166834, _166836] : [c_member(tc_prod(_166828, _166828), c_Product__Type_OPair(_166828, _166828, _166830, _166832), _166834), c_member(tc_prod(_166828, _166828), c_Product__Type_OPair(_166828, _166828, _166832, _166836), c_Transitive__Closure_Otrancl(_166828, _166834)), -(c_member(tc_prod(_166828, _166828), c_Product__Type_OPair(_166828, _166828, _166830, _166836), c_Transitive__Closure_Otrancl(_166828, _166834)))], (2583 ^ _66352) ^ [_167265, _167267, _167269, _167271, _167273] : [c_member(tc_prod(_167265, _167265), c_Product__Type_OPair(_167265, _167265, _167267, _167269), _167271), c_member(tc_prod(_167265, _167265), c_Product__Type_OPair(_167265, _167265, _167269, _167273), _167271), -(c_member(tc_prod(_167265, _167265), c_Product__Type_OPair(_167265, _167265, _167267, _167273), c_Transitive__Closure_Otrancl(_167265, _167271)))], (2593 ^ _66352) ^ [_167696, _167698, _167700, _167702, _167704] : [c_member(tc_prod(_167696, _167696), c_Product__Type_OPair(_167696, _167696, _167698, _167700), c_Transitive__Closure_Ortrancl(_167696, _167702)), c_member(tc_prod(_167696, _167696), c_Product__Type_OPair(_167696, _167696, _167700, _167704), c_Transitive__Closure_Otrancl(_167696, _167702)), -(c_member(tc_prod(_167696, _167696), c_Product__Type_OPair(_167696, _167696, _167698, _167704), c_Transitive__Closure_Otrancl(_167696, _167702)))], (2603 ^ _66352) ^ [_168139, _168141, _168143, _168145, _168147] : [c_member(tc_prod(_168139, _168139), c_Product__Type_OPair(_168139, _168139, _168141, _168143), c_Transitive__Closure_Otrancl(_168139, _168145)), c_member(tc_prod(_168139, _168139), c_Product__Type_OPair(_168139, _168139, _168143, _168147), c_Transitive__Closure_Ortrancl(_168139, _168145)), -(c_member(tc_prod(_168139, _168139), c_Product__Type_OPair(_168139, _168139, _168141, _168147), c_Transitive__Closure_Otrancl(_168139, _168145)))], (2613 ^ _66352) ^ [_168582, _168584, _168586, _168588, _168590] : [c_member(tc_prod(_168582, _168582), c_Product__Type_OPair(_168582, _168582, _168584, _168586), c_Transitive__Closure_Ortrancl(_168582, _168588)), c_member(tc_prod(_168582, _168582), c_Product__Type_OPair(_168582, _168582, _168586, _168590), _168588), -(c_member(tc_prod(_168582, _168582), c_Product__Type_OPair(_168582, _168582, _168584, _168590), c_Transitive__Closure_Otrancl(_168582, _168588)))], (2623 ^ _66352) ^ [_169005, _169007, _169009, _169011] : [c_member(tc_prod(_169005, _169005), c_Product__Type_OPair(_169005, _169005, _169007, _169009), c_Transitive__Closure_Ortrancl(_169005, _169011)), -(_169007 = _169009), 2630 ^ _66352 : [(2631 ^ _66352) ^ [] : [_169007 = _169009], (2633 ^ _66352) ^ [] : [-(c_member(tc_prod(_169005, _169005), c_Product__Type_OPair(_169005, _169005, _169007, _169009), c_Transitive__Closure_Otrancl(_169005, _169011)))]]], (2635 ^ _66352) ^ [_169495, _169497, _169499, _169501, _169503] : [c_member(tc_prod(_169495, _169495), c_Product__Type_OPair(_169495, _169495, _169497, _169499), _169501), c_member(tc_prod(_169495, _169495), c_Product__Type_OPair(_169495, _169495, _169499, _169503), c_Transitive__Closure_Ortrancl(_169495, _169501)), -(c_member(tc_prod(_169495, _169495), c_Product__Type_OPair(_169495, _169495, _169497, _169503), c_Transitive__Closure_Otrancl(_169495, _169501)))], (2645 ^ _66352) ^ [_169947, _169949, _169951, _169953] : [c_member(tc_prod(_169947, _169947), c_Product__Type_OPair(_169947, _169947, _169949, _169951), c_Transitive__Closure_Ortrancl(_169947, _169953)), -(_169949 = _169951), 2652 ^ _66352 : [(2653 ^ _66352) ^ [] : [_169949 = _169951], (2655 ^ _66352) ^ [] : [-(c_member(tc_prod(_169947, _169947), c_Product__Type_OPair(_169947, _169947, _169949, _169951), c_Transitive__Closure_Otrancl(_169947, _169953)))]]], (2657 ^ _66352) ^ [_170347, _170349, _170351, _170353] : [-(c_member(tc_prod(_170347, _170347), c_Product__Type_OPair(_170347, _170347, _170349, _170351), c_Transitive__Closure_Ortrancl(_170347, _170353))), 2658 ^ _66352 : [(2659 ^ _66352) ^ [] : [_170349 = _170351], (2661 ^ _66352) ^ [] : [-(_170349 = _170351), c_member(tc_prod(_170347, _170347), c_Product__Type_OPair(_170347, _170347, _170349, _170351), c_Transitive__Closure_Otrancl(_170347, _170353))]]], (2669 ^ _66352) ^ [_170825, _170827, _170829, _170831] : [c_member(tc_prod(_170825, _170825), c_Product__Type_OPair(_170825, _170825, _170827, _170829), c_Transitive__Closure_Otrancl(_170825, hAPP(c_Relation_Oconverse(_170825, _170825), _170831))), -(c_member(tc_prod(_170825, _170825), c_Product__Type_OPair(_170825, _170825, _170827, _170829), hAPP(c_Relation_Oconverse(_170825, _170825), c_Transitive__Closure_Otrancl(_170825, _170831))))], (2675 ^ _66352) ^ [_171147, _171149, _171151, _171153] : [c_member(tc_prod(_171147, _171147), c_Product__Type_OPair(_171147, _171147, _171149, _171151), hAPP(c_Relation_Oconverse(_171147, _171147), c_Transitive__Closure_Otrancl(_171147, _171153))), -(c_member(tc_prod(_171147, _171147), c_Product__Type_OPair(_171147, _171147, _171149, _171151), c_Transitive__Closure_Otrancl(_171147, hAPP(c_Relation_Oconverse(_171147, _171147), _171153))))], (2681 ^ _66352) ^ [_171469, _171471, _171473, _171475] : [c_member(tc_prod(_171469, _171469), c_Product__Type_OPair(_171469, _171469, _171471, _171473), c_Transitive__Closure_Otrancl(_171469, _171475)), 2685 ^ _66352 : [(2686 ^ _66352) ^ [] : [-(c_member(tc_prod(_171469, _171469), c_Product__Type_OPair(_171469, _171469, _171471, 2684 ^ [_171469, _171471, _171473, _171475]), _171475))], (2688 ^ _66352) ^ [] : [-(c_member(tc_prod(_171469, _171469), c_Product__Type_OPair(_171469, _171469, 2684 ^ [_171469, _171471, _171473, _171475], _171473), c_Transitive__Closure_Ortrancl(_171469, _171475)))]]], (2690 ^ _66352) ^ [_171971, _171973, _171975, _171977] : [c_member(tc_prod(_171971, _171971), c_Product__Type_OPair(_171971, _171971, _171973, _171975), c_Transitive__Closure_Otrancl(_171971, _171977)), 2694 ^ _66352 : [(2695 ^ _66352) ^ [] : [-(c_member(tc_prod(_171971, _171971), c_Product__Type_OPair(_171971, _171971, _171973, 2693 ^ [_171971, _171973, _171975, _171977]), c_Transitive__Closure_Ortrancl(_171971, _171977)))], (2697 ^ _66352) ^ [] : [-(c_member(tc_prod(_171971, _171971), c_Product__Type_OPair(_171971, _171971, 2693 ^ [_171971, _171973, _171975, _171977], _171975), _171977))]]], (2699 ^ _66352) ^ [_172474, _172476] : [c_Wellfounded_Oacyclic(_172474, _172476), 2702 ^ _66352 : [(2703 ^ _66352) ^ [_172603] : [c_member(tc_prod(_172474, _172474), c_Product__Type_OPair(_172474, _172474, _172603, _172603), c_Transitive__Closure_Otrancl(_172474, _172476))]]], (2705 ^ _66352) ^ [_172683, _172685] : [-(c_member(tc_prod(_172683, _172683), c_Product__Type_OPair(_172683, _172683, 2706 ^ [_172683, _172685], 2706 ^ [_172683, _172685]), c_Transitive__Closure_Otrancl(_172683, _172685))), -(c_Wellfounded_Oacyclic(_172683, _172685))], (2712 ^ _66352) ^ [_173028, _173030, _173032, _173034] : [c_member(tc_prod(_173028, _173028), c_Product__Type_OPair(_173028, _173028, _173030, _173032), c_Transitive__Closure_Otrancl(_173028, _173034)), -(c_member(tc_prod(_173028, _173028), c_Product__Type_OPair(_173028, _173028, _173030, _173032), _173034)), 2720 ^ _66352 : [(2721 ^ _66352) ^ [] : [-(c_member(tc_prod(_173028, _173028), c_Product__Type_OPair(_173028, _173028, _173030, 2719 ^ [_173028, _173030, _173032, _173034]), c_Transitive__Closure_Otrancl(_173028, _173034)))], (2723 ^ _66352) ^ [] : [-(c_member(tc_prod(_173028, _173028), c_Product__Type_OPair(_173028, _173028, 2719 ^ [_173028, _173030, _173032, _173034], _173032), _173034))]]], (2725 ^ _66352) ^ [_173654, _173656, _173658, _173660] : [c_member(tc_prod(_173654, _173654), c_Product__Type_OPair(_173654, _173654, _173656, _173658), c_Transitive__Closure_Otrancl(_173654, _173660)), -(c_member(tc_prod(_173654, _173654), c_Product__Type_OPair(_173654, _173654, _173656, _173658), _173660)), 2733 ^ _66352 : [(2734 ^ _66352) ^ [] : [-(c_member(tc_prod(_173654, _173654), c_Product__Type_OPair(_173654, _173654, _173656, 2732 ^ [_173654, _173656, _173658, _173660]), _173660))], (2736 ^ _66352) ^ [] : [-(c_member(tc_prod(_173654, _173654), c_Product__Type_OPair(_173654, _173654, 2732 ^ [_173654, _173656, _173658, _173660], _173658), c_Transitive__Closure_Otrancl(_173654, _173660)))]]], (2738 ^ _66352) ^ [_174280, _174282, _174284, _174286] : [-(c_member(tc_prod(_174280, _174280), c_Product__Type_OPair(_174280, _174280, 2739 ^ [_174280, _174282, _174284, _174286], 2739 ^ [_174280, _174282, _174284, _174286]), c_Transitive__Closure_Otrancl(_174280, _174282))), c_member(tc_prod(_174280, _174280), c_Product__Type_OPair(_174280, _174280, _174284, _174286), _174282), _174284 = _174286], (2749 ^ _66352) ^ [_174766, _174768, _174770, _174772, _174774] : [-(c_Nitpick_Owf__wfrec_H(_174766, _174768, _174770, _174772, _174774) = hAPP(hAPP(_174772, c_Recdef_Ocut(_174766, _174768, c_Nitpick_Owf__wfrec(_174766, _174768, _174770, _174772), _174770, _174774)), _174774))], (2751 ^ _66352) ^ [_174933, _174935] : [c_Wellfounded_Oacyclic(_174933, hAPP(c_Relation_Oconverse(_174933, _174933), _174935)), -(c_Wellfounded_Oacyclic(_174933, _174935))], (2757 ^ _66352) ^ [_175107, _175109] : [c_Wellfounded_Oacyclic(_175107, _175109), -(c_Wellfounded_Oacyclic(_175107, hAPP(c_Relation_Oconverse(_175107, _175107), _175109)))], (2763 ^ _66352) ^ [_175331, _175333] : [-(c_member(tc_prod(_175331, _175331), c_Product__Type_OPair(_175331, _175331, 2764 ^ [_175331, _175333], 2764 ^ [_175331, _175333]), c_Transitive__Closure_Otrancl(_175331, _175333))), -(c_Wellfounded_Oacyclic(_175331, _175333))], (2770 ^ _66352) ^ [_175703, _175705, _175707, _175709] : [c_Wellfounded_Oacyclic(_175703, c_Set_Oinsert(tc_prod(_175703, _175703), c_Product__Type_OPair(_175703, _175703, _175705, _175707), _175709)), 2773 ^ _66352 : [(2774 ^ _66352) ^ [] : [-(c_Wellfounded_Oacyclic(_175703, _175709))], (2776 ^ _66352) ^ [] : [c_member(tc_prod(_175703, _175703), c_Product__Type_OPair(_175703, _175703, _175707, _175705), c_Transitive__Closure_Ortrancl(_175703, _175709))]]], (2778 ^ _66352) ^ [_176005, _176007, _176009, _176011] : [-(c_Wellfounded_Oacyclic(_176005, c_Set_Oinsert(tc_prod(_176005, _176005), c_Product__Type_OPair(_176005, _176005, _176007, _176009), _176011))), c_Wellfounded_Oacyclic(_176005, _176011), -(c_member(tc_prod(_176005, _176005), c_Product__Type_OPair(_176005, _176005, _176009, _176007), c_Transitive__Closure_Ortrancl(_176005, _176011)))], (2788 ^ _66352) ^ [_176377, _176379] : [c_Wellfounded_Oacyclic(_176377, _176379), -(c_Relation_Oantisym(_176377, c_Transitive__Closure_Ortrancl(_176377, _176379)))], (2794 ^ _66352) ^ [_176578, _176580] : [-(c_member(tc_prod(_176578, _176578), c_Product__Type_OPair(_176578, _176578, _176580, _176580), c_Relation_OId(_176578)))], (2797 ^ _66352) ^ [] : [-(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), 2795 ^ [], c_Arrow__Order__Mirabelle_OLin))], (2799 ^ _66352) ^ [_176832, _176834, _176836] : [hBOOL(hAPP(_176832, 2800 ^ [_176832, _176834, _176836])), 2803 ^ _66352 : [(2804 ^ _66352) ^ [_177047, _177049] : [-(hBOOL(hAPP(_176832, c_Product__Type_OPair(_176834, _176836, _177049, _177047))))]]], (2806 ^ _66352) ^ [_177126, _177128, _177130] : [hBOOL(hAPP(_177126, c_Product__Type_OPair(_177128, _177130, 2807 ^ [_177126, _177128, _177130], 2808 ^ [_177126, _177128, _177130]))), 2811 ^ _66352 : [(2812 ^ _66352) ^ [_177416] : [-(hBOOL(hAPP(_177126, _177416)))]]], (2814 ^ _66352) ^ [_177566, _177568, _177570, _177572] : [2815 ^ _66352 : [(2816 ^ _66352) ^ [] : [c_member(_177566, _177568, _177570)], (2818 ^ _66352) ^ [] : [_177568 = _177572]], -(c_member(_177566, _177568, c_Set_Oinsert(_177566, _177572, _177570)))], (2822 ^ _66352) ^ [_177908, _177910, _177912, _177914] : [c_member(_177908, _177910, c_Set_Oinsert(_177908, _177912, _177914)), -(_177910 = _177912), -(c_member(_177908, _177910, _177914))], (2842 ^ _66352) ^ [_178587, _178589, _178591, _178593] : [2843 ^ _66352 : [(2844 ^ _66352) ^ [] : [_178589 = _178593], (2846 ^ _66352) ^ [] : [hBOOL(hAPP(_178591, _178593))]], -(hBOOL(hAPP(c_Set_Oinsert(_178587, _178589, _178591), _178593)))], (2832 ^ _66352) ^ [_178299, _178301, _178303, _178305] : [hBOOL(hAPP(c_Set_Oinsert(_178299, _178301, _178303), _178305)), -(_178301 = _178305), -(hBOOL(hAPP(_178303, _178305)))], (2850 ^ _66352) ^ [_178918, _178920, _178922, _178924] : [-(c_Set_Oinsert(_178918, _178920, c_Set_Oinsert(_178918, _178922, _178924)) = c_Set_Oinsert(_178918, _178922, c_Set_Oinsert(_178918, _178920, _178924)))], (2852 ^ _66352) ^ [_179046, _179048, _179050] : [-(c_Set_Oinsert(_179046, _179048, c_Set_Oinsert(_179046, _179048, _179050)) = c_Set_Oinsert(_179046, _179048, _179050))], (2854 ^ _66352) ^ [_179140] : [-(c_Relation_Oantisym(_179140, c_Relation_OId(_179140)))], (2856 ^ _66352) ^ [_179276, _179278, _179280, _179282, _179284] : [-(c_Relation_ODomain(_179276, _179278, c_Set_Oinsert(tc_prod(_179276, _179278), c_Product__Type_OPair(_179276, _179278, _179280, _179282), _179284)) = c_Set_Oinsert(_179276, _179280, c_Relation_ODomain(_179276, _179278, _179284)))], (2858 ^ _66352) ^ [_179442, _179444, _179446, _179448, _179450] : [-(c_Relation_ORange(_179442, _179444, c_Set_Oinsert(tc_prod(_179442, _179444), c_Product__Type_OPair(_179442, _179444, _179446, _179448), _179450)) = c_Set_Oinsert(_179444, _179448, c_Relation_ORange(_179442, _179444, _179450)))], (2860 ^ _66352) ^ [_179595, _179597, _179599] : [c_member(_179595, _179597, _179599), -(c_Set_Oinsert(_179595, _179597, _179599) = _179599)], (2866 ^ _66352) ^ [_179849, _179851, _179853, _179855] : [c_member(_179849, _179851, _179853), -(c_member(_179849, _179851, c_Set_Oinsert(_179849, _179855, _179853)))], (2872 ^ _66352) ^ [_180111, _180113, _180115, _180117] : [-(c_member(_180111, _180113, _180115)), -(c_member(_180111, _180113, _180117)), 2879 ^ _66352 : [(2880 ^ _66352) ^ [] : [c_Set_Oinsert(_180111, _180113, _180115) = c_Set_Oinsert(_180111, _180113, _180117), -(_180115 = _180117)], (2886 ^ _66352) ^ [] : [_180115 = _180117, -(c_Set_Oinsert(_180111, _180113, _180115) = c_Set_Oinsert(_180111, _180113, _180117))]]], (2902 ^ _66352) ^ [_181075, _181077, _181079, _181081] : [2903 ^ _66352 : [(2904 ^ _66352) ^ [] : [_181077 = _181079], (2906 ^ _66352) ^ [] : [c_member(_181075, _181077, _181081)]], -(c_member(_181075, _181077, c_Set_Oinsert(_181075, _181079, _181081)))], (2892 ^ _66352) ^ [_180791, _180793, _180795, _180797] : [c_member(_180791, _180793, c_Set_Oinsert(_180791, _180795, _180797)), -(_180793 = _180795), -(c_member(_180791, _180793, _180797))], (2910 ^ _66352) ^ [_181388, _181390, _181392] : [-(c_member(_181388, _181390, c_Set_Oinsert(_181388, _181390, _181392)))], (2912 ^ _66352) ^ [_181475] : [-(hAPP(c_Relation_Oconverse(_181475, _181475), c_Relation_OId(_181475)) = c_Relation_OId(_181475))], (2914 ^ _66352) ^ [_181563] : [-(c_Relation_Osingle__valued(_181563, _181563, c_Relation_OId(_181563)))], (2916 ^ _66352) ^ [_181702, _181704] : [c_Relation_Oantisym(_181702, hAPP(c_Relation_Oconverse(_181702, _181702), _181704)), -(c_Relation_Oantisym(_181702, _181704))], (2922 ^ _66352) ^ [_181876, _181878] : [c_Relation_Oantisym(_181876, _181878), -(c_Relation_Oantisym(_181876, hAPP(c_Relation_Oconverse(_181876, _181876), _181878)))], (2928 ^ _66352) ^ [_182085, _182087] : [-(c_Relation_Oantisym(_182085, c_Relation_OId__on(_182085, _182087)))], (2930 ^ _66352) ^ [_182240, _182242, _182244] : [c_member(tc_prod(_182240, _182240), c_Product__Type_OPair(_182240, _182240, _182242, _182244), c_Relation_OId(_182240)), -(_182242 = _182244)], (2936 ^ _66352) ^ [_182430, _182432, _182434] : [_182432 = _182434, -(c_member(tc_prod(_182430, _182430), c_Product__Type_OPair(_182430, _182430, _182432, _182434), c_Relation_OId(_182430)))], (2942 ^ _66352) ^ [_182698, _182700, _182702, _182704] : [c_Relation_Oantisym(_182698, _182700), c_member(tc_prod(_182698, _182698), c_Product__Type_OPair(_182698, _182698, _182702, _182704), _182700), c_member(tc_prod(_182698, _182698), c_Product__Type_OPair(_182698, _182698, _182704, _182702), _182700), -(_182702 = _182704)], (2970 ^ _66352) ^ [_183675, _183677] : [2973 ^ _66352 : [(2974 ^ _66352) ^ [] : [-(c_member(tc_prod(_183675, _183675), c_Product__Type_OPair(_183675, _183675, 2971 ^ [_183675, _183677], 2972 ^ [_183675, _183677]), _183677))], (2976 ^ _66352) ^ [] : [-(c_member(tc_prod(_183675, _183675), c_Product__Type_OPair(_183675, _183675, 2972 ^ [_183675, _183677], 2971 ^ [_183675, _183677]), _183677))], (2978 ^ _66352) ^ [] : [2971 ^ [_183675, _183677] = 2972 ^ [_183675, _183677]]], -(c_Relation_Oantisym(_183675, _183677))], (2956 ^ _66352) ^ [_183179, _183181] : [c_Relation_Oantisym(_183179, _183181), 2959 ^ _66352 : [(2960 ^ _66352) ^ [_183359, _183361] : [c_member(tc_prod(_183179, _183179), c_Product__Type_OPair(_183179, _183179, _183361, _183359), _183181), c_member(tc_prod(_183179, _183179), c_Product__Type_OPair(_183179, _183179, _183359, _183361), _183181), -(_183361 = _183359)]]], (2982 ^ _66352) ^ [_184356, _184358, _184360, _184362, _184364, _184366] : [c_Product__Type_OPair(_184356, _184358, _184360, _184362) = c_Product__Type_OPair(_184356, _184358, _184364, _184366), 2985 ^ _66352 : [(2986 ^ _66352) ^ [] : [-(_184360 = _184364)], (2988 ^ _66352) ^ [] : [-(_184362 = _184366)]]], (2990 ^ _66352) ^ [_184782, _184784, _184786, _184788, _184790, _184792] : [c_Product__Type_OPair(_184782, _184784, _184786, _184788) = c_Product__Type_OPair(_184782, _184784, _184790, _184792), 2993 ^ _66352 : [(2994 ^ _66352) ^ [] : [-(_184786 = _184790)], (2996 ^ _66352) ^ [] : [-(_184788 = _184792)]]], (2998 ^ _66352) ^ [_185071, _185073, _185075, _185077, _185079, _185081] : [-(c_Product__Type_OPair(_185071, _185073, _185075, _185077) = c_Product__Type_OPair(_185071, _185073, _185079, _185081)), _185075 = _185079, _185077 = _185081], (3008 ^ _66352) ^ [_185473, _185475, _185477, _185479, _185481, _185483] : [-(c_Product__Type_Oprod_Oprod__rec(_185473, _185475, _185477, _185479, c_Product__Type_OPair(_185473, _185475, _185481, _185483)) = hAPP(hAPP(_185479, _185481), _185483))], (3010 ^ _66352) ^ [_185607, _185609] : [c_member(tc_prod(_185607, _185607), _185609, c_Relation_OId(_185607)), -(_185609 = c_Product__Type_OPair(_185607, _185607, 3013 ^ [_185607, _185609], 3013 ^ [_185607, _185609]))], (3017 ^ _66352) ^ [_185955, _185957, _185959, _185961, _185963, _185965] : [-(c_Product__Type_Ointernal__split(_185955, _185957, _185959, _185961, c_Product__Type_OPair(_185955, _185957, _185963, _185965)) = hAPP(hAPP(_185961, _185963), _185965))], (3019 ^ _66352) ^ [_186146, _186148, _186150, _186152] : [c_Wellfounded_Owf(_186146, c_Set_Oinsert(tc_prod(_186146, _186146), c_Product__Type_OPair(_186146, _186146, _186148, _186150), _186152)), 3022 ^ _66352 : [(3023 ^ _66352) ^ [] : [-(c_Wellfounded_Owf(_186146, _186152))], (3025 ^ _66352) ^ [] : [c_member(tc_prod(_186146, _186146), c_Product__Type_OPair(_186146, _186146, _186150, _186148), c_Transitive__Closure_Ortrancl(_186146, _186152))]]], (3027 ^ _66352) ^ [_186448, _186450, _186452, _186454] : [-(c_Wellfounded_Owf(_186448, c_Set_Oinsert(tc_prod(_186448, _186448), c_Product__Type_OPair(_186448, _186448, _186450, _186452), _186454))), c_Wellfounded_Owf(_186448, _186454), -(c_member(tc_prod(_186448, _186448), c_Product__Type_OPair(_186448, _186448, _186452, _186450), c_Transitive__Closure_Ortrancl(_186448, _186454)))], (3037 ^ _66352) ^ [_186820, _186822] : [3040 ^ _66352 : [(3041 ^ _66352) ^ [] : [-(c_member(tc_prod(_186820, _186820), c_Product__Type_OPair(_186820, _186820, 3038 ^ [_186820, _186822], 3039 ^ [_186820, _186822]), _186822))], (3043 ^ _66352) ^ [] : [-(c_member(tc_prod(_186820, _186820), c_Product__Type_OPair(_186820, _186820, 3039 ^ [_186820, _186822], 3038 ^ [_186820, _186822]), _186822))], (3045 ^ _66352) ^ [] : [3038 ^ [_186820, _186822] = 3039 ^ [_186820, _186822]]], -(c_Relation_Oantisym(_186820, _186822))], (3049 ^ _66352) ^ [_187485, _187487, _187489, _187491, _187493] : [hBOOL(hAPP(_187485, c_Product__Type_OPair(_187487, _187489, _187491, _187493))), -(hBOOL(c_Product__Type_Ocurry(_187487, _187489, tc_HOL_Obool, _187485, _187491, _187493)))], (3055 ^ _66352) ^ [_187767, _187769, _187771, _187773] : [c_Wellfounded_Owf(_187767, _187769), -(c_Wellfounded_Owf(_187771, hAPP(c_Relation_Oinv__image(_187767, _187771, _187769), _187773)))], (3061 ^ _66352) ^ [_188031, _188033, _188035, _188037] : [c_Wellfounded_Owf(_188031, _188033), c_Wellfounded_Owf(_188035, _188037), -(c_Wellfounded_Owf(tc_prod(_188031, _188035), c_Wellfounded_Olex__prod(_188031, _188035, _188033, _188037)))], (3071 ^ _66352) ^ [_188366, _188368] : [c_Wellfounded_Owf(_188366, _188368), -(c_Wellfounded_Owf(_188366, c_Transitive__Closure_Otrancl(_188366, _188368)))], (3077 ^ _66352) ^ [_188582, _188584] : [c_Wellfounded_Owf(_188582, _188584), -(c_Wellfounded_Oacyclic(_188582, _188584))], (3083 ^ _66352) ^ [_188806, _188808, _188810] : [c_Wellfounded_Owf(_188806, _188808), c_member(tc_prod(_188806, _188806), c_Product__Type_OPair(_188806, _188806, _188810, _188810), _188808)], (3089 ^ _66352) ^ [_189069, _189071, _189073, _189075] : [c_Wellfounded_Owf(_189069, _189071), c_member(tc_prod(_189069, _189069), c_Product__Type_OPair(_189069, _189069, _189073, _189075), _189071), c_member(tc_prod(_189069, _189069), c_Product__Type_OPair(_189069, _189069, _189075, _189073), _189071)], (3099 ^ _66352) ^ [_189453, _189455, _189457, _189459] : [c_Wellfounded_Owf(_189453, _189455), c_member(tc_prod(_189453, _189453), c_Product__Type_OPair(_189453, _189453, _189457, _189459), _189455), c_member(tc_prod(_189453, _189453), c_Product__Type_OPair(_189453, _189453, _189459, _189457), _189455)], (3109 ^ _66352) ^ [_189823, _189825, _189827] : [c_Wellfounded_Owf(_189823, _189825), c_member(tc_prod(_189823, _189823), c_Product__Type_OPair(_189823, _189823, _189827, _189827), _189825)], (3115 ^ _66352) ^ [_190087, _190089] : [c_Wellfounded_Owf(_190087, _190089), 3118 ^ _66352 : [(3119 ^ _66352) ^ [_190207] : [-(c_member(_190087, _190207, c_Wellfounded_Oacc(_190087, _190089)))]]], (3121 ^ _66352) ^ [_190279, _190281] : [c_member(_190279, 3122 ^ [_190279, _190281], c_Wellfounded_Oacc(_190279, _190281)), -(c_Wellfounded_Owf(_190279, _190281))], (3128 ^ _66352) ^ [_190574, _190576, _190578] : [c_Wellfounded_Owf(_190574, _190576), -(c_member(_190574, _190578, c_Wellfounded_Oacc(_190574, _190576)))], (3134 ^ _66352) ^ [_190798, _190800] : [c_Wellfounded_Owf(_190798, hAPP(c_Relation_Oconverse(_190798, _190798), _190800)), -(c_Wellfounded_Owf(_190798, hAPP(c_Relation_Oconverse(_190798, _190798), c_Transitive__Closure_Otrancl(_190798, _190800))))], (3140 ^ _66352) ^ [_191080, _191082, _191084, _191086, _191088] : [hBOOL(c_Product__Type_Ocurry(_191080, _191082, tc_HOL_Obool, _191084, _191086, _191088)), -(hBOOL(hAPP(_191084, c_Product__Type_OPair(_191080, _191082, _191086, _191088))))], (3146 ^ _66352) ^ [_191376, _191378, _191380, _191382, _191384] : [hBOOL(c_Product__Type_Ocurry(_191376, _191378, tc_HOL_Obool, _191380, _191382, _191384)), -(hBOOL(hAPP(_191380, c_Product__Type_OPair(_191376, _191378, _191382, _191384))))], (3152 ^ _66352) ^ [_191671, _191673, _191675, _191677, _191679, _191681] : [-(c_Product__Type_Ocurry(_191671, _191673, _191675, _191677, _191679, _191681) = hAPP(_191677, c_Product__Type_OPair(_191671, _191673, _191679, _191681)))], (3154 ^ _66352) ^ [_191788, _191790] : [-(c_Wellfounded_Owf(_191788, hAPP(c_Wellfounded_Omeasure(_191788), _191790)))], (3156 ^ _66352) ^ [_191930, _191932, _191934, _191936] : [c_Wellfounded_Owf(_191934, _191930), 3159 ^ _66352 : [(3160 ^ _66352) ^ [_192079] : [-(hAPP(c_Recdef_Owfrec(_191934, _191936, _191930, _191932), _192079) = hAPP(hAPP(_191932, c_Recdef_Ocut(_191934, _191936, c_Recdef_Owfrec(_191934, _191936, _191930, _191932), _191930, _192079)), _192079))]]], (3162 ^ _66352) ^ [_192266, _192268, _192270, _192272, _192274] : [c_Wellfounded_Owf(_192266, _192268), -(hAPP(c_Recdef_Owfrec(_192266, _192270, _192268, _192272), _192274) = hAPP(hAPP(_192272, c_Recdef_Ocut(_192266, _192270, c_Recdef_Owfrec(_192266, _192270, _192268, _192272), _192268, _192274)), _192274))], (3168 ^ _66352) ^ [_192600, _192602, _192604, _192606, _192608, _192610] : [_192600 = c_Recdef_Owfrec(_192602, _192604, _192606, _192608), c_Wellfounded_Owf(_192602, _192606), -(hAPP(_192600, _192610) = hAPP(hAPP(_192608, c_Recdef_Ocut(_192602, _192604, _192600, _192606, _192610)), _192610))], (3195 ^ _66352) ^ [_193767, _193769] : [-(c_Wellfounded_Owf(_193767, _193769)), 3198 ^ _66352 : [(3199 ^ _66352) ^ [] : [-(c_member(_193767, 3197 ^ [_193767, _193769], 3196 ^ [_193767, _193769]))], (3201 ^ _66352) ^ [_194126] : [c_member(_193767, _194126, 3196 ^ [_193767, _193769]), 3205 ^ _66352 : [(3206 ^ _66352) ^ [] : [-(c_member(tc_prod(_193767, _193767), c_Product__Type_OPair(_193767, _193767, 3204 ^ [_193767, _193769, _194126], _194126), _193769))], (3208 ^ _66352) ^ [] : [-(c_member(_193767, 3204 ^ [_193767, _193769, _194126], 3196 ^ [_193767, _193769]))]]]]], (3178 ^ _66352) ^ [_193008, _193010] : [c_Wellfounded_Owf(_193008, _193010), 3181 ^ _66352 : [(3182 ^ _66352) ^ [_193186] : [3183 ^ _66352 : [(3184 ^ _66352) ^ [_193298] : [c_member(_193008, _193298, _193186)]], 3186 ^ _66352 : [(3187 ^ _66352) ^ [] : [-(c_member(_193008, 3185 ^ [_193008, _193010, _193186], _193186))], (3189 ^ _66352) ^ [_193535] : [c_member(tc_prod(_193008, _193008), c_Product__Type_OPair(_193008, _193008, _193535, 3185 ^ [_193008, _193010, _193186]), _193010), c_member(_193008, _193535, _193186)]]]]], (3212 ^ _66352) ^ [_194655, _194657, _194659, _194661] : [3214 ^ _66352 : [(3215 ^ _66352) ^ [] : [-(hBOOL(hAPP(_194655, 3213 ^ [_194655, _194657, _194659, _194661])))], (3217 ^ _66352) ^ [] : [c_Wellfounded_Owf(_194657, hAPP(_194659, 3213 ^ [_194655, _194657, _194659, _194661]))]], -(c_Wellfounded_Owf(tc_prod(_194661, _194657), c_Recdef_Osame__fst(_194661, _194657, _194655, _194659)))], (3221 ^ _66352) ^ [_195073, _195075] : [c_Wellfounded_Owf(_195073, _195075), -(c_Wellfounded_OwfP(_195073, c_FunDef_Oin__rel(_195073, _195073, _195075)))], (3227 ^ _66352) ^ [_195291, _195293] : [c_member(_195291, 3228 ^ [_195291, _195293], c_Wellfounded_Oacc(_195291, _195293)), -(c_Wellfounded_Owf(_195291, _195293))], (3234 ^ _66352) ^ [_195627, _195629, _195631, _195633] : [c_member(tc_prod(_195627, _195627), c_Product__Type_OPair(_195627, _195627, _195629, _195631), hAPP(c_Wellfounded_Omeasure(_195627), _195633)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_195633, _195629), hAPP(_195633, _195631)))], (3240 ^ _66352) ^ [_195843, _195845, _195847, _195849] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_195849, _195845), hAPP(_195849, _195847)), -(c_member(tc_prod(_195843, _195843), c_Product__Type_OPair(_195843, _195843, _195845, _195847), hAPP(c_Wellfounded_Omeasure(_195843), _195849)))], (3246 ^ _66352) ^ [_196080] : [-(c_Wellfounded_Omeasure(_196080) = c_Relation_Oinv__image(tc_Nat_Onat, _196080, c_Wellfounded_Oless__than))], (3248 ^ _66352) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than))], (3250 ^ _66352) ^ [_196275, _196277] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _196275, _196277), c_Wellfounded_Oless__than), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _196275, _196277))], (3256 ^ _66352) ^ [_196451, _196453] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _196451, _196453), -(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _196451, _196453), c_Wellfounded_Oless__than))], (3262 ^ _66352) ^ [_196719, _196721, _196723, _196725, _196727] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_196719, _196721), hAPP(_196719, _196723)), -(c_member(tc_prod(_196725, _196725), c_Product__Type_OPair(_196725, _196725, _196721, _196723), c_Wellfounded_Omlex__prod(_196725, _196719, _196727)))], (3268 ^ _66352) ^ [] : [-(c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (3270 ^ _66352) ^ [_197040, _197042] : [c_Finite__Set_Ofinite(tc_prod(_197040, _197040), _197042), c_Wellfounded_Oacyclic(_197040, _197042), -(c_Wellfounded_Owf(_197040, hAPP(c_Relation_Oconverse(_197040, _197040), _197042)))], (3280 ^ _66352) ^ [_197357, _197359] : [c_Wellfounded_Owf(_197357, _197359), -(c_Wellfounded_Owf(tc_fun(_197357, tc_HOL_Obool), c_Wellfounded_Omin__ext(_197357, _197359)))], (3286 ^ _66352) ^ [_197593, _197595, _197597] : [3287 ^ _66352 : [(3288 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _197593, _197595))], (3290 ^ _66352) ^ [] : [hBOOL(hAPP(hAPP(_197597, _197595), _197593))]], 3293 ^ _66352 : [(3294 ^ _66352) ^ [] : [-(_197593 = _197595)], (3296 ^ _66352) ^ [] : [hBOOL(hAPP(hAPP(_197597, _197595), _197593))]], 3299 ^ _66352 : [(3300 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _197595, _197593))], (3302 ^ _66352) ^ [] : [hBOOL(hAPP(hAPP(_197597, _197595), _197593))]], -(hBOOL(hAPP(hAPP(_197597, _197595), _197593)))], (3306 ^ _66352) ^ [_198284, _198286, _198288] : [c_Finite__Set_Ofinite(tc_prod(_198284, _198286), _198288), -(c_Finite__Set_Ofinite(_198284, c_Relation_ODomain(_198284, _198286, _198288)))], (3312 ^ _66352) ^ [_198528, _198530, _198532] : [c_Finite__Set_Ofinite(tc_prod(_198528, _198530), _198532), -(c_Finite__Set_Ofinite(_198530, c_Relation_ORange(_198528, _198530, _198532)))], (3318 ^ _66352) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (3320 ^ _66352) ^ [_198840, _198842] : [c_Finite__Set_Ofinite(tc_prod(_198840, _198840), c_Transitive__Closure_Otrancl(_198840, _198842)), -(c_Finite__Set_Ofinite(tc_prod(_198840, _198840), _198842))], (3326 ^ _66352) ^ [_199020, _199022] : [c_Finite__Set_Ofinite(tc_prod(_199020, _199020), _199022), -(c_Finite__Set_Ofinite(tc_prod(_199020, _199020), c_Transitive__Closure_Otrancl(_199020, _199022)))], (3332 ^ _66352) ^ [_199293, _199295, _199297] : [c_Finite__Set_Ofinite(tc_prod(_199293, _199295), hAPP(c_Relation_Oconverse(_199295, _199293), _199297)), -(c_Finite__Set_Ofinite(tc_prod(_199295, _199293), _199297))], (3338 ^ _66352) ^ [_199485, _199487, _199489] : [c_Finite__Set_Ofinite(tc_prod(_199487, _199485), _199489), -(c_Finite__Set_Ofinite(tc_prod(_199485, _199487), hAPP(c_Relation_Oconverse(_199487, _199485), _199489)))], (3344 ^ _66352) ^ [_199727, _199729] : [c_Finite__Set_Ofinite(tc_prod(_199727, _199727), _199729), 3347 ^ _66352 : [(3348 ^ _66352) ^ [] : [c_Wellfounded_Owf(_199727, _199729), -(c_Wellfounded_Oacyclic(_199727, _199729))], (3354 ^ _66352) ^ [] : [c_Wellfounded_Oacyclic(_199727, _199729), -(c_Wellfounded_Owf(_199727, _199729))]]], (3360 ^ _66352) ^ [_200193, _200195] : [c_Finite__Set_Ofinite(tc_prod(_200193, _200193), _200195), c_Wellfounded_Oacyclic(_200193, _200195), -(c_Wellfounded_Owf(_200193, _200195))], (3370 ^ _66352) ^ [_200527, _200529] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _200527, _200529), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _200527, _200529))], (3376 ^ _66352) ^ [_200703, _200705] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _200703, _200705), -(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _200703, _200705), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)))], (3382 ^ _66352) ^ [_200943, _200945, _200947] : [c_Wellfounded_Owf(_200943, _200945), -(c_Wellfounded_Owf(_200943, c_Wellfounded_Omlex__prod(_200943, _200947, _200945)))], (3388 ^ _66352) ^ [_201137] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201137, _201137)], (3400 ^ _66352) ^ [_201533, _201535] : [3401 ^ _66352 : [(3402 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201533, _201535)], (3404 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201535, _201533)]], _201533 = _201535], (3390 ^ _66352) ^ [_201274, _201276] : [-(_201274 = _201276), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201274, _201276)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201276, _201274))], (3408 ^ _66352) ^ [_201824, _201826] : [-(_201824 = _201826), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201824, _201826)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _201826, _201824))], (3418 ^ _66352) ^ [_202103] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _202103, _202103)], (3420 ^ _66352) ^ [_202211, _202213] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _202211, _202213), _202213 = _202211], (3426 ^ _66352) ^ [_202424, _202426] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _202424, _202426), _202424 = _202426], (3432 ^ _66352) ^ [_202651, _202653, _202655] : [c_Finite__Set_Ofinite(_202651, _202653), -(c_Finite__Set_Ofinite(_202651, c_Set_Oinsert(_202651, _202655, _202653)))], (3438 ^ _66352) ^ [_202904, _202906] : [c_Nitpick_Owf_H(_202904, _202906), 3441 ^ _66352 : [(3442 ^ _66352) ^ [] : [-(c_Wellfounded_Oacyclic(_202904, _202906))], (3444 ^ _66352) ^ [] : [-(c_Finite__Set_Ofinite(tc_prod(_202904, _202904), _202906)), -(c_Nitpick_Ounknown(tc_HOL_Obool))]]], (3450 ^ _66352) ^ [_203231, _203233] : [-(c_Nitpick_Owf_H(_203231, _203233)), c_Wellfounded_Oacyclic(_203231, _203233), 3455 ^ _66352 : [(3456 ^ _66352) ^ [] : [c_Finite__Set_Ofinite(tc_prod(_203231, _203231), _203233)], (3458 ^ _66352) ^ [] : [c_Nitpick_Ounknown(tc_HOL_Obool)]]], (3462 ^ _66352) ^ [_203649, _203651, _203653] : [c_Finite__Set_Ofinite(_203649, c_Set_Oinsert(_203649, _203651, _203653)), -(c_Finite__Set_Ofinite(_203649, _203653))], (3468 ^ _66352) ^ [_203825, _203827, _203829] : [c_Finite__Set_Ofinite(_203825, _203829), -(c_Finite__Set_Ofinite(_203825, c_Set_Oinsert(_203825, _203827, _203829)))], (3474 ^ _66352) ^ [_204022] : [-(c_Wellfounded_Owf(tc_fun(_204022, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_204022)))], (3476 ^ _66352) ^ [_204134, _204136] : [c_Wellfounded_Owf(_204134, _204136), -(c_Wellfounded_Owf(tc_fun(_204134, tc_HOL_Obool), c_Wellfounded_Omax__ext(_204134, _204136)))], (3482 ^ _66352) ^ [_204356, _204358] : [class_Finite__Set_Ofinite(_204356), -(c_Finite__Set_Ofinite(_204356, _204358))], (3488 ^ _66352) ^ [_204564, _204566] : [class_Finite__Set_Ofinite(_204564), -(c_Finite__Set_Ofinite(_204564, _204566))], (3494 ^ _66352) ^ [_204828, _204830, _204832, _204834, _204836, _204838] : [c_Finite__Set_Ofolding__idem(_204828, _204830, _204832, _204834), c_Finite__Set_Ofinite(_204828, _204836), -(hAPP(_204834, c_Set_Oinsert(_204828, _204838, _204836)) = c_Fun_Ocomp(_204830, _204830, _204830, hAPP(_204834, _204836), hAPP(_204832, _204838)))], (3504 ^ _66352) ^ [_205265, _205267, _205269, _205271, _205273, _205275] : [c_Finite__Set_Ofolding__idem(_205265, _205267, _205269, _205271), c_Finite__Set_Ofinite(_205265, _205273), c_member(_205265, _205275, _205273), -(c_Fun_Ocomp(_205267, _205267, _205267, hAPP(_205271, _205273), hAPP(_205269, _205275)) = hAPP(_205271, _205273))], (3518 ^ _66352) ^ [_205801, _205803, _205805, _205807, _205809, _205811] : [c_Finite__Set_Ofolding(_205801, _205803, _205805, _205807), c_Finite__Set_Ofinite(_205801, _205809), -(c_member(_205801, _205811, _205809)), -(hAPP(_205807, c_Set_Oinsert(_205801, _205811, _205809)) = c_Fun_Ocomp(_205803, _205803, _205803, hAPP(_205807, _205809), hAPP(_205805, _205811)))], (3532 ^ _66352) ^ [_206376, _206378, _206380, _206382, _206384, _206386, _206388, _206390] : [c_Finite__Set_Ofolding__image__simple(_206376, _206378, _206380, _206382, _206384, _206386), c_Finite__Set_Ofinite(_206378, _206388), -(c_member(_206378, _206390, _206388)), -(hAPP(_206386, c_Set_Oinsert(_206378, _206390, _206388)) = hAPP(hAPP(_206380, hAPP(_206384, _206390)), hAPP(_206386, _206388)))], (3546 ^ _66352) ^ [_207025, _207027, _207029, _207031, _207033, _207035, _207037, _207039, _207041, _207043, _207045] : [c_Finite__Set_Ofolding(_207025, _207027, _207029, _207031), -(c_Fun_Ocomp(_207033, _207035, _207037, _207039, c_Fun_Ocomp(_207041, _207033, _207037, _207043, _207045)) = c_Fun_Ocomp(_207041, _207035, _207037, c_Fun_Ocomp(_207033, _207035, _207041, _207039, _207043), _207045))], (3552 ^ _66352) ^ [_207397, _207399, _207401, _207403, _207405, _207407] : [c_Finite__Set_Ofolding(_207397, _207399, _207401, _207403), -(c_Fun_Ocomp(_207399, _207399, _207399, hAPP(_207401, _207405), hAPP(_207401, _207407)) = c_Fun_Ocomp(_207399, _207399, _207399, hAPP(_207401, _207407), hAPP(_207401, _207405)))], (3558 ^ _66352) ^ [_207767, _207769, _207771, _207773, _207775, _207777, _207779, _207781] : [c_Finite__Set_Ofolding(_207767, _207769, _207771, _207773), -(c_Fun_Ocomp(_207769, _207769, _207775, hAPP(_207771, _207777), c_Fun_Ocomp(_207769, _207769, _207775, hAPP(_207771, _207779), _207781)) = c_Fun_Ocomp(_207769, _207769, _207775, hAPP(_207771, _207779), c_Fun_Ocomp(_207769, _207769, _207775, hAPP(_207771, _207777), _207781)))], (3564 ^ _66352) ^ [_208131, _208133, _208135, _208137, _208139] : [c_Finite__Set_Ofolding__idem(_208131, _208133, _208135, _208137), -(c_Fun_Ocomp(_208133, _208133, _208133, hAPP(_208135, _208139), hAPP(_208135, _208139)) = hAPP(_208135, _208139))], (3570 ^ _66352) ^ [_208463, _208465, _208467, _208469, _208471, _208473, _208475] : [c_Finite__Set_Ofolding__idem(_208463, _208465, _208467, _208469), -(c_Fun_Ocomp(_208465, _208465, _208471, hAPP(_208467, _208473), c_Fun_Ocomp(_208465, _208465, _208471, hAPP(_208467, _208473), _208475)) = c_Fun_Ocomp(_208465, _208465, _208471, hAPP(_208467, _208473), _208475))], (3576 ^ _66352) ^ [_208845, _208847, _208849, _208851, _208853, _208855, _208857, _208859] : [c_Finite__Set_Ofolding(_208845, _208847, _208849, _208851), c_Finite__Set_Ofinite(_208845, _208853), c_Finite__Set_Ofinite(_208845, _208855), -(c_Fun_Ocomp(_208847, _208847, _208857, hAPP(_208851, _208855), c_Fun_Ocomp(_208847, _208847, _208857, hAPP(_208851, _208853), _208859)) = c_Fun_Ocomp(_208847, _208847, _208857, hAPP(_208851, _208853), c_Fun_Ocomp(_208847, _208847, _208857, hAPP(_208851, _208855), _208859)))], (3590 ^ _66352) ^ [_209449, _209451, _209453, _209455, _209457, _209459] : [c_Finite__Set_Ofolding(_209449, _209451, _209453, _209455), c_Finite__Set_Ofinite(_209449, _209457), c_Finite__Set_Ofinite(_209449, _209459), -(c_Fun_Ocomp(_209451, _209451, _209451, hAPP(_209455, _209459), hAPP(_209455, _209457)) = c_Fun_Ocomp(_209451, _209451, _209451, hAPP(_209455, _209457), hAPP(_209455, _209459)))], (3604 ^ _66352) ^ [_210029, _210031, _210033, _210035, _210037, _210039, _210041, _210043] : [c_Finite__Set_Ofolding(_210029, _210031, _210033, _210035), c_Finite__Set_Ofinite(_210029, _210037), -(c_Fun_Ocomp(_210031, _210031, _210039, hAPP(_210033, _210041), c_Fun_Ocomp(_210031, _210031, _210039, hAPP(_210035, _210037), _210043)) = c_Fun_Ocomp(_210031, _210031, _210039, hAPP(_210035, _210037), c_Fun_Ocomp(_210031, _210031, _210039, hAPP(_210033, _210041), _210043)))], (3614 ^ _66352) ^ [_210520, _210522, _210524, _210526, _210528, _210530] : [c_Finite__Set_Ofolding(_210520, _210522, _210524, _210526), c_Finite__Set_Ofinite(_210520, _210528), -(c_Fun_Ocomp(_210522, _210522, _210522, hAPP(_210524, _210530), hAPP(_210526, _210528)) = c_Fun_Ocomp(_210522, _210522, _210522, hAPP(_210526, _210528), hAPP(_210524, _210530)))], (3624 ^ _66352) ^ [_210939, _210941, _210943, _210945] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _210939, _210941), -(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _210939, _210943), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _210941, _210945)), c_FunDef_Opair__leq))], (3630 ^ _66352) ^ [_211279, _211281, _211283, _211285, _211287, _211289, _211291, _211293] : [c_Finite__Set_Ofolding__image__simple__idem(_211279, _211281, _211283, _211285, _211287, _211289), c_Finite__Set_Ofinite(_211281, _211291), -(hAPP(_211289, c_Set_Oinsert(_211281, _211293, _211291)) = hAPP(hAPP(_211283, hAPP(_211287, _211293)), hAPP(_211289, _211291)))], (3640 ^ _66352) ^ [_211768, _211770, _211772, _211774, _211776, _211778, _211780, _211782] : [c_Finite__Set_Ofolding__image__simple__idem(_211768, _211770, _211772, _211774, _211776, _211778), c_Finite__Set_Ofinite(_211770, _211780), c_member(_211770, _211782, _211780), -(hAPP(hAPP(_211772, hAPP(_211776, _211782)), hAPP(_211778, _211780)) = hAPP(_211778, _211780))], (3654 ^ _66352) ^ [_212308, _212310, _212312, _212314] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _212308, _212310), -(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _212308, _212312), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _212310, _212314)), c_FunDef_Opair__less))], (3660 ^ _66352) ^ [] : [-(c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (3662 ^ _66352) ^ [_212687, _212689, _212691, _212693, _212695, _212697, _212699] : [c_Finite__Set_Ofolding__image__simple__idem(_212687, _212689, _212691, _212693, _212695, _212697), -(hAPP(hAPP(_212691, _212699), _212699) = _212699)], (3668 ^ _66352) ^ [] : [-(c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than))], (3670 ^ _66352) ^ [_213028, _213030, _213032, _213034] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213028, _213030), c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213032, _213028), c_FunDef_Opair__leq), c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _213034, _213030), c_FunDef_Omax__weak), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213032, _213034), _213030), c_FunDef_Omax__weak))], (3684 ^ _66352) ^ [_213518, _213520, _213522, _213524] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213518, _213520), c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213518, _213522), c_FunDef_Opair__leq), c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _213520, _213524), c_FunDef_Omin__weak), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _213520, c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _213522, _213524)), c_FunDef_Omin__weak))], (3698 ^ _66352) ^ [_214008, _214010, _214012, _214014] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214008, _214010), c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214012, _214008), c_FunDef_Opair__less), c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _214014, _214010), c_FunDef_Omax__strict), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214012, _214014), _214010), c_FunDef_Omax__strict))], (3712 ^ _66352) ^ [_214498, _214500, _214502, _214504] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214498, _214500), c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214498, _214502), c_FunDef_Opair__less), c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _214500, _214504), c_FunDef_Omin__strict), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _214500, c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _214502, _214504)), c_FunDef_Omin__strict))], (3726 ^ _66352) ^ [] : [-(c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (3728 ^ _66352) ^ [] : [-(c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (3730 ^ _66352) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), c_FunDef_Omin__strict, c_FunDef_Omin__weak)))], (3732 ^ _66352) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), c_FunDef_Omax__strict, c_FunDef_Omax__weak)))], (3734 ^ _66352) ^ [_215200, _215202, _215204, _215206] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _215200, _215202), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _215204, _215206), -(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _215200, _215204), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _215202, _215206)), c_FunDef_Opair__less))], (3744 ^ _66352) ^ [_215583, _215585, _215587, _215589] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _215583, _215585), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _215587, _215589), -(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _215583, _215587), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _215585, _215589)), c_FunDef_Opair__leq))], (3754 ^ _66352) ^ [_215938, _215940] : [3755 ^ _66352 : [(3756 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _215938, _215940)], (3758 ^ _66352) ^ [] : [_215938 = _215940]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _215938, _215940))], (3762 ^ _66352) ^ [_216226, _216228] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _216226, _216228), -(_216226 = _216228), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _216226, _216228))], (3772 ^ _66352) ^ [_216532, _216534] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _216532, _216534), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _216532, _216534))], (3788 ^ _66352) ^ [_217031, _217033] : [3789 ^ _66352 : [(3790 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _217031, _217033)], (3792 ^ _66352) ^ [] : [_217031 = _217033]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217031, _217033))], (3778 ^ _66352) ^ [_216775, _216777] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _216775, _216777), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _216775, _216777)), -(_216775 = _216777)], (3796 ^ _66352) ^ [_217350, _217352] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _217350, _217352), 3799 ^ _66352 : [(3800 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217350, _217352))], (3802 ^ _66352) ^ [] : [_217350 = _217352]]], (3804 ^ _66352) ^ [_217592, _217594] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _217592, _217594)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217592, _217594), -(_217592 = _217594)], (3814 ^ _66352) ^ [_217871] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217871, _217871))], (3816 ^ _66352) ^ [_217979, _217981] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217979, _217981)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _217981, _217979))], (3822 ^ _66352) ^ [_218194, _218196] : [_218194 = _218196, -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218194, _218196))], (3828 ^ _66352) ^ [_218420, _218422, _218424] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218420, _218422), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218422, _218424), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218420, _218424))], (3838 ^ _66352) ^ [_218735, _218737] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218735, _218737), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _218737, _218735), -(_218735 = _218737)], (3848 ^ _66352) ^ [_219038, _219040] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _219038, _219040), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _219038, _219040))], (3854 ^ _66352) ^ [_219294, _219296, _219298, _219300, _219302] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_219294, _219296), hAPP(_219294, _219298)), c_member(tc_prod(_219300, _219300), c_Product__Type_OPair(_219300, _219300, _219296, _219298), _219302), -(c_member(tc_prod(_219300, _219300), c_Product__Type_OPair(_219300, _219300, _219296, _219298), c_Wellfounded_Omlex__prod(_219300, _219294, _219302)))], (3864 ^ _66352) ^ [_219710, _219712] : [c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _219710, _219712), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _219710, _219712))], (3870 ^ _66352) ^ [_219886, _219888] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _219886, _219888), -(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat, _219886, _219888), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)))], (3876 ^ _66352) ^ [_220112, _220114] : [class_Orderings_Opreorder(_220112), -(c_Orderings_Oord__class_Oless__eq(_220112, _220114, _220114))], (3882 ^ _66352) ^ [_220336, _220338, _220340] : [class_Orderings_Olinorder(_220336), 3885 ^ _66352 : [(3886 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_220336, _220338, _220340)), -(c_Orderings_Oord__class_Oless__eq(_220336, _220340, _220338))], (3892 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_220336, _220340, _220338), c_Orderings_Oord__class_Oless(_220336, _220338, _220340)]]], (3898 ^ _66352) ^ [_220832, _220834, _220836] : [class_Orderings_Olinorder(_220832), 3901 ^ _66352 : [(3902 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_220832, _220834, _220836)), -(c_Orderings_Oord__class_Oless(_220832, _220836, _220834))], (3908 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_220832, _220836, _220834), c_Orderings_Oord__class_Oless__eq(_220832, _220834, _220836)]]], (3914 ^ _66352) ^ [_221328, _221330, _221332] : [class_Orderings_Olinorder(_221328), -(c_Orderings_Oord__class_Oless__eq(_221328, _221330, _221332)), -(c_Orderings_Oord__class_Oless(_221328, _221332, _221330))], (3924 ^ _66352) ^ [_221668, _221670, _221672, _221674] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_221668, tc_HOL_Obool), _221670, _221672), c_member(_221668, _221674, _221670), -(c_member(_221668, _221674, _221672))], (3934 ^ _66352) ^ [_222027, _222029, _222031, _222033] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_222027, tc_HOL_Obool), _222029, _222031), c_member(_222027, _222033, _222029), -(c_member(_222027, _222033, _222031))], (3944 ^ _66352) ^ [_222386, _222388, _222390, _222392] : [c_member(_222386, _222388, _222390), c_Orderings_Oord__class_Oless__eq(tc_fun(_222386, tc_HOL_Obool), _222390, _222392), -(c_member(_222386, _222388, _222392))], (3954 ^ _66352) ^ [_222745, _222747, _222749, _222751] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_222745, tc_HOL_Obool), _222747, _222749), c_member(_222745, _222751, _222747), -(c_member(_222745, _222751, _222749))], (3964 ^ _66352) ^ [_223090, _223092, _223094] : [c_Wellfounded_Owf(_223090, _223092), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_223090, _223090), tc_HOL_Obool), _223094, _223092), -(c_Wellfounded_Owf(_223090, _223094))], (3974 ^ _66352) ^ [_223412, _223414, _223416] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_223412, tc_HOL_Obool), _223414, c_Set_Oinsert(_223412, _223416, _223414)))], (3976 ^ _66352) ^ [_223559, _223561, _223563, _223565] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_223559, tc_HOL_Obool), _223561, _223563), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_223559, tc_HOL_Obool), _223561, c_Set_Oinsert(_223559, _223565, _223563)))], (3982 ^ _66352) ^ [_223833, _223835, _223837, _223839] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_223833, tc_HOL_Obool), _223835, _223837), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_223833, tc_HOL_Obool), c_Set_Oinsert(_223833, _223839, _223835), c_Set_Oinsert(_223833, _223839, _223837)))], (3988 ^ _66352) ^ [_224101, _224103, _224105] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_224101, _224101), tc_HOL_Obool), _224103, _224105), c_Relation_Oantisym(_224101, _224105), -(c_Relation_Oantisym(_224101, _224103))], (3998 ^ _66352) ^ [_224438, _224440, _224442] : [c_Wellfounded_Oacyclic(_224438, _224440), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_224438, _224438), tc_HOL_Obool), _224442, _224440), -(c_Wellfounded_Oacyclic(_224438, _224442))], (4008 ^ _66352) ^ [_224789, _224791, _224793, _224795] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_224789, _224791), tc_HOL_Obool), _224793, _224795), c_Relation_Osingle__valued(_224789, _224791, _224795), -(c_Relation_Osingle__valued(_224789, _224791, _224793))], (4018 ^ _66352) ^ [_225140, _225142, _225144] : [c_Wellfounded_OwfP(_225140, _225142), c_Orderings_Oord__class_Oless__eq(tc_fun(_225140, tc_fun(_225140, tc_HOL_Obool)), _225144, _225142), -(c_Wellfounded_OwfP(_225140, _225144))], (4028 ^ _66352) ^ [_225491, _225493, _225495, _225497] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_225491, _225493), tc_HOL_Obool), _225495, _225497), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_225491, tc_HOL_Obool), c_Relation_ODomain(_225491, _225493, _225495), c_Relation_ODomain(_225491, _225493, _225497)))], (4034 ^ _66352) ^ [_225765, _225767, _225769] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_225765, _225765), tc_HOL_Obool), _225767, _225769), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_225765, tc_HOL_Obool), c_Wellfounded_Oacc(_225765, _225769), c_Wellfounded_Oacc(_225765, _225767)))], (4040 ^ _66352) ^ [_226029, _226031, _226033] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226029, _226029), tc_HOL_Obool), _226031, _226033), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226029, _226029), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_226029, _226031), c_Transitive__Closure_Ortrancl(_226029, _226033)))], (4046 ^ _66352) ^ [_226299, _226301, _226303] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226299, _226299), tc_HOL_Obool), _226301, _226303), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226299, _226299), tc_HOL_Obool), _226303, c_Transitive__Closure_Ortrancl(_226299, _226301)), -(c_Transitive__Closure_Ortrancl(_226299, _226303) = c_Transitive__Closure_Ortrancl(_226299, _226301))], (4056 ^ _66352) ^ [_226668, _226670, _226672] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226668, _226668), tc_HOL_Obool), _226670, c_Transitive__Closure_Ortrancl(_226668, _226672)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_226668, _226668), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_226668, _226670), c_Transitive__Closure_Ortrancl(_226668, _226672)))], (4062 ^ _66352) ^ [_226944, _226946, _226948] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_226944, tc_HOL_Obool), _226946, _226948), c_Finite__Set_Ofinite(_226944, _226948), -(c_Finite__Set_Ofinite(_226944, _226946))], (4072 ^ _66352) ^ [_227275, _227277, _227279] : [c_Finite__Set_Ofinite(_227275, _227277), c_Orderings_Oord__class_Oless__eq(tc_fun(_227275, tc_HOL_Obool), _227279, _227277), -(c_Finite__Set_Ofinite(_227275, _227279))], (4082 ^ _66352) ^ [_227620, _227622, _227624, _227626] : [c_Orderings_Oord__class_Oless(tc_fun(_227620, tc_HOL_Obool), _227622, _227624), c_member(_227620, _227626, _227622), -(c_member(_227620, _227626, _227624))], (4092 ^ _66352) ^ [_228008, _228010, _228012, _228014] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_228008, tc_HOL_Obool), c_Set_Oinsert(_228008, _228010, _228012), _228014), 4095 ^ _66352 : [(4096 ^ _66352) ^ [] : [-(c_member(_228008, _228010, _228014))], (4098 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_228008, tc_HOL_Obool), _228012, _228014))]]], (4100 ^ _66352) ^ [_228287, _228289, _228291, _228293] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_228287, tc_HOL_Obool), c_Set_Oinsert(_228287, _228289, _228291), _228293)), c_member(_228287, _228289, _228293), c_Orderings_Oord__class_Oless__eq(tc_fun(_228287, tc_HOL_Obool), _228291, _228293)], (4110 ^ _66352) ^ [_228662, _228664, _228666, _228668] : [-(c_member(_228662, _228664, _228666)), 4113 ^ _66352 : [(4114 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_228662, tc_HOL_Obool), _228666, c_Set_Oinsert(_228662, _228664, _228668)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_228662, tc_HOL_Obool), _228666, _228668))], (4120 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_228662, tc_HOL_Obool), _228666, _228668), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_228662, tc_HOL_Obool), _228666, c_Set_Oinsert(_228662, _228664, _228668)))]]], (4126 ^ _66352) ^ [_229223, _229225, _229227, _229229] : [c_member(tc_prod(_229223, _229223), _229225, c_Transitive__Closure_Otrancl(_229223, _229227)), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_229223, _229223), tc_HOL_Obool), _229227, _229229), -(c_member(tc_prod(_229223, _229223), _229225, c_Transitive__Closure_Otrancl(_229223, _229229)))], (4136 ^ _66352) ^ [_229668, _229670, _229672, _229674, _229676, _229678, _229680, _229682] : [c_Finite__Set_Ofolding__image__simple__idem(_229668, _229670, _229672, _229674, _229676, _229678), c_Finite__Set_Ofinite(_229670, _229680), c_Orderings_Oord__class_Oless__eq(tc_fun(_229670, tc_HOL_Obool), _229682, _229680), -(hAPP(hAPP(_229672, hAPP(_229678, _229682)), hAPP(_229678, _229680)) = hAPP(_229678, _229680))], (4150 ^ _66352) ^ [_230214, _230216, _230218, _230220] : [class_Orderings_Oord(_230214), 4153 ^ _66352 : [(4154 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_230216, _230214), _230218, _230220), 4157 ^ _66352 : [(4158 ^ _66352) ^ [_230473] : [-(c_Orderings_Oord__class_Oless__eq(_230214, hAPP(_230218, _230473), hAPP(_230220, _230473)))]]], (4160 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_230214, hAPP(_230218, 4161 ^ [_230214, _230216, _230218, _230220]), hAPP(_230220, 4161 ^ [_230214, _230216, _230218, _230220])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_230216, _230214), _230218, _230220))]]], (4167 ^ _66352) ^ [_230855, _230857, _230859] : [class_Orderings_Olinorder(_230855), -(c_Orderings_Oord__class_Oless__eq(_230855, _230857, _230859)), -(c_Orderings_Oord__class_Oless__eq(_230855, _230859, _230857))], (4177 ^ _66352) ^ [_231181, _231183, _231185] : [class_Orderings_Oorder(_231181), 4180 ^ _66352 : [(4181 ^ _66352) ^ [] : [_231183 = _231185, 4184 ^ _66352 : [(4185 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_231181, _231183, _231185))], (4187 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_231181, _231185, _231183))]]], (4189 ^ _66352) ^ [] : [-(_231183 = _231185), c_Orderings_Oord__class_Oless__eq(_231181, _231183, _231185), c_Orderings_Oord__class_Oless__eq(_231181, _231185, _231183)]]], (4199 ^ _66352) ^ [_231839, _231841, _231843] : [class_Orderings_Opreorder(_231839), _231841 = _231843, -(c_Orderings_Oord__class_Oless__eq(_231839, _231841, _231843))], (4209 ^ _66352) ^ [_232190, _232192, _232194, _232196, _232198] : [class_Orderings_Oord(_232190), c_Orderings_Oord__class_Oless__eq(tc_fun(_232192, _232190), _232194, _232196), -(c_Orderings_Oord__class_Oless__eq(_232190, hAPP(_232194, _232198), hAPP(_232196, _232198)))], (4219 ^ _66352) ^ [_232553, _232555, _232557] : [class_Orderings_Oorder(_232553), c_Orderings_Oord__class_Oless__eq(_232553, _232555, _232557), 4226 ^ _66352 : [(4227 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_232553, _232557, _232555), -(_232557 = _232555)], (4233 ^ _66352) ^ [] : [_232557 = _232555, -(c_Orderings_Oord__class_Oless__eq(_232553, _232557, _232555))]]], (4239 ^ _66352) ^ [_233153, _233155, _233157, _233159] : [class_Orderings_Oord(_233153), _233155 = _233157, c_Orderings_Oord__class_Oless__eq(_233153, _233157, _233159), -(c_Orderings_Oord__class_Oless__eq(_233153, _233155, _233159))], (4253 ^ _66352) ^ [_233599, _233601, _233603, _233605] : [class_Orderings_Oorder(_233599), _233601 = _233603, c_Orderings_Oord__class_Oless__eq(_233599, _233605, _233603), -(c_Orderings_Oord__class_Oless__eq(_233599, _233605, _233601))], (4267 ^ _66352) ^ [_234045, _234047, _234049, _234051] : [class_Orderings_Oord(_234045), c_Orderings_Oord__class_Oless__eq(_234045, _234047, _234049), _234049 = _234051, -(c_Orderings_Oord__class_Oless__eq(_234045, _234047, _234051))], (4281 ^ _66352) ^ [_234491, _234493, _234495, _234497] : [class_Orderings_Oorder(_234491), c_Orderings_Oord__class_Oless__eq(_234491, _234493, _234495), _234493 = _234497, -(c_Orderings_Oord__class_Oless__eq(_234491, _234497, _234495))], (4295 ^ _66352) ^ [_234923, _234925, _234927] : [class_Orderings_Oorder(_234923), c_Orderings_Oord__class_Oless__eq(_234923, _234925, _234927), c_Orderings_Oord__class_Oless__eq(_234923, _234927, _234925), -(_234925 = _234927)], (4309 ^ _66352) ^ [_235355, _235357, _235359, _235361] : [class_Orderings_Opreorder(_235355), c_Orderings_Oord__class_Oless__eq(_235355, _235357, _235359), c_Orderings_Oord__class_Oless__eq(_235355, _235359, _235361), -(c_Orderings_Oord__class_Oless__eq(_235355, _235357, _235361))], (4323 ^ _66352) ^ [_235789, _235791, _235793] : [class_Orderings_Oorder(_235789), c_Orderings_Oord__class_Oless__eq(_235789, _235791, _235793), c_Orderings_Oord__class_Oless__eq(_235789, _235793, _235791), -(_235793 = _235791)], (4337 ^ _66352) ^ [_236221, _236223, _236225, _236227] : [class_Orderings_Oorder(_236221), c_Orderings_Oord__class_Oless__eq(_236221, _236223, _236225), c_Orderings_Oord__class_Oless__eq(_236221, _236227, _236223), -(c_Orderings_Oord__class_Oless__eq(_236221, _236227, _236225))], (4351 ^ _66352) ^ [_236683, _236685, _236687, _236689, _236691] : [class_Orderings_Oord(_236683), c_Orderings_Oord__class_Oless__eq(tc_fun(_236685, _236683), _236687, _236689), -(c_Orderings_Oord__class_Oless__eq(_236683, hAPP(_236687, _236691), hAPP(_236689, _236691)))], (4361 ^ _66352) ^ [_237046, _237048, _237050] : [class_Orderings_Olinorder(_237046), -(c_Orderings_Oord__class_Oless__eq(_237046, _237048, _237050)), -(c_Orderings_Oord__class_Oless__eq(_237046, _237050, _237048))], (4371 ^ _66352) ^ [_237360, _237362] : [class_Orderings_Opreorder(_237360), c_Orderings_Oord__class_Oless(_237360, _237362, _237362)], (4377 ^ _66352) ^ [_237585, _237587, _237589] : [class_Orderings_Olinorder(_237585), 4380 ^ _66352 : [(4391 ^ _66352) ^ [] : [4392 ^ _66352 : [(4393 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_237585, _237587, _237589)], (4395 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_237585, _237589, _237587)]], _237587 = _237589], (4381 ^ _66352) ^ [] : [-(_237587 = _237589), -(c_Orderings_Oord__class_Oless(_237585, _237587, _237589)), -(c_Orderings_Oord__class_Oless(_237585, _237589, _237587))]]], (4399 ^ _66352) ^ [_238245, _238247, _238249] : [class_Orderings_Olinorder(_238245), 4402 ^ _66352 : [(4413 ^ _66352) ^ [] : [4414 ^ _66352 : [(4415 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_238245, _238249, _238247)], (4417 ^ _66352) ^ [] : [_238247 = _238249]], c_Orderings_Oord__class_Oless(_238245, _238247, _238249)], (4403 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_238245, _238247, _238249)), -(c_Orderings_Oord__class_Oless(_238245, _238249, _238247)), -(_238247 = _238249)]]], (4421 ^ _66352) ^ [_238905, _238907, _238909] : [class_Orderings_Olinorder(_238905), -(c_Orderings_Oord__class_Oless(_238905, _238907, _238909)), -(_238907 = _238909), -(c_Orderings_Oord__class_Oless(_238905, _238909, _238907))], (4435 ^ _66352) ^ [_239325, _239327, _239329] : [class_Orderings_Olinorder(_239325), -(c_Orderings_Oord__class_Oless(_239325, _239327, _239329)), 4442 ^ _66352 : [(4443 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_239325, _239329, _239327)), -(_239329 = _239327)], (4449 ^ _66352) ^ [] : [_239329 = _239327, c_Orderings_Oord__class_Oless(_239325, _239329, _239327)]]], (4455 ^ _66352) ^ [_239916, _239918, _239920] : [class_Orderings_Olinorder(_239916), -(_239918 = _239920), -(c_Orderings_Oord__class_Oless(_239916, _239918, _239920)), -(c_Orderings_Oord__class_Oless(_239916, _239920, _239918))], (4469 ^ _66352) ^ [_240340, _240342, _240344] : [class_Orderings_Oorder(_240340), c_Orderings_Oord__class_Oless(_240340, _240342, _240344), _240342 = _240344], (4479 ^ _66352) ^ [_240664, _240666, _240668] : [class_Orderings_Opreorder(_240664), c_Orderings_Oord__class_Oless(_240664, _240666, _240668), c_Orderings_Oord__class_Oless(_240664, _240668, _240666)], (4489 ^ _66352) ^ [_240990, _240992, _240994] : [class_Orderings_Opreorder(_240990), c_Orderings_Oord__class_Oless(_240990, _240992, _240994), c_Orderings_Oord__class_Oless(_240990, _240994, _240992)], (4499 ^ _66352) ^ [_241316, _241318, _241320] : [class_Orderings_Oorder(_241316), c_Orderings_Oord__class_Oless(_241316, _241318, _241320), _241318 = _241320], (4509 ^ _66352) ^ [_241640, _241642, _241644] : [class_Orderings_Oorder(_241640), c_Orderings_Oord__class_Oless(_241640, _241642, _241644), _241644 = _241642], (4519 ^ _66352) ^ [_241964, _241966, _241968] : [class_Orderings_Opreorder(_241964), c_Orderings_Oord__class_Oless(_241964, _241966, _241968), c_Orderings_Oord__class_Oless(_241964, _241968, _241966)], (4529 ^ _66352) ^ [_242290, _242292, _242294] : [class_Orderings_Oorder(_242290), c_Orderings_Oord__class_Oless(_242290, _242292, _242294), c_Orderings_Oord__class_Oless(_242290, _242294, _242292)], (4539 ^ _66352) ^ [_242630, _242632, _242634, _242636] : [class_Orderings_Oord(_242630), _242632 = _242634, c_Orderings_Oord__class_Oless(_242630, _242634, _242636), -(c_Orderings_Oord__class_Oless(_242630, _242632, _242636))], (4553 ^ _66352) ^ [_243076, _243078, _243080, _243082] : [class_Orderings_Oorder(_243076), _243078 = _243080, c_Orderings_Oord__class_Oless(_243076, _243082, _243080), -(c_Orderings_Oord__class_Oless(_243076, _243082, _243078))], (4567 ^ _66352) ^ [_243522, _243524, _243526, _243528] : [class_Orderings_Oord(_243522), c_Orderings_Oord__class_Oless(_243522, _243524, _243526), _243526 = _243528, -(c_Orderings_Oord__class_Oless(_243522, _243524, _243528))], (4581 ^ _66352) ^ [_243968, _243970, _243972, _243974] : [class_Orderings_Oorder(_243968), c_Orderings_Oord__class_Oless(_243968, _243970, _243972), _243970 = _243974, -(c_Orderings_Oord__class_Oless(_243968, _243974, _243972))], (4595 ^ _66352) ^ [_244414, _244416, _244418, _244420] : [class_Orderings_Opreorder(_244414), c_Orderings_Oord__class_Oless(_244414, _244416, _244418), c_Orderings_Oord__class_Oless(_244414, _244418, _244420), -(c_Orderings_Oord__class_Oless(_244414, _244416, _244420))], (4609 ^ _66352) ^ [_244862, _244864, _244866, _244868] : [class_Orderings_Oorder(_244862), c_Orderings_Oord__class_Oless(_244862, _244864, _244866), c_Orderings_Oord__class_Oless(_244862, _244868, _244864), -(c_Orderings_Oord__class_Oless(_244862, _244868, _244866))], (4623 ^ _66352) ^ [_245296, _245298, _245300] : [class_Orderings_Opreorder(_245296), c_Orderings_Oord__class_Oless(_245296, _245298, _245300), c_Orderings_Oord__class_Oless(_245296, _245300, _245298)], (4633 ^ _66352) ^ [_245622, _245624, _245626] : [class_Orderings_Olinorder(_245622), -(c_Orderings_Oord__class_Oless(_245622, _245624, _245626)), -(_245624 = _245626), -(c_Orderings_Oord__class_Oless(_245622, _245626, _245624))], (4647 ^ _66352) ^ [_246088, _246090, _246092, _246094, _246096, _246098] : [c_Finite__Set_Ofolding__idem(_246088, _246090, _246092, _246094), c_Finite__Set_Ofinite(_246088, _246096), c_Orderings_Oord__class_Oless__eq(tc_fun(_246088, tc_HOL_Obool), _246098, _246096), -(c_Fun_Ocomp(_246090, _246090, _246090, hAPP(_246094, _246096), hAPP(_246094, _246098)) = hAPP(_246094, _246096))], (4661 ^ _66352) ^ [_246617, _246619, _246621] : [c_member(tc_prod(tc_fun(_246617, tc_HOL_Obool), tc_fun(_246617, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_246617, tc_HOL_Obool), tc_fun(_246617, tc_HOL_Obool), _246619, _246621), c_Wellfounded_Ofinite__psubset(_246617)), 4664 ^ _66352 : [(4665 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_fun(_246617, tc_HOL_Obool), _246619, _246621))], (4667 ^ _66352) ^ [] : [-(c_Finite__Set_Ofinite(_246617, _246621))]]], (4669 ^ _66352) ^ [_246916, _246918, _246920] : [-(c_member(tc_prod(tc_fun(_246916, tc_HOL_Obool), tc_fun(_246916, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_246916, tc_HOL_Obool), tc_fun(_246916, tc_HOL_Obool), _246918, _246920), c_Wellfounded_Ofinite__psubset(_246916))), c_Orderings_Oord__class_Oless(tc_fun(_246916, tc_HOL_Obool), _246918, _246920), c_Finite__Set_Ofinite(_246916, _246920)], (4679 ^ _66352) ^ [_247309, _247311, _247313, _247315] : [class_Orderings_Oorder(_247309), c_Orderings_Oord__class_Oless__eq(_247309, _247311, _247313), c_Orderings_Oord__class_Oless(_247309, _247315, _247311), -(c_Orderings_Oord__class_Oless(_247309, _247315, _247313))], (4693 ^ _66352) ^ [_247757, _247759, _247761, _247763] : [class_Orderings_Opreorder(_247757), c_Orderings_Oord__class_Oless__eq(_247757, _247759, _247761), c_Orderings_Oord__class_Oless(_247757, _247761, _247763), -(c_Orderings_Oord__class_Oless(_247757, _247759, _247763))], (4707 ^ _66352) ^ [_248205, _248207, _248209, _248211] : [class_Orderings_Oorder(_248205), c_Orderings_Oord__class_Oless(_248205, _248207, _248209), c_Orderings_Oord__class_Oless__eq(_248205, _248211, _248207), -(c_Orderings_Oord__class_Oless(_248205, _248211, _248209))], (4721 ^ _66352) ^ [_248653, _248655, _248657, _248659] : [class_Orderings_Opreorder(_248653), c_Orderings_Oord__class_Oless(_248653, _248655, _248657), c_Orderings_Oord__class_Oless__eq(_248653, _248657, _248659), -(c_Orderings_Oord__class_Oless(_248653, _248655, _248659))], (4735 ^ _66352) ^ [_249087, _249089, _249091] : [class_Orderings_Oorder(_249087), c_Orderings_Oord__class_Oless__eq(_249087, _249089, _249091), -(_249091 = _249089), -(c_Orderings_Oord__class_Oless(_249087, _249089, _249091))], (4749 ^ _66352) ^ [_249508, _249510, _249512] : [class_Orderings_Oorder(_249508), c_Orderings_Oord__class_Oless__eq(_249508, _249510, _249512), -(_249510 = _249512), -(c_Orderings_Oord__class_Oless(_249508, _249510, _249512))], (4763 ^ _66352) ^ [_249929, _249931, _249933] : [class_Orderings_Oorder(_249929), c_Orderings_Oord__class_Oless__eq(_249929, _249931, _249933), -(c_Orderings_Oord__class_Oless(_249929, _249931, _249933)), -(_249931 = _249933)], (4777 ^ _66352) ^ [_250348, _250350, _250352] : [class_Orderings_Olinorder(_250348), c_Orderings_Oord__class_Oless__eq(_250348, _250350, _250352), 4784 ^ _66352 : [(4785 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_250348, _250350, _250352)), -(_250350 = _250352)], (4791 ^ _66352) ^ [] : [_250350 = _250352, c_Orderings_Oord__class_Oless(_250348, _250350, _250352)]]], (4797 ^ _66352) ^ [_250936, _250938, _250940] : [class_Orderings_Opreorder(_250936), c_Orderings_Oord__class_Oless(_250936, _250938, _250940), -(c_Orderings_Oord__class_Oless__eq(_250936, _250938, _250940))], (4807 ^ _66352) ^ [_251261, _251263, _251265] : [class_Orderings_Olinorder(_251261), c_Orderings_Oord__class_Oless__eq(_251261, _251263, _251265), c_Orderings_Oord__class_Oless(_251261, _251265, _251263)], (4817 ^ _66352) ^ [_251587, _251589, _251591] : [class_Orderings_Oorder(_251587), -(_251589 = _251591), c_Orderings_Oord__class_Oless__eq(_251587, _251591, _251589), -(c_Orderings_Oord__class_Oless(_251587, _251591, _251589))], (4831 ^ _66352) ^ [_252008, _252010, _252012] : [class_Orderings_Oorder(_252008), -(_252010 = _252012), c_Orderings_Oord__class_Oless__eq(_252008, _252010, _252012), -(c_Orderings_Oord__class_Oless(_252008, _252010, _252012))], (4845 ^ _66352) ^ [_252429, _252431, _252433] : [class_Orderings_Olinorder(_252429), -(c_Orderings_Oord__class_Oless(_252429, _252431, _252433)), 4852 ^ _66352 : [(4853 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_252429, _252431, _252433), -(_252431 = _252433)], (4859 ^ _66352) ^ [] : [_252431 = _252433, -(c_Orderings_Oord__class_Oless__eq(_252429, _252431, _252433))]]], (4865 ^ _66352) ^ [_253018, _253020, _253022] : [class_Orderings_Olinorder(_253018), -(c_Orderings_Oord__class_Oless__eq(_253018, _253020, _253022)), -(c_Orderings_Oord__class_Oless(_253018, _253022, _253020))], (4875 ^ _66352) ^ [_253346, _253348, _253350] : [class_Orderings_Olinorder(_253346), -(c_Orderings_Oord__class_Oless(_253346, _253348, _253350)), -(c_Orderings_Oord__class_Oless__eq(_253346, _253350, _253348))], (4885 ^ _66352) ^ [_253674, _253676, _253678] : [class_Orderings_Oorder(_253674), 4888 ^ _66352 : [(4899 ^ _66352) ^ [] : [4900 ^ _66352 : [(4901 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_253674, _253676, _253678)], (4903 ^ _66352) ^ [] : [_253676 = _253678]], -(c_Orderings_Oord__class_Oless__eq(_253674, _253676, _253678))], (4889 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_253674, _253676, _253678), -(c_Orderings_Oord__class_Oless(_253674, _253676, _253678)), -(_253676 = _253678)]]], (4907 ^ _66352) ^ [_254332, _254334, _254336] : [class_Orderings_Opreorder(_254332), 4910 ^ _66352 : [(4911 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_254332, _254334, _254336), 4914 ^ _66352 : [(4915 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_254332, _254334, _254336))], (4917 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(_254332, _254336, _254334)]]], (4919 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_254332, _254334, _254336)), c_Orderings_Oord__class_Oless__eq(_254332, _254334, _254336), -(c_Orderings_Oord__class_Oless__eq(_254332, _254336, _254334))]]], (4929 ^ _66352) ^ [_254995, _254997, _254999] : [class_Orderings_Oorder(_254995), 4932 ^ _66352 : [(4933 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(_254995, _254997, _254999), 4936 ^ _66352 : [(4937 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_254995, _254997, _254999))], (4939 ^ _66352) ^ [] : [_254997 = _254999]]], (4941 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(_254995, _254997, _254999)), c_Orderings_Oord__class_Oless__eq(_254995, _254997, _254999), -(_254997 = _254999)]]], (4951 ^ _66352) ^ [_255669, _255671, _255673, _255675] : [c_FunDef_Oreduction__pair(_255669, _255671), -(c_FunDef_Oreduction__pair(_255673, c_FunDef_Orp__inv__image(_255669, _255673, _255671, _255675)))], (4957 ^ _66352) ^ [_255915, _255917, _255919] : [c_Wellfounded_Owf(_255915, _255917), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_255915, _255915), tc_HOL_Obool), c_Relation_Orel__comp(_255915, _255915, _255915, _255917, _255919), _255917), -(c_FunDef_Oreduction__pair(_255915, c_Product__Type_OPair(tc_fun(tc_prod(_255915, _255915), tc_HOL_Obool), tc_fun(tc_prod(_255915, _255915), tc_HOL_Obool), _255917, _255919)))], (4967 ^ _66352) ^ [_256255] : [-(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _256255, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_FunDef_Omin__weak))], (4969 ^ _66352) ^ [_256354] : [-(_256354 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), _256354, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_FunDef_Omin__strict))], (4975 ^ _66352) ^ [_256587, _256589, _256591] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_256587, tc_HOL_Obool), _256589, _256591), c_Orderings_Oord__class_Oless__eq(tc_fun(_256587, tc_HOL_Obool), _256591, _256589), -(_256589 = _256591)], (4985 ^ _66352) ^ [_256896, _256898] : [c_member(_256896, _256898, c_Orderings_Obot__class_Obot(tc_fun(_256896, tc_HOL_Obool)))], (4987 ^ _66352) ^ [_256982] : [-(c_Finite__Set_Ofinite(_256982, c_Orderings_Obot__class_Obot(tc_fun(_256982, tc_HOL_Obool))))], (4989 ^ _66352) ^ [_257079, _257081] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_257079, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_257079, tc_HOL_Obool)), _257081))], (4991 ^ _66352) ^ [_257168] : [-(c_Wellfounded_Owf(_257168, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_257168, _257168), tc_HOL_Obool))))], (4993 ^ _66352) ^ [_257367, _257369, _257371, _257373, _257375, _257377, _257379, _257381] : [c_member(tc_prod(_257367, _257369), c_Product__Type_OPair(_257367, _257369, _257371, _257373), _257375), c_member(tc_prod(_257369, _257377), c_Product__Type_OPair(_257369, _257377, _257373, _257379), _257381), -(c_member(tc_prod(_257367, _257377), c_Product__Type_OPair(_257367, _257377, _257371, _257379), c_Relation_Orel__comp(_257367, _257369, _257377, _257375, _257381)))], (5003 ^ _66352) ^ [_257806, _257808, _257810] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_257806, tc_HOL_Obool), _257808, c_Set_Oinsert(_257806, _257810, c_Orderings_Obot__class_Obot(tc_fun(_257806, tc_HOL_Obool)))), -(_257808 = c_Orderings_Obot__class_Obot(tc_fun(_257806, tc_HOL_Obool))), -(_257808 = c_Set_Oinsert(_257806, _257810, c_Orderings_Obot__class_Obot(tc_fun(_257806, tc_HOL_Obool))))], (5013 ^ _66352) ^ [_258155, _258157] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_258155, tc_HOL_Obool), _258157, _258157))], (5015 ^ _66352) ^ [_258297, _258299] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_258297, tc_HOL_Obool), _258299, c_Orderings_Obot__class_Obot(tc_fun(_258297, tc_HOL_Obool))), -(_258299 = c_Orderings_Obot__class_Obot(tc_fun(_258297, tc_HOL_Obool)))], (5021 ^ _66352) ^ [_258487, _258489] : [_258489 = c_Orderings_Obot__class_Obot(tc_fun(_258487, tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_258487, tc_HOL_Obool), _258489, c_Orderings_Obot__class_Obot(tc_fun(_258487, tc_HOL_Obool))))], (5027 ^ _66352) ^ [_258770, _258772, _258774] : [_258770 = _258772, 5030 ^ _66352 : [(5031 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_258774, tc_HOL_Obool), _258770, _258772))], (5033 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_258774, tc_HOL_Obool), _258772, _258770))]]], (5035 ^ _66352) ^ [_259031, _259033, _259035] : [-(_259031 = _259033), c_Orderings_Oord__class_Oless__eq(tc_fun(_259035, tc_HOL_Obool), _259031, _259033), c_Orderings_Oord__class_Oless__eq(tc_fun(_259035, tc_HOL_Obool), _259033, _259031)], (5045 ^ _66352) ^ [_259372, _259374, _259376] : [_259372 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_259374, _259374), tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_259374, _259374), tc_HOL_Obool), _259372, _259376))], (5051 ^ _66352) ^ [_259632, _259634, _259636] : [_259632 = _259634, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_259636, tc_HOL_Obool), _259632, _259634))], (5057 ^ _66352) ^ [_259870, _259872, _259874] : [_259870 = _259872, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_259874, tc_HOL_Obool), _259872, _259870))], (5063 ^ _66352) ^ [_260122, _260124, _260126, _260128] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_260122, tc_HOL_Obool), _260124, _260126), c_Orderings_Oord__class_Oless__eq(tc_fun(_260122, tc_HOL_Obool), _260126, _260128), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_260122, tc_HOL_Obool), _260124, _260128))], (5073 ^ _66352) ^ [_260535, _260537, _260539, _260541, _260543, _260545, _260547] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_260535, _260537), tc_HOL_Obool), _260539, _260541), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_260537, _260543), tc_HOL_Obool), _260545, _260547), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_260535, _260543), tc_HOL_Obool), c_Relation_Orel__comp(_260535, _260537, _260543, _260539, _260545), c_Relation_Orel__comp(_260535, _260537, _260543, _260541, _260547)))], (5083 ^ _66352) ^ [_260964, _260966, _260968] : [_260964 = _260966, 5086 ^ _66352 : [(5087 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_260968, tc_HOL_Obool), _260964, _260966))], (5089 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_260968, tc_HOL_Obool), _260966, _260964))]]], (5091 ^ _66352) ^ [_261277, _261279] : [class_Orderings_Obot(_261277), -(c_Orderings_Oord__class_Oless__eq(_261277, c_Orderings_Obot__class_Obot(_261277), _261279))], (5097 ^ _66352) ^ [_261519, _261521, _261523, _261525] : [class_Orderings_Oord(_261519), 5100 ^ _66352 : [(5101 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_261521, _261519), _261523, _261525), 5104 ^ _66352 : [(5105 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_261521, _261519), _261523, _261525))], (5107 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_261521, _261519), _261525, _261523)]]], (5109 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_fun(_261521, _261519), _261523, _261525)), c_Orderings_Oord__class_Oless__eq(tc_fun(_261521, _261519), _261523, _261525), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_261521, _261519), _261525, _261523))]]], (5119 ^ _66352) ^ [_262245, _262247, _262249, _262251] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_262245, tc_HOL_Obool), _262247, _262249), c_Orderings_Oord__class_Oless(tc_fun(_262245, tc_HOL_Obool), _262249, _262251), -(c_Orderings_Oord__class_Oless(tc_fun(_262245, tc_HOL_Obool), _262247, _262251))], (5129 ^ _66352) ^ [_262616, _262618, _262620, _262622] : [c_Orderings_Oord__class_Oless(tc_fun(_262616, tc_HOL_Obool), _262618, _262620), c_Orderings_Oord__class_Oless__eq(tc_fun(_262616, tc_HOL_Obool), _262620, _262622), -(c_Orderings_Oord__class_Oless(tc_fun(_262616, tc_HOL_Obool), _262618, _262622))], (5139 ^ _66352) ^ [_262973, _262975, _262977] : [c_Orderings_Oord__class_Oless(tc_fun(_262973, tc_HOL_Obool), _262975, _262977), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_262973, tc_HOL_Obool), _262975, _262977))], (5155 ^ _66352) ^ [_263526, _263528, _263530] : [5156 ^ _66352 : [(5157 ^ _66352) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_263526, tc_HOL_Obool), _263528, _263530)], (5159 ^ _66352) ^ [] : [_263528 = _263530]], -(c_Orderings_Oord__class_Oless__eq(tc_fun(_263526, tc_HOL_Obool), _263528, _263530))], (5145 ^ _66352) ^ [_263248, _263250, _263252] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_263248, tc_HOL_Obool), _263250, _263252), -(c_Orderings_Oord__class_Oless(tc_fun(_263248, tc_HOL_Obool), _263250, _263252)), -(_263250 = _263252)], (5163 ^ _66352) ^ [_263879, _263881, _263883] : [c_Orderings_Oord__class_Oless(tc_fun(_263879, tc_HOL_Obool), _263881, _263883), 5166 ^ _66352 : [(5167 ^ _66352) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_263879, tc_HOL_Obool), _263881, _263883))], (5169 ^ _66352) ^ [] : [_263881 = _263883]]], (5171 ^ _66352) ^ [_264141, _264143, _264145] : [-(c_Orderings_Oord__class_Oless(tc_fun(_264141, tc_HOL_Obool), _264143, _264145)), c_Orderings_Oord__class_Oless__eq(tc_fun(_264141, tc_HOL_Obool), _264143, _264145), -(_264143 = _264145)], (5181 ^ _66352) ^ [_264456, _264458] : [-(c_Relation_Orel__comp(_264456, _264456, _264456, c_Transitive__Closure_Ortrancl(_264456, _264458), c_Transitive__Closure_Ortrancl(_264456, _264458)) = c_Transitive__Closure_Ortrancl(_264456, _264458))], (5183 ^ _66352) ^ [_264565, _264567] : [-(c_Relation_Orel__comp(_264565, _264565, _264565, _264567, c_Transitive__Closure_Ortrancl(_264565, _264567)) = c_Relation_Orel__comp(_264565, _264565, _264565, c_Transitive__Closure_Ortrancl(_264565, _264567), _264567))], (5185 ^ _66352) ^ [_264676, _264678] : [c_Orderings_Oord__class_Oless(tc_fun(_264676, tc_HOL_Obool), _264678, c_Orderings_Obot__class_Obot(tc_fun(_264676, tc_HOL_Obool)))], (5187 ^ _66352) ^ [_264822, _264824, _264826, _264828] : [c_Orderings_Oord__class_Oless(tc_fun(_264822, tc_HOL_Obool), _264824, _264826), c_Orderings_Oord__class_Oless(tc_fun(_264822, tc_HOL_Obool), _264826, _264828), -(c_Orderings_Oord__class_Oless(tc_fun(_264822, tc_HOL_Obool), _264824, _264828))], (5197 ^ _66352) ^ [_265179, _265181, _265183] : [class_Orderings_Obot(_265179), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_265181, _265179)), _265183) = c_Orderings_Obot__class_Obot(_265179))], (5203 ^ _66352) ^ [_265398, _265400] : [-(c_Relation_Ototal__on(_265398, c_Orderings_Obot__class_Obot(tc_fun(_265398, tc_HOL_Obool)), _265400))], (5205 ^ _66352) ^ [_265542, _265544] : [-(c_member(_265542, 5206 ^ [_265542, _265544], _265544)), -(_265544 = c_Orderings_Obot__class_Obot(tc_fun(_265542, tc_HOL_Obool)))], (5212 ^ _66352) ^ [_265779, _265781] : [_265781 = c_Orderings_Obot__class_Obot(tc_fun(_265779, tc_HOL_Obool)), 5215 ^ _66352 : [(5216 ^ _66352) ^ [_265907] : [c_member(_265779, _265907, _265781)]]], (5218 ^ _66352) ^ [_266055, _266057] : [5219 ^ _66352 : [(5220 ^ _66352) ^ [_266133] : [c_member(_266055, _266133, _266057)]], _266057 = c_Orderings_Obot__class_Obot(tc_fun(_266055, tc_HOL_Obool))], (5224 ^ _66352) ^ [_266252, _266254] : [-(_266254 = c_Orderings_Obot__class_Obot(tc_fun(_266252, tc_HOL_Obool))), -(c_member(_266252, 5227 ^ [_266252, _266254], _266254))], (5231 ^ _66352) ^ [_266521, _266523] : [c_member(_266521, _266523, c_Orderings_Obot__class_Obot(tc_fun(_266521, tc_HOL_Obool)))], (5233 ^ _66352) ^ [_266650, _266652, _266654] : [_266650 = c_Orderings_Obot__class_Obot(tc_fun(_266652, tc_HOL_Obool)), c_member(_266652, _266654, _266650)], (5239 ^ _66352) ^ [_266908, _266910] : [c_Wellfounded_Owf(_266908, _266910), -(c_Wellfounded_Owf(_266908, c_Relation_Orel__comp(_266908, _266908, _266908, _266910, _266910)))], (5245 ^ _66352) ^ [_267082, _267084] : [c_Wellfounded_Owf(_267082, c_Relation_Orel__comp(_267082, _267082, _267082, _267084, _267084)), -(c_Wellfounded_Owf(_267082, _267084))], (5251 ^ _66352) ^ [_267304, _267306, _267308] : [c_Orderings_Obot__class_Obot(tc_fun(_267304, tc_HOL_Obool)) = c_Set_Oinsert(_267304, _267306, _267308)], (5253 ^ _66352) ^ [_267422, _267424, _267426] : [c_Set_Oinsert(_267422, _267424, _267426) = c_Orderings_Obot__class_Obot(tc_fun(_267422, tc_HOL_Obool))], (5255 ^ _66352) ^ [_267613, _267615, _267617, _267619, _267621] : [c_Set_Oinsert(_267613, _267615, c_Set_Oinsert(_267613, _267617, c_Orderings_Obot__class_Obot(tc_fun(_267613, tc_HOL_Obool)))) = c_Set_Oinsert(_267613, _267619, c_Set_Oinsert(_267613, _267621, c_Orderings_Obot__class_Obot(tc_fun(_267613, tc_HOL_Obool)))), 5260 ^ _66352 : [(5261 ^ _66352) ^ [] : [-(_267615 = _267619)], (5263 ^ _66352) ^ [] : [-(_267617 = _267621)]], 5264 ^ _66352 : [(5265 ^ _66352) ^ [] : [-(_267615 = _267621)], (5267 ^ _66352) ^ [] : [-(_267617 = _267619)]]], (5269 ^ _66352) ^ [_268109, _268111, _268113, _268115, _268117] : [-(c_Set_Oinsert(_268109, _268111, c_Set_Oinsert(_268109, _268113, c_Orderings_Obot__class_Obot(tc_fun(_268109, tc_HOL_Obool)))) = c_Set_Oinsert(_268109, _268115, c_Set_Oinsert(_268109, _268117, c_Orderings_Obot__class_Obot(tc_fun(_268109, tc_HOL_Obool))))), 5270 ^ _66352 : [(5271 ^ _66352) ^ [] : [_268111 = _268115, _268113 = _268117], (5277 ^ _66352) ^ [] : [_268111 = _268117, _268113 = _268115]]], (5285 ^ _66352) ^ [_268687, _268689, _268691] : [c_Set_Oinsert(_268687, _268689, c_Orderings_Obot__class_Obot(tc_fun(_268687, tc_HOL_Obool))) = c_Set_Oinsert(_268687, _268691, c_Orderings_Obot__class_Obot(tc_fun(_268687, tc_HOL_Obool))), -(_268689 = _268691)], (5291 ^ _66352) ^ [_268939, _268941] : [c_Relation_Orel__comp(_268939, _268939, _268939, _268941, _268941) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_268939, _268939), tc_HOL_Obool)), -(c_Wellfounded_Owf(_268939, _268941))], (5297 ^ _66352) ^ [_269219, _269221, _269223, _269225, _269227] : [c_Relation_Osingle__valued(_269219, _269221, _269223), c_Relation_Osingle__valued(_269221, _269225, _269227), -(c_Relation_Osingle__valued(_269219, _269225, c_Relation_Orel__comp(_269219, _269221, _269225, _269223, _269227)))], (5307 ^ _66352) ^ [_269565, _269567, _269569] : [-(c_Relation_Orel__comp(_269565, _269567, _269567, _269569, c_Relation_OId(_269567)) = _269569)], (5309 ^ _66352) ^ [_269683, _269685, _269687] : [-(c_Relation_Orel__comp(_269683, _269683, _269685, c_Relation_OId(_269683), _269687) = _269687)], (5311 ^ _66352) ^ [_269773] : [-(c_Relation_OId__on(_269773, c_Orderings_Obot__class_Obot(tc_fun(_269773, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_269773, _269773), tc_HOL_Obool)))], (5313 ^ _66352) ^ [_269909, _269911, _269913, _269915] : [-(c_Relation_Orel__comp(_269909, _269911, _269913, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_269909, _269911), tc_HOL_Obool)), _269915) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_269909, _269913), tc_HOL_Obool)))], (5315 ^ _66352) ^ [_270057, _270059, _270061, _270063] : [-(c_Relation_Orel__comp(_270057, _270059, _270061, _270063, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270059, _270061), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270057, _270061), tc_HOL_Obool)))], (5317 ^ _66352) ^ [_270247, _270249, _270251, _270253, _270255, _270257, _270259] : [-(c_Relation_Orel__comp(_270247, _270249, _270251, c_Relation_Orel__comp(_270247, _270253, _270249, _270255, _270257), _270259) = c_Relation_Orel__comp(_270247, _270253, _270251, _270255, c_Relation_Orel__comp(_270253, _270249, _270251, _270257, _270259)))], (5319 ^ _66352) ^ [_270361] : [-(c_Relation_Orefl__on(_270361, c_Orderings_Obot__class_Obot(tc_fun(_270361, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270361, _270361), tc_HOL_Obool))))], (5321 ^ _66352) ^ [_270525, _270527, _270529] : [c_Relation_ORange(_270525, _270527, _270529) = c_Orderings_Obot__class_Obot(tc_fun(_270527, tc_HOL_Obool)), -(_270529 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270525, _270527), tc_HOL_Obool)))], (5327 ^ _66352) ^ [_270727, _270729, _270731] : [_270731 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270727, _270729), tc_HOL_Obool)), -(c_Relation_ORange(_270727, _270729, _270731) = c_Orderings_Obot__class_Obot(tc_fun(_270729, tc_HOL_Obool)))], (5333 ^ _66352) ^ [_270964, _270966] : [-(c_Relation_ORange(_270964, _270966, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_270964, _270966), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_270966, tc_HOL_Obool)))], (5335 ^ _66352) ^ [_271133, _271135, _271137] : [c_Relation_ODomain(_271133, _271135, _271137) = c_Orderings_Obot__class_Obot(tc_fun(_271133, tc_HOL_Obool)), -(_271137 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_271133, _271135), tc_HOL_Obool)))], (5341 ^ _66352) ^ [_271335, _271337, _271339] : [_271339 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_271335, _271337), tc_HOL_Obool)), -(c_Relation_ODomain(_271335, _271337, _271339) = c_Orderings_Obot__class_Obot(tc_fun(_271335, tc_HOL_Obool)))], (5347 ^ _66352) ^ [_271572, _271574] : [-(c_Relation_ODomain(_271572, _271574, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_271572, _271574), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_271572, tc_HOL_Obool)))], (5349 ^ _66352) ^ [_271669] : [-(c_Transitive__Closure_Otrancl(_271669, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_271669, _271669), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_271669, _271669), tc_HOL_Obool)))], (5351 ^ _66352) ^ [_271822, _271824, _271826, _271828, _271830] : [-(hAPP(c_Relation_Oconverse(_271822, _271824), c_Relation_Orel__comp(_271822, _271826, _271824, _271828, _271830)) = c_Relation_Orel__comp(_271824, _271826, _271822, hAPP(c_Relation_Oconverse(_271826, _271824), _271830), hAPP(c_Relation_Oconverse(_271822, _271826), _271828)))], (5353 ^ _66352) ^ [_271938] : [-(c_Finite__Set_Ofinite(_271938, c_Orderings_Obot__class_Obot(tc_fun(_271938, tc_HOL_Obool))))], (5355 ^ _66352) ^ [_272021] : [-(c_Relation_Oantisym(_272021, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_272021, _272021), tc_HOL_Obool))))], (5357 ^ _66352) ^ [_272192, _272194, _272196, _272198, _272200, _272202] : [c_Finite__Set_Ofolding__image__simple(_272192, _272194, _272196, _272198, _272200, _272202), -(hAPP(_272202, c_Orderings_Obot__class_Obot(tc_fun(_272194, tc_HOL_Obool))) = _272198)], (5363 ^ _66352) ^ [_272464, _272466, _272468] : [c_member(_272464, _272466, c_Set_Oinsert(_272464, _272468, c_Orderings_Obot__class_Obot(tc_fun(_272464, tc_HOL_Obool)))), -(_272466 = _272468)], (5369 ^ _66352) ^ [_272743, _272745, _272747] : [c_member(_272743, _272745, c_Set_Oinsert(_272743, _272747, c_Orderings_Obot__class_Obot(tc_fun(_272743, tc_HOL_Obool)))), -(_272745 = _272747)], (5375 ^ _66352) ^ [_272931, _272933, _272935] : [_272933 = _272935, -(c_member(_272931, _272933, c_Set_Oinsert(_272931, _272935, c_Orderings_Obot__class_Obot(tc_fun(_272931, tc_HOL_Obool)))))], (5381 ^ _66352) ^ [_273154, _273156] : [-(c_Transitive__Closure_Otrancl(_273154, _273156) = c_Relation_Orel__comp(_273154, _273154, _273154, _273156, c_Transitive__Closure_Ortrancl(_273154, _273156)))], (5383 ^ _66352) ^ [_273260, _273262] : [-(c_Transitive__Closure_Otrancl(_273260, _273262) = c_Relation_Orel__comp(_273260, _273260, _273260, c_Transitive__Closure_Ortrancl(_273260, _273262), _273262))], (5385 ^ _66352) ^ [_273352] : [-(c_Transitive__Closure_Ortrancl(_273352, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_273352, _273352), tc_HOL_Obool))) = c_Relation_OId(_273352))], (5387 ^ _66352) ^ [_273458] : [c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _273458), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _273458), c_FunDef_Omax__weak))], (5393 ^ _66352) ^ [_273660] : [c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _273660), -(_273660 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), -(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _273660), c_FunDef_Omax__strict))], (5403 ^ _66352) ^ [_273978, _273980, _273982] : [c_Relation_Orefl__on(_273978, _273980, _273982), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_273978, _273978), tc_HOL_Obool), _273982, c_Relation_Orel__comp(_273978, _273978, _273978, hAPP(c_Relation_Oconverse(_273978, _273978), _273982), _273982)))], (5409 ^ _66352) ^ [_274219, _274221] : [-(c_Set_Othe__elem(_274219, c_Set_Oinsert(_274219, _274221, c_Orderings_Obot__class_Obot(tc_fun(_274219, tc_HOL_Obool)))) = _274221)], (5411 ^ _66352) ^ [] : [-(c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq), c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)))))], (5413 ^ _66352) ^ [] : [-(c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq), c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)))))], (5415 ^ _66352) ^ [_274474, _274476, _274478, _274480] : [c_member(_274474, _274476, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_274474, tc_HOL_Obool), _274478, _274480)), -(c_member(_274474, _274476, _274478)), -(c_member(_274474, _274476, _274480))], (5425 ^ _66352) ^ [_274844, _274846, _274848, _274850] : [5426 ^ _66352 : [(5427 ^ _66352) ^ [] : [c_member(_274844, _274846, _274848)], (5429 ^ _66352) ^ [] : [c_member(_274844, _274846, _274850)]], -(c_member(_274844, _274846, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_274844, tc_HOL_Obool), _274850, _274848)))], (5433 ^ _66352) ^ [_275165, _275167, _275169] : [-(c_Set_Oinsert(_275165, _275167, _275169) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_275165, tc_HOL_Obool), c_Set_Oinsert(_275165, _275167, c_Orderings_Obot__class_Obot(tc_fun(_275165, tc_HOL_Obool))), _275169))], (5435 ^ _66352) ^ [_275281, _275283] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_275281, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_275281, tc_HOL_Obool)), _275283) = _275283)], (5437 ^ _66352) ^ [_275387, _275389] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_275387, tc_HOL_Obool), _275389, c_Orderings_Obot__class_Obot(tc_fun(_275387, tc_HOL_Obool))) = _275389)], (5439 ^ _66352) ^ [_275551, _275553, _275555] : [c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_275551, tc_HOL_Obool), _275553, _275555) = c_Orderings_Obot__class_Obot(tc_fun(_275551, tc_HOL_Obool)), 5442 ^ _66352 : [(5443 ^ _66352) ^ [] : [-(_275553 = c_Orderings_Obot__class_Obot(tc_fun(_275551, tc_HOL_Obool)))], (5445 ^ _66352) ^ [] : [-(_275555 = c_Orderings_Obot__class_Obot(tc_fun(_275551, tc_HOL_Obool)))]]], (5447 ^ _66352) ^ [_275840, _275842, _275844] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_275840, tc_HOL_Obool), _275842, _275844) = c_Orderings_Obot__class_Obot(tc_fun(_275840, tc_HOL_Obool))), _275842 = c_Orderings_Obot__class_Obot(tc_fun(_275840, tc_HOL_Obool)), _275844 = c_Orderings_Obot__class_Obot(tc_fun(_275840, tc_HOL_Obool))], (5457 ^ _66352) ^ [_276238, _276240, _276242] : [c_Finite__Set_Ofinite(_276238, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_276238, tc_HOL_Obool), _276240, _276242)), 5460 ^ _66352 : [(5461 ^ _66352) ^ [] : [-(c_Finite__Set_Ofinite(_276238, _276240))], (5463 ^ _66352) ^ [] : [-(c_Finite__Set_Ofinite(_276238, _276242))]]], (5465 ^ _66352) ^ [_276497, _276499, _276501] : [-(c_Finite__Set_Ofinite(_276497, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_276497, tc_HOL_Obool), _276499, _276501))), c_Finite__Set_Ofinite(_276497, _276499), c_Finite__Set_Ofinite(_276497, _276501)], (5475 ^ _66352) ^ [_276836, _276838, _276840] : [c_Finite__Set_Ofinite(_276836, _276838), c_Finite__Set_Ofinite(_276836, _276840), -(c_Finite__Set_Ofinite(_276836, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_276836, tc_HOL_Obool), _276838, _276840)))], (5485 ^ _66352) ^ [_277202, _277204, _277206] : [c_Wellfounded_Owf(_277202, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277202, _277202), tc_HOL_Obool), _277204, _277206)), -(c_Wellfounded_Owf(_277202, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277202, _277202), tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277202, _277202), tc_HOL_Obool), c_Relation_Orel__comp(_277202, _277202, _277202, _277204, _277204), c_Relation_Orel__comp(_277202, _277202, _277202, _277206, _277204)), _277206)))], (5491 ^ _66352) ^ [_277454, _277456, _277458] : [c_Wellfounded_Owf(_277454, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277454, _277454), tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277454, _277454), tc_HOL_Obool), c_Relation_Orel__comp(_277454, _277454, _277454, _277456, _277456), c_Relation_Orel__comp(_277454, _277454, _277454, _277458, _277456)), _277458)), -(c_Wellfounded_Owf(_277454, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277454, _277454), tc_HOL_Obool), _277456, _277458)))], (5497 ^ _66352) ^ [_277741, _277743] : [-(c_Transitive__Closure_Otrancl(_277741, _277743) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277741, _277741), tc_HOL_Obool), _277743, c_Relation_Orel__comp(_277741, _277741, _277741, c_Transitive__Closure_Otrancl(_277741, _277743), _277743)))], (5499 ^ _66352) ^ [_277900, _277902, _277904, _277906] : [c_Relation_Orel__comp(_277900, _277900, _277900, _277902, _277904) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_277900, _277900), tc_HOL_Obool)), c_Relation_Orel__comp(_277900, _277900, _277900, _277906, _277904) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_277900, _277900), tc_HOL_Obool)), -(c_Relation_Orel__comp(_277900, _277900, _277900, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_277900, _277900), tc_HOL_Obool), _277902, _277906), _277904) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_277900, _277900), tc_HOL_Obool)))], (5509 ^ _66352) ^ [_278351, _278353, _278355, _278357] : [c_Relation_Orel__comp(_278351, _278351, _278351, _278353, _278355) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_278351, _278351), tc_HOL_Obool)), c_Relation_Orel__comp(_278351, _278351, _278351, _278353, _278357) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_278351, _278351), tc_HOL_Obool)), -(c_Relation_Orel__comp(_278351, _278351, _278351, _278353, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_278351, _278351), tc_HOL_Obool), _278355, _278357)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_278351, _278351), tc_HOL_Obool)))], (5519 ^ _66352) ^ [_278759, _278761] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_278759, _278759), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_278759, _278761), c_Relation_OId(_278759)) = c_Transitive__Closure_Ortrancl(_278759, _278761))], (5521 ^ _66352) ^ [_278871, _278873] : [-(c_Transitive__Closure_Ortrancl(_278871, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_278871, _278871), tc_HOL_Obool), _278873, c_Relation_OId(_278871))) = c_Transitive__Closure_Ortrancl(_278871, _278873))], (5523 ^ _66352) ^ [_279027, _279029] : [c_Relation_Oantisym(_279027, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_279027, _279027), tc_HOL_Obool), _279029, c_Relation_OId(_279027))), -(c_Relation_Oantisym(_279027, _279029))], (5529 ^ _66352) ^ [_279213, _279215] : [c_Relation_Oantisym(_279213, _279215), -(c_Relation_Oantisym(_279213, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_279213, _279213), tc_HOL_Obool), _279215, c_Relation_OId(_279213))))], (5535 ^ _66352) ^ [_279533, _279535, _279537, _279539, _279541, _279543, _279545, _279547] : [c_Finite__Set_Ofolding__image__simple__idem(_279533, _279535, _279537, _279539, _279541, _279543), c_Finite__Set_Ofinite(_279535, _279545), c_Finite__Set_Ofinite(_279535, _279547), -(hAPP(_279543, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_279535, tc_HOL_Obool), _279545, _279547)) = hAPP(hAPP(_279537, hAPP(_279543, _279545)), hAPP(_279543, _279547)))], (5549 ^ _66352) ^ [_280056, _280058, _280060] : [-(c_Transitive__Closure_Ortrancl(_280056, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_280056, _280056), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_280056, _280058), c_Transitive__Closure_Ortrancl(_280056, _280060))) = c_Transitive__Closure_Ortrancl(_280056, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_280056, _280056), tc_HOL_Obool), _280058, _280060)))], (5551 ^ _66352) ^ [_280212, _280214, _280216, _280218] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280212, tc_HOL_Obool), _280214, c_Set_Oinsert(_280212, _280216, _280218)) = c_Set_Oinsert(_280212, _280216, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280212, tc_HOL_Obool), _280214, _280218)))], (5553 ^ _66352) ^ [_280360, _280362, _280364, _280366] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280360, tc_HOL_Obool), c_Set_Oinsert(_280360, _280362, _280364), _280366) = c_Set_Oinsert(_280360, _280362, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280360, tc_HOL_Obool), _280364, _280366)))], (5555 ^ _66352) ^ [_280537, _280539, _280541, _280543, _280545] : [c_Relation_Orefl__on(_280537, _280539, _280541), c_Relation_Orefl__on(_280537, _280543, _280545), -(c_Relation_Orefl__on(_280537, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280537, tc_HOL_Obool), _280539, _280543), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_280537, _280537), tc_HOL_Obool), _280541, _280545)))], (5565 ^ _66352) ^ [_280919, _280921, _280923, _280925] : [-(c_Relation_ODomain(_280919, _280921, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_280919, _280921), tc_HOL_Obool), _280923, _280925)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_280919, tc_HOL_Obool), c_Relation_ODomain(_280919, _280921, _280923), c_Relation_ODomain(_280919, _280921, _280925)))], (5567 ^ _66352) ^ [_281074, _281076, _281078, _281080] : [-(c_Relation_ORange(_281074, _281076, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_281074, _281076), tc_HOL_Obool), _281078, _281080)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281076, tc_HOL_Obool), c_Relation_ORange(_281074, _281076, _281078), c_Relation_ORange(_281074, _281076, _281080)))], (5569 ^ _66352) ^ [_281201, _281203] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281201, tc_HOL_Obool), _281203, _281203) = _281203)], (5571 ^ _66352) ^ [_281316, _281318, _281320] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281316, tc_HOL_Obool), _281318, _281320) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281316, tc_HOL_Obool), _281320, _281318))], (5573 ^ _66352) ^ [_281440, _281442, _281444] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281440, tc_HOL_Obool), _281442, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281440, tc_HOL_Obool), _281442, _281444)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281440, tc_HOL_Obool), _281442, _281444))], (5575 ^ _66352) ^ [_281585, _281587, _281589, _281591] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281585, tc_HOL_Obool), _281587, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281585, tc_HOL_Obool), _281589, _281591)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281585, tc_HOL_Obool), _281589, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281585, tc_HOL_Obool), _281587, _281591)))], (5577 ^ _66352) ^ [_281739, _281741, _281743, _281745] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281739, tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281739, tc_HOL_Obool), _281741, _281743), _281745) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281739, tc_HOL_Obool), _281741, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281739, tc_HOL_Obool), _281743, _281745)))], (5579 ^ _66352) ^ [_281937, _281939, _281941, _281943] : [5580 ^ _66352 : [(5581 ^ _66352) ^ [_282077] : [c_member(_281937, _282077, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_281937, tc_HOL_Obool), _281939, _281941)), hBOOL(hAPP(_281943, _282077))]], 5589 ^ _66352 : [(5590 ^ _66352) ^ [] : [-(c_member(_281937, 5588 ^ [_281937, _281939, _281941, _281943], _281939))], (5592 ^ _66352) ^ [] : [-(hBOOL(hAPP(_281943, 5588 ^ [_281937, _281939, _281941, _281943])))]], 5594 ^ _66352 : [(5595 ^ _66352) ^ [] : [-(c_member(_281937, 5593 ^ [_281937, _281939, _281941, _281943], _281941))], (5597 ^ _66352) ^ [] : [-(hBOOL(hAPP(_281943, 5593 ^ [_281937, _281939, _281941, _281943])))]]], (5599 ^ _66352) ^ [_282751, _282753, _282755, _282757] : [5613 ^ _66352 : [(5614 ^ _66352) ^ [] : [-(c_member(_282751, 5612 ^ [_282751, _282753, _282755, _282757], c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_282751, tc_HOL_Obool), _282753, _282755)))], (5616 ^ _66352) ^ [] : [-(hBOOL(hAPP(_282757, 5612 ^ [_282751, _282753, _282755, _282757])))]], 5600 ^ _66352 : [(5601 ^ _66352) ^ [_282911] : [c_member(_282751, _282911, _282753), hBOOL(hAPP(_282757, _282911))], (5607 ^ _66352) ^ [_283118] : [c_member(_282751, _283118, _282755), hBOOL(hAPP(_282757, _283118))]]], (5637 ^ _66352) ^ [_284441, _284443, _284445, _284447] : [5641 ^ _66352 : [(5642 ^ _66352) ^ [] : [-(c_member(_284441, 5640 ^ [_284441, _284443, _284445, _284447], _284443))], (5644 ^ _66352) ^ [] : [hBOOL(hAPP(_284447, 5640 ^ [_284441, _284443, _284445, _284447]))]], 5646 ^ _66352 : [(5647 ^ _66352) ^ [] : [-(c_member(_284441, 5645 ^ [_284441, _284443, _284445, _284447], _284445))], (5649 ^ _66352) ^ [] : [hBOOL(hAPP(_284447, 5645 ^ [_284441, _284443, _284445, _284447]))]], 5650 ^ _66352 : [(5651 ^ _66352) ^ [_285041] : [c_member(_284441, _285041, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_284441, tc_HOL_Obool), _284443, _284445)), -(hBOOL(hAPP(_284447, _285041)))]]], (5618 ^ _66352) ^ [_283649, _283651, _283653, _283655] : [5620 ^ _66352 : [(5621 ^ _66352) ^ [] : [-(c_member(_283649, 5619 ^ [_283649, _283651, _283653, _283655], c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_283649, tc_HOL_Obool), _283651, _283653)))], (5623 ^ _66352) ^ [] : [hBOOL(hAPP(_283655, 5619 ^ [_283649, _283651, _283653, _283655]))]], 5624 ^ _66352 : [(5625 ^ _66352) ^ [_284031] : [c_member(_283649, _284031, _283651), -(hBOOL(hAPP(_283655, _284031)))], (5631 ^ _66352) ^ [_284239] : [c_member(_283649, _284239, _283653), -(hBOOL(hAPP(_283655, _284239)))]]], (5657 ^ _66352) ^ [_285319, _285321, _285323, _285325] : [-(hAPP(c_Relation_Oconverse(_285319, _285321), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_285319, _285321), tc_HOL_Obool), _285323, _285325)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_285321, _285319), tc_HOL_Obool), hAPP(c_Relation_Oconverse(_285319, _285321), _285323), hAPP(c_Relation_Oconverse(_285319, _285321), _285325)))], (5659 ^ _66352) ^ [_285498, _285500, _285502, _285504] : [5660 ^ _66352 : [(5661 ^ _66352) ^ [] : [c_member(tc_prod(_285498, _285498), _285500, c_Transitive__Closure_Ortrancl(_285498, _285502))], (5663 ^ _66352) ^ [] : [c_member(tc_prod(_285498, _285498), _285500, c_Transitive__Closure_Ortrancl(_285498, _285504))]], -(c_member(tc_prod(_285498, _285498), _285500, c_Transitive__Closure_Ortrancl(_285498, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_285498, _285498), tc_HOL_Obool), _285502, _285504))))], (5667 ^ _66352) ^ [_285901, _285903, _285905, _285907, _285909, _285911] : [-(c_Relation_Orel__comp(_285901, _285903, _285905, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_285901, _285903), tc_HOL_Obool), _285907, _285909), _285911) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_285901, _285905), tc_HOL_Obool), c_Relation_Orel__comp(_285901, _285903, _285905, _285907, _285911), c_Relation_Orel__comp(_285901, _285903, _285905, _285909, _285911)))], (5669 ^ _66352) ^ [_286097, _286099, _286101, _286103, _286105, _286107] : [-(c_Relation_Orel__comp(_286097, _286099, _286101, _286103, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_286099, _286101), tc_HOL_Obool), _286105, _286107)) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_286097, _286101), tc_HOL_Obool), c_Relation_Orel__comp(_286097, _286099, _286101, _286103, _286105), c_Relation_Orel__comp(_286097, _286099, _286101, _286103, _286107)))], (5671 ^ _66352) ^ [_286280, _286282, _286284, _286286] : [c_member(_286280, _286282, _286284), -(c_member(_286280, _286282, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_286280, tc_HOL_Obool), _286286, _286284)))], (5677 ^ _66352) ^ [_286548, _286550, _286552, _286554] : [c_member(_286548, _286550, _286552), -(c_member(_286548, _286550, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_286548, tc_HOL_Obool), _286552, _286554)))], (5693 ^ _66352) ^ [_287137, _287139, _287141, _287143] : [5694 ^ _66352 : [(5695 ^ _66352) ^ [] : [c_member(_287137, _287139, _287141)], (5697 ^ _66352) ^ [] : [c_member(_287137, _287139, _287143)]], -(c_member(_287137, _287139, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_287137, tc_HOL_Obool), _287141, _287143)))], (5683 ^ _66352) ^ [_286845, _286847, _286849, _286851] : [c_member(_286845, _286847, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_286845, tc_HOL_Obool), _286849, _286851)), -(c_member(_286845, _286847, _286849)), -(c_member(_286845, _286847, _286851))], (5701 ^ _66352) ^ [_287458, _287460, _287462] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_287458, _287458), tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_287458, _287458), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_287458, _287460), c_Transitive__Closure_Ortrancl(_287458, _287462)), c_Transitive__Closure_Ortrancl(_287458, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_287458, _287458), tc_HOL_Obool), _287460, _287462))))], (5703 ^ _66352) ^ [_287647, _287649, _287651, _287653, _287655] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_287647, tc_HOL_Obool), _287649, _287651), c_Orderings_Oord__class_Oless__eq(tc_fun(_287647, tc_HOL_Obool), _287653, _287655), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_287647, tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_287647, tc_HOL_Obool), _287649, _287653), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_287647, tc_HOL_Obool), _287651, _287655)))], (5713 ^ _66352) ^ [_288056, _288058, _288060, _288062] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_288056, tc_HOL_Obool), _288058, _288060), c_Orderings_Oord__class_Oless__eq(tc_fun(_288056, tc_HOL_Obool), _288062, _288060), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_288056, tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_288056, tc_HOL_Obool), _288058, _288062), _288060))], (5723 ^ _66352) ^ [_288427, _288429, _288431] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_288427, tc_HOL_Obool), _288429, _288431), -(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_288427, tc_HOL_Obool), _288431, _288429) = _288431)], (5729 ^ _66352) ^ [_288679, _288681, _288683] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_288679, tc_HOL_Obool), _288681, _288683), -(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_288679, tc_HOL_Obool), _288681, _288683) = _288683)], (5735 ^ _66352) ^ [_288960, _288962, _288964] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_288960, tc_HOL_Obool), _288962, _288964), -(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_288960, tc_HOL_Obool), _288962, _288964) = _288964)], (5741 ^ _66352) ^ [_289150, _289152, _289154] : [c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_289150, tc_HOL_Obool), _289152, _289154) = _289154, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_289150, tc_HOL_Obool), _289152, _289154))], (5747 ^ _66352) ^ [_289389, _289391, _289393] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_289389, tc_HOL_Obool), _289391, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_289389, tc_HOL_Obool), _289393, _289391)))], (5749 ^ _66352) ^ [_289510, _289512, _289514] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_289510, tc_HOL_Obool), _289512, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_289510, tc_HOL_Obool), _289512, _289514)))], (5751 ^ _66352) ^ [_289646, _289648, _289650] : [c_Wellfounded_Owf(_289646, _289648), c_Wellfounded_Owf(_289646, _289650), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_289646, _289646), tc_HOL_Obool), c_Relation_Orel__comp(_289646, _289646, _289646, _289648, _289650), _289648), -(c_Wellfounded_Owf(_289646, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_289646, _289646), tc_HOL_Obool), _289648, _289650)))], (5765 ^ _66352) ^ [_290079, _290081] : [-(c_Transitive__Closure_Otrancl(_290079, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_290079, _290079), tc_HOL_Obool), _290081, c_Relation_OId(_290079))) = c_Transitive__Closure_Ortrancl(_290079, _290081))], (5767 ^ _66352) ^ [_290191, _290193] : [-(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_290191, _290191), tc_HOL_Obool), c_Transitive__Closure_Otrancl(_290191, _290193), c_Relation_OId(_290191)) = c_Transitive__Closure_Ortrancl(_290191, _290193))], (5769 ^ _66352) ^ [_290303, _290305] : [-(c_Transitive__Closure_Ortrancl(_290303, _290305) = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_290303, _290303), tc_HOL_Obool), c_Relation_OId(_290303), c_Relation_Orel__comp(_290303, _290303, _290303, c_Transitive__Closure_Ortrancl(_290303, _290305), _290305)))], (5771 ^ _66352) ^ [_290492, _290494, _290496, _290498, _290500, _290502] : [c_Finite__Set_Ofolding__idem(_290492, _290494, _290496, _290498), c_Finite__Set_Ofinite(_290492, _290500), c_Finite__Set_Ofinite(_290492, _290502), -(hAPP(_290498, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_290492, tc_HOL_Obool), _290500, _290502)) = c_Fun_Ocomp(_290494, _290494, _290494, hAPP(_290498, _290500), hAPP(_290498, _290502)))], (5785 ^ _66352) ^ [_291040, _291042, _291044, _291046, _291048, _291050] : [c_member(tc_prod(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool), _291042, _291044), c_Wellfounded_Omax__ext(_291040, _291046)), c_member(tc_prod(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool), _291048, _291050), c_Wellfounded_Omax__ext(_291040, _291046)), -(c_member(tc_prod(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_291040, tc_HOL_Obool), tc_fun(_291040, tc_HOL_Obool), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_291040, tc_HOL_Obool), _291042, _291048), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_291040, tc_HOL_Obool), _291044, _291050)), c_Wellfounded_Omax__ext(_291040, _291046)))], (5795 ^ _66352) ^ [_291565, _291567, _291569] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_291565, _291565), tc_HOL_Obool), c_Relation_Orel__comp(_291565, _291565, _291565, _291567, _291569), _291567), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool)), tc_HOL_Obool), c_Relation_Orel__comp(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool), c_Wellfounded_Omax__ext(_291565, _291567), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool)), tc_HOL_Obool), c_Wellfounded_Omax__ext(_291565, _291569), c_Set_Oinsert(tc_prod(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_291565, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_291565, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_291565, tc_HOL_Obool), tc_fun(_291565, tc_HOL_Obool)), tc_HOL_Obool))))), c_Wellfounded_Omax__ext(_291565, _291567)))], (5801 ^ _66352) ^ [_292023, _292025, _292027] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_292023, _292023), tc_HOL_Obool), c_Relation_Orel__comp(_292023, _292023, _292023, _292025, _292027), _292025), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool)), tc_HOL_Obool), c_Relation_Orel__comp(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool), c_Wellfounded_Omin__ext(_292023, _292025), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool)), tc_HOL_Obool), c_Wellfounded_Omin__ext(_292023, _292027), c_Set_Oinsert(tc_prod(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool)), c_Product__Type_OPair(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_292023, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_292023, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_292023, tc_HOL_Obool), tc_fun(_292023, tc_HOL_Obool)), tc_HOL_Obool))))), c_Wellfounded_Omin__ext(_292023, _292025)))], (5807 ^ _66352) ^ [_292495, _292497, _292499, _292501] : [5808 ^ _66352 : [(5809 ^ _66352) ^ [] : [hBOOL(hAPP(_292495, _292497))], (5811 ^ _66352) ^ [] : [hBOOL(hAPP(_292499, _292497))]], -(hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_292501, tc_HOL_Obool), _292499, _292495), _292497)))], (5815 ^ _66352) ^ [_292851, _292853, _292855, _292857] : [hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_292851, tc_HOL_Obool), _292853, _292855), _292857)), -(hBOOL(hAPP(_292853, _292857))), -(hBOOL(hAPP(_292855, _292857)))], (5825 ^ _66352) ^ [] : [-(c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool), c_FunDef_Opair__less, c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat))))], (5827 ^ _66352) ^ [_293295, _293297, _293299] : [c_member(_293295, _293297, c_fequal(_293299)), -(_293297 = _293299)], (5833 ^ _66352) ^ [_293469, _293471, _293473] : [_293471 = _293473, -(c_member(_293469, _293471, c_fequal(_293473)))], (5839 ^ _66352) ^ [_293721, _293723, _293725, _293727] : [hBOOL(hAPP(_293721, _293723)), c_Orderings_Oord__class_Oless__eq(tc_fun(_293725, tc_HOL_Obool), _293721, _293727), -(hBOOL(hAPP(_293727, _293723)))], (5849 ^ _66352) ^ [_294084, _294086, _294088, _294090] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_294084, tc_HOL_Obool), _294086, _294088), hBOOL(hAPP(_294086, _294090)), -(hBOOL(hAPP(_294088, _294090)))], (5859 ^ _66352) ^ [_294447, _294449, _294451, _294453] : [hBOOL(hAPP(_294447, _294449)), -(hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_294451, tc_HOL_Obool), _294447, _294453), _294449)))], (5865 ^ _66352) ^ [_294719, _294721, _294723, _294725] : [hBOOL(hAPP(_294719, _294721)), -(hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_294723, tc_HOL_Obool), _294725, _294719), _294721)))], (5871 ^ _66352) ^ [_295019, _295021, _295023, _295025, _295027, _295029] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_295019, tc_fun(_295021, tc_HOL_Obool)), _295023, _295025), hBOOL(hAPP(hAPP(_295023, _295027), _295029)), -(hBOOL(hAPP(hAPP(_295025, _295027), _295029)))], (5881 ^ _66352) ^ [_295448, _295450, _295452, _295454, _295456, _295458] : [hBOOL(hAPP(hAPP(_295448, _295450), _295452)), c_Orderings_Oord__class_Oless__eq(tc_fun(_295454, tc_fun(_295456, tc_HOL_Obool)), _295448, _295458), -(hBOOL(hAPP(hAPP(_295458, _295450), _295452)))], (5891 ^ _66352) ^ [_295863, _295865, _295867, _295869, _295871] : [c_Finite__Set_Ofolding__one(_295863, _295865, _295867), c_Finite__Set_Ofinite(_295863, _295869), -(c_member(_295863, _295871, _295869)), -(_295869 = c_Orderings_Obot__class_Obot(tc_fun(_295863, tc_HOL_Obool))), -(hAPP(_295867, c_Set_Oinsert(_295863, _295871, _295869)) = hAPP(hAPP(_295865, _295871), hAPP(_295867, _295869)))], (5909 ^ _66352) ^ [_296488, _296490, _296492, _296494, _296496] : [class_Lattices_Olattice(_296488), -(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_296490, _296488), _296492, _296494), _296496) = c_Lattices_Osemilattice__sup__class_Osup(_296488, hAPP(_296492, _296496), hAPP(_296494, _296496)))], (5915 ^ _66352) ^ [_296754, _296756] : [class_Lattices_Osemilattice__sup(_296754), -(c_Lattices_Osemilattice__sup__class_Osup(_296754, _296756, _296756) = _296756)], (5921 ^ _66352) ^ [_296970, _296972] : [class_Lattices_Osemilattice__sup(_296970), -(c_Lattices_Osemilattice__sup__class_Osup(_296970, _296972, _296972) = _296972)], (5927 ^ _66352) ^ [_297200, _297202, _297204] : [class_Lattices_Osemilattice__sup(_297200), -(c_Lattices_Osemilattice__sup__class_Osup(_297200, _297202, _297204) = c_Lattices_Osemilattice__sup__class_Osup(_297200, _297204, _297202))], (5933 ^ _66352) ^ [_297444, _297446, _297448] : [class_Lattices_Olattice(_297444), -(c_Lattices_Osemilattice__sup__class_Osup(_297444, _297446, _297448) = c_Lattices_Osemilattice__sup__class_Osup(_297444, _297448, _297446))], (5939 ^ _66352) ^ [_297688, _297690, _297692] : [class_Lattices_Osemilattice__sup(_297688), -(c_Lattices_Osemilattice__sup__class_Osup(_297688, _297690, _297692) = c_Lattices_Osemilattice__sup__class_Osup(_297688, _297692, _297690))], (5945 ^ _66352) ^ [_297932, _297934, _297936] : [class_Lattices_Osemilattice__sup(_297932), -(c_Lattices_Osemilattice__sup__class_Osup(_297932, _297934, c_Lattices_Osemilattice__sup__class_Osup(_297932, _297934, _297936)) = c_Lattices_Osemilattice__sup__class_Osup(_297932, _297934, _297936))], (5951 ^ _66352) ^ [_298184, _298186, _298188] : [class_Lattices_Olattice(_298184), -(c_Lattices_Osemilattice__sup__class_Osup(_298184, _298186, c_Lattices_Osemilattice__sup__class_Osup(_298184, _298186, _298188)) = c_Lattices_Osemilattice__sup__class_Osup(_298184, _298186, _298188))], (5957 ^ _66352) ^ [_298436, _298438, _298440] : [class_Lattices_Osemilattice__sup(_298436), -(c_Lattices_Osemilattice__sup__class_Osup(_298436, _298438, c_Lattices_Osemilattice__sup__class_Osup(_298436, _298438, _298440)) = c_Lattices_Osemilattice__sup__class_Osup(_298436, _298438, _298440))], (5963 ^ _66352) ^ [_298674, _298676] : [class_Lattices_Olattice(_298674), -(class_Lattices_Osemilattice__sup(tc_fun(_298676, _298674)))], (5969 ^ _66352) ^ [_298886, _298888] : [class_Orderings_Opreorder(_298886), -(class_Orderings_Opreorder(tc_fun(_298888, _298886)))], (5975 ^ _66352) ^ [_299098, _299100] : [-(class_Finite__Set_Ofinite(tc_fun(_299098, _299100))), class_Finite__Set_Ofinite(_299098), class_Finite__Set_Ofinite(_299100)], (5985 ^ _66352) ^ [_299397, _299399] : [class_Lattices_Olattice(_299397), -(class_Lattices_Olattice(tc_fun(_299399, _299397)))], (5991 ^ _66352) ^ [_299609, _299611] : [class_Orderings_Oorder(_299609), -(class_Orderings_Oorder(tc_fun(_299611, _299609)))], (5997 ^ _66352) ^ [_299821, _299823] : [class_Orderings_Oord(_299821), -(class_Orderings_Oord(tc_fun(_299823, _299821)))], (6003 ^ _66352) ^ [_300033, _300035] : [class_Orderings_Obot(_300033), -(class_Orderings_Obot(tc_fun(_300035, _300033)))], (6009 ^ _66352) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_Nat_Onat))], (6011 ^ _66352) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (6013 ^ _66352) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (6015 ^ _66352) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (6017 ^ _66352) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (6019 ^ _66352) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (6021 ^ _66352) ^ [] : [-(class_Orderings_Obot(tc_Nat_Onat))], (6023 ^ _66352) ^ [] : [-(class_Lattices_Osemilattice__sup(tc_HOL_Obool))], (6025 ^ _66352) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (6027 ^ _66352) ^ [] : [-(class_Finite__Set_Ofinite(tc_HOL_Obool))], (6029 ^ _66352) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (6031 ^ _66352) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (6033 ^ _66352) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (6035 ^ _66352) ^ [] : [-(class_Orderings_Obot(tc_HOL_Obool))], (6037 ^ _66352) ^ [_300987, _300989] : [-(class_Finite__Set_Ofinite(tc_prod(_300987, _300989))), class_Finite__Set_Ofinite(_300987), class_Finite__Set_Ofinite(_300989)], (6047 ^ _66352) ^ [_301286, _301288] : [hBOOL(hAPP(c_fequal(_301286), _301288)), -(_301286 = _301288)], (6053 ^ _66352) ^ [_301486, _301488] : [_301486 = _301488, -(hBOOL(hAPP(c_fequal(_301486), _301488)))]], input).
% 141.39/136.81  ncf('1',plain,[6063 : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____)), 6067 : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)))],start(6059 ^ 0)).
% 141.39/136.81  ncf('1.1',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____))), 1176 : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____))), 1176 : -(v_b____ = v_a____), 1176 : -(v_b____ = v_c____), 1176 : -(v_b____ = v_c____), 1176 : -(v_a____ = v_b____), 1176 : c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), c_Arrow__Order__Mirabelle_OProf), 1176 : c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P_H____, c_Arrow__Order__Mirabelle_OProf), 1168 : -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]))), 1172 : -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____])))],extension(1139 ^ 3,bind([[_102175, _102177, _102179, _102181, _102183, _102185], [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]]))).
% 141.39/136.81  ncf('1.1.1',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____))))],extension(6061 ^ 6)).
% 141.39/136.81  ncf('1.1.2',plain,[v_b____ = v_a____, -(v_a____ = v_b____)],extension(4 ^ 4,bind([[_66405, _66407], [v_a____, v_b____]]))).
% 141.39/136.81  ncf('1.1.2.1',plain,[v_a____ = v_b____],extension(1103 ^ 5)).
% 141.39/136.81  ncf('1.1.3',plain,[v_b____ = v_c____, -(v_c____ = v_c____), v_c____ = v_b____],extension(10 ^ 4,bind([[_66478, _66480, _66482], [v_c____, v_b____, v_c____]]))).
% 141.39/136.81  ncf('1.1.3.1',plain,[v_c____ = v_c____, -(v_b____ = v_c____), v_b____ = v_c____],extension(10 ^ 5,bind([[_66478, _66480, _66482], [v_c____, v_c____, v_b____]]))).
% 141.39/136.81  ncf('1.1.3.1.1',plain,[v_b____ = v_c____],extension(1105 ^ 6)).
% 141.39/136.81  ncf('1.1.3.1.2',plain,[-(v_b____ = v_c____)],reduction('1.1')).
% 141.39/136.81  ncf('1.1.3.2',plain,[-(v_c____ = v_b____), v_b____ = v_c____],extension(4 ^ 5,bind([[_66405, _66407], [v_c____, v_b____]]))).
% 141.39/136.81  ncf('1.1.3.2.1',plain,[-(v_b____ = v_c____)],reduction('1.1')).
% 141.39/136.81  ncf('1.1.4',plain,[v_b____ = v_c____],lemmata('[1].x')).
% 141.39/136.81  ncf('1.1.5',plain,[v_a____ = v_b____, -(v_b____ = v_a____)],extension(4 ^ 4,bind([[_66405, _66407], [v_b____, v_a____]]))).
% 141.39/136.81  ncf('1.1.5.1',plain,[v_b____ = v_a____],lemmata('[1].x')).
% 141.39/136.81  ncf('1.1.6',plain,[-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), c_Arrow__Order__Mirabelle_OProf))],extension(1125 ^ 4)).
% 141.39/136.81  ncf('1.1.7',plain,[-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P_H____, c_Arrow__Order__Mirabelle_OProf))],extension(1111 ^ 4)).
% 141.39/136.81  ncf('1.1.8',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____])), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____])))],extension(1127 ^ 6,bind([[_101725], [1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]]]))).
% 141.39/136.81  ncf('1.1.8.1',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]))],extension(1170 ^ 7)).
% 141.39/136.81  ncf('1.1.9',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____])), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____])))],extension(1133 ^ 6,bind([[_101897], [1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]]]))).
% 141.39/136.81  ncf('1.1.9.1',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_a____, v_b____, v_c____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), v_P_H____]))],extension(1174 ^ 7)).
% 141.39/136.81  ncf('1.2',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(v_F, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)))), 1176 : c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____)), 1176 : -(v_b____ = v_c____), 1176 : -(v_b____ = v_a____), 1176 : -(v_b____ = v_a____), 1176 : -(v_c____ = v_b____), 1176 : c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P_H____, c_Arrow__Order__Mirabelle_OProf), 1176 : c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), c_Arrow__Order__Mirabelle_OProf), 1168 : -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]))), 1172 : -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)])))],extension(1139 ^ 3,bind([[_102175, _102177, _102179, _102181, _102183, _102185], [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]]))).
% 141.39/136.81  ncf('1.2.1',plain,[-(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_F, v_P_H____)))],extension(6065 ^ 6)).
% 141.39/136.81  ncf('1.2.2',plain,[v_b____ = v_c____, -(v_c____ = v_c____), v_c____ = v_b____],extension(10 ^ 4,bind([[_66478, _66480, _66482], [v_c____, v_b____, v_c____]]))).
% 141.39/136.81  ncf('1.2.2.1',plain,[v_c____ = v_c____, -(v_b____ = v_c____), v_b____ = v_c____],extension(10 ^ 5,bind([[_66478, _66480, _66482], [v_c____, v_c____, v_b____]]))).
% 141.39/136.81  ncf('1.2.2.1.1',plain,[v_b____ = v_c____],extension(1105 ^ 6)).
% 141.39/136.81  ncf('1.2.2.1.2',plain,[-(v_b____ = v_c____)],reduction('1.2')).
% 141.39/136.81  ncf('1.2.2.2',plain,[-(v_c____ = v_b____), v_b____ = v_c____],extension(4 ^ 5,bind([[_66405, _66407], [v_c____, v_b____]]))).
% 141.39/136.81  ncf('1.2.2.2.1',plain,[-(v_b____ = v_c____)],reduction('1.2')).
% 141.39/136.81  ncf('1.2.3',plain,[v_b____ = v_a____, -(v_a____ = v_b____)],extension(4 ^ 4,bind([[_66405, _66407], [v_a____, v_b____]]))).
% 141.39/136.81  ncf('1.2.3.1',plain,[v_a____ = v_b____],extension(1103 ^ 5)).
% 141.39/136.81  ncf('1.2.4',plain,[v_b____ = v_a____],lemmata('[1].x')).
% 141.39/136.81  ncf('1.2.5',plain,[v_c____ = v_b____, -(v_b____ = v_c____)],extension(4 ^ 4,bind([[_66405, _66407], [v_b____, v_c____]]))).
% 141.39/136.81  ncf('1.2.5.1',plain,[v_b____ = v_c____],lemmata('[1].x')).
% 141.39/136.81  ncf('1.2.6',plain,[-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), v_P_H____, c_Arrow__Order__Mirabelle_OProf))],extension(1111 ^ 4)).
% 141.39/136.81  ncf('1.2.7',plain,[-(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), c_Arrow__Order__Mirabelle_OProf))],extension(1125 ^ 4)).
% 141.39/136.81  ncf('1.2.8',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)])), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)])))],extension(1133 ^ 6,bind([[_101897], [1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]]]))).
% 141.39/136.81  ncf('1.2.8.1',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]))],extension(1170 ^ 7)).
% 141.39/136.81  ncf('1.2.9',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_a____), hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____), 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)])), -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)])))],extension(1127 ^ 6,bind([[_101725], [1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]]]))).
% 141.39/136.81  ncf('1.2.9.1',plain,[c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_b____, v_c____), hAPP(v_P_H____, 1164 ^ [v_b____, v_c____, v_b____, v_a____, v_P_H____, c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P____)]))],extension(1174 ^ 7)).
% 141.39/136.81  %-----------------------------------------------------
% 141.39/136.81  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------