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nanoCoP---2.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SCT149+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 0.50s 1.35s
% Output   : Proof 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SCT149+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.30  % Computer : n029.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Thu May 18 15:41:28 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.50/1.35  
% 0.50/1.35  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.50/1.35  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.35  %-----------------------------------------------------
% 0.50/1.35  ncf(matrix, plain, [(6363 ^ _83868) ^ [] : [6364 ^ _83868 : [(6365 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))))], (6367 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____)))]], 6368 ^ _83868 : [(6369 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____))))], (6371 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____)))]]], (2 ^ _83868) ^ [_83898] : [-(_83898 = _83898)], (4 ^ _83868) ^ [_83921, _83923] : [_83923 = _83921, -(_83921 = _83923)], (10 ^ _83868) ^ [_83994, _83996, _83998] : [-(_83998 = _83994), _83998 = _83996, _83996 = _83994], (20 ^ _83868) ^ [_84131, _84133] : [-(c_Arrow__Order__Mirabelle_OIIA(_84131)), _84133 = _84131, c_Arrow__Order__Mirabelle_OIIA(_84133)], (30 ^ _83868) ^ [_84256, _84258] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_84256)), _84258 = _84256, c_Arrow__Order__Mirabelle_Ounanimity(_84258)], (40 ^ _83868) ^ [_84381, _84383, _84385, _84387] : [-(c_Arrow__Order__Mirabelle_Odictator(_84385, _84381)), c_Arrow__Order__Mirabelle_Odictator(_84387, _84383), _84387 = _84385, _84383 = _84381], (54 ^ _83868) ^ [_84574, _84576, _84578, _84580] : [-(c_Nitpick_Orefl_H(_84578, _84574)), c_Nitpick_Orefl_H(_84580, _84576), _84580 = _84578, _84576 = _84574], (68 ^ _83868) ^ [_84767, _84769, _84771, _84773, _84775, _84777, _84779, _84781] : [-(c_Predicate_ODomainP(_84779, _84775, _84771, _84767)), c_Predicate_ODomainP(_84781, _84777, _84773, _84769), _84781 = _84779, _84777 = _84775, _84773 = _84771, _84769 = _84767], (90 ^ _83868) ^ [_85120, _85122, _85124, _85126] : [-(c_Relation_Oirrefl(_85124, _85120)), c_Relation_Oirrefl(_85126, _85122), _85126 = _85124, _85122 = _85120], (104 ^ _83868) ^ [_85313, _85315, _85317, _85319, _85321, _85323, _85325, _85327] : [-(c_Predicate_ORangeP(_85325, _85321, _85317, _85313)), c_Predicate_ORangeP(_85327, _85323, _85319, _85315), _85327 = _85325, _85323 = _85321, _85319 = _85317, _85315 = _85313], (126 ^ _83868) ^ [_85666, _85668, _85670, _85672, _85674, _85676] : [-(c_Relation_Ototal__on(_85674, _85670, _85666)), c_Relation_Ototal__on(_85676, _85672, _85668), _85676 = _85674, _85672 = _85670, _85668 = _85666], (144 ^ _83868) ^ [_85935, _85937, _85939, _85941, _85943, _85945] : [-(c_Relation_Orefl__on(_85943, _85939, _85935)), c_Relation_Orefl__on(_85945, _85941, _85937), _85945 = _85943, _85941 = _85939, _85937 = _85935], (162 ^ _83868) ^ [_86204, _86206, _86208, _86210, _86212, _86214, _86216, _86218] : [-(c_Recdef_Oadm__wf(_86216, _86212, _86208, _86204)), c_Recdef_Oadm__wf(_86218, _86214, _86210, _86206), _86218 = _86216, _86214 = _86212, _86210 = _86208, _86206 = _86204], (184 ^ _83868) ^ [_86557, _86559, _86561, _86563] : [-(c_Wellfounded_OwfP(_86561, _86557)), c_Wellfounded_OwfP(_86563, _86559), _86563 = _86561, _86559 = _86557], (198 ^ _83868) ^ [_86750, _86752, _86754, _86756] : [-(c_Relation_Oantisym(_86754, _86750)), c_Relation_Oantisym(_86756, _86752), _86756 = _86754, _86752 = _86750], (212 ^ _83868) ^ [_86943, _86945, _86947, _86949] : [-(c_Wellfounded_Oacyclic(_86947, _86943)), c_Wellfounded_Oacyclic(_86949, _86945), _86949 = _86947, _86945 = _86943], (226 ^ _83868) ^ [_87136, _87138, _87140, _87142, _87144, _87146] : [-(c_Orderings_Oord__class_Oless(_87144, _87140, _87136)), c_Orderings_Oord__class_Oless(_87146, _87142, _87138), _87146 = _87144, _87142 = _87140, _87138 = _87136], (244 ^ _83868) ^ [_87405, _87407, _87409, _87411] : [-(c_Wellfounded_Owf(_87409, _87405)), c_Wellfounded_Owf(_87411, _87407), _87411 = _87409, _87407 = _87405], (258 ^ _83868) ^ [_87598, _87600, _87602, _87604] : [-(c_FunDef_Oreduction__pair(_87602, _87598)), c_FunDef_Oreduction__pair(_87604, _87600), _87604 = _87602, _87600 = _87598], (272 ^ _83868) ^ [_87791, _87793, _87795, _87797, _87799, _87801] : [-(c_Orderings_Oord__class_Oless__eq(_87799, _87795, _87791)), c_Orderings_Oord__class_Oless__eq(_87801, _87797, _87793), _87801 = _87799, _87797 = _87795, _87793 = _87791], (290 ^ _83868) ^ [_88060, _88062, _88064, _88066, _88068, _88070] : [-(c_Relation_Osingle__valued(_88068, _88064, _88060)), c_Relation_Osingle__valued(_88070, _88066, _88062), _88070 = _88068, _88066 = _88064, _88062 = _88060], (308 ^ _83868) ^ [_88329, _88331] : [-(class_Orderings_Olinorder(_88329)), _88331 = _88329, class_Orderings_Olinorder(_88331)], (318 ^ _83868) ^ [_88454, _88456] : [-(class_Lattices_Osemilattice__inf(_88454)), _88456 = _88454, class_Lattices_Osemilattice__inf(_88456)], (328 ^ _83868) ^ [_88579, _88581] : [-(class_Orderings_Opreorder(_88579)), _88581 = _88579, class_Orderings_Opreorder(_88581)], (338 ^ _83868) ^ [_88704, _88706] : [-(class_Lattices_Olattice(_88704)), _88706 = _88704, class_Lattices_Olattice(_88706)], (348 ^ _83868) ^ [_88829, _88831] : [-(class_Orderings_Oorder(_88829)), _88831 = _88829, class_Orderings_Oorder(_88831)], (358 ^ _83868) ^ [_88954, _88956] : [-(class_Orderings_Oord(_88954)), _88956 = _88954, class_Orderings_Oord(_88956)], (368 ^ _83868) ^ [_89075, _89077] : [-(hBOOL(_89075)), _89077 = _89075, hBOOL(_89077)], (378 ^ _83868) ^ [_89276, _89278, _89280, _89282] : [-(c_Arrow__Order__Mirabelle_Omktop(_89282, _89278) = c_Arrow__Order__Mirabelle_Omktop(_89280, _89276)), _89282 = _89280, _89278 = _89276], (388 ^ _83868) ^ [_89425, _89427, _89429, _89431] : [-(c_Arrow__Order__Mirabelle_Omkbot(_89431, _89427) = c_Arrow__Order__Mirabelle_Omkbot(_89429, _89425)), _89431 = _89429, _89427 = _89425], (398 ^ _83868) ^ [_89574, _89576, _89578, _89580, _89582, _89584] : [-(c_Arrow__Order__Mirabelle_Oabove(_89584, _89580, _89576) = c_Arrow__Order__Mirabelle_Oabove(_89582, _89578, _89574)), _89584 = _89582, _89580 = _89578, _89576 = _89574], (412 ^ _83868) ^ [_89795, _89797, _89799, _89801, _89803, _89805, _89807, _89809, _89811, _89813] : [-(c_Product__Type_Oprod_Oprod__rec(_89813, _89809, _89805, _89801, _89797) = c_Product__Type_Oprod_Oprod__rec(_89811, _89807, _89803, _89799, _89795)), _89813 = _89811, _89809 = _89807, _89805 = _89803, _89801 = _89799, _89797 = _89795], (434 ^ _83868) ^ [_90184, _90186, _90188, _90190, _90192, _90194, _90196, _90198, _90200, _90202, _90204, _90206] : [-(c_FuncSet_Ocompose(_90206, _90202, _90198, _90194, _90190, _90186) = c_FuncSet_Ocompose(_90204, _90200, _90196, _90192, _90188, _90184)), _90206 = _90204, _90202 = _90200, _90198 = _90196, _90194 = _90192, _90190 = _90188, _90186 = _90184], (460 ^ _83868) ^ [_90669, _90671, _90673, _90675, _90677, _90679, _90681, _90683, _90685, _90687, _90689, _90691] : [-(c_Product__Type_Ocurry(_90691, _90687, _90683, _90679, _90675, _90671) = c_Product__Type_Ocurry(_90689, _90685, _90681, _90677, _90673, _90669)), _90691 = _90689, _90687 = _90685, _90683 = _90681, _90679 = _90677, _90675 = _90673, _90671 = _90669], (486 ^ _83868) ^ [_91154, _91156, _91158, _91160, _91162, _91164, _91166, _91168] : [-(c_Nitpick_Owf__wfrec(_91168, _91164, _91160, _91156) = c_Nitpick_Owf__wfrec(_91166, _91162, _91158, _91154)), _91168 = _91166, _91164 = _91162, _91160 = _91158, _91156 = _91154], (504 ^ _83868) ^ [_91455, _91457, _91459, _91461, _91463, _91465, _91467, _91469] : [-(c_FuncSet_Orestrict(_91469, _91465, _91461, _91457) = c_FuncSet_Orestrict(_91467, _91463, _91459, _91455)), _91469 = _91467, _91465 = _91463, _91461 = _91459, _91457 = _91455], (522 ^ _83868) ^ [_91756, _91758] : [_91758 = _91756, -(c_HOL_Oundefined(_91758) = c_HOL_Oundefined(_91756))], (528 ^ _83868) ^ [_91841, _91843, _91845, _91847, _91849, _91851, _91853, _91855] : [-(c_FuncSet_Oextensional__funcset(_91855, _91851, _91847, _91843) = c_FuncSet_Oextensional__funcset(_91853, _91849, _91845, _91841)), _91855 = _91853, _91851 = _91849, _91847 = _91845, _91843 = _91841], (546 ^ _83868) ^ [_92142, _92144, _92146, _92148, _92150, _92152, _92154, _92156, _92158, _92160] : [-(c_Nitpick_Owf__wfrec_H(_92160, _92156, _92152, _92148, _92144) = c_Nitpick_Owf__wfrec_H(_92158, _92154, _92150, _92146, _92142)), _92160 = _92158, _92156 = _92154, _92152 = _92150, _92148 = _92146, _92144 = _92142], (568 ^ _83868) ^ [_92531, _92533, _92535, _92537, _92539, _92541, _92543, _92545, _92547, _92549] : [-(c_Nitpick_Owfrec_H(_92549, _92545, _92541, _92537, _92533) = c_Nitpick_Owfrec_H(_92547, _92543, _92539, _92535, _92531)), _92549 = _92547, _92545 = _92543, _92541 = _92539, _92537 = _92535, _92533 = _92531], (590 ^ _83868) ^ [_92920, _92922, _92924, _92926, _92928, _92930, _92932, _92934, _92936, _92938] : [-(c_Fun_Ofun__upd(_92938, _92934, _92930, _92926, _92922) = c_Fun_Ofun__upd(_92936, _92932, _92928, _92924, _92920)), _92938 = _92936, _92934 = _92932, _92930 = _92928, _92926 = _92924, _92922 = _92920], (612 ^ _83868) ^ [_93309, _93311, _93313, _93315] : [-(c_Recdef_Ocut(_93315, _93311) = c_Recdef_Ocut(_93313, _93309)), _93315 = _93313, _93311 = _93309], (622 ^ _83868) ^ [_93458, _93460, _93462, _93464, _93466, _93468, _93470, _93472] : [-(c_Recdef_Owfrec(_93472, _93468, _93464, _93460) = c_Recdef_Owfrec(_93470, _93466, _93462, _93458)), _93472 = _93470, _93468 = _93466, _93464 = _93462, _93460 = _93458], (640 ^ _83868) ^ [_93759, _93761, _93763, _93765, _93767, _93769, _93771, _93773] : [-(c_Recdef_Osame__fst(_93773, _93769, _93765, _93761) = c_Recdef_Osame__fst(_93771, _93767, _93763, _93759)), _93773 = _93771, _93769 = _93767, _93765 = _93763, _93761 = _93759], (658 ^ _83868) ^ [_94060, _94062, _94064, _94066, _94068, _94070, _94072, _94074, _94076, _94078] : [-(c_Recdef_Owfrec__rel(_94078, _94074, _94070, _94066, _94062) = c_Recdef_Owfrec__rel(_94076, _94072, _94068, _94064, _94060)), _94078 = _94076, _94074 = _94072, _94070 = _94068, _94066 = _94064, _94062 = _94060], (680 ^ _83868) ^ [_94449, _94451, _94453, _94455] : [-(c_Transitive__Closure_Otranclp(_94455, _94451) = c_Transitive__Closure_Otranclp(_94453, _94449)), _94455 = _94453, _94451 = _94449], (690 ^ _83868) ^ [_94598, _94600, _94602, _94604, _94606, _94608] : [-(c_FunDef_Oin__rel(_94608, _94604, _94600) = c_FunDef_Oin__rel(_94606, _94602, _94598)), _94608 = _94606, _94604 = _94602, _94600 = _94598], (704 ^ _83868) ^ [_94819, _94821, _94823, _94825, _94827, _94829, _94831, _94833, _94835, _94837] : [-(c_Fun_Othe__inv__into(_94837, _94833, _94829, _94825, _94821) = c_Fun_Othe__inv__into(_94835, _94831, _94827, _94823, _94819)), _94837 = _94835, _94833 = _94831, _94829 = _94827, _94825 = _94823, _94821 = _94819], (726 ^ _83868) ^ [_95208, _95210, _95212, _95214] : [-(c_HOL_OThe(_95214, _95210) = c_HOL_OThe(_95212, _95208)), _95214 = _95212, _95210 = _95208], (736 ^ _83868) ^ [_95357, _95359] : [_95359 = _95357, -(c_Wellfounded_Omeasure(_95359) = c_Wellfounded_Omeasure(_95357))], (742 ^ _83868) ^ [_95442, _95444, _95446, _95448, _95450, _95452, _95454, _95456, _95458, _95460, _95462, _95464] : [-(c_Fun_Ooverride__on(_95464, _95460, _95456, _95452, _95448, _95444) = c_Fun_Ooverride__on(_95462, _95458, _95454, _95450, _95446, _95442)), _95464 = _95462, _95460 = _95458, _95456 = _95454, _95452 = _95450, _95448 = _95446, _95444 = _95442], (768 ^ _83868) ^ [_95927, _95929, _95931, _95933, _95935, _95937] : [-(c_Wellfounded_Omlex__prod(_95937, _95933, _95929) = c_Wellfounded_Omlex__prod(_95935, _95931, _95927)), _95937 = _95935, _95933 = _95931, _95929 = _95927], (782 ^ _83868) ^ [_96148, _96150] : [_96150 = _96148, -(c_Relation_OId(_96150) = c_Relation_OId(_96148))], (788 ^ _83868) ^ [_96233, _96235, _96237, _96239] : [-(c_Relation_OId__on(_96239, _96235) = c_Relation_OId__on(_96237, _96233)), _96239 = _96237, _96235 = _96233], (798 ^ _83868) ^ [_96382, _96384, _96386, _96388, _96390, _96392, _96394, _96396] : [-(c_FuncSet_OPi(_96396, _96392, _96388, _96384) = c_FuncSet_OPi(_96394, _96390, _96386, _96382)), _96396 = _96394, _96392 = _96390, _96388 = _96386, _96384 = _96382], (816 ^ _83868) ^ [_96683, _96685, _96687, _96689] : [-(c_Wellfounded_Oacc(_96689, _96685) = c_Wellfounded_Oacc(_96687, _96683)), _96689 = _96687, _96685 = _96683], (826 ^ _83868) ^ [_96832, _96834, _96836, _96838] : [-(c_Wellfounded_Oaccp(_96838, _96834) = c_Wellfounded_Oaccp(_96836, _96832)), _96838 = _96836, _96834 = _96832], (836 ^ _83868) ^ [_96981, _96983, _96985, _96987] : [-(c_Transitive__Closure_Ortranclp(_96987, _96983) = c_Transitive__Closure_Ortranclp(_96985, _96981)), _96987 = _96985, _96983 = _96981], (846 ^ _83868) ^ [_97130, _97132, _97134, _97136, _97138, _97140] : [-(c_FuncSet_Oextensional(_97140, _97136, _97132) = c_FuncSet_Oextensional(_97138, _97134, _97130)), _97140 = _97138, _97136 = _97134, _97132 = _97130], (860 ^ _83868) ^ [_97351, _97353, _97355, _97357, _97359, _97361] : [-(c_Relation_ODomain(_97361, _97357, _97353) = c_Relation_ODomain(_97359, _97355, _97351)), _97361 = _97359, _97357 = _97355, _97353 = _97351], (874 ^ _83868) ^ [_97572, _97574, _97576, _97578, _97580, _97582] : [-(c_Lattices_Osemilattice__inf__class_Oinf(_97582, _97578, _97574) = c_Lattices_Osemilattice__inf__class_Oinf(_97580, _97576, _97572)), _97582 = _97580, _97578 = _97576, _97574 = _97572], (888 ^ _83868) ^ [_97793, _97795, _97797, _97799, _97801, _97803] : [-(c_Relation_ORange(_97803, _97799, _97795) = c_Relation_ORange(_97801, _97797, _97793)), _97803 = _97801, _97799 = _97797, _97795 = _97793], (902 ^ _83868) ^ [_98014, _98016, _98018, _98020, _98022, _98024, _98026, _98028] : [-(c_Wellfounded_Olex__prod(_98028, _98024, _98020, _98016) = c_Wellfounded_Olex__prod(_98026, _98022, _98018, _98014)), _98028 = _98026, _98024 = _98022, _98020 = _98018, _98016 = _98014], (920 ^ _83868) ^ [_98315, _98317, _98319, _98321, _98323, _98325] : [-(c_Set_Oinsert(_98325, _98321, _98317) = c_Set_Oinsert(_98323, _98319, _98315)), _98325 = _98323, _98321 = _98319, _98317 = _98315], (934 ^ _83868) ^ [_98536, _98538, _98540, _98542] : [-(c_Wellfounded_Omin__ext(_98542, _98538) = c_Wellfounded_Omin__ext(_98540, _98536)), _98542 = _98540, _98538 = _98536], (944 ^ _83868) ^ [_98685, _98687, _98689, _98691] : [-(c_FunDef_Orp__inv__image(_98691, _98687) = c_FunDef_Orp__inv__image(_98689, _98685)), _98691 = _98689, _98687 = _98685], (954 ^ _83868) ^ [_98834, _98836, _98838, _98840] : [-(c_Relation_Oinv__image(_98840, _98836) = c_Relation_Oinv__image(_98838, _98834)), _98840 = _98838, _98836 = _98834], (964 ^ _83868) ^ [_98983, _98985, _98987, _98989] : [-(c_Transitive__Closure_Otrancl(_98989, _98985) = c_Transitive__Closure_Otrancl(_98987, _98983)), _98989 = _98987, _98985 = _98983], (974 ^ _83868) ^ [_99132, _99134, _99136, _99138] : [-(c_Transitive__Closure_Ortrancl(_99138, _99134) = c_Transitive__Closure_Ortrancl(_99136, _99132)), _99138 = _99136, _99134 = _99132], (984 ^ _83868) ^ [_99281, _99283, _99285, _99287, _99289, _99291] : [-(c_Product__Type_Ointernal__split(_99291, _99287, _99283) = c_Product__Type_Ointernal__split(_99289, _99285, _99281)), _99291 = _99289, _99287 = _99285, _99283 = _99281], (998 ^ _83868) ^ [_99502, _99504, _99506, _99508, _99510, _99512] : [-(c_Product__Type_Oprod_Oprod__case(_99512, _99508, _99504) = c_Product__Type_Oprod_Oprod__case(_99510, _99506, _99502)), _99512 = _99510, _99508 = _99506, _99504 = _99502], (1012 ^ _83868) ^ [_99723, _99725, _99727, _99729, _99731, _99733, _99735, _99737, _99739, _99741] : [-(c_Relation_Orel__comp(_99741, _99737, _99733, _99729, _99725) = c_Relation_Orel__comp(_99739, _99735, _99731, _99727, _99723)), _99741 = _99739, _99737 = _99735, _99733 = _99731, _99729 = _99727, _99725 = _99723], (1034 ^ _83868) ^ [_100112, _100114, _100116, _100118] : [-(tc_fun(_100118, _100114) = tc_fun(_100116, _100112)), _100118 = _100116, _100114 = _100112], (1044 ^ _83868) ^ [_100261, _100263] : [_100263 = _100261, -(c_COMBI(_100263) = c_COMBI(_100261))], (1050 ^ _83868) ^ [_100346, _100348, _100350, _100352, _100354, _100356] : [-(c_COMBK(_100356, _100352, _100348) = c_COMBK(_100354, _100350, _100346)), _100356 = _100354, _100352 = _100350, _100348 = _100346], (1064 ^ _83868) ^ [_100567, _100569, _100571, _100573, _100575, _100577] : [-(c_COMBB(_100577, _100573, _100569) = c_COMBB(_100575, _100571, _100567)), _100577 = _100575, _100573 = _100571, _100569 = _100567], (1078 ^ _83868) ^ [_100788, _100790, _100792, _100794, _100796, _100798] : [-(c_COMBC(_100798, _100794, _100790) = c_COMBC(_100796, _100792, _100788)), _100798 = _100796, _100794 = _100792, _100790 = _100788], (1092 ^ _83868) ^ [_101009, _101011, _101013, _101015, _101017, _101019] : [-(c_COMBS(_101019, _101015, _101011) = c_COMBS(_101017, _101013, _101009)), _101019 = _101017, _101015 = _101013, _101011 = _101009], (1106 ^ _83868) ^ [_101230, _101232] : [_101232 = _101230, -(c_member(_101232) = c_member(_101230))], (1112 ^ _83868) ^ [_101315, _101317, _101319, _101321] : [-(tc_prod(_101321, _101317) = tc_prod(_101319, _101315)), _101321 = _101319, _101317 = _101315], (1122 ^ _83868) ^ [_101464, _101466, _101468, _101470] : [-(c_Product__Type_OPair(_101470, _101466) = c_Product__Type_OPair(_101468, _101464)), _101470 = _101468, _101466 = _101464], (1132 ^ _83868) ^ [_101609, _101611, _101613, _101615] : [-(hAPP(_101615, _101611) = hAPP(_101613, _101609)), _101615 = _101613, _101611 = _101609], (1142 ^ _83868) ^ [_102017, _102019] : [hAPP(_102017, 1143 ^ [_102017, _102019]) = hAPP(_102019, 1143 ^ [_102017, _102019]), -(_102017 = _102019)], (1149 ^ _83868) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1151 ^ _83868) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1153 ^ _83868) ^ [] : [v_a____ = v_b____], (1155 ^ _83868) ^ [_102215] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _102215))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _102215))))], (1161 ^ _83868) ^ [_102306] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _102306))), 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c_Arrow__Order__Mirabelle_Omkbot(_102959, _102961)))), -(_102957 = _102961), 1206 ^ _83868 : [(1207 ^ _83868) ^ [] : [-(_102955 = _102961)], (1209 ^ _83868) ^ [] : [-(_102955 = _102957)]], 1210 ^ _83868 : [(1211 ^ _83868) ^ [] : [_102955 = _102961], (1213 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102955), _102957)), _102959))]]], (1181 ^ _83868) ^ [_102687, _102689, _102691, _102693] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102687), _102689)), c_Arrow__Order__Mirabelle_Omkbot(_102691, _102693))), 1184 ^ _83868 : [(1185 ^ _83868) ^ [] : [_102689 = _102693], (1187 ^ _83868) ^ [] : [_102687 = _102693, _102687 = _102689], (1193 ^ _83868) ^ [] : [-(_102687 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hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _103890)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _103890))))], (1259 ^ _83868) ^ [_104035] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_P_H____, _104035))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), 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[hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _104307)), v_c____), v_b____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _104307))))], (1277 ^ _83868) ^ [_104434] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _104434)), v_c____), v_b____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, 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hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _104579)), v_c____), v_b____))))], (1289 ^ _83868) ^ [_104742] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _104742)), v_c____), v_b____)), v_b____), v_a____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _104742)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], (1295 ^ _83868) ^ 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hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____)), c_Arrow__Order__Mirabelle_OProf)))], (1393 ^ _83868) ^ [_106613, _106615, _106617, _106619] : [_106613 = _106615, hBOOL(hAPP(hAPP(c_member(_106617), _106615), _106619)), -(hBOOL(hAPP(hAPP(c_member(_106617), _106613), _106619)))], (1403 ^ _83868) ^ [_106778, _106780, _106782, _106784] : [_106778 = _106780, 1406 ^ _83868 : [(1407 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106782), _106778), _106784)), -(hBOOL(hAPP(hAPP(c_member(_106782), _106780), _106784)))], (1413 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_106782), _106780), _106784)), -(hBOOL(hAPP(hAPP(c_member(_106782), _106778), _106784)))]]], (1419 ^ _83868) ^ [_107039, _107041, _107043, _107045] : [_107039 = _107041, 1422 ^ _83868 : [(1423 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_107043), _107045), _107039)), -(hBOOL(hAPP(hAPP(c_member(_107043), _107045), _107041)))], (1429 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_107043), _107045), _107041)), -(hBOOL(hAPP(hAPP(c_member(_107043), _107045), _107039)))]]], (1435 ^ _83868) ^ [_107318, _107320, _107322] : [hBOOL(hAPP(hAPP(c_member(_107318), _107320), _107322)), -(hBOOL(hAPP(_107322, _107320)))], (1441 ^ _83868) ^ [_107411, _107413, _107415] : [hBOOL(hAPP(_107415, _107413)), -(hBOOL(hAPP(hAPP(c_member(_107411), _107413), _107415)))], (1447 ^ _83868) ^ [_107509, _107511, _107513, _107515, _107517, _107519] : [-(_107509 = _107511), -(_107513 = _107515), -(_107509 = _107515), -(_107511 = _107513), hBOOL(hAPP(hAPP(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))), _107517), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(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))), _107519), c_Arrow__Order__Mirabelle_OProf)), 1475 ^ _83868 : [(1476 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107509), _107511)), hAPP(_107517, 1472 ^ [_107509, _107511, _107513, _107515, _107517, _107519]))))], (1478 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107513), _107515)), hAPP(_107519, 1472 ^ [_107509, _107511, _107513, _107515, _107517, _107519])))]], 1479 ^ _83868 : [(1480 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107513), _107515)), hAPP(_107519, 1472 ^ [_107509, _107511, _107513, _107515, _107517, _107519]))))], (1482 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107509), _107511)), hAPP(_107517, 1472 ^ [_107509, _107511, _107513, _107515, _107517, _107519])))]], hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107509), _107511)), hAPP(v_F, _107517))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107513), _107515)), hAPP(v_F, _107519))))], (1490 ^ _83868) ^ [_108417, _108419, _108421, _108423, _108425, _108427] : [-(_108417 = _108419), -(_108421 = _108423), -(_108417 = _108423), -(_108419 = _108421), hBOOL(hAPP(hAPP(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))), _108425), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(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))), _108427), c_Arrow__Order__Mirabelle_OProf)), 1518 ^ _83868 : [(1519 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108417), _108419)), hAPP(_108425, 1515 ^ [_108417, _108419, _108421, _108423, _108425, _108427]))))], (1521 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108421), _108423)), hAPP(_108427, 1515 ^ [_108417, _108419, _108421, _108423, _108425, _108427])))]], 1522 ^ _83868 : [(1523 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108421), _108423)), hAPP(_108427, 1515 ^ [_108417, _108419, _108421, _108423, _108425, _108427]))))], (1525 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108417), _108419)), hAPP(_108425, 1515 ^ [_108417, _108419, _108421, _108423, _108425, _108427])))]], 1526 ^ _83868 : [(1527 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108417), _108419)), hAPP(v_F, _108425))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108421), _108423)), hAPP(v_F, _108427))))], (1533 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108421), _108423)), hAPP(v_F, _108427))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108417), _108419)), hAPP(v_F, _108425))))]]], (1539 ^ _83868) ^ [_109461, _109463, _109465, _109467] : [hAPP(hAPP(c_COMBC(_109461, tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_fun(_109463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109463, tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_fun(_109463, tc_HOL_Obool)), _109461), c_COMBC(_109463, tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109463, tc_prod(_109461, _109463)), tc_fun(_109463, tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), _109461), hAPP(c_COMBB(tc_prod(_109461, _109463), tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool), _109463), c_member(tc_prod(_109461, _109463)))), c_Product__Type_OPair(_109461, _109463)))), _109465) = hAPP(hAPP(c_COMBC(_109461, tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_fun(_109463, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109463, tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_fun(_109463, tc_HOL_Obool)), _109461), c_COMBC(_109463, tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_109463, tc_prod(_109461, _109463)), tc_fun(_109463, tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool)), _109461), hAPP(c_COMBB(tc_prod(_109461, _109463), tc_fun(tc_fun(tc_prod(_109461, _109463), tc_HOL_Obool), tc_HOL_Obool), _109463), c_member(tc_prod(_109461, _109463)))), c_Product__Type_OPair(_109461, _109463)))), _109467), -(_109465 = _109467)], (1545 ^ _83868) ^ [_110010, _110012, _110014, _110016] : [_110014 = _110016, -(hAPP(hAPP(c_COMBC(_110010, tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_fun(_110012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_110012, tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_fun(_110012, tc_HOL_Obool)), _110010), c_COMBC(_110012, tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_110012, tc_prod(_110010, _110012)), tc_fun(_110012, tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), _110010), hAPP(c_COMBB(tc_prod(_110010, _110012), tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool), _110012), c_member(tc_prod(_110010, _110012)))), c_Product__Type_OPair(_110010, _110012)))), _110014) = hAPP(hAPP(c_COMBC(_110010, tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_fun(_110012, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_110012, tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_fun(_110012, tc_HOL_Obool)), _110010), c_COMBC(_110012, tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_110012, tc_prod(_110010, _110012)), tc_fun(_110012, tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool)), _110010), hAPP(c_COMBB(tc_prod(_110010, _110012), tc_fun(tc_fun(tc_prod(_110010, _110012), tc_HOL_Obool), tc_HOL_Obool), _110012), c_member(tc_prod(_110010, _110012)))), c_Product__Type_OPair(_110010, _110012)))), _110016))], (1551 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, 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))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, 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), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), 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_Arrow__Order__Mirabelle_OLin)))))], (1553 ^ _83868) ^ [_110595] : [c_Arrow__Order__Mirabelle_OIIA(_110595), 1556 ^ _83868 : [(1557 ^ _83868) ^ [_110764] : [hBOOL(hAPP(hAPP(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))), _110764), c_Arrow__Order__Mirabelle_OProf)), 1560 ^ _83868 : [(1561 ^ _83868) ^ [_110931] : [hBOOL(hAPP(hAPP(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))), _110931), c_Arrow__Order__Mirabelle_OProf)), 1564 ^ _83868 : [(1565 ^ _83868) ^ [_111084, _111086] : [1569 ^ _83868 : [(1570 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110764, 1566 ^ [_110595, _110764, _110931, _111084, _111086]))))], (1572 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110931, 1566 ^ [_110595, _110764, _110931, _111084, _111086])))]], 1573 ^ _83868 : [(1574 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110931, 1566 ^ [_110595, _110764, _110931, _111084, _111086]))))], (1576 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110764, 1566 ^ [_110595, _110764, _110931, _111084, _111086])))]], 1577 ^ _83868 : [(1578 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110595, _110764))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110595, _110931))))], (1584 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110595, _110931))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111086), _111084)), hAPP(_110595, _110764))))]]]]]]]]], (1590 ^ _83868) ^ [_111710] : [-(c_Arrow__Order__Mirabelle_OIIA(_111710)), 1592 ^ _83868 : [(1593 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(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))), 1591 ^ [_111710]), c_Arrow__Order__Mirabelle_OProf)))], (1596 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(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))), 1594 ^ [_111710]), c_Arrow__Order__Mirabelle_OProf)))], (1612 ^ _83868) ^ [] : [1613 ^ _83868 : [(1614 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(_111710, 1591 ^ [_111710]))))], (1616 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(_111710, 1594 ^ [_111710])))]], 1617 ^ _83868 : [(1618 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(_111710, 1594 ^ [_111710]))))], (1620 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(_111710, 1591 ^ [_111710])))]]], (1600 ^ _83868) ^ [_112282] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(1591 ^ [_111710], _112282))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(1594 ^ [_111710], _112282))))], (1606 ^ _83868) ^ [_112471] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(1594 ^ [_111710], _112471))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1597 ^ [_111710]), 1598 ^ [_111710])), hAPP(1591 ^ [_111710], _112471))))]]], (1639 ^ _83868) ^ [_113362] : [1641 ^ _83868 : [(1642 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(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))), 1640 ^ [_113362]), c_Arrow__Order__Mirabelle_OProf)))], (1646 ^ _83868) ^ [_113580] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1643 ^ [_113362]), 1644 ^ [_113362])), hAPP(1640 ^ [_113362], _113580))))], (1648 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1643 ^ [_113362]), 1644 ^ [_113362])), hAPP(_113362, 1640 ^ [_113362])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_113362))], (1624 ^ _83868) ^ [_112951] : [c_Arrow__Order__Mirabelle_Ounanimity(_112951), 1627 ^ _83868 : [(1628 ^ _83868) ^ [_113064] : [hBOOL(hAPP(hAPP(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))), _113064), c_Arrow__Order__Mirabelle_OProf)), 1631 ^ _83868 : [(1632 ^ _83868) ^ [_113175, _113177] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113177), _113175)), hAPP(_113064, 1633 ^ [_112951, _113064, _113175, _113177]))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113177), _113175)), hAPP(_112951, _113064))))]]]]], (1652 ^ _83868) ^ [_113747, _113749, _113751, _113753, _113755, _113757, _113759, _113761] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_113747, _113749), tc_prod(_113747, _113749))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_113747, _113749), tc_prod(_113747, _113749)), hAPP(hAPP(c_Product__Type_OPair(_113747, _113749), _113751), _113753)), hAPP(hAPP(c_Product__Type_OPair(_113747, _113749), _113755), _113757))), c_Wellfounded_Olex__prod(_113747, _113749, _113759, _113761))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_113747, _113747)), hAPP(hAPP(c_Product__Type_OPair(_113747, _113747), _113751), _113755)), _113759))), 1659 ^ _83868 : [(1660 ^ _83868) ^ [] : [-(_113751 = _113755)], (1662 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_113749, _113749)), hAPP(hAPP(c_Product__Type_OPair(_113749, _113749), _113753), _113757)), _113761)))]]], (1664 ^ _83868) ^ [_114072, _114074, _114076, _114078, _114080, _114082, _114084, _114086] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_114072, _114074), tc_prod(_114072, _114074))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_114072, _114074), tc_prod(_114072, _114074)), hAPP(hAPP(c_Product__Type_OPair(_114072, _114074), _114076), _114078)), hAPP(hAPP(c_Product__Type_OPair(_114072, _114074), _114080), _114082))), c_Wellfounded_Olex__prod(_114072, _114074, _114084, _114086)))), 1665 ^ _83868 : [(1666 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114072, _114072)), hAPP(hAPP(c_Product__Type_OPair(_114072, _114072), _114076), _114080)), _114084))], (1668 ^ _83868) ^ [] : [_114076 = _114080, hBOOL(hAPP(hAPP(c_member(tc_prod(_114074, _114074)), hAPP(hAPP(c_Product__Type_OPair(_114074, _114074), _114078), _114082)), _114086))]]], (1686 ^ _83868) ^ [_114637, _114639] : [1688 ^ _83868 : [(1689 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(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))), 1687 ^ [_114637, _114639]), c_Arrow__Order__Mirabelle_OProf)))], (1691 ^ _83868) ^ [] : [hAPP(_114637, 1687 ^ [_114637, _114639]) = hAPP(1687 ^ [_114637, _114639], _114639)]], -(c_Arrow__Order__Mirabelle_Odictator(_114637, _114639))], (1676 ^ _83868) ^ [_114462, _114464] : [c_Arrow__Order__Mirabelle_Odictator(_114462, _114464), 1679 ^ _83868 : [(1680 ^ _83868) ^ [_114536] : [hBOOL(hAPP(hAPP(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))), _114536), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_114462, _114536) = hAPP(_114536, _114464))]]], (1695 ^ _83868) ^ [_114813, _114815, _114817, _114819, _114821] : [-(_114813 = _114815), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _114817), c_Arrow__Order__Mirabelle_OLin)), 1702 ^ _83868 : [(1735 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114821)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _114817), _114813), _114815)))), -(_114819 = _114821), 1742 ^ _83868 : [(1743 ^ _83868) ^ [] : [-(_114821 = _114813)], (1745 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114815)), _114817))]], 1746 ^ _83868 : [(1747 ^ _83868) ^ [] : [_114821 = _114813], (1749 ^ _83868) ^ [] : [1750 ^ _83868 : [(1751 ^ _83868) ^ [] : [-(_114819 = _114813)], (1753 ^ _83868) ^ [] : [_114821 = _114815], (1755 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114815), _114821)), _114817))]], 1756 ^ _83868 : [(1757 ^ _83868) ^ [] : [_114819 = _114813], (1759 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114821)), _114817))]]]]], (1703 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114821)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _114817), _114813), _114815))), 1706 ^ _83868 : [(1707 ^ _83868) ^ [] : [_114819 = _114821], (1709 ^ _83868) ^ [] : [_114821 = _114813, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114815)), _114817)))], (1715 ^ _83868) ^ [] : [-(_114821 = _114813), 1718 ^ _83868 : [(1729 ^ _83868) ^ [] : [-(_114819 = _114813), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114819), _114821)), _114817)))], (1719 ^ _83868) ^ [] : [_114819 = _114813, -(_114821 = _114815), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _114815), _114821)), _114817)))]]]]]]], (1763 ^ _83868) ^ [_115871] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _115871), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(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_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, _115871)), c_Arrow__Order__Mirabelle_OProf)))], (1769 ^ _83868) ^ [_115992, _115994, _115996] : [hAPP(hAPP(c_COMBC(_115992, tc_fun(_115992, tc_HOL_Obool), tc_HOL_Obool), c_member(_115992)), _115994) = hAPP(hAPP(c_COMBC(_115992, tc_fun(_115992, tc_HOL_Obool), tc_HOL_Obool), c_member(_115992)), _115996), -(_115994 = _115996)], (1775 ^ _83868) ^ [_116127, _116129, _116131] : [_116129 = _116131, -(hAPP(hAPP(c_COMBC(_116127, tc_fun(_116127, tc_HOL_Obool), tc_HOL_Obool), c_member(_116127)), _116129) = hAPP(hAPP(c_COMBC(_116127, tc_fun(_116127, tc_HOL_Obool), tc_HOL_Obool), c_member(_116127)), _116131))], (1781 ^ _83868) ^ [_116267, _116269, _116271] : [-(_116267 = _116269), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116271), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, _116271), _116267), _116269)), c_Arrow__Order__Mirabelle_OLin)))], (1791 ^ _83868) ^ [_116436, _116438] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116436), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omktop(_116436, _116438)), c_Arrow__Order__Mirabelle_OLin)))], (1797 ^ _83868) ^ [_116539, _116541] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116539), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omkbot(_116539, _116541)), c_Arrow__Order__Mirabelle_OLin)))], (1803 ^ _83868) ^ [_116660, _116662, _116664] : [hBOOL(hAPP(hAPP(c_member(_116660), _116662), hAPP(c_fequal, _116664))), -(_116662 = _116664)], (1809 ^ _83868) ^ [_116755, _116757, _116759] : [_116757 = _116759, -(hBOOL(hAPP(hAPP(c_member(_116755), _116757), hAPP(c_fequal, _116759))))], (1815 ^ _83868) ^ [_116856, _116858, _116860] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _116856), c_Arrow__Order__Mirabelle_OLin)), -(_116858 = _116860), 1822 ^ _83868 : [(1823 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116858), _116860)), _116856))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116860), _116858)), _116856)))], (1829 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116860), _116858)), _116856)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _116858), _116860)), _116856))]]], (1835 ^ _83868) ^ [_117158, _117160, _117162] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _117158), c_Arrow__Order__Mirabelle_OLin)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117160), _117162)), _117158)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117162), _117160)), _117158))], (1845 ^ _83868) ^ [_117346, _117348, _117350, _117352, _117354, _117356] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_117346, _117348)), _117350), c_FuncSet_OPi(_117346, _117348, _117352, _117354))), -(hBOOL(hAPP(hAPP(c_member(_117348), hAPP(_117350, _117356)), hAPP(_117354, _117356)))), hBOOL(hAPP(hAPP(c_member(_117346), _117356), _117352))], (1855 ^ _83868) ^ [_117564, _117566, _117568, _117570, _117572] : [-(_117564 = _117566), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _117568), c_Arrow__Order__Mirabelle_OLin)), 1862 ^ _83868 : [(1895 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117572)), c_Arrow__Order__Mirabelle_Oabove(_117568, _117564, _117566)))), -(_117570 = _117572), 1902 ^ _83868 : [(1903 ^ _83868) ^ [] : [-(_117570 = _117566)], (1905 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117564), _117572)), _117568))]], 1906 ^ _83868 : [(1907 ^ _83868) ^ [] : [_117570 = _117566], (1909 ^ _83868) ^ [] : [1910 ^ _83868 : [(1911 ^ _83868) ^ [] : [-(_117572 = _117566)], (1913 ^ _83868) ^ [] : [_117570 = _117564], (1915 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117564)), _117568))]], 1916 ^ _83868 : [(1917 ^ _83868) ^ [] : [_117572 = _117566], (1919 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117572)), _117568))]]]]], (1863 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117572)), c_Arrow__Order__Mirabelle_Oabove(_117568, _117564, _117566))), 1866 ^ _83868 : [(1867 ^ _83868) ^ [] : [_117570 = _117572], (1869 ^ _83868) ^ [] : [_117570 = _117566, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117564), _117572)), _117568)))], (1875 ^ _83868) ^ [] : [-(_117570 = _117566), 1878 ^ _83868 : [(1889 ^ _83868) ^ [] : [-(_117572 = _117566), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117572)), _117568)))], (1879 ^ _83868) ^ [] : [_117572 = _117566, -(_117570 = _117564), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _117570), _117564)), _117568)))]]]]]]], (1923 ^ _83868) ^ [_118607, _118609] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, 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))), _118607), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, 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), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), 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_Arrow__Order__Mirabelle_OLin)))), 1929 ^ _83868 : [(1930 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(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))), 1928 ^ [_118607, _118609]), c_Arrow__Order__Mirabelle_OProf)))], (1934 ^ _83868) ^ [] : [1931 ^ [_118607, _118609] = 1932 ^ [_118607, _118609]], (1936 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1931 ^ [_118607, _118609]), 1932 ^ [_118607, _118609])), hAPP(1928 ^ [_118607, _118609], _118609))))], (1938 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1931 ^ [_118607, _118609]), 1932 ^ [_118607, _118609])), hAPP(_118607, 1928 ^ [_118607, _118609])))]], -(c_Arrow__Order__Mirabelle_Odictator(_118607, _118609))], (1942 ^ _83868) ^ [_119137, _119139, _119141, _119143, _119145, _119147] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_119137, _119139)), _119141), c_FuncSet_OPi(_119137, _119139, _119143, c_COMBK(tc_fun(_119139, tc_HOL_Obool), _119137, _119145)))), hBOOL(hAPP(hAPP(c_member(_119137), _119147), _119143)), -(hBOOL(hAPP(hAPP(c_member(_119139), hAPP(_119141, _119147)), _119145)))], (1952 ^ _83868) ^ [_119360, _119362, _119364, _119366, _119368, _119370] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_119360, _119362)), _119364), c_FuncSet_OPi(_119360, _119362, _119366, _119368))), hBOOL(hAPP(hAPP(c_member(_119360), _119370), _119366)), -(hBOOL(hAPP(hAPP(c_member(_119362), hAPP(_119364, _119370)), hAPP(_119368, _119370))))], (1962 ^ _83868) ^ [_119575, _119577] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_119575, _119575)), c_COMBI(_119575)), c_FuncSet_OPi(_119575, _119575, _119577, c_COMBK(tc_fun(_119575, tc_HOL_Obool), _119575, _119577)))))], (1964 ^ _83868) ^ [_119623, _119625, _119627] : [-(_119623 = _119625), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _119627), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Oabove(_119627, _119623, _119625)), c_Arrow__Order__Mirabelle_OLin)))], (1974 ^ _83868) ^ [_119778, _119780] : [-(_119778 = _119780), 1978 ^ _83868 : [(1979 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1977 ^ [_119778, _119780]), c_Arrow__Order__Mirabelle_OLin)))], (1981 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _119778), _119780)), 1977 ^ [_119778, _119780])))]]], (1983 ^ _83868) ^ [_119896, _119898] : [c_Nitpick_Orefl_H(_119896, _119898), 1986 ^ _83868 : [(1987 ^ _83868) ^ [_119974] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119896, _119896)), hAPP(hAPP(c_Product__Type_OPair(_119896, _119896), _119974), _119974)), _119898)))]]], (1989 ^ _83868) ^ [_120016, _120018] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_120016, _120016)), hAPP(hAPP(c_Product__Type_OPair(_120016, _120016), 1990 ^ [_120016, _120018]), 1990 ^ [_120016, _120018])), _120018)), -(c_Nitpick_Orefl_H(_120016, _120018))], (2006 ^ _83868) ^ [_120454, _120456, _120458] : [2008 ^ _83868 : [(2009 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_120454, _120454)), hAPP(hAPP(c_Product__Type_OPair(_120454, _120454), 2007 ^ [_120454, _120456, _120458]), _120456)), _120458)))], (2011 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_120454), 2007 ^ [_120454, _120456, _120458]), c_Wellfounded_Oacc(_120454, _120458)))]], -(hBOOL(hAPP(hAPP(c_member(_120454), _120456), c_Wellfounded_Oacc(_120454, _120458))))], (1996 ^ _83868) ^ [_120201, _120203, _120205] : [hBOOL(hAPP(hAPP(c_member(_120201), _120203), c_Wellfounded_Oacc(_120201, _120205))), 1999 ^ _83868 : [(2000 ^ _83868) ^ [_120315] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_120201, _120201)), hAPP(hAPP(c_Product__Type_OPair(_120201, _120201), _120315), _120203)), _120205)), -(hBOOL(hAPP(hAPP(c_member(_120201), _120315), c_Wellfounded_Oacc(_120201, _120205))))]]], (2015 ^ _83868) ^ [_120694, _120696, _120698, _120700] : [hBOOL(hAPP(hAPP(c_member(_120694), _120696), c_Wellfounded_Oacc(_120694, _120698))), hBOOL(hAPP(hAPP(c_member(tc_prod(_120694, _120694)), hAPP(hAPP(c_Product__Type_OPair(_120694, _120694), _120700), _120696)), _120698)), -(hBOOL(hAPP(hAPP(c_member(_120694), _120700), c_Wellfounded_Oacc(_120694, _120698))))], (2025 ^ _83868) ^ [_120927, _120929, _120931] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_120927, hAPP(hAPP(c_COMBC(_120927, tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_fun(_120927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_120927, tc_fun(tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_fun(_120927, tc_HOL_Obool)), _120927), c_COMBC(_120927, tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_120927, tc_prod(_120927, _120927)), tc_fun(_120927, tc_fun(tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_HOL_Obool)), _120927), hAPP(c_COMBB(tc_prod(_120927, _120927), tc_fun(tc_fun(tc_prod(_120927, _120927), tc_HOL_Obool), tc_HOL_Obool), _120927), c_member(tc_prod(_120927, _120927)))), c_Product__Type_OPair(_120927, _120927)))), _120929)), _120931)), -(hBOOL(hAPP(hAPP(c_member(_120927), _120931), c_Wellfounded_Oacc(_120927, _120929))))], (2031 ^ _83868) ^ [_121268, _121270, _121272] : [hBOOL(hAPP(hAPP(c_member(_121268), _121272), c_Wellfounded_Oacc(_121268, _121270))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_121268, hAPP(hAPP(c_COMBC(_121268, tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_fun(_121268, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_121268, tc_fun(tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_fun(_121268, tc_HOL_Obool)), _121268), c_COMBC(_121268, tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_121268, tc_prod(_121268, _121268)), tc_fun(_121268, tc_fun(tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_HOL_Obool)), _121268), hAPP(c_COMBB(tc_prod(_121268, _121268), tc_fun(tc_fun(tc_prod(_121268, _121268), tc_HOL_Obool), tc_HOL_Obool), _121268), c_member(tc_prod(_121268, _121268)))), c_Product__Type_OPair(_121268, _121268)))), _121270)), _121272)))], (2037 ^ _83868) ^ [_121614, _121616, _121618] : [-(hBOOL(hAPP(hAPP(c_member(_121614), _121616), c_Wellfounded_Oacc(_121614, _121618)))), 2041 ^ _83868 : [(2042 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_121614, _121614)), hAPP(hAPP(c_Product__Type_OPair(_121614, _121614), 2040 ^ [_121614, _121616, _121618]), _121616)), _121618)))], (2044 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_121614), 2040 ^ [_121614, _121616, _121618]), c_Wellfounded_Oacc(_121614, _121618)))]]], (2046 ^ _83868) ^ [_121841, _121843, _121845] : [2048 ^ _83868 : [(2049 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_121841, _121841)), hAPP(hAPP(c_Product__Type_OPair(_121841, _121841), 2047 ^ [_121841, _121843, _121845]), _121843)), _121845)))], (2051 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_121841), 2047 ^ [_121841, _121843, _121845]), c_Wellfounded_Oacc(_121841, _121845)))]], -(hBOOL(hAPP(hAPP(c_member(_121841), _121843), c_Wellfounded_Oacc(_121841, _121845))))], (2055 ^ _83868) ^ [_122079, _122081, _122083, _122085, _122087] : [2057 ^ _83868 : [(2058 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122079), 2056 ^ [_122079, _122081, _122083, _122085, _122087]), _122081)))], (2060 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122083), hAPP(_122085, 2056 ^ [_122079, _122081, _122083, _122085, _122087])), hAPP(_122087, 2056 ^ [_122079, _122081, _122083, _122085, _122087])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122079, _122083)), _122085), c_FuncSet_OPi(_122079, _122083, _122081, _122087))))], (2064 ^ _83868) ^ [_122339, _122341, _122343, _122345, _122347] : [2066 ^ _83868 : [(2067 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122339), 2065 ^ [_122339, _122341, _122343, _122345, _122347]), _122341)))], (2069 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122343), hAPP(_122345, 2065 ^ [_122339, _122341, _122343, _122345, _122347])), _122347))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122339, _122343)), _122345), c_FuncSet_OPi(_122339, _122343, _122341, c_COMBK(tc_fun(_122343, tc_HOL_Obool), _122339, _122347)))))], (2073 ^ _83868) ^ [_122591, _122593, _122595, _122597, _122599] : [2075 ^ _83868 : [(2076 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122591), 2074 ^ [_122591, _122593, _122595, _122597, _122599]), _122593)))], (2078 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_122595), hAPP(_122597, 2074 ^ [_122591, _122593, _122595, _122597, _122599])), hAPP(_122599, 2074 ^ [_122591, _122593, _122595, _122597, _122599])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122591, _122595)), _122597), c_FuncSet_OPi(_122591, _122595, _122593, _122599))))], (2082 ^ _83868) ^ [_122851, _122853, _122855, _122857, _122859, _122861] : [2084 ^ _83868 : [(2085 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122851), 2083 ^ [_122851, _122853, _122855, _122857, _122859, _122861]), _122853)))], (2087 ^ _83868) ^ [] : [hAPP(_122855, 2083 ^ [_122851, _122853, _122855, _122857, _122859, _122861]) = hAPP(_122857, 2083 ^ [_122851, _122853, _122855, _122857, _122859, _122861])]], 2088 ^ _83868 : [(2089 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122851, _122859)), _122855), c_FuncSet_OPi(_122851, _122859, _122853, _122861))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122851, _122859)), _122857), c_FuncSet_OPi(_122851, _122859, _122853, _122861))))], (2095 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122851, _122859)), _122857), c_FuncSet_OPi(_122851, _122859, _122853, _122861))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122851, _122859)), _122855), c_FuncSet_OPi(_122851, _122859, _122853, _122861))))]]], (2101 ^ _83868) ^ [_123306, _123308, _123310, _123312, _123314, _123316, _123318, _123320] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123306, _123308)), _123310), c_FuncSet_OPi(_123306, _123308, _123312, c_COMBK(tc_fun(_123308, tc_HOL_Obool), _123306, _123314)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123308, _123316)), _123318), c_FuncSet_OPi(_123308, _123316, _123314, c_COMBK(tc_fun(_123316, tc_HOL_Obool), _123308, _123320)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123306, _123316)), c_FuncSet_Ocompose(_123306, _123308, _123316, _123312, _123318, _123310)), c_FuncSet_OPi(_123306, _123316, _123312, c_COMBK(tc_fun(_123316, tc_HOL_Obool), _123306, _123320)))))], (2111 ^ _83868) ^ [_123605, _123607, _123609, _123611, _123613, _123615, _123617, _123619, _123621, _123623, _123625] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123605, _123607)), _123609), c_FuncSet_OPi(_123605, _123607, _123611, c_COMBK(tc_fun(_123607, tc_HOL_Obool), _123605, _123613)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123607, _123615)), _123617), c_FuncSet_OPi(_123607, _123615, _123613, c_COMBK(tc_fun(_123615, tc_HOL_Obool), _123607, _123619)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123615, _123621)), _123623), c_FuncSet_OPi(_123615, _123621, _123619, c_COMBK(tc_fun(_123621, tc_HOL_Obool), _123615, _123625)))), -(c_FuncSet_Ocompose(_123605, _123615, _123621, _123611, _123623, c_FuncSet_Ocompose(_123605, _123607, _123615, _123611, _123617, _123609)) = c_FuncSet_Ocompose(_123605, _123607, _123621, _123611, c_FuncSet_Ocompose(_123607, _123615, _123621, _123613, _123623, _123617), _123609))], (2135 ^ _83868) ^ [_124232, _124234, _124236] : [2137 ^ _83868 : [(2138 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_124234, 2136 ^ [_124232, _124234, _124236]), _124236)))], (2140 ^ _83868) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_124232, _124234), 2136 ^ [_124232, _124234, _124236]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_124232, _124234), _124236)))], (2125 ^ _83868) ^ [_124046, _124048, _124050] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_124046, _124048), _124050)), 2128 ^ _83868 : [(2129 ^ _83868) ^ [_124131] : [hBOOL(hAPP(hAPP(_124048, _124131), _124050)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_124046, _124048), _124131)))]]], (2154 ^ _83868) ^ [_124622, _124624, _124626] : [2156 ^ _83868 : [(2157 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_124624, 2155 ^ [_124622, _124624, _124626]), _124626)))], (2159 ^ _83868) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_124622, _124624), 2155 ^ [_124622, _124624, _124626]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_124622, _124624), _124626)))], (2144 ^ _83868) ^ [_124436, _124438, _124440] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_124436, _124438), _124440)), 2147 ^ _83868 : [(2148 ^ _83868) ^ [_124521] : [hBOOL(hAPP(hAPP(_124438, _124521), _124440)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_124436, _124438), _124521)))]]], (2163 ^ _83868) ^ [_124808, _124810, _124812, _124814] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_124808, _124810), _124812)), hBOOL(hAPP(hAPP(_124810, _124814), _124812)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_124808, _124810), _124814)))], (2173 ^ _83868) ^ [_124975, _124977, _124979, _124981, _124983, _124985, _124987] : [hBOOL(hAPP(hAPP(c_member(_124975), _124977), _124979)), -(hAPP(c_FuncSet_Ocompose(_124975, _124981, _124983, _124979, _124985, _124987), _124977) = hAPP(_124985, hAPP(_124987, _124977)))], (2179 ^ _83868) ^ [_125108, _125110, _125112, _125114, _125116, _125118] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_125108, _125110)), c_FuncSet_Ocompose(_125108, _125112, _125110, _125114, _125116, _125118)), c_FuncSet_Oextensional(_125108, _125110, _125114))))], (2181 ^ _83868) ^ [_125162, _125164, _125166, _125168] : [hBOOL(hAPP(hAPP(c_member(_125162), _125164), c_Wellfounded_Oacc(_125162, _125166))), hBOOL(hAPP(hAPP(c_member(tc_prod(_125162, _125162)), hAPP(hAPP(c_Product__Type_OPair(_125162, _125162), _125168), _125164)), c_Transitive__Closure_Ortrancl(_125162, _125166))), -(hBOOL(hAPP(hAPP(c_member(_125162), _125168), c_Wellfounded_Oacc(_125162, _125166))))], (2191 ^ _83868) ^ [_125383, _125385, _125387, _125389] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125383, _125383)), hAPP(hAPP(c_Product__Type_OPair(_125383, _125383), _125385), _125387)), c_Transitive__Closure_Ortrancl(_125383, _125389))), hBOOL(hAPP(hAPP(c_member(_125383), _125387), c_Wellfounded_Oacc(_125383, _125389))), -(hBOOL(hAPP(hAPP(c_member(_125383), _125385), c_Wellfounded_Oacc(_125383, _125389))))], (2201 ^ _83868) ^ [_125631, _125633, _125635, _125637, _125639, _125641] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_125631, _125633, _125635, _125637, _125639), hAPP(hAPP(_125637, _125641), _125639))), 2205 ^ _83868 : [(2206 ^ _83868) ^ [] : [-(hAPP(hAPP(_125637, _125641), _125639) = hAPP(hAPP(_125637, 2204 ^ [_125631, _125633, _125635, _125637, _125639, _125641]), _125639))], (2208 ^ _83868) ^ [_125893] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125631, _125631)), hAPP(hAPP(c_Product__Type_OPair(_125631, _125631), _125893), _125639)), _125635)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_125631, _125633, _125635, _125637, _125893), hAPP(2204 ^ [_125631, _125633, _125635, _125637, _125639, _125641], _125893))))]]], (2214 ^ _83868) ^ [_126072, _126074, _126076, _126078, _126080, _126082] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_126072, _126074, _126076, _126078, _126080), hAPP(hAPP(_126078, _126082), _126080)))), 2215 ^ _83868 : [(2216 ^ _83868) ^ [_126187] : [hAPP(hAPP(_126078, _126082), _126080) = hAPP(hAPP(_126078, _126187), _126080), 2220 ^ _83868 : [(2221 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_126072, _126072)), hAPP(hAPP(c_Product__Type_OPair(_126072, _126072), 2219 ^ [_126072, _126074, _126076, _126078, _126080, _126082, _126187]), _126080)), _126076)))], (2223 ^ _83868) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_126072, _126074, _126076, _126078, 2219 ^ [_126072, _126074, _126076, _126078, _126080, _126082, _126187]), hAPP(_126187, 2219 ^ [_126072, _126074, _126076, _126078, _126080, _126082, _126187])))]]]]], (2227 ^ _83868) ^ [_126524, _126526, _126528, _126530, _126532, _126534] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_126528, _126528)), hAPP(hAPP(c_Product__Type_OPair(_126528, _126528), _126530), _126532)), _126524)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_126528, _126534), _126526), _126524), _126532), _126530) = hAPP(_126526, _126530))], (2243 ^ _83868) ^ [_126991, _126993, _126995, _126997, _126999, _127001] : [2245 ^ _83868 : [(2246 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_126991, _126991)), hAPP(hAPP(c_Product__Type_OPair(_126991, _126991), 2244 ^ [_126991, _126993, _126995, _126997, _126999, _127001]), _126999)), _126997)))], (2248 ^ _83868) ^ [] : [hAPP(_126995, 2244 ^ [_126991, _126993, _126995, _126997, _126999, _127001]) = hAPP(_127001, 2244 ^ [_126991, _126993, _126995, _126997, _126999, _127001])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_126991, _126993), _126995), _126997), _126999) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_126991, _126993), _127001), _126997), _126999))], (2233 ^ _83868) ^ [_126710, _126712, _126714, _126716, _126718, _126720] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_126710, _126712), _126714), _126716), _126718) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_126710, _126712), _126720), _126716), _126718), 2236 ^ _83868 : [(2237 ^ _83868) ^ [_126854] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_126710, _126710)), hAPP(hAPP(c_Product__Type_OPair(_126710, _126710), _126854), _126718)), _126716)), -(hAPP(_126714, _126854) = hAPP(_126720, _126854))]]], (2252 ^ _83868) ^ [_127284, _127286, _127288, _127290, _127292, _127294] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127284, _127284)), hAPP(hAPP(c_Product__Type_OPair(_127284, _127284), _127286), _127288)), _127290)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_127284, _127292), _127294), _127290), _127288), _127286) = hAPP(_127294, _127286))], (2259 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 2257 ^ []), c_Arrow__Order__Mirabelle_OLin)))], (2261 ^ _83868) ^ [_127491, _127493, _127495] : [hBOOL(hAPP(_127491, 2262 ^ [_127491, _127493, _127495])), 2265 ^ _83868 : [(2266 ^ _83868) ^ [_127602, _127604] : [-(hBOOL(hAPP(_127491, hAPP(hAPP(c_Product__Type_OPair(_127493, _127495), _127604), _127602))))]]], (2268 ^ _83868) ^ [_127638, _127640, _127642] : [hBOOL(hAPP(_127638, hAPP(hAPP(c_Product__Type_OPair(_127640, _127642), 2269 ^ [_127638, _127640, _127642]), 2270 ^ [_127638, _127640, _127642]))), 2273 ^ _83868 : [(2274 ^ _83868) ^ [_127785] : [-(hBOOL(hAPP(_127638, _127785)))]]], (2276 ^ _83868) ^ [_127816, _127818, _127820, _127822, _127824, _127826] : [hAPP(hAPP(c_Product__Type_OPair(_127816, _127818), _127820), _127822) = hAPP(hAPP(c_Product__Type_OPair(_127816, _127818), _127824), _127826), 2279 ^ _83868 : [(2280 ^ _83868) ^ [] : [-(_127820 = _127824)], (2282 ^ _83868) ^ [] : [-(_127822 = _127826)]]], (2284 ^ _83868) ^ [_127994, _127996, _127998, _128000, _128002, _128004] : [hAPP(hAPP(c_Product__Type_OPair(_127994, _127996), _127998), _128000) = hAPP(hAPP(c_Product__Type_OPair(_127994, _127996), _128002), _128004), 2287 ^ _83868 : [(2288 ^ _83868) ^ [] : [-(_127998 = _128002)], (2290 ^ _83868) ^ [] : [-(_128000 = _128004)]]], (2292 ^ _83868) ^ [_128137, _128139, _128141, _128143, _128145, _128147] : [-(hAPP(hAPP(c_Product__Type_OPair(_128137, _128139), _128141), _128143) = hAPP(hAPP(c_Product__Type_OPair(_128137, _128139), _128145), _128147)), _128141 = _128145, _128143 = _128147], (2302 ^ _83868) ^ [_128320, _128322, _128324] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_128320, _128320)), hAPP(hAPP(c_Product__Type_OPair(_128320, _128320), _128322), _128322)), c_Transitive__Closure_Ortrancl(_128320, _128324))))], (2304 ^ _83868) ^ [_128369, _128371, _128373] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128369, _128369)), _128371), _128373)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128369, _128369)), _128371), c_Transitive__Closure_Ortrancl(_128369, _128373))))], (2310 ^ _83868) ^ [_128494, _128496, _128498, _128500, _128502] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128494, _128494)), hAPP(hAPP(c_Product__Type_OPair(_128494, _128494), _128496), _128498)), c_Transitive__Closure_Ortrancl(_128494, _128500))), hBOOL(hAPP(hAPP(c_member(tc_prod(_128494, _128494)), hAPP(hAPP(c_Product__Type_OPair(_128494, _128494), _128498), _128502)), c_Transitive__Closure_Ortrancl(_128494, _128500))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128494, _128494)), hAPP(hAPP(c_Product__Type_OPair(_128494, _128494), _128496), _128502)), c_Transitive__Closure_Ortrancl(_128494, _128500))))], (2320 ^ _83868) ^ [_128767, _128769, _128771, _128773, _128775] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_128767, _128767)), hAPP(hAPP(c_Product__Type_OPair(_128767, _128767), _128769), _128771)), c_Transitive__Closure_Ortrancl(_128767, _128773))), hBOOL(hAPP(hAPP(c_member(tc_prod(_128767, _128767)), hAPP(hAPP(c_Product__Type_OPair(_128767, _128767), _128771), _128775)), _128773)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128767, _128767)), hAPP(hAPP(c_Product__Type_OPair(_128767, _128767), _128769), _128775)), c_Transitive__Closure_Ortrancl(_128767, _128773))))], (2330 ^ _83868) ^ [_129034, _129036, _129038, _129040, _129042] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_129034, _129034)), hAPP(hAPP(c_Product__Type_OPair(_129034, _129034), _129036), _129038)), _129040)), hBOOL(hAPP(hAPP(c_member(tc_prod(_129034, _129034)), hAPP(hAPP(c_Product__Type_OPair(_129034, _129034), _129038), _129042)), c_Transitive__Closure_Ortrancl(_129034, _129040))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_129034, _129034)), hAPP(hAPP(c_Product__Type_OPair(_129034, _129034), _129036), _129042)), c_Transitive__Closure_Ortrancl(_129034, _129040))))], (2340 ^ _83868) ^ [_129301, _129303, _129305, _129307, _129309, _129311] : [-(c_Product__Type_Oprod_Oprod__rec(_129301, _129303, _129305, _129307, hAPP(hAPP(c_Product__Type_OPair(_129301, _129303), _129309), _129311)) = hAPP(hAPP(_129307, _129309), _129311))], (2342 ^ _83868) ^ [_129355, _129357, _129359, _129361, _129363] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129355, _129357)), _129359), c_FuncSet_OPi(_129355, _129357, _129361, c_COMBK(tc_fun(_129357, tc_HOL_Obool), _129355, _129363)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_129355, _129357)), _129359), c_FuncSet_Oextensional(_129355, _129357, _129361))), -(c_FuncSet_Ocompose(_129355, _129357, _129357, _129361, c_FuncSet_Orestrict(_129357, _129357, c_COMBI(_129357), _129363), _129359) = _129359)], (2352 ^ _83868) ^ [_129596, _129598, _129600, _129602, _129604] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129596, _129598)), _129600), c_FuncSet_OPi(_129596, _129598, _129602, c_COMBK(tc_fun(_129598, tc_HOL_Obool), _129596, _129604)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_129596, _129598)), _129600), c_FuncSet_Oextensional(_129596, _129598, _129602))), -(c_FuncSet_Ocompose(_129596, _129596, _129598, _129602, _129600, c_FuncSet_Orestrict(_129596, _129596, c_COMBI(_129596), _129602)) = _129600)], (2362 ^ _83868) ^ [_129837, _129839, _129841, _129843, _129845, _129847] : [-(c_FuncSet_Ocompose(_129837, _129839, _129841, _129843, _129845, _129847) = c_FuncSet_Orestrict(_129837, _129841, hAPP(hAPP(c_COMBB(_129839, _129841, _129837), _129845), _129847), _129843))], (2364 ^ _83868) ^ [_129892, _129894, _129896, _129898] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_129892, _129894)), _129896), c_FuncSet_Oextensional(_129892, _129894, _129898))), -(c_FuncSet_Orestrict(_129892, _129894, _129896, _129898) = _129896)], (2370 ^ _83868) ^ [_130011, _130013, _130015, _130017] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_130011, _130013)), c_FuncSet_Orestrict(_130011, _130013, _130015, _130017)), c_FuncSet_Oextensional(_130011, _130013, _130017))))], (2372 ^ _83868) ^ [_130059, _130061] : [-(c_Transitive__Closure_Ortrancl(_130059, c_Transitive__Closure_Ortrancl(_130059, _130061)) = c_Transitive__Closure_Ortrancl(_130059, _130061))], (2374 ^ _83868) ^ [_130093, _130095, _130097, _130099, _130101] : [2376 ^ _83868 : [(2377 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_130093), 2375 ^ [_130093, _130095, _130097, _130099, _130101]), _130095)))], (2379 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_130097), hAPP(_130099, 2375 ^ [_130093, _130095, _130097, _130099, _130101])), hAPP(_130101, 2375 ^ [_130093, _130095, _130097, _130099, _130101])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_130093, _130097)), c_FuncSet_Orestrict(_130093, _130097, _130099, _130095)), c_FuncSet_OPi(_130093, _130097, _130095, _130101))))], (2383 ^ _83868) ^ [_130363, _130365, _130367, _130369] : [-(c_Recdef_Oadm__wf(_130363, _130365, _130367, hAPP(hAPP(c_COMBC(tc_fun(_130363, _130365), tc_fun(_130363, _130363), tc_fun(_130363, _130365)), hAPP(hAPP(c_COMBB(tc_fun(_130363, tc_fun(_130363, _130365)), tc_fun(tc_fun(_130363, _130363), tc_fun(_130363, _130365)), tc_fun(_130363, _130365)), c_COMBS(_130363, _130363, _130365)), hAPP(hAPP(c_COMBB(tc_fun(_130363, tc_fun(_130363, _130365)), tc_fun(_130363, tc_fun(_130363, _130365)), tc_fun(_130363, _130365)), hAPP(c_COMBB(tc_fun(_130363, _130365), tc_fun(_130363, _130365), _130363), _130369)), hAPP(hAPP(c_COMBC(tc_fun(_130363, _130365), tc_fun(tc_prod(_130363, _130363), tc_HOL_Obool), tc_fun(_130363, tc_fun(_130363, _130365))), c_Recdef_Ocut(_130363, _130365)), _130367)))), c_COMBI(_130363))))], (2385 ^ _83868) ^ [_130513, _130515, _130517, _130519, _130521] : [2387 ^ _83868 : [(2388 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_130513), 2386 ^ [_130513, _130515, _130517, _130519, _130521]), _130515)))], (2390 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_130517), hAPP(_130519, 2386 ^ [_130513, _130515, _130517, _130519, _130521])), _130521))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_130513, _130517)), c_FuncSet_Orestrict(_130513, _130517, _130519, _130515)), c_FuncSet_OPi(_130513, _130517, _130515, c_COMBK(tc_fun(_130517, tc_HOL_Obool), _130513, _130521)))))], (2394 ^ _83868) ^ [_130775, _130777, _130779, _130781, _130783] : [c_Relation_Osingle__valued(_130775, _130775, _130777), hBOOL(hAPP(hAPP(c_member(tc_prod(_130775, _130775)), hAPP(hAPP(c_Product__Type_OPair(_130775, _130775), _130779), _130781)), c_Transitive__Closure_Ortrancl(_130775, _130777))), hBOOL(hAPP(hAPP(c_member(tc_prod(_130775, _130775)), hAPP(hAPP(c_Product__Type_OPair(_130775, _130775), _130779), _130783)), c_Transitive__Closure_Ortrancl(_130775, _130777))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130775, _130775)), hAPP(hAPP(c_Product__Type_OPair(_130775, _130775), _130781), _130783)), c_Transitive__Closure_Ortrancl(_130775, _130777)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130775, _130775)), hAPP(hAPP(c_Product__Type_OPair(_130775, _130775), _130783), _130781)), c_Transitive__Closure_Ortrancl(_130775, _130777))))], (2412 ^ _83868) ^ [_131186, _131188, _131190, _131192, _131194, _131196] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131186, _131186)), hAPP(hAPP(c_Product__Type_OPair(_131186, _131186), _131188), _131190)), _131192)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_131186, _131194), _131196), _131192), _131190), _131188) = hAPP(_131196, _131188))], (2418 ^ _83868) ^ [_131339, _131341, _131343, _131345, _131347, _131349] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_131339, _131339)), hAPP(hAPP(c_Product__Type_OPair(_131339, _131339), _131341), _131343)), _131345))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_131339, _131347), _131349), _131345), _131343), _131341) = c_HOL_Oundefined(_131347))], (2424 ^ _83868) ^ [_131420, _131422, _131424, _131426] : [-(hBOOL(hAPP(hAPP(c_member(_131420), _131422), c_Relation_ODomain(_131420, _131420, _131424)))), 2427 ^ _83868 : [(2428 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131420, _131420)), hAPP(hAPP(c_Product__Type_OPair(_131420, _131420), _131422), _131426)), c_Transitive__Closure_Ortrancl(_131420, _131424))), -(_131422 = _131426)], (2434 ^ _83868) ^ [] : [_131422 = _131426, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_131420, _131420)), hAPP(hAPP(c_Product__Type_OPair(_131420, _131420), _131422), _131426)), c_Transitive__Closure_Ortrancl(_131420, _131424))))]]], (2440 ^ _83868) ^ [_131714, _131716, _131718, _131720, _131722, _131724] : [-(hAPP(hAPP(c_Product__Type_Ointernal__split(_131714, _131716, _131718), _131720), hAPP(hAPP(c_Product__Type_OPair(_131714, _131716), _131722), _131724)) = hAPP(hAPP(_131720, _131722), _131724))], (2442 ^ _83868) ^ [_131772, _131774, _131776, _131778, _131780, _131782] : [-(c_Product__Type_Ocurry(_131772, _131774, _131776, _131778, _131780, _131782) = hAPP(_131778, hAPP(hAPP(c_Product__Type_OPair(_131772, _131774), _131780), _131782)))], (2444 ^ _83868) ^ [_131824, _131826, _131828, _131830, _131832] : [hBOOL(hAPP(_131824, hAPP(hAPP(c_Product__Type_OPair(_131826, _131828), _131830), _131832))), -(hBOOL(c_Product__Type_Ocurry(_131826, _131828, tc_HOL_Obool, _131824, _131830, _131832)))], (2450 ^ _83868) ^ [_131941, _131943, _131945, _131947, _131949] : [hBOOL(c_Product__Type_Ocurry(_131941, _131943, tc_HOL_Obool, _131945, _131947, _131949)), -(hBOOL(hAPP(_131945, hAPP(hAPP(c_Product__Type_OPair(_131941, _131943), _131947), _131949))))], (2456 ^ _83868) ^ [_132058, _132060, _132062, _132064, _132066] : [hBOOL(c_Product__Type_Ocurry(_132058, _132060, tc_HOL_Obool, _132062, _132064, _132066)), -(hBOOL(hAPP(_132062, hAPP(hAPP(c_Product__Type_OPair(_132058, _132060), _132064), _132066))))], (2462 ^ _83868) ^ [_132175, _132177, _132179, _132181, _132183, _132185] : [-(c_Product__Type_Ocurry(_132175, _132177, _132179, _132181, _132183, _132185) = hAPP(_132181, hAPP(hAPP(c_Product__Type_OPair(_132175, _132177), _132183), _132185)))], (2464 ^ _83868) ^ [_132245, _132247, _132249, _132251, _132253] : [hBOOL(hAPP(hAPP(c_member(_132245), _132247), _132249)), -(hAPP(c_FuncSet_Orestrict(_132245, _132251, _132253, _132249), _132247) = hAPP(_132253, _132247))], (2470 ^ _83868) ^ [_132358, _132360, _132362, _132364, _132366] : [-(hBOOL(hAPP(hAPP(c_member(_132358), _132360), _132362))), -(hAPP(c_FuncSet_Orestrict(_132358, _132364, _132366, _132362), _132360) = c_HOL_Oundefined(_132364))], (2476 ^ _83868) ^ [_132437, _132439, _132441, _132443, _132445] : [hBOOL(hAPP(hAPP(c_member(_132437), _132439), _132441)), -(hAPP(c_FuncSet_Orestrict(_132437, _132443, _132445, _132441), _132439) = hAPP(_132445, _132439))], (2482 ^ _83868) ^ [_132550, _132552, _132554, _132556, _132558] : [-(hBOOL(hAPP(hAPP(c_member(_132550), _132552), _132554))), -(hAPP(c_FuncSet_Orestrict(_132550, _132556, _132558, _132554), _132552) = c_HOL_Oundefined(_132556))], (2488 ^ _83868) ^ [_132611, _132613, _132615, _132617, _132619] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_132611, _132613)), _132615), c_FuncSet_Oextensional(_132611, _132613, _132617))), -(hBOOL(hAPP(hAPP(c_member(_132611), _132619), _132617))), -(hAPP(_132615, _132619) = c_HOL_Oundefined(_132613))], (2498 ^ _83868) ^ [_132761, _132763, _132765, _132767, _132769] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_132761, _132763)), hAPP(hAPP(c_Product__Type_OPair(_132761, _132763), _132765), _132767)), _132769)), -(hBOOL(hAPP(hAPP(c_member(_132761), _132765), c_Relation_ODomain(_132761, _132763, _132769))))], (2504 ^ _83868) ^ [_132925, _132927, _132929, _132931] : [hBOOL(hAPP(hAPP(c_member(_132925), _132927), c_Relation_ODomain(_132925, _132929, _132931))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_132925, _132929)), hAPP(hAPP(c_Product__Type_OPair(_132925, _132929), _132927), 2507 ^ [_132925, _132927, _132929, _132931])), _132931)))], (2511 ^ _83868) ^ [_133078, _133080, _133082, _133084] : [2512 ^ _83868 : [(2513 ^ _83868) ^ [_133151] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133078, _133082)), hAPP(hAPP(c_Product__Type_OPair(_133078, _133082), _133080), _133151)), _133084))]], -(hBOOL(hAPP(hAPP(c_member(_133078), _133080), c_Relation_ODomain(_133078, _133082, _133084))))], (2517 ^ _83868) ^ [_133234, _133236, _133238, _133240, _133242, _133244] : [c_Relation_Osingle__valued(_133234, _133236, _133238), hBOOL(hAPP(hAPP(c_member(tc_prod(_133234, _133236)), hAPP(hAPP(c_Product__Type_OPair(_133234, _133236), _133240), _133242)), _133238)), hBOOL(hAPP(hAPP(c_member(tc_prod(_133234, _133236)), hAPP(hAPP(c_Product__Type_OPair(_133234, _133236), _133240), _133244)), _133238)), -(_133242 = _133244)], (2545 ^ _83868) ^ [_133909, _133911, _133913] : [2548 ^ _83868 : [(2549 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_133909, _133911)), hAPP(hAPP(c_Product__Type_OPair(_133909, _133911), 2546 ^ [_133909, _133911, _133913]), 2547 ^ [_133909, _133911, _133913])), _133913)))], (2552 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_133909, _133911)), hAPP(hAPP(c_Product__Type_OPair(_133909, _133911), 2546 ^ [_133909, _133911, _133913]), 2550 ^ [_133909, _133911, _133913])), _133913)))], (2554 ^ _83868) ^ [] : [2547 ^ [_133909, _133911, _133913] = 2550 ^ [_133909, _133911, _133913]]], -(c_Relation_Osingle__valued(_133909, _133911, _133913))], (2531 ^ _83868) ^ [_133535, _133537, _133539] : [c_Relation_Osingle__valued(_133535, _133537, _133539), 2534 ^ _83868 : [(2535 ^ _83868) ^ [_133656, _133658] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133535, _133537)), hAPP(hAPP(c_Product__Type_OPair(_133535, _133537), _133658), _133656)), _133539)), 2538 ^ _83868 : [(2539 ^ _83868) ^ [_133782] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_133535, _133537)), hAPP(hAPP(c_Product__Type_OPair(_133535, _133537), _133658), _133782)), _133539)), -(_133656 = _133782)]]]]], (2558 ^ _83868) ^ [_134300, _134302, _134304, _134306] : [c_Predicate_ODomainP(_134300, _134302, hAPP(hAPP(c_COMBC(_134300, tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_fun(_134302, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_134302, tc_fun(tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_fun(_134302, tc_HOL_Obool)), _134300), c_COMBC(_134302, tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_134302, tc_prod(_134300, _134302)), tc_fun(_134302, tc_fun(tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_HOL_Obool)), _134300), hAPP(c_COMBB(tc_prod(_134300, _134302), tc_fun(tc_fun(tc_prod(_134300, _134302), tc_HOL_Obool), tc_HOL_Obool), _134302), c_member(tc_prod(_134300, _134302)))), c_Product__Type_OPair(_134300, _134302)))), _134304), _134306), -(hBOOL(hAPP(hAPP(c_member(_134300), _134306), c_Relation_ODomain(_134300, _134302, _134304))))], (2564 ^ _83868) ^ [_134639, _134641, _134643, _134645] : [hBOOL(hAPP(hAPP(c_member(_134639), _134645), c_Relation_ODomain(_134639, _134641, _134643))), -(c_Predicate_ODomainP(_134639, _134641, hAPP(hAPP(c_COMBC(_134639, tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_fun(_134641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_134641, tc_fun(tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_fun(_134641, tc_HOL_Obool)), _134639), c_COMBC(_134641, tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_134641, tc_prod(_134639, _134641)), tc_fun(_134641, tc_fun(tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_HOL_Obool)), _134639), hAPP(c_COMBB(tc_prod(_134639, _134641), tc_fun(tc_fun(tc_prod(_134639, _134641), tc_HOL_Obool), tc_HOL_Obool), _134641), c_member(tc_prod(_134639, _134641)))), c_Product__Type_OPair(_134639, _134641)))), _134643), _134645))], (2570 ^ _83868) ^ [_135005, _135007, _135009, _135011] : [c_Recdef_Oadm__wf(_135005, _135007, _135009, _135011), 2573 ^ _83868 : [(2574 ^ _83868) ^ [_135134, _135136, _135138] : [2576 ^ _83868 : [(2577 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_135005, _135005)), hAPP(hAPP(c_Product__Type_OPair(_135005, _135005), 2575 ^ [_135005, _135007, _135009, _135011, _135134, _135136, _135138]), _135134)), _135009)))], (2579 ^ _83868) ^ [] : [hAPP(_135138, 2575 ^ [_135005, _135007, _135009, _135011, _135134, _135136, _135138]) = hAPP(_135136, 2575 ^ [_135005, _135007, _135009, _135011, _135134, _135136, _135138])]], -(hAPP(hAPP(_135011, _135138), _135134) = hAPP(hAPP(_135011, _135136), _135134))]]], (2583 ^ _83868) ^ [_135411, _135413, _135415, _135417] : [-(c_Recdef_Oadm__wf(_135411, _135413, _135415, _135417)), 2587 ^ _83868 : [(2594 ^ _83868) ^ [] : [hAPP(hAPP(_135417, 2584 ^ [_135411, _135413, _135415, _135417]), 2586 ^ [_135411, _135413, _135415, _135417]) = hAPP(hAPP(_135417, 2585 ^ [_135411, _135413, _135415, _135417]), 2586 ^ [_135411, _135413, _135415, _135417])], (2588 ^ _83868) ^ [_135628] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_135411, _135411)), hAPP(hAPP(c_Product__Type_OPair(_135411, _135411), _135628), 2586 ^ [_135411, _135413, _135415, _135417])), _135415)), -(hAPP(2584 ^ [_135411, _135413, _135415, _135417], _135628) = hAPP(2585 ^ [_135411, _135413, _135415, _135417], _135628))]]], (2598 ^ _83868) ^ [_135935, _135937, _135939, _135941, _135943, _135945] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_135935, _135937)), _135939), c_FuncSet_Oextensional__funcset(_135935, _135937, _135941, _135943))), -(hBOOL(hAPP(hAPP(c_member(_135935), _135945), _135941))), -(hAPP(_135939, _135945) = c_HOL_Oundefined(_135937))], (2608 ^ _83868) ^ [_136089, _136091, _136093, _136095, _136097] : [hBOOL(hAPP(hAPP(_136089, _136091), _136093)), -(c_Predicate_ODomainP(_136095, _136097, _136089, _136091))], (2614 ^ _83868) ^ [_136186, _136188, _136190, _136192, _136194, _136196] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_136186, _136188)), _136190), c_FuncSet_Oextensional__funcset(_136186, _136188, _136192, _136194))), hBOOL(hAPP(hAPP(c_member(_136186), _136196), _136192)), -(hBOOL(hAPP(hAPP(c_member(_136188), hAPP(_136190, _136196)), _136194)))], (2624 ^ _83868) ^ [_136410, _136412] : [c_Relation_Oirrefl(_136410, _136412), 2627 ^ _83868 : [(2628 ^ _83868) ^ [_136492] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136410, _136410)), hAPP(hAPP(c_Product__Type_OPair(_136410, _136410), _136492), _136492)), _136412))]]], (2630 ^ _83868) ^ [_136532, _136534] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_136532, _136532)), hAPP(hAPP(c_Product__Type_OPair(_136532, _136532), 2631 ^ [_136532, _136534]), 2631 ^ [_136532, _136534])), _136534))), -(c_Relation_Oirrefl(_136532, _136534))], (2637 ^ _83868) ^ [_136603, _136605, _136607, _136609] : [hBOOL(hAPP(hAPP(c_member(_136603), _136605), c_Relation_ODomain(_136603, _136607, _136609))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_136603, _136607)), hAPP(hAPP(c_Product__Type_OPair(_136603, _136607), _136605), 2640 ^ [_136603, _136605, _136607, _136609])), _136609)))], (2644 ^ _83868) ^ [_136764, _136766, _136768, _136770, _136772] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136764, _136766)), hAPP(hAPP(c_Product__Type_OPair(_136764, _136766), _136768), _136770)), _136772)), -(hBOOL(hAPP(hAPP(c_member(_136766), _136770), c_Relation_ORange(_136764, _136766, _136772))))], (2650 ^ _83868) ^ [_136928, _136930, _136932, _136934] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136928, _136928)), hAPP(hAPP(c_Product__Type_OPair(_136928, _136928), _136930), _136932)), c_Relation_OId__on(_136928, _136934))), 2653 ^ _83868 : [(2654 ^ _83868) ^ [] : [-(_136930 = _136932)], (2656 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_136928), _136930), _136934)))]]], (2658 ^ _83868) ^ [_137089, _137091, _137093, _137095] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_137089, _137089)), hAPP(hAPP(c_Product__Type_OPair(_137089, _137089), _137091), _137093)), c_Relation_OId__on(_137089, _137095)))), _137091 = _137093, hBOOL(hAPP(hAPP(c_member(_137089), _137091), _137095))], (2668 ^ _83868) ^ [_137286, _137288, _137290, _137292] : [_137286 = _137288, hBOOL(hAPP(hAPP(c_member(_137290), _137286), _137292)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_137290, _137290)), hAPP(hAPP(c_Product__Type_OPair(_137290, _137290), _137286), _137288)), c_Relation_OId__on(_137290, _137292))))], (2678 ^ _83868) ^ [_137481, _137483, _137485, _137487, _137489, _137491, _137493] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137481, _137483), tc_prod(_137481, _137483))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137481, _137483), tc_prod(_137481, _137483)), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137485), _137487)), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137489), _137491))), c_Transitive__Closure_Ortrancl(tc_prod(_137481, _137483), _137493))), -(hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137485), _137487) = hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137489), _137491)), 2687 ^ _83868 : [(2688 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137481, _137483), tc_prod(_137481, _137483))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137481, _137483), tc_prod(_137481, _137483)), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137485), _137487)), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), 2685 ^ [_137481, _137483, _137485, _137487, _137489, _137491, _137493]), 2686 ^ [_137481, _137483, _137485, _137487, _137489, _137491, _137493]))), _137493)))], (2690 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_137481, _137483), tc_prod(_137481, _137483))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_137481, _137483), tc_prod(_137481, _137483)), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), 2685 ^ [_137481, _137483, _137485, _137487, _137489, _137491, _137493]), 2686 ^ [_137481, _137483, _137485, _137487, _137489, _137491, _137493])), hAPP(hAPP(c_Product__Type_OPair(_137481, _137483), _137489), _137491))), c_Transitive__Closure_Ortrancl(tc_prod(_137481, _137483), _137493))))]]], (2692 ^ _83868) ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_138062, _138064), tc_prod(_138062, _138064))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_138062, _138064), tc_prod(_138062, _138064)), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), _138066), _138068)), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), _138070), _138072))), c_Transitive__Closure_Ortrancl(tc_prod(_138062, _138064), _138074))), hBOOL(hAPP(hAPP(_138076, _138070), _138072)), 2705 ^ _83868 : [(2706 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_138062, _138064), tc_prod(_138062, _138064))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_138062, _138064), tc_prod(_138062, _138064)), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), 2701 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]), 2702 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076])), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), 2703 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]), 2704 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]))), _138074)))], (2708 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_138062, _138064), tc_prod(_138062, _138064))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_138062, _138064), tc_prod(_138062, _138064)), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), 2703 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]), 2704 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076])), hAPP(hAPP(c_Product__Type_OPair(_138062, _138064), _138070), _138072))), c_Transitive__Closure_Ortrancl(tc_prod(_138062, _138064), _138074))))], (2710 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_138076, 2703 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]), 2704 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076])))], (2712 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_138076, 2701 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]), 2702 ^ [_138062, _138064, _138066, _138068, _138070, _138072, _138074, _138076]))]], -(hBOOL(hAPP(hAPP(_138076, _138066), _138068)))], (2716 ^ _83868) ^ [_139122, _139124] : [-(c_Relation_ORange(_139122, _139122, c_Relation_OId__on(_139122, _139124)) = _139124)], (2718 ^ _83868) ^ [_139154, _139156] : [-(c_Relation_ODomain(_139154, _139154, c_Relation_OId__on(_139154, _139156)) = _139156)], (2720 ^ _83868) ^ [_139186, _139188] : [-(c_Relation_Osingle__valued(_139186, _139186, c_Relation_OId__on(_139186, _139188)))], (2722 ^ _83868) ^ [_139236, _139238, _139240, _139242] : [hBOOL(hAPP(hAPP(c_member(_139236), _139238), c_Relation_ORange(_139240, _139236, _139242))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_139240, _139236)), hAPP(hAPP(c_Product__Type_OPair(_139240, _139236), 2725 ^ [_139236, _139238, _139240, _139242]), _139238)), _139242)))], (2729 ^ _83868) ^ [_139389, _139391, _139393, _139395] : [2730 ^ _83868 : [(2731 ^ _83868) ^ [_139462] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139393, _139389)), hAPP(hAPP(c_Product__Type_OPair(_139393, _139389), _139462), _139391)), _139395))]], -(hBOOL(hAPP(hAPP(c_member(_139389), _139391), c_Relation_ORange(_139393, _139389, _139395))))], (2735 ^ _83868) ^ [_139566, _139568, _139570, _139572] : [c_Predicate_ORangeP(_139566, _139568, hAPP(hAPP(c_COMBC(_139566, tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_fun(_139568, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_139568, tc_fun(tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_fun(_139568, tc_HOL_Obool)), _139566), c_COMBC(_139568, tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_139568, tc_prod(_139566, _139568)), tc_fun(_139568, tc_fun(tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_HOL_Obool)), _139566), hAPP(c_COMBB(tc_prod(_139566, _139568), tc_fun(tc_fun(tc_prod(_139566, _139568), tc_HOL_Obool), tc_HOL_Obool), _139568), c_member(tc_prod(_139566, _139568)))), c_Product__Type_OPair(_139566, _139568)))), _139570), _139572), -(hBOOL(hAPP(hAPP(c_member(_139568), _139572), c_Relation_ORange(_139566, _139568, _139570))))], (2741 ^ _83868) ^ [_139905, _139907, _139909, _139911] : [hBOOL(hAPP(hAPP(c_member(_139907), _139911), c_Relation_ORange(_139905, _139907, _139909))), -(c_Predicate_ORangeP(_139905, _139907, hAPP(hAPP(c_COMBC(_139905, tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_fun(_139907, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_139907, tc_fun(tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_fun(_139907, tc_HOL_Obool)), _139905), c_COMBC(_139907, tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_139907, tc_prod(_139905, _139907)), tc_fun(_139907, tc_fun(tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_HOL_Obool)), _139905), hAPP(c_COMBB(tc_prod(_139905, _139907), tc_fun(tc_fun(tc_prod(_139905, _139907), tc_HOL_Obool), tc_HOL_Obool), _139907), c_member(tc_prod(_139905, _139907)))), c_Product__Type_OPair(_139905, _139907)))), _139909), _139911))], (2747 ^ _83868) ^ [_140250, _140252, _140254] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_140250, _140250)), _140252), c_Relation_OId__on(_140250, _140254))), 2751 ^ _83868 : [(2752 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_140250), 2750 ^ [_140250, _140252, _140254]), _140254)))], (2754 ^ _83868) ^ [] : [-(_140252 = hAPP(hAPP(c_Product__Type_OPair(_140250, _140250), 2750 ^ [_140250, _140252, _140254]), 2750 ^ [_140250, _140252, _140254]))]]], (2756 ^ _83868) ^ [_140449, _140451, _140453, _140455] : [hBOOL(hAPP(hAPP(c_member(_140449), _140451), c_Relation_ORange(_140453, _140449, _140455))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_140453, _140449)), hAPP(hAPP(c_Product__Type_OPair(_140453, _140449), 2759 ^ [_140449, _140451, _140453, _140455]), _140451)), _140455)))], (2763 ^ _83868) ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_140610, _140612), tc_prod(_140610, _140612))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_140610, _140612), tc_prod(_140610, _140612)), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), _140614), _140616)), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), _140618), _140620))), c_Transitive__Closure_Ortrancl(tc_prod(_140610, _140612), _140622))), hBOOL(hAPP(hAPP(_140624, _140614), _140616)), 2774 ^ _83868 : [(2775 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_140610, _140612), tc_prod(_140610, _140612))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_140610, _140612), tc_prod(_140610, _140612)), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), _140614), _140616)), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), 2772 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]), 2773 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]))), c_Transitive__Closure_Ortrancl(tc_prod(_140610, _140612), _140622))))], (2779 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_140610, _140612), tc_prod(_140610, _140612))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_140610, _140612), tc_prod(_140610, _140612)), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), 2772 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]), 2773 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624])), hAPP(hAPP(c_Product__Type_OPair(_140610, _140612), 2776 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]), 2777 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]))), _140622)))], (2781 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_140624, 2772 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]), 2773 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624])))], (2783 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_140624, 2776 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]), 2777 ^ [_140610, _140612, _140614, _140616, _140618, _140620, _140622, _140624]))]], -(hBOOL(hAPP(hAPP(_140624, _140618), _140620)))], (2787 ^ _83868) ^ [_141740, _141742, _141744, _141746, _141748, _141750] : [2789 ^ _83868 : [(2790 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141740, _141740)), hAPP(hAPP(c_Product__Type_OPair(_141740, _141740), 2788 ^ [_141740, _141742, _141744, _141746, _141748, _141750]), _141742)), _141744)))], (2792 ^ _83868) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_141740, _141746, _141744, _141748, 2788 ^ [_141740, _141742, _141744, _141746, _141748, _141750]), hAPP(_141750, 2788 ^ [_141740, _141742, _141744, _141746, _141748, _141750])))]], -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_141740, _141746, _141744, _141748, _141742), hAPP(hAPP(_141748, _141750), _141742))))], (2796 ^ _83868) ^ [_142055, _142057, _142059, _142061, _142063, _142065] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_142055, _142057, _142059, _142061, _142063), _142065)), 2800 ^ _83868 : [(2801 ^ _83868) ^ [] : [-(_142065 = hAPP(hAPP(_142061, 2799 ^ [_142055, _142057, _142059, _142061, _142063, _142065]), _142063))], (2803 ^ _83868) ^ [_142293] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142055, _142055)), hAPP(hAPP(c_Product__Type_OPair(_142055, _142055), _142293), _142063)), _142059)), -(hBOOL(hAPP(c_Recdef_Owfrec__rel(_142055, _142057, _142059, _142061, _142293), hAPP(2799 ^ [_142055, _142057, _142059, _142061, _142063, _142065], _142293))))]]], (2809 ^ _83868) ^ [_142472, _142474, _142476, _142478, _142480, _142482] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_142472, _142474, _142476, _142478, _142480), _142482))), 2810 ^ _83868 : [(2811 ^ _83868) ^ [_142575] : [_142482 = hAPP(hAPP(_142478, _142575), _142480), 2815 ^ _83868 : [(2816 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_142472, _142472)), hAPP(hAPP(c_Product__Type_OPair(_142472, _142472), 2814 ^ [_142472, _142474, _142476, _142478, _142480, _142482, _142575]), _142480)), _142476)))], (2818 ^ _83868) ^ [] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_142472, _142474, _142476, _142478, 2814 ^ [_142472, _142474, _142476, _142478, _142480, _142482, _142575]), hAPP(_142575, 2814 ^ [_142472, _142474, _142476, _142478, _142480, _142482, _142575])))]]]]], (2822 ^ _83868) ^ [_142894, _142896, _142898, _142900, _142902] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_142894, _142896)), _142898), c_FuncSet_Oextensional(_142894, _142896, _142900))), hBOOL(hAPP(hAPP(c_member(tc_fun(_142894, _142896)), _142902), c_FuncSet_Oextensional(_142894, _142896, _142900))), 2832 ^ _83868 : [(2833 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_142894), 2831 ^ [_142894, _142896, _142898, _142900, _142902]), _142900)))], (2835 ^ _83868) ^ [] : [hAPP(_142898, 2831 ^ [_142894, _142896, _142898, _142900, _142902]) = hAPP(_142902, 2831 ^ [_142894, _142896, _142898, _142900, _142902])]], -(_142898 = _142902)], (2839 ^ _83868) ^ [_143275, _143277, _143279, _143281, _143283] : [hBOOL(hAPP(hAPP(_143275, _143277), _143279)), -(c_Predicate_ORangeP(_143281, _143283, _143275, _143279))], (2845 ^ _83868) ^ [_143393, _143395, _143397, _143399] : [c_Predicate_ORangeP(_143393, _143395, _143397, _143399), -(hBOOL(hAPP(hAPP(_143397, 2848 ^ [_143393, _143395, _143397, _143399]), _143399)))], (2852 ^ _83868) ^ [_143500, _143502, _143504, _143506] : [2853 ^ _83868 : [(2854 ^ _83868) ^ [_143550] : [hBOOL(hAPP(hAPP(_143504, _143550), _143506))]], -(c_Predicate_ORangeP(_143500, _143502, _143504, _143506))], (2858 ^ _83868) ^ [_143610, _143612, _143614] : [2861 ^ _83868 : [(2862 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143610, _143612)), hAPP(hAPP(c_Product__Type_OPair(_143610, _143612), 2859 ^ [_143610, _143612, _143614]), 2860 ^ [_143610, _143612, _143614])), _143614)))], (2865 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_143610, _143612)), hAPP(hAPP(c_Product__Type_OPair(_143610, _143612), 2859 ^ [_143610, _143612, _143614]), 2863 ^ [_143610, _143612, _143614])), _143614)))], (2867 ^ _83868) ^ [] : [2860 ^ [_143610, _143612, _143614] = 2863 ^ [_143610, _143612, _143614]]], -(c_Relation_Osingle__valued(_143610, _143612, _143614))], (2871 ^ _83868) ^ [_143978, _143980, _143982, _143984] : [-(c_FuncSet_Oextensional__funcset(_143978, _143980, _143982, _143984) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_143978, _143980), tc_HOL_Obool), c_FuncSet_OPi(_143978, _143980, _143982, c_COMBK(tc_fun(_143980, tc_HOL_Obool), _143978, _143984)), c_FuncSet_Oextensional(_143978, _143980, _143982)))], (2873 ^ _83868) ^ [_144038, _144040, _144042, _144044, _144046] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144038, _144038)), hAPP(hAPP(c_Product__Type_OPair(_144038, _144038), _144040), _144042)), c_Transitive__Closure_Ortrancl(_144038, _144044))), hBOOL(hAPP(_144046, _144040)), 2883 ^ _83868 : [(2884 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144038, _144038)), hAPP(hAPP(c_Product__Type_OPair(_144038, _144038), _144040), 2882 ^ [_144038, _144040, _144042, _144044, _144046])), c_Transitive__Closure_Ortrancl(_144038, _144044))))], (2887 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144038, _144038)), hAPP(hAPP(c_Product__Type_OPair(_144038, _144038), 2882 ^ [_144038, _144040, _144042, _144044, _144046]), 2885 ^ [_144038, _144040, _144042, _144044, _144046])), _144044)))], (2889 ^ _83868) ^ [] : [-(hBOOL(hAPP(_144046, 2882 ^ [_144038, _144040, _144042, _144044, _144046])))], (2891 ^ _83868) ^ [] : [hBOOL(hAPP(_144046, 2885 ^ [_144038, _144040, _144042, _144044, _144046]))]], -(hBOOL(hAPP(_144046, _144042)))], (2895 ^ _83868) ^ [_144649, _144651, _144653, _144655, _144657] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144649, _144649)), hAPP(hAPP(c_Product__Type_OPair(_144649, _144649), _144651), _144653)), c_Transitive__Closure_Ortrancl(_144649, _144655))), hBOOL(hAPP(_144657, _144653)), 2906 ^ _83868 : [(2907 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144649, _144649)), hAPP(hAPP(c_Product__Type_OPair(_144649, _144649), 2904 ^ [_144649, _144651, _144653, _144655, _144657]), 2905 ^ [_144649, _144651, _144653, _144655, _144657])), _144655)))], (2909 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_144649, _144649)), hAPP(hAPP(c_Product__Type_OPair(_144649, _144649), 2905 ^ [_144649, _144651, _144653, _144655, _144657]), _144653)), c_Transitive__Closure_Ortrancl(_144649, _144655))))], (2911 ^ _83868) ^ [] : [-(hBOOL(hAPP(_144657, 2905 ^ [_144649, _144651, _144653, _144655, _144657])))], (2913 ^ _83868) ^ [] : [hBOOL(hAPP(_144657, 2904 ^ [_144649, _144651, _144653, _144655, _144657]))]], -(hBOOL(hAPP(_144657, _144651)))], (2917 ^ _83868) ^ [_145229, _145231, _145233, _145235] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145229, _145229)), hAPP(hAPP(c_Product__Type_OPair(_145229, _145229), _145231), _145233)), c_Transitive__Closure_Ortrancl(_145229, _145235))), -(_145231 = _145233), 2925 ^ _83868 : [(2926 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145229, _145229)), hAPP(hAPP(c_Product__Type_OPair(_145229, _145229), _145231), 2924 ^ [_145229, _145231, _145233, _145235])), _145235)))], (2928 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145229, _145229)), hAPP(hAPP(c_Product__Type_OPair(_145229, _145229), 2924 ^ [_145229, _145231, _145233, _145235]), _145233)), c_Transitive__Closure_Ortrancl(_145229, _145235))))]]], (2930 ^ _83868) ^ [_145525, _145527, _145529, _145531] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145525, _145525)), hAPP(hAPP(c_Product__Type_OPair(_145525, _145525), _145527), _145529)), c_Transitive__Closure_Ortrancl(_145525, _145531))), -(_145527 = _145529), 2938 ^ _83868 : [(2939 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145525, _145525)), hAPP(hAPP(c_Product__Type_OPair(_145525, _145525), _145527), 2937 ^ [_145525, _145527, _145529, _145531])), c_Transitive__Closure_Ortrancl(_145525, _145531))))], (2941 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145525, _145525)), hAPP(hAPP(c_Product__Type_OPair(_145525, _145525), 2937 ^ [_145525, _145527, _145529, _145531]), _145529)), _145531)))]]], (2943 ^ _83868) ^ [_145821, _145823, _145825, _145827] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_145821, tc_HOL_Obool), _145823, _145825), _145827)), 2946 ^ _83868 : [(2947 ^ _83868) ^ [] : [-(hBOOL(hAPP(_145823, _145827)))], (2949 ^ _83868) ^ [] : [-(hBOOL(hAPP(_145825, _145827)))]]], (2951 ^ _83868) ^ [_145958, _145960, _145962, _145964] : [hBOOL(hAPP(_145958, _145960)), hBOOL(hAPP(_145962, _145960)), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_145964, tc_HOL_Obool), _145958, _145962), _145960)))], (2961 ^ _83868) ^ [_146121, _146123, _146125, _146127] : [hBOOL(hAPP(hAPP(c_member(_146121), _146123), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146121, tc_HOL_Obool), _146125, _146127))), 2964 ^ _83868 : [(2965 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146121), _146123), _146125)))], (2967 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_146121), _146123), _146127)))]]], (2969 ^ _83868) ^ [_146288, _146290, _146292, _146294] : [hBOOL(hAPP(hAPP(c_member(_146288), _146290), _146292)), hBOOL(hAPP(hAPP(c_member(_146288), _146290), _146294)), -(hBOOL(hAPP(hAPP(c_member(_146288), _146290), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146288, tc_HOL_Obool), _146292, _146294))))], (2979 ^ _83868) ^ [_146481, _146483, _146485, _146487] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146481, tc_HOL_Obool), _146483, _146485), _146487)), -(hBOOL(hAPP(_146485, _146487)))], (2985 ^ _83868) ^ [_146584, _146586, _146588, _146590] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146584, tc_HOL_Obool), _146586, _146588), _146590)), -(hBOOL(hAPP(_146586, _146590)))], (2991 ^ _83868) ^ [_146687, _146689, _146691, _146693] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146687, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146687, tc_HOL_Obool), _146689, _146691), _146693) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146687, tc_HOL_Obool), _146689, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146687, tc_HOL_Obool), _146691, _146693)))], (2993 ^ _83868) ^ [_146744, _146746, _146748, _146750] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146744, tc_HOL_Obool), _146746, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146744, tc_HOL_Obool), _146748, _146750)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146744, tc_HOL_Obool), _146748, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146744, tc_HOL_Obool), _146746, _146750)))], (2995 ^ _83868) ^ [_146801, _146803, _146805] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146801, tc_HOL_Obool), _146803, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146801, tc_HOL_Obool), _146803, _146805)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146801, tc_HOL_Obool), _146803, _146805))], (2997 ^ _83868) ^ [_146849, _146851, _146853] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146849, tc_HOL_Obool), _146851, _146853) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146849, tc_HOL_Obool), _146853, _146851))], (2999 ^ _83868) ^ [_146890, _146892] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146890, tc_HOL_Obool), _146892, _146892) = _146892)], (3001 ^ _83868) ^ [_146922, _146924, _146926, _146928] : [hBOOL(hAPP(hAPP(c_member(_146922), _146924), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_146922, tc_HOL_Obool), _146926, _146928))), -(hBOOL(hAPP(hAPP(c_member(_146922), _146924), _146928)))], (3007 ^ _83868) ^ [_147045, _147047, _147049, _147051] : [hBOOL(hAPP(hAPP(c_member(_147045), _147047), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147045, tc_HOL_Obool), _147049, _147051))), -(hBOOL(hAPP(hAPP(c_member(_147045), _147047), _147049)))], (3013 ^ _83868) ^ [_147189, _147191, _147193, _147195] : [hBOOL(hAPP(hAPP(c_member(_147189), _147191), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147189, tc_HOL_Obool), _147193, _147195))), 3016 ^ _83868 : [(3017 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_147189), _147191), _147193)))], (3019 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_147189), _147191), _147195)))]]], (3021 ^ _83868) ^ [_147348, _147350, _147352, _147354] : [-(hBOOL(hAPP(hAPP(c_member(_147348), _147350), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147348, tc_HOL_Obool), _147352, _147354)))), hBOOL(hAPP(hAPP(c_member(_147348), _147350), _147352)), hBOOL(hAPP(hAPP(c_member(_147348), _147350), _147354))], (3031 ^ _83868) ^ [_147564, _147566, _147568, _147570] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147564, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_147564, tc_fun(_147564, tc_HOL_Obool), tc_HOL_Obool), c_member(_147564)), _147566), hAPP(hAPP(c_COMBC(_147564, tc_fun(_147564, tc_HOL_Obool), tc_HOL_Obool), c_member(_147564)), _147568)), _147570)), -(hBOOL(hAPP(hAPP(c_member(_147564), _147570), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147564, tc_HOL_Obool), _147566, _147568))))], (3037 ^ _83868) ^ [_147747, _147749, _147751, _147753] : [hBOOL(hAPP(hAPP(c_member(_147747), _147753), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147747, tc_HOL_Obool), _147749, _147751))), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147747, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_147747, tc_fun(_147747, tc_HOL_Obool), tc_HOL_Obool), c_member(_147747)), _147749), hAPP(hAPP(c_COMBC(_147747, tc_fun(_147747, tc_HOL_Obool), tc_HOL_Obool), c_member(_147747)), _147751)), _147753)))], (3043 ^ _83868) ^ [_147936, _147938, _147940, _147942, _147944] : [class_Lattices_Olattice(_147936), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_147938, _147936), _147940, _147942), _147944) = c_Lattices_Osemilattice__inf__class_Oinf(_147936, hAPP(_147940, _147944), hAPP(_147942, _147944)))], (3049 ^ _83868) ^ [_148057, _148059, _148061, _148063, _148065] : [class_Lattices_Olattice(_148057), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148059, _148057), _148061, _148063), _148065) = c_Lattices_Osemilattice__inf__class_Oinf(_148057, hAPP(_148061, _148065), hAPP(_148063, _148065)))], (3077 ^ _83868) ^ [_148685, _148687, _148689] : [3079 ^ _83868 : [(3080 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_148685), 3078 ^ [_148685, _148687, _148689]), _148687)))], (3083 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_148685), 3081 ^ [_148685, _148687, _148689]), _148687)))], (3085 ^ _83868) ^ [] : [3078 ^ [_148685, _148687, _148689] = 3081 ^ [_148685, _148687, _148689]], (3087 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148685, _148685)), hAPP(hAPP(c_Product__Type_OPair(_148685, _148685), 3078 ^ [_148685, _148687, _148689]), 3081 ^ [_148685, _148687, _148689])), _148689))], (3089 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148685, _148685)), hAPP(hAPP(c_Product__Type_OPair(_148685, _148685), 3081 ^ [_148685, _148687, _148689]), 3078 ^ [_148685, _148687, _148689])), _148689))]], -(c_Relation_Ototal__on(_148685, _148687, _148689))], (3055 ^ _83868) ^ [_148196, _148198, _148200] : [c_Relation_Ototal__on(_148196, _148198, _148200), 3058 ^ _83868 : [(3059 ^ _83868) ^ [_148340] : [hBOOL(hAPP(hAPP(c_member(_148196), _148340), _148198)), 3062 ^ _83868 : [(3063 ^ _83868) ^ [_148480] : [hBOOL(hAPP(hAPP(c_member(_148196), _148480), _148198)), -(_148340 = _148480), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148196, _148196)), hAPP(hAPP(c_Product__Type_OPair(_148196, _148196), _148340), _148480)), _148200))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148196, _148196)), hAPP(hAPP(c_Product__Type_OPair(_148196, _148196), _148480), _148340)), _148200)))]]]]], (3093 ^ _83868) ^ [_149294, _149296, _149298, _149300, _149302, _149304] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149294, _149294)), hAPP(hAPP(c_Product__Type_OPair(_149294, _149294), _149296), _149298)), hAPP(hAPP(c_Relation_Oinv__image(_149300, _149294), _149302), _149304))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_149300, _149300)), hAPP(hAPP(c_Product__Type_OPair(_149300, _149300), hAPP(_149304, _149296)), hAPP(_149304, _149298))), _149302)))], (3099 ^ _83868) ^ [_149481, _149483, _149485, _149487, _149489, _149491] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149487, _149487)), hAPP(hAPP(c_Product__Type_OPair(_149487, _149487), hAPP(_149491, _149483)), hAPP(_149491, _149485))), _149489)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_149481, _149481)), hAPP(hAPP(c_Product__Type_OPair(_149481, _149481), _149483), _149485)), hAPP(hAPP(c_Relation_Oinv__image(_149487, _149481), _149489), _149491))))], (3105 ^ _83868) ^ [_149674, _149676, _149678, _149680, _149682] : [c_Relation_Orefl__on(_149674, _149676, _149678), hBOOL(hAPP(hAPP(c_member(tc_prod(_149674, _149674)), hAPP(hAPP(c_Product__Type_OPair(_149674, _149674), _149680), _149682)), _149678)), -(hBOOL(hAPP(hAPP(c_member(_149674), _149682), _149676)))], (3115 ^ _83868) ^ [_149869, _149871, _149873, _149875, _149877] : [c_Relation_Orefl__on(_149869, _149871, _149873), hBOOL(hAPP(hAPP(c_member(tc_prod(_149869, _149869)), hAPP(hAPP(c_Product__Type_OPair(_149869, _149869), _149875), _149877)), _149873)), -(hBOOL(hAPP(hAPP(c_member(_149869), _149875), _149871)))], (3125 ^ _83868) ^ [_150091, _150093, _150095, _150097, _150099, _150101] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_150091, tc_fun(_150093, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_150091, tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_fun(_150093, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150093, tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_fun(_150093, tc_HOL_Obool)), _150091), c_COMBC(_150093, tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150093, tc_prod(_150091, _150093)), tc_fun(_150093, tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), _150091), hAPP(c_COMBB(tc_prod(_150091, _150093), tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool), _150093), c_member(tc_prod(_150091, _150093)))), c_Product__Type_OPair(_150091, _150093)))), _150095), hAPP(hAPP(c_COMBC(_150091, tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_fun(_150093, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150093, tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_fun(_150093, tc_HOL_Obool)), _150091), c_COMBC(_150093, tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150093, tc_prod(_150091, _150093)), tc_fun(_150093, tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool)), _150091), hAPP(c_COMBB(tc_prod(_150091, _150093), tc_fun(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), tc_HOL_Obool), _150093), c_member(tc_prod(_150091, _150093)))), c_Product__Type_OPair(_150091, _150093)))), _150097)), _150099), _150101)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150091, _150093)), hAPP(hAPP(c_Product__Type_OPair(_150091, _150093), _150099), _150101)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_150091, _150093), tc_HOL_Obool), _150095, _150097))))], (3131 ^ _83868) ^ [_150732, _150734, _150736, _150738, _150740, _150742] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150732, _150734)), hAPP(hAPP(c_Product__Type_OPair(_150732, _150734), _150740), _150742)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), _150736, _150738))), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_150732, tc_fun(_150734, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_150732, tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_fun(_150734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150734, tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_fun(_150734, tc_HOL_Obool)), _150732), c_COMBC(_150734, tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150734, tc_prod(_150732, _150734)), tc_fun(_150734, tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), _150732), hAPP(c_COMBB(tc_prod(_150732, _150734), tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool), _150734), c_member(tc_prod(_150732, _150734)))), c_Product__Type_OPair(_150732, _150734)))), _150736), hAPP(hAPP(c_COMBC(_150732, tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_fun(_150734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150734, tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_fun(_150734, tc_HOL_Obool)), _150732), c_COMBC(_150734, tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_150734, tc_prod(_150732, _150734)), tc_fun(_150734, tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool)), _150732), hAPP(c_COMBB(tc_prod(_150732, _150734), tc_fun(tc_fun(tc_prod(_150732, _150734), tc_HOL_Obool), tc_HOL_Obool), _150734), c_member(tc_prod(_150732, _150734)))), c_Product__Type_OPair(_150732, _150734)))), _150738)), _150740), _150742)))], (3137 ^ _83868) ^ [_151379, _151381, _151383, _151385, _151387] : [c_Relation_Orefl__on(_151379, _151381, _151383), c_Relation_Orefl__on(_151379, _151385, _151387), -(c_Relation_Orefl__on(_151379, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_151379, tc_HOL_Obool), _151381, _151385), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_151379, _151379), tc_HOL_Obool), _151383, _151387)))], (3147 ^ _83868) ^ [_151560, _151562] : [-(c_Relation_Orefl__on(_151560, _151562, c_Relation_OId__on(_151560, _151562)))], (3149 ^ _83868) ^ [_151589, _151591, _151593, _151595] : [class_Lattices_Osemilattice__inf(_151589), -(c_Lattices_Osemilattice__inf__class_Oinf(_151589, c_Lattices_Osemilattice__inf__class_Oinf(_151589, _151591, _151593), _151595) = c_Lattices_Osemilattice__inf__class_Oinf(_151589, _151591, c_Lattices_Osemilattice__inf__class_Oinf(_151589, _151593, _151595)))], (3155 ^ _83868) ^ [_151700, _151702, _151704, _151706] : [class_Lattices_Olattice(_151700), -(c_Lattices_Osemilattice__inf__class_Oinf(_151700, c_Lattices_Osemilattice__inf__class_Oinf(_151700, _151702, _151704), _151706) = c_Lattices_Osemilattice__inf__class_Oinf(_151700, _151702, c_Lattices_Osemilattice__inf__class_Oinf(_151700, _151704, _151706)))], (3161 ^ _83868) ^ [_151811, _151813, _151815, _151817] : [class_Lattices_Osemilattice__inf(_151811), -(c_Lattices_Osemilattice__inf__class_Oinf(_151811, c_Lattices_Osemilattice__inf__class_Oinf(_151811, _151813, _151815), _151817) = c_Lattices_Osemilattice__inf__class_Oinf(_151811, _151813, c_Lattices_Osemilattice__inf__class_Oinf(_151811, _151815, _151817)))], (3167 ^ _83868) ^ [_151922, _151924, _151926, _151928] : [class_Lattices_Osemilattice__inf(_151922), -(c_Lattices_Osemilattice__inf__class_Oinf(_151922, _151924, c_Lattices_Osemilattice__inf__class_Oinf(_151922, _151926, _151928)) = c_Lattices_Osemilattice__inf__class_Oinf(_151922, _151926, c_Lattices_Osemilattice__inf__class_Oinf(_151922, _151924, _151928)))], (3173 ^ _83868) ^ [_152033, _152035, _152037, _152039] : [class_Lattices_Olattice(_152033), -(c_Lattices_Osemilattice__inf__class_Oinf(_152033, _152035, c_Lattices_Osemilattice__inf__class_Oinf(_152033, _152037, _152039)) = c_Lattices_Osemilattice__inf__class_Oinf(_152033, _152037, c_Lattices_Osemilattice__inf__class_Oinf(_152033, _152035, _152039)))], (3179 ^ _83868) ^ [_152144, _152146, _152148, _152150] : [class_Lattices_Osemilattice__inf(_152144), -(c_Lattices_Osemilattice__inf__class_Oinf(_152144, _152146, c_Lattices_Osemilattice__inf__class_Oinf(_152144, _152148, _152150)) = c_Lattices_Osemilattice__inf__class_Oinf(_152144, _152148, c_Lattices_Osemilattice__inf__class_Oinf(_152144, _152146, _152150)))], (3185 ^ _83868) ^ [_152255, _152257, _152259] : [class_Lattices_Osemilattice__inf(_152255), -(c_Lattices_Osemilattice__inf__class_Oinf(_152255, _152257, c_Lattices_Osemilattice__inf__class_Oinf(_152255, _152257, _152259)) = c_Lattices_Osemilattice__inf__class_Oinf(_152255, _152257, _152259))], (3191 ^ _83868) ^ [_152356, _152358, _152360] : [class_Lattices_Olattice(_152356), -(c_Lattices_Osemilattice__inf__class_Oinf(_152356, _152358, c_Lattices_Osemilattice__inf__class_Oinf(_152356, _152358, _152360)) = c_Lattices_Osemilattice__inf__class_Oinf(_152356, _152358, _152360))], (3197 ^ _83868) ^ [_152457, _152459, _152461] : [class_Lattices_Osemilattice__inf(_152457), -(c_Lattices_Osemilattice__inf__class_Oinf(_152457, _152459, c_Lattices_Osemilattice__inf__class_Oinf(_152457, _152459, _152461)) = c_Lattices_Osemilattice__inf__class_Oinf(_152457, _152459, _152461))], (3203 ^ _83868) ^ [_152558, _152560, _152562] : [class_Lattices_Osemilattice__inf(_152558), -(c_Lattices_Osemilattice__inf__class_Oinf(_152558, _152560, _152562) = c_Lattices_Osemilattice__inf__class_Oinf(_152558, _152562, _152560))], (3209 ^ _83868) ^ [_152651, _152653, _152655] : [class_Lattices_Olattice(_152651), -(c_Lattices_Osemilattice__inf__class_Oinf(_152651, _152653, _152655) = c_Lattices_Osemilattice__inf__class_Oinf(_152651, _152655, _152653))], (3215 ^ _83868) ^ [_152744, _152746, _152748] : [class_Lattices_Osemilattice__inf(_152744), -(c_Lattices_Osemilattice__inf__class_Oinf(_152744, _152746, _152748) = c_Lattices_Osemilattice__inf__class_Oinf(_152744, _152748, _152746))], (3221 ^ _83868) ^ [_152837, _152839] : [class_Lattices_Osemilattice__inf(_152837), -(c_Lattices_Osemilattice__inf__class_Oinf(_152837, _152839, _152839) = _152839)], (3227 ^ _83868) ^ [_152920, _152922] : [class_Lattices_Osemilattice__inf(_152920), -(c_Lattices_Osemilattice__inf__class_Oinf(_152920, _152922, _152922) = _152922)], (3233 ^ _83868) ^ [_153003, _153005, _153007, _153009] : [c_Relation_Orefl__on(_153003, _153005, _153007), hBOOL(hAPP(hAPP(c_member(_153003), _153009), _153005)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153003, _153003)), hAPP(hAPP(c_Product__Type_OPair(_153003, _153003), _153009), _153009)), _153007)))], (3243 ^ _83868) ^ [_153194, _153196, _153198, _153200] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_153194, _153194)), hAPP(hAPP(c_Product__Type_OPair(_153194, _153194), _153196), _153198)), c_Transitive__Closure_Otrancl(_153194, _153200))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153194, _153194)), hAPP(hAPP(c_Product__Type_OPair(_153194, _153194), _153196), _153198)), c_Transitive__Closure_Ortrancl(_153194, _153200))))], (3249 ^ _83868) ^ [_153384, _153386, _153388, _153390] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153384, hAPP(hAPP(c_COMBC(_153384, tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_fun(_153384, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_153384, tc_fun(tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_fun(_153384, tc_HOL_Obool)), _153384), c_COMBC(_153384, tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_153384, tc_prod(_153384, _153384)), tc_fun(_153384, tc_fun(tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_HOL_Obool)), _153384), hAPP(c_COMBB(tc_prod(_153384, _153384), tc_fun(tc_fun(tc_prod(_153384, _153384), tc_HOL_Obool), tc_HOL_Obool), _153384), c_member(tc_prod(_153384, _153384)))), c_Product__Type_OPair(_153384, _153384)))), _153386)), _153388), _153390)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153384, _153384)), hAPP(hAPP(c_Product__Type_OPair(_153384, _153384), _153388), _153390)), c_Transitive__Closure_Ortrancl(_153384, _153386))))], (3255 ^ _83868) ^ [_153757, _153759, _153761, _153763] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_153757, _153757)), hAPP(hAPP(c_Product__Type_OPair(_153757, _153757), _153761), _153763)), c_Transitive__Closure_Ortrancl(_153757, _153759))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_153757, hAPP(hAPP(c_COMBC(_153757, tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_fun(_153757, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_153757, tc_fun(tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_fun(_153757, tc_HOL_Obool)), _153757), c_COMBC(_153757, tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_153757, tc_prod(_153757, _153757)), tc_fun(_153757, tc_fun(tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_HOL_Obool)), _153757), hAPP(c_COMBB(tc_prod(_153757, _153757), tc_fun(tc_fun(tc_prod(_153757, _153757), tc_HOL_Obool), tc_HOL_Obool), _153757), c_member(tc_prod(_153757, _153757)))), c_Product__Type_OPair(_153757, _153757)))), _153759)), _153761), _153763)))], (3261 ^ _83868) ^ [_154136, _154138, _154140, _154142, _154144] : [-(c_Nitpick_Owf__wfrec_H(_154136, _154138, _154140, _154142, _154144) = hAPP(hAPP(_154142, hAPP(hAPP(hAPP(c_Recdef_Ocut(_154136, _154138), c_Nitpick_Owf__wfrec(_154136, _154138, _154140, _154142)), _154140), _154144)), _154144))], (3263 ^ _83868) ^ [_154196, _154198] : [class_Lattices_Olattice(_154196), -(c_Lattices_Osemilattice__inf__class_Oinf(_154196, _154198, _154198) = _154198)], (3269 ^ _83868) ^ [_154279, _154281] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_154279, _154279)), hAPP(hAPP(c_Product__Type_OPair(_154279, _154279), _154281), _154281)), c_Relation_OId(_154279))))], (3271 ^ _83868) ^ [_154325, _154327, _154329, _154331, _154333] : [3273 ^ _83868 : [(3274 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_154325), 3272 ^ [_154325, _154327, _154329, _154331, _154333]), _154327)))], (3276 ^ _83868) ^ [] : [hAPP(_154329, 3272 ^ [_154325, _154327, _154329, _154331, _154333]) = hAPP(_154331, 3272 ^ [_154325, _154327, _154329, _154331, _154333])]], -(c_FuncSet_Orestrict(_154325, _154333, _154329, _154327) = c_FuncSet_Orestrict(_154325, _154333, _154331, _154327))], (3280 ^ _83868) ^ [_154554, _154556, _154558, _154560] : [hBOOL(hAPP(hAPP(_154554, _154556), _154558)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154560, _154554), _154556), _154558)))], (3286 ^ _83868) ^ [_154661, _154663, _154665] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_154661, _154663), _154665), _154665)))], (3288 ^ _83868) ^ [_154696, _154698, _154700, _154702, _154704, _154706] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154696, tc_fun(_154698, tc_HOL_Obool)), _154700, _154702), _154704), _154706)), 3291 ^ _83868 : [(3292 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_154700, _154704), _154706)))], (3294 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_154702, _154704), _154706)))]]], (3296 ^ _83868) ^ [_154861, _154863, _154865, _154867, _154869, _154871] : [hBOOL(hAPP(hAPP(_154861, _154863), _154865)), hBOOL(hAPP(hAPP(_154867, _154863), _154865)), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154869, tc_fun(_154871, tc_HOL_Obool)), _154861, _154867), _154863), _154865)))], (3306 ^ _83868) ^ [_155056, _155058, _155060, _155062] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_155056, _155056)), hAPP(hAPP(c_Product__Type_OPair(_155056, _155056), _155058), _155060)), _155062)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_155056, _155056)), hAPP(hAPP(c_Product__Type_OPair(_155056, _155056), _155058), _155060)), c_Transitive__Closure_Otrancl(_155056, _155062))))], (3312 ^ _83868) ^ [_155219, _155221] : [-(c_Transitive__Closure_Ortranclp(_155219, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155219, tc_fun(_155219, tc_HOL_Obool)), _155221, hAPP(hAPP(c_COMBB(tc_fun(_155219, tc_HOL_Obool), tc_fun(_155219, tc_HOL_Obool), _155219), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _155219), c_fNot)), c_fequal))) = c_Transitive__Closure_Ortranclp(_155219, _155221))], (3314 ^ _83868) ^ [_155283, _155285, _155287, _155289, _155291, _155293] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155283, tc_fun(_155285, tc_HOL_Obool)), _155287, _155289), _155291), _155293)), -(hBOOL(hAPP(hAPP(_155289, _155291), _155293)))], (3320 ^ _83868) ^ [_155408, _155410, _155412, _155414, _155416, _155418] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155408, tc_fun(_155410, tc_HOL_Obool)), _155412, _155414), _155416), _155418)), -(hBOOL(hAPP(hAPP(_155412, _155416), _155418)))], (3326 ^ _83868) ^ [_155533, _155535, _155537, _155539, _155541] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155533, _155535), _155537), _155539)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155533, _155535), _155539), _155541)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155533, _155535), _155537), _155541)))], (3336 ^ _83868) ^ [_155722, _155724, _155726, _155728, _155730] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155722, _155724), _155726), _155728)), hBOOL(hAPP(hAPP(_155724, _155728), _155730)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155722, _155724), _155726), _155730)))], (3346 ^ _83868) ^ [_155905, _155907, _155909, _155911, _155913] : [hBOOL(hAPP(hAPP(_155905, _155907), _155909)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155911, _155905), _155909), _155913)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_155911, _155905), _155907), _155913)))], (3356 ^ _83868) ^ [_156109, _156111, _156113, _156115] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156109, _156111), _156113), _156115)), -(_156115 = _156113), 3364 ^ _83868 : [(3365 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156109, _156111), _156113), 3363 ^ [_156109, _156111, _156113, _156115])))], (3367 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_156111, 3363 ^ [_156109, _156111, _156113, _156115]), _156115)))]]], (3369 ^ _83868) ^ [_156311, _156313, _156315, _156317] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156311, _156313), _156315), _156317))), 3370 ^ _83868 : [(3371 ^ _83868) ^ [] : [_156317 = _156315], (3373 ^ _83868) ^ [_156408] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156311, _156313), _156315), _156408)), hBOOL(hAPP(hAPP(_156313, _156408), _156317))]]], (3381 ^ _83868) ^ [_156556, _156558, _156560] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156556, _156558), _156560), _156560)))], (3383 ^ _83868) ^ [_156591, _156593] : [-(c_Transitive__Closure_Ortranclp(_156591, c_Transitive__Closure_Ortranclp(_156591, _156593)) = c_Transitive__Closure_Ortranclp(_156591, _156593))], (3385 ^ _83868) ^ [_156625, _156627, _156629] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_156625, _156625)), _156627), _156629)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_156625, _156625)), _156627), c_Transitive__Closure_Otrancl(_156625, _156629))))], (3391 ^ _83868) ^ [_156750, _156752] : [-(c_Transitive__Closure_Ortrancl(_156750, c_Transitive__Closure_Otrancl(_156750, _156752)) = c_Transitive__Closure_Ortrancl(_156750, _156752))], (3393 ^ _83868) ^ [_156784, _156786] : [-(c_Transitive__Closure_Otrancl(_156784, c_Transitive__Closure_Ortrancl(_156784, _156786)) = c_Transitive__Closure_Ortrancl(_156784, _156786))], (3395 ^ _83868) ^ [_156818, _156820] : [-(c_Relation_ODomain(_156818, _156818, c_Transitive__Closure_Otrancl(_156818, _156820)) = c_Relation_ODomain(_156818, _156818, _156820))], (3397 ^ _83868) ^ [_156854, _156856] : [-(c_Relation_ORange(_156854, _156854, c_Transitive__Closure_Otrancl(_156854, _156856)) = c_Relation_ORange(_156854, _156854, _156856))], (3399 ^ _83868) ^ [_156890, _156892, _156894, _156896] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_156890, _156892), _156894), _156896)), hBOOL(hAPP(c_Wellfounded_Oaccp(_156890, _156892), _156896)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_156890, _156892), _156894)))], (3409 ^ _83868) ^ [_157063, _157065, _157067, _157069] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_157063, _157065), _157067)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_157063, _157065), _157069), _157067)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_157063, _157065), _157069)))], (3419 ^ _83868) ^ [_157236] : [-(c_Relation_Osingle__valued(_157236, _157236, c_Relation_OId(_157236)))], (3421 ^ _83868) ^ [_157262, _157264, _157266, _157268, _157270] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157262, _157262)), hAPP(hAPP(c_Product__Type_OPair(_157262, _157262), _157264), _157266)), c_Transitive__Closure_Otrancl(_157262, _157268))), hBOOL(hAPP(hAPP(c_member(tc_prod(_157262, _157262)), hAPP(hAPP(c_Product__Type_OPair(_157262, _157262), _157266), _157270)), c_Transitive__Closure_Otrancl(_157262, _157268))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157262, _157262)), hAPP(hAPP(c_Product__Type_OPair(_157262, _157262), _157264), _157270)), c_Transitive__Closure_Otrancl(_157262, _157268))))], (3431 ^ _83868) ^ [_157535, _157537, _157539, _157541, _157543] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157535, _157535)), hAPP(hAPP(c_Product__Type_OPair(_157535, _157535), _157537), _157539)), c_Transitive__Closure_Otrancl(_157535, _157541))), hBOOL(hAPP(hAPP(c_member(tc_prod(_157535, _157535)), hAPP(hAPP(c_Product__Type_OPair(_157535, _157535), _157539), _157543)), _157541)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157535, _157535)), hAPP(hAPP(c_Product__Type_OPair(_157535, _157535), _157537), _157543)), c_Transitive__Closure_Otrancl(_157535, _157541))))], (3441 ^ _83868) ^ [_157802, _157804, _157806, _157808, _157810] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_157802, _157802)), hAPP(hAPP(c_Product__Type_OPair(_157802, _157802), _157804), _157806)), _157808)), hBOOL(hAPP(hAPP(c_member(tc_prod(_157802, _157802)), hAPP(hAPP(c_Product__Type_OPair(_157802, _157802), _157806), _157810)), c_Transitive__Closure_Otrancl(_157802, _157808))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_157802, _157802)), hAPP(hAPP(c_Product__Type_OPair(_157802, _157802), _157804), _157810)), c_Transitive__Closure_Otrancl(_157802, _157808))))], (3451 ^ _83868) ^ [_158069, _158071, _158073, _158075, _158077] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158069, _158069)), hAPP(hAPP(c_Product__Type_OPair(_158069, _158069), _158071), _158073)), _158075)), hBOOL(hAPP(hAPP(c_member(tc_prod(_158069, _158069)), hAPP(hAPP(c_Product__Type_OPair(_158069, _158069), _158073), _158077)), _158075)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158069, _158069)), hAPP(hAPP(c_Product__Type_OPair(_158069, _158069), _158071), _158077)), c_Transitive__Closure_Otrancl(_158069, _158075))))], (3461 ^ _83868) ^ [_158348, _158350, _158352] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158348, _158348)), hAPP(hAPP(c_Product__Type_OPair(_158348, _158348), _158350), _158352)), c_Relation_OId(_158348))), -(_158350 = _158352)], (3467 ^ _83868) ^ [_158465, _158467, _158469] : [_158467 = _158469, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158465, _158465)), hAPP(hAPP(c_Product__Type_OPair(_158465, _158465), _158467), _158469)), c_Relation_OId(_158465))))], (3473 ^ _83868) ^ [_158588, _158590, _158592, _158594, _158596] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158588, _158588)), hAPP(hAPP(c_Product__Type_OPair(_158588, _158588), _158590), _158592)), c_Transitive__Closure_Ortrancl(_158588, _158594))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158588, _158588)), hAPP(hAPP(c_Product__Type_OPair(_158588, _158588), _158592), _158596)), c_Transitive__Closure_Otrancl(_158588, _158594))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158588, _158588)), hAPP(hAPP(c_Product__Type_OPair(_158588, _158588), _158590), _158596)), c_Transitive__Closure_Otrancl(_158588, _158594))))], (3483 ^ _83868) ^ [_158861, _158863, _158865, _158867, _158869] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_158861, _158861)), hAPP(hAPP(c_Product__Type_OPair(_158861, _158861), _158863), _158865)), c_Transitive__Closure_Otrancl(_158861, _158867))), hBOOL(hAPP(hAPP(c_member(tc_prod(_158861, _158861)), hAPP(hAPP(c_Product__Type_OPair(_158861, _158861), _158865), _158869)), c_Transitive__Closure_Ortrancl(_158861, _158867))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_158861, _158861)), hAPP(hAPP(c_Product__Type_OPair(_158861, _158861), _158863), _158869)), c_Transitive__Closure_Otrancl(_158861, _158867))))], (3493 ^ _83868) ^ [_159134, _159136, _159138, _159140, _159142] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159134, _159134)), hAPP(hAPP(c_Product__Type_OPair(_159134, _159134), _159136), _159138)), c_Transitive__Closure_Ortrancl(_159134, _159140))), hBOOL(hAPP(hAPP(c_member(tc_prod(_159134, _159134)), hAPP(hAPP(c_Product__Type_OPair(_159134, _159134), _159138), _159142)), _159140)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159134, _159134)), hAPP(hAPP(c_Product__Type_OPair(_159134, _159134), _159136), _159142)), c_Transitive__Closure_Otrancl(_159134, _159140))))], (3503 ^ _83868) ^ [_159401, _159403, _159405, _159407] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159401, _159401)), hAPP(hAPP(c_Product__Type_OPair(_159401, _159401), _159403), _159405)), c_Transitive__Closure_Ortrancl(_159401, _159407))), -(_159403 = _159405), 3510 ^ _83868 : [(3511 ^ _83868) ^ [] : [_159403 = _159405], (3513 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159401, _159401)), hAPP(hAPP(c_Product__Type_OPair(_159401, _159401), _159403), _159405)), c_Transitive__Closure_Otrancl(_159401, _159407))))]]], (3515 ^ _83868) ^ [_159663, _159665, _159667, _159669, _159671] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159663, _159663)), hAPP(hAPP(c_Product__Type_OPair(_159663, _159663), _159665), _159667)), _159669)), hBOOL(hAPP(hAPP(c_member(tc_prod(_159663, _159663)), hAPP(hAPP(c_Product__Type_OPair(_159663, _159663), _159667), _159671)), c_Transitive__Closure_Ortrancl(_159663, _159669))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_159663, _159663)), hAPP(hAPP(c_Product__Type_OPair(_159663, _159663), _159665), _159671)), c_Transitive__Closure_Otrancl(_159663, _159669))))], (3525 ^ _83868) ^ [_159951, _159953, _159955, _159957] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_159951, _159951)), hAPP(hAPP(c_Product__Type_OPair(_159951, _159951), _159953), _159955)), c_Transitive__Closure_Ortrancl(_159951, _159957))), -(_159953 = _159955), 3532 ^ _83868 : [(3533 ^ _83868) ^ [] : [_159953 = _159955], (3535 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_159951, _159951)), hAPP(hAPP(c_Product__Type_OPair(_159951, _159951), _159953), _159955)), c_Transitive__Closure_Otrancl(_159951, _159957))))]]], (3537 ^ _83868) ^ [_160209, _160211, _160213, _160215] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), _160211), _160213)), c_Transitive__Closure_Ortrancl(_160209, _160215)))), 3538 ^ _83868 : [(3539 ^ _83868) ^ [] : [_160211 = _160213], (3541 ^ _83868) ^ [] : [-(_160211 = _160213), hBOOL(hAPP(hAPP(c_member(tc_prod(_160209, _160209)), hAPP(hAPP(c_Product__Type_OPair(_160209, _160209), _160211), _160213)), c_Transitive__Closure_Otrancl(_160209, _160215)))]]], (3549 ^ _83868) ^ [_160475, _160477, _160479, _160481] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160475, _160475)), hAPP(hAPP(c_Product__Type_OPair(_160475, _160475), _160477), _160479)), c_Transitive__Closure_Otrancl(_160475, _160481))), 3553 ^ _83868 : [(3554 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160475, _160475)), hAPP(hAPP(c_Product__Type_OPair(_160475, _160475), _160477), 3552 ^ [_160475, _160477, _160479, _160481])), _160481)))], (3556 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160475, _160475)), hAPP(hAPP(c_Product__Type_OPair(_160475, _160475), 3552 ^ [_160475, _160477, _160479, _160481]), _160479)), c_Transitive__Closure_Ortrancl(_160475, _160481))))]]], (3558 ^ _83868) ^ [_160735, _160737, _160739, _160741] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160735, _160735)), hAPP(hAPP(c_Product__Type_OPair(_160735, _160735), _160737), _160739)), c_Transitive__Closure_Otrancl(_160735, _160741))), 3562 ^ _83868 : [(3563 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160735, _160735)), hAPP(hAPP(c_Product__Type_OPair(_160735, _160735), _160737), 3561 ^ [_160735, _160737, _160739, _160741])), c_Transitive__Closure_Ortrancl(_160735, _160741))))], (3565 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_160735, _160735)), hAPP(hAPP(c_Product__Type_OPair(_160735, _160735), 3561 ^ [_160735, _160737, _160739, _160741]), _160739)), _160741)))]]], (3567 ^ _83868) ^ [_160995, _160997] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_160995, _160995)), _160997), c_Relation_OId(_160995))), -(_160997 = hAPP(hAPP(c_Product__Type_OPair(_160995, _160995), 3570 ^ [_160995, _160997]), 3570 ^ [_160995, _160997]))], (3574 ^ _83868) ^ [_161152, _161154] : [c_Wellfounded_Oacyclic(_161152, _161154), 3577 ^ _83868 : [(3578 ^ _83868) ^ [_161237] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_161152, _161152)), hAPP(hAPP(c_Product__Type_OPair(_161152, _161152), _161237), _161237)), c_Transitive__Closure_Otrancl(_161152, _161154)))]]], (3580 ^ _83868) ^ [_161280, _161282] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161280, _161280)), hAPP(hAPP(c_Product__Type_OPair(_161280, _161280), 3581 ^ [_161280, _161282]), 3581 ^ [_161280, _161282])), c_Transitive__Closure_Otrancl(_161280, _161282)))), -(c_Wellfounded_Oacyclic(_161280, _161282))], (3587 ^ _83868) ^ [_161354, _161356, _161358, _161360] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_161354, _161354)), hAPP(hAPP(c_Product__Type_OPair(_161354, _161354), _161356), _161358)), c_Transitive__Closure_Otrancl(_161354, _161360))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_161354, _161354)), hAPP(hAPP(c_Product__Type_OPair(_161354, _161354), _161356), _161358)), _161360))), 3595 ^ _83868 : [(3596 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161354, _161354)), hAPP(hAPP(c_Product__Type_OPair(_161354, _161354), _161356), 3594 ^ [_161354, _161356, _161358, _161360])), c_Transitive__Closure_Otrancl(_161354, _161360))))], (3598 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161354, _161354)), hAPP(hAPP(c_Product__Type_OPair(_161354, _161354), 3594 ^ [_161354, _161356, _161358, _161360]), _161358)), _161360)))]]], (3600 ^ _83868) ^ [_161684, _161686] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_161684, _161684)), hAPP(hAPP(c_Product__Type_OPair(_161684, _161684), 3601 ^ [_161684, _161686]), 3601 ^ [_161684, _161686])), c_Transitive__Closure_Otrancl(_161684, _161686)))), -(c_Wellfounded_Oacyclic(_161684, _161686))], (3607 ^ _83868) ^ [_161777, _161779, _161781, _161783] : [c_Wellfounded_Oacyclic(_161777, c_Set_Oinsert(tc_prod(_161777, _161777), hAPP(hAPP(c_Product__Type_OPair(_161777, _161777), _161779), _161781), _161783)), 3610 ^ _83868 : [(3611 ^ _83868) ^ [] : [-(c_Wellfounded_Oacyclic(_161777, _161783))], (3613 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_161777, _161777)), hAPP(hAPP(c_Product__Type_OPair(_161777, _161777), _161781), _161779)), c_Transitive__Closure_Ortrancl(_161777, _161783)))]]], (3615 ^ _83868) ^ [_161964, _161966, _161968, _161970] : [-(c_Wellfounded_Oacyclic(_161964, c_Set_Oinsert(tc_prod(_161964, _161964), hAPP(hAPP(c_Product__Type_OPair(_161964, _161964), _161966), _161968), _161970))), c_Wellfounded_Oacyclic(_161964, _161970), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_161964, _161964)), hAPP(hAPP(c_Product__Type_OPair(_161964, _161964), _161968), _161966)), c_Transitive__Closure_Ortrancl(_161964, _161970))))], (3625 ^ _83868) ^ [_162181, _162183, _162185, _162187] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_162181, _162181)), hAPP(hAPP(c_Product__Type_OPair(_162181, _162181), 3626 ^ [_162181, _162183, _162185, _162187]), 3626 ^ [_162181, _162183, _162185, _162187])), c_Transitive__Closure_Otrancl(_162181, _162183)))), hBOOL(hAPP(hAPP(c_member(tc_prod(_162181, _162181)), hAPP(hAPP(c_Product__Type_OPair(_162181, _162181), _162185), _162187)), _162183)), _162185 = _162187], (3636 ^ _83868) ^ [_162399, _162401, _162403, _162405] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_162399, _162399)), hAPP(hAPP(c_Product__Type_OPair(_162399, _162399), _162401), _162403)), c_Transitive__Closure_Otrancl(_162399, _162405))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_162399, _162399)), hAPP(hAPP(c_Product__Type_OPair(_162399, _162399), _162401), _162403)), _162405))), 3644 ^ _83868 : [(3645 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_162399, _162399)), hAPP(hAPP(c_Product__Type_OPair(_162399, _162399), _162401), 3643 ^ [_162399, _162401, _162403, _162405])), _162405)))], (3647 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_162399, _162399)), hAPP(hAPP(c_Product__Type_OPair(_162399, _162399), 3643 ^ [_162399, _162401, _162403, _162405]), _162403)), c_Transitive__Closure_Otrancl(_162399, _162405))))]]], (3649 ^ _83868) ^ [_162733, _162735, _162737, _162739] : [hBOOL(hAPP(hAPP(c_member(_162733), _162735), c_Set_Oinsert(_162733, _162737, _162739))), -(_162735 = _162737), -(hBOOL(hAPP(hAPP(c_member(_162733), _162735), _162739)))], (3659 ^ _83868) ^ [_162865, _162867, _162869, _162871] : [3660 ^ _83868 : [(3661 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_162865), _162867), _162869))], (3663 ^ _83868) ^ [] : [_162867 = _162871]], -(hBOOL(hAPP(hAPP(c_member(_162865), _162867), c_Set_Oinsert(_162865, _162871, _162869))))], (3667 ^ _83868) ^ [_163022, _163024, _163026, _163028, _163030] : [-(c_Relation_ODomain(_163022, _163024, c_Set_Oinsert(tc_prod(_163022, _163024), hAPP(hAPP(c_Product__Type_OPair(_163022, _163024), _163026), _163028), _163030)) = c_Set_Oinsert(_163022, _163026, c_Relation_ODomain(_163022, _163024, _163030)))], (3669 ^ _83868) ^ [_163081, _163083, _163085, _163087, _163089] : [-(c_Relation_ORange(_163081, _163083, c_Set_Oinsert(tc_prod(_163081, _163083), hAPP(hAPP(c_Product__Type_OPair(_163081, _163083), _163085), _163087), _163089)) = c_Set_Oinsert(_163083, _163087, c_Relation_ORange(_163081, _163083, _163089)))], (3681 ^ _83868) ^ [_163267, _163269, _163271, _163273] : [3682 ^ _83868 : [(3683 ^ _83868) ^ [] : [_163269 = _163273], (3685 ^ _83868) ^ [] : [hBOOL(hAPP(_163271, _163273))]], -(hBOOL(hAPP(c_Set_Oinsert(_163267, _163269, _163271), _163273)))], (3671 ^ _83868) ^ [_163161, _163163, _163165, _163167] : [hBOOL(hAPP(c_Set_Oinsert(_163161, _163163, _163165), _163167)), -(_163163 = _163167), -(hBOOL(hAPP(_163165, _163167)))], (3689 ^ _83868) ^ [_163404, _163406, _163408, _163410] : [-(c_Set_Oinsert(_163404, _163406, c_Set_Oinsert(_163404, _163408, _163410)) = c_Set_Oinsert(_163404, _163408, c_Set_Oinsert(_163404, _163406, _163410)))], (3691 ^ _83868) ^ [_163449, _163451, _163453] : [-(c_Set_Oinsert(_163449, _163451, c_Set_Oinsert(_163449, _163451, _163453)) = c_Set_Oinsert(_163449, _163451, _163453))], (3693 ^ _83868) ^ [_163488, _163490, _163492, _163494] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_163488, tc_HOL_Obool), c_Set_Oinsert(_163488, _163490, _163492), c_Set_Oinsert(_163488, _163490, _163494)) = c_Set_Oinsert(_163488, _163490, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_163488, tc_HOL_Obool), _163492, _163494)))], (3695 ^ _83868) ^ [_163543, _163545, _163547] : [-(hBOOL(hAPP(hAPP(c_member(_163543), _163545), c_Set_Oinsert(_163543, _163545, _163547))))], (3707 ^ _83868) ^ [_163728, _163730, _163732, _163734] : [3708 ^ _83868 : [(3709 ^ _83868) ^ [] : [_163730 = _163732], (3711 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(_163728), _163730), _163734))]], -(hBOOL(hAPP(hAPP(c_member(_163728), _163730), c_Set_Oinsert(_163728, _163732, _163734))))], (3697 ^ _83868) ^ [_163602, _163604, _163606, _163608] : [hBOOL(hAPP(hAPP(c_member(_163602), _163604), c_Set_Oinsert(_163602, _163606, _163608))), -(_163604 = _163606), -(hBOOL(hAPP(hAPP(c_member(_163602), _163604), _163608)))], (3715 ^ _83868) ^ [_163884, _163886, _163888, _163890] : [-(hBOOL(hAPP(hAPP(c_member(_163884), _163886), _163888))), -(hBOOL(hAPP(hAPP(c_member(_163884), _163886), _163890))), 3722 ^ _83868 : [(3723 ^ _83868) ^ [] : [c_Set_Oinsert(_163884, _163886, _163888) = c_Set_Oinsert(_163884, _163886, _163890), -(_163888 = _163890)], (3729 ^ _83868) ^ [] : [_163888 = _163890, -(c_Set_Oinsert(_163884, _163886, _163888) = c_Set_Oinsert(_163884, _163886, _163890))]]], (3735 ^ _83868) ^ [_164205, _164207, _164209, _164211] : [hBOOL(hAPP(hAPP(c_member(_164205), _164207), _164209)), -(hBOOL(hAPP(hAPP(c_member(_164205), _164207), c_Set_Oinsert(_164205, _164211, _164209))))], (3741 ^ _83868) ^ [_164322, _164324, _164326] : [hBOOL(hAPP(hAPP(c_member(_164322), _164324), _164326)), -(c_Set_Oinsert(_164322, _164324, _164326) = _164326)], (3747 ^ _83868) ^ [_164438, _164440, _164442, _164444] : [hBOOL(hAPP(hAPP(c_member(_164438), _164440), _164442)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164438, tc_HOL_Obool), _164442, c_Set_Oinsert(_164438, _164440, _164444)) = c_Set_Oinsert(_164438, _164440, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164438, tc_HOL_Obool), _164442, _164444)))], (3753 ^ _83868) ^ [_164571, _164573, _164575, _164577] : [-(hBOOL(hAPP(hAPP(c_member(_164571), _164573), _164575))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164571, tc_HOL_Obool), _164575, c_Set_Oinsert(_164571, _164573, _164577)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164571, tc_HOL_Obool), _164575, _164577))], (3759 ^ _83868) ^ [_164653, _164655, _164657, _164659] : [hBOOL(hAPP(hAPP(c_member(_164653), _164655), _164657)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164653, tc_HOL_Obool), c_Set_Oinsert(_164653, _164655, _164659), _164657) = c_Set_Oinsert(_164653, _164655, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164653, tc_HOL_Obool), _164659, _164657)))], (3765 ^ _83868) ^ [_164786, _164788, _164790, _164792] : [-(hBOOL(hAPP(hAPP(c_member(_164786), _164788), _164790))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164786, tc_HOL_Obool), c_Set_Oinsert(_164786, _164788, _164792), _164790) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164786, tc_HOL_Obool), _164792, _164790))], (3771 ^ _83868) ^ [_164849, _164851, _164853, _164855] : [-(hBOOL(hAPP(hAPP(c_member(_164849), _164851), _164853))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164849, tc_HOL_Obool), _164853, c_Set_Oinsert(_164849, _164851, _164855)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164849, tc_HOL_Obool), _164853, _164855))], (3777 ^ _83868) ^ [_164910, _164912, _164914, _164916] : [-(hBOOL(hAPP(hAPP(c_member(_164910), _164912), _164914))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164910, tc_HOL_Obool), c_Set_Oinsert(_164910, _164912, _164916), _164914) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164910, tc_HOL_Obool), _164916, _164914))], (3783 ^ _83868) ^ [_164975, _164977, _164979, _164981] : [hBOOL(hAPP(hAPP(c_member(_164975), _164977), _164979)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164975, tc_HOL_Obool), _164979, c_Set_Oinsert(_164975, _164977, _164981)) = c_Set_Oinsert(_164975, _164977, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164975, tc_HOL_Obool), _164979, _164981)))], (3789 ^ _83868) ^ [_165114, _165116, _165118, _165120] : [hBOOL(hAPP(hAPP(c_member(_165114), _165116), _165118)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165114, tc_HOL_Obool), c_Set_Oinsert(_165114, _165116, _165120), _165118) = c_Set_Oinsert(_165114, _165116, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165114, tc_HOL_Obool), _165120, _165118)))], (3795 ^ _83868) ^ [_165252, _165254, _165256, _165258, _165260, _165262] : [-(hBOOL(hAPP(hAPP(c_member(_165252), _165254), _165256))), hBOOL(hAPP(hAPP(c_member(tc_fun(_165252, _165258)), _165260), c_FuncSet_Oextensional__funcset(_165252, _165258, c_Set_Oinsert(_165252, _165254, _165256), _165262))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_165252, _165258)), c_Fun_Ofun__upd(_165252, _165258, _165260, _165254, c_HOL_Oundefined(_165258))), c_FuncSet_Oextensional__funcset(_165252, _165258, _165256, _165262))))], (3805 ^ _83868) ^ [_165486, _165488, _165490, _165492, _165494, _165496, _165498] : [hBOOL(hAPP(hAPP(c_member(_165486), _165488), _165490)), hBOOL(hAPP(hAPP(c_member(tc_fun(_165492, _165486)), _165494), c_FuncSet_Oextensional__funcset(_165492, _165486, _165496, _165490))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_165492, _165486)), c_Fun_Ofun__upd(_165492, _165486, _165494, _165498, _165488)), c_FuncSet_Oextensional__funcset(_165492, _165486, c_Set_Oinsert(_165492, _165498, _165496), _165490))))], (3815 ^ _83868) ^ [_165750, _165752, _165754, _165756] : [c_Wellfounded_Owf(_165750, c_Set_Oinsert(tc_prod(_165750, _165750), hAPP(hAPP(c_Product__Type_OPair(_165750, _165750), _165752), _165754), _165756)), 3818 ^ _83868 : [(3819 ^ _83868) ^ [] : [-(c_Wellfounded_Owf(_165750, _165756))], (3821 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_165750, _165750)), hAPP(hAPP(c_Product__Type_OPair(_165750, _165750), _165754), _165752)), c_Transitive__Closure_Ortrancl(_165750, _165756)))]]], (3823 ^ _83868) ^ [_165937, _165939, _165941, _165943] : [-(c_Wellfounded_Owf(_165937, c_Set_Oinsert(tc_prod(_165937, _165937), hAPP(hAPP(c_Product__Type_OPair(_165937, _165937), _165939), _165941), _165943))), c_Wellfounded_Owf(_165937, _165943), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_165937, _165937)), hAPP(hAPP(c_Product__Type_OPair(_165937, _165937), _165941), _165939)), c_Transitive__Closure_Ortrancl(_165937, _165943))))], (3833 ^ _83868) ^ [_166176, _166178, _166180, _166182] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_166176, hAPP(hAPP(c_COMBC(_166176, tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_fun(_166176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_166176, tc_fun(tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_fun(_166176, tc_HOL_Obool)), _166176), c_COMBC(_166176, tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_166176, tc_prod(_166176, _166176)), tc_fun(_166176, tc_fun(tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_HOL_Obool)), _166176), hAPP(c_COMBB(tc_prod(_166176, _166176), tc_fun(tc_fun(tc_prod(_166176, _166176), tc_HOL_Obool), tc_HOL_Obool), _166176), c_member(tc_prod(_166176, _166176)))), c_Product__Type_OPair(_166176, _166176)))), _166178)), _166180), _166182)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_166176, _166176)), hAPP(hAPP(c_Product__Type_OPair(_166176, _166176), _166180), _166182)), c_Transitive__Closure_Otrancl(_166176, _166178))))], (3839 ^ _83868) ^ [_166549, _166551, _166553, _166555] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_166549, _166549)), hAPP(hAPP(c_Product__Type_OPair(_166549, _166549), _166553), _166555)), c_Transitive__Closure_Otrancl(_166549, _166551))), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_166549, hAPP(hAPP(c_COMBC(_166549, tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_fun(_166549, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_166549, tc_fun(tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_fun(_166549, tc_HOL_Obool)), _166549), c_COMBC(_166549, tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_166549, tc_prod(_166549, _166549)), tc_fun(_166549, tc_fun(tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_HOL_Obool)), _166549), hAPP(c_COMBB(tc_prod(_166549, _166549), tc_fun(tc_fun(tc_prod(_166549, _166549), tc_HOL_Obool), tc_HOL_Obool), _166549), c_member(tc_prod(_166549, _166549)))), c_Product__Type_OPair(_166549, _166549)))), _166551)), _166553), _166555)))], (3845 ^ _83868) ^ [_166928, _166930, _166932, _166934] : [hBOOL(hAPP(hAPP(_166928, _166930), _166932)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_166934, _166928), _166930), _166932)))], (3851 ^ _83868) ^ [_167035, _167037, _167039, _167041] : [c_Wellfounded_Owf(_167035, _167037), -(c_Wellfounded_Owf(_167039, hAPP(hAPP(c_Relation_Oinv__image(_167035, _167039), _167037), _167041)))], (3857 ^ _83868) ^ [_167134, _167136, _167138, _167140] : [c_Wellfounded_Owf(_167134, _167136), c_Wellfounded_Owf(_167138, _167140), -(c_Wellfounded_Owf(tc_prod(_167134, _167138), c_Wellfounded_Olex__prod(_167134, _167138, _167136, _167140)))], (3867 ^ _83868) ^ [_167287, _167289, _167291] : [c_Wellfounded_Owf(_167287, _167289), -(c_Wellfounded_Owf(_167287, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_167287, _167287), tc_HOL_Obool), _167291, _167289)))], (3873 ^ _83868) ^ [_167386, _167388, _167390] : [c_Wellfounded_Owf(_167386, _167388), -(c_Wellfounded_Owf(_167386, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_167386, _167386), tc_HOL_Obool), _167388, _167390)))], (3879 ^ _83868) ^ [_167506, _167508, _167510, _167512] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167506, _167508), _167510), _167512)), -(hBOOL(hAPP(hAPP(_167508, _167510), _167512))), 3887 ^ _83868 : [(3888 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167506, _167508), _167510), 3886 ^ [_167506, _167508, _167510, _167512])))], (3890 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_167508, 3886 ^ [_167506, _167508, _167510, _167512]), _167512)))]]], (3892 ^ _83868) ^ [_167718, _167720, _167722, _167724] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167718, _167720), _167722), _167724))), 3893 ^ _83868 : [(3894 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_167720, _167722), _167724))], (3896 ^ _83868) ^ [_167825] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167718, _167720), _167722), _167825)), hBOOL(hAPP(hAPP(_167720, _167825), _167724))]]], (3904 ^ _83868) ^ [_167996, _167998, _168000, _168002] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167996, _167998), _168000), _168002)), -(hBOOL(hAPP(hAPP(_167998, _168000), _168002))), 3912 ^ _83868 : [(3913 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_167996, _167998), _168000), 3911 ^ [_167996, _167998, _168000, _168002])))], (3915 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(_167998, 3911 ^ [_167996, _167998, _168000, _168002]), _168002)))]]], (3917 ^ _83868) ^ [_168492, _168494, _168496, _168498] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_168492, _168494), _168496), _168498))), 3918 ^ _83868 : [(3919 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_168494, _168496), _168498))], (3921 ^ _83868) ^ [_168694] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_168492, _168494), _168496), _168694)), hBOOL(hAPP(hAPP(_168494, _168694), _168498))]]], (3929 ^ _83868) ^ [_169064, _169066, _169068, _169070, _169072] : [hBOOL(hAPP(hAPP(_169064, _169066), _169068)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169070, _169064), _169068), _169072)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169070, _169064), _169066), _169072)))], (3939 ^ _83868) ^ [_169477, _169479, _169481, _169483, _169485] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169477, _169479), _169481), _169483)), hBOOL(hAPP(hAPP(_169479, _169483), _169485)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169477, _169479), _169481), _169485)))], (3949 ^ _83868) ^ [_169890, _169892, _169894, _169896, _169898] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169890, _169892), _169894), _169896)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169890, _169892), _169896), _169898)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_169890, _169892), _169894), _169898)))], (3959 ^ _83868) ^ [_170267, _170269] : [c_Wellfounded_Owf(_170267, _170269), -(c_Wellfounded_Owf(_170267, c_Transitive__Closure_Otrancl(_170267, _170269)))], (3965 ^ _83868) ^ [_170525, _170527, _170529, _170531, _170533] : [hBOOL(hAPP(hAPP(_170525, _170527), _170529)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_170531, _170525), _170529), _170533)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_170531, _170525), _170527), _170533)))], (3975 ^ _83868) ^ [_170924, _170926, _170928, _170930] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_170924, _170926), _170928), _170930)), -(_170928 = _170930), 3982 ^ _83868 : [(3983 ^ _83868) ^ [] : [_170928 = _170930], (3985 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_170924, _170926), _170928), _170930)))]]], (3987 ^ _83868) ^ [_171384, _171386, _171388, _171390] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_171384, _171386), _171388), _171390)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_171384, _171386), _171388), _171390)))], (3993 ^ _83868) ^ [_171680, _171682, _171684, _171686, _171688] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_171680, _171682), _171684), _171686)), hBOOL(hAPP(hAPP(_171682, _171686), _171688)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_171680, _171682), _171684), _171688)))], (4003 ^ _83868) ^ [_172093, _172095, _172097, _172099, _172101] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_172093, _172095), _172097), _172099)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_172093, _172095), _172099), _172101)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_172093, _172095), _172097), _172101)))], (4013 ^ _83868) ^ [_172512, _172514, _172516, _172518, _172520] : [hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(_172512, _172514), _172516), _172518)), hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_172512, _172514), _172518), _172520)), -(hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(_172512, _172514), _172516), _172520)))], (4023 ^ _83868) ^ [_172889, _172891] : [c_Wellfounded_Owf(_172889, _172891), -(c_Wellfounded_Oacyclic(_172889, _172891))], (4029 ^ _83868) ^ [_173113, _173115, _173117] : [c_Wellfounded_Owf(_173113, _173115), hBOOL(hAPP(hAPP(c_member(tc_prod(_173113, _173113)), hAPP(hAPP(c_Product__Type_OPair(_173113, _173113), _173117), _173117)), _173115))], (4035 ^ _83868) ^ [_173396, _173398, _173400, _173402] : [c_Wellfounded_Owf(_173396, _173398), hBOOL(hAPP(hAPP(c_member(tc_prod(_173396, _173396)), hAPP(hAPP(c_Product__Type_OPair(_173396, _173396), _173400), _173402)), _173398)), hBOOL(hAPP(hAPP(c_member(tc_prod(_173396, _173396)), hAPP(hAPP(c_Product__Type_OPair(_173396, _173396), _173402), _173400)), _173398))], (4045 ^ _83868) ^ [_173820, _173822, _173824, _173826] : [c_Wellfounded_Owf(_173820, _173822), hBOOL(hAPP(hAPP(c_member(tc_prod(_173820, _173820)), hAPP(hAPP(c_Product__Type_OPair(_173820, _173820), _173824), _173826)), _173822)), hBOOL(hAPP(hAPP(c_member(tc_prod(_173820, _173820)), hAPP(hAPP(c_Product__Type_OPair(_173820, _173820), _173826), _173824)), _173822))], (4055 ^ _83868) ^ [_174230, _174232, _174234] : [c_Wellfounded_Owf(_174230, _174232), hBOOL(hAPP(hAPP(c_member(tc_prod(_174230, _174230)), hAPP(hAPP(c_Product__Type_OPair(_174230, _174230), _174234), _174234)), _174232))], (4061 ^ _83868) ^ [_174514, _174516] : [c_Wellfounded_Owf(_174514, _174516), 4064 ^ _83868 : [(4065 ^ _83868) ^ [_174640] : [-(hBOOL(hAPP(hAPP(c_member(_174514), _174640), c_Wellfounded_Oacc(_174514, _174516))))]]], (4067 ^ _83868) ^ [_174718, _174720] : [hBOOL(hAPP(hAPP(c_member(_174718), 4068 ^ [_174718, _174720]), c_Wellfounded_Oacc(_174718, _174720))), -(c_Wellfounded_Owf(_174718, _174720))], (4074 ^ _83868) ^ [_175031, _175033, _175035] : [c_Wellfounded_Owf(_175031, _175033), -(hBOOL(hAPP(hAPP(c_member(_175031), _175035), c_Wellfounded_Oacc(_175031, _175033))))], (4080 ^ _83868) ^ [_175280, _175282, _175284, _175286] : [-(c_Fun_Ofun__upd(_175280, _175282, _175284, _175286, hAPP(_175284, _175286)) = _175284)], (4082 ^ _83868) ^ [_175387, _175389] : [-(c_Wellfounded_Owf(_175387, hAPP(c_Wellfounded_Omeasure(_175387), _175389)))], (4084 ^ _83868) ^ [_175563, _175565, _175567, _175569, _175571] : [c_Wellfounded_Owf(_175563, _175565), -(c_Nitpick_Owfrec_H(_175563, _175567, _175565, _175569, _175571) = c_Nitpick_Owf__wfrec_H(_175563, _175567, _175565, _175569, _175571))], (4090 ^ _83868) ^ [_175767, _175769, _175771, _175773, _175775] : [-(c_Wellfounded_Owf(_175767, _175769)), -(c_Nitpick_Owfrec_H(_175767, _175771, _175769, _175773, _175775) = c_HOL_OThe(_175771, c_Recdef_Owfrec__rel(_175767, _175771, _175769, hAPP(hAPP(c_COMBC(tc_fun(_175767, _175771), tc_fun(_175767, _175767), tc_fun(_175767, _175771)), hAPP(hAPP(c_COMBB(tc_fun(_175767, tc_fun(_175767, _175771)), tc_fun(tc_fun(_175767, _175767), tc_fun(_175767, _175771)), tc_fun(_175767, _175771)), c_COMBS(_175767, _175767, _175771)), hAPP(hAPP(c_COMBB(tc_fun(_175767, tc_fun(_175767, _175771)), tc_fun(_175767, tc_fun(_175767, _175771)), tc_fun(_175767, _175771)), hAPP(c_COMBB(tc_fun(_175767, _175771), tc_fun(_175767, _175771), _175767), _175773)), hAPP(hAPP(c_COMBC(tc_fun(_175767, _175771), tc_fun(tc_prod(_175767, _175767), tc_HOL_Obool), tc_fun(_175767, tc_fun(_175767, _175771))), c_Recdef_Ocut(_175767, _175771)), _175769)))), c_COMBI(_175767)), _175775)))], (4096 ^ _83868) ^ [_176324, _176326, _176328, _176330, _176332, _176334] : [_176324 = c_Recdef_Owfrec(_176326, _176328, _176330, _176332), c_Wellfounded_Owf(_176326, _176330), -(hAPP(_176324, _176334) = hAPP(hAPP(_176332, hAPP(hAPP(hAPP(c_Recdef_Ocut(_176326, _176328), _176324), _176330), _176334)), _176334))], (4106 ^ _83868) ^ [_176742, _176744, _176746, _176748, _176750] : [-(hAPP(c_Recdef_Owfrec(_176742, _176744, _176746, _176748), _176750) = c_HOL_OThe(_176744, c_Recdef_Owfrec__rel(_176742, _176744, _176746, hAPP(hAPP(c_COMBC(tc_fun(_176742, _176744), tc_fun(_176742, _176742), tc_fun(_176742, _176744)), hAPP(hAPP(c_COMBB(tc_fun(_176742, tc_fun(_176742, _176744)), tc_fun(tc_fun(_176742, _176742), tc_fun(_176742, _176744)), tc_fun(_176742, _176744)), c_COMBS(_176742, _176742, _176744)), hAPP(hAPP(c_COMBB(tc_fun(_176742, tc_fun(_176742, _176744)), tc_fun(_176742, tc_fun(_176742, _176744)), tc_fun(_176742, _176744)), hAPP(c_COMBB(tc_fun(_176742, _176744), tc_fun(_176742, _176744), _176742), _176748)), hAPP(hAPP(c_COMBC(tc_fun(_176742, _176744), tc_fun(tc_prod(_176742, _176742), tc_HOL_Obool), tc_fun(_176742, tc_fun(_176742, _176744))), c_Recdef_Ocut(_176742, _176744)), _176746)))), c_COMBI(_176742)), _176750)))], (4108 ^ _83868) ^ [_177064, _177066, _177068, _177070, _177072] : [c_Fun_Ofun__upd(_177064, _177066, _177068, _177070, _177072) = _177068, -(hAPP(_177068, _177070) = _177072)], (4114 ^ _83868) ^ [_177262, _177264, _177266, _177268, _177270] : [hAPP(_177266, _177268) = _177270, -(c_Fun_Ofun__upd(_177262, _177264, _177266, _177268, _177270) = _177266)], (4120 ^ _83868) ^ [_177551, _177553, _177555, _177557, _177559, _177561] : [-(c_Fun_Ofun__upd(_177551, _177553, c_Fun_Ofun__upd(_177551, _177553, _177555, _177557, _177559), _177557, _177561) = c_Fun_Ofun__upd(_177551, _177553, _177555, _177557, _177561))], (4122 ^ _83868) ^ [_177713, _177715, _177717, _177719, _177721] : [-(hAPP(c_Fun_Ofun__upd(_177713, _177715, _177717, _177719, _177721), _177719) = _177721)], (4124 ^ _83868) ^ [_177913, _177915, _177917, _177919, _177921, _177923] : [_177913 = _177915, -(hAPP(c_Fun_Ofun__upd(_177917, _177919, _177921, _177915, _177923), _177913) = _177923)], (4130 ^ _83868) ^ [_178117, _178119, _178121, _178123, _178125, _178127] : [-(_178117 = _178119), -(hAPP(c_Fun_Ofun__upd(_178121, _178123, _178125, _178119, _178127), _178117) = hAPP(_178125, _178117))], (4136 ^ _83868) ^ [_178450, _178452, _178454, _178456, _178458, _178460, _178462] : [-(_178450 = _178452), -(c_Fun_Ofun__upd(_178454, _178456, c_Fun_Ofun__upd(_178454, _178456, _178458, _178450, _178460), _178452, _178462) = c_Fun_Ofun__upd(_178454, _178456, c_Fun_Ofun__upd(_178454, _178456, _178458, _178452, _178462), _178450, _178460))], (4142 ^ _83868) ^ [_178797, _178799, _178801, _178803, _178805, _178807] : [-(_178797 = _178799), -(hAPP(c_Fun_Ofun__upd(_178801, _178803, _178805, _178799, _178807), _178797) = hAPP(_178805, _178797))], (4148 ^ _83868) ^ [_179100, _179102, _179104, _179106, _179108] : [hAPP(_179100, _179102) = _179104, -(c_Fun_Ofun__upd(_179106, _179108, _179100, _179102, _179104) = _179100)], (4154 ^ _83868) ^ [_179422, _179424, _179426, _179428, _179430, _179432] : [_179422 = _179424, -(hAPP(c_Fun_Ofun__upd(_179426, _179428, _179430, _179424, _179432), _179422) = _179432)], (4160 ^ _83868) ^ [_179626, _179628, _179630, _179632, _179634, _179636] : [-(_179626 = _179628), -(hAPP(c_Fun_Ofun__upd(_179630, _179632, _179634, _179628, _179636), _179626) = hAPP(_179634, _179626))], (4166 ^ _83868) ^ [_179917, _179919, _179921, _179923] : [c_Wellfounded_Owf(_179921, _179917), 4169 ^ _83868 : [(4170 ^ _83868) ^ [_180072] : [-(hAPP(c_Recdef_Owfrec(_179921, _179923, _179917, _179919), _180072) = hAPP(hAPP(_179919, hAPP(hAPP(hAPP(c_Recdef_Ocut(_179921, _179923), c_Recdef_Owfrec(_179921, _179923, _179917, _179919)), _179917), _180072)), _180072))]]], (4172 ^ _83868) ^ [_180265, _180267, _180269, _180271, _180273] : [c_Wellfounded_Owf(_180265, _180267), -(hAPP(c_Recdef_Owfrec(_180265, _180269, _180267, _180271), _180273) = hAPP(hAPP(_180271, hAPP(hAPP(hAPP(c_Recdef_Ocut(_180265, _180269), c_Recdef_Owfrec(_180265, _180269, _180267, _180271)), _180267), _180273)), _180273))], (4178 ^ _83868) ^ [_180583, _180585, _180587, _180589] : [4180 ^ _83868 : [(4181 ^ _83868) ^ [] : [-(hBOOL(hAPP(_180583, 4179 ^ [_180583, _180585, _180587, _180589])))], (4183 ^ _83868) ^ [] : [c_Wellfounded_Owf(_180585, hAPP(_180587, 4179 ^ [_180583, _180585, _180587, _180589]))]], -(c_Wellfounded_Owf(tc_prod(_180589, _180585), c_Recdef_Osame__fst(_180589, _180585, _180583, _180587)))], (4187 ^ _83868) ^ [_180986, _180988] : [-(c_HOL_OThe(_180986, hAPP(c_fequal, _180988)) = _180988)], (4189 ^ _83868) ^ [_181086, _181088] : [-(c_HOL_OThe(_181086, hAPP(hAPP(c_COMBC(_181086, _181086, tc_HOL_Obool), c_fequal), _181088)) = _181088)], (4191 ^ _83868) ^ [_181250, _181252, _181254, _181256, _181258] : [c_Recdef_Oadm__wf(_181250, _181252, _181254, _181256), c_Wellfounded_Owf(_181250, _181254), 4199 ^ _83868 : [(4200 ^ _83868) ^ [] : [-(hBOOL(hAPP(c_Recdef_Owfrec__rel(_181250, _181252, _181254, _181256, _181258), 4198 ^ [_181250, _181252, _181254, _181256, _181258])))], (4202 ^ _83868) ^ [_181710] : [hBOOL(hAPP(c_Recdef_Owfrec__rel(_181250, _181252, _181254, _181256, _181258), _181710)), -(_181710 = 4198 ^ [_181250, _181252, _181254, _181256, _181258])]]], (4208 ^ _83868) ^ [_182036, _182038] : [c_Wellfounded_OwfP(_182036, hAPP(hAPP(c_COMBC(_182036, tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_fun(_182036, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_182036, tc_fun(tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_fun(_182036, tc_HOL_Obool)), _182036), c_COMBC(_182036, tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_182036, tc_prod(_182036, _182036)), tc_fun(_182036, tc_fun(tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_HOL_Obool)), _182036), hAPP(c_COMBB(tc_prod(_182036, _182036), tc_fun(tc_fun(tc_prod(_182036, _182036), tc_HOL_Obool), tc_HOL_Obool), _182036), c_member(tc_prod(_182036, _182036)))), c_Product__Type_OPair(_182036, _182036)))), _182038)), -(c_Wellfounded_Owf(_182036, _182038))], (4214 ^ _83868) ^ [_182434, _182436] : [c_Wellfounded_Owf(_182434, _182436), -(c_Wellfounded_OwfP(_182434, hAPP(hAPP(c_COMBC(_182434, tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_fun(_182434, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_182434, tc_fun(tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_fun(_182434, tc_HOL_Obool)), _182434), c_COMBC(_182434, tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_182434, tc_prod(_182434, _182434)), tc_fun(_182434, tc_fun(tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_HOL_Obool)), _182434), hAPP(c_COMBB(tc_prod(_182434, _182434), tc_fun(tc_fun(tc_prod(_182434, _182434), tc_HOL_Obool), tc_HOL_Obool), _182434), c_member(tc_prod(_182434, _182434)))), c_Product__Type_OPair(_182434, _182434)))), _182436)))], (4237 ^ _83868) ^ [_183792, _183794] : [-(c_Wellfounded_Owf(_183792, _183794)), 4240 ^ _83868 : [(4241 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_183792), 4239 ^ [_183792, _183794]), 4238 ^ [_183792, _183794])))], (4243 ^ _83868) ^ [_184219] : [hBOOL(hAPP(hAPP(c_member(_183792), _184219), 4238 ^ [_183792, _183794])), 4247 ^ _83868 : [(4248 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_183792, _183792)), hAPP(hAPP(c_Product__Type_OPair(_183792, _183792), 4246 ^ [_183792, _183794, _184219]), _184219)), _183794)))], (4250 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_183792), 4246 ^ [_183792, _183794, _184219]), 4238 ^ [_183792, _183794])))]]]]], (4220 ^ _83868) ^ [_182911, _182913] : [c_Wellfounded_Owf(_182911, _182913), 4223 ^ _83868 : [(4224 ^ _83868) ^ [_183117] : [4225 ^ _83868 : [(4226 ^ _83868) ^ [_183257] : [hBOOL(hAPP(hAPP(c_member(_182911), _183257), _183117))]], 4228 ^ _83868 : [(4229 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_182911), 4227 ^ [_182911, _182913, _183117]), _183117)))], (4231 ^ _83868) ^ [_183528] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_182911, _182911)), hAPP(hAPP(c_Product__Type_OPair(_182911, _182911), _183528), 4227 ^ [_182911, _182913, _183117])), _182913)), hBOOL(hAPP(hAPP(c_member(_182911), _183528), _183117))]]]]], (4254 ^ _83868) ^ [_184751] : [-(c_Wellfounded_OwfP(_184751, c_COMBK(tc_fun(_184751, tc_HOL_Obool), _184751, c_COMBK(tc_HOL_Obool, _184751, c_fFalse))))], (4256 ^ _83868) ^ [_184883, _184885, _184887] : [c_Wellfounded_OwfP(_184883, _184885), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_184883, _184885), _184887)))], (4262 ^ _83868) ^ [_185138, _185140] : [c_Wellfounded_OwfP(_185138, _185140), 4265 ^ _83868 : [(4266 ^ _83868) ^ [_185259] : [-(hBOOL(hAPP(c_Wellfounded_Oaccp(_185138, _185140), _185259)))]]], (4268 ^ _83868) ^ [_185332, _185334] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_185332, _185334), 4269 ^ [_185332, _185334])), -(c_Wellfounded_OwfP(_185332, _185334))], (4275 ^ _83868) ^ [_185616, _185618] : [c_Wellfounded_OwfP(_185616, _185618), -(c_Wellfounded_OwfP(_185616, c_Transitive__Closure_Otranclp(_185616, _185618)))], (4281 ^ _83868) ^ [_185832, _185834] : [c_Wellfounded_Owf(_185832, _185834), -(c_Wellfounded_OwfP(_185832, c_FunDef_Oin__rel(_185832, _185832, _185834)))], (4287 ^ _83868) ^ [_186077, _186079, _186081, _186083, _186085] : [-(c_Fun_Othe__inv__into(_186077, _186079, _186081, _186083, _186085) = c_HOL_OThe(_186077, hAPP(hAPP(c_COMBS(_186077, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _186077), c_fconj), hAPP(hAPP(c_COMBC(_186077, tc_fun(_186077, tc_HOL_Obool), tc_HOL_Obool), c_member(_186077)), _186081))), hAPP(hAPP(c_COMBC(_186077, _186079, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_186079, tc_fun(_186079, tc_HOL_Obool), _186077), c_fequal), _186083)), _186085))))], (4289 ^ _83868) ^ [_186259, _186261] : [hBOOL(hAPP(hAPP(c_member(_186259), 4290 ^ [_186259, _186261]), c_Wellfounded_Oacc(_186259, _186261))), -(c_Wellfounded_Owf(_186259, _186261))], (4296 ^ _83868) ^ [_186613, _186615, _186617, _186619] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_186613, _186613)), hAPP(hAPP(c_Product__Type_OPair(_186613, _186613), _186615), _186617)), hAPP(c_Wellfounded_Omeasure(_186613), _186619))), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_186619, _186615), hAPP(_186619, _186617)))], (4302 ^ _83868) ^ [_186849, _186851, _186853, _186855] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_186855, _186851), hAPP(_186855, _186853)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_186849, _186849)), hAPP(hAPP(c_Product__Type_OPair(_186849, _186849), _186851), _186853)), hAPP(c_Wellfounded_Omeasure(_186849), _186855))))], (4308 ^ _83868) ^ [_187163, _187165, _187167, _187169] : [class_Lattices_Osemilattice__inf(_187163), c_Orderings_Oord__class_Oless(_187163, _187165, _187167), -(c_Orderings_Oord__class_Oless(_187163, c_Lattices_Osemilattice__inf__class_Oinf(_187163, _187169, _187165), _187167))], (4318 ^ _83868) ^ [_187520, _187522, _187524, _187526] : [class_Lattices_Osemilattice__inf(_187520), c_Orderings_Oord__class_Oless(_187520, _187522, _187524), -(c_Orderings_Oord__class_Oless(_187520, c_Lattices_Osemilattice__inf__class_Oinf(_187520, _187522, _187526), _187524))], (4328 ^ _83868) ^ [_187891, _187893, _187895, _187897, _187899] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_187891, _187893), hAPP(_187891, _187895)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_187897, _187897)), hAPP(hAPP(c_Product__Type_OPair(_187897, _187897), _187893), _187895)), c_Wellfounded_Omlex__prod(_187897, _187891, _187899))))], (4334 ^ _83868) ^ [_188255, _188257, _188259, _188261, _188263, _188265] : [hBOOL(hAPP(hAPP(c_member(_188255), _188257), _188259)), -(c_Fun_Ooverride__on(_188255, _188261, _188263, _188265, _188259, _188257) = hAPP(_188265, _188257))], (4340 ^ _83868) ^ [_188475, _188477, _188479, _188481, _188483, _188485] : [-(hBOOL(hAPP(hAPP(c_member(_188475), _188477), _188479))), -(c_Fun_Ooverride__on(_188475, _188481, _188483, _188485, _188479, _188477) = hAPP(_188483, _188477))], (4346 ^ _83868) ^ [_188719] : [-(c_Wellfounded_Omeasure(_188719) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _188719), c_Wellfounded_Oless__than))], (4348 ^ _83868) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than))], (4350 ^ _83868) ^ [_188915, _188917, _188919, _188921] : [c_Orderings_Oord__class_Oless(tc_fun(_188915, tc_HOL_Obool), _188917, _188919), hBOOL(hAPP(hAPP(c_member(_188915), _188921), _188917)), -(hBOOL(hAPP(hAPP(c_member(_188915), _188921), _188919)))], (4360 ^ _83868) ^ [_189269, _189271, _189273] : [-(c_Wellfounded_Omlex__prod(_189269, _189271, _189273) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _189269), _189269), c_Wellfounded_Olex__prod(tc_Nat_Onat, _189269, c_Wellfounded_Oless__than, _189273)), hAPP(hAPP(c_COMBS(_189269, _189269, tc_prod(tc_Nat_Onat, _189269)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_189269, tc_prod(tc_Nat_Onat, _189269)), _189269), c_Product__Type_OPair(tc_Nat_Onat, _189269)), _189271)), c_COMBI(_189269))))], (4362 ^ _83868) ^ [_189464, _189466] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _189464), _189466)), c_Wellfounded_Oless__than)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _189464, _189466))], (4368 ^ _83868) ^ [_189650, _189652] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _189650, _189652), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _189650), _189652)), c_Wellfounded_Oless__than)))], (4374 ^ _83868) ^ [_189942, _189944, _189946, _189948, _189950, _189952] : [-(hBOOL(hAPP(hAPP(c_member(_189942), _189944), _189946))), -(c_Fun_Ooverride__on(_189942, _189948, _189950, _189952, _189946, _189944) = hAPP(_189950, _189944))], (4380 ^ _83868) ^ [_190269, _190271, _190273, _190275, _190277, _190279] : [hBOOL(hAPP(hAPP(c_member(_190269), _190271), _190273)), -(c_Fun_Ooverride__on(_190269, _190275, _190277, _190279, _190273, _190271) = hAPP(_190279, _190271))], (4386 ^ _83868) ^ [_190551, _190553, _190555] : [c_Wellfounded_Owf(_190551, _190553), -(c_Wellfounded_Owf(_190551, c_Wellfounded_Omlex__prod(_190551, _190555, _190553)))], (4392 ^ _83868) ^ [] : [-(c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (4394 ^ _83868) ^ [_190870, _190872, _190874, _190876, _190878] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(_190870, _190872), hAPP(_190870, _190874)), hBOOL(hAPP(hAPP(c_member(tc_prod(_190876, _190876)), hAPP(hAPP(c_Product__Type_OPair(_190876, _190876), _190872), _190874)), _190878)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_190876, _190876)), hAPP(hAPP(c_Product__Type_OPair(_190876, _190876), _190872), _190874)), c_Wellfounded_Omlex__prod(_190876, _190870, _190878))))], (4404 ^ _83868) ^ [_191297, _191299] : [c_Wellfounded_Oacyclic(_191297, _191299), -(c_Relation_Oantisym(_191297, c_Transitive__Closure_Ortrancl(_191297, _191299)))], (4410 ^ _83868) ^ [_191513, _191515] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _191513, _191515), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _191513, _191515))], (4416 ^ _83868) ^ [_191755, _191757, _191759, _191761] : [c_Orderings_Oord__class_Oless(tc_fun(_191755, tc_HOL_Obool), _191757, _191759), c_Orderings_Oord__class_Oless(tc_fun(_191755, tc_HOL_Obool), _191759, _191761), -(c_Orderings_Oord__class_Oless(tc_fun(_191755, tc_HOL_Obool), _191757, _191761))], (4426 ^ _83868) ^ [] : [-(c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat))], (4428 ^ _83868) ^ [_192180, _192182] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _192180), _192182)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _192180, _192182))], (4434 ^ _83868) ^ [_192366, _192368] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _192366, _192368), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _192366), _192368)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))))], (4440 ^ _83868) ^ [_192630, _192632, _192634, _192636] : [class_Lattices_Osemilattice__inf(_192630), c_Orderings_Oord__class_Oless__eq(_192630, _192632, c_Lattices_Osemilattice__inf__class_Oinf(_192630, _192634, _192636)), 4447 ^ _83868 : [(4448 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_192630, _192632, _192634))], (4450 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_192630, _192632, _192636))]]], (4452 ^ _83868) ^ [_193086, _193088, _193090, _193092, _193094] : [class_Lattices_Osemilattice__inf(_193086), c_Orderings_Oord__class_Oless__eq(_193086, _193088, _193090), c_Orderings_Oord__class_Oless__eq(_193086, _193092, _193094), -(c_Orderings_Oord__class_Oless__eq(_193086, c_Lattices_Osemilattice__inf__class_Oinf(_193086, _193088, _193092), c_Lattices_Osemilattice__inf__class_Oinf(_193086, _193090, _193094)))], (4466 ^ _83868) ^ [_193564, _193566, _193568, _193570] : [class_Lattices_Osemilattice__inf(_193564), c_Orderings_Oord__class_Oless__eq(_193564, _193566, _193568), c_Orderings_Oord__class_Oless__eq(_193564, _193566, _193570), -(c_Orderings_Oord__class_Oless__eq(_193564, _193566, c_Lattices_Osemilattice__inf__class_Oinf(_193564, _193568, _193570)))], (4480 ^ _83868) ^ [_194020, _194022, _194024, _194026] : [class_Lattices_Osemilattice__inf(_194020), c_Orderings_Oord__class_Oless__eq(_194020, _194022, _194024), c_Orderings_Oord__class_Oless__eq(_194020, _194022, _194026), -(c_Orderings_Oord__class_Oless__eq(_194020, _194022, c_Lattices_Osemilattice__inf__class_Oinf(_194020, _194024, _194026)))], (4494 ^ _83868) ^ [_194462, _194464, _194466] : [class_Lattices_Osemilattice__inf(_194462), c_Orderings_Oord__class_Oless__eq(_194462, _194464, _194466), -(c_Lattices_Osemilattice__inf__class_Oinf(_194462, _194466, _194464) = _194464)], (4504 ^ _83868) ^ [_194793, _194795, _194797] : [class_Lattices_Osemilattice__inf(_194793), c_Orderings_Oord__class_Oless__eq(_194793, _194795, _194797), -(c_Lattices_Osemilattice__inf__class_Oinf(_194793, _194795, _194797) = _194795)], (4514 ^ _83868) ^ [_195138, _195140, _195142, _195144] : [class_Lattices_Osemilattice__inf(_195138), c_Orderings_Oord__class_Oless__eq(_195138, _195140, _195142), -(c_Orderings_Oord__class_Oless__eq(_195138, c_Lattices_Osemilattice__inf__class_Oinf(_195138, _195144, _195140), _195142))], (4524 ^ _83868) ^ [_195495, _195497, _195499, _195501] : [class_Lattices_Osemilattice__inf(_195495), c_Orderings_Oord__class_Oless__eq(_195495, _195497, _195499), -(c_Orderings_Oord__class_Oless__eq(_195495, c_Lattices_Osemilattice__inf__class_Oinf(_195495, _195497, _195501), _195499))], (4534 ^ _83868) ^ [_195852, _195854, _195856, _195858] : [class_Lattices_Osemilattice__inf(_195852), 4537 ^ _83868 : [(4538 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(_195852, _195854, c_Lattices_Osemilattice__inf__class_Oinf(_195852, _195856, _195858)), 4541 ^ _83868 : [(4542 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_195852, _195854, _195856))], (4544 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_195852, _195854, _195858))]]], (4546 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_195852, _195854, c_Lattices_Osemilattice__inf__class_Oinf(_195852, _195856, _195858))), c_Orderings_Oord__class_Oless__eq(_195852, _195854, _195856), c_Orderings_Oord__class_Oless__eq(_195852, _195854, _195858)]]], (4556 ^ _83868) ^ [_196547, _196549, _196551] : [class_Lattices_Osemilattice__inf(_196547), 4559 ^ _83868 : [(4560 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(_196547, _196549, _196551), -(c_Lattices_Osemilattice__inf__class_Oinf(_196547, _196549, _196551) = _196549)], (4566 ^ _83868) ^ [] : [c_Lattices_Osemilattice__inf__class_Oinf(_196547, _196549, _196551) = _196549, -(c_Orderings_Oord__class_Oless__eq(_196547, _196549, _196551))]]], (4572 ^ _83868) ^ [_197050, _197052, _197054] : [class_Lattices_Osemilattice__inf(_197050), -(c_Orderings_Oord__class_Oless__eq(_197050, c_Lattices_Osemilattice__inf__class_Oinf(_197050, _197052, _197054), _197054))], (4578 ^ _83868) ^ [_197288, _197290, _197292] : [class_Lattices_Olattice(_197288), -(c_Orderings_Oord__class_Oless__eq(_197288, c_Lattices_Osemilattice__inf__class_Oinf(_197288, _197290, _197292), _197292))], (4584 ^ _83868) ^ [_197526, _197528, _197530] : [class_Lattices_Osemilattice__inf(_197526), -(c_Orderings_Oord__class_Oless__eq(_197526, c_Lattices_Osemilattice__inf__class_Oinf(_197526, _197528, _197530), _197528))], (4590 ^ _83868) ^ [_197764, _197766, _197768] : [class_Lattices_Olattice(_197764), -(c_Orderings_Oord__class_Oless__eq(_197764, c_Lattices_Osemilattice__inf__class_Oinf(_197764, _197766, _197768), _197766))], (4596 ^ _83868) ^ [_197959] : [-(c_Relation_Oantisym(_197959, c_Relation_OId(_197959)))], (4598 ^ _83868) ^ [_198053, _198055] : [-(c_Relation_Oantisym(_198053, c_Relation_OId__on(_198053, _198055)))], (4600 ^ _83868) ^ [_198194, _198196] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _198194), _198196)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _198194, _198196))], (4606 ^ _83868) ^ [_198380, _198382] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _198380, _198382), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _198380), _198382)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))))], (4626 ^ _83868) ^ [_199201, _199203] : [4629 ^ _83868 : [(4630 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_199201, _199201)), hAPP(hAPP(c_Product__Type_OPair(_199201, _199201), 4627 ^ [_199201, _199203]), 4628 ^ [_199201, _199203])), _199203)))], (4632 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_199201, _199201)), hAPP(hAPP(c_Product__Type_OPair(_199201, _199201), 4628 ^ [_199201, _199203]), 4627 ^ [_199201, _199203])), _199203)))], (4634 ^ _83868) ^ [] : [4627 ^ [_199201, _199203] = 4628 ^ [_199201, _199203]]], -(c_Relation_Oantisym(_199201, _199203))], (4612 ^ _83868) ^ [_198645, _198647] : [c_Relation_Oantisym(_198645, _198647), 4615 ^ _83868 : [(4616 ^ _83868) ^ [_198845, _198847] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_198645, _198645)), hAPP(hAPP(c_Product__Type_OPair(_198645, _198645), _198847), _198845)), _198647)), hBOOL(hAPP(hAPP(c_member(tc_prod(_198645, _198645)), hAPP(hAPP(c_Product__Type_OPair(_198645, _198645), _198845), _198847)), _198647)), -(_198847 = _198845)]]], (4638 ^ _83868) ^ [_199934, _199936, _199938, _199940] : [c_Relation_Oantisym(_199934, _199936), hBOOL(hAPP(hAPP(c_member(tc_prod(_199934, _199934)), hAPP(hAPP(c_Product__Type_OPair(_199934, _199934), _199938), _199940)), _199936)), hBOOL(hAPP(hAPP(c_member(tc_prod(_199934, _199934)), hAPP(hAPP(c_Product__Type_OPair(_199934, _199934), _199940), _199938)), _199936)), -(_199938 = _199940)], (4652 ^ _83868) ^ [_200426, _200428] : [class_Orderings_Opreorder(_200426), -(c_Orderings_Oord__class_Oless__eq(_200426, _200428, _200428))], (4658 ^ _83868) ^ [_200636, _200638] : [4659 ^ _83868 : [(4660 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _200636, _200638)], (4662 ^ _83868) ^ [] : [_200636 = _200638]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _200636, _200638))], (4666 ^ _83868) ^ [_200924, _200926] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _200924, _200926), -(_200924 = _200926), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _200924, _200926))], (4676 ^ _83868) ^ [_201258, _201260, _201262, _201264] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_201258, tc_HOL_Obool), _201260, _201262), hBOOL(hAPP(hAPP(c_member(_201258), _201264), _201260)), -(hBOOL(hAPP(hAPP(c_member(_201258), _201264), _201262)))], (4686 ^ _83868) ^ [_201656, _201658, _201660] : [c_Orderings_Oord__class_Oless(tc_fun(_201656, tc_HOL_Obool), _201658, _201660), 4689 ^ _83868 : [(4690 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_201656, tc_HOL_Obool), _201658, _201660))], (4692 ^ _83868) ^ [] : [_201658 = _201660]]], (4694 ^ _83868) ^ [_201918, _201920, _201922] : [-(c_Orderings_Oord__class_Oless(tc_fun(_201918, tc_HOL_Obool), _201920, _201922)), 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(4832 ^ _83868) ^ [_207913, _207915, _207917, _207919, _207921] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_207913, tc_HOL_Obool), _207915, _207917), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_207913, _207919), tc_HOL_Obool), c_FuncSet_OPi(_207913, _207919, _207917, _207921), c_FuncSet_OPi(_207913, _207919, _207915, _207921)))], (4838 ^ _83868) ^ [_208197, _208199, _208201] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_208197, _208197), tc_HOL_Obool), _208199, _208201), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_208197, tc_HOL_Obool), c_Wellfounded_Oacc(_208197, _208201), c_Wellfounded_Oacc(_208197, _208199)))], (4844 ^ _83868) ^ [_208461, _208463, _208465] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_208461, tc_fun(_208461, tc_HOL_Obool)), _208463, _208465), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_208461, tc_HOL_Obool), c_Wellfounded_Oaccp(_208461, _208465), c_Wellfounded_Oaccp(_208461, _208463)))], (4850 ^ _83868) ^ [_208725, _208727, _208729] : 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c_member(_212731)), _212735)))], (4952 ^ _83868) ^ [_213053, _213055, _213057, _213059] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_213053, _213055), tc_HOL_Obool), _213057, _213059), c_Relation_Osingle__valued(_213053, _213055, _213059), -(c_Relation_Osingle__valued(_213053, _213055, _213057))], (4962 ^ _83868) ^ [_213404, _213406, _213408] : [c_Wellfounded_Oacyclic(_213404, _213406), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_213404, _213404), tc_HOL_Obool), _213408, _213406), -(c_Wellfounded_Oacyclic(_213404, _213408))], (4972 ^ _83868) ^ [_213726, _213728, _213730] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_213726, tc_HOL_Obool), _213728, c_Set_Oinsert(_213726, _213730, _213728)))], (4974 ^ _83868) ^ [_213873, _213875, _213877, _213879] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213873, tc_HOL_Obool), _213875, _213877), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_213873, tc_HOL_Obool), _213875, c_Set_Oinsert(_213873, _213879, _213877)))], (4980 ^ _83868) ^ [_214147, _214149, _214151, _214153] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_214147, tc_HOL_Obool), _214149, _214151), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_214147, tc_HOL_Obool), c_Set_Oinsert(_214147, _214153, _214149), c_Set_Oinsert(_214147, _214153, _214151)))], (4986 ^ _83868) ^ [_214458, _214460, _214462, _214464] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_214458, tc_HOL_Obool), c_Set_Oinsert(_214458, _214460, _214462), _214464), 4989 ^ _83868 : [(4990 ^ _83868) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_214458), _214460), _214464)))], (4992 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_214458, tc_HOL_Obool), _214462, _214464))]]], (4994 ^ _83868) ^ [_214749, _214751, _214753, _214755] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_214749, tc_HOL_Obool), c_Set_Oinsert(_214749, _214751, _214753), _214755)), hBOOL(hAPP(hAPP(c_member(_214749), _214751), _214755)), c_Orderings_Oord__class_Oless__eq(tc_fun(_214749, tc_HOL_Obool), _214753, _214755)], (5004 ^ _83868) ^ [_215136, _215138, _215140, _215142] : [-(hBOOL(hAPP(hAPP(c_member(_215136), _215138), _215140))), 5007 ^ _83868 : [(5008 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_215136, tc_HOL_Obool), _215140, c_Set_Oinsert(_215136, _215138, _215142)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_215136, tc_HOL_Obool), _215140, _215142))], (5014 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_215136, tc_HOL_Obool), _215140, _215142), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_215136, tc_HOL_Obool), _215140, c_Set_Oinsert(_215136, _215138, _215142)))]]], (5020 ^ _83868) ^ [_215709, _215711, _215713, _215715] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_215709, _215709)), _215711), c_Transitive__Closure_Otrancl(_215709, _215713))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_215709, _215709), tc_HOL_Obool), _215713, _215715), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_215709, _215709)), _215711), c_Transitive__Closure_Otrancl(_215709, _215715))))], (5030 ^ _83868) ^ [_216136, _216138, _216140, _216142, _216144] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_216136, _216138)), _216140), c_FuncSet_Oextensional(_216136, _216138, _216142))), c_Orderings_Oord__class_Oless__eq(tc_fun(_216136, tc_HOL_Obool), _216142, _216144), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_216136, _216138)), _216140), c_FuncSet_Oextensional(_216136, _216138, _216144))))], (5040 ^ _83868) ^ [_216557, _216559, _216561, _216563] : [class_Orderings_Oord(_216557), 5043 ^ _83868 : [(5044 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_216559, _216557), _216561, _216563), 5047 ^ _83868 : [(5048 ^ _83868) ^ [_216816] : [-(c_Orderings_Oord__class_Oless__eq(_216557, hAPP(_216561, _216816), hAPP(_216563, _216816)))]]], (5050 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(_216557, hAPP(_216561, 5051 ^ [_216557, _216559, _216561, _216563]), hAPP(_216563, 5051 ^ [_216557, _216559, _216561, _216563])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_216559, _216557), _216561, _216563))]]], (5057 ^ _83868) ^ [_217198, _217200, _217202] : [class_Orderings_Olinorder(_217198), -(c_Orderings_Oord__class_Oless__eq(_217198, _217200, _217202)), -(c_Orderings_Oord__class_Oless__eq(_217198, _217202, _217200))], (5067 ^ _83868) ^ [_217524, _217526, _217528] : [class_Orderings_Oorder(_217524), 5070 ^ _83868 : [(5071 ^ _83868) ^ [] : [_217526 = _217528, 5074 ^ _83868 : [(5075 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217524, _217526, _217528))], (5077 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217524, _217528, _217526))]]], (5079 ^ _83868) ^ [] : [-(_217526 = _217528), c_Orderings_Oord__class_Oless__eq(_217524, _217526, _217528), c_Orderings_Oord__class_Oless__eq(_217524, _217528, _217526)]]], (5089 ^ _83868) ^ [_218182, _218184, _218186] : [class_Orderings_Opreorder(_218182), _218184 = _218186, -(c_Orderings_Oord__class_Oless__eq(_218182, _218184, _218186))], (5099 ^ _83868) ^ [_218533, _218535, _218537, _218539, _218541] : [class_Orderings_Oord(_218533), c_Orderings_Oord__class_Oless__eq(tc_fun(_218535, _218533), _218537, _218539), -(c_Orderings_Oord__class_Oless__eq(_218533, hAPP(_218537, _218541), hAPP(_218539, _218541)))], (5109 ^ _83868) ^ [_218896, _218898, _218900] : [class_Orderings_Oorder(_218896), c_Orderings_Oord__class_Oless__eq(_218896, _218898, _218900), 5116 ^ _83868 : [(5117 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(_218896, _218900, _218898), -(_218900 = _218898)], (5123 ^ _83868) ^ [] : [_218900 = _218898, -(c_Orderings_Oord__class_Oless__eq(_218896, _218900, _218898))]]], (5129 ^ _83868) ^ [_219496, _219498, _219500, _219502] : [class_Orderings_Oord(_219496), _219498 = _219500, c_Orderings_Oord__class_Oless__eq(_219496, _219500, _219502), -(c_Orderings_Oord__class_Oless__eq(_219496, _219498, _219502))], (5143 ^ _83868) ^ [_219942, _219944, _219946, _219948] : [class_Orderings_Oorder(_219942), _219944 = _219946, c_Orderings_Oord__class_Oless__eq(_219942, _219948, _219946), -(c_Orderings_Oord__class_Oless__eq(_219942, _219948, _219944))], (5157 ^ _83868) ^ [_220388, _220390, _220392, _220394] : [class_Orderings_Oord(_220388), c_Orderings_Oord__class_Oless__eq(_220388, _220390, _220392), _220392 = _220394, -(c_Orderings_Oord__class_Oless__eq(_220388, _220390, _220394))], (5171 ^ _83868) ^ [_220834, _220836, _220838, _220840] : [class_Orderings_Oorder(_220834), c_Orderings_Oord__class_Oless__eq(_220834, _220836, _220838), _220836 = _220840, -(c_Orderings_Oord__class_Oless__eq(_220834, _220840, _220838))], (5185 ^ _83868) ^ [_221266, _221268, _221270] : [class_Orderings_Oorder(_221266), c_Orderings_Oord__class_Oless__eq(_221266, _221268, _221270), c_Orderings_Oord__class_Oless__eq(_221266, _221270, _221268), -(_221268 = _221270)], (5199 ^ _83868) ^ [_221698, _221700, _221702, _221704] : [class_Orderings_Opreorder(_221698), c_Orderings_Oord__class_Oless__eq(_221698, _221700, _221702), c_Orderings_Oord__class_Oless__eq(_221698, _221702, _221704), -(c_Orderings_Oord__class_Oless__eq(_221698, _221700, _221704))], (5213 ^ _83868) ^ [_222132, _222134, _222136] : [class_Orderings_Oorder(_222132), c_Orderings_Oord__class_Oless__eq(_222132, _222134, _222136), c_Orderings_Oord__class_Oless__eq(_222132, _222136, _222134), -(_222136 = _222134)], (5227 ^ _83868) ^ [_222564, _222566, _222568, _222570] : [class_Orderings_Oorder(_222564), c_Orderings_Oord__class_Oless__eq(_222564, _222566, _222568), c_Orderings_Oord__class_Oless__eq(_222564, _222570, _222566), -(c_Orderings_Oord__class_Oless__eq(_222564, _222570, _222568))], (5241 ^ _83868) ^ [_223026, _223028, _223030, _223032, _223034] : [class_Orderings_Oord(_223026), c_Orderings_Oord__class_Oless__eq(tc_fun(_223028, _223026), _223030, _223032), -(c_Orderings_Oord__class_Oless__eq(_223026, hAPP(_223030, _223034), hAPP(_223032, _223034)))], (5251 ^ _83868) ^ [_223389, _223391, _223393] : [class_Orderings_Olinorder(_223389), -(c_Orderings_Oord__class_Oless__eq(_223389, _223391, _223393)), -(c_Orderings_Oord__class_Oless__eq(_223389, _223393, _223391))], (5261 ^ _83868) ^ [_223703, _223705] : [class_Orderings_Opreorder(_223703), c_Orderings_Oord__class_Oless(_223703, _223705, _223705)], (5267 ^ _83868) ^ [_223928, _223930, _223932] : [class_Orderings_Olinorder(_223928), 5270 ^ _83868 : [(5281 ^ _83868) ^ [] : [5282 ^ _83868 : [(5283 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(_223928, _223930, _223932)], (5285 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(_223928, _223932, _223930)]], _223930 = _223932], (5271 ^ _83868) ^ [] : [-(_223930 = _223932), -(c_Orderings_Oord__class_Oless(_223928, _223930, _223932)), -(c_Orderings_Oord__class_Oless(_223928, _223932, _223930))]]], (5289 ^ _83868) ^ [_224588, _224590, _224592] : [class_Orderings_Olinorder(_224588), 5292 ^ _83868 : [(5303 ^ _83868) ^ [] : [5304 ^ _83868 : [(5305 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(_224588, _224592, _224590)], (5307 ^ _83868) ^ [] : [_224590 = _224592]], c_Orderings_Oord__class_Oless(_224588, _224590, _224592)], (5293 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless(_224588, _224590, _224592)), -(c_Orderings_Oord__class_Oless(_224588, _224592, _224590)), -(_224590 = _224592)]]], (5311 ^ _83868) ^ [_225248, _225250, _225252] : [class_Orderings_Olinorder(_225248), -(c_Orderings_Oord__class_Oless(_225248, _225250, _225252)), -(_225250 = _225252), -(c_Orderings_Oord__class_Oless(_225248, _225252, _225250))], (5325 ^ _83868) ^ [_225668, _225670, _225672] : [class_Orderings_Olinorder(_225668), -(c_Orderings_Oord__class_Oless(_225668, _225670, _225672)), 5332 ^ _83868 : [(5333 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless(_225668, _225672, _225670)), -(_225672 = _225670)], (5339 ^ _83868) ^ [] : [_225672 = _225670, c_Orderings_Oord__class_Oless(_225668, _225672, _225670)]]], (5345 ^ _83868) ^ [_226259, _226261, _226263] : [class_Orderings_Olinorder(_226259), -(_226261 = _226263), -(c_Orderings_Oord__class_Oless(_226259, _226261, _226263)), -(c_Orderings_Oord__class_Oless(_226259, _226263, _226261))], (5359 ^ _83868) ^ [_226683, _226685, _226687] : [class_Orderings_Oorder(_226683), c_Orderings_Oord__class_Oless(_226683, _226685, _226687), _226685 = _226687], (5369 ^ _83868) ^ [_227007, _227009, _227011] : [class_Orderings_Opreorder(_227007), c_Orderings_Oord__class_Oless(_227007, _227009, _227011), c_Orderings_Oord__class_Oless(_227007, _227011, _227009)], (5379 ^ _83868) ^ [_227333, _227335, _227337] : [class_Orderings_Opreorder(_227333), c_Orderings_Oord__class_Oless(_227333, _227335, _227337), c_Orderings_Oord__class_Oless(_227333, _227337, _227335)], (5389 ^ _83868) ^ [_227659, _227661, _227663] : [class_Orderings_Oorder(_227659), c_Orderings_Oord__class_Oless(_227659, _227661, _227663), _227661 = _227663], (5399 ^ _83868) ^ [_227983, _227985, _227987] : [class_Orderings_Oorder(_227983), c_Orderings_Oord__class_Oless(_227983, _227985, _227987), _227987 = _227985], (5409 ^ _83868) ^ [_228307, _228309, _228311] : [class_Orderings_Opreorder(_228307), c_Orderings_Oord__class_Oless(_228307, _228309, _228311), c_Orderings_Oord__class_Oless(_228307, _228311, _228309)], (5419 ^ _83868) ^ [_228633, _228635, _228637] : [class_Orderings_Oorder(_228633), c_Orderings_Oord__class_Oless(_228633, _228635, _228637), c_Orderings_Oord__class_Oless(_228633, _228637, _228635)], (5429 ^ _83868) ^ [_228973, _228975, _228977, _228979] : [class_Orderings_Oord(_228973), _228975 = _228977, c_Orderings_Oord__class_Oless(_228973, _228977, _228979), -(c_Orderings_Oord__class_Oless(_228973, _228975, _228979))], (5443 ^ _83868) ^ [_229419, _229421, _229423, _229425] : [class_Orderings_Oorder(_229419), _229421 = _229423, c_Orderings_Oord__class_Oless(_229419, _229425, _229423), -(c_Orderings_Oord__class_Oless(_229419, _229425, _229421))], (5457 ^ _83868) ^ [_229865, _229867, _229869, _229871] : [class_Orderings_Oord(_229865), c_Orderings_Oord__class_Oless(_229865, _229867, _229869), _229869 = _229871, -(c_Orderings_Oord__class_Oless(_229865, _229867, _229871))], (5471 ^ _83868) ^ [_230311, _230313, _230315, _230317] : [class_Orderings_Oorder(_230311), c_Orderings_Oord__class_Oless(_230311, _230313, _230315), _230313 = _230317, -(c_Orderings_Oord__class_Oless(_230311, _230317, _230315))], (5485 ^ _83868) ^ [_230757, _230759, _230761, _230763] : [class_Orderings_Opreorder(_230757), c_Orderings_Oord__class_Oless(_230757, _230759, _230761), c_Orderings_Oord__class_Oless(_230757, _230761, _230763), -(c_Orderings_Oord__class_Oless(_230757, _230759, _230763))], (5499 ^ _83868) ^ [_231205, _231207, _231209, _231211] : [class_Orderings_Oorder(_231205), c_Orderings_Oord__class_Oless(_231205, _231207, _231209), c_Orderings_Oord__class_Oless(_231205, _231211, _231207), -(c_Orderings_Oord__class_Oless(_231205, _231211, _231209))], (5513 ^ _83868) ^ [_231639, _231641, _231643] : [class_Orderings_Opreorder(_231639), c_Orderings_Oord__class_Oless(_231639, _231641, _231643), c_Orderings_Oord__class_Oless(_231639, _231643, _231641)], (5523 ^ _83868) ^ [_231965, _231967, _231969] : [class_Orderings_Olinorder(_231965), -(c_Orderings_Oord__class_Oless(_231965, _231967, _231969)), -(_231967 = _231969), -(c_Orderings_Oord__class_Oless(_231965, _231969, _231967))], (5537 ^ _83868) ^ [_232345] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _232345, _232345)], (5549 ^ _83868) ^ [_232741, _232743] : [5550 ^ _83868 : [(5551 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _232741, _232743)], (5553 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _232743, _232741)]], _232741 = _232743], (5539 ^ _83868) ^ [_232482, _232484] : [-(_232482 = _232484), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _232482, _232484)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _232484, _232482))], (5557 ^ _83868) ^ [_233032, _233034] : [-(_233032 = _233034), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233032, _233034)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233034, _233032))], (5567 ^ _83868) ^ [_233311] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233311, _233311)], (5569 ^ _83868) ^ [_233419, _233421] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233419, _233421), _233421 = _233419], (5575 ^ _83868) ^ [_233632, _233634] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233632, _233634), _233632 = _233634], (5581 ^ _83868) ^ [_233859, _233861, _233863] : [5582 ^ _83868 : [(5583 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233859, _233861))], (5585 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_233863, _233861), _233859))]], 5588 ^ _83868 : [(5589 ^ _83868) ^ [] : [-(_233859 = _233861)], (5591 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_233863, _233861), _233859))]], 5594 ^ _83868 : [(5595 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _233861, _233859))], (5597 ^ _83868) ^ [] : [hBOOL(hAPP(hAPP(_233863, _233861), _233859))]], -(hBOOL(hAPP(hAPP(_233863, _233861), _233859)))], (5601 ^ _83868) ^ [_234507] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _234507, _234507))], (5603 ^ _83868) ^ [_234615, _234617] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _234615, _234617)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _234617, _234615))], (5609 ^ _83868) ^ [_234830, _234832] : [_234830 = _234832, -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _234830, _234832))], (5615 ^ _83868) ^ [_235056, _235058, _235060] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _235056, _235058), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _235058, _235060), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _235056, _235060))], (5625 ^ _83868) ^ [_235371, _235373] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _235371, _235373), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _235373, _235371), -(_235371 = _235373)], (5635 ^ _83868) ^ [_235687, _235689, _235691, _235693] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_235687, tc_HOL_Obool), c_Relation_ODomain(_235687, _235689, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_235687, _235689), tc_HOL_Obool), _235691, _235693)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_235687, tc_HOL_Obool), c_Relation_ODomain(_235687, _235689, _235691), c_Relation_ODomain(_235687, _235689, _235693))))], (5637 ^ _83868) ^ [_235846, _235848, _235850, _235852] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_235846, tc_HOL_Obool), c_Relation_ORange(_235848, _235846, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_235848, _235846), tc_HOL_Obool), _235850, _235852)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_235846, tc_HOL_Obool), c_Relation_ORange(_235848, _235846, _235850), c_Relation_ORange(_235848, _235846, _235852))))], (5639 ^ _83868) ^ [_236006, _236008, _236010] : [class_Orderings_Olinorder(_236006), 5642 ^ _83868 : [(5643 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless(_236006, _236008, _236010)), -(c_Orderings_Oord__class_Oless__eq(_236006, _236010, _236008))], (5649 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless__eq(_236006, _236010, _236008), c_Orderings_Oord__class_Oless(_236006, _236008, _236010)]]], (5655 ^ _83868) ^ [_236502, _236504, _236506] : [class_Orderings_Olinorder(_236502), 5658 ^ _83868 : [(5659 ^ _83868) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_236502, _236504, _236506)), -(c_Orderings_Oord__class_Oless(_236502, _236506, _236504))], (5665 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(_236502, _236506, _236504), c_Orderings_Oord__class_Oless__eq(_236502, _236504, _236506)]]], (5671 ^ _83868) ^ [_236998, _237000, _237002] : [class_Orderings_Olinorder(_236998), -(c_Orderings_Oord__class_Oless__eq(_236998, _237000, _237002)), -(c_Orderings_Oord__class_Oless(_236998, _237002, _237000))], (5681 ^ _83868) ^ [_237324, _237326, _237328] : [class_Orderings_Oorder(_237324), 5684 ^ _83868 : [(5685 ^ _83868) ^ [] : [c_Orderings_Oord__class_Oless(_237324, _237326, _237328), 5688 ^ _83868 : [(5689 ^ _83868) ^ [] : 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c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat), _253448, _253450))), c_FunDef_Omin__strict)))], (6173 ^ _83868) ^ [_253972, _253974, _253976, _253978] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _253972), _253974)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _253976), _253972)), c_FunDef_Opair__less)), hBOOL(hAPP(hAPP(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))), hAPP(hAPP(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)), _253978), _253974)), c_FunDef_Omax__strict)), -(hBOOL(hAPP(hAPP(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))), hAPP(hAPP(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), _253976, _253978)), _253974)), c_FunDef_Omax__strict)))], (6187 ^ _83868) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(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)))], (6189 ^ _83868) ^ [] : [-(c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(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)))], (6191 ^ _83868) ^ [] : [-(c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less))], (6193 ^ _83868) ^ [_254659, _254661, _254663, _254665] : [c_FunDef_Oreduction__pair(_254659, _254661), -(c_FunDef_Oreduction__pair(_254663, hAPP(hAPP(c_FunDef_Orp__inv__image(_254659, _254663), _254661), _254665)))], (6199 ^ _83868) ^ [_254899, _254901] : [c_Wellfounded_Owf(_254899, _254901), -(c_Wellfounded_Owf(tc_fun(_254899, tc_HOL_Obool), c_Wellfounded_Omin__ext(_254899, _254901)))], (6205 ^ _83868) ^ [_255135, _255137, _255139] : [c_Wellfounded_Owf(_255135, _255137), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_255135, _255135), tc_HOL_Obool), c_Relation_Orel__comp(_255135, _255135, _255135, _255137, _255139), _255137), -(c_FunDef_Oreduction__pair(_255135, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_255135, _255135), tc_HOL_Obool), tc_fun(tc_prod(_255135, _255135), tc_HOL_Obool)), _255137), _255139)))], (6215 ^ _83868) ^ [_255497, _255499] : [-(c_FunDef_Orp__inv__image(_255497, _255499) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))))), tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))), tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_255499, _255497), tc_fun(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)), tc_fun(tc_fun(_255499, _255497), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool)), c_COMBS(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_255499, _255497), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)), tc_fun(tc_fun(_255499, _255497), tc_fun(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), tc_fun(tc_prod(_255497, _255497), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool))), tc_fun(_255499, _255497)), c_Product__Type_OPair(tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool), tc_fun(tc_prod(_255499, _255499), tc_HOL_Obool)))), c_Relation_Oinv__image(_255497, _255499))))), c_Relation_Oinv__image(_255497, _255499))))], (6217 ^ _83868) ^ [_256178, _256180, _256182, _256184, _256186, _256188, _256190, _256192] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_256178, _256180)), hAPP(hAPP(c_Product__Type_OPair(_256178, _256180), _256182), _256184)), _256186)), hBOOL(hAPP(hAPP(c_member(tc_prod(_256180, _256188)), hAPP(hAPP(c_Product__Type_OPair(_256180, _256188), _256184), _256190)), _256192)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_256178, _256188)), hAPP(hAPP(c_Product__Type_OPair(_256178, _256188), _256182), _256190)), c_Relation_Orel__comp(_256178, _256180, _256188, _256186, _256192))))], (6227 ^ _83868) ^ [_256733, _256735, _256737, _256739, _256741, _256743, _256745] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_256733, _256735), tc_HOL_Obool), _256737, _256739), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_256735, _256741), tc_HOL_Obool), _256743, _256745), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_256733, _256741), tc_HOL_Obool), c_Relation_Orel__comp(_256733, _256735, _256741, _256737, _256743), c_Relation_Orel__comp(_256733, _256735, _256741, _256739, _256745)))], (6237 ^ _83868) ^ [_257133, _257135] : [-(c_Transitive__Closure_Otrancl(_257133, _257135) = c_Relation_Orel__comp(_257133, _257133, _257133, _257135, c_Transitive__Closure_Ortrancl(_257133, _257135)))], (6239 ^ _83868) ^ [_257239, _257241] : [-(c_Transitive__Closure_Otrancl(_257239, _257241) = c_Relation_Orel__comp(_257239, _257239, _257239, c_Transitive__Closure_Ortrancl(_257239, _257241), _257241))], (6241 ^ _83868) ^ [_257359, _257361, _257363] : [-(c_Product__Type_Ointernal__split(_257359, _257361, _257363) = c_Product__Type_Oprod_Oprod__case(_257359, _257361, _257363))], (6243 ^ _83868) ^ [_257520, _257522, _257524, _257526, _257528] : [c_Relation_Osingle__valued(_257520, _257522, _257524), c_Relation_Osingle__valued(_257522, _257526, _257528), -(c_Relation_Osingle__valued(_257520, _257526, c_Relation_Orel__comp(_257520, _257522, _257526, _257524, _257528)))], (6253 ^ _83868) ^ [_257867, _257869] : [class_Lattices_Olattice(_257867), -(class_Lattices_Osemilattice__inf(tc_fun(_257869, _257867)))], (6259 ^ _83868) ^ [_258079, _258081] : [class_Orderings_Opreorder(_258079), -(class_Orderings_Opreorder(tc_fun(_258081, _258079)))], (6265 ^ _83868) ^ [_258291, _258293] : [class_Lattices_Olattice(_258291), -(class_Lattices_Olattice(tc_fun(_258293, _258291)))], (6271 ^ _83868) ^ [_258503, _258505] : [class_Orderings_Oorder(_258503), -(class_Orderings_Oorder(tc_fun(_258505, _258503)))], (6277 ^ _83868) ^ [_258715, _258717] : [class_Orderings_Oord(_258715), -(class_Orderings_Oord(tc_fun(_258717, _258715)))], (6283 ^ _83868) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_Nat_Onat))], (6285 ^ _83868) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (6287 ^ _83868) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (6289 ^ _83868) ^ [] : [-(class_Lattices_Olattice(tc_Nat_Onat))], (6291 ^ _83868) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (6293 ^ _83868) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (6295 ^ _83868) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (6297 ^ _83868) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (6299 ^ _83868) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (6301 ^ _83868) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (6303 ^ _83868) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (6305 ^ _83868) ^ [_259495, _259497] : [-(hAPP(c_COMBI(_259495), _259497) = _259497)], (6307 ^ _83868) ^ [_259622, _259624, _259626, _259628] : [-(hAPP(c_COMBK(_259622, _259624, _259626), _259628) = _259626)], (6309 ^ _83868) ^ [_259783, _259785, _259787, _259789, _259791, _259793] : [-(hAPP(hAPP(hAPP(c_COMBB(_259783, _259785, _259787), _259789), _259791), _259793) = hAPP(_259789, hAPP(_259791, _259793)))], (6311 ^ _83868) ^ [_259960, _259962, _259964, _259966, _259968, _259970] : [-(hAPP(hAPP(hAPP(c_COMBC(_259960, _259962, _259964), _259966), _259968), _259970) = hAPP(hAPP(_259966, _259970), _259968))], (6313 ^ _83868) ^ [_260137, _260139, _260141, _260143, _260145, _260147] : [-(hAPP(hAPP(hAPP(c_COMBS(_260137, _260139, _260141), _260143), _260145), _260147) = hAPP(hAPP(_260143, _260147), hAPP(_260145, _260147)))], (6315 ^ _83868) ^ [_260276, _260278] : [hBOOL(hAPP(hAPP(c_fequal, _260276), _260278)), -(_260276 = _260278)], (6321 ^ _83868) ^ [_260498, _260500] : [_260498 = _260500, -(hBOOL(hAPP(hAPP(c_fequal, _260498), _260500)))], (6327 ^ _83868) ^ [] : [hBOOL(c_fFalse)], (6329 ^ _83868) ^ [_260758] : [hBOOL(hAPP(c_fNot, _260758)), hBOOL(_260758)], (6335 ^ _83868) ^ [_260953] : [-(hBOOL(_260953)), -(hBOOL(hAPP(c_fNot, _260953)))], (6341 ^ _83868) ^ [_261164, _261166] : [hBOOL(_261164), hBOOL(_261166), -(hBOOL(hAPP(hAPP(c_fconj, _261164), _261166)))], (6351 ^ _83868) ^ [_261473, _261475] : [hBOOL(hAPP(hAPP(c_fconj, _261473), _261475)), -(hBOOL(_261473))], (6357 ^ _83868) ^ [_261673, _261675] : [hBOOL(hAPP(hAPP(c_fconj, _261673), _261675)), -(hBOOL(_261675))]], input).
% 0.50/1.35  ncf('1',plain,[6367 : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____))), 6371 : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____)))],start(6363 ^ 0)).
% 0.50/1.35  ncf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))), v_a____)), v_c____))))],extension(1337 ^ 3)).
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% 0.50/1.35  ncf('1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))))],extension(1363 ^ 5)).
% 0.50/1.35  ncf('1.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____)))],extension(1375 ^ 6)).
% 0.50/1.35  ncf('1.1.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))))],extension(6365 ^ 7)).
% 0.50/1.35  ncf('1.2',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))))],extension(1381 ^ 3)).
% 0.50/1.35  ncf('1.2.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))))],extension(1369 ^ 4)).
% 0.50/1.35  ncf('1.2.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))), v_a____)), v_c____))))],extension(1357 ^ 5)).
% 0.50/1.35  ncf('1.2.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_Obelow), v_P____)), v_c____)), v_b____))), v_b____)), v_a____))), v_a____)), v_c____))))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____)))],extension(1343 ^ 6)).
% 0.50/1.35  ncf('1.2.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(v_F, v_P_H____))))],extension(6369 ^ 7)).
% 0.50/1.35  %-----------------------------------------------------
% 0.50/1.35  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------